% Mizar problem: t14_sf_mastr,sf_mastr,397,5 
fof(t14_sf_mastr, conjecture,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(k1_scmfsa_2)) =>  ( ~ ( ( ~ (C=k6_scmfsa_2(A, B))  &  ( ~ (C=k7_scmfsa_2(A, B))  &  ( ~ (C=k8_scmfsa_2(A, B))  &  ( ~ (C=k9_scmfsa_2(A, B))  &  ~ (C=k10_scmfsa_2(A, B)) ) ) ) ) )  => k1_sf_mastr(C)=k5_scmfsa_m(A, B)) ) ) ) ) ) ) ).
fof(abstractness_v1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_extpro_1(B, A) => B=g1_extpro_1(A, u1_struct_0(B), u2_struct_0(B), u1_compos_1(B), u1_memstr_0(A, B), u2_memstr_0(A, B), u1_extpro_1(A, B))) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc16_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(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_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => v1_amistd_2(C, A, B)) ) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_compos_0, axiom,  (! [A] :  (v1_compos_0(A) => v1_relat_1(A)) ) ).
fof(cc1_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_finset_1(A)) ) ).
fof(cc1_finsub_1, axiom,  (! [A] :  (v4_finsub_1(A) =>  (v1_finsub_1(A) & v3_finsub_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_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(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) => v4_compos_0(C, u1_compos_1(B))) ) ) ) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(cc2_finset_1, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_finset_1(B)) ) ) ) ).
fof(cc2_finsub_1, axiom,  (! [A] :  ( (v1_finsub_1(A) & v3_finsub_1(A))  => v4_finsub_1(A)) ) ).
fof(cc2_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funcop_1(A)) ) ) ) ).
fof(cc2_funct_1, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) ) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_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_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc3_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v4_amistd_1(C, A, B) => v4_compos_0(C, u1_compos_1(B))) ) ) ) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(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_finsub_1, axiom,  (! [A] :  (! [B] :  (m1_subset_1(B, k5_finsub_1(A)) => v1_finset_1(B)) ) ) ).
fof(cc3_funcop_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc3_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_funct_1(B)) ) ) ) ).
fof(cc3_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(cc4_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v4_amistd_1(C, A, B) => v3_amistd_2(C, A, B)) ) ) ) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc4_finset_1, axiom,  (! [A] :  (v1_zfmisc_1(A) => v1_finset_1(A)) ) ).
fof(cc4_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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) => v3_amistd_2(C, A, B)) ) ) ) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_finset_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_zfmisc_1(A)) ) ) ).
fof(cc5_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(cc6_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v4_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) => v3_amistd_2(C, A, B)) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ).
fof(cc6_finset_1, axiom,  (! [A] :  (v1_xboole_0(A) => v5_finset_1(A)) ) ).
fof(cc6_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(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(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(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
fof(cc8_finset_1, axiom,  (! [A] :  (v5_finset_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_finset_1(B)) ) ) ) ).
fof(cc8_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(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_finset_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_finset_1(A)) ) ) ).
fof(cc9_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(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(B, A)) ).
fof(commutativity_k5_scmfsa_m, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => k5_scmfsa_m(A, B)=k5_scmfsa_m(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(d16_scmfsa_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  =>  (! [C] :  (m1_scmfsa_2(C) => k14_scmfsa_2(A, B, C)=k3_xtuple_0(9, k1_xboole_0, k11_finseq_1(A, C, B))) ) ) ) ) ) ).
fof(d17_scmfsa_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  =>  (! [C] :  (m1_scmfsa_2(C) => k15_scmfsa_2(A, B, C)=k3_xtuple_0(10, k1_xboole_0, k11_finseq_1(A, C, B))) ) ) ) ) ) ).
fof(d18_scmfsa_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  (m1_scmfsa_2(B) => k16_scmfsa_2(A, B)=k3_xtuple_0(11, k1_xboole_0, k10_finseq_1(A, B))) ) ) ) ).
fof(d19_scmfsa_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  (m1_scmfsa_2(B) => k17_scmfsa_2(A, B)=k3_xtuple_0(12, k1_xboole_0, k10_finseq_1(A, B))) ) ) ) ).
