% Mizar problem: t47_waybel34,waybel34,2101,5 
fof(t47_waybel34, conjecture,  (! [A] :  ( ~ (v2_setfam_1(A))  => k8_waybel34(A)=k2_yellow20(k4_waybel34(A), k6_yellow21(A))) ) ).
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(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(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(cc10_waybel_1, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v11_waybel_1(A))  =>  ( ~ (v2_struct_0(A))  & v9_waybel_1(A)) ) ) ) ).
fof(cc10_yellow21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v3_yellow21(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))  &  (v2_altcat_1(B) &  (v3_altcat_2(B, A) & v3_yellow21(B)) ) ) ) ) ) ) ) ).
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_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(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
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(cc1_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) =>  (v3_orders_2(A) => v2_orders_2(A)) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(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_waybel10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(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_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v6_waybel_1(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) &  (v11_quantal1(B) & v5_orders_3(B, A, 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_waybel17, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) & l1_orders_2(A)) ) )  &  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v5_orders_2(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)) & v22_waybel_0(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(cc1_waybel21, axiom,  (! [A, B] :  ( ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_lattice3(A) & l1_orders_2(A)) ) ) )  &  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(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_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v19_waybel_0(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(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_2, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v16_waybel_0(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v1_lattice3(A) & v2_lattice3(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_waybel_8, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & v2_waybel_8(A)) ) ) ) )  =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & v3_waybel_3(A)) ) ) ) ) ) ) ) ).
fof(cc1_yellow21, axiom,  (! [A] :  (l2_altcat_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & v3_yellow21(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & v2_yellow21(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_2, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_yellow_0(A) &  (v24_waybel_0(A) & v25_waybel_0(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v3_lattice3(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_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(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(cc2_lattice3, axiom,  (! [A] :  (l1_orders_2(A) =>  (v2_lattice3(A) =>  ~ (v2_struct_0(A)) ) ) ) ).
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(cc2_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(B)) ) ) ) ).
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_setfam_1, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
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_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_2, 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_1(A) & v10_waybel_1(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_waybel_8, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v2_waybel_8(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v24_waybel_0(A) & v1_waybel_8(A)) ) ) ) ) ) ).
fof(cc2_yellow18, axiom,  (! [A] :  (l2_altcat_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & v4_yellow18(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v9_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v2_yellow18(A) & v3_yellow18(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_yellow21, axiom,  (! [A] :  (l2_altcat_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & v2_yellow21(A)) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v4_yellow18(A) & v1_yellow21(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(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(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_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(cc3_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(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(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_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_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(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_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v7_waybel_1(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v6_waybel_1(B, A)) ) ) ) ) ) ) ).
fof(cc3_waybel_2, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v13_struct_0(A, 1) & v3_orders_2(A))  =>  (v13_struct_0(A, 1) &  (v3_orders_2(A) & v1_waybel_2(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_waybel_8, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & v3_waybel_8(A)) ) ) ) )  =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & v2_waybel_8(A)) ) ) ) ) ) ) ) ).
fof(cc3_yellow18, axiom,  (! [A] :  (l2_altcat_1(A) =>  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v9_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v2_yellow18(A) & v3_yellow18(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & v4_yellow18(A)) ) ) ) ) ) ) ).
fof(cc3_yellow21, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_wellord1(A))  =>  (v1_relat_1(A) &  (v1_wellord1(A) &  (v1_relat_2(A) &  (v4_relat_2(A) &  (v6_relat_2(A) & v8_relat_2(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(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(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(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(cc4_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_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_setfam_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v2_setfam_1(A)) ) ) ).
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_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_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(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_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v8_waybel_1(B, A)) )  =>  (v1_funct_1(B) &  (v1_funct_2(B, u1_struct_0(A), u1_struct_0(A)) & v6_waybel_1(B, A)) ) ) ) ) ) ) ).
fof(cc4_waybel_2, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v2_waybel_2(A)) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v24_waybel_0(A) & v1_waybel_2(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_waybel_8, axiom,  (! [A] :  (l1_orders_2(A) =>  ( (v7_struct_0(A) &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) )  =>  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) & v3_waybel_8(A)) ) ) ) ) ) ) ) ).
fof(cc4_yellow18, axiom,  (! [A, B, C] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v2_yellow18(A) & l2_altcat_1(A)) ) ) ) )  &  (m1_subset_1(B, u1_struct_0(A)) & m1_subset_1(C, u1_struct_0(A))) )  =>  (! [D] :  (m1_subset_1(D, k1_altcat_1(A, B, C)) =>  (v1_relat_1(D) & v1_funct_1(D)) ) ) ) ) ).
fof(cc4_yellow21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v3_yellow18(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))  &  (v2_altcat_1(B) &  (v3_altcat_2(B, A) & v3_yellow18(B)) ) ) ) ) ) ) ) ).
