% Mizar problem: l139_fomodel4,fomodel4,3431,5 
fof(l139_fomodel4, conjecture,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k27_fomodel4(A), 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_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_fomodel0, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k2_xcmplx_0(A, k5_numbers)) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) ) ) ) ).
fof(cc10_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v4_fomodel1(B, A) =>  ~ (v6_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc10_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v3_fomodel2(C, A, B) => v4_fomodel2(C, A)) ) ) ) ) ).
fof(cc10_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [E] :  (v9_fomodel4(E, A, B, k3_xboole_0(C, D)) => v9_fomodel4(E, A, B, C)) ) ) ) ).
fof(cc10_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) => v4_funct_1(C)) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc11_fomodel0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v4_finseq_1(A))  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_pre_poly(B)) ) ) ) ) ) ).
fof(cc11_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  ( (v5_fomodel1(B, A) & v8_fomodel1(B, A))  =>  (v5_fomodel1(B, A) & v6_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc11_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) & m1_subset_1(D, k1_zfmisc_1(C))) )  =>  (! [E] :  (v9_fomodel4(E, A, B, D) => v9_fomodel4(E, A, B, C)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_fomodel0, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k9_funct_2(A, k3_finseq_2(B))) => v1_pre_poly(C)) ) ) ).
fof(cc12_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v12_fomodel1(B, A) => v3_fomodel0(B, k15_fomodel1(A))) ) ) ) ).
fof(cc12_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v5_fomodel2(B, A) =>  ~ (v15_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc12_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v1_fomodel4(B, A) => v12_fomodel4(B, A)) ) ) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_fomodel0, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_card_1(B, k2_xcmplx_0(A, 1)) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) ) ) ) ).
fof(cc13_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v3_fomodel0(B, k15_fomodel1(A)) => v12_fomodel1(B, A)) ) ) ) ).
fof(cc13_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k30_fomodel2(A)) => v4_fomodel2(B, A)) ) ) ) ).
fof(cc13_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v1_fomodel4(B, A) => v12_fomodel4(B, A)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_fomodel0, axiom,  (! [A] :  (v4_finseq_1(A) => v5_finset_1(A)) ) ).
fof(cc14_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc14_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel4(A)) => v12_fomodel4(B, A)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_card_3, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc15_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k3_fomodel0(k3_finseq_2(A), k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)))) =>  ( ~ (v1_xboole_0(B))  =>  ~ (v3_relat_1(B)) ) ) ) ) ) ).
fof(cc15_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  ( ( ~ (v6_struct_0(A))  & v11_fomodel1(A))  =>  ( ~ (v6_struct_0(A))  &  ( ~ (v8_struct_0(A))  & v11_fomodel1(A)) ) ) ) ) ).
fof(cc15_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) & v7_ordinal1(C)) )  =>  (! [E] :  (v5_fomodel4(E, C, A, B, D) => v1_fomodel4(E, A)) ) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc16_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc16_fomodel1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) =>  (v14_fomodel1(C, A, B) => v13_fomodel1(C, B)) ) ) ) ) ).
fof(cc16_fomodel2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) =>  ( ~ (v3_fomodel2(C, B, A))  =>  ~ (v3_fomodel2(C, B, A)) ) ) ) ) ) ).
fof(cc16_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [D] :  (v4_fomodel4(D, A, B, C) => v2_fomodel4(D, A)) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_fomodel0, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  ~ (v1_xboole_0(B)) ) )  =>  (v1_relat_1(B) &  ( ~ (v3_relat_1(B))  & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc17_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k15_fomodel2(A, B)) => v4_relat_1(C, k37_fomodel1(A))) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_fomodel0, axiom,  (! [A] :  (v1_setfam_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_setfam_1(B)) ) ) ) ).
fof(cc18_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k29_fomodel1(A)) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc18_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k15_fomodel2(A, B)) =>  (v4_relat_1(C, k37_fomodel1(A)) =>  (v4_relat_1(C, k37_fomodel1(A)) & v1_partfun1(C, k37_fomodel1(A))) ) ) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) & v2_xxreal_0(A))  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(cc19_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v14_fomodel1(B, k5_numbers, A) => v3_card_1(B, 1)) ) ) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_card_3, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ) ).
fof(cc1_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_finseq_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v7_ordinal1(B))  =>  (! [C] :  (m1_subset_1(C, k4_finseq_2(B, A)) => v3_card_1(C, B)) ) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_1(A)) ) ).
fof(cc1_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v9_fomodel1(B, A) => v10_fomodel1(B, A)) ) ) ) ) ).
fof(cc1_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v8_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (! [D] :  (m1_fomodel2(D, A, B, C) => v5_relat_1(D, B)) ) ) ) ).
fof(cc1_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_fomodel4(A))) => v2_fomodel4(B, A)) ) ) ) ).
fof(cc1_funcop_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) ) ) ) ) ).
fof(cc1_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_funct_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_funct_7, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc1_int_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) => v1_int_1(A)) ) ).
fof(cc1_margrel1, axiom,  (! [A] :  (v1_xboole_0(A) => v2_card_3(A)) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_partfun1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_partfun1(C, A)) ) ) ) ).
fof(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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(B)) ) ) ) ).
fof(cc1_zfmisc_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_zfmisc_1(A)) ) ).
fof(cc20_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_relat_2(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_partit_2(A)) ) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc21_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v1_xboole_0(A)) )  =>  (! [B] :  (m1_subset_1(B, A) => v1_xtuple_0(B)) ) ) ) ).
fof(cc21_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k35_fomodel1(A)) => v13_fomodel1(B, A)) ) ) ) ).
fof(cc22_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v4_fomodel0(A)) ) ) ) ).
fof(cc22_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  ( ( ~ (v7_fomodel1(B, A))  & v10_fomodel1(B, A))  =>  (v8_fomodel1(B, A) & v10_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc23_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_fomodel0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc23_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  ( ( ~ (v4_fomodel1(B, A))  & v8_fomodel1(B, A))  =>  (v6_fomodel1(B, A) & v8_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc24_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_fomodel0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_fomodel0(B)) ) ) ) ).
fof(cc25_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(cc26_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v5_fomodel0(A)) ) ).
fof(cc26_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  ( ( ~ (v5_fomodel1(B, A))  & v9_fomodel1(B, A))  =>  (v4_fomodel1(B, A) & v9_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc27_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) ) ) ) ).
fof(cc27_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v13_fomodel1(B, A) => v5_relat_1(B, k5_fomodel1(A))) ) ) ) ) ).
fof(cc27_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k15_fomodel2(B, A)) & v10_fomodel2(D, A, B, C)) ) )  =>  (! [E] :  (m1_subset_1(E, k1_zfmisc_1(D)) => v10_fomodel2(E, A, B, C)) ) ) ) ).
fof(cc28_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_fomodel0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(cc28_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v15_fomodel1(B, A) => v5_relat_1(B, k17_fomodel1(A))) ) ) ) ) ).
fof(cc29_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_card_3, axiom,  (! [A, B] :  (v1_setfam_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v2_relat_1(C) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc2_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(cc2_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) => v4_funct_1(B)) ) ) ).
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_fomodel0, axiom,  (! [A] :  (v2_setfam_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_setfam_1(B)) ) ) ) ).
fof(cc2_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v7_fomodel1(B, A) => v5_fomodel1(B, A)) ) ) ) ) ).
fof(cc2_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v4_fomodel1(B, A) => v9_fomodel1(B, A)) ) ) ) ) ).
fof(cc2_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k37_fomodel1(A)) => v9_fomodel1(B, A)) ) ) ) ).
fof(cc2_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel4(A)) => v1_fomodel4(B, A)) ) ) ) ).
fof(cc2_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funcop_1(A)) ) ) ) ).
fof(cc2_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(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_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_funct_7(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_margrel1, axiom,  (! [A] :  (m1_subset_1(A, k5_margrel1) => v1_xboolean(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_partfun1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ~ (v1_partfun1(C, A)) ) ) ) ) ).
fof(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_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_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc2_zfmisc_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc30_fomodel0, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  =>  (v1_relat_1(B) &  (v1_funct_1(B) & v3_funct_1(B)) ) ) ) ) ) ).
fof(cc31_fomodel0, axiom,  (! [A] :  (v5_fomodel0(A) => v1_funct_1(A)) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_finseq_2, axiom,  (! [A] :  (! [B] :  (m1_finseq_2(B, A) => v4_finseq_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_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k4_finseq_2(1, A))) => v3_fomodel0(B, A)) ) ) ) ).
fof(cc3_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v6_fomodel1(B, A) => v8_fomodel1(B, A)) ) ) ) ) ).
fof(cc3_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  =>  (v1_relat_1(C) &  (v1_funct_1(C) & v1_funcop_1(C)) ) ) ) ) ) ).
fof(cc3_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k37_fomodel1(A)) => v10_fomodel1(B, A)) ) ) ) ).
fof(cc3_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (v3_fomodel4(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc3_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_funct_1(B)) ) ) ) ).
fof(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_funct_7, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_funct_7(A)) ) ) ) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_margrel1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k5_margrel1))) =>  ( (v1_funct_1(B) & v1_funct_2(B, A, k5_margrel1))  =>  (v1_funct_1(B) &  (v1_funct_2(B, A, k5_margrel1) & v1_margrel1(B)) ) ) ) ) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_partfun1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v3_relat_2(A) & v8_relat_2(A)) )  =>  (v1_relat_1(A) & v1_relat_2(A)) ) ) ).
fof(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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_card_3, axiom,  (! [A] :  (v5_card_3(A) =>  ( ~ (v1_finset_1(A))  & v4_card_3(A)) ) ) ).
fof(cc4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  (! [C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(C) & v5_relat_1(C, A)) ) ) ) ) ).
fof(cc4_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v4_fomodel1(B, A) => v8_fomodel1(B, A)) ) ) ) ) ).
fof(cc4_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v9_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (! [D] :  (m1_fomodel2(D, A, B, C) =>  ~ (v1_xboole_0(D)) ) ) ) ) ).
fof(cc4_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v3_fomodel4(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v3_fomodel4(C, A)) ) ) ) ).
fof(cc4_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k9_funct_2(A, C)))) =>  ( (v1_funct_1(D) & v1_funct_2(D, B, k9_funct_2(A, C)))  =>  (v1_funct_1(D) &  (v1_funct_2(D, B, k9_funct_2(A, C)) & v1_funcop_1(D)) ) ) ) ) ) ) ).
fof(cc4_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(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_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v2_int_1(A)) ) ).
fof(cc4_nat_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  =>  (v7_ordinal1(A) &  ~ (v2_xxreal_0(A)) ) ) ) ).
fof(cc4_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_ordinal1(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_subset_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ~ (v1_subset_1(B, A)) ) ) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_card_3, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v4_card_3(A))  => v5_card_3(A)) ) ).
fof(cc5_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v1_funct_2(C, A, B) => v1_partfun1(C, A)) ) ) ) ) ).
fof(cc5_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v8_fomodel1(B, A) => v9_fomodel1(B, A)) ) ) ) ) ).
fof(cc5_fomodel2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, k9_funct_2(A, C)))) =>  ( (v1_funct_1(D) & v1_funct_2(D, B, k9_funct_2(A, C)))  =>  (v1_funct_1(D) &  (v1_funct_2(D, B, k9_funct_2(A, C)) & v1_funcop_1(D)) ) ) ) ) ) ) ).
fof(cc5_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [C] :  (v8_fomodel4(C, A, B) => v4_fomodel4(C, A, B, k1_xboole_0)) ) ) ) ).
fof(cc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(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_int_1, axiom,  (! [A] :  (v2_int_1(A) => v1_int_1(A)) ) ).
fof(cc5_nat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v8_ordinal1(A)) ) ).
fof(cc5_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
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_subset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_zfmisc_1(B)) ) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_card_3, axiom,  (! [A] :  (v1_finset_1(A) => v4_card_3(A)) ) ).
fof(cc6_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_fomodel0, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k3_finseq_2(A)) => v5_relat_1(B, A)) ) ) ).
fof(cc6_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v6_fomodel1(B, A) => v5_fomodel1(B, A)) ) ) ) ) ).
fof(cc6_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (! [D] :  (v2_fomodel2(D, A, B, C) => v1_funct_1(D)) ) ) ) ).
fof(cc6_fomodel3, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k9_funct_2(k30_fomodel2(A), k30_fomodel2(A))) => v1_pre_poly(B)) ) ) ) ).
fof(cc6_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [C] :  (v4_fomodel4(C, A, B, k1_xboole_0) => v8_fomodel4(C, A, B)) ) ) ) ).
fof(cc6_funct_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(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_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_card_3, axiom,  (! [A] :  (v4_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_card_3(B)) ) ) ) ).
fof(cc7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0)))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
fof(cc7_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v5_fomodel1(B, A) => v10_fomodel1(B, A)) ) ) ) ) ).
fof(cc7_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (! [C] :  (m1_subset_1(C, k15_fomodel2(A, B)) => v1_fomodel2(C, A, B)) ) ) ) ).
fof(cc7_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) & v1_xboole_0(C)) )  =>  (! [D] :  (v4_fomodel4(D, A, B, C) => v8_fomodel4(D, A, B)) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
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_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
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_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_card_3, axiom,  (! [A] :  (v2_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_card_3(B)) ) ) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(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_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_tarski(k1_xboole_0))) ) ) ).
fof(cc8_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v8_fomodel1(B, A) =>  ~ (v7_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc8_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v3_fomodel2(B, A, k5_numbers) => v15_fomodel1(B, A)) ) ) ) ) ).
fof(cc8_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [E] :  (v9_fomodel4(E, A, B, k6_subset_1(C, D)) => v9_fomodel4(E, A, B, C)) ) ) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_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_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(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_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_fomodel0, axiom,  (! [A] :  ( (v1_int_1(A) &  ~ (v3_xxreal_0(A)) )  =>  (v7_ordinal1(A) & v1_int_1(A)) ) ) ).
fof(cc9_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_fomodel1(A)) =>  (v4_fomodel1(B, A) =>  ~ (v7_fomodel1(B, A)) ) ) ) ) ) ).
fof(cc9_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) =>  (v15_fomodel1(B, A) => v3_fomodel2(B, A, k5_numbers)) ) ) ) ) ).
fof(cc9_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  =>  (! [E] :  (v9_fomodel4(E, A, B, k6_subset_1(C, D)) => v9_fomodel4(E, A, B, k2_xboole_0(C, D))) ) ) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
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_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k12_fomodel0(B, A)) ).
fof(commutativity_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k1_nat_1(B, A)) ) ).
fof(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(B, A)) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(commutativity_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k3_xboole_0(B, A)) ).
fof(commutativity_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, C)=k4_subset_1(A, C, B)) ) ).
fof(commutativity_k4_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k4_xxreal_0(A, B)=k4_xxreal_0(B, A)) ) ).
fof(commutativity_k5_lang1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => k5_lang1(A, B, C, D)=k5_lang1(A, B, D, C)) ) ).
fof(commutativity_k5_xboole_0, axiom,  (! [A, B] : k5_xboole_0(A, B)=k5_xboole_0(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(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_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k10_fomodel1(A)=k6_subset_1(k1_fomodel1(A), k1_tarski(k8_fomodel1(A)))) ) ).
