% Mizar problem: t28_scmfsa9a,scmfsa9a,1291,5 
fof(t28_scmfsa9a, conjecture,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(B, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  (! [C] :  ( (v1_ami_2(C) &  ( ~ (v1_scmfsa_m(C))  & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, k1_scmfsa_2) &  (v4_compos_1(D, k1_scmfsa_2) &  (v5_amistd_1(D, k5_card_1(3), k1_scmfsa_2) & v6_amistd_1(D, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) )  =>  (r4_scmfsa9a(A, B, C, D) => r5_scmfsa7b(k4_scmfsa_x(C, D), B, A)) ) ) ) ) ) ) ) ) ).
fof(abstractness_v1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_extpro_1(B, A) => B=g1_extpro_1(A, u1_struct_0(B), u2_struct_0(B), u1_compos_1(B), u1_memstr_0(A, B), u2_memstr_0(A, B), u1_extpro_1(A, B))) ) ) ).
fof(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_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc10_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, B)) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) ) ) ) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc10_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ( ~ (v2_struct_0(A))  & v7_struct_0(A))  => v13_struct_0(A, 1)) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc11_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, 1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(B)) => v1_partfun1(C, A)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(B)) => v1_partfun1(C, A)) ) ) ) ).
fof(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_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_abian, axiom,  (! [A] :  (v2_setfam_1(A) => v1_zfmisc_1(A)) ) ).
fof(cc1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(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_compos_0, axiom,  (! [A] :  (v1_compos_0(A) => v1_relat_1(A)) ) ).
fof(cc1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_compos_1(B, A)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(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_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  ~ (v1_xboole_0(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_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_scmfsa6a, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_scmfsa_2)) =>  (v4_amistd_1(A, k5_card_1(3), k1_scmfsa_2) => v6_compos_0(A, u1_compos_1(k1_scmfsa_2))) ) ) ).
fof(cc1_scmfsa6b, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v6_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) ) ) ) ).
fof(cc1_scmfsa7b, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & v1_scmfsa7b(A)) ) ) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v1_scmfsa6b(A)) ) ) ) ) ) ) ) ) ).
fof(cc1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(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_compos_0, axiom,  (! [A] :  (v5_compos_0(A) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v4_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
fof(cc2_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funcop_1(A)) ) ) ) ).
fof(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_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (! [C] :  ( (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v4_memstr_0(C, A, B)) ) ) ) ) ) ) ) ).
fof(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_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_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(cc3_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc3_card_3, axiom,  (! [A] :  (v3_card_3(A) =>  (v4_funct_1(A) & v2_card_3(A)) ) ) ).
fof(cc3_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(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_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_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
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_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_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_3, axiom,  (! [A] :  (v5_card_3(A) =>  ( ~ (v1_finset_1(A))  & v4_card_3(A)) ) ) ).
fof(cc4_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v2_compos_1(B, A)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v4_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
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_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_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ) ).
fof(cc4_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_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v6_valued_0(A)) ) ) ) ) ) ) ).
fof(cc5_card_3, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v4_card_3(A))  => v5_card_3(A)) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(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_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  ~ (v8_struct_0(A)) ) ) ) ) ).
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_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_afinsq_1(A)) ) ) ) ).
fof(cc6_card_3, axiom,  (! [A] :  (v1_finset_1(A) => v4_card_3(A)) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_funct_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) ) ) ) ).
fof(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_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_0(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_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) ) ).
fof(cc7_card_3, axiom,  (! [A] :  (v4_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_card_3(B)) ) ) ) ).
fof(cc7_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finset_1(B)) ) ) ) ).
fof(cc7_funct_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_funct_1(A)) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_0(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_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ) ) ).
fof(cc8_card_3, axiom,  (! [A] :  (v2_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_card_3(B)) ) ) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(B)) ) ) ) ).
fof(cc8_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, A) =>  (v1_relat_1(B) & v1_funct_1(B)) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
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_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc9_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(A)) => v5_funct_1(B, A)) ) ) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
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_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(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_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d10_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => k2_compos_1(A)=k9_compos_0(u1_compos_1(A))) ) ).
fof(d16_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => k4_compos_1(A)=k3_afinsq_1(k2_compos_1(A))) ) ).
fof(d1_afinsq_1, axiom,  (! [A] : k3_afinsq_1(A)=k17_funcop_1(k5_numbers, A)) ).
fof(d1_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  => k1_scmfsa6a(A)=k8_funct_4(A, k2_compos_1(k1_scmfsa_2), k11_scmfsa_2(k4_card_1(A)))) ) ).
fof(d22_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => k6_compos_1(A, B, C)=k61_valued_1(k5_compos_1(A, B, C), C)) ) ) ) ) ) ).
fof(d23_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  => k7_compos_1(A, B, C)=k1_funct_4(k63_valued_1(B), k6_compos_1(A, C, k7_nat_d(k4_card_1(B), 1)))) ) ) ) ) ) ).
fof(d24_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) )  => k10_compos_1(A, B)=k1_ordinal4(B, k4_compos_1(A))) ) ) ) ).
fof(d25_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) => k11_compos_1(A, B)=k10_compos_1(A, k9_compos_1(A, B))) ) ) ) ).
fof(d2_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A)))  => k2_compos_2(A, B, C)=k8_compos_1(A, B, k11_compos_1(A, C))) ) ) ) ) ) ).
fof(d2_funcop_1, axiom,  (! [A] :  (! [B] : k2_funcop_1(A, B)=k2_zfmisc_1(A, k1_tarski(B))) ) ).
fof(d2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) => k2_memstr_0(A, B)=k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))) ) ) ) ).
fof(d2_scmfsa_x, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) )  => k2_scmfsa_x(A, B)=k2_scmfsa6a(k2_scmfsa6a(k3_scmfsa6a(k13_scmfsa_2(3, A), k1_scmfsa8a(k1_nat_1(k4_card_1(B), 1))), B), k4_compos_1(k1_scmfsa_2))) ) ) ) ).
fof(d3_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  => k2_scmfsa6a(A, B)=k7_compos_1(k1_scmfsa_2, k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A)), B)) ) ) ) ).
fof(d4_scmfsa6a, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_scmfsa_2)) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  => k3_scmfsa6a(A, B)=k2_scmfsa6a(k11_compos_1(k1_scmfsa_2, A), B)) ) ) ) ).
fof(d4_scmfsa9a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(B, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  (! [C] :  ( (v1_ami_2(C) &  ( ~ (v1_scmfsa_m(C))  & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, k1_scmfsa_2) & v4_compos_1(D, k1_scmfsa_2)) ) ) ) ) ) ) )  =>  (r3_scmfsa9a(A, B, C, D) <=>  (! [E] :  (v7_ordinal1(E) =>  ( ~ (r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3), k1_scmfsa_2)), k2_scmfsa_9(B, D, C, A), E), C), k5_numbers))  => r5_scmfsa7b(D, k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3), k1_scmfsa_2)), k2_scmfsa_9(B, D, C, A), E), k1_funct_4(A, k4_scmfsa_x(C, D)))) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d4_scmfsa_x, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) )  => k4_scmfsa_x(A, B)=k1_funct_7(k2_scmfsa_x(A, k2_compos_2(k1_scmfsa_2, B, k11_scmfsa_2(k5_numbers))), k1_nat_1(k4_card_1(B), 2), k11_scmfsa_2(k5_numbers))) ) ) ) ).