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_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(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(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_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_1, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v9_waybel_1(A))  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) & v2_lattice3(A)) ) ) ) ) ) ) ) ).
fof(cc5_waybel_2, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v24_waybel_0(A) & v1_waybel_2(A)) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & v2_waybel_2(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_yellow21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v2_yellow18(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))  &  (v2_altcat_1(B) &  (v3_altcat_2(B, A) & v2_yellow18(B)) ) ) ) ) ) ) ) ).
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_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(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(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_0(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_1, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v9_waybel_1(A))  =>  ( ~ (v2_struct_0(A))  & v2_waybel_1(A)) ) ) ) ).
fof(cc6_waybel_2, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v9_waybel_1(A) & v3_lattice3(A)) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_waybel_1(A) & v2_waybel_2(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(cc6_yellow21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v9_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))  =>  ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) & v9_altcat_1(B)) ) ) ) ) ) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(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(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(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(A)) ) ) ) ).
fof(cc7_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(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)) & v17_waybel_0(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v19_waybel_0(C, A, B) & v21_waybel_0(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc7_waybel_1, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v9_waybel_1(A))  =>  ( ~ (v2_struct_0(A))  & v2_yellow_0(A)) ) ) ) ).
fof(cc7_waybel_2, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v2_waybel_1(A) &  (v3_lattice3(A) & v2_waybel_2(A)) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) & v9_waybel_1(A)) ) ) ) ) ) ) ).
fof(cc7_yellow21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v1_yellow21(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))  &  (v2_altcat_1(B) &  (v3_altcat_2(B, A) & v1_yellow21(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(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(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(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
fof(cc8_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(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)) & v18_waybel_0(C, A, B)) )  =>  (v1_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v20_waybel_0(C, A, B) & v22_waybel_0(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc8_waybel_1, axiom,  (! [A] :  (l1_orders_2(A) =>  ( ( ~ (v2_struct_0(A))  & v11_waybel_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_yellow_0(A) &  (v2_waybel_1(A) & v10_waybel_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc8_yellow21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v2_yellow21(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))  &  (v2_altcat_1(B) &  (v3_altcat_2(B, A) & v2_yellow21(B)) ) ) ) ) ) ) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(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(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(cc9_waybel_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(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)) & v23_waybel_0(C, A, B)) )  =>  (v1_funct_1(C) &  (v2_funct_1(C) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_orders_3(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc9_waybel_1, 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_yellow_0(A) &  (v2_waybel_1(A) & v10_waybel_1(A)) ) ) ) ) ) ) )  =>  ( ~ (v2_struct_0(A))  & v11_waybel_1(A)) ) ) ) ).
fof(commutativity_k1_yellow20, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_yellow20(A, B)=k1_yellow20(B, A)) ) ).
fof(commutativity_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(commutativity_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k9_subset_1(A, C, B)) ) ).
fof(d10_setfam_1, axiom,  (! [A] :  (v2_setfam_1(A) <=>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  ~ (r2_tarski(B, A)) ) ) ) ) ).
fof(d10_xboole_0, axiom,  (! [A] :  (! [B] :  (A=B <=>  (r1_tarski(A, B) & r1_tarski(B, A)) ) ) ) ).