fof(d11_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k7_fomodel0(A)=k6_fomodel0(A, k2_fomodel0(A))) ) ).
fof(d11_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  => k10_fomodel2(A, B, C)=k1_funct_4(C, k17_funcop_1(k18_fomodel1(A), k2_fomodel2(B)))) ) ) ) ) ) ).
fof(d12_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k8_fomodel0(A)=k1_funct_4(k17_funcop_1(k1_xboole_0, k1_xboole_0), k6_fomodel0(k3_finseq_2(A), k11_monoid_0(A)))) ) ).
fof(d12_xtuple_0, axiom,  (! [A] :  (! [B] :  (B=k9_xtuple_0(A) <=>  (! [C] :  (r2_hidden(C, B) <=>  (? [D] : r2_hidden(k4_tarski(C, D), A)) ) ) ) ) ) ).
fof(d13_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  =>  (! [D] :  ( (v15_fomodel1(D, A) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => k12_fomodel2(A, B, C, D)=k1_funct_1(k11_fomodel2(A, B, C, k10_fomodel2(A, B, C), k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), D)), k3_relat_1(k34_fomodel1(A, D), k9_fomodel2(A, B, C)))) ) ) ) ) ) ) ) ).
fof(d14_fomodel0, axiom, k4_numbers=k2_xboole_0(k4_ordinal1, k6_subset_1(k2_zfmisc_1(k6_domain_1(k4_ordinal1, k5_numbers), k4_ordinal1), k6_domain_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1), k1_domain_1(k4_ordinal1, k4_ordinal1, k5_numbers, k5_numbers))))).
fof(d14_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( ~ (v1_xboole_0(B))  => k14_fomodel2(A, B)=a_2_0_fomodel2(A, B)) ) ) ) ).
fof(d15_fomodel0, axiom,  (! [A] :  (! [B] : k13_fomodel0(A, B)=B) ) ).
fof(d16_fomodel0, axiom,  (! [A] :  (! [B] : k14_fomodel0(A, B)=k6_subset_1(A, B)) ) ).
fof(d17_fomodel0, axiom,  (! [A] :  (! [B] : k15_fomodel0(A, B)=A) ) ).
fof(d1_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k1_fomodel1(A)=u1_struct_0(A)) ) ).
fof(d1_fomodel2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k2_fomodel2(A)=k10_fomodel0(k7_relset_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A), k11_monoid_0(A), k6_partfun1(k4_finseq_2(1, A))), k4_finseq_2(2, A))) ) ).
fof(d1_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k1_fomodel4(A)=a_1_0_fomodel4(A)) ) ).
fof(d24_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  ( (v10_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  => k19_fomodel1(A, B)=k1_funct_1(u1_fomodel1(A), B)) ) ) ) ).
fof(d24_fomodel4, axiom,  (! [A] :  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  (v12_fomodel4(C, B) =>  (r4_fomodel4(A, B, C) <=>  (? [D] :  ( (v13_fomodel1(D, B) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (? [E] :  ( (v13_fomodel1(E, B) & m2_subset_1(E, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  &  (? [F] :  ( (v13_fomodel1(F, B) & m2_subset_1(F, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  & C=k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), D), E), k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), E), F)), k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), D), F))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d26_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k21_fomodel1(A)=k9_fomodel0(k15_fomodel1(A))) ) ).
fof(d27_fomodel0, axiom,  (! [A] :  (! [B] :  (v1_relat_1(B) => k24_fomodel0(A, B)=k5_relat_1(B, A)) ) ) ).
fof(d27_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k22_fomodel1(A)=k7_fomodel0(k15_fomodel1(A))) ) ).
fof(d27_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k26_fomodel2(A)=a_1_0_fomodel2(A)) ) ).
fof(d28_fomodel0, axiom,  (! [A] :  (! [B] : k25_fomodel0(A, B)=k3_xboole_0(B, k2_zfmisc_1(A, k10_xtuple_0(B)))) ) ).
fof(d29_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k26_fomodel0(A, B)=k2_xboole_0(k6_subset_1(A, k2_zfmisc_1(k9_xtuple_0(B), k10_xtuple_0(A))), B)) ) ) ) ).
fof(d2_funcop_1, axiom,  (! [A] :  (! [B] : k2_funcop_1(A, B)=k2_zfmisc_1(A, k1_tarski(B))) ) ).
fof(d30_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k27_fomodel0(A, B)=k2_xboole_0(k5_relat_1(A, k6_subset_1(k9_xtuple_0(A), k9_xtuple_0(B))), B)) ) ) ) ).
fof(d31_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (v1_relat_1(B) => k28_fomodel0(A, B)=k2_xboole_0(k6_subset_1(k5_relat_1(A, k9_xtuple_0(A)), k5_relat_1(A, k9_xtuple_0(B))), B)) ) ) ) ).
fof(d31_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k27_fomodel1(A)=k3_tarski(k10_xtuple_0(k25_fomodel1(A)))) ) ).
fof(d32_fomodel0, axiom,  (! [A] :  (! [B] : k29_fomodel0(A, B)=k2_xboole_0(k1_tarski(A), k1_tarski(B))) ) ).
fof(d33_fomodel0, axiom,  (! [A] :  (! [B] : k30_fomodel0(A, B)=k10_xtuple_0(k25_fomodel0(B, A))) ) ).
fof(d33_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m2_subset_1(B, k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) => k35_fomodel2(A, B)=k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), B), B)) ) ) ) ).
fof(d37_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))) =>  (B=k13_fomodel4(A) <=>  (! [C] :  (m2_subset_1(C, k1_zfmisc_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) =>  (! [D] :  (m1_subset_1(D, k1_fomodel4(A)) =>  (r2_tarski(k1_domain_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A), C, D), B) <=> r4_fomodel4(C, A, D)) ) ) ) ) ) ) ) ) ) ).
fof(d3_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (r1_tarski(A, B) <=>  (! [C] :  (! [D] :  (r2_hidden(k4_tarski(C, D), A) => r2_hidden(k4_tarski(C, D), B)) ) ) ) ) ) ) ).
fof(d48_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k24_fomodel4(A)=k23_fomodel4(A, k10_fomodel4(A))) ) ).
fof(d49_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k25_fomodel4(A)=k23_fomodel4(A, k11_fomodel4(A))) ) ).
fof(d51_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k27_fomodel4(A)=k23_fomodel4(A, k13_fomodel4(A))) ) ).
fof(d57_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k33_fomodel4(A)=k23_fomodel4(A, k19_fomodel4(A))) ) ).
fof(d58_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k34_fomodel4(A)=k23_fomodel4(A, k20_fomodel4(A))) ) ).
fof(d59_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k35_fomodel4(A)=k23_fomodel4(A, k21_fomodel4(A))) ) ).
fof(d5_fomodel0, axiom,  (! [A] : k2_fomodel0(A)=k9_funct_3(A, A)) ).
fof(d5_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k5_fomodel1(A)=k8_relset_1(k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A))), k4_numbers, u1_fomodel1(A), k4_ordinal1)) ) ).
fof(d7_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k7_fomodel1(A)=u2_struct_0(A)) ) ).
fof(d8_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k8_fomodel1(A)=u3_struct_0(A)) ) ).
fof(d9_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => k9_fomodel1(A)=k6_subset_1(u1_struct_0(A), k2_tarski(u2_struct_0(A), u3_struct_0(A)))) ) ).
fof(d9_funcop_1, axiom,  (! [A] :  (! [B] : k17_funcop_1(A, B)=k7_funcop_1(k1_tarski(A), B)) ) ).
fof(dt_k10_fomodel0, axiom,  (! [A, B] :  (v1_funct_1(k10_fomodel0(A, B)) &  (v1_funct_2(k10_fomodel0(A, B), B, k5_margrel1) & m1_subset_1(k10_fomodel0(A, B), k1_zfmisc_1(k2_zfmisc_1(B, k5_margrel1)))) ) ) ).
fof(dt_k10_fomodel1, axiom, $true).
fof(dt_k10_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k10_fomodel2(A, B, C)) & v1_funct_1(k10_fomodel2(A, B, C))) ) ) ).
fof(dt_k10_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k10_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k11_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  ( (v1_relat_1(D) &  (v1_funct_1(D) & v2_fomodel2(D, A, B, C)) )  &  (v10_fomodel1(E, A) & m1_subset_1(E, k1_fomodel1(A))) ) ) ) )  => m2_fomodel2(k11_fomodel2(A, B, C, D, E), A, B, E)) ) ).
fof(dt_k11_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k11_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k11_monoid_0, axiom,  (! [A] :  (v1_funct_1(k11_monoid_0(A)) &  (v1_funct_2(k11_monoid_0(A), k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A)) & m1_subset_1(k11_monoid_0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A))))) ) ) ).
fof(dt_k12_fomodel0, axiom,  (! [A, B] : m1_subset_1(k12_fomodel0(A, B), k1_zfmisc_1(A))) ).
fof(dt_k12_fomodel2, axiom, $true).
fof(dt_k13_finseq_1, axiom, $true).
fof(dt_k13_fomodel0, axiom, $true).
fof(dt_k13_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => m1_subset_1(k13_fomodel2(A, B, C, D), k5_margrel1)) ) ).
fof(dt_k13_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k13_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k14_fomodel0, axiom,  (! [A, B] : m1_subset_1(k14_fomodel0(A, B), k1_zfmisc_1(A))) ).
fof(dt_k14_fomodel2, axiom, $true).
fof(dt_k15_fomodel0, axiom,  (! [A, B] : m1_subset_1(k15_fomodel0(A, B), k1_zfmisc_1(k2_xboole_0(A, B)))) ).
fof(dt_k15_fomodel1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fomodel1(A))  =>  ~ (v1_xboole_0(k15_fomodel1(A))) ) ) ).
fof(dt_k15_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  => m1_subset_1(k15_fomodel2(A, B), k1_zfmisc_1(k9_funct_2(k37_fomodel1(A), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1)))))) ) ).
fof(dt_k17_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l1_fomodel1(A))  =>  ( ~ (v1_xboole_0(k17_fomodel1(A)))  & m1_subset_1(k17_fomodel1(A), k1_zfmisc_1(k15_fomodel1(A)))) ) ) ).
fof(dt_k17_funcop_1, axiom, $true).
fof(dt_k18_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k18_fomodel1(A), k1_fomodel1(A))) ) ).
fof(dt_k19_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v10_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  => m1_subset_1(k19_fomodel1(A, B), k4_numbers)) ) ).
fof(dt_k19_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k19_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
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_finseq_1, axiom, $true).
fof(dt_k1_fomodel1, axiom, $true).
fof(dt_k1_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k1_fomodel2(A), k1_fomodel1(A))) ) ).
fof(dt_k1_fomodel4, axiom, $true).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ).
fof(dt_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k1_int_2(A), k4_ordinal1)) ) ).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(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_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xfamily, axiom, $true).
fof(dt_k1_xtuple_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k20_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k20_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k21_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_funct_1(k21_fomodel1(A)) &  (v1_funct_2(k21_fomodel1(A), k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_finseq_2(k15_fomodel1(A))) & m1_subset_1(k21_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_finseq_2(k15_fomodel1(A)))))) ) ) ) ).
fof(dt_k21_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k21_fomodel4(A), k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A))))) ) ).
fof(dt_k22_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_funct_1(k22_fomodel1(A)) &  (v1_funct_2(k22_fomodel1(A), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A)) & m1_subset_1(k22_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A))))) ) ) ) ).
fof(dt_k23_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(A)), k1_fomodel4(A)))))  => m2_funct_2(k23_fomodel4(A, B), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k24_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => m1_subset_1(k24_fomodel0(A, B), k1_zfmisc_1(B))) ) ).
fof(dt_k24_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k24_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k25_fomodel0, axiom, $true).
fof(dt_k25_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_relat_1(k25_fomodel1(A)) & v1_funct_1(k25_fomodel1(A))) ) ) ).
fof(dt_k25_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k15_fomodel2(A, B)) &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => m1_subset_1(k25_fomodel2(A, B, C, D), k5_margrel1)) ) ).
fof(dt_k25_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k25_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k26_fomodel0, axiom, $true).
fof(dt_k26_fomodel2, axiom, $true).
fof(dt_k27_fomodel0, axiom, $true).
fof(dt_k27_fomodel1, axiom, $true).
fof(dt_k27_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k27_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k28_fomodel0, axiom, $true).
fof(dt_k29_fomodel0, axiom, $true).
fof(dt_k29_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ( ~ (v1_xboole_0(k29_fomodel1(A)))  & m1_subset_1(k29_fomodel1(A), k1_zfmisc_1(k3_finseq_2(k15_fomodel1(A))))) ) ) ).
fof(dt_k29_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v7_ordinal1(k29_fomodel2(A, B))) ) ).
fof(dt_k2_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k2_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k2_fomodel0, axiom,  (! [A] :  (v1_funct_1(k2_fomodel0(A)) &  (v1_funct_2(k2_fomodel0(A), k2_zfmisc_1(A, A), A) & m1_subset_1(k2_fomodel0(A), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) ) ).
fof(dt_k2_fomodel2, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k2_fomodel2(A)) &  (v1_funct_2(k2_fomodel2(A), k4_finseq_2(2, A), k5_margrel1) & m1_subset_1(k2_fomodel2(A), k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(2, A), k5_margrel1)))) ) ) ) ).
fof(dt_k2_funcop_1, axiom, $true).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_xfamily, axiom, $true).
fof(dt_k2_xtuple_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k30_fomodel0, axiom, $true).
fof(dt_k30_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k30_fomodel2(A), k1_zfmisc_1(k6_subset_1(k3_finseq_2(k1_fomodel1(A)), k1_tarski(k1_xboole_0))))) ) ).
fof(dt_k31_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k31_fomodel2(A), k1_fomodel1(A))) ) ).
fof(dt_k33_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k33_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k34_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v15_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  (v3_card_1(k34_fomodel1(A, B), k1_int_2(k19_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B)))) & m2_subset_1(k34_fomodel1(A, B), k3_finseq_2(k3_finseq_2(k15_fomodel1(A))), k3_fomodel0(k3_finseq_2(k15_fomodel1(A)), k29_fomodel1(A)))) ) ) ).
fof(dt_k34_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k34_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k35_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_subset_1(k35_fomodel1(A), k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k9_setfam_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))) ) ).
fof(dt_k35_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  => m2_subset_1(k35_fomodel2(A, B), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(dt_k35_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m2_funct_2(k35_fomodel4(A), k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)), k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) ) ).
fof(dt_k37_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => m1_subset_1(k37_fomodel1(A), k1_zfmisc_1(k15_fomodel1(A)))) ) ).
fof(dt_k38_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v7_ordinal1(k38_fomodel1(A, B))) ) ).
fof(dt_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k3_finseq_1(A), k4_ordinal1)) ) ).
fof(dt_k3_finseq_2, axiom,  (! [A] : m1_finseq_2(k3_finseq_2(A), A)) ).