fof(d1_scmfsa_2, axiom, k1_scmfsa_2=g1_extpro_1(k5_card_1(3), k1_scmfsa_1, k10_subset_1(k4_ordinal1, k1_scmfsa_1), k2_scmfsa_i, k4_scmfsa_1, k5_scmfsa_1, k12_scmfsa_1)).
fof(d1_sf_mastr, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_scmfsa_2)) =>  (! [B] :  (m1_subset_1(B, k5_finsub_1(k2_scmfsa_2)) =>  ( (r2_tarski(k5_compos_0(u1_compos_1(k1_scmfsa_2), A), k3_enumset1(1, 2, 3, 4, 5)) =>  (B=k1_sf_mastr(A) <=>  (? [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmfsa_2)))  &  (? [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_scmfsa_2)))  &  ( ~ ( ( ~ (A=k6_scmfsa_2(C, D))  &  ( ~ (A=k7_scmfsa_2(C, D))  &  ( ~ (A=k8_scmfsa_2(C, D))  &  ( ~ (A=k9_scmfsa_2(C, D))  &  ~ (A=k10_scmfsa_2(C, D)) ) ) ) ) )  & B=k5_scmfsa_m(C, D)) ) ) ) ) ) )  &  ( ( (k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=7 | k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=8)  =>  (B=k1_sf_mastr(A) <=>  (? [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmfsa_2)))  &  (? [D] :  (v7_ordinal1(D) &  ( (A=k12_scmfsa_2(D, C) | A=k13_scmfsa_2(D, C))  & B=k4_scmfsa_m(C)) ) ) ) ) ) )  &  ( ( (k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=9 | k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=10)  =>  (B=k1_sf_mastr(A) <=>  (? [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmfsa_2)))  &  (? [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_scmfsa_2)))  &  (? [E] :  (m1_scmfsa_2(E) &  ( (A=k14_scmfsa_2(D, C, E) | A=k15_scmfsa_2(D, C, E))  & B=k5_scmfsa_m(C, D)) ) ) ) ) ) ) ) )  &  ( ( (k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=11 | k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=12)  =>  (B=k1_sf_mastr(A) <=>  (? [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmfsa_2)))  &  (? [D] :  (m1_scmfsa_2(D) &  ( (A=k16_scmfsa_2(C, D) | A=k17_scmfsa_2(C, D))  & B=k4_scmfsa_m(C)) ) ) ) ) ) )  &  ~ ( ( ~ (r2_tarski(k5_compos_0(u1_compos_1(k1_scmfsa_2), A), k3_enumset1(1, 2, 3, 4, 5)))  &  ( ~ (k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=7)  &  ( ~ (k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=8)  &  ( ~ (k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=9)  &  ( ~ (k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=10)  &  ( ~ (k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=11)  &  ( ~ (k5_compos_0(u1_compos_1(k1_scmfsa_2), A)=12)  &  ~ ( (B=k1_sf_mastr(A) <=> B=k1_xboole_0) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (F=k3_enumset1(A, B, C, D, E) <=>  (! [G] :  (r2_hidden(G, F) <=>  ~ ( ( ~ (G=A)  &  ( ~ (G=B)  &  ( ~ (G=C)  &  ( ~ (G=D)  &  ~ (G=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d5_finsub_1, axiom,  (! [A] :  (! [B] :  (v4_finsub_1(B) =>  (B=k5_finsub_1(A) <=>  (! [C] :  (r2_tarski(C, B) <=>  (r1_tarski(C, A) & v1_finset_1(C)) ) ) ) ) ) ) ).
fof(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_finseq_1, axiom, $true).
fof(dt_k10_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => m1_subset_1(k10_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), B)) ).
fof(dt_k11_finseq_1, axiom, $true).
fof(dt_k12_scmfsa_1, axiom,  (v1_funct_1(k12_scmfsa_1) &  (v1_funct_2(k12_scmfsa_1, k2_scmfsa_i, k1_funct_2(k4_card_3(k3_relat_1(k4_scmfsa_1, k5_scmfsa_1)), k4_card_3(k3_relat_1(k4_scmfsa_1, k5_scmfsa_1)))) & m1_subset_1(k12_scmfsa_1, k1_zfmisc_1(k2_zfmisc_1(k2_scmfsa_i, k1_funct_2(k4_card_3(k3_relat_1(k4_scmfsa_1, k5_scmfsa_1)), k4_card_3(k3_relat_1(k4_scmfsa_1, k5_scmfsa_1))))))) ) ).