fof(d10_yellow21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ ( (! [B] :  (m1_subset_1(B, A) => v1_xboole_0(B)) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v6_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) &  (v2_yellow21(B) & l2_altcat_1(B)) ) ) ) ) )  =>  (B=k6_yellow21(A) <=>  ( (! [C] :  ( (v3_orders_2(C) &  (v4_orders_2(C) &  (v5_orders_2(C) &  (v1_lattice3(C) &  (v2_lattice3(C) & l1_orders_2(C)) ) ) ) )  =>  (m1_subset_1(C, u1_struct_0(B)) <=>  (v1_orders_2(C) &  (v3_lattice3(C) & r2_tarski(u1_struct_0(C), 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(k3_yellow21(B, C)), u1_struct_0(k3_yellow21(B, D))) &  (v5_orders_3(E, k3_yellow21(B, C), k3_yellow21(B, D)) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k3_yellow21(B, C)), u1_struct_0(k3_yellow21(B, D)))))) ) )  =>  (r2_tarski(E, k1_altcat_1(B, C, D)) <=> v22_waybel_0(E, k3_yellow21(B, C), k3_yellow21(B, D))) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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(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(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(d2_yellow20, 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_yellow20(A, B) <=>  (k9_xtuple_0(C)=k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [D] :  (r2_hidden(D, k3_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B))) => k1_funct_1(C, D)=k3_xboole_0(k1_funct_1(A, D), k1_funct_1(B, D))) ) ) ) ) ) ) ) ) ) ).
fof(d3_tarski, axiom,  (! [A] :  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (r2_hidden(C, A) => r2_hidden(C, B)) ) ) ) ) ).
fof(d3_yellow20, axiom,  (! [A] :  (l2_altcat_1(A) =>  (! [B] :  (l2_altcat_1(B) =>  (r1_yellow20(A, B) =>  (! [C] :  ( (v6_altcat_1(C) & l2_altcat_1(C))  =>  (C=k2_yellow20(A, B) <=>  (u1_struct_0(C)=k3_xboole_0(u1_struct_0(A), u1_struct_0(B)) &  (u1_altcat_1(C)=k1_yellow20(u1_altcat_1(A), u1_altcat_1(B)) & u2_altcat_1(C)=k1_yellow20(u2_altcat_1(A), u2_altcat_1(B))) ) ) ) ) ) ) ) ) ) ).
fof(d4_struct_0, axiom,  (! [A] :  (l1_struct_0(A) => k3_struct_0(A)=k6_partfun1(u1_struct_0(A))) ) ).
fof(d4_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k3_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) & r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(d4_yellow21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) & l2_altcat_1(A)) ) ) )  =>  (v2_yellow21(A) <=>  (v9_altcat_1(A) &  (v3_yellow18(A) &  ( (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) ) ) )  &  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  ( (v3_orders_2(D) &  (v4_orders_2(D) &  (v5_orders_2(D) &  (v1_lattice3(D) &  (v2_lattice3(D) & l1_orders_2(D)) ) ) ) )  =>  (! [E] :  ( (v3_orders_2(E) &  (v4_orders_2(E) &  (v5_orders_2(E) &  (v1_lattice3(E) &  (v2_lattice3(E) & l1_orders_2(E)) ) ) ) )  =>  ( (D=B & E=C)  => r1_tarski(k1_altcat_1(A, B, C), k1_orders_3(D, E))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d6_yellow21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v2_yellow21(A) & l2_altcat_1(A)) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k3_yellow21(A, B)=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_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(dt_k1_altcat_1, axiom, $true).
fof(dt_k1_binop_1, axiom, $true).
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(dt_k1_funct_1, axiom, $true).
fof(dt_k1_orders_3, axiom, $true).
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(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_yellow20, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_yellow20(A, B)) & v1_funct_1(k1_yellow20(A, B))) ) ) ).
fof(dt_k1_yellow21, axiom,  (! [A] : l1_struct_0(k1_yellow21(A))) ).
fof(dt_k1_zfmisc_1, axiom, $true).
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_k2_yellow20, axiom,  (! [A, B] :  ( (l2_altcat_1(A) & l2_altcat_1(B))  =>  (v6_altcat_1(k2_yellow20(A, B)) & l2_altcat_1(k2_yellow20(A, B))) ) ) ).
fof(dt_k2_zfmisc_1, axiom, $true).