fof(dt_k3_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) =>  ( ~ (v1_xboole_0(k3_fomodel0(A, B)))  & m1_subset_1(k3_fomodel0(A, B), k1_zfmisc_1(k3_finseq_2(A)))) ) ) ).
fof(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_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_rfunct_3, axiom,  (! [A, B] : m1_rfunct_3(k3_rfunct_3(A, B), A, B)) ).
fof(dt_k3_tarski, axiom, $true).
fof(dt_k3_xboole_0, axiom, $true).
fof(dt_k42_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => m2_subset_1(k42_fomodel1(A, B, C), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(dt_k43_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_fomodel1(A)))  => m2_subset_1(k43_fomodel1(A, B), k3_finseq_2(k15_fomodel1(A)), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ).
fof(dt_k4_finseq_2, axiom,  (! [A, B] :  (v7_ordinal1(A) => m1_finseq_2(k4_finseq_2(A, B), B)) ) ).
fof(dt_k4_funct_3, axiom,  (! [A, B] :  (v1_relat_1(k4_funct_3(A, B)) & v1_funct_1(k4_funct_3(A, B))) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_partfun1, axiom, $true).
fof(dt_k4_relat_1, axiom,  (! [A] : v1_relat_1(k4_relat_1(A))) ).
fof(dt_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k4_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_xboole_0, axiom, $true).
fof(dt_k4_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v1_xxreal_0(k4_xxreal_0(A, B))) ) ).
fof(dt_k5_finseq_1, axiom, $true).
fof(dt_k5_fomodel1, axiom, $true).
fof(dt_k5_lang1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => m1_subset_1(k5_lang1(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ).
fof(dt_k5_margrel1, axiom, $true).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(A, B))) ) ).
fof(dt_k5_xboole_0, 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_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (v1_funct_1(k6_fomodel0(A, B)) &  (v1_funct_2(k6_fomodel0(A, B), k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)), A) & m1_subset_1(k6_fomodel0(A, B), k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)), A)))) ) ) ) ).
fof(dt_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_subset_1, axiom,  (! [A, B] : m1_subset_1(k6_subset_1(A, B), k1_zfmisc_1(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_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ).
fof(dt_k7_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k7_fomodel0(A)) &  (v1_funct_2(k7_fomodel0(A), k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)), A) & m1_subset_1(k7_fomodel0(A), k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(k3_finseq_2(A), k1_tarski(k1_xboole_0)), A)))) ) ) ) ).
fof(dt_k7_fomodel1, axiom, $true).
fof(dt_k7_funcop_1, axiom,  (! [A, B] :  (v1_funct_1(k7_funcop_1(A, B)) &  (v1_funct_2(k7_funcop_1(A, B), A, k1_tarski(B)) & m1_subset_1(k7_funcop_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) ) ) ).
fof(dt_k7_funct_3, axiom,  (! [A, B] :  (v1_relat_1(k7_funct_3(A, B)) & v1_funct_1(k7_funct_3(A, B))) ) ).
fof(dt_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_k7_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => m1_subset_1(k7_subset_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k8_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_relat_1(k8_fomodel0(A)) & v1_funct_1(k8_fomodel0(A))) ) ) ).
fof(dt_k8_fomodel1, axiom, $true).
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_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k9_complex1(A))) ) ).
fof(dt_k9_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k9_fomodel0(A)) &  (v1_funct_2(k9_fomodel0(A), k3_finseq_2(k3_finseq_2(A)), k3_finseq_2(A)) & m1_subset_1(k9_fomodel0(A), k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(k3_finseq_2(A)), k3_finseq_2(A))))) ) ) ) ).
fof(dt_k9_fomodel1, axiom, $true).
fof(dt_k9_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_funct_1(k9_fomodel2(A, B, C)) &  (v1_funct_2(k9_fomodel2(A, B, C), k35_fomodel1(A), B) & m1_subset_1(k9_fomodel2(A, B, C), k1_zfmisc_1(k2_zfmisc_1(k35_fomodel1(A), B)))) ) ) ) ).
fof(dt_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => m1_funct_2(k9_funct_2(A, B), A, B)) ) ).
fof(dt_k9_funct_3, axiom,  (! [A, B] :  (v1_funct_1(k9_funct_3(A, B)) &  (v1_funct_2(k9_funct_3(A, B), k2_zfmisc_1(A, B), A) & m1_subset_1(k9_funct_3(A, B), k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), A)))) ) ) ).
fof(dt_k9_setfam_1, axiom,  (! [A] : m1_subset_1(k9_setfam_1(A), k1_zfmisc_1(k1_zfmisc_1(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_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) => l4_struct_0(A)) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_l3_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_l4_struct_0, axiom,  (! [A] :  (l4_struct_0(A) =>  (l2_struct_0(A) & l3_struct_0(A)) ) ) ).
fof(dt_m1_finseq_2, axiom, $true).
fof(dt_m1_fomodel2, axiom, $true).
fof(dt_m1_funct_2, axiom,  (! [A, B] :  (! [C] :  (m1_funct_2(C, A, B) =>  ~ (v1_xboole_0(C)) ) ) ) ).
fof(dt_m1_rfunct_3, axiom, $true).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_m2_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (! [D] :  (m2_fomodel2(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k2_xboole_0(B, k5_margrel1)) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k4_finseq_2(k1_int_2(k19_fomodel1(A, C)), B), k2_xboole_0(B, k5_margrel1))))) ) ) ) ) ) ).
fof(dt_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) =>  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) ) ) ) ) ).
fof(dt_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) => m1_subset_1(C, A)) ) ) ) ).
fof(dt_u1_fomodel1, axiom,  (! [A] :  (l1_fomodel1(A) =>  (v1_funct_1(u1_fomodel1(A)) &  (v1_funct_2(u1_fomodel1(A), k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A))), k4_numbers) & m1_subset_1(u1_fomodel1(A), k1_zfmisc_1(k2_zfmisc_1(k6_subset_1(u1_struct_0(A), k1_tarski(u3_struct_0(A))), k4_numbers)))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(u2_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_u3_struct_0, axiom,  (! [A] :  (l3_struct_0(A) => m1_subset_1(u3_struct_0(A), u1_struct_0(A))) ) ).
fof(existence_l1_fomodel1, axiom,  (? [A] : l1_fomodel1(A)) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_struct_0, axiom,  (? [A] : l2_struct_0(A)) ).
fof(existence_l3_struct_0, axiom,  (? [A] : l3_struct_0(A)) ).
fof(existence_l4_struct_0, axiom,  (? [A] : l4_struct_0(A)) ).
fof(existence_m1_finseq_2, axiom,  (! [A] :  (? [B] : m1_finseq_2(B, A)) ) ).
fof(existence_m1_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (? [D] : m1_fomodel2(D, A, B, C)) ) ) ).
fof(existence_m1_funct_2, axiom,  (! [A, B] :  (? [C] : m1_funct_2(C, A, B)) ) ).
fof(existence_m1_rfunct_3, axiom,  (! [A, B] :  (? [C] : m1_rfunct_3(C, A, B)) ) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (? [D] : m2_fomodel2(D, A, B, C)) ) ) ).
fof(existence_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (? [D] : m2_funct_2(D, A, B, C)) ) ) ).
fof(existence_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (? [C] : m2_subset_1(C, A, B)) ) ) ).
fof(fc100_fomodel0, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k7_subset_1(A, C, B), k6_subset_1(A, B)))) ) ).
fof(fc101_fomodel0, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(B)))  => v1_xboole_0(k4_xboole_0(k6_subset_1(k2_xboole_0(C, D), B), A))) ) ).
fof(fc102_fomodel0, axiom,  (! [A, B, C] :  ( (v1_zfmisc_1(A) &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => v1_xboole_0(k5_xboole_0(B, C))) ) ).
fof(fc103_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k9_xtuple_0(B), k9_xtuple_0(A)))) ) ).
fof(fc104_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(k10_xtuple_0(B), k10_xtuple_0(A)))) ) ).
fof(fc105_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k4_xboole_0(k9_xtuple_0(k2_zfmisc_1(A, B)), A))) ).
fof(fc106_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k3_xboole_0(k9_xtuple_0(k2_zfmisc_1(A, B)), A), k9_xtuple_0(k2_zfmisc_1(A, B))))) ).
fof(fc107_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k4_xboole_0(k10_xtuple_0(k2_zfmisc_1(A, B)), B))) ).
fof(fc108_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k3_xboole_0(k10_xtuple_0(k2_zfmisc_1(A, B)), B), k10_xtuple_0(k2_zfmisc_1(A, B))))) ).
fof(fc109_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k10_xtuple_0(A), k10_xtuple_0(B)), k10_xtuple_0(k2_xboole_0(A, B))))) ).
fof(fc10_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ( ~ (v1_finset_1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc10_card_3, axiom, v5_card_3(k4_ordinal1)).
fof(fc10_finset_1, axiom,  (! [A, B] :  (v1_finset_1(B) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc10_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  => v3_fomodel0(k3_xboole_0(B, A), A)) ) ).
fof(fc10_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k27_fomodel1(A))) ) ) ).
fof(fc10_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k10_fomodel2(A, B, C)) &  (v1_funct_1(k10_fomodel2(A, B, C)) & v1_fomodel2(k10_fomodel2(A, B, C), A, B)) ) ) ) ).
fof(fc10_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v1_finset_1(B) & m1_subset_1(B, k1_zfmisc_1(k30_fomodel2(A))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v1_fomodel4(k4_tarski(B, C), A)) ) ).
fof(fc10_funcop_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_funcop_1(k3_relat_1(B, A))) ) ) ).
fof(fc10_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  => v1_setfam_1(k10_xtuple_0(A))) ) ).
fof(fc10_funct_2, axiom,  (! [A, B] : v4_funct_1(k1_funct_2(A, B))) ).
fof(fc10_nat_1, axiom,  (! [A, B] :  (v3_ordinal1(A) => v5_ordinal1(k2_funcop_1(A, B))) ) ).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc10_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc10_relset_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A)))) )  =>  ( ~ (v1_xboole_0(k5_relat_1(A, B)))  & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc10_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k2_zfmisc_1(A, B))) ) ) ).
fof(fc10_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc110_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)), k9_xtuple_0(k2_xboole_0(A, B))))) ).
fof(fc111_fomodel0, axiom,  (! [A, B, C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v1_xboole_0(k3_xboole_0(k6_subset_1(A, B), C))) ) ).
fof(fc112_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => v1_xboole_0(k5_xboole_0(k9_xtuple_0(k2_zfmisc_1(A, B)), A))) ) ).
fof(fc113_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => v1_xboole_0(k5_xboole_0(k10_xtuple_0(k2_zfmisc_1(B, A)), A))) ) ).
fof(fc114_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_xboole_0(k4_xboole_0(k7_relat_1(A, B), k10_xtuple_0(A)))) ) ).
fof(fc115_fomodel0, axiom,  (! [A, B, C, D] : v1_xboole_0(k4_xboole_0(k2_zfmisc_1(A, B), k2_zfmisc_1(k2_xboole_0(A, C), k2_xboole_0(B, D))))) ).
fof(fc116_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k5_xboole_0(k3_xboole_0(k3_xboole_0(A, B), C), k3_xboole_0(A, k3_xboole_0(B, C))))) ).
fof(fc117_fomodel0, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => v1_xboole_0(k4_xboole_0(k4_subset_1(A, B, C), A))) ) ).
fof(fc118_fomodel0, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) & v2_funct_2(k4_relat_1(A), A)) ) ).
fof(fc119_fomodel0, axiom,  (! [A, B] : v5_relat_1(k2_zfmisc_1(A, B), B)) ).
fof(fc11_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k3_xboole_0(A, B))) ) ).
fof(fc11_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  => v1_xboole_0(k1_funct_1(k9_fomodel0(A), B))) ) ).
fof(fc11_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k5_relat_1(C, k37_fomodel1(A))) &  (v5_relat_1(k5_relat_1(C, k37_fomodel1(A)), k3_rfunct_3(k3_finseq_2(B), k2_xboole_0(B, k5_margrel1))) & v1_funct_1(k5_relat_1(C, k37_fomodel1(A)))) ) ) ) ).
fof(fc11_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v1_fomodel4(k4_tarski(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B), C), A)) ) ).
fof(fc11_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => v2_relat_1(k2_funcop_1(A, B))) ) ).
fof(fc11_funct_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v1_xboole_0(k1_funct_1(A, B))) ) ) ).
fof(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_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc11_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc11_relset_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A)))) )  =>  ~ (v1_xboole_0(k7_relat_1(A, B))) ) ) ).
fof(fc11_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc120_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A)))) &  (v1_funct_1(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A)))) & v3_relat_2(k1_funct_4(k2_zfmisc_1(k1_tarski(A), k1_tarski(B)), k2_zfmisc_1(k1_tarski(B), k1_tarski(A))))) ) ) ).
fof(fc121_fomodel0, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) & m1_subset_1(C, k1_zfmisc_1(A)))  => v1_xboole_0(k4_xboole_0(k8_relat_1(B, C), k8_relat_1(B, A)))) ) ).
fof(fc122_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => v1_xboole_0(k5_xboole_0(k8_relat_1(B, k2_xboole_0(A, k10_xtuple_0(B))), k9_xtuple_0(B)))) ) ).
fof(fc123_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_partfun1(B, A)) )  => v1_xboole_0(k5_xboole_0(A, k1_relset_1(A, B)))) ) ).
fof(fc124_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(C), k9_funct_2(A, B)))) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc12_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k13_finseq_1(A))) ) ).
fof(fc12_finset_1, axiom,  (! [A, B] :  (v1_finset_1(A) => v1_finset_1(k4_xboole_0(A, B))) ) ).
fof(fc12_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v14_fomodel1(B, k5_numbers, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v4_fomodel1(k1_funct_1(k22_fomodel1(A), B), A)) ) ).
fof(fc12_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k5_relat_1(C, k37_fomodel1(A))) &  (v1_funct_1(k5_relat_1(C, k37_fomodel1(A))) & v1_fomodel2(k5_relat_1(C, k37_fomodel1(A)), A, B)) ) ) ) ).
fof(fc12_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v1_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B, C), D), A)) ) ).
fof(fc12_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k17_funcop_1(A, B)) & v1_funct_1(k17_funcop_1(A, B))) ) ).
fof(fc12_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc12_nat_1, axiom,  (! [A, B] :  ( ( ~ (v8_ordinal1(A))  &  ~ (v8_ordinal1(B)) )  => v1_setfam_1(k2_tarski(A, B))) ) ).
fof(fc12_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(B, A))) ) ) ).
fof(fc12_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(A, B)) & v1_relat_1(k3_relat_1(A, B))) ) ) ).
fof(fc12_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc132_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_relat_1(k4_relat_1(A)) & v2_abian(k4_relat_1(A))) ) ) ).
fof(fc133_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_abian(A)) )  =>  ~ (v1_xboole_0(k9_xtuple_0(A))) ) ) ).
fof(fc136_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_fomodel0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v5_fomodel0(k3_relat_1(A, B))) ) ) ).