fof(dt_k12_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(k12_scmfsa_2(A, B), 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_k14_scmfsa_2, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(C)) )  => m1_subset_1(k14_scmfsa_2(A, B, C), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_k15_scmfsa_2, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(C)) )  => m1_subset_1(k15_scmfsa_2(A, B, C), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_k16_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(B))  => m1_subset_1(k16_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_k17_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(B))  => m1_subset_1(k17_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_scmfsa_1, axiom, $true).
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_sf_mastr, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_scmfsa_2)) => m1_subset_1(k1_sf_mastr(A), k5_finsub_1(k2_scmfsa_2))) ) ).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_scm_inst, axiom, $true).
fof(dt_k2_scmfsa_2, axiom, m1_subset_1(k2_scmfsa_2, k1_zfmisc_1(u1_struct_0(k1_scmfsa_2)))).
fof(dt_k2_scmfsa_i, axiom,  ~ (v1_xboole_0(k2_scmfsa_i)) ).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_enumset1, axiom, $true).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_xtuple_0, axiom, $true).
fof(dt_k4_card_3, axiom, $true).
fof(dt_k4_compos_0, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_scmfsa_1, axiom,  (v1_funct_1(k4_scmfsa_1) &  (v1_funct_2(k4_scmfsa_1, k1_scmfsa_1, k5_card_1(3)) & m1_subset_1(k4_scmfsa_1, k1_zfmisc_1(k2_zfmisc_1(k1_scmfsa_1, k5_card_1(3))))) ) ).
fof(dt_k4_scmfsa_m, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  => m1_subset_1(k4_scmfsa_m(A), k1_zfmisc_1(k2_scmfsa_2))) ) ).
fof(dt_k4_xtuple_0, axiom, $true).
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_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k5_compos_0(A, B), k4_compos_0(A))) ) ).
fof(dt_k5_finsub_1, axiom,  (! [A] : v4_finsub_1(k5_finsub_1(A))) ).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_scmfsa_1, axiom,  (v1_relat_1(k5_scmfsa_1) &  (v4_relat_1(k5_scmfsa_1, k5_card_1(3)) &  (v1_funct_1(k5_scmfsa_1) & v1_partfun1(k5_scmfsa_1, k5_card_1(3))) ) ) ).
fof(dt_k5_scmfsa_m, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => m1_subset_1(k5_scmfsa_m(A, B), k1_zfmisc_1(k2_scmfsa_2))) ) ).
fof(dt_k6_ordinal1, axiom, $true).
fof(dt_k6_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => m1_subset_1(k6_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_k7_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => m1_subset_1(k7_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_k8_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => m1_subset_1(k8_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_k9_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => m1_subset_1(k9_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
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_scmfsa_2, axiom,  (! [A] :  (m1_scmfsa_2(A) => m1_subset_1(A, u1_struct_0(k1_scmfsa_2))) ) ).
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_scmfsa_2, axiom,  (? [A] : m1_scmfsa_2(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc10_finseq_1, axiom,  (! [A, B] : v1_finseq_1(k10_finseq_1(A, B))) ).
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_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  ~ (v2_extpro_1(k10_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc11_card_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k6_ordinal1(A))) ) ) ).
fof(fc11_finseq_1, axiom,  (! [A, B, C] : v1_finseq_1(k11_finseq_1(A, B, C))) ).
fof(fc11_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc12_nat_1, axiom,  (! [A, B] :  ( ( ~ (v8_ordinal1(A))  &  ~ (v8_ordinal1(B)) )  => v1_setfam_1(k2_tarski(A, B))) ) ).
fof(fc12_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(B, A))) ) ) ).
fof(fc12_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(k12_scmfsa_2(B, A), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc13_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(A))) ) ).