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_k3_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & m1_subset_1(k3_struct_0(A), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(A), u1_struct_0(A))))) ) ) ) ).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k3_yellow21, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v2_yellow21(A) & l2_altcat_1(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v3_orders_2(k3_yellow21(A, B)) &  (v4_orders_2(k3_yellow21(A, B)) &  (v5_orders_2(k3_yellow21(A, B)) &  (v1_lattice3(k3_yellow21(A, B)) &  (v2_lattice3(k3_yellow21(A, B)) & l1_orders_2(k3_yellow21(A, B))) ) ) ) ) ) ) ).
fof(dt_k3_zfmisc_1, axiom, $true).
fof(dt_k4_relat_1, axiom,  (! [A] : v1_relat_1(k4_relat_1(A))) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_waybel34, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k4_waybel34(A)))  &  (v2_altcat_1(k4_waybel34(A)) &  (v6_altcat_1(k4_waybel34(A)) &  (v11_altcat_1(k4_waybel34(A)) &  (v12_altcat_1(k4_waybel34(A)) &  (v2_yellow21(k4_waybel34(A)) & l2_altcat_1(k4_waybel34(A))) ) ) ) ) ) ) ) ).
fof(dt_k4_yellow21, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v3_yellow21(A) & l2_altcat_1(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  =>  (v3_orders_2(k4_yellow21(A, B)) &  (v4_orders_2(k4_yellow21(A, B)) &  (v5_orders_2(k4_yellow21(A, B)) &  (v1_lattice3(k4_yellow21(A, B)) &  (v2_lattice3(k4_yellow21(A, B)) &  (v3_lattice3(k4_yellow21(A, B)) & l1_orders_2(k4_yellow21(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k5_ordinal1, axiom, $true).
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(dt_k6_yellow21, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k6_yellow21(A)))  &  (v2_altcat_1(k6_yellow21(A)) &  (v6_altcat_1(k6_yellow21(A)) &  (v11_altcat_1(k6_yellow21(A)) &  (v12_altcat_1(k6_yellow21(A)) &  (v2_yellow21(k6_yellow21(A)) & l2_altcat_1(k6_yellow21(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_k8_waybel34, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v2_struct_0(k8_waybel34(A)))  &  (v2_altcat_1(k8_waybel34(A)) &  (v6_altcat_1(k8_waybel34(A)) &  (v3_altcat_2(k8_waybel34(A), k4_waybel34(A)) & m1_altcat_2(k8_waybel34(A), k4_waybel34(A))) ) ) ) ) ) ).
fof(dt_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => m1_subset_1(k9_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_l1_altcat_1, axiom,  (! [A] :  (l1_altcat_1(A) => l1_struct_0(A)) ) ).
fof(dt_l1_orders_2, axiom,  (! [A] :  (l1_orders_2(A) => l1_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_altcat_1, axiom,  (! [A] :  (l2_altcat_1(A) => l1_altcat_1(A)) ) ).
fof(dt_m1_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  (! [B] :  (m1_altcat_2(B, A) => l2_altcat_1(B)) ) ) ) ).
fof(dt_m1_subset_1, axiom, $true).
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(dt_o_1_0_waybel34, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v2_wellord1(o_1_0_waybel34(A)) &  (v1_partfun1(o_1_0_waybel34(A), A) &  (v1_relat_2(o_1_0_waybel34(A)) &  (v4_relat_2(o_1_0_waybel34(A)) &  (v8_relat_2(o_1_0_waybel34(A)) &  (v5_yellow21(o_1_0_waybel34(A)) & m1_subset_1(o_1_0_waybel34(A), k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) ) ) ).
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_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(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(existence_l1_altcat_1, axiom,  (? [A] : l1_altcat_1(A)) ).
fof(existence_l1_orders_2, axiom,  (? [A] : l1_orders_2(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_altcat_1, axiom,  (? [A] : l2_altcat_1(A)) ).
fof(existence_m1_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  (? [B] : m1_altcat_2(B, A)) ) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, 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(fc10_finset_1, axiom,  (! [A, B] :  (v1_finset_1(B) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(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_waybel_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v24_waybel_0(A) & l1_orders_2(A)) ) )  =>  (v1_orders_2(g1_orders_2(u1_struct_0(A), u1_orders_2(A))) & v24_waybel_0(g1_orders_2(u1_struct_0(A), u1_orders_2(A)))) ) ) ).
fof(fc11_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k3_xboole_0(A, B))) ) ).
