% Mizar problem: t8_waybel19,waybel19,473,5 
fof(t8_waybel19, conjecture,  (! [A] :  ( (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) &  (v1_waybel19(A) & l1_waybel_9(A)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v2_pre_topc(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v1_waybel19(B) & l1_waybel_9(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(A))))  => r3_waybel_0(A, B, C, D)) )  => v5_pre_topc(C, A, 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(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  => v13_struct_0(A, 1)) ) ) ).
fof(cc10_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  (v1_lattice3(A) & v24_waybel_0(A)) )  =>  (v3_orders_2(A) &  (v1_lattice3(A) & v2_yellow_0(A)) ) ) ) ) ).
fof(cc11_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, 1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ) ).
fof(cc11_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v3_lattice3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v24_waybel_0(A) & v25_waybel_0(A)) ) ) ) ) ) ).
fof(cc12_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v25_waybel_0(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v1_yellow_0(A)) ) ) ) ) ).
fof(cc13_waybel_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) &  (v1_yellow_0(A) & v24_waybel_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v3_lattice3(A)) ) ) ) ) ) ) ).
fof(cc14_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) & v25_waybel_0(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) & v2_lattice3(A)) ) ) ) ) ) ).
fof(cc15_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) &  (v2_yellow_0(A) & v25_waybel_0(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v2_yellow_0(A)) ) ) ) ) ) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
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(cc1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc1_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc1_tops_1, 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) => v3_pre_topc(B, A)) ) ) ) ) ).
fof(cc1_waybel11, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => v1_finset_1(B)) ) ) ) ).
fof(cc1_waybel19, axiom,  (! [A] :  (l1_waybel_9(A) =>  ( (v13_struct_0(A, 1) &  (v2_pre_topc(A) & v3_orders_2(A)) )  =>  (v13_struct_0(A, 1) &  (v2_pre_topc(A) &  (v3_orders_2(A) & v1_waybel19(A)) ) ) ) ) ) ).
fof(cc1_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) =>  (v1_waybel_0(B, A) & v2_waybel_0(B, A)) ) ) ) ) ) ).
fof(cc1_waybel_3, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v16_waybel_0(A) & l1_orders_2(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_waybel_0(B, A) & v2_waybel_0(B, A)) ) ) ) ) ).
fof(cc1_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v3_lattice3(A))  =>  ( ~ (v2_struct_0(A))  &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ).
fof(cc1_yellow_3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_struct_0(A) => v1_yellow_3(A)) ) ) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
fof(cc2_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
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(cc2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_subset_1(B, A))  =>  ~ (v1_xboole_0(B)) ) ) ) ) ) ).
fof(cc2_tops_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) => v2_tops_1(B, A)) ) ) ) ) ).
fof(cc2_waybel11, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v1_xboole_0(B) =>  (v12_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ).
fof(cc2_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v16_waybel_0(A) & v24_waybel_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_lattice3(A) & v16_waybel_0(A)) ) ) ) ) ) ) ) ).
fof(cc2_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v13_struct_0(A, 1) & v3_orders_2(A))  =>  (v13_struct_0(A, 1) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v3_lattice3(A)) ) ) ) ) ) ) ).
fof(cc2_yellow_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ~ (v1_yellow_3(A))  =>  ~ (v2_struct_0(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(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(cc3_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (v1_xboole_0(B) => v1_subset_1(B, A)) ) ) ) ) ).
fof(cc3_tops_1, 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) => v3_tops_1(B, A)) ) ) ) ) ).
fof(cc3_waybel11, axiom,  (! [A] :  ( (v13_struct_0(A, 1) & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => v13_waybel_0(B, A)) ) ) ) ).
fof(cc3_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v13_struct_0(A, 1) & v3_orders_2(A))  =>  (v13_struct_0(A, 1) &  (v3_orders_2(A) & v2_waybel_3(A)) ) ) ) ) ).
fof(cc3_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v3_lattice3(A))  =>  ( ~ (v2_struct_0(A))  & v3_yellow_0(A)) ) ) ) ).
fof(cc3_yellow_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v3_orders_2(A))  =>  ~ (v1_yellow_3(A)) ) ) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
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(cc4_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ) ).
fof(cc4_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v3_tops_1(B, A) => v2_tops_1(B, A)) ) ) ) ) ).
fof(cc4_waybel11, 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_xboole_0(B) =>  (v2_waybel11(B, A) & v3_waybel11(B, A)) ) ) ) ) ) ).