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(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc14_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k6_ordinal1(A))) ) ).
fof(fc14_scmfsa_2, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (m1_scmfsa_2(B) &  (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) ) )  =>  ~ (v2_extpro_1(k14_scmfsa_2(A, C, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc15_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v4_funct_1(k2_tarski(A, B))) ) ).
fof(fc15_nat_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ( ~ (v8_ordinal1(C))  &  ( ~ (v8_ordinal1(D))  &  ~ (v8_ordinal1(E)) ) ) ) )  => v1_setfam_1(k3_enumset1(A, B, C, D, E))) ) ).
fof(fc15_scmfsa10, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(C)) )  => v4_amistd_1(k14_scmfsa_2(A, B, C), k5_card_1(3), k1_scmfsa_2)) ) ).
fof(fc15_scmfsa_2, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (m1_scmfsa_2(B) &  (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) ) )  =>  ~ (v2_extpro_1(k15_scmfsa_2(A, C, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc16_card_1, axiom,  (! [A] : v3_card_1(k1_tarski(A), 1)) ).
fof(fc16_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v3_finseq_1(k1_tarski(A))) ) ).
fof(fc16_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(B))  =>  ~ (v2_extpro_1(k16_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc17_scmfsa10, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(C)) )  => v4_amistd_1(k15_scmfsa_2(A, B, C), k5_card_1(3), k1_scmfsa_2)) ) ).
fof(fc17_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(B))  =>  ~ (v2_extpro_1(k17_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
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_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k6_ordinal1(A))) ) ).
fof(fc19_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(B))  => v4_amistd_1(k16_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ).
fof(fc1_finset_1, axiom,  (! [A] : v1_finset_1(k1_tarski(A))) ).
fof(fc1_finsub_1, axiom,  (! [A] : v4_finsub_1(k1_zfmisc_1(A))) ).
fof(fc1_scm_inst, axiom,  ~ (v1_xboole_0(k2_scm_inst)) ).
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_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_card_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v10_ordinal1(k6_ordinal1(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(fc21_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(B))  => v4_amistd_1(k17_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ).
fof(fc21_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v6_compos_0(k6_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc22_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v6_compos_0(k7_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
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_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v6_compos_0(k8_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc24_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v6_compos_0(k9_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc25_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v6_compos_0(k10_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc26_finseq_1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k10_finseq_1(A, B))) ) ).
fof(fc27_finseq_1, axiom,  (! [A, B, C] :  ~ (v1_xboole_0(k11_finseq_1(A, B, C))) ) ).
fof(fc27_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(k12_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc28_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & v7_ordinal1(B))  => v1_amistd_1(k4_xtuple_0(k12_scmfsa_2(B, 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(fc29_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & v7_ordinal1(B))  => v1_amistd_1(k4_xtuple_0(k13_scmfsa_2(B, A)), k5_card_1(3), k1_scmfsa_2)) ) ).
fof(fc29_scmfsa_2, axiom,  (! [A, B, C] :  ( (m1_scmfsa_2(A) &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) ) )  => v6_compos_0(k14_scmfsa_2(C, B, A), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc2_compos_0, axiom, v1_compos_0(k1_tarski(k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))).
fof(fc2_finset_1, axiom,  (! [A, B] : v1_finset_1(k2_tarski(A, B))) ).
fof(fc2_finsub_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(k5_finsub_1(A)))  & v4_finsub_1(k5_finsub_1(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_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v4_amistd_1(k6_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ).
fof(fc2_scmfsa_2, axiom,  (v1_extpro_1(k1_scmfsa_2, k5_card_1(3)) & v1_amistd_4(k1_scmfsa_2)) ).
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(fc30_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & v7_ordinal1(B))  =>  ( ~ (v4_compos_0(k12_scmfsa_2(B, A), u1_compos_1(k1_scmfsa_2)))  &  (v2_amistd_1(k12_scmfsa_2(B, A), k5_card_1(3), k1_scmfsa_2) &  ~ (v4_amistd_1(k12_scmfsa_2(B, A), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ).
fof(fc30_scmfsa_2, axiom,  (! [A, B, C] :  ( (m1_scmfsa_2(A) &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) ) )  => v6_compos_0(k15_scmfsa_2(C, B, A), u1_compos_1(k1_scmfsa_2))) ) ).