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(fc11_subset_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  =>  ~ (v1_xboole_0(k3_zfmisc_1(A, B, C))) ) ) ).
fof(fc11_waybel_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) &  (v5_orders_2(A) &  (v2_waybel_8(A) & l1_orders_2(A)) ) ) )  =>  (v1_orders_2(g1_orders_2(u1_struct_0(A), u1_orders_2(A))) & v2_waybel_8(g1_orders_2(u1_struct_0(A), u1_orders_2(A)))) ) ) ).
fof(fc12_waybel_8, axiom,  (! [A] :  ( (v3_orders_2(A) &  (v4_orders_2(A) &  (v5_orders_2(A) &  (v1_lattice3(A) &  (v2_lattice3(A) &  (v3_waybel_8(A) & l1_orders_2(A)) ) ) ) ) )  =>  (v1_orders_2(g1_orders_2(u1_struct_0(A), u1_orders_2(A))) & v3_waybel_8(g1_orders_2(u1_struct_0(A), 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(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(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc19_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(A))) ) ).
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(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(fc1_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k3_xboole_0(A, B))) ) ).
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_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc24_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
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(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(fc2_orders_2, axiom,  (! [A] :  ( (v2_orders_2(A) & l1_orders_2(A))  => v1_partfun1(u1_orders_2(A), u1_struct_0(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(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc2_waybel_1, axiom,  (! [A] :  (l1_orders_2(A) =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v23_waybel_0(k3_struct_0(A), A, A)) ) ) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_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(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(fc3_orders_2, axiom,  (! [A] :  ( (v3_orders_2(A) & l1_orders_2(A))  => v1_relat_2(u1_orders_2(A))) ) ).
fof(fc3_waybel10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) &  (v17_waybel_0(k3_struct_0(A), A, A) & v18_waybel_0(k3_struct_0(A), A, A)) ) ) ) ) ).
fof(fc3_waybel_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v6_waybel_1(k3_struct_0(A), 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(fc4_waybel_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v7_waybel_1(k3_struct_0(A), A)) ) ) ) ).
fof(fc4_waybel_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  =>  ( ~ (v2_struct_0(g1_orders_2(u1_struct_0(A), u1_orders_2(A))))  & v1_orders_2(g1_orders_2(u1_struct_0(A), u1_orders_2(A)))) ) ) ).
fof(fc5_orders_2, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  => v8_relat_2(u1_orders_2(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(fc5_waybel34, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  ( ~ (v2_struct_0(k4_waybel34(A)))  &  (v2_altcat_1(k4_waybel34(A)) &  (v6_altcat_1(k4_waybel34(A)) &  (v11_altcat_1(k4_waybel34(A)) &  (v12_altcat_1(k4_waybel34(A)) &  (v2_yellow21(k4_waybel34(A)) & v3_yellow21(k4_waybel34(A))) ) ) ) ) ) ) ) ).
fof(fc5_waybel_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (v1_funct_1(k3_struct_0(A)) &  (v1_funct_2(k3_struct_0(A), u1_struct_0(A), u1_struct_0(A)) & v8_waybel_1(k3_struct_0(A), A)) ) ) ) ).
fof(fc5_waybel_8, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_orders_2(A) & l1_orders_2(A)) )  =>  (v1_orders_2(g1_orders_2(u1_struct_0(A), u1_orders_2(A))) & v3_orders_2(g1_orders_2(u1_struct_0(A), 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(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc6_waybel_8, axiom,  (! [A] :  ( (v4_orders_2(A) & l1_orders_2(A))  =>  (v1_orders_2(g1_orders_2(u1_struct_0(A), u1_orders_2(A))) & v4_orders_2(g1_orders_2(u1_struct_0(A), u1_orders_2(A)))) ) ) ).
fof(fc6_yellow21, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v2_wellord1(B) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) &  (v5_yellow21(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) ) ) ) )  =>  (v1_orders_2(g1_orders_2(A, B)) &  (v2_waybel_8(g1_orders_2(A, B)) &  (v3_lattice3(g1_orders_2(A, B)) &  (v16_waybel_0(g1_orders_2(A, B)) & v3_waybel_3(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(fc7_relset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k4_relat_1(A)))  & v1_relat_1(k4_relat_1(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_8, axiom,  (! [A] :  ( (v5_orders_2(A) & l1_orders_2(A))  =>  (v1_orders_2(g1_orders_2(u1_struct_0(A), u1_orders_2(A))) & v5_orders_2(g1_orders_2(u1_struct_0(A), u1_orders_2(A)))) ) ) ).
fof(fc7_yellow21, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  ( ~ (v2_struct_0(k6_yellow21(A)))  &  (v2_altcat_1(k6_yellow21(A)) &  (v6_altcat_1(k6_yellow21(A)) &  (v11_altcat_1(k6_yellow21(A)) &  (v12_altcat_1(k6_yellow21(A)) &  (v2_yellow21(k6_yellow21(A)) &  (v3_yellow21(k6_yellow21(A)) & v4_yellow21(k6_yellow21(A))) ) ) ) ) ) ) ) ) ).