fof(cc4_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v3_waybel_3(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v24_waybel_0(A) & v2_waybel_3(A)) ) ) ) ) ) ).
fof(cc4_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_yellow_0(A) =>  (v1_yellow_0(A) & v2_yellow_0(A)) ) ) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  ~ (v8_struct_0(A)) ) ) ) ) ).
fof(cc5_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc5_tops_1, 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) & v2_tops_1(B, A))  => v3_tops_1(B, A)) ) ) ) ) ).
fof(cc5_waybel11, 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) & l1_orders_2(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) => v1_waybel11(B, A)) ) ) ) ).
fof(cc5_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) &  (v24_waybel_0(A) & v2_waybel_3(A)) ) ) ) ) )  =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_yellow_0(A) &  (v1_lattice3(A) & v3_waybel_3(A)) ) ) ) ) ) ) ) ).
fof(cc5_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v1_yellow_0(A) & v2_yellow_0(A))  => v3_yellow_0(A)) ) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_0(A)) ) ) ).
fof(cc6_tops_1, 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) & v3_tops_1(B, A))  => v1_xboole_0(B)) ) ) ) ) ).
fof(cc6_waybel11, axiom,  (! [A] :  ( (v2_pre_topc(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & l1_waybel_9(A)) ) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) =>  (v12_waybel_0(B, A) => v3_waybel11(B, A)) ) ) ) ) ).
fof(cc6_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) & v3_orders_2(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v16_waybel_0(A)) ) ) ) ) ).
fof(cc6_waybel_3, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v3_lattice3(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_3(A)) ) ) ) ) ) ) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(B)) ) ) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_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(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(B, 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(d10_xboole_0, axiom,  (! [A] :  (! [B] :  (A=B <=>  (r1_tarski(A, B) & r1_tarski(B, A)) ) ) ) ).
fof(d18_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k6_waybel_0(A, B)=k4_waybel_0(A, k6_domain_1(u1_struct_0(A), B))) ) ) ) ).
fof(d1_waybel19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_waybel_9(A))  =>  (v1_waybel19(A) <=>  (v1_tops_2(a_1_0_waybel19(A), A) &  (v2_cantor_1(a_1_0_waybel19(A), A) & m1_subset_1(a_1_0_waybel19(A), k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(A))))) ) ) ) ) ).
fof(d2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) => k1_struct_0(A)=k1_xboole_0) ) ).
fof(d30_waybel_0, 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] :  (m1_subset_1(D, k1_zfmisc_1(u1_struct_0(A))) =>  (r3_waybel_0(A, B, C, D) <=>  (r2_yellow_0(A, D) =>  (r2_yellow_0(B, k7_relset_1(u1_struct_0(A), u1_struct_0(B), C, D)) & k2_yellow_0(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, k2_yellow_0(A, D))) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d4_subset_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k3_subset_1(A, B)=k4_xboole_0(A, B)) ) ) ).
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(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(dt_k1_funct_1, axiom, $true).
fof(dt_k1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) => m1_subset_1(k1_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_yellow_0, axiom,  (! [A, B] :  (l1_orders_2(A) => m1_subset_1(k1_yellow_0(A, B), u1_struct_0(A))) ) ).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_yellow_0, axiom,  (! [A, B] :  (l1_orders_2(A) => m1_subset_1(k2_yellow_0(A, B), u1_struct_0(A))) ) ).
fof(dt_k2_zfmisc_1, axiom, $true).
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(dt_k3_subset_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k3_subset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k3_yellow_3, axiom,  (! [A, B] :  ( (l1_orders_2(A) & l1_orders_2(B))  =>  (v1_orders_2(k3_yellow_3(A, B)) & l1_orders_2(k3_yellow_3(A, B))) ) ) ).
fof(dt_k4_waybel_0, axiom,  (! [A, B] :  ( (l1_orders_2(A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => m1_subset_1(k4_waybel_0(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k5_ordinal1, axiom, $true).
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(dt_k6_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  & m1_subset_1(B, u1_struct_0(A)))  => m1_subset_1(k6_waybel_0(A, B), k1_zfmisc_1(u1_struct_0(A)))) ) ).
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(dt_k7_relat_1, axiom, $true).
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(dt_k8_relat_1, axiom, $true).