fof(fc137_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_fomodel0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc138_fomodel0, axiom,  (! [A, B, C] :  (v1_zfmisc_1(C) =>  (v1_relat_1(k3_relat_1(k2_zfmisc_1(A, B), k2_zfmisc_1(B, C))) & v1_funct_1(k3_relat_1(k2_zfmisc_1(A, B), k2_zfmisc_1(B, C)))) ) ) ).
fof(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc13_card_3, axiom,  (! [A, B] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k2_funcop_1(A, B))) ) ) ).
fof(fc13_finseq_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_finseq_1(k5_relat_1(A, B))) ) ) ).
fof(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_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v8_fomodel1(k1_funct_1(k22_fomodel1(A), B), A)) ) ).
fof(fc13_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k5_relat_1(C, k37_fomodel1(A))) &  (v4_relat_1(k5_relat_1(C, k37_fomodel1(A)), k37_fomodel1(A)) & v1_partfun1(k5_relat_1(C, k37_fomodel1(A)), k37_fomodel1(A))) ) ) ) ).
fof(fc13_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k30_fomodel2(A)))) ) ) )  => v1_fomodel4(k4_tarski(k2_xboole_0(D, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B)), C), A)) ) ).
fof(fc13_funcop_1, axiom,  (! [A, B] : v2_funct_1(k17_funcop_1(A, B))) ).
fof(fc13_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ~ (v1_zfmisc_1(k10_xtuple_0(A))) ) ) ).
fof(fc13_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(B, A)) & v1_relat_1(k3_relat_1(B, A))) ) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc14_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k14_fomodel2(A, B))) ) ) ).
fof(fc14_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v3_fomodel4(k1_tarski(B), A)) ) ).
fof(fc14_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funcop_1(k5_relat_1(A, B))) ) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_finseq_1(k1_finseq_1(A))) ) ).
fof(fc15_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k3_fomodel0(k3_finseq_2(k15_fomodel1(A)), k29_fomodel1(A))))  => v1_relat_1(k1_funct_1(k21_fomodel1(A), B))) ) ).
fof(fc15_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v1_xboole_0(B))  => v3_fomodel4(k13_fomodel0(A, B), A)) ) ).
fof(fc15_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k2_funcop_1(A, B))) ) ).
fof(fc15_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v4_funct_1(k2_tarski(A, B))) ) ).
fof(fc15_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v2_relat_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_relat_1(k3_relat_1(A, B))) ) ) ).
fof(fc16_card_1, axiom,  (! [A] : v3_card_1(k1_tarski(A), 1)) ).
fof(fc16_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v3_finseq_1(k1_tarski(A))) ) ).
fof(fc16_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k3_fomodel0(k3_finseq_2(k15_fomodel1(A)), k29_fomodel1(A))))  =>  (v1_relat_1(k1_funct_1(k21_fomodel1(A), B)) & v1_funct_1(k1_funct_1(k21_fomodel1(A), B))) ) ) ).
fof(fc16_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k26_fomodel2(A))) ) ) ).
fof(fc16_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v3_fomodel4(B, A))  => v3_fomodel4(k13_fomodel0(C, B), A)) ) ).
fof(fc16_funcop_1, axiom,  (! [A, B] : v3_funct_1(k2_funcop_1(A, B))) ).
fof(fc16_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc17_card_1, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) )  => v3_card_1(k9_xtuple_0(B), A)) ) ).
fof(fc17_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(A))) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc17_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v15_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v7_fomodel1(k1_funct_1(k22_fomodel1(A), B), A)) ) ).
fof(fc17_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) & v3_fomodel4(C, A)) )  => v3_fomodel4(k2_xboole_0(B, C), A)) ) ).
fof(fc17_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_funct_1(k5_relat_1(A, B))) ) ) ).
fof(fc17_funct_1, axiom,  (! [A, B, C] :  ( (v4_funct_1(A) &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc17_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc18_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_zfmisc_1(A))  &  (v3_card_1(B, 1) & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  ~ (v1_xboole_0(k4_xboole_0(A, B))) ) ) ).
fof(fc18_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  => v3_finseq_1(k9_xtuple_0(A))) ) ).
fof(fc18_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k5_xboole_0(A, B))) ) ).
fof(fc18_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v1_fomodel4(k4_tarski(B, C), A)) ) ).
fof(fc18_funcop_1, axiom,  (! [A, B] : v4_relat_1(k2_funcop_1(A, B), A)) ).
fof(fc18_funct_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_zfmisc_1(k9_xtuple_0(A))) ) ) ).
fof(fc19_finseq_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) & v3_finseq_1(B))  => v3_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc19_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(A))) ) ).
fof(fc19_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k3_relat_1(D, C)) & v1_finseq_1(k3_relat_1(D, C))) ) ) ).
fof(fc19_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v12_fomodel1(k27_fomodel1(A), A)) ) ).
fof(fc19_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  ( (v3_fomodel2(C, A, B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v3_fomodel2(D, A, B) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v3_fomodel2(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), C), D), A, k1_nat_1(B, 1))) ) ).
fof(fc19_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v6_fomodel4(B, A) & m1_subset_1(B, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) )  => v7_fomodel4(k1_tarski(B), A)) ) ).
fof(fc19_funcop_1, axiom,  (! [A, B] : v4_relat_1(k17_funcop_1(A, B), k1_tarski(A))) ).
fof(fc19_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v3_relat_1(A) & v1_funct_1(A)) )  => v1_xboole_0(k1_funct_1(A, B))) ) ).
fof(fc19_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  => v1_xboole_0(k7_relat_1(A, B))) ) ).
fof(fc1_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v1_xboole_0(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc1_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_card_3(k5_relat_1(A, B))) ) ) ).
fof(fc1_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k1_finseq_1(A))) ) ).
fof(fc1_finset_1, axiom,  (! [A] : v1_finset_1(k1_tarski(A))) ).
fof(fc1_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k2_fomodel0(A)) &  (v1_funct_2(k2_fomodel0(A), k2_zfmisc_1(A, A), A) & v2_binop_1(k2_fomodel0(A), A)) ) ) ) ).
fof(fc1_fomodel1, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_int_1(A))  =>  (v8_ordinal1(k9_complex1(A)) & v1_int_1(k9_complex1(A))) ) ) ).
fof(fc1_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  ( (v9_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A)))  & m1_fomodel2(E, A, B, D)) ) ) )  =>  (v1_relat_1(k1_funct_4(C, k17_funcop_1(D, E))) &  (v1_funct_1(k1_funct_4(C, k17_funcop_1(D, E))) & v1_fomodel2(k1_funct_4(C, k17_funcop_1(D, E)), A, B)) ) ) ) ).
fof(fc1_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k1_fomodel4(A))) ) ) ).
fof(fc1_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) & v1_funct_1(k2_funcop_1(A, B))) ) ).
fof(fc1_funct_1, axiom,  (! [A, B] : v1_funct_1(k1_tarski(k4_tarski(A, B)))) ).
fof(fc1_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k1_funct_2(A, B))) ) ) ).
fof(fc1_funct_7, axiom,  (! [A, B] :  ~ (v1_xboole_0(k17_funcop_1(A, B))) ) ).
fof(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_partfun1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k4_partfun1(A, B))) ) ).
fof(fc1_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k3_xboole_0(A, B))) ) ).
fof(fc1_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  &  (v1_relat_1(C) & v4_relat_1(C, A)) )  => v4_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc1_subset_1, axiom,  (! [A] :  ~ (v1_xboole_0(k1_zfmisc_1(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc1_xtuple_0, axiom,  (! [A, B] : v1_xtuple_0(k4_tarski(A, B))) ).
fof(fc1_yellow12, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k3_tarski(A))) ) ).
fof(fc1_zfmisc_1, axiom,  (! [A] : v1_zfmisc_1(k1_tarski(A))) ).
fof(fc20_finseq_1, axiom,  (! [A, B] :  (v3_finseq_1(A) => v3_finseq_1(k4_xboole_0(A, B))) ) ).
fof(fc20_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_finset_1(k3_relat_1(B, A))) ) ) ).
fof(fc20_fomodel0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(E) &  (v5_relat_1(E, A) &  (v1_funct_1(E) &  (v3_card_1(E, C) & v1_finseq_1(E)) ) ) ) ) ) ) )  => v3_card_1(k3_relat_1(E, D), C)) ) ).
fof(fc20_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v4_fomodel2(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), B), C), A)) ) ).
fof(fc20_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k17_funcop_1(A, B))) ) ).
fof(fc20_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  => v1_xboole_0(k7_relat_1(A, B))) ) ).
fof(fc21_finseq_1, axiom,  (! [A, B] :  (v3_finseq_1(A) => v3_finseq_1(k3_xboole_0(A, B))) ) ).
fof(fc21_finset_1, axiom,  (! [A, B] : v1_finset_1(k17_funcop_1(A, B))) ).
fof(fc21_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  ( (v3_fomodel2(C, A, B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel1(D, A) & m1_subset_1(D, k1_fomodel1(A))) ) ) )  => v3_fomodel2(k7_finseq_1(k43_fomodel1(A, D), C), A, k1_nat_1(B, 1))) ) ).
fof(fc21_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) & v1_partfun1(k2_funcop_1(A, B), A)) ) ) ) ).
fof(fc21_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  => v1_xboole_0(k8_relat_1(A, B))) ) ).
fof(fc22_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k10_xtuple_0(A))) ) ).
fof(fc22_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k3_xboole_0(k6_subset_1(B, A), k3_xboole_0(A, C)))) ).
fof(fc22_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v4_fomodel2(k7_finseq_1(k43_fomodel1(A, B), C), A)) ) ).
fof(fc22_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k25_fomodel4(A), A)) ) ).
fof(fc22_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => v5_relat_1(k17_funcop_1(B, C), A)) ) ).
fof(fc22_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  => v1_xboole_0(k8_relat_1(A, B))) ) ).
fof(fc23_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k5_finseq_1(A))) ) ).
fof(fc23_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  => v1_finset_1(k8_relat_1(A, B))) ) ).
fof(fc23_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v15_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  (v1_relat_1(k34_fomodel1(A, B)) &  (v1_funct_1(k34_fomodel1(A, B)) &  (v3_card_1(k34_fomodel1(A, B), k1_int_2(k19_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B)))) & v1_finseq_1(k34_fomodel1(A, B))) ) ) ) ) ).
fof(fc23_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v7_fomodel1(C, A))  & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  ~ (v15_fomodel1(k7_finseq_1(k43_fomodel1(A, C), B), A)) ) ) ).
fof(fc23_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(C, B))  => v5_relat_1(k2_funcop_1(A, C), B)) ) ).
fof(fc23_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc24_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  ( ~ (v1_xboole_0(k7_finseq_1(A, B)))  & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc24_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_finset_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc24_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v5_fomodel1(k8_fomodel1(A), A)) ) ) ).
fof(fc24_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v7_fomodel1(D, A))  & m1_subset_1(D, k1_fomodel1(A))) ) ) )  =>  ~ (v15_fomodel1(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, D), B), C), A)) ) ) ).
fof(fc24_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v4_relat_1(k17_funcop_1(B, C), A)) ) ).
fof(fc24_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k9_xtuple_0(A))) ) ).
fof(fc25_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, A)) &  (v1_funct_1(k7_finseq_1(B, A)) &  ( ~ (v1_xboole_0(k7_finseq_1(B, A)))  & v1_finseq_1(k7_finseq_1(B, A))) ) ) ) ) ).
fof(fc25_fomodel0, axiom,  (! [A] :  (v4_funct_1(A) => v1_relat_1(k3_tarski(A))) ) ).
fof(fc25_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v9_fomodel1(k8_fomodel1(A), A)) ) ) ).
fof(fc25_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v7_fomodel1(k8_fomodel1(A), A)) ) ) ).
fof(fc25_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k30_fomodel2(A)))) ) )  => v5_fomodel4(k4_tarski(k2_xboole_0(C, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B)), B), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc25_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc26_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_finset_1(B))  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc26_fomodel0, axiom,  (! [A] : v1_xboole_0(k4_xboole_0(A, A))) ).
fof(fc26_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v8_ordinal1(B) &  (v14_fomodel1(C, B, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v8_ordinal1(k38_fomodel1(A, C))) ) ).
fof(fc26_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  =>  ~ (v15_fomodel1(k7_finseq_1(k43_fomodel1(A, k1_fomodel2(A)), B), A)) ) ) ).
fof(fc26_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B, C), B), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc26_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) & v5_relat_1(k5_relat_1(C, A), B)) ) ) ).
fof(fc27_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k5_relat_1(B, A)) & v1_finset_1(k5_relat_1(B, A))) ) ) ).
fof(fc27_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v1_xboole_0(k4_xboole_0(k6_domain_1(A, k3_funct_2(A, A, k6_partfun1(A), B)), k6_domain_1(A, B)))) ) ).
fof(fc27_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v5_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  =>  ~ (v8_ordinal1(k19_fomodel1(A, B))) ) ) ).
fof(fc27_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A)))  & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  ~ (v15_fomodel1(k7_finseq_1(k43_fomodel1(A, B), C), A)) ) ) ).
fof(fc27_fomodel3, axiom,  (! [A, B] :  (v4_funct_1(B) => v4_funct_1(k3_xboole_0(A, B))) ) ).
fof(fc27_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v5_fomodel4(k4_tarski(k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B), B), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc27_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v4_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) &  (v4_relat_1(k5_relat_1(C, A), A) & v4_relat_1(k5_relat_1(C, A), B)) ) ) ) ).
fof(fc28_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc28_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v8_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  =>  (v1_xxreal_0(k19_fomodel1(A, B)) &  ~ (v3_xxreal_0(k19_fomodel1(A, B))) ) ) ) ).
fof(fc28_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  => v5_fomodel2(k7_finseq_1(k43_fomodel1(A, C), B), A)) ) ).
fof(fc28_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v4_fomodel4(k1_tarski(k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B), B)), A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc28_relat_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) &  (v4_relat_1(k4_relat_1(A), A) & v5_relat_1(k4_relat_1(A), A)) ) ) ).
fof(fc29_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) & v3_fomodel0(C, A)) )  => v3_fomodel0(k7_relat_1(k9_fomodel0(A), k4_finseq_2(B, C)), A)) ) ).
fof(fc29_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  =>  (v1_xxreal_0(k19_fomodel1(A, B)) & v3_xxreal_0(k19_fomodel1(A, B))) ) ) ).
fof(fc29_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v15_fomodel1(B, A))  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  =>  (v7_ordinal1(k29_fomodel2(A, B)) &  ~ (v8_ordinal1(k29_fomodel2(A, B))) ) ) ) ).
fof(fc29_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k24_fomodel4(A), A)) ) ).
fof(fc29_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(C, B)) & v5_relat_1(k3_relat_1(C, B), A)) ) ) ).
fof(fc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (v8_ordinal1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc2_card_3, axiom,  (! [A, B] :  (v1_card_1(B) => v1_card_3(k2_funcop_1(A, B))) ) ).
fof(fc2_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k1_finseq_1(A))) ) ) ).
fof(fc2_finset_1, axiom,  (! [A, B] : v1_finset_1(k2_tarski(A, B))) ).
fof(fc2_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_funct_1(k11_monoid_0(A)) &  (v1_funct_2(k11_monoid_0(A), k2_zfmisc_1(k3_finseq_2(A), k3_finseq_2(A)), k3_finseq_2(A)) & v2_binop_1(k11_monoid_0(A), k3_finseq_2(A))) ) ) ) ).
fof(fc2_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l4_struct_0(A))  =>  ~ (v1_xboole_0(k4_xboole_0(u1_struct_0(A), k6_domain_1(u1_struct_0(A), u3_struct_0(A))))) ) ) ).
fof(fc2_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v1_relat_1(k1_fomodel4(A))) ) ).
fof(fc2_funcop_1, axiom,  (! [A] : v1_xboole_0(k2_funcop_1(k1_xboole_0, A))) ).
fof(fc2_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc2_funct_2, axiom,  (! [A] :  ~ (v1_xboole_0(k1_funct_2(A, A))) ) ).
fof(fc2_margrel1, axiom,  ~ (v1_xboole_0(k5_margrel1)) ).
fof(fc2_ramsey_1, axiom,  (! [A, B] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k2_xboole_0(A, B))) ) ) ).
fof(fc2_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k4_xboole_0(A, B))) ) ).