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(fc8_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k9_xtuple_0(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(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc8_waybel_8, axiom,  (! [A] :  ( (v2_lattice3(A) & l1_orders_2(A))  =>  (v1_orders_2(g1_orders_2(u1_struct_0(A), u1_orders_2(A))) & v2_lattice3(g1_orders_2(u1_struct_0(A), u1_orders_2(A)))) ) ) ).
fof(fc8_yellow21, axiom,  (! [A, B, C] :  ( ( ~ (v2_setfam_1(A))  &  (m1_subset_1(B, u1_struct_0(k6_yellow21(A))) & m1_subset_1(C, u1_struct_0(k6_yellow21(A)))) )  =>  ~ (v1_xboole_0(k1_altcat_1(k6_yellow21(A), B, C))) ) ) ).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
fof(fc9_waybel_8, axiom,  (! [A] :  ( (v1_lattice3(A) & l1_orders_2(A))  =>  (v1_orders_2(g1_orders_2(u1_struct_0(A), u1_orders_2(A))) & v1_lattice3(g1_orders_2(u1_struct_0(A), u1_orders_2(A)))) ) ) ).
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(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(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(idempotence_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, B)=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(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(rc12_waybel_0, 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) & v16_waybel_0(A)) ) ) ) ) ) ) ).
fof(rc13_waybel_0, 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(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
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(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(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(rc1_orders_2, axiom,  (? [A] :  (l1_orders_2(A) & v1_orders_2(A)) ) ).
fof(rc1_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_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_waybel10, axiom,  (! [A, B] :  ( (l1_orders_2(A) &  ( ~ (v2_struct_0(B))  &  (v3_orders_2(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_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) & v5_orders_3(C, A, B)) ) ) ) ) ) ) ) ) ) ).
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_waybel_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(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_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)) & v6_waybel_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_waybel_3, 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_lattice3(A) & v16_waybel_0(A)) ) ) ) ) ) ) ) ).
fof(rc1_waybel_8, axiom,  (? [A] :  (l1_orders_2(A) &  ( ~ (v2_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(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_yellow21, 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_2(A) & v3_yellow21(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(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_altcat_2, axiom,  (? [A] :  (l1_altcat_1(A) &  ( ~ (v2_struct_0(A))  & v1_altcat_2(A)) ) ) ).
fof(rc2_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(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(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(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(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_setfam_1, axiom,  (? [A] :  ~ (v2_setfam_1(A)) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_waybel10, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_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_funct_1(B) &  (v2_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)) &  (v17_waybel_0(B, A, A) &  (v18_waybel_0(B, A, A) &  (v7_waybel_1(B, A) & v8_waybel_1(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_waybel34, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v5_orders_2(B) &  (v2_yellow_0(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_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v17_waybel_0(C, A, B) & v22_waybel_0(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
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_waybel_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_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_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)) & v7_waybel_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_waybel_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_lattice3(A) &  (v2_lattice3(A) &  (v3_lattice3(A) & v3_waybel_3(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_yellow21, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v6_altcat_1(A) &  (v9_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v1_altcat_2(A) &  (v2_yellow18(A) &  (v3_yellow18(A) &  (v4_yellow18(A) &  (v1_yellow21(A) &  (v2_yellow21(A) & v4_yellow21(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_yellow_0, 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_lattice3(A)) ) ) ) ) ) ) ).
fof(rc2_yellow_9, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v5_orders_2(B) &  (v2_yellow_0(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_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)) & v17_waybel_0(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_altcat_2, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  & v1_altcat_2(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_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(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(rc3_setfam_1, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(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(rc3_waybel34, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(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_xboole_0(C))  &  (v1_partfun1(C, u1_struct_0(A)) &  (v1_funct_2(C, u1_struct_0(A), u1_struct_0(B)) &  (v18_waybel_0(C, A, B) & v21_waybel_0(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_waybel_1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v3_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_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)) & v8_waybel_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_yellow21, axiom,  (? [A] :  (v1_relat_1(A) & v2_wellord1(A)) ) ).