fof(d5_scmfsa9a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(B, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  (! [C] :  ( (v1_ami_2(C) &  ( ~ (v1_scmfsa_m(C))  & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, k1_scmfsa_2) & v4_compos_1(D, k1_scmfsa_2)) ) ) ) ) ) ) )  =>  (r4_scmfsa9a(A, B, C, D) <=>  (? [E] :  ( (v1_funct_1(E) &  (v1_funct_2(E, k4_card_3(k2_memstr_0(k5_card_1(3), k1_scmfsa_2)), k4_ordinal1) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(k4_card_3(k2_memstr_0(k5_card_1(3), k1_scmfsa_2)), k4_ordinal1)))) )  &  (! [F] :  (v7_ordinal1(F) =>  ~ ( (r1_xxreal_0(k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3), k1_scmfsa_2)), k4_ordinal1, E, k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3), k1_scmfsa_2)), k2_scmfsa_9(B, D, C, A), F)), k3_funct_2(k4_card_3(k2_memstr_0(k5_card_1(3), k1_scmfsa_2)), k4_ordinal1, E, k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3), k1_scmfsa_2)), k2_scmfsa_9(B, D, C, A), k1_nat_1(F, 1)))) &  ~ (r1_xxreal_0(k1_funct_1(k8_nat_1(k4_card_3(k2_memstr_0(k5_card_1(3), k1_scmfsa_2)), k2_scmfsa_9(B, D, C, A), F), C), k5_numbers)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d9_funcop_1, axiom,  (! [A] :  (! [B] : k17_funcop_1(A, B)=k7_funcop_1(k1_tarski(A), B)) ) ).
fof(dt_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (v1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A) & l1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A)) ) ) ).
fof(dt_k10_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) & v1_finset_1(k10_compos_1(A, B))) ) ) ) ) ) ).
fof(dt_k11_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  =>  (v1_relat_1(k11_compos_1(A, B)) &  (v4_relat_1(k11_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k11_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k11_compos_1(A, B)) & v1_finset_1(k11_compos_1(A, B))) ) ) ) ) ) ).
fof(dt_k11_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k11_scmfsa_2(A), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_k13_scmfsa_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => m1_subset_1(k13_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_k17_funcop_1, axiom, $true).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
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_funct_7, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k1_funct_7(A, B, C)) & v1_funct_1(k1_funct_7(A, B, C))) ) ) ).
fof(dt_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_ordinal4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v5_ordinal1(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v5_ordinal1(k1_ordinal4(A, B)) & v1_funct_1(k1_ordinal4(A, B))) ) ) ) ).
fof(dt_k1_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(k1_scmfsa6a(A)) &  (v4_relat_1(k1_scmfsa6a(A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa6a(A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa6a(A)) & v1_finset_1(k1_scmfsa6a(A))) ) ) ) ) ) ).
fof(dt_k1_scmfsa8a, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v1_xboole_0(k1_scmfsa8a(A)))  &  (v1_relat_1(k1_scmfsa8a(A)) &  (v4_relat_1(k1_scmfsa8a(A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa8a(A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa8a(A)) &  (v1_finset_1(k1_scmfsa8a(A)) & v1_afinsq_1(k1_scmfsa8a(A))) ) ) ) ) ) ) ) ).
fof(dt_k1_scmfsa_2, axiom,  (v1_extpro_1(k1_scmfsa_2, k5_card_1(3)) & l1_extpro_1(k1_scmfsa_2, k5_card_1(3))) ).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xreal_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => m1_subset_1(k2_compos_1(A), u1_compos_1(A))) ) ).
fof(dt_k2_compos_2, axiom,  (! [A, B, C] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  &  (v6_compos_0(C, u1_compos_1(A)) & m1_subset_1(C, u1_compos_1(A))) ) )  =>  ( ~ (v1_xboole_0(k2_compos_2(A, B, C)))  &  (v1_relat_1(k2_compos_2(A, B, C)) &  (v4_relat_1(k2_compos_2(A, B, C), k4_ordinal1) &  (v5_relat_1(k2_compos_2(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k2_compos_2(A, B, C)) &  (v1_finset_1(k2_compos_2(A, B, C)) &  (v1_afinsq_1(k2_compos_2(A, B, C)) &  (v3_compos_1(k2_compos_2(A, B, C), A) & v4_compos_1(k2_compos_2(A, B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k2_funcop_1, axiom, $true).
fof(dt_k2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ).
fof(dt_k2_scmfsa6a, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) )  =>  (v1_relat_1(k2_scmfsa6a(A, B)) &  (v4_relat_1(k2_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k2_scmfsa6a(A, B)))  &  (v1_funct_1(k2_scmfsa6a(A, B)) &  (v1_finset_1(k2_scmfsa6a(A, B)) & v1_afinsq_1(k2_scmfsa6a(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k2_scmfsa_9, axiom,  (! [A, B, C, D] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(A, u1_struct_0(k1_scmfsa_2))) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) )  &  ( (v1_ami_2(C) &  ( ~ (v1_scmfsa_m(C))  & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) )  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) ) ) ) ) )  =>  (v1_funct_1(k2_scmfsa_9(A, B, C, D)) &  (v1_funct_2(k2_scmfsa_9(A, B, C, D), k4_ordinal1, k4_card_3(k2_memstr_0(k5_card_1(3), k1_scmfsa_2))) & m1_subset_1(k2_scmfsa_9(A, B, C, D), k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_card_3(k2_memstr_0(k5_card_1(3), k1_scmfsa_2)))))) ) ) ) ).
fof(dt_k2_scmfsa_x, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k2_scmfsa_x(A, B)) &  (v4_relat_1(k2_scmfsa_x(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa_x(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k2_scmfsa_x(A, B)))  &  (v1_funct_1(k2_scmfsa_x(A, B)) &  (v1_finset_1(k2_scmfsa_x(A, B)) & v1_afinsq_1(k2_scmfsa_x(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_afinsq_1, axiom, $true).
fof(dt_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => m1_subset_1(k3_funct_2(A, B, C, D), B)) ) ).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_scmfsa6a, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) )  =>  (v1_relat_1(k3_scmfsa6a(A, B)) &  (v4_relat_1(k3_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k3_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k3_scmfsa6a(A, B)))  &  (v1_funct_1(k3_scmfsa6a(A, B)) &  (v1_finset_1(k3_scmfsa6a(A, B)) & v1_afinsq_1(k3_scmfsa6a(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => m1_subset_1(k4_card_1(A), k4_ordinal1)) ) ).
fof(dt_k4_card_3, axiom, $true).
fof(dt_k4_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) & v1_finset_1(k4_compos_1(A))) ) ) ) ) ) ).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_scmfsa_x, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k4_scmfsa_x(A, B)) &  (v4_relat_1(k4_scmfsa_x(A, B), k4_ordinal1) &  (v5_relat_1(k4_scmfsa_x(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k4_scmfsa_x(A, B)))  &  (v1_funct_1(k4_scmfsa_x(A, B)) &  (v1_finset_1(k4_scmfsa_x(A, B)) & v1_afinsq_1(k4_scmfsa_x(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k5_card_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k5_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k61_valued_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v7_ordinal1(B))  =>  (v1_relat_1(k61_valued_1(A, B)) & v1_funct_1(k61_valued_1(A, B))) ) ) ).
fof(dt_k63_valued_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_relat_1(k63_valued_1(A)) & v1_funct_1(k63_valued_1(A))) ) ) ).