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(fc31_scmfsa_2, axiom,  (! [A, B] :  ( (m1_scmfsa_2(A) &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v6_compos_0(k16_scmfsa_2(B, A), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc32_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v5_finset_1(k2_tarski(A, B))) ) ).
fof(fc32_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k6_scmfsa_2(A, B)), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc32_scmfsa_2, axiom,  (! [A, B] :  ( (m1_scmfsa_2(A) &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v6_compos_0(k17_scmfsa_2(B, A), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc33_finseq_1, axiom,  (! [A, B] : v3_card_1(k10_finseq_1(A, B), 2)) ).
fof(fc33_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k7_scmfsa_2(A, B)), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc34_finseq_1, axiom,  (! [A, B, C] : v3_card_1(k11_finseq_1(A, B, C), 3)) ).
fof(fc34_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k8_scmfsa_2(A, B)), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc35_finseq_1, axiom, v4_finseq_1(k1_tarski(k1_xboole_0))).
fof(fc35_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k9_scmfsa_2(A, B)), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc36_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k10_scmfsa_2(A, B)), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc37_scmfsa10, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(C)) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k14_scmfsa_2(B, A, C)), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc38_scmfsa10, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(C)) )  =>  ~ (v1_amistd_1(k4_xtuple_0(k15_scmfsa_2(B, A, C)), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc39_scmfsa10, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(C)) )  =>  ~ (v2_amistd_1(k14_scmfsa_2(B, A, C), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc3_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v4_amistd_1(k7_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ).
fof(fc3_xboole_0, axiom,  (! [A, B] :  ~ (v1_xboole_0(k2_tarski(A, B))) ) ).
fof(fc40_scmfsa10, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(C)) )  =>  ~ (v2_amistd_1(k15_scmfsa_2(B, A, C), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc41_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(B))  =>  ~ (v1_amistd_1(k4_xtuple_0(k16_scmfsa_2(A, B)), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc42_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(B))  =>  ~ (v1_amistd_1(k4_xtuple_0(k17_scmfsa_2(A, B)), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc43_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(B))  =>  ~ (v2_amistd_1(k16_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc44_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & m1_scmfsa_2(B))  =>  ~ (v2_amistd_1(k17_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
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_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v4_amistd_1(k8_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ).
fof(fc5_finset_1, axiom,  (! [A, B, C, D, E] : v1_finset_1(k3_enumset1(A, B, C, D, E))) ).
fof(fc5_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v4_amistd_1(k9_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ).
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(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_scmfsa10, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v4_amistd_1(k10_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ).
fof(fc6_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  ~ (v2_extpro_1(k6_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  => v7_ordinal1(k4_xtuple_0(B))) ) ).
fof(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_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  ~ (v2_extpro_1(k7_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc8_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  =>  ~ (v1_xboole_0(k4_compos_0(A))) ) ) ).
fof(fc8_finseq_1, axiom,  (! [A, B] :  (v1_relat_1(k10_finseq_1(A, B)) & v1_funct_1(k10_finseq_1(A, B))) ) ).
fof(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_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  ~ (v2_extpro_1(k8_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_finseq_1, axiom,  (! [A, B, C] :  (v1_relat_1(k11_finseq_1(A, B, C)) & v1_funct_1(k11_finseq_1(A, B, C))) ) ).
fof(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_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  ~ (v2_extpro_1(k9_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
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(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
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_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc10_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc14_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc1_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & v3_amistd_1(B, A)) ) ) ) ) ) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_compos_0(A)) ) ).
fof(rc1_extpro_1, axiom,  (! [A] :  (? [B] :  (l1_extpro_1(B, A) & v1_extpro_1(B, A)) ) ) ).
fof(rc1_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(rc1_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_scmfsa_2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_scmfsa_2)) & v1_ami_2(A)) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_1(B, A) & v2_amistd_2(B, A)) ) ) ) ) ) ) ) ) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
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_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(rc2_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(rc2_finset_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_finset_1(B)) ) ) ).
fof(rc2_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_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_scmfsa6a, axiom,  (? [A] :  (m1_subset_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_amistd_2(A, k5_card_1(3), k1_scmfsa_2) &  (v3_amistd_2(A, k5_card_1(3), k1_scmfsa_2) & v4_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ).