fof(rc3_yellow_9, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  & l1_orders_2(A))  &  ( ~ (v2_struct_0(B))  &  (v3_orders_2(B) &  (v5_orders_2(B) &  (v1_yellow_0(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_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)) & v18_waybel_0(C, A, B)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_altcat_2, axiom,  (? [A] :  (l2_altcat_1(A) &  (v2_struct_0(A) & v6_altcat_1(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_orders_2, axiom,  (? [A] :  (l1_orders_2(A) &  (v2_struct_0(A) & v1_orders_2(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_waybel_1, 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_lattice3(A) &  (v2_lattice3(A) & v11_waybel_1(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_yellow21, 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) &  (v2_wellord1(B) &  (v1_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, A) & v5_yellow21(B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_altcat_2, axiom,  (! [A] :  (l2_altcat_1(A) =>  (? [B] :  (m1_altcat_2(B, A) & v6_altcat_1(B)) ) ) ) ).
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_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(rc5_waybel_1, 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_lattice3(A) &  (v2_lattice3(A) & v9_waybel_1(A)) ) ) ) ) ) ) ) ) ).
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(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(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_functor0, axiom,  (? [A] :  (l2_altcat_1(A) &  ( ~ (v2_struct_0(A))  & v1_altcat_2(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(rd1_relat_1, axiom,  (! [A] : k9_xtuple_0(k4_relat_1(A))=A) ).
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(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(redefinition_k3_yellow21, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v2_yellow21(A) & l2_altcat_1(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k3_yellow21(A, B)=k1_yellow21(B)) ) ).
fof(redefinition_k4_yellow21, axiom,  (! [A, B] :  ( ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v3_yellow21(A) & l2_altcat_1(A)) ) ) ) )  & m1_subset_1(B, u1_struct_0(A)))  => k4_yellow21(A, B)=k1_yellow21(B)) ) ).
fof(redefinition_k6_partfun1, axiom,  (! [A] : k6_partfun1(A)=k4_relat_1(A)) ).
fof(redefinition_k9_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => k9_subset_1(A, B, C)=k3_xboole_0(B, C)) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(s19_yellow18__e10_74__waybel34, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v9_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) &  (v2_yellow18(B) & l2_altcat_1(B)) ) ) ) ) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_altcat_1(C) &  (v9_altcat_1(C) &  (v11_altcat_1(C) &  (v12_altcat_1(C) &  (v2_yellow18(C) & l2_altcat_1(C)) ) ) ) ) )  =>  ( (u1_struct_0(B)=u1_struct_0(k8_waybel34(A)) &  ( (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(B)) => k1_altcat_1(B, D, E)=k1_binop_1(u1_altcat_1(k8_waybel34(A)), D, E)) ) ) )  &  (u1_struct_0(C)=u1_struct_0(k8_waybel34(A)) &  (! [D] :  (m1_subset_1(D, u1_struct_0(C)) =>  (! [E] :  (m1_subset_1(E, u1_struct_0(C)) => k1_altcat_1(C, D, E)=k1_binop_1(u1_altcat_1(k8_waybel34(A)), D, E)) ) ) ) ) ) )  => 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(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(symmetry_r1_yellow20, axiom,  (! [A, B] :  ( (l2_altcat_1(A) & l2_altcat_1(B))  =>  (r1_yellow20(A, B) => r1_yellow20(B, A)) ) ) ).
fof(t100_zfmisc_1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] : k2_zfmisc_1(k3_xboole_0(A, B), k3_xboole_0(C, D))=k3_xboole_0(k2_zfmisc_1(A, C), k2_zfmisc_1(B, D))) ) ) ) ).
fof(t12_yellow20, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v9_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v2_yellow18(A) & l2_altcat_1(A)) ) ) ) ) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_altcat_1(B) &  (v9_altcat_1(B) &  (v11_altcat_1(B) &  (v12_altcat_1(B) &  (v2_yellow18(B) & l2_altcat_1(B)) ) ) ) ) )  => r1_yellow20(A, B)) ) ) ) ).