fof(dt_k6_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k6_compos_1(A, B, C)) &  (v4_relat_1(k6_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k6_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k6_compos_1(A, B, C)) & v1_finset_1(k6_compos_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k6_ordinal1, axiom, $true).
fof(dt_k7_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) & v1_finset_1(k7_compos_1(A, B, C))) ) ) ) ) ) ).
fof(dt_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_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k7_nat_d(A, B), k4_ordinal1)) ) ).
fof(dt_k8_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k8_compos_1(A, B, C)))  &  (v1_relat_1(k8_compos_1(A, B, C)) &  (v4_relat_1(k8_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k8_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k8_compos_1(A, B, C)) &  (v1_finset_1(k8_compos_1(A, B, C)) &  (v1_afinsq_1(k8_compos_1(A, B, C)) &  (v3_compos_1(k8_compos_1(A, B, C), A) & v4_compos_1(k8_compos_1(A, B, C), A)) ) ) ) ) ) ) ) ) ) ).
fof(dt_k8_funct_4, axiom, $true).
fof(dt_k8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C))  => m1_subset_1(k8_nat_1(A, B, C), A)) ) ).
fof(dt_k9_compos_0, axiom,  (! [A] :  (v5_compos_0(A) => m1_subset_1(k9_compos_0(A), A)) ) ).
fof(dt_k9_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  =>  (v1_relat_1(k9_compos_1(A, B)) &  (v4_relat_1(k9_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k9_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k9_compos_1(A, B)) & v1_finset_1(k9_compos_1(A, B))) ) ) ) ) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_l1_compos_1, axiom, $true).
fof(dt_l1_extpro_1, axiom,  (! [A] :  (! [B] :  (l1_extpro_1(B, A) =>  (l1_memstr_0(B, A) & l1_compos_1(B)) ) ) ) ).
fof(dt_l1_memstr_0, axiom,  (! [A] :  (! [B] :  (l1_memstr_0(B, A) => l2_struct_0(B)) ) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_u1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_compos_0(u1_compos_1(A)) &  (v2_compos_0(u1_compos_1(A)) &  (v3_compos_0(u1_compos_1(A)) & v5_compos_0(u1_compos_1(A))) ) ) ) ) ).
fof(dt_u1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_funct_1(u1_extpro_1(A, B)) &  (v1_funct_2(u1_extpro_1(A, B), u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))))) & m1_subset_1(u1_extpro_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))))))) ) ) ) ).
fof(dt_u1_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_funct_1(u1_memstr_0(A, B)) &  (v1_funct_2(u1_memstr_0(A, B), u1_struct_0(B), A) & m1_subset_1(u1_memstr_0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), A)))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_relat_1(u2_memstr_0(A, B)) &  (v4_relat_1(u2_memstr_0(A, B), A) &  (v1_funct_1(u2_memstr_0(A, B)) & v1_partfun1(u2_memstr_0(A, B), A)) ) ) ) ) ).
fof(dt_u2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(u2_struct_0(A), u1_struct_0(A))) ) ).
fof(existence_l1_compos_1, axiom,  (? [A] : l1_compos_1(A)) ).
fof(existence_l1_extpro_1, axiom,  (! [A] :  (? [B] : l1_extpro_1(B, A)) ) ).
fof(existence_l1_memstr_0, axiom,  (! [A] :  (? [B] : l1_memstr_0(B, 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_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_card_3, axiom, v5_card_3(k4_ordinal1)).
fof(fc10_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) & v3_compos_1(C, A)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v3_compos_1(k7_compos_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(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_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(C, B)) &  (v4_relat_1(k1_funct_4(C, B), A) &  (v1_funct_1(k1_funct_4(C, B)) & v1_partfun1(k1_funct_4(C, B), A)) ) ) ) ) ).
fof(fc10_nat_1, axiom,  (! [A, B] :  (v3_ordinal1(A) => v5_ordinal1(k2_funcop_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(fc11_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) & v4_compos_1(C, A)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v4_compos_1(k7_compos_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(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_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v5_relat_1(k1_funct_4(B, C), A) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(fc11_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc11_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v2_extpro_1(k11_scmfsa_2(A), k5_card_1(3), k1_scmfsa_2)) ) ) ).
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(fc12_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k10_compos_1(A, B)))  &  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) &  (v1_finset_1(k10_compos_1(A, B)) & v1_afinsq_1(k10_compos_1(A, B))) ) ) ) ) ) ) ) ).
fof(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_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_funct_1(B, A)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, A)) ) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v1_funct_1(k1_funct_4(B, C)) & v5_funct_1(k1_funct_4(B, C), A)) ) ) ) ).
fof(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_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(fc13_card_3, axiom,  (! [A, B] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k2_funcop_1(A, B))) ) ) ).
fof(fc13_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  =>  ( ~ (v1_xboole_0(k11_compos_1(A, B)))  &  (v1_relat_1(k11_compos_1(A, B)) &  (v4_relat_1(k11_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k11_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k11_compos_1(A, B)) &  (v1_finset_1(k11_compos_1(A, B)) & v1_afinsq_1(k11_compos_1(A, B))) ) ) ) ) ) ) ) ).
fof(fc13_funcop_1, axiom,  (! [A, B] : v2_funct_1(k17_funcop_1(A, B))) ).
fof(fc13_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(A))) ) ).
fof(fc13_scmfsa6c, axiom,  (! [A] :  ( (v4_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & m1_subset_1(A, u1_compos_1(k1_scmfsa_2)))  =>  (v1_relat_1(k11_compos_1(k1_scmfsa_2, A)) &  (v4_relat_1(k11_compos_1(k1_scmfsa_2, A), k4_ordinal1) &  (v5_relat_1(k11_compos_1(k1_scmfsa_2, A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k11_compos_1(k1_scmfsa_2, A)) &  (v1_finset_1(k11_compos_1(k1_scmfsa_2, A)) & v5_amistd_1(k11_compos_1(k1_scmfsa_2, A), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ).
fof(fc13_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & v7_ordinal1(B))  =>  ~ (v2_extpro_1(k13_scmfsa_2(B, A), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc13_sfmastr1, axiom,  (! [A] :  ( (v1_sfmastr1(A) & m1_subset_1(A, u1_compos_1(k1_scmfsa_2)))  =>  (v1_relat_1(k11_compos_1(k1_scmfsa_2, A)) &  (v4_relat_1(k11_compos_1(k1_scmfsa_2, A), k4_ordinal1) &  (v5_relat_1(k11_compos_1(k1_scmfsa_2, A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k11_compos_1(k1_scmfsa_2, A)) &  (v1_finset_1(k11_compos_1(k1_scmfsa_2, A)) & v1_scmfsa7b(k11_compos_1(k1_scmfsa_2, 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_afinsq_1, axiom,  (! [A] : v3_card_1(k3_afinsq_1(A), 1)) ).
fof(fc14_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) &  (v1_finset_1(k4_compos_1(A)) & v3_compos_1(k4_compos_1(A), A)) ) ) ) ) ) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_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_funct_4, axiom,  (! [A, B] : v1_zfmisc_1(k17_funcop_1(A, B))) ).
fof(fc14_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k6_ordinal1(A))) ) ).
fof(fc14_scmfsa6c, axiom,  (! [A, B] :  ( ( (v4_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & m1_subset_1(A, u1_compos_1(k1_scmfsa_2)))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v5_amistd_1(B, k5_card_1(3), k1_scmfsa_2) & v6_amistd_1(B, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k3_scmfsa6a(A, B)))  &  (v1_relat_1(k3_scmfsa6a(A, B)) &  (v4_relat_1(k3_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k3_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k3_scmfsa6a(A, B)) &  (v1_finset_1(k3_scmfsa6a(A, B)) &  (v1_afinsq_1(k3_scmfsa6a(A, B)) &  (v5_amistd_1(k3_scmfsa6a(A, B), k5_card_1(3), k1_scmfsa_2) & v6_amistd_1(k3_scmfsa6a(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ) ).