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(dt_l1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => l1_struct_0(A)) ) ).
fof(dt_l1_pre_topc, axiom,  (! [A] :  (l1_pre_topc(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l1_waybel_9, axiom,  (! [A] :  (l1_waybel_9(A) =>  (l1_pre_topc(A) & l1_orders_2(A)) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
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(dt_u1_struct_0, axiom, $true).
fof(existence_l1_orders_2, axiom,  (? [A] : l1_orders_2(A)) ).
fof(existence_l1_pre_topc, axiom,  (? [A] : l1_pre_topc(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l1_waybel_9, axiom,  (? [A] : l1_waybel_9(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc10_yellow_3, axiom,  (! [A, B, C, D] :  ( (l1_orders_2(A) &  (l1_orders_2(B) &  ( (v2_waybel_0(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (v2_waybel_0(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) )  => v2_waybel_0(k2_zfmisc_1(C, D), k3_yellow_3(A, B))) ) ).
fof(fc11_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) & l1_orders_2(A)) )  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))))  => v13_waybel_0(k4_waybel_0(A, B), A)) ) ).
fof(fc11_yellow_3, axiom,  (! [A, B, C, D] :  ( (l1_orders_2(A) &  (l1_orders_2(B) &  ( (v13_waybel_0(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (v13_waybel_0(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) )  => v13_waybel_0(k2_zfmisc_1(C, D), k3_yellow_3(A, B))) ) ).
fof(fc12_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k4_xboole_0(A, B))) ) ).
fof(fc12_yellow_3, axiom,  (! [A, B, C, D] :  ( (l1_orders_2(A) &  (l1_orders_2(B) &  ( (v12_waybel_0(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (v12_waybel_0(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) )  => v12_waybel_0(k2_zfmisc_1(C, D), k3_yellow_3(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(fc13_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v4_orders_2(A) & l1_orders_2(A)) )  & m1_subset_1(B, u1_struct_0(A)))  => v13_waybel_0(k6_waybel_0(A, B), A)) ) ).
fof(fc13_yellow_3, axiom,  (! [A] :  ( ( ~ (v1_yellow_3(A))  & l1_orders_2(A))  =>  ~ (v1_xboole_0(u1_orders_2(A))) ) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc14_yellow_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v5_orders_2(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v5_orders_2(B) &  (v3_lattice3(B) & l1_orders_2(B)) ) ) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v3_lattice3(k3_yellow_3(A, B))) ) ) ).
fof(fc15_tops_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v3_tops_1(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_tops_1(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc16_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) & l1_orders_2(A)) ) )  &  (v2_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v2_waybel_0(k4_waybel_0(A, B), A)) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc1_finset_1, axiom,  (! [A] : v1_finset_1(k1_tarski(A))) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_waybel11, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  (v3_waybel11(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v2_waybel11(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc1_yellow_0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k1_tarski(A), k1_tarski(A)))) =>  (v13_struct_0(g1_orders_2(k1_tarski(A), B), 1) & v1_orders_2(g1_orders_2(k1_tarski(A), B))) ) ) ).
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(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(fc2_finset_1, axiom,  (! [A, B] : v1_finset_1(k2_tarski(A, B))) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc2_tops_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v4_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v3_pre_topc(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc2_yellow_3, axiom,  (! [A, B] :  ( (l1_orders_2(A) &  (v1_xboole_0(B) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_xboole_0(k4_waybel_0(A, B))) ) ).
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(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(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(fc3_struct_0, axiom,  (! [A] :  (l1_struct_0(A) => v1_xboole_0(k1_struct_0(A))) ) ).
fof(fc3_tops_1, axiom,  (! [A, B] :  ( ( (v2_pre_topc(A) & l1_pre_topc(A))  &  (v3_pre_topc(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v4_pre_topc(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc3_waybel11, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  (v1_waybel11(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v2_waybel11(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc3_xboole_0, axiom,  (! [A, B] :  ~ (v1_xboole_0(k2_tarski(A, B))) ) ).
fof(fc3_yellow_3, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  & l1_orders_2(B)) )  =>  ( ~ (v2_struct_0(k3_yellow_3(A, B)))  & v1_orders_2(k3_yellow_3(A, B))) ) ) ).
fof(fc4_waybel11, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  (v2_waybel11(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v1_waybel11(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc4_yellow_3, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) & l1_orders_2(A))  &  (v3_orders_2(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v3_orders_2(k3_yellow_3(A, B))) ) ) ).
fof(fc5_yellow_3, axiom,  (! [A, B] :  ( ( (v5_orders_2(A) & l1_orders_2(A))  &  (v5_orders_2(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v5_orders_2(k3_yellow_3(A, B))) ) ) ).