fof(t13_waybel34, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) )  =>  (m1_subset_1(B, u1_struct_0(k4_waybel34(A))) <=>  (v1_orders_2(B) &  (v3_lattice3(B) & r2_tarski(u1_struct_0(B), A)) ) ) ) ) ) ) ).
fof(t14_waybel34, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k4_waybel34(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k4_waybel34(A))) =>  (! [D] :  (r2_tarski(D, k1_altcat_1(k4_waybel34(A), B, C)) <=>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_yellow21(k4_waybel34(A), B)), u1_struct_0(k4_yellow21(k4_waybel34(A), C))) &  (v17_waybel_0(D, k4_yellow21(k4_waybel34(A), B), k4_yellow21(k4_waybel34(A), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_yellow21(k4_waybel34(A), B)), u1_struct_0(k4_yellow21(k4_waybel34(A), C)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t14_yellow21, axiom,  (! [A] :  ( ~ (v2_setfam_1(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_tarski(u1_struct_0(B), A) =>  (m1_subset_1(B, u1_struct_0(k6_yellow21(A))) <=>  (v1_orders_2(B) & v3_lattice3(B)) ) ) ) ) ) ) ).
fof(t15_yellow21, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k6_yellow21(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k6_yellow21(A))) =>  (! [D] :  (r2_tarski(D, k1_altcat_1(k6_yellow21(A), B, C)) <=>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_yellow21(k6_yellow21(A), B)), u1_struct_0(k4_yellow21(k6_yellow21(A), C))) &  (v22_waybel_0(D, k4_yellow21(k6_yellow21(A), B), k4_yellow21(k6_yellow21(A), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_yellow21(k6_yellow21(A), B)), u1_struct_0(k4_yellow21(k6_yellow21(A), C)))))) ) ) ) ) ) ) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t25_yellow20, 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)) ) ) )  =>  ( (r1_yellow20(A, B) &  (! [C] :  (m1_subset_1(C, u1_struct_0(A)) =>  (! [D] :  (m1_subset_1(D, u1_struct_0(B)) =>  (C=D => k8_altcat_1(A, C)=k8_altcat_1(B, D)) ) ) ) ) )  =>  (v2_struct_0(k2_yellow20(A, B)) |  (v2_altcat_1(k2_yellow20(A, B)) &  (v3_altcat_2(k2_yellow20(A, B), A) & m1_altcat_2(k2_yellow20(A, B), A)) ) ) ) ) ) ) ) ).
fof(t2_boole, axiom,  (! [A] : k3_xboole_0(A, k1_xboole_0)=k1_xboole_0) ).
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(t2_yellow21, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v2_altcat_1(A) &  (v11_altcat_1(A) &  (v12_altcat_1(A) &  (v3_yellow18(A) &  (v1_yellow21(A) & l2_altcat_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(A)) => k8_altcat_1(A, B)=k3_struct_0(k1_yellow21(B))) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t43_waybel34, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (! [B] :  ( (v3_orders_2(B) &  (v4_orders_2(B) &  (v5_orders_2(B) &  (v1_lattice3(B) &  (v2_lattice3(B) & l1_orders_2(B)) ) ) ) )  =>  (m1_subset_1(B, u1_struct_0(k8_waybel34(A))) <=>  (v1_orders_2(B) &  (v3_lattice3(B) & r2_tarski(u1_struct_0(B), A)) ) ) ) ) ) ) ).
fof(t44_waybel34, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, u1_struct_0(k8_waybel34(A))) =>  (! [C] :  (m1_subset_1(C, u1_struct_0(k8_waybel34(A))) =>  (! [D] :  (r2_tarski(D, k1_altcat_1(k8_waybel34(A), B, C)) <=>  (v1_funct_1(D) &  (v1_funct_2(D, u1_struct_0(k4_yellow21(k8_waybel34(A), B)), u1_struct_0(k4_yellow21(k8_waybel34(A), C))) &  (v17_waybel_0(D, k4_yellow21(k8_waybel34(A), B), k4_yellow21(k8_waybel34(A), C)) &  (v22_waybel_0(D, k4_yellow21(k8_waybel34(A), B), k4_yellow21(k8_waybel34(A), C)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(k4_yellow21(k8_waybel34(A), B)), u1_struct_0(k4_yellow21(k8_waybel34(A), C)))))) ) ) ) ) ) ) ) ) ) ) ) ).
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(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(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)) ) ) ) ) ).