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_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) & v1_funct_1(B)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, A)) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v1_funct_1(k1_funct_4(B, C)) &  ~ (v2_compos_1(k1_funct_4(B, C), A)) ) ) ) ) ).
fof(fc15_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k2_funcop_1(A, B))) ) ).
fof(fc15_sfmastr1, axiom,  (! [A, B] :  ( ( (v1_sfmastr1(A) & m1_subset_1(A, u1_compos_1(k1_scmfsa_2)))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v1_scmfsa7b(B)) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k3_scmfsa6a(A, B)))  &  (v1_relat_1(k3_scmfsa6a(A, B)) &  (v4_relat_1(k3_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k3_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k3_scmfsa6a(A, B)) &  (v1_finset_1(k3_scmfsa6a(A, B)) &  (v1_afinsq_1(k3_scmfsa6a(A, B)) & v1_scmfsa7b(k3_scmfsa6a(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc16_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k6_compos_1(A, B, C)) &  (v4_relat_1(k6_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k6_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k6_compos_1(A, B, C)) &  (v1_finset_1(k6_compos_1(A, B, C)) &  ~ (v2_compos_1(k6_compos_1(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(fc16_funcop_1, axiom,  (! [A, B] : v3_funct_1(k2_funcop_1(A, B))) ).
fof(fc17_afinsq_1, axiom,  (! [A, B] :  (v7_ordinal1(A) =>  (v5_ordinal1(k2_funcop_1(A, B)) & v1_finset_1(k2_funcop_1(A, B))) ) ) ).
fof(fc17_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v2_compos_1(B, A)) ) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) &  (v1_finset_1(k10_compos_1(A, B)) & v4_compos_1(k10_compos_1(A, B), A)) ) ) ) ) ) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
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_scmfsa6c, axiom,  (! [A, B] :  ( ( (v4_amistd_1(A, k5_card_1(3), k1_scmfsa_2) &  (v1_scmfsa6c(A) & m1_subset_1(A, u1_compos_1(k1_scmfsa_2))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v1_scmfsa6b(B) & v5_amistd_1(B, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k3_scmfsa6a(A, B)))  &  (v1_relat_1(k3_scmfsa6a(A, B)) &  (v4_relat_1(k3_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k3_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k3_scmfsa6a(A, B)) &  (v1_finset_1(k3_scmfsa6a(A, B)) &  (v1_afinsq_1(k3_scmfsa6a(A, B)) & v1_scmfsa6b(k3_scmfsa6a(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc18_abian, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v2_setfam_1(B))  &  ( (v2_relat_1(C) &  (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) ) )  & m1_subset_1(D, A)) ) )  =>  ~ (v1_xboole_0(k1_funct_1(C, D))) ) ) ).
fof(fc18_afinsq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v5_relat_1(k3_afinsq_1(B), A)) ) ).
fof(fc18_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  ~ (v2_compos_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) &  ~ (v2_compos_1(k7_compos_1(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(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(fc18_scmfsa_2, axiom,  (v1_extpro_1(k1_scmfsa_2, k5_card_1(3)) & v3_extpro_1(k1_scmfsa_2, k5_card_1(3))) ).
fof(fc19_abian, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  ~ (v2_setfam_1(k1_zfmisc_1(A))) ) ) ).
fof(fc19_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) &  (v1_finset_1(k10_compos_1(A, B)) & v3_compos_1(k10_compos_1(A, B), A)) ) ) ) ) ) ) ).
fof(fc19_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(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_struct_0, axiom,  (! [A, B] :  ( (v1_card_1(A) &  (v13_struct_0(B, A) & l1_struct_0(B)) )  => v3_card_1(u1_struct_0(B), A)) ) ).
fof(fc1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => v7_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc1_ami_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_setfam_1(k6_ordinal1(A))) ) ) ).
fof(fc1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  ( ~ (v1_xboole_0(k4_compos_1(A)))  &  (v1_zfmisc_1(k4_compos_1(A)) &  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) &  (v1_finset_1(k4_compos_1(A)) & v1_afinsq_1(k4_compos_1(A))) ) ) ) ) ) ) ) ) ).
fof(fc1_compos_2, axiom,  (! [A, B] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A))) )  =>  (v1_relat_1(k11_compos_1(A, B)) &  (v4_relat_1(k11_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k11_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k11_compos_1(A, B)) &  (v1_finset_1(k11_compos_1(A, B)) &  (v3_compos_1(k11_compos_1(A, B), A) & v4_compos_1(k11_compos_1(A, B), A)) ) ) ) ) ) ) ) ).
fof(fc1_finset_1, axiom,  (! [A] : v1_finset_1(k1_tarski(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_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_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  =>  (v1_relat_1(k1_scmfsa6a(A)) &  (v4_relat_1(k1_scmfsa6a(A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa6a(A), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k1_scmfsa6a(A)))  &  (v1_funct_1(k1_scmfsa6a(A)) &  (v1_finset_1(k1_scmfsa6a(A)) & v1_afinsq_1(k1_scmfsa6a(A))) ) ) ) ) ) ) ) ).
fof(fc1_scmfsa6b, axiom,  (v1_relat_1(k4_compos_1(k1_scmfsa_2)) &  (v4_relat_1(k4_compos_1(k1_scmfsa_2), k4_ordinal1) &  (v5_relat_1(k4_compos_1(k1_scmfsa_2), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k4_compos_1(k1_scmfsa_2)) &  (v1_finset_1(k4_compos_1(k1_scmfsa_2)) &  (v6_amistd_1(k4_compos_1(k1_scmfsa_2), k5_card_1(3), k1_scmfsa_2) & v1_scmfsa6b(k4_compos_1(k1_scmfsa_2))) ) ) ) ) ) ).
fof(fc1_scmfsa6c, axiom, v1_scmfsa6c(k2_compos_1(k1_scmfsa_2))).
fof(fc1_scmfsa8a, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v1_scmfsa7b(A)) ) ) ) ) ) )  =>  (v1_relat_1(k1_scmfsa6a(A)) &  (v4_relat_1(k1_scmfsa6a(A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa6a(A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa6a(A)) &  (v1_finset_1(k1_scmfsa6a(A)) & v1_scmfsa7b(k1_scmfsa6a(A))) ) ) ) ) ) ) ).
fof(fc1_scmfsa_2, axiom,  ( ~ (v2_struct_0(k1_scmfsa_2))  &  (v2_memstr_0(k1_scmfsa_2, k5_card_1(3)) & v1_extpro_1(k1_scmfsa_2, k5_card_1(3))) ) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_compos_0, axiom,  (! [A] :  ( (v1_compos_0(A) & v5_compos_0(A))  => v4_compos_0(k9_compos_0(A), A)) ) ).
fof(fc20_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_finset_1(k3_relat_1(B, A))) ) ) ).
fof(fc20_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k17_funcop_1(A, B))) ) ).
fof(fc20_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & v1_int_1(B))  =>  (v1_relat_1(k17_funcop_1(A, B)) &  (v4_relat_1(k17_funcop_1(A, B), u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(k17_funcop_1(A, B)) &  (v5_funct_1(k17_funcop_1(A, B), k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v4_memstr_0(k17_funcop_1(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ).
fof(fc21_finset_1, axiom,  (! [A, B] : v1_finset_1(k17_funcop_1(A, B))) ).