fof(rc2_valued_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ~ (v1_xboole_0(A)) ) ) ) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & v2_amistd_2(B, A)) ) ) ) ) ) ) ) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_compos_0, axiom,  (? [A] :  (v1_compos_0(A) & v5_compos_0(A)) ) ).
fof(rc3_finset_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ).
fof(rc3_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_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_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)) ) ) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_1(B, A) & v2_amistd_2(B, A)) ) ) ) ) ) ) ) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(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_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_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ).
fof(rc4_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(rc4_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_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(rc4_valued_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_card_1(A, 1)) ) ) ) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_amistd_2, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v3_amistd_1(B, A) &  (v2_amistd_2(B, A) & v4_amistd_2(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_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_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_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(rc5_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc6_amistd_2, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) &  (v2_amistd_2(B, A) & l1_extpro_1(B, A)) ) ) ) ) )  =>  (? [C] :  (m1_subset_1(C, u1_compos_1(B)) &  (v1_amistd_2(C, A, B) & v3_amistd_2(C, A, B)) ) ) ) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ) ).
fof(rc6_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc6_finset_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) ).
fof(rc6_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_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_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_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_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_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(rc9_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc9_finset_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v5_finset_1(A)) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k10_subset_1(A, k4_ordinal1)=A) ) ).
fof(redefinition_k2_scmfsa_2, axiom, k2_scmfsa_2=k2_scm_inst).
fof(redefinition_k4_scmfsa_m, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  => k4_scmfsa_m(A)=k1_tarski(A)) ) ).
fof(redefinition_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => k5_card_1(A)=k6_ordinal1(A)) ) ).
fof(redefinition_k5_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  => k5_compos_0(A, B)=k4_xtuple_0(B)) ) ).
fof(redefinition_k5_scmfsa_m, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => k5_scmfsa_m(A, B)=k2_tarski(A, 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__r1_r4, axiom, r1_xxreal_0(1, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
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__r2_r4, axiom, r1_xxreal_0(2, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r4, axiom, r1_xxreal_0(3, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom, r1_xxreal_0(4, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r5, axiom, r1_xxreal_0(4, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(spc10_boole, axiom,  ~ (v1_xboole_0(10)) ).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc11_boole, axiom,  ~ (v1_xboole_0(11)) ).
fof(spc11_numerals, axiom,  (v2_xxreal_0(11) & m1_subset_1(11, k4_ordinal1)) ).
fof(spc12_boole, axiom,  ~ (v1_xboole_0(12)) ).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, k4_ordinal1)) ).
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(spc4_boole, axiom,  ~ (v1_xboole_0(4)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(spc5_boole, axiom,  ~ (v1_xboole_0(5)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc7_boole, axiom,  ~ (v1_xboole_0(7)) ).
fof(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, k4_ordinal1)) ).
fof(spc8_boole, axiom,  ~ (v1_xboole_0(8)) ).
fof(spc8_numerals, axiom,  (v2_xxreal_0(8) & m1_subset_1(8, k4_ordinal1)) ).
fof(spc9_boole, axiom,  ~ (v1_xboole_0(9)) ).
fof(spc9_numerals, axiom,  (v2_xxreal_0(9) & m1_subset_1(9, k4_ordinal1)) ).
fof(t18_scmfsa_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  => k5_compos_0(u1_compos_1(k1_scmfsa_2), k6_scmfsa_2(A, B))=1) ) ) ) ).
fof(t19_scmfsa_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  => k5_compos_0(u1_compos_1(k1_scmfsa_2), k7_scmfsa_2(A, B))=2) ) ) ) ).
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(t20_scmfsa_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  => k5_compos_0(u1_compos_1(k1_scmfsa_2), k8_scmfsa_2(A, B))=3) ) ) ) ).
fof(t21_scmfsa_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  => k5_compos_0(u1_compos_1(k1_scmfsa_2), k9_scmfsa_2(A, B))=4) ) ) ) ).
fof(t22_scmfsa_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  => k5_compos_0(u1_compos_1(k1_scmfsa_2), k10_scmfsa_2(A, B))=5) ) ) ) ).
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)) ) ) ) ) ) ) ) ).