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(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc6_yellow_3, axiom,  (! [A, B] :  ( ( (v4_orders_2(A) & l1_orders_2(A))  &  (v4_orders_2(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v4_orders_2(k3_yellow_3(A, B))) ) ) ).
fof(fc6_yellow_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (v12_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v13_waybel_0(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc7_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  =>  ~ (v1_xboole_0(k4_waybel_0(A, B))) ) ) ).
fof(fc7_yellow_3, axiom,  (! [A, B] :  ( ( (v1_lattice3(A) & l1_orders_2(A))  &  (v1_lattice3(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v1_lattice3(k3_yellow_3(A, B))) ) ) ).
fof(fc7_yellow_6, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  (v13_waybel_0(B, A) & m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A)))) )  => v12_waybel_0(k3_subset_1(u1_struct_0(A), B), A)) ) ).
fof(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc8_yellow_3, axiom,  (! [A, B] :  ( ( (v2_lattice3(A) & l1_orders_2(A))  &  (v2_lattice3(B) & l1_orders_2(B)) )  =>  (v1_orders_2(k3_yellow_3(A, B)) & v2_lattice3(k3_yellow_3(A, B))) ) ) ).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
fof(fc9_waybel_0, 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(k6_waybel_0(A, B)))  & v2_waybel_0(k6_waybel_0(A, B), A)) ) ) ).
fof(fc9_yellow_3, axiom,  (! [A, B, C, D] :  ( (l1_orders_2(A) &  (l1_orders_2(B) &  ( (v1_waybel_0(C, A) & m1_subset_1(C, k1_zfmisc_1(u1_struct_0(A))))  &  (v1_waybel_0(D, B) & m1_subset_1(D, k1_zfmisc_1(u1_struct_0(B)))) ) ) )  => v1_waybel_0(k2_zfmisc_1(C, D), k3_yellow_3(A, B))) ) ).
fof(fraenkel_a_1_0_waybel19, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  & l1_waybel_9(B))  =>  (r2_hidden(A, a_1_0_waybel19(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k3_subset_1(u1_struct_0(B), k6_waybel_0(B, C))) ) ) ) ) ).
fof(fraenkel_a_1_14_waybel19, axiom,  (! [A, B] :  ( ( ~ (v2_struct_0(B))  &  (v2_pre_topc(B) &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) &  (v1_waybel19(B) & l1_waybel_9(B)) ) ) ) ) ) ) ) )  =>  (r2_hidden(A, a_1_14_waybel19(B)) <=>  (? [C] :  (m1_subset_1(C, u1_struct_0(B)) & A=k3_subset_1(u1_struct_0(B), k6_waybel_0(B, C))) ) ) ) ) ).
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(involutiveness_k3_subset_1, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k3_subset_1(A, k3_subset_1(A, B))=B) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
fof(rc10_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(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))) &  ( ~ (v1_xboole_0(B))  &  (v2_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ).
fof(rc11_waybel_0, 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))  &  (v1_waybel_0(B, A) &  (v2_waybel_0(B, A) &  (v12_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ) ) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
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(rc1_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc1_tops_1, 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(rc1_waybel11, 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_xboole_0(B))  &  (v1_finset_1(B) & v1_waybel_0(B, A)) ) ) ) ) ) ).
fof(rc1_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v1_waybel_0(B, A) & v2_waybel_0(B, A)) ) ) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_yellow_0, axiom,  (? [A] :  (l1_orders_2(A) &  (v13_struct_0(A, 1) &  (v1_orders_2(A) & v3_orders_2(A)) ) ) ) ).
fof(rc1_yellow_3, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_struct_0(A))  &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  ~ (v1_yellow_3(A)) ) ) ) ) ) ) ) ).
fof(rc21_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc22_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc2_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_tops_1, 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)) ) ) ) ) ).
fof(rc2_waybel11, axiom,  (? [A] :  (l1_orders_2(A) &  (v8_struct_0(A) &  (v13_struct_0(A, 1) &  (v1_orders_2(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ) ) ) ) ).
fof(rc2_waybel_0, 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_xboole_0(B))  &  (v1_finset_1(B) &  (v1_waybel_0(B, A) & v2_waybel_0(B, A)) ) ) ) ) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc3_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_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc3_tops_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))  &  (v3_pre_topc(B, A) & v4_pre_topc(B, A)) ) ) ) ) ) ).