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(fc22_afinsq_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(k1_funct_7(A, B, C)) &  (v5_ordinal1(k1_funct_7(A, B, C)) &  (v1_funct_1(k1_funct_7(A, B, C)) & v1_finset_1(k1_funct_7(A, B, C))) ) ) ) ) ).
fof(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(fc23_afinsq_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  &  (m1_subset_1(C, k4_ordinal1) & m1_subset_1(D, A)) ) )  =>  (v1_relat_1(k1_funct_7(B, C, D)) &  (v5_relat_1(k1_funct_7(B, C, D), A) & v1_funct_1(k1_funct_7(B, C, D))) ) ) ) ).
fof(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_scmfsa10, axiom,  (v1_extpro_1(k1_scmfsa_2, k5_card_1(3)) & v3_amistd_1(k1_scmfsa_2, k5_card_1(3))) ).
fof(fc23_scmfsa6c, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v3_compos_1(A, k1_scmfsa_2) &  (v4_compos_1(A, k1_scmfsa_2) & v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) )  &  (v4_amistd_1(B, k5_card_1(3), k1_scmfsa_2) & m1_subset_1(B, u1_compos_1(k1_scmfsa_2))) )  =>  ( ~ (v1_xboole_0(k2_compos_2(k1_scmfsa_2, A, B)))  &  (v1_relat_1(k2_compos_2(k1_scmfsa_2, A, B)) &  (v4_relat_1(k2_compos_2(k1_scmfsa_2, A, B), k4_ordinal1) &  (v5_relat_1(k2_compos_2(k1_scmfsa_2, A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k2_compos_2(k1_scmfsa_2, A, B)) &  (v1_finset_1(k2_compos_2(k1_scmfsa_2, A, B)) &  (v1_afinsq_1(k2_compos_2(k1_scmfsa_2, A, B)) &  (v3_compos_1(k2_compos_2(k1_scmfsa_2, A, B), k1_scmfsa_2) &  (v4_compos_1(k2_compos_2(k1_scmfsa_2, A, B), k1_scmfsa_2) & v5_amistd_1(k2_compos_2(k1_scmfsa_2, A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ) ) ).
fof(fc24_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) )  =>  (v1_relat_1(k63_valued_1(A)) &  (v1_funct_1(k63_valued_1(A)) & v1_afinsq_1(k63_valued_1(A))) ) ) ) ).
fof(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_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(fc25_scmfsa10, axiom, v2_amistd_1(k2_compos_1(k1_scmfsa_2), k5_card_1(3), k1_scmfsa_2)).
fof(fc26_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) )  =>  (v1_relat_1(k63_valued_1(A)) &  (v1_funct_1(k63_valued_1(A)) & v1_afinsq_1(k63_valued_1(A))) ) ) ) ).
fof(fc26_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) => v6_compos_0(k11_scmfsa_2(A), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc27_scmfsa10, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v4_compos_0(k11_scmfsa_2(A), u1_compos_1(k1_scmfsa_2)))  &  (v2_amistd_1(k11_scmfsa_2(A), k5_card_1(3), k1_scmfsa_2) &  ~ (v4_amistd_1(k11_scmfsa_2(A), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ).
fof(fc28_scmfsa_2, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v6_compos_0(k13_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc2_card_3, axiom,  (! [A, B] :  (v1_card_1(B) => v1_card_3(k2_funcop_1(A, B))) ) ).
fof(fc2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) &  (v1_finset_1(k4_compos_1(A)) &  (v3_compos_1(k4_compos_1(A), A) & v4_compos_1(k4_compos_1(A), A)) ) ) ) ) ) ) ) ).
fof(fc2_compos_2, axiom,  (! [A, B] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v4_compos_1(B, A)) ) ) ) ) ) )  =>  (v1_relat_1(k63_valued_1(B)) &  (v1_funct_1(k63_valued_1(B)) & v2_compos_1(k63_valued_1(B), A)) ) ) ) ).
fof(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_scmfsa6a, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v3_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) )  =>  (v1_relat_1(k2_scmfsa6a(A, B)) &  (v4_relat_1(k2_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k2_scmfsa6a(A, B)))  &  (v1_funct_1(k2_scmfsa6a(A, B)) &  (v1_finset_1(k2_scmfsa6a(A, B)) &  (v1_afinsq_1(k2_scmfsa6a(A, B)) & v3_compos_1(k2_scmfsa6a(A, B), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ).
fof(fc2_scmfsa6b, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & v6_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v5_amistd_1(B, k5_card_1(3), k1_scmfsa_2) & v6_amistd_1(B, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k2_scmfsa6a(A, B)) &  (v4_relat_1(k2_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k2_scmfsa6a(A, B)))  &  (v1_funct_1(k2_scmfsa6a(A, B)) &  (v1_finset_1(k2_scmfsa6a(A, B)) &  (v1_afinsq_1(k2_scmfsa6a(A, B)) & v6_amistd_1(k2_scmfsa6a(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ).
fof(fc2_scmfsa6c, axiom,  (! [A] :  ( (v4_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & m1_subset_1(A, u1_compos_1(k1_scmfsa_2)))  =>  (v1_relat_1(k11_compos_1(k1_scmfsa_2, A)) &  (v4_relat_1(k11_compos_1(k1_scmfsa_2, A), k4_ordinal1) &  (v5_relat_1(k11_compos_1(k1_scmfsa_2, A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k11_compos_1(k1_scmfsa_2, A)) &  (v1_finset_1(k11_compos_1(k1_scmfsa_2, A)) & v6_amistd_1(k11_compos_1(k1_scmfsa_2, A), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ).
fof(fc2_scmfsa8a, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  =>  (v1_relat_1(k1_scmfsa6a(A)) &  (v4_relat_1(k1_scmfsa6a(A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa6a(A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa6a(A)) &  (v1_finset_1(k1_scmfsa6a(A)) & v1_afinsq_1(k1_scmfsa6a(A))) ) ) ) ) ) ) ).
fof(fc2_scmfsa_2, axiom,  (v1_extpro_1(k1_scmfsa_2, k5_card_1(3)) & v1_amistd_4(k1_scmfsa_2)) ).
fof(fc2_scmfsa_x, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v3_compos_1(A, k1_scmfsa_2) & v4_compos_1(A, k1_scmfsa_2)) ) ) ) ) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  (v1_relat_1(k4_scmfsa_x(B, A)) &  (v4_relat_1(k4_scmfsa_x(B, A), k4_ordinal1) &  (v5_relat_1(k4_scmfsa_x(B, A), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k4_scmfsa_x(B, A)))  &  (v1_funct_1(k4_scmfsa_x(B, A)) &  (v1_finset_1(k4_scmfsa_x(B, A)) &  (v1_afinsq_1(k4_scmfsa_x(B, A)) &  (v3_compos_1(k4_scmfsa_x(B, A), k1_scmfsa_2) & v4_compos_1(k4_scmfsa_x(B, A), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc30_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_tarski(A))) ) ).
fof(fc31_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc31_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & v7_ordinal1(B))  =>  ( ~ (v4_compos_0(k13_scmfsa_2(B, A), u1_compos_1(k1_scmfsa_2)))  &  (v2_amistd_1(k13_scmfsa_2(B, A), k5_card_1(3), k1_scmfsa_2) &  ~ (v4_amistd_1(k13_scmfsa_2(B, A), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ).