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_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc2_zfmisc_1, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k2_zfmisc_1(A, B))) ) ).
fof(fc30_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_tarski(A))) ) ).
fof(fc30_fomodel0, axiom,  (! [A] :  (v1_relat_1(A) => v1_xboole_0(k4_xboole_0(A, k2_zfmisc_1(k9_xtuple_0(A), k10_xtuple_0(A))))) ) ).
fof(fc30_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (v1_relat_1(k21_fomodel1(A)) &  (v1_funct_1(k21_fomodel1(A)) & v1_pre_poly(k21_fomodel1(A))) ) ) ) ).
fof(fc30_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v15_fomodel1(B, A))  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  =>  ~ (v7_fomodel1(k1_funct_1(k22_fomodel1(A), B), A)) ) ) ).
fof(fc30_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k27_fomodel4(A), A)) ) ).
fof(fc30_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(B, C)) & v4_relat_1(k3_relat_1(B, C), A)) ) ) ).
fof(fc31_finseq_1, axiom,  (! [A] : v4_funct_1(k13_finseq_1(A))) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc31_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k2_xboole_0(A, B), C), k2_xboole_0(A, k2_xboole_0(B, C))))) ).
fof(fc31_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v1_relat_1(B) &  (v5_relat_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) )  =>  ~ (v1_xboole_0(k1_funct_1(k21_fomodel1(A), B))) ) ) ).
fof(fc32_finseq_1, axiom,  (! [A] : v3_card_1(k5_finseq_1(A), 1)) ).
fof(fc32_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v5_finset_1(k2_tarski(A, B))) ) ).
fof(fc32_fomodel0, axiom,  (! [A] : v1_xboole_0(k5_xboole_0(k6_partfun1(k1_tarski(A)), k1_tarski(k4_tarski(A, A))))) ).
fof(fc32_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  => v14_fomodel1(k5_finseq_1(B), k5_numbers, A)) ) ).
fof(fc32_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v12_fomodel1(k26_fomodel2(A), A)) ) ).
fof(fc33_finset_1, axiom,  (! [A, B] :  ( (v5_finset_1(A) & v5_finset_1(B))  => v5_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc33_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k17_funcop_1(A, B), k1_tarski(k4_tarski(A, B))))) ).
fof(fc33_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v8_ordinal1(k2_xcmplx_0(k19_fomodel1(A, k31_fomodel2(A)), 2))) ) ).
fof(fc33_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v7_fomodel4(B, A) & m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))))  &  (v7_fomodel4(C, A) & m1_subset_1(C, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))))) ) )  => v7_fomodel4(k2_xboole_0(B, C), A)) ) ).
fof(fc33_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc34_finset_1, axiom,  (! [A] :  ( (v1_finset_1(A) & v5_finset_1(A))  => v1_finset_1(k3_tarski(A))) ) ).
fof(fc34_fomodel0, axiom,  (! [A] : v1_xboole_0(k5_xboole_0(k6_partfun1(k1_tarski(A)), k17_funcop_1(A, A)))) ).
fof(fc34_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v15_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  (v1_relat_1(k34_fomodel1(A, B)) & v5_relat_1(k34_fomodel1(A, B), k3_finseq_2(k10_xtuple_0(B)))) ) ) ).
fof(fc34_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v8_ordinal1(B) &  (v3_fomodel2(C, A, B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v8_ordinal1(k29_fomodel2(A, C))) ) ).
fof(fc34_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k33_fomodel4(A), A)) ) ).
fof(fc35_finseq_1, axiom, v4_finseq_1(k1_tarski(k1_xboole_0))).
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(fc35_fomodel3, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  & v7_ordinal1(C)) )  => v3_fomodel2(k13_fomodel0(C, B), A, k2_xcmplx_0(k29_fomodel2(A, B), C))) ) ).
fof(fc35_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k35_fomodel4(A), A)) ) ).
fof(fc36_finseq_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) & v4_finseq_1(B))  => v4_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc36_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_finset_1(A))  => v5_finset_1(k10_xtuple_0(A))) ) ).
fof(fc36_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v14_fomodel1(k13_fomodel0(B, C), k2_xcmplx_0(k38_fomodel1(A, C), B), A)) ) ).
fof(fc36_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v6_fomodel4(k34_fomodel4(A), A)) ) ).
fof(fc36_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  (v1_xxreal_0(k4_xxreal_0(A, B)) & v1_xreal_0(k4_xxreal_0(A, B))) ) ) ).
fof(fc37_finseq_1, axiom,  (! [A] : v4_finseq_1(k13_finseq_1(A))) ).
fof(fc37_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v1_xboole_0(k4_xboole_0(k35_fomodel1(A), k3_finseq_2(k5_fomodel1(A))))) ) ).
fof(fc37_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v5_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v4_fomodel1(k1_funct_1(k22_fomodel1(A), B), A)) ) ).
fof(fc37_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v13_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k31_fomodel2(A)), B), C), k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k31_fomodel2(A)), C), D)), k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k31_fomodel2(A)), B), D)), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k27_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc38_finseq_1, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, B) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(C, D)) &  (v1_funct_1(k7_finseq_1(C, D)) &  (v3_card_1(k7_finseq_1(C, D), k2_xcmplx_0(A, B)) & v1_finseq_1(k7_finseq_1(C, D))) ) ) ) ) ).
fof(fc38_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v15_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  =>  (v5_relat_1(k34_fomodel1(A, B), k3_finseq_2(k5_fomodel1(A))) & v3_card_1(k34_fomodel1(A, B), k1_int_2(k19_fomodel1(A, k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B))))) ) ) ).
fof(fc38_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v4_fomodel1(C, A))  & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  ~ (v5_fomodel2(k7_finseq_1(k43_fomodel1(A, C), B), A)) ) ) ).
fof(fc38_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  (v3_fomodel4(C, A) &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v5_fomodel4(k4_tarski(k2_xboole_0(B, C), D), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k25_fomodel4(A)), k1_tarski(k4_tarski(B, D)))) ) ).
fof(fc39_finseq_1, axiom,  (! [A, B, C] :  ( (v4_finseq_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) ) )  => v1_finseq_1(k1_funct_1(B, C))) ) ).
fof(fc39_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k9_fomodel1(A))) ) ) ).
fof(fc39_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v4_fomodel1(D, A))  & m1_subset_1(D, k1_fomodel1(A))) ) ) )  =>  ~ (v5_fomodel2(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, D), B), C), A)) ) ) ).
fof(fc39_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v5_fomodel4(k4_tarski(k2_xboole_0(B, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), C)), C), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc3_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v1_xboole_0(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc3_card_3, axiom,  (! [A, B] :  (v1_card_1(B) => v1_card_3(k17_funcop_1(A, B))) ) ).
fof(fc3_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k1_finseq_1(A))) ) ).
fof(fc3_finseq_2, axiom,  (! [A, B] :  (v7_ordinal1(A) => v1_finseq_1(k2_funcop_1(k1_finseq_1(A), B))) ) ).
fof(fc3_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k4_xboole_0(k3_finseq_2(A), k1_tarski(k1_xboole_0)))) ) ) ).
fof(fc3_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k1_fomodel1(A))) ) ) ).
fof(fc3_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v1_fomodel4(B, A))  => v2_fomodel4(k1_tarski(B), A)) ) ).
fof(fc3_funcop_1, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k2_funcop_1(B, A))) ) ).
fof(fc3_funct_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) & v1_funct_1(k4_relat_1(A))) ) ).
fof(fc3_funct_2, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & v1_xboole_0(B))  => v1_xboole_0(k1_funct_2(A, B))) ) ).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k3_tarski(A))) ) ).
fof(fc3_partfun1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) &  (v3_relat_2(k4_relat_1(A)) &  (v4_relat_2(k4_relat_1(A)) & v8_relat_2(k4_relat_1(A))) ) ) ) ).
fof(fc3_ramsey_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  & v1_finset_1(B))  =>  ~ (v1_finset_1(k4_xboole_0(A, B))) ) ) ).
fof(fc3_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k2_xboole_0(A, B))) ) ).
fof(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_xboole_0, axiom,  (! [A, B] :  ~ (v1_xboole_0(k2_tarski(A, B))) ) ).
fof(fc3_zfmisc_1, axiom,  (! [A, B] :  (v1_xboole_0(A) => v1_xboole_0(k2_zfmisc_1(A, B))) ) ).
fof(fc40_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v4_fomodel1(k8_fomodel1(A), A)) ) ) ).
fof(fc40_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v5_fomodel4(k4_tarski(B, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), D), C)), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k34_fomodel4(A)), k1_tarski(k4_tarski(B, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), C), D))))) ) ).
fof(fc41_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (v1_relat_1(k8_fomodel0(A)) &  (v1_funct_1(k8_fomodel0(A)) & v1_pre_poly(k8_fomodel0(A))) ) ) ) ).
fof(fc41_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  =>  ~ (v3_fomodel2(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), B), C), A, k4_xxreal_0(k29_fomodel2(A, B), k29_fomodel2(A, C)))) ) ) ).
fof(fc41_fomodel4, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v1_fomodel4(B, A))  => v3_fomodel4(k1_xtuple_0(B), A)) ) ).
fof(fc42_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) )  &  (v7_ordinal1(C) &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) &  (v3_card_1(D, k2_xcmplx_0(B, C)) & v1_finseq_1(D)) ) ) ) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(D, B)), A))) ) ).
fof(fc42_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  ~ (v3_fomodel2(k7_finseq_1(k43_fomodel1(A, C), B), A, k29_fomodel2(A, B))) ) ) ).
fof(fc43_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  (v7_ordinal1(C) &  (v3_card_1(D, k2_xcmplx_0(k2_xcmplx_0(B, 1), C)) & m1_subset_1(D, k3_finseq_2(A))) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(D, k2_xcmplx_0(B, 1))), A))) ) ).
fof(fc43_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  => v3_fomodel2(k7_finseq_1(k43_fomodel1(A, C), B), A, k2_xcmplx_0(1, k29_fomodel2(A, B)))) ) ).
fof(fc43_fomodel4, axiom,  (! [A, B, C, D, E] :  ( ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (v3_fomodel4(C, B) &  (v3_fomodel4(D, B) &  (v4_fomodel2(E, B) & m1_subset_1(E, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)))) ) ) ) )  => v5_fomodel4(k4_tarski(k13_fomodel0(A, k2_xboole_0(C, D)), E), A, B, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(B)), k9_setfam_1(k1_fomodel4(B))), k25_fomodel4(B)), k1_tarski(k4_tarski(C, E)))) ) ).
fof(fc44_fomodel1, axiom,  (! [A, B] :  (v1_int_1(B) =>  (v1_relat_1(k2_funcop_1(A, B)) &  (v5_relat_1(k2_funcop_1(A, B), k4_numbers) & v1_funct_1(k2_funcop_1(A, B))) ) ) ) ).
fof(fc44_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  (v3_fomodel2(C, A, B) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v3_fomodel2(k35_fomodel2(A, C), A, k1_nat_1(B, 1))) ) ).
fof(fc45_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => v4_fomodel2(k35_fomodel2(A, B), A)) ) ).
fof(fc46_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, k2_xcmplx_0(A, B)) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k5_relat_1(C, k2_finseq_1(A))) &  (v1_funct_1(k5_relat_1(C, k2_finseq_1(A))) &  (v3_card_1(k5_relat_1(C, k2_finseq_1(A)), A) & v1_finseq_1(k5_relat_1(C, k2_finseq_1(A)))) ) ) ) ) ).
fof(fc46_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v9_fomodel1(k7_fomodel1(A), A)) ) ) ).
fof(fc46_fomodel4, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(E, A) & m1_subset_1(E, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ) )  => v5_fomodel4(k4_tarski(k13_fomodel0(k42_fomodel1(A, D, E), B), k35_fomodel2(A, C)), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k35_fomodel4(A)), k2_tarski(k4_tarski(k2_xboole_0(B, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), C)), D), k4_tarski(k2_xboole_0(B, k6_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), C)), k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), D), E))))) ) ).
fof(fc47_fomodel0, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_partfun1(C, A)) ) )  =>  (v1_relat_1(k5_relat_1(C, B)) &  (v4_relat_1(k5_relat_1(C, B), B) & v1_partfun1(k5_relat_1(C, B), B)) ) ) ) ).
fof(fc48_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(C, B)) )  => v1_xboole_0(k5_xboole_0(k1_funct_1(k5_relat_1(A, B), C), k1_funct_1(A, C)))) ) ).
fof(fc49_fomodel0, axiom,  (! [A, B, C, D, E] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  (m1_subset_1(D, B) &  (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) ) ) )  => v1_xboole_0(k5_xboole_0(k1_funct_1(k3_relat_1(E, A), D), k1_funct_1(A, k3_funct_2(B, C, E, D))))) ) ).
fof(fc4_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ( ~ (v8_ordinal1(k1_card_1(A)))  & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc4_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_card_1(k1_finseq_1(A), A)) ) ).
fof(fc4_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k5_relat_1(A, k1_tarski(B))) &  (v1_funct_1(k5_relat_1(A, k1_tarski(B))) & v2_funct_1(k5_relat_1(A, k1_tarski(B)))) ) ) ) ).
fof(fc4_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v2_fomodel4(B, A) & v2_fomodel4(C, A)) )  => v2_fomodel4(k2_xboole_0(B, C), A)) ) ).
fof(fc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k2_funcop_1(B, A))) ) ) ).
fof(fc4_funct_1, axiom,  (! [A] :  (v1_relat_1(k4_relat_1(A)) & v2_funct_1(k4_relat_1(A))) ) ).
fof(fc4_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v1_funct_1(k3_relat_1(D, C)) & v1_funct_2(k3_relat_1(D, C), A, B)) ) ) ).
fof(fc4_funct_7, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_funcop_1(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_funcop_1(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc4_margrel1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) )  => v1_xboolean(k1_funct_1(A, B))) ) ).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc4_partfun1, axiom,  (! [A, B] : v4_funct_1(k4_partfun1(A, B))) ).