fof(rc3_waybel11, 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))) &  (v2_waybel11(B, A) & v3_waybel11(B, A)) ) ) ) ) ).
fof(rc4_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(rc4_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc4_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_subset_1(B, A)) ) ) ) ).
fof(rc4_tops_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v1_tops_1(B, A)) ) ) ) ).
fof(rc5_subset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc5_tops_1, axiom,  (! [A] :  (l1_pre_topc(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v2_tops_1(B, A)) ) ) ) ).
fof(rc5_waybel11, 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))) &  (v12_waybel_0(B, A) &  (v13_waybel_0(B, A) &  (v1_waybel11(B, A) & v2_waybel11(B, A)) ) ) ) ) ) ) ).
fof(rc6_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_subset_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc6_tops_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_tops_1(B, A)) ) ) ) ) ) ).
fof(rc7_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(rc7_tops_1, axiom,  (! [A] :  ( (v2_pre_topc(A) & l1_pre_topc(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) & v3_tops_1(B, A)) ) ) ) ).
fof(rc7_waybel_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  (v12_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ).
fof(rc8_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(rc8_waybel_0, 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))  &  (v12_waybel_0(B, A) & v13_waybel_0(B, A)) ) ) ) ) ) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_waybel_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(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))) &  ( ~ (v1_xboole_0(B))  &  (v1_waybel_0(B, A) & v12_waybel_0(B, A)) ) ) ) ) ) ).
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(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(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(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(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(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(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, 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(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
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(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(t10_yellow_5, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(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)) =>  (r3_orders_2(A, C, B) => k12_lattice3(A, B, C)=C) ) ) ) ) ) ) ).
fof(t17_yellow_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v5_orders_2(A) &  (v3_lattice3(A) & l1_orders_2(A)) ) )  =>  (! [B] :  (r1_yellow_0(A, B) & r2_yellow_0(A, B)) ) ) ) ).
fof(t18_waybel_0, 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, k6_waybel_0(A, B)) <=> r1_orders_2(A, B, C)) ) ) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t22_yellow_2, axiom,  (! [A] :  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) &  (v3_lattice3(B) & l1_orders_2(B)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_struct_0(B)) =>  (r2_tarski(C, A) =>  (r3_orders_2(B, C, k1_yellow_0(B, A)) & r3_orders_2(B, k2_yellow_0(B, A), C)) ) ) ) ) ) ) ).
fof(t23_yellow_0, 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)) =>  (D=k12_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(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t35_yellow_0, axiom,  (! [A] :  (l1_orders_2(A) =>  (! [B] :  (! [C] :  ( (r1_tarski(B, C) &  (r2_yellow_0(A, B) & r2_yellow_0(A, C)) )  => r1_orders_2(A, k2_yellow_0(A, C), k2_yellow_0(A, B))) ) ) ) ) ).
fof(t35_yellow_9, 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_tops_2(C, B) &  (v2_cantor_1(C, B) & 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))))) )  =>  (v5_pre_topc(D, A, B) <=>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(u1_struct_0(B))) =>  (r2_tarski(E, C) => v4_pre_topc(k8_relset_1(u1_struct_0(A), u1_struct_0(B), D, k3_subset_1(u1_struct_0(B), E)), A)) ) ) ) ) ) ) ) ) ) ) ) ).
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_waybel_0, 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_yellow_0(A, k6_waybel_0(A, B)) & k2_yellow_0(A, k6_waybel_0(A, B))=B) ) ) ) ) ).
fof(t3_boole, axiom,  (! [A] : k4_xboole_0(A, k1_xboole_0)=A) ).
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(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_boole, axiom,  (! [A] : k4_xboole_0(k1_xboole_0, A)=k1_xboole_0) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t4_waybel19, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v1_waybel19(A) & l1_waybel_9(A)) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_pre_topc(k3_subset_1(u1_struct_0(A), k6_waybel_0(A, B)), A) & v4_pre_topc(k6_waybel_0(A, B), A)) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
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(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(t8_yellow_3, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) )  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(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))))) )  =>  (! [D] :  (m1_subset_1(D, u1_struct_0(A)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(A)) =>  (r3_waybel_0(A, B, C, k7_domain_1(u1_struct_0(A), D, E)) <=> k3_funct_2(u1_struct_0(A), u1_struct_0(B), C, k12_lattice3(A, D, E))=k12_lattice3(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))) ) ) ) ) ) ) ) ) ) ) ).