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(fc37_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k1_xreal_0(A, B))) ) ).
fof(fc38_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  ( ~ (v3_xxreal_0(k1_xreal_0(A, B)))  & v1_xreal_0(k1_xreal_0(A, B))) ) ) ).
fof(fc3_afinsq_1, axiom,  (! [A, B] :  (v7_ordinal1(A) =>  (v5_ordinal1(k2_funcop_1(k5_card_1(A), B)) & v1_finset_1(k2_funcop_1(k5_card_1(A), B))) ) ) ).
fof(fc3_card_3, axiom,  (! [A, B] :  (v1_card_1(B) => v1_card_3(k17_funcop_1(A, B))) ) ).
fof(fc3_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ).
fof(fc3_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) &  (v1_finset_1(k4_compos_1(A)) & v1_compos_2(k4_compos_1(A), A)) ) ) ) ) ) ) ).
fof(fc3_funcop_1, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k2_funcop_1(B, A))) ) ).
fof(fc3_funct_4, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k8_funct_4(A, B, C)) & v1_funct_1(k8_funct_4(A, B, C))) ) ) ).
fof(fc3_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v2_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ) ).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(k1_scmfsa6a(A)) &  (v4_relat_1(k1_scmfsa6a(A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa6a(A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa6a(A)) &  (v1_finset_1(k1_scmfsa6a(A)) & v2_compos_1(k1_scmfsa6a(A), k1_scmfsa_2)) ) ) ) ) ) ) ).
fof(fc3_scmfsa6b, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & v1_scmfsa6b(A)) ) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v5_amistd_1(B, k5_card_1(3), k1_scmfsa_2) & v1_scmfsa6b(B)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k2_scmfsa6a(A, B)) &  (v4_relat_1(k2_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k2_scmfsa6a(A, B)))  &  (v1_funct_1(k2_scmfsa6a(A, B)) &  (v1_finset_1(k2_scmfsa6a(A, B)) &  (v1_afinsq_1(k2_scmfsa6a(A, B)) & v1_scmfsa6b(k2_scmfsa6a(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc3_scmfsa8a, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v1_scmfsa7b(A)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v1_scmfsa7b(B)) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k2_scmfsa6a(A, B)))  &  (v1_relat_1(k2_scmfsa6a(A, B)) &  (v4_relat_1(k2_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k2_scmfsa6a(A, B)) &  (v1_finset_1(k2_scmfsa6a(A, B)) &  (v1_afinsq_1(k2_scmfsa6a(A, B)) & v1_scmfsa7b(k2_scmfsa6a(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc45_scmfsa10, axiom,  (v1_extpro_1(k1_scmfsa_2, k5_card_1(3)) & v2_amistd_2(k1_scmfsa_2, k5_card_1(3))) ).
fof(fc46_scmfsa10, axiom,  (v1_extpro_1(k1_scmfsa_2, k5_card_1(3)) & v4_amistd_2(k1_scmfsa_2, k5_card_1(3))) ).
fof(fc4_afinsq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k3_afinsq_1(A))) ) ).
fof(fc4_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k4_card_3(A))) ) ).
fof(fc4_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_xboole_0(k5_compos_1(A, B, C)) &  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc4_compos_2, axiom,  (! [A, B, C] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) &  (v4_compos_1(B, A) & v1_compos_2(B, A)) ) ) ) ) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k6_compos_1(A, B, C)) &  (v4_relat_1(k6_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k6_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k6_compos_1(A, B, C)) &  (v1_finset_1(k6_compos_1(A, B, C)) & v1_compos_2(k6_compos_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(fc4_extpro_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) )  => v2_extpro_1(k2_compos_1(B), A, B)) ) ).
fof(fc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k2_funcop_1(B, A))) ) ) ).
fof(fc4_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) &  ~ (v1_xboole_0(k1_funct_4(A, B))) ) ) ) ) ).
fof(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_scmfsa6a, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) )  =>  (v1_relat_1(k2_scmfsa6a(A, B)) &  (v4_relat_1(k2_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k2_scmfsa6a(A, B)))  &  (v1_funct_1(k2_scmfsa6a(A, B)) &  (v1_finset_1(k2_scmfsa6a(A, B)) &  (v1_afinsq_1(k2_scmfsa6a(A, B)) & v4_compos_1(k2_scmfsa6a(A, B), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ).
fof(fc4_scmfsa8a, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) =>  ( ~ (v1_xboole_0(k1_scmfsa8a(A)))  &  (v1_relat_1(k1_scmfsa8a(A)) &  (v4_relat_1(k1_scmfsa8a(A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa8a(A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa8a(A)) &  (v1_finset_1(k1_scmfsa8a(A)) &  (v1_afinsq_1(k1_scmfsa8a(A)) &  (v2_compos_1(k1_scmfsa8a(A), k1_scmfsa_2) & v1_scmfsa7b(k1_scmfsa8a(A))) ) ) ) ) ) ) ) ) ) ).
fof(fc4_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(A, u1_struct_0(k1_scmfsa_2))) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc4_scmfsa_x, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v3_compos_1(A, k1_scmfsa_2) &  (v4_compos_1(A, k1_scmfsa_2) & v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  (v1_relat_1(k2_scmfsa_x(B, A)) &  (v4_relat_1(k2_scmfsa_x(B, A), k4_ordinal1) &  (v5_relat_1(k2_scmfsa_x(B, A), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k2_scmfsa_x(B, A)))  &  (v1_funct_1(k2_scmfsa_x(B, A)) &  (v1_finset_1(k2_scmfsa_x(B, A)) &  (v1_afinsq_1(k2_scmfsa_x(B, A)) & v5_amistd_1(k2_scmfsa_x(B, A), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ).
fof(fc5_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_xboole_0(k4_card_3(A))) ) ) ).
fof(fc5_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k5_compos_1(A, B, C)))  &  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc5_compos_2, axiom,  (! [A, B, C] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) &  (v4_compos_1(B, A) & v1_compos_2(B, A)) ) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) &  (v4_compos_1(C, A) & v1_compos_2(C, A)) ) ) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v1_compos_2(k7_compos_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(fc5_funcop_1, axiom,  (! [A] : v3_relat_1(k2_funcop_1(A, k1_xboole_0))) ).
fof(fc5_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (v1_relat_1(k1_funct_4(B, A)) &  (v1_funct_1(k1_funct_4(B, A)) &  ~ (v1_xboole_0(k1_funct_4(B, A))) ) ) ) ) ).
fof(fc5_scmfsa7b, axiom,  (v1_relat_1(k4_compos_1(k1_scmfsa_2)) &  (v4_relat_1(k4_compos_1(k1_scmfsa_2), k4_ordinal1) &  (v5_relat_1(k4_compos_1(k1_scmfsa_2), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k4_compos_1(k1_scmfsa_2)) &  (v1_finset_1(k4_compos_1(k1_scmfsa_2)) &  (v6_amistd_1(k4_compos_1(k1_scmfsa_2), k5_card_1(3), k1_scmfsa_2) & v1_scmfsa7b(k4_compos_1(k1_scmfsa_2))) ) ) ) ) ) ).
fof(fc5_scmfsa8a, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_scmfsa7b(A)) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_scmfsa7b(B)) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_scmfsa7b(k1_funct_4(A, B))) ) ) ) ).