fof(fc4_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k5_xboole_0(A, B))) ) ).
fof(fc4_relset_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  &  (v1_relat_1(C) & v5_relat_1(C, A)) )  => v5_relat_1(k2_xboole_0(B, C), A)) ) ).
fof(fc4_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(A, B))) ) ) ).
fof(fc4_xtuple_0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k9_xtuple_0(A))) ) ).
fof(fc4_zfmisc_1, axiom,  (! [A, B] :  ( (v1_zfmisc_1(A) & v1_zfmisc_1(B))  => v1_zfmisc_1(k2_zfmisc_1(A, B))) ) ).
fof(fc51_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_xboole_0(k4_xboole_0(B, A))) ) ).
fof(fc51_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v13_fomodel1(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v13_fomodel1(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v15_fomodel1(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, k18_fomodel1(A)), B), C), A)) ) ).
fof(fc51_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v15_fomodel1(B, A))  &  (v4_fomodel2(B, A) &  ( ~ (v5_fomodel2(B, A))  & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v1_xboole_0(k5_xboole_0(k3_funct_2(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k15_fomodel1(A), k22_fomodel1(A), B), k1_fomodel2(A)))) ) ).
fof(fc52_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k4_xboole_0(k1_tarski(A), k2_tarski(A, B)))) ).
fof(fc53_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k1_xfamily(k4_tarski(A, B)), A))) ).
fof(fc53_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v5_fomodel4(k4_tarski(k13_fomodel0(D, B), k35_fomodel2(A, C)), 2, A, k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k25_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k35_fomodel4(A))), k1_tarski(k4_tarski(B, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), C), D))))) ) ).
fof(fc54_finseq_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v1_finseq_1(B)) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v1_funct_1(C) & v1_finseq_1(C)) ) ) )  =>  (v1_relat_1(k7_finseq_1(B, C)) &  (v5_relat_1(k7_finseq_1(B, C), A) &  (v1_funct_1(k7_finseq_1(B, C)) & v1_finseq_1(k7_finseq_1(B, C))) ) ) ) ) ).
fof(fc54_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k2_xfamily(k4_tarski(A, B)), B))) ).
fof(fc54_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v3_fomodel4(B, A) &  ( (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => v5_fomodel4(k4_tarski(k13_fomodel0(C, B), k35_fomodel2(A, D)), 3, A, k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k25_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k35_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k34_fomodel4(A))), k1_tarski(k4_tarski(B, k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), C), D))))) ) ).
fof(fc55_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v6_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v6_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v6_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc55_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k13_fomodel0(B, A))) ) ).
fof(fc55_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel2(A, B), k35_fomodel2(A, C)), k42_fomodel1(A, k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), B), C)), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k33_fomodel4(A)), k5_lang1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel2(A, B), k35_fomodel2(A, C)), k35_fomodel2(A, B)), k1_domain_1(k1_zfmisc_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))), k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel2(A, B), k35_fomodel2(A, C)), k35_fomodel2(A, C))))) ) ).
fof(fc56_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v5_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v5_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v5_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc56_fomodel0, axiom,  (! [A, B] :  (v1_funct_1(A) => v1_funct_1(k13_fomodel0(B, A))) ) ).
fof(fc56_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  => v1_xboole_0(k4_xboole_0(k37_fomodel1(A), k9_xtuple_0(C)))) ) ).
fof(fc56_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v5_fomodel4(k4_tarski(k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), B, C), C), 1, A, k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k1_xboole_0)) ) ).
fof(fc57_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_finseq_1(A))  =>  (v1_relat_1(k13_fomodel0(B, A)) & v1_finseq_1(k13_fomodel0(B, A))) ) ) ).
fof(fc58_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v3_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v3_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc58_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(k13_fomodel0(B, A)) &  (v1_funct_1(k13_fomodel0(B, A)) &  (v3_card_1(k13_fomodel0(B, A), k3_finseq_1(A)) & v1_finseq_1(k13_fomodel0(B, A))) ) ) ) ) ).
fof(fc59_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v1_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc59_fomodel0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finseq_1(A)) ) )  =>  ~ (v8_ordinal1(k1_card_1(A))) ) ) ).
fof(fc5_finseq_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_xboole_0(k4_finseq_2(A, B))) ) ) ).
fof(fc5_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => v2_setfam_1(k1_tarski(A))) ) ).
fof(fc5_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v7_fomodel1(k7_fomodel1(A), A)) ) ).
fof(fc5_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v1_fomodel4(B, A) & v1_fomodel4(C, A)) )  => v2_fomodel4(k2_tarski(B, C), A)) ) ).
fof(fc5_funcop_1, axiom,  (! [A] : v3_relat_1(k2_funcop_1(A, k1_xboole_0))) ).
fof(fc5_funct_2, axiom,  (! [A, B, C, D] :  ( ( (v1_funct_1(C) &  (v1_funct_2(C, B, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, B)))) )  &  (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  =>  (v1_funct_1(k3_relat_1(D, C)) & v1_funct_2(k3_relat_1(D, C), A, B)) ) ) ).
fof(fc5_margrel1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_card_3(B))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_margrel1(k5_relat_1(A, B))) ) ) ).
fof(fc5_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  & v3_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) &  (v5_relat_1(k5_relat_1(A, B), k10_xtuple_0(A)) & v5_ordinal1(k5_relat_1(A, B))) ) ) ) ).
fof(fc5_relat_1, axiom,  (! [A, B] : v1_relat_1(k1_tarski(k4_tarski(A, B)))) ).
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_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc5_xtuple_0, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc60_finseq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v1_finseq_1(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v1_finseq_1(B)) ) ) )  =>  (v1_relat_1(k7_finseq_1(A, B)) &  (v1_funct_1(k7_finseq_1(A, B)) &  (v2_valued_0(k7_finseq_1(A, B)) & v1_finseq_1(k7_finseq_1(A, B))) ) ) ) ) ).
fof(fc60_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) =>  (v1_relat_1(k5_relat_1(A, B)) & v4_relat_1(k5_relat_1(A, B), B)) ) ) ).
fof(fc60_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  (v4_fomodel2(C, A) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) )  => v9_fomodel4(k7_finseq_1(k42_fomodel1(A, k43_fomodel1(A, k1_fomodel2(A)), B), C), A, k4_subset_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k24_fomodel4(A)), k6_domain_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))), k33_fomodel4(A))), k7_domain_1(k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)), k35_fomodel2(A, B), k35_fomodel2(A, C)))) ) ).
fof(fc61_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v6_valued_0(k5_finseq_1(A))) ) ).
fof(fc61_fomodel0, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k13_fomodel0(A, B))) ) ).
fof(fc62_finseq_1, axiom,  (! [A] :  (v1_int_1(A) => v5_valued_0(k5_finseq_1(A))) ) ).
fof(fc62_fomodel0, axiom,  (! [A, B] :  (v1_xboole_0(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v5_relat_1(k13_fomodel0(A, B), A)) ) ) ).
fof(fc62_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (v1_xboole_0(C) & m1_subset_1(D, k15_fomodel2(B, A))) ) )  => v10_fomodel2(k13_fomodel0(D, C), A, B, D)) ) ).
fof(fc63_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k13_fomodel0(B, C)) & v4_relat_1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B)))) ) ) ).
fof(fc63_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k15_fomodel2(B, A)) &  (v10_fomodel2(D, A, B, C) & v10_fomodel2(E, A, B, C)) ) ) )  => v10_fomodel2(k2_xboole_0(D, E), A, B, C)) ) ).
fof(fc64_finseq_1, axiom,  (! [A] :  (v1_xreal_0(A) => v3_valued_0(k5_finseq_1(A))) ) ).
fof(fc64_fomodel0, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ( (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) )  &  (v1_relat_1(D) &  (v1_funct_1(D) &  (v3_card_1(D, B) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k7_finseq_1(C, D)) &  (v1_funct_1(k7_finseq_1(C, D)) &  (v3_card_1(k7_finseq_1(C, D), k2_xcmplx_0(A, B)) & v1_finseq_1(k7_finseq_1(C, D))) ) ) ) ) ).
fof(fc64_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  (m1_subset_1(C, k15_fomodel2(B, A)) & v10_fomodel2(D, A, B, C)) ) )  => v11_fomodel2(k13_fomodel0(D, C), B, A, D)) ) ).
fof(fc64_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k24_fomodel4(A), A)) ) ).
fof(fc65_finseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_valued_0(k5_finseq_1(A))) ) ).
fof(fc65_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v1_xboole_0(k5_xboole_0(k3_funct_2(A, A, k6_partfun1(A), B), B))) ) ).
fof(fc65_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v12_fomodel2(k13_fomodel0(A, k1_xboole_0), A)) ) ).
fof(fc65_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v16_fomodel4(k25_fomodel4(A), A)) ) ).
fof(fc66_finseq_1, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_valued_0(k5_finseq_1(A))) ) ).
fof(fc66_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finseq_1(B)) ) ) ) )  => v1_xboole_0(k4_xboole_0(k1_tarski(k1_funct_1(B, 1)), A))) ) ).
fof(fc67_fomodel0, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_partfun1(C, A)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, B) & v1_partfun1(D, B)) ) ) )  =>  (v1_relat_1(k3_relat_1(C, D)) &  (v4_relat_1(k3_relat_1(C, D), A) & v1_partfun1(k3_relat_1(C, D), A)) ) ) ) ).
fof(fc68_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v5_relat_1(k13_fomodel0(A, B), k2_xboole_0(A, k10_xtuple_0(B)))) ) ) ).
fof(fc69_fomodel0, axiom,  (! [A, B] :  ( (v4_funct_1(A) & v4_funct_1(B))  => v4_funct_1(k2_xboole_0(A, B))) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_finseq_1, axiom,  (! [A] :  (v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A))) ) ).
fof(fc6_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v1_setfam_1(k4_finseq_2(B, A))) ) ).
fof(fc6_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k5_fomodel1(A))) ) ) ).
fof(fc6_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finseq_1(C)) ) )  &  (v1_funct_1(D) &  (v1_funct_2(D, B, A) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) )  =>  (v1_relat_1(k3_relat_1(C, D)) &  (v1_funct_1(k3_relat_1(C, D)) &  (v3_card_1(k3_relat_1(C, D), k3_finseq_1(C)) & v1_finseq_1(k3_relat_1(C, D))) ) ) ) ) ).
fof(fc6_fomodel4, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( (v4_fomodel2(B, A) & m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))))  &  ( (v1_finset_1(C) & m1_subset_1(C, k1_zfmisc_1(k30_fomodel2(A))))  &  (v1_finset_1(D) & m1_subset_1(D, k1_zfmisc_1(k30_fomodel2(A)))) ) ) )  => v1_fomodel4(k4_tarski(k4_subset_1(k30_fomodel2(A), C, D), B), A)) ) ).
fof(fc6_funct_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v2_funct_2(B, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) )  &  (v1_funct_1(C) &  (v2_funct_2(C, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  =>  (v1_funct_1(k3_relat_1(C, B)) & v2_funct_2(k3_relat_1(C, B), A)) ) ) ).
fof(fc6_margrel1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k3_finseq_2(A), A)))) )  => v4_finseq_1(k9_xtuple_0(B))) ) ).
fof(fc6_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  =>  (v7_ordinal1(k4_xxreal_0(A, B)) & v1_xxreal_0(k4_xxreal_0(A, B))) ) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(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_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => v1_xxreal_0(k4_xxreal_0(A, B))) ) ).
fof(fc73_fomodel0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  & v1_xcmplx_0(A))  =>  (v1_xxreal_0(k9_complex1(A)) & v2_xxreal_0(k9_complex1(A))) ) ) ).
fof(fc75_fomodel0, axiom,  (! [A, B] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k6_subset_1(A, B), k3_xboole_0(A, B)), A))) ).
fof(fc76_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k5_xboole_0(k2_xboole_0(k3_xboole_0(A, B), k3_xboole_0(A, C)), k3_xboole_0(A, k2_xboole_0(B, C))))) ).
fof(fc77_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k5_xboole_0(k7_subset_1(A, k6_subset_1(A, B), C), k6_subset_1(A, k2_xboole_0(B, C))))) ).
fof(fc79_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  => v5_relat_1(k1_funct_1(k9_fomodel0(A), B), A)) ) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_card_3(k1_tarski(A))) ) ).
fof(fc7_finseq_1, axiom,  (! [A] : v1_finseq_1(k5_finseq_1(A))) ).
fof(fc7_fomodel0, axiom,  (! [A, B] :  (v8_ordinal1(B) => v2_setfam_1(k4_finseq_2(B, A))) ) ).
fof(fc7_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v4_fomodel1(B, A) & m1_subset_1(B, k1_fomodel1(A))) )  => v8_ordinal1(k19_fomodel1(A, B))) ) ).
fof(fc7_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_relat_1(D) &  (v5_relat_1(D, A) &  (v1_funct_1(D) & v1_finseq_1(D)) ) ) ) ) )  =>  (v1_relat_1(k3_relat_1(D, C)) & v1_finseq_1(k3_relat_1(D, C))) ) ) ).
fof(fc7_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v2_fomodel4(k3_xboole_0(k1_xboole_0, A), A)) ) ).
fof(fc7_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc7_funct_2, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, A, A) &  (v3_funct_2(B, A, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) )  &  (v1_funct_1(C) &  (v1_funct_2(C, A, A) &  (v3_funct_2(C, A, A) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, A)))) ) ) )  =>  (v1_funct_1(k3_relat_1(B, C)) &  (v1_funct_2(k3_relat_1(B, C), A, A) & v3_funct_2(k3_relat_1(B, C), A, A)) ) ) ) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_margrel1, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_margrel1(A))  => v2_card_3(k9_xtuple_0(A))) ) ).
fof(fc7_relat_1, axiom,  (! [A, B, C, D] : v1_relat_1(k2_tarski(k4_tarski(A, B), k4_tarski(C, D)))) ).