fof(fc5_scmfsa_2, axiom,  (v3_memstr_0(k1_scmfsa_2, k5_card_1(3)) & v1_extpro_1(k1_scmfsa_2, k5_card_1(3))) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc6_afinsq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v5_ordinal1(k1_ordinal4(A, B)) &  (v1_funct_1(k1_ordinal4(A, B)) & v1_finset_1(k1_ordinal4(A, B))) ) ) ) ) ).
fof(fc6_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) &  (v1_finset_1(k5_compos_1(A, B, C)) & v1_afinsq_1(k5_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc6_compos_2, axiom,  (! [A, B, C] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v2_compos_1(B, A)) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) & v2_compos_1(C, A)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(B, C)) &  (v1_funct_1(k1_ordinal4(B, C)) &  (v5_ordinal1(k1_ordinal4(B, C)) & v2_compos_1(k1_ordinal4(B, C), A)) ) ) ) ) ).
fof(fc6_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v2_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_scmfsa_x, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v3_compos_1(A, k1_scmfsa_2) &  (v4_compos_1(A, k1_scmfsa_2) & v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  (v1_relat_1(k4_scmfsa_x(B, A)) &  (v4_relat_1(k4_scmfsa_x(B, A), k4_ordinal1) &  (v5_relat_1(k4_scmfsa_x(B, A), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k4_scmfsa_x(B, A)))  &  (v1_funct_1(k4_scmfsa_x(B, A)) &  (v1_finset_1(k4_scmfsa_x(B, A)) &  (v1_afinsq_1(k4_scmfsa_x(B, A)) & v5_amistd_1(k4_scmfsa_x(B, A), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ).
fof(fc6_sfmastr1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_sfmastr1(k11_scmfsa_2(A))) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc7_afinsq_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(B, C)) &  (v5_relat_1(k1_ordinal4(B, C), A) &  (v5_ordinal1(k1_ordinal4(B, C)) & v1_funct_1(k1_ordinal4(B, C))) ) ) ) ) ).
fof(fc7_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_card_3(k1_tarski(A))) ) ).
fof(fc7_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k7_compos_1(A, B, C)))  &  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) & v1_finset_1(k7_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc7_compos_2, axiom,  (! [A, B] :  ( ( (v1_amistd_4(A) & l1_compos_1(A))  &  (v6_compos_0(B, u1_compos_1(A)) & m1_subset_1(B, u1_compos_1(A))) )  => v2_compos_1(k3_afinsq_1(B), A)) ) ).
fof(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_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_funcop_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_scmfsa6a, axiom,  (! [A, B] :  ( ( (v4_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & m1_subset_1(A, u1_compos_1(k1_scmfsa_2)))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k3_scmfsa6a(A, B)) &  (v4_relat_1(k3_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k3_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k3_scmfsa6a(A, B)))  &  (v1_funct_1(k3_scmfsa6a(A, B)) &  (v1_finset_1(k3_scmfsa6a(A, B)) &  (v1_afinsq_1(k3_scmfsa6a(A, B)) &  (v3_compos_1(k3_scmfsa6a(A, B), k1_scmfsa_2) & v4_compos_1(k3_scmfsa6a(A, B), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ) ).
fof(fc7_scmfsa_m, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(A, u1_struct_0(k1_scmfsa_2))) ) ) )  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  & v1_int_1(C)) )  =>  (v1_relat_1(k1_funct_7(A, B, C)) &  (v1_funct_1(k1_funct_7(A, B, C)) & v5_funct_1(k1_funct_7(A, B, C), k2_memstr_0(k5_card_1(3), k1_scmfsa_2))) ) ) ) ).
fof(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc8_afinsq_1, axiom,  (! [A] :  (v1_relat_1(k3_afinsq_1(A)) & v1_funct_1(k3_afinsq_1(A))) ) ).
fof(fc8_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v1_afinsq_1(k7_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc8_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v4_relat_1(k1_funct_4(B, C), A) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(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_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc8_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A))) &  (v4_relat_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A)), k4_ordinal1) &  (v5_relat_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A)), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A))) &  (v1_finset_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A))) & v5_amistd_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A)), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ).
fof(fc8_scmfsa_m, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & v7_ordinal1(B))  =>  (v1_relat_1(k17_funcop_1(A, B)) &  (v4_relat_1(k17_funcop_1(A, B), u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(k17_funcop_1(A, B)) &  (v5_funct_1(k17_funcop_1(A, B), k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v4_memstr_0(k17_funcop_1(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ).
fof(fc8_sfmastr1, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & m1_subset_1(B, k4_ordinal1))  => v1_sfmastr1(k13_scmfsa_2(B, A))) ) ).
fof(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc9_afinsq_1, axiom,  (! [A] :  (v5_ordinal1(k3_afinsq_1(A)) & v1_finset_1(k3_afinsq_1(A))) ) ).
fof(fc9_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v3_card_3(k4_card_3(A))) ) ).
fof(fc9_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k7_compos_1(A, B, C)))  &  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v1_afinsq_1(k7_compos_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(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_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v4_relat_1(k1_funct_4(B, C), A) &  (v1_funct_1(k1_funct_4(B, C)) & v1_partfun1(k1_funct_4(B, C), A)) ) ) ) ) ).
fof(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_scmfsa6a, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v5_amistd_1(B, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) )  =>  (v1_relat_1(k2_scmfsa6a(A, B)) &  (v4_relat_1(k2_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k2_scmfsa6a(A, B)))  &  (v1_funct_1(k2_scmfsa6a(A, B)) &  (v1_finset_1(k2_scmfsa6a(A, B)) &  (v1_afinsq_1(k2_scmfsa6a(A, B)) & v5_amistd_1(k2_scmfsa6a(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ).
fof(fc9_scmfsa6c, axiom,  (! [A] :  ( (v1_scmfsa6c(A) & m1_subset_1(A, u1_compos_1(k1_scmfsa_2)))  =>  (v1_relat_1(k11_compos_1(k1_scmfsa_2, A)) &  (v4_relat_1(k11_compos_1(k1_scmfsa_2, A), k4_ordinal1) &  (v5_relat_1(k11_compos_1(k1_scmfsa_2, A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k11_compos_1(k1_scmfsa_2, A)) &  (v1_finset_1(k11_compos_1(k1_scmfsa_2, A)) & v1_scmfsa6b(k11_compos_1(k1_scmfsa_2, A))) ) ) ) ) ) ) ).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
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(free_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (! [H, I, J, K, L, M, N] :  (g1_extpro_1(A, B, C, D, E, F, G)=g1_extpro_1(H, I, J, K, L, M, N) =>  (A=H &  (B=I &  (C=J &  (D=K &  (E=L &  (F=M & G=N) ) ) ) ) ) ) ) ) ) ).
fof(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(ie1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_card_1(A)=k9_xtuple_0(A)) ) ).
fof(ie2_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k9_xtuple_0(A)=k1_card_1(A)) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k1_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  => k1_scmfsa6a(k1_scmfsa6a(A))=k1_scmfsa6a(A)) ) ).
fof(projectivity_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(k4_card_1(A))=k4_card_1(A)) ) ).
fof(rc10_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  & v3_memstr_0(B, A)) ) ) ) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc1_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ).
fof(rc1_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ).
fof(rc1_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_compos_0(A)) ) ).
fof(rc1_compos_2, axiom,  (? [A] :  (l1_compos_1(A) & v1_amistd_4(A)) ) ).
fof(rc1_extpro_1, axiom,  (! [A] :  (? [B] :  (l1_extpro_1(B, A) & v1_extpro_1(B, A)) ) ) ).
fof(rc1_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_finset_1(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_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(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_scmfsa6a, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v5_ordinal1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v2_compos_1(A, k1_scmfsa_2)) ) ) ) ) ) ) ) ) ).
fof(rc1_scmfsa7b, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v3_compos_1(A, k1_scmfsa_2) &  (v4_compos_1(A, k1_scmfsa_2) &  (v6_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & v1_scmfsa7b(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_scmfsa8a, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v2_compos_1(A, k1_scmfsa_2) & v1_scmfsa7b(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc1_scmfsa8c, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  ( ~ (v2_compos_1(A, k1_scmfsa_2))  &  (v3_compos_1(A, k1_scmfsa_2) &  (v4_compos_1(A, k1_scmfsa_2) &  (v1_scmfsa6b(A) &  (v1_scmfsa7b(A) &  (v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & v6_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_scmfsa_2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_scmfsa_2)) & v1_ami_2(A)) ) ).
fof(rc1_scmfsa_m, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_ami_2(A) &  ~ (v1_scmfsa_m(A)) ) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc20_struct_0, axiom,  (? [A] :  (l2_struct_0(A) &  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ).
fof(rc21_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ( ~ (v1_xboole_0(B))  & v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc22_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_zfmisc_1(B)) ) ) ) ) ).
fof(rc23_struct_0, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (l1_struct_0(B) & v13_struct_0(B, A)) ) ) ) ).
fof(rc2_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finset_1(B)) ) ) ) ) ) ) ).
fof(rc2_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) ) ) ) ).
fof(rc2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v3_card_1(B, 1) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ).
fof(rc2_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (? [B] :  (m1_subset_1(B, u1_compos_1(A)) & v6_compos_0(B, u1_compos_1(A))) ) ) ) ).
fof(rc2_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(rc2_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
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_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_memstr_0(B, A) & v13_struct_0(B, 1)) ) ) ) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
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(rc3_afinsq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(rc3_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v2_card_3(A)) ) ) ).
fof(rc3_compos_0, axiom,  (? [A] :  (v1_compos_0(A) & v5_compos_0(A)) ) ).
fof(rc3_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  ( ~ (v2_compos_1(B, A))  &  (v3_compos_1(B, A) &  (v4_compos_1(B, A) & v1_compos_2(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  (v13_struct_0(B, 1) & v2_memstr_0(B, A)) ) ) ) ) ).
fof(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_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_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_memstr_0(B, A) & v2_memstr_0(B, 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_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_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) ) ) ) ).
fof(rc4_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_card_3(A)) ) ).
fof(rc4_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ).
fof(rc4_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_compos_2, axiom,  (! [A] :  ( (v1_amistd_4(A) & l1_compos_1(A))  =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) & v3_extpro_1(B, A)) ) ) ) ) ) ).
fof(rc4_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(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_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(rc4_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc4_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_afinsq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v6_valued_0(A)) ) ) ) ) ) ).
fof(rc5_card_3, axiom,  (? [A] : v5_card_3(A)) ).
fof(rc5_compos_0, axiom,  (! [A] :  ( (v1_compos_0(A) & v5_compos_0(A))  =>  (? [B] :  (m1_subset_1(B, A) & v4_compos_0(B, A)) ) ) ) ).
fof(rc5_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc5_extpro_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) )  =>  (? [C] :  (m1_subset_1(C, u1_compos_1(B)) & v2_extpro_1(C, A, B)) ) ) ) ).
fof(rc5_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  =>  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v5_funct_1(C, B) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(rc5_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_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (? [C] :  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) ) ) ) ).
fof(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_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_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_finset_1(A)) ) ) ) ).
fof(rc6_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ) ).
fof(rc6_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v7_struct_0(B) &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & v1_extpro_1(B, A)) ) ) ) ) ) ) ) ).
fof(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_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(rc7_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v7_struct_0(B) &  (v8_struct_0(B) &  (v13_struct_0(B, 1) &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v1_extpro_1(B, A) & v3_extpro_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(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_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_funct_1(A)) ) ).
fof(rc7_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) ) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_abian, axiom,  (! [A, B] :  ( ~ (v2_setfam_1(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v2_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ) ) ).
fof(rc8_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(rc8_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v1_extpro_1(B, A) & v3_extpro_1(B, A)) ) ) ) ) ) ) ) ).
fof(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_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (? [C] :  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v5_funct_1(C, B)) ) ) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(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_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_ordinal4(A, k1_xboole_0)=A) ) ).
fof(rd1_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  => k5_compos_1(A, B, k5_numbers)=B) ) ).
fof(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_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_xboole_0(B)) ) )  => k1_funct_4(B, A)=A) ) ).
fof(rd2_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_ordinal4(k1_xboole_0, A)=A) ) ).
fof(rd2_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & v7_ordinal1(B))  => k5_compos_1(A, k4_compos_1(A), B)=k4_compos_1(A)) ) ).
fof(rd2_funcop_1, axiom,  (! [A, B] : k9_xtuple_0(k2_funcop_1(A, B))=A) ).
fof(rd2_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_xboole_0(B)) ) )  => k1_funct_4(A, B)=A) ) ).
fof(rd3_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) ) )  => k8_compos_1(A, B, k4_compos_1(A))=B) ) ).
fof(rd4_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) ) )  => k8_compos_1(A, k4_compos_1(A), B)=B) ) ).
fof(rd4_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(k1_funct_4(A, B), B)=k1_funct_4(A, B)) ) ).
fof(rd5_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  => k6_compos_1(A, B, k5_numbers)=B) ) ).
fof(rd6_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  => k63_valued_1(k10_compos_1(A, B))=B) ) ).
fof(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_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_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(A)=k1_card_1(A)) ) ).
fof(redefinition_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => k5_card_1(A)=k6_ordinal1(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k7_funcop_1, axiom,  (! [A, B] : k7_funcop_1(A, B)=k2_funcop_1(A, B)) ).
fof(redefinition_k7_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k7_nat_d(A, B)=k1_xreal_0(A, B)) ) ).
fof(redefinition_k8_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, A) & v4_compos_1(C, A)) ) ) ) ) ) ) ) ) )  => k8_compos_1(A, B, C)=k7_compos_1(A, B, C)) ) ).
fof(redefinition_k8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(B) &  (v1_funct_2(B, k4_ordinal1, A) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) )  & v7_ordinal1(C))  => k8_nat_1(A, B, C)=k1_funct_1(B, C)) ) ).
fof(redefinition_k9_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  => k9_compos_1(A, B)=k3_afinsq_1(B)) ) ).
fof(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(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
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(t19_scmfsa7b, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  =>  (v6_amistd_1(A, k5_card_1(3), k1_scmfsa_2) <=>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(B, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  => r5_scmfsa7b(A, B, C)) ) ) ) ) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t27_scmfsa9a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(B, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  (! [C] :  ( (v1_ami_2(C) &  ( ~ (v1_scmfsa_m(C))  & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v3_compos_1(D, k1_scmfsa_2) &  (v4_compos_1(D, k1_scmfsa_2) & v5_amistd_1(D, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) )  =>  ( (r3_scmfsa9a(A, B, C, D) & r4_scmfsa9a(A, B, C, D))  => r5_scmfsa7b(k4_scmfsa_x(C, D), B, A)) ) ) ) ) ) ) ) ) ).
fof(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(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_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