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(fc80_fomodel0, axiom,  (! [A] : v1_setfam_1(k4_xboole_0(A, k1_tarski(k1_xboole_0)))) ).
fof(fc81_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_finset_1(k13_finseq_1(A))) ) ) ).
fof(fc82_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_setfam_1(k13_finseq_1(A))) ) ) ).
fof(fc83_fomodel0, axiom,  (! [A, B] :  (v7_ordinal1(B) => v1_xboole_0(k4_xboole_0(k4_finseq_2(B, A), k3_finseq_2(A)))) ) ).
fof(fc84_fomodel0, axiom,  (! [A] :  ~ (v1_xboole_0(k4_xboole_0(k9_setfam_1(A), A))) ) ).
fof(fc85_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) =>  (v1_relat_1(k13_fomodel0(A, B)) & v4_relat_1(k13_fomodel0(A, B), k2_xboole_0(A, k9_xtuple_0(B)))) ) ) ).
fof(fc89_fomodel0, axiom, v1_xboole_0(k4_xboole_0(k4_ordinal1, k4_numbers))).
fof(fc8_card_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (v1_finset_1(k1_card_1(A)) & v1_card_1(k1_card_1(A))) ) ) ).
fof(fc8_fomodel0, axiom,  (! [A, B] :  ( (v1_xboole_0(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v1_xboole_0(k4_finseq_2(B, A))) ) ).
fof(fc8_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_xboole_0(k4_xboole_0(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) ).
fof(fc8_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (v7_ordinal1(C) &  ( (v1_relat_1(D) &  (v5_relat_1(D, B) &  (v1_funct_1(D) &  (v3_card_1(D, C) & v1_finseq_1(D)) ) ) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) ) ) ) ) )  => v3_card_1(k3_relat_1(D, E), C)) ) ).
fof(fc8_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => v2_fomodel4(k13_fomodel0(A, k1_xboole_0), A)) ) ).
fof(fc8_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funct_1(k5_relat_1(A, B))) ) ) ).
fof(fc8_funct_2, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(B))  &  ( (v1_funct_1(D) &  (v1_funct_2(D, A, B) & m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  &  (v1_funct_1(E) &  (v1_funct_2(E, B, C) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, C)))) ) ) )  =>  (v1_funct_1(k3_relat_1(D, E)) & v1_funct_2(k3_relat_1(D, E), A, C)) ) ) ).
fof(fc8_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_funct_7(k5_finseq_1(A))) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) &  (v4_relat_1(k3_relat_1(A, C), k4_ordinal1) &  (v5_relat_1(k3_relat_1(A, C), B) & v1_funct_1(k3_relat_1(A, C))) ) ) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
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(fc91_fomodel0, axiom,  (! [A, B, C] :  ( (v7_ordinal1(A) &  (v8_ordinal1(B) &  (v1_relat_1(C) &  (v1_funct_1(C) &  (v3_card_1(C, A) & v1_finseq_1(C)) ) ) ) )  =>  (v1_relat_1(k13_fomodel0(B, C)) &  (v4_relat_1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B))) & v1_partfun1(k13_fomodel0(B, C), k2_finseq_1(k2_xcmplx_0(A, B)))) ) ) ) ).
fof(fc93_fomodel0, axiom,  (! [A] :  ( (v5_finset_1(A) & v4_card_3(A))  => v4_card_3(k3_tarski(A))) ) ).
fof(fc95_fomodel0, axiom,  (! [A, B] :  ( (v4_card_3(A) & v4_card_3(B))  => v4_card_3(k2_xboole_0(A, B))) ) ).
fof(fc96_fomodel0, axiom,  (! [A, B, C] : v1_xboole_0(k5_xboole_0(k6_subset_1(A, k6_subset_1(k2_xboole_0(A, B), C)), k3_xboole_0(A, C)))) ).
fof(fc98_fomodel0, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(B)))  => v1_xboole_0(k4_xboole_0(k7_subset_1(A, C, B), k6_subset_1(A, D)))) ) ).
fof(fc99_fomodel0, axiom,  (! [A, B, C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(A)) & m1_subset_1(D, k1_zfmisc_1(B)))  => v1_xboole_0(k4_xboole_0(k7_subset_1(A, C, B), k6_subset_1(A, D)))) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_xboole_0(A, B))) ) ).
fof(fc9_fomodel0, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) )  & v1_xboole_0(C)) )  => v2_fomodel0(k3_xboole_0(C, B), A, B)) ) ).
fof(fc9_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  ~ (v1_finset_1(k1_fomodel1(A))) ) ) ).
fof(fc9_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (v1_relat_1(k10_fomodel2(A, B, C)) &  (v1_funct_1(k10_fomodel2(A, B, C)) & v2_fomodel2(k10_fomodel2(A, B, C), A, B, C)) ) ) ) ).
fof(fc9_fomodel4, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v2_fomodel4(C, A))  => v2_fomodel4(k3_xboole_0(C, B), A)) ) ).
fof(fc9_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc9_funct_7, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, A))) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k9_setfam_1(k2_zfmisc_1(A, A)))))) )  & v7_ordinal1(C))  => v1_relat_1(k1_funct_1(B, C))) ) ).
fof(fc9_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) & v1_partfun1(k3_relat_1(A, C), k4_ordinal1)) ) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k10_xtuple_0(A))) ) ) ).
fof(fc9_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fraenkel_a_1_0_fomodel2, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (r2_hidden(A, a_1_0_fomodel2(B)) <=>  (? [C] :  (m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) &  (A=C &  (? [D] :  (v7_ordinal1(D) & v3_fomodel2(C, B, D)) ) ) ) ) ) ) ) ).
fof(fraenkel_a_1_0_fomodel4, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (r2_hidden(A, a_1_0_fomodel4(B)) <=>  (? [C, D] :  ( (m1_subset_1(C, k1_zfmisc_1(k30_fomodel2(B))) &  (v4_fomodel2(D, B) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)))) )  &  (A=k1_domain_1(k1_zfmisc_1(k30_fomodel2(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0)), C, D) & v1_finset_1(C)) ) ) ) ) ) ).
fof(fraenkel_a_2_0_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  &  ~ (v1_xboole_0(C)) )  =>  (r2_hidden(A, a_2_0_fomodel2(B, C)) <=>  (? [D] :  (m2_funct_2(D, k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1)), k9_funct_2(k37_fomodel1(B), k3_rfunct_3(k3_finseq_2(C), k2_xboole_0(C, k5_margrel1)))) &  (A=D & v1_fomodel2(D, B, C)) ) ) ) ) ) ).
fof(idempotence_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, A)=A) ).
fof(idempotence_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, A)=A) ) ).
fof(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(idempotence_k3_xboole_0, axiom,  (! [A, B] : k3_xboole_0(A, A)=A) ).
fof(idempotence_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, B)=B) ) ).
fof(idempotence_k4_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k4_xxreal_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(ie10_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k2_xboole_0(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie11_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k13_fomodel0(B, A)=k2_xboole_0(A, B)) ) ).
fof(ie13_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k7_finseq_1(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie14_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k13_fomodel0(B, A)=k7_finseq_1(A, B)) ) ).
fof(ie15_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k7_finseq_1(B, A)=k13_fomodel0(B, A)) ) ).
fof(ie16_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finseq_1(B)) ) ) )  => k13_fomodel0(B, A)=k7_finseq_1(B, A)) ) ).
fof(ie17_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=k13_fomodel0(A, B)) ) ).
fof(ie18_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k13_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(ie19_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k1_funct_4(B, C)=k13_fomodel0(B, C)) ) ).
fof(ie1_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k3_finseq_2(A)=k1_tarski(A)) ) ).
fof(ie20_fomodel0, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  => k13_fomodel0(B, C)=k1_funct_4(B, C)) ) ).
fof(ie21_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k1_funct_4(A, B)=k13_fomodel0(B, A)) ) ).
fof(ie22_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k13_fomodel0(B, A)=k1_funct_4(A, B)) ) ).
fof(ie23_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k1_funct_4(B, A)=k13_fomodel0(B, A)) ) ).
fof(ie24_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v1_xboole_0(B))  => k13_fomodel0(B, A)=k1_funct_4(B, A)) ) ).
fof(ie25_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k24_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(ie26_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k5_relat_1(B, A)=k24_fomodel0(A, B)) ) ).
fof(ie27_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k25_fomodel0(A, B)=k5_relat_1(B, A)) ) ).
fof(ie28_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(B) => k5_relat_1(B, A)=k25_fomodel0(A, B)) ) ).
fof(ie29_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => k26_fomodel0(A, B)=k27_fomodel0(A, B)) ) ).
fof(ie2_fomodel0, axiom,  (! [A] :  (v1_xboole_0(A) => k1_tarski(A)=k3_finseq_2(A)) ) ).
fof(ie2_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k15_fomodel2(A, B)) &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => k25_fomodel2(A, B, C, D)=k13_fomodel2(A, B, C, D)) ) ).
fof(ie30_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => k27_fomodel0(A, B)=k28_fomodel0(A, B)) ) ).
fof(ie31_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, B)=k26_fomodel0(A, B)) ) ).
fof(ie32_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k26_fomodel0(A, B)=k1_funct_4(A, B)) ) ).
fof(ie33_fomodel0, axiom,  (! [A, B] : k2_tarski(A, B)=k29_fomodel0(A, B)) ).
fof(ie34_fomodel0, axiom,  (! [A, B] : k29_fomodel0(A, B)=k2_tarski(A, B)) ).
fof(ie35_fomodel0, axiom,  (! [A, B] : k29_fomodel0(A, B)=k29_fomodel0(B, A)) ).
fof(ie36_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) => k7_relat_1(A, B)=k30_fomodel0(A, B)) ) ).
fof(ie37_fomodel0, axiom,  (! [A, B] :  (v1_relat_1(A) => k30_fomodel0(A, B)=k7_relat_1(A, B)) ) ).
fof(ie3_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k12_fomodel0(B, A)) ).
fof(ie3_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k15_fomodel2(A, B)) &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => k13_fomodel2(A, B, C, D)=k25_fomodel2(A, B, C, D)) ) ).
fof(ie4_fomodel0, axiom,  (! [A, B] : k3_xboole_0(A, B)=k12_fomodel0(A, B)) ).
fof(ie5_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k9_subset_1(A, A, B)=k13_fomodel0(A, B)) ) ).
fof(ie6_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k13_fomodel0(A, B)=k9_subset_1(A, A, B)) ) ).
fof(ie7_fomodel0, axiom,  (! [A, B] : k6_subset_1(A, B)=k14_fomodel0(A, B)) ).
fof(ie8_fomodel0, axiom,  (! [A, B] : k15_fomodel0(A, B)=k13_fomodel0(B, A)) ).
fof(ie9_fomodel0, axiom,  (! [A, B] : k13_fomodel0(B, A)=k15_fomodel0(A, B)) ).
fof(l134_fomodel4, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (! [C] :  ( (v13_fomodel1(C, B) & m2_subset_1(C, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (! [D] :  ( (v13_fomodel1(D, B) & m2_subset_1(D, k3_finseq_2(k15_fomodel1(B)), k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))))  =>  (! [E] :  ( (v1_relat_1(E) &  (v1_funct_1(E) & v1_fomodel2(E, B, A)) )  =>  (k13_fomodel2(B, A, E, k42_fomodel1(B, k42_fomodel1(B, k43_fomodel1(B, k31_fomodel2(B)), C), D))=1 <=> k1_funct_1(k9_fomodel2(B, A, E), C)=k1_funct_1(k9_fomodel2(B, A, E), D)) ) ) ) ) ) ) ) ) ) ) ).
fof(l80_fomodel4, axiom,  (! [A] :  (! [B] :  (! [C] :  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  =>  (! [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k9_setfam_1(k1_fomodel4(C)), k1_fomodel4(C)))) =>  (r2_tarski(B, k1_funct_1(k23_fomodel4(C, D), A)) <=>  (r2_tarski(B, k1_fomodel4(C)) & r2_hidden(k4_tarski(A, B), D)) ) ) ) ) ) ) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(k1_int_2(A))=k1_int_2(A)) ) ).
fof(projectivity_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(k3_finseq_1(A))=k3_finseq_1(A)) ) ).
fof(projectivity_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k9_complex1(A))=k9_complex1(A)) ) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
fof(rc10_fomodel0, axiom,  (? [A] :  (v4_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_zfmisc_1(A) &  (v5_finset_1(A) & v4_finseq_1(A)) ) ) ) ) ).
fof(rc10_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (m1_subset_1(C, k15_fomodel2(A, B)) &  (v1_relat_1(C) &  (v4_relat_1(C, k37_fomodel1(A)) &  (v1_funct_1(C) &  (v1_funcop_1(C) &  (v2_funcop_1(C) & v1_fomodel2(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_fomodel0, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_setfam_1(B)) ) ) ) ) ).
fof(rc11_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  ( ~ (v8_ordinal1(C))  &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  ( ~ (v15_fomodel1(C, A))  &  (v3_fomodel2(C, A, B) &  (v4_fomodel2(C, A) &  ~ (v5_fomodel2(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc12_fomodel0, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v5_card_3(B)) ) ) ) ).
fof(rc12_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel1(A)) &  ( ~ (v4_fomodel1(B, A))  & v10_fomodel1(B, A)) ) ) ) ) ).
fof(rc12_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  ( ~ (v1_xboole_0(B))  &  (v4_funct_1(B) & v7_fomodel4(B, A)) ) ) ) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_fomodel0, axiom,  (? [A] :  (v1_xreal_0(A) &  (v1_int_1(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xcmplx_0(A)) ) ) ) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc14_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc14_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_partit_2(A)) ) ) ) ).
fof(rc14_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(B))  &  ( ( ~ (v6_struct_0(C))  &  (v11_fomodel1(C) & l1_fomodel1(C)) )  & m1_subset_1(D, k15_fomodel2(C, B))) )  =>  (? [E] :  (m1_subset_1(E, k1_zfmisc_1(A)) & v10_fomodel2(E, B, C, D)) ) ) ) ).
fof(rc15_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v4_fomodel0(A)) ) ) ) ).
fof(rc15_fomodel2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  & m1_subset_1(C, k15_fomodel2(B, A))) )  =>  (? [D] : v10_fomodel2(D, A, B, C)) ) ) ).
fof(rc16_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v6_valued_0(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc16_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc16_fomodel2, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) & v12_fomodel2(C, A)) ) ) ) ).
fof(rc17_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, A) &  (v2_funct_2(B, A) &  (v3_funct_2(B, A, A) &  (v3_relat_2(B) &  (v2_abian(B) & v4_fomodel0(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc17_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k9_setfam_1(k1_fomodel4(A))) &  (v5_relat_1(B, k9_setfam_1(k1_fomodel4(A))) &  (v1_funct_1(B) &  (v1_partfun1(B, k9_setfam_1(k1_fomodel4(A))) &  (v1_funct_2(B, k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) & v16_fomodel4(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc18_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v3_relat_2(A) & v2_abian(A)) ) ) ) ) ).
fof(rc19_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) &  ~ (v2_abian(A)) ) ) ) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ).
fof(rc1_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(rc1_finseq_2, axiom,  (! [A] :  (? [B] :  (m1_finseq_2(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ).
fof(rc1_fomodel0, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k2_zfmisc_1(A, A)) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, k2_zfmisc_1(A, A)) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & v2_binop_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(rc1_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) ) ) ).
fof(rc1_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel4(A)) &  (v1_xtuple_0(B) & v1_fomodel4(B, A)) ) ) ) ) ).
fof(rc1_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ).
fof(rc1_funct_1, axiom,  (? [A] :  (v1_relat_1(A) & v1_funct_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_funct_7, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_funcop_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ) ).
fof(rc1_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_margrel1, axiom,  (? [A] :  (v4_finseq_1(A) & v2_card_3(A)) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_partfun1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ) ).
fof(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_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xtuple_0, axiom,  (? [A] : v1_xtuple_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc1_zfmisc_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ).
fof(rc20_fomodel0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_xboole_0(A) & v5_fomodel0(A)) ) ) ) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(rc2_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(rc2_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(rc2_fomodel2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ~ (v1_xboole_0(C)) ) )  =>  (? [D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k9_funct_2(B, C)))) &  ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, A) &  (v5_relat_1(D, k9_funct_2(B, C)) &  (v1_funct_1(D) &  (v1_partfun1(D, A) &  (v1_funct_2(D, A, k9_funct_2(B, C)) &  (v1_funcop_1(D) & v2_funcop_1(D)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k1_fomodel4(A))) &  (v1_relat_1(B) & v2_fomodel4(B, A)) ) ) ) ) ).
fof(rc2_funcop_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc2_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ).
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_funct_7, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) & v1_funct_7(A)) ) ) ) ) ) ) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_margrel1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_margrel1(A)) ) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_partfun1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_relat_2(B) &  (v3_relat_2(B) &  (v4_relat_2(B) &  (v8_relat_2(B) & v1_partfun1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_xboole_0(B)) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_zfmisc_1, axiom,  (? [A] :  ~ (v1_zfmisc_1(A)) ) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v2_card_3(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_fomodel0, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  (v1_funct_1(B) &  (v1_funct_2(B, k2_zfmisc_1(A, A), A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, A), A)))) ) )  =>  (? [C] : v2_fomodel0(C, A, B)) ) ) ).
fof(rc3_fomodel1, axiom,  (? [A] :  (l1_fomodel1(A) &  ~ (v6_struct_0(A)) ) ) ).
fof(rc3_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) ) ) )  =>  (? [D] :  (v1_relat_1(D) &  (v1_funct_1(D) & v2_fomodel2(D, A, B, C)) ) ) ) ) ).
fof(rc3_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] : v1_fomodel4(B, A)) ) ) ).
fof(rc3_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v3_funct_1(C) &  (v1_partfun1(C, A) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_partfun1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  ~ (v1_xboole_0(C)) ) ) ) ) ) ) ) ) ).
fof(rc3_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(rc3_subset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_subset_1(B, A)) ) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_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_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] : v3_fomodel0(B, A)) ) ) ).
fof(rc4_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & v7_ordinal1(B))  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  ( ~ (v8_ordinal1(C))  &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) & v3_fomodel2(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_fomodel3, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v2_funct_2(C, B)) ) ) ) ) ) ) ).
fof(rc4_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] : v2_fomodel4(B, A)) ) ) ).
fof(rc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ) ).
fof(rc4_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(rc4_margrel1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v2_margrel1(A)) ) ) ) ).
fof(rc4_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_card_3, axiom,  (? [A] : v5_card_3(A)) ).
fof(rc5_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(rc5_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel1(A)) & v7_fomodel1(B, A)) ) ) ) ).
fof(rc5_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  ( ~ (v8_ordinal1(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) & v4_fomodel2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_fomodel3, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) & v2_funct_2(B, A)) ) ) ) ) ).
fof(rc5_fomodel4, axiom,  (! [A, B] :  ( ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) )  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(A)) & v3_fomodel4(C, B)) ) ) ) ).
fof(rc5_funcop_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) ) ) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(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_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_finset_1(A)) ) ) ) ).
fof(rc6_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(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_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel1(A)) & v4_fomodel1(B, A)) ) ) ) ).
fof(rc6_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  ( ~ (v8_ordinal1(C))  &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v3_fomodel2(C, A, B) &  (v4_fomodel2(C, A) & v5_fomodel2(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] : v3_fomodel4(B, A)) ) ) ).
fof(rc6_funct_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
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_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(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_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel1(A)) & v10_fomodel1(B, A)) ) ) ) ).
fof(rc7_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v1_funct_1(C) &  ( ~ (v8_ordinal1(C))  &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  ( ~ (v15_fomodel1(C, A))  &  (v3_fomodel2(C, A, B) &  (v4_fomodel2(C, A) & v5_fomodel2(C, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A)))) &  (v1_relat_1(B) &  (v4_relat_1(B, k9_setfam_1(k1_fomodel4(A))) &  (v5_relat_1(B, k9_setfam_1(k1_fomodel4(A))) &  (v1_funct_1(B) &  (v1_partfun1(B, k9_setfam_1(k1_fomodel4(A))) &  (v1_funct_2(B, k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))) & v6_fomodel4(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc7_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(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_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, A) &  (v1_partfun1(B, A) & v1_relat_2(B)) ) ) ) ) ) ) ) ).
fof(rc8_fomodel1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  ( ~ (v6_struct_0(B))  &  (v11_fomodel1(B) & l1_fomodel1(B)) ) )  =>  (? [C] :  (m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(B)), k1_tarski(k1_xboole_0))) &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  ( ~ (v1_xboole_0(C))  &  ( ~ (v8_ordinal1(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_finseq_1(C) &  (v2_finseq_1(C) &  (v4_card_3(C) & v14_fomodel1(C, A, B)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  ( ~ (v8_ordinal1(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  ( ~ (v15_fomodel1(B, A))  &  (v4_fomodel2(B, A) & v5_fomodel2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc8_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k9_funct_2(k9_setfam_1(k1_fomodel4(A)), k9_setfam_1(k1_fomodel4(A))))) &  (v4_funct_1(B) & v7_fomodel4(B, A)) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(rc9_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ).
fof(rc9_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  ( ~ (v1_xboole_0(B))  &  ( ~ (v8_ordinal1(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v4_card_3(B) & v15_fomodel1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc9_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] :  (m1_subset_1(B, k1_fomodel1(A)) &  ~ (v4_fomodel1(B, A)) ) ) ) ) ).
fof(rc9_fomodel4, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  =>  (? [B] : v12_fomodel4(B, A)) ) ) ).
fof(rc9_funct_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd1_card_1, axiom,  (! [A] :  (v1_card_1(A) => k1_card_1(A)=A) ) ).
fof(rd1_fomodel0, axiom,  (! [A, B] : k13_fomodel0(B, A)=A) ).
fof(rd1_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => k1_funct_1(k2_funcop_1(A, B), C)=B) ) ).
fof(rd1_funct_1, axiom,  (! [A, B] :  (m1_subset_1(B, A) => k1_funct_1(k4_relat_1(A), B)=B) ) ).
fof(rd1_relat_1, axiom,  (! [A] : k9_xtuple_0(k4_relat_1(A))=A) ).
fof(rd1_xtuple_0, axiom,  (! [A, B] : k1_xtuple_0(k4_tarski(A, B))=A) ).
fof(rd1_zfmisc_1, axiom,  (! [A] : k3_tarski(k1_tarski(A))=A) ).
fof(rd2_funcop_1, axiom,  (! [A, B] : k9_xtuple_0(k2_funcop_1(A, B))=A) ).
fof(rd2_relat_1, axiom,  (! [A] : k10_xtuple_0(k4_relat_1(A))=A) ).
fof(rd2_xtuple_0, axiom,  (! [A, B] : k2_xtuple_0(k4_tarski(A, B))=B) ).
fof(rd3_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_xtuple_0(k2_zfmisc_1(A, B))=A) ) ).
fof(rd3_xtuple_0, axiom,  (! [A] :  (v1_xtuple_0(A) => k4_tarski(k1_xtuple_0(A), k2_xtuple_0(A))=A) ) ).
fof(rd4_fomodel0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k10_xtuple_0(k2_zfmisc_1(B, A))=A) ) ).
fof(rd4_relat_1, axiom,  (! [A] :  (v1_relat_1(A) => k5_relat_1(A, k9_xtuple_0(A))=A) ) ).
fof(rd5_fomodel0, axiom,  (! [A, B] : k2_xboole_0(k6_subset_1(A, B), k3_xboole_0(A, B))=A) ).
fof(rd5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => k5_relat_1(k5_relat_1(A, B), B)=k5_relat_1(A, B)) ) ).
fof(rd6_fomodel0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A))))  => k1_relset_1(B, k5_relat_1(A, B))=B) ) ).
fof(rd7_fomodel0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_partit_2(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  => k1_funct_1(A, k1_funct_1(A, B))=B) ) ).
fof(rd8_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k7_relset_1(A, A, k6_partfun1(A), B)=B) ) ).
fof(rd8_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=B) ) ).
fof(redefinition_k10_fomodel0, axiom,  (! [A, B] : k10_fomodel0(A, B)=k4_funct_3(A, B)) ).
fof(redefinition_k11_fomodel2, axiom,  (! [A, B, C, D, E] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  ( (v1_relat_1(D) &  (v1_funct_1(D) & v2_fomodel2(D, A, B, C)) )  &  (v10_fomodel1(E, A) & m1_subset_1(E, k1_fomodel1(A))) ) ) ) )  => k11_fomodel2(A, B, C, D, E)=k1_funct_1(D, E)) ) ).
fof(redefinition_k12_fomodel0, axiom,  (! [A, B] : k12_fomodel0(A, B)=k3_xboole_0(A, B)) ).
fof(redefinition_k13_fomodel2, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  ( (v1_relat_1(C) &  (v1_funct_1(C) & v1_fomodel2(C, A, B)) )  &  (v15_fomodel1(D, A) & m1_subset_1(D, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) ) ) )  => k13_fomodel2(A, B, C, D)=k12_fomodel2(A, B, C, D)) ) ).
fof(redefinition_k15_fomodel1, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_fomodel1(A))  => k15_fomodel1(A)=k1_fomodel1(A)) ) ).
fof(redefinition_k15_fomodel2, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ~ (v1_xboole_0(B)) )  => k15_fomodel2(A, B)=k14_fomodel2(A, B)) ) ).
fof(redefinition_k17_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  & l1_fomodel1(A))  => k17_fomodel1(A)=k10_fomodel1(A)) ) ).
fof(redefinition_k18_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k18_fomodel1(A)=k7_fomodel1(A)) ) ).
fof(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_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k1_fomodel2(A)=k8_fomodel1(A)) ) ).
fof(redefinition_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(A)=k9_complex1(A)) ) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(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_k1_xfamily, axiom,  (! [A] : k1_xfamily(A)=k1_xtuple_0(A)) ).
fof(redefinition_k29_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k29_fomodel1(A)=k27_fomodel1(A)) ) ).
fof(redefinition_k2_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => k2_finseq_1(A)=k1_finseq_1(A)) ) ).
fof(redefinition_k2_xfamily, axiom,  (! [A] : k2_xfamily(A)=k2_xtuple_0(A)) ).
fof(redefinition_k30_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k30_fomodel2(A)=k26_fomodel2(A)) ) ).
fof(redefinition_k31_fomodel2, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k31_fomodel2(A)=k7_fomodel1(A)) ) ).
fof(redefinition_k35_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k35_fomodel1(A)=k27_fomodel1(A)) ) ).
fof(redefinition_k37_fomodel1, axiom,  (! [A] :  ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  => k37_fomodel1(A)=k9_fomodel1(A)) ) ).
fof(redefinition_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(A)=k1_card_1(A)) ) ).
fof(redefinition_k3_finseq_2, axiom,  (! [A] : k3_finseq_2(A)=k13_finseq_1(A)) ).
fof(redefinition_k3_fomodel0, axiom,  (! [A, B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k3_fomodel0(A, B)=k13_finseq_1(B)) ) ).
fof(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_k3_rfunct_3, axiom,  (! [A, B] : k3_rfunct_3(A, B)=k4_partfun1(A, B)) ).
fof(redefinition_k42_fomodel1, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  (m1_subset_1(B, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0))) & m1_subset_1(C, k6_subset_1(k3_finseq_2(k15_fomodel1(A)), k1_tarski(k1_xboole_0)))) )  => k42_fomodel1(A, B, C)=k7_finseq_1(B, C)) ) ).
fof(redefinition_k43_fomodel1, axiom,  (! [A, B] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  & m1_subset_1(B, k1_fomodel1(A)))  => k43_fomodel1(A, B)=k5_finseq_1(B)) ) ).
fof(redefinition_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, C)=k2_xboole_0(B, C)) ) ).
fof(redefinition_k5_lang1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  (m1_subset_1(C, k2_zfmisc_1(A, B)) & m1_subset_1(D, k2_zfmisc_1(A, B))) ) )  => k5_lang1(A, B, C, D)=k2_tarski(C, D)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
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_k6_partfun1, axiom,  (! [A] : k6_partfun1(A)=k4_relat_1(A)) ).
fof(redefinition_k6_subset_1, axiom,  (! [A, B] : k6_subset_1(A, B)=k4_xboole_0(A, 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_funcop_1, axiom,  (! [A, B] : k7_funcop_1(A, B)=k2_funcop_1(A, B)) ).
fof(redefinition_k7_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => k7_relset_1(A, B, C, D)=k7_relat_1(C, D)) ) ).
fof(redefinition_k7_subset_1, axiom,  (! [A, B, C] :  (m1_subset_1(B, k1_zfmisc_1(A)) => k7_subset_1(A, B, C)=k4_xboole_0(B, C)) ) ).
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_k9_fomodel0, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => k9_fomodel0(A)=k8_fomodel0(A)) ) ).
fof(redefinition_k9_funct_2, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => k9_funct_2(A, B)=k1_funct_2(A, B)) ) ).
fof(redefinition_k9_funct_3, axiom,  (! [A, B] : k9_funct_3(A, B)=k7_funct_3(A, B)) ).
fof(redefinition_k9_setfam_1, axiom,  (! [A] : k9_setfam_1(A)=k1_zfmisc_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_m2_fomodel2, axiom,  (! [A, B, C] :  ( ( ( ~ (v6_struct_0(A))  &  (v11_fomodel1(A) & l1_fomodel1(A)) )  &  ( ~ (v1_xboole_0(B))  &  (v10_fomodel1(C, A) & m1_subset_1(C, k1_fomodel1(A))) ) )  =>  (! [D] :  (m2_fomodel2(D, A, B, C) <=> m1_fomodel2(D, A, B, C)) ) ) ) ).
fof(redefinition_m2_funct_2, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_funct_2(C, A, B))  =>  (! [D] :  (m2_funct_2(D, A, B, C) <=> m1_subset_1(D, C)) ) ) ) ).
fof(redefinition_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
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(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom, k2_xcmplx_0(1, 2)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc3_boole, axiom,  ~ (v1_xboole_0(3)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=A) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t29_fomodel0, axiom,  (! [A] :  (! [B] :  ( (k5_xboole_0(B, A)=k1_xboole_0 => B=A)  &  ( (B=A => k5_xboole_0(B, A)=k1_xboole_0)  &  ( (k6_subset_1(B, A)=k1_xboole_0 => r1_tarski(B, A))  &  ( (r1_tarski(B, A) => k6_subset_1(B, A)=k1_xboole_0)  &  (! [C] :  (k6_subset_1(k1_tarski(C), A)=k1_xboole_0 <=> r2_hidden(C, A)) ) ) ) ) ) ) ) ).
fof(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(t3_boole, axiom,  (! [A] : k4_xboole_0(A, k1_xboole_0)=A) ).
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(t5_boole, axiom,  (! [A] : k5_xboole_0(A, k1_xboole_0)=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(t60_zfmisc_1, axiom,  (! [A] :  (! [B] :  (k4_xboole_0(k1_tarski(A), B)=k1_xboole_0 <=> r2_hidden(A, B)) ) ) ).
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)) ) ) ) ) ).
