% Mizar problem: t29_scmisort,scmisort,1229,5 
fof(t29_scmisort, conjecture,  (! [A] :  (m1_scmfsa_2(A) => k4_card_1(k2_scmisort(A))=71) ) ).
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(cc10_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_valued_0(B)) ) ) ) ).
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(cc11_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_valued_0(B)) ) ) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc12_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_valued_0(B)) ) ) ) ).
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(cc13_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_valued_0(B)) ) ) ) ).
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(cc14_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_0(B)) ) ) ) ).
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(cc15_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_0(B)) ) ) ) ).
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_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_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_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_int_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) => v1_int_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_scm_halt, 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) & v6_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) )  =>  ( ~ (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_scm_halt(A)) ) ) ) ) ) ) ) ) ).
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_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc22_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_zfmisc_1(A) & v2_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ).
fof(cc23_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) ) ) ) ).
fof(cc24_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) ) ) ) ).
fof(cc28_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k2_numbers))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc29_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
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_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_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_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_scm_halt, 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_scmfsa6b(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) & v2_scm_halt(A)) ) ) ) ) ) ) ) ) ).
fof(cc2_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
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_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_scm_halt, 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_scm_halt(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)) ) ) ) ) ) ) ) ).
fof(cc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
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_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_scm_halt, 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) &  (v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & v1_scmfsa7b(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) & v2_scm_halt(A)) ) ) ) ) ) ) ) ) ).
fof(cc4_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) =>  (v2_struct_0(A) & v8_struct_0(A)) ) ) ) ).
fof(cc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
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_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
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_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc7_card_3, axiom,  (! [A] :  (v4_card_3(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_card_3(B)) ) ) ) ).
fof(cc7_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(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(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_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(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_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(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(d2_scmisort, axiom,  (! [A] :  (m1_scmfsa_2(A) => k2_scmisort(A)=k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(2), k4_scmfsa_2(k5_numbers)), k6_scmfsa_2(k4_scmfsa_2(3), k4_scmfsa_2(k5_numbers))), k6_scmfsa_2(k4_scmfsa_2(4), k4_scmfsa_2(k5_numbers))), k6_scmfsa_2(k4_scmfsa_2(5), k4_scmfsa_2(k5_numbers))), k6_scmfsa_2(k4_scmfsa_2(6), k4_scmfsa_2(k5_numbers))), k16_scmfsa_2(k4_scmfsa_2(1), A)), k8_scmfsa_2(k4_scmfsa_2(1), k4_scmfsa_2(k5_numbers))), k1_scmfsa8c(k4_scmfsa_2(1), k2_scmfsa6a(k2_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k16_scmfsa_2(k4_scmfsa_2(2), A), k8_scmfsa_2(k4_scmfsa_2(2), k4_scmfsa_2(1))), k6_scmfsa_2(k4_scmfsa_2(3), k4_scmfsa_2(2))), k7_scmfsa_2(k4_scmfsa_2(3), k4_scmfsa_2(k5_numbers))), k14_scmfsa_2(k4_scmfsa_2(6), k4_scmfsa_2(3), A)), k8_scmfsa_2(k4_scmfsa_2(4), k4_scmfsa_2(4))), k4_scmfsa_x(k4_scmfsa_2(2), k2_scmfsa6a(k5_scmfsa6a(k14_scmfsa_2(k4_scmfsa_2(5), k4_scmfsa_2(2), A), k8_scmfsa_2(k4_scmfsa_2(5), k4_scmfsa_2(6))), k2_scmfsa8b(k4_scmfsa_2(5), k11_compos_1(k1_scmfsa_2, k8_scmfsa_2(k4_scmfsa_2(2), k4_scmfsa_2(2))), k5_scmfsa6a(k7_scmfsa_2(k4_scmfsa_2(4), k4_scmfsa_2(k5_numbers)), k8_scmfsa_2(k4_scmfsa_2(2), k4_scmfsa_2(k5_numbers))))))), k1_scmfsa8c(k4_scmfsa_2(4), k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(k6_scmfsa_2(k4_scmfsa_2(2), k4_scmfsa_2(3)), k8_scmfsa_2(k4_scmfsa_2(3), k4_scmfsa_2(k5_numbers))), k14_scmfsa_2(k4_scmfsa_2(5), k4_scmfsa_2(2), A)), k14_scmfsa_2(k4_scmfsa_2(6), k4_scmfsa_2(3), A)), k15_scmfsa_2(k4_scmfsa_2(6), k4_scmfsa_2(2), A)), k15_scmfsa_2(k4_scmfsa_2(5), k4_scmfsa_2(3), A))))))) ) ).
fof(d6_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_scmfsa_2(A)=k10_ami_3(A)) ) ).
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_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_ami_2(k10_ami_3(A)) & m1_subset_1(k10_ami_3(A), u1_struct_0(k1_ami_3))) ) ) ).
fof(dt_k10_finseq_1, axiom, $true).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), 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_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_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_k1_ami_3, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & l1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_funct_2, axiom, $true).
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_numbers, axiom, $true).
fof(dt_k1_scmfsa8c, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(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) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k1_scmfsa8c(A, B)))  &  (v1_relat_1(k1_scmfsa8c(A, B)) &  (v4_relat_1(k1_scmfsa8c(A, B), k4_ordinal1) &  (v5_relat_1(k1_scmfsa8c(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa8c(A, B)) &  (v1_finset_1(k1_scmfsa8c(A, B)) & v1_afinsq_1(k1_scmfsa8c(A, B))) ) ) ) ) ) ) ) ).
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_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_numbers, axiom, $true).
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_scmfsa8b, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(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) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(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_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, k1_scmfsa_2) & v4_compos_1(C, k1_scmfsa_2)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k2_scmfsa8b(A, B, C)))  &  (v1_relat_1(k2_scmfsa8b(A, B, C)) &  (v4_relat_1(k2_scmfsa8b(A, B, C), k4_ordinal1) &  (v5_relat_1(k2_scmfsa8b(A, B, C), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k2_scmfsa8b(A, B, C)) &  (v1_finset_1(k2_scmfsa8b(A, B, C)) & v1_afinsq_1(k2_scmfsa8b(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k2_scmfsa_i, axiom,  ~ (v1_xboole_0(k2_scmfsa_i)) ).
fof(dt_k2_scmisort, axiom,  (! [A] :  (m1_scmfsa_2(A) =>  ( ~ (v1_xboole_0(k2_scmisort(A)))  &  (v1_relat_1(k2_scmisort(A)) &  (v4_relat_1(k2_scmisort(A), k4_ordinal1) &  (v5_relat_1(k2_scmisort(A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k2_scmisort(A)) &  (v1_finset_1(k2_scmisort(A)) & v1_afinsq_1(k2_scmisort(A))) ) ) ) ) ) ) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k3_xtuple_0, axiom, $true).
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_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_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)) ) ) ) ) )  & m1_subset_1(B, u1_compos_1(k1_scmfsa_2)))  =>  (v1_relat_1(k4_scmfsa6a(A, B)) &  (v4_relat_1(k4_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k4_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k4_scmfsa6a(A, B)))  &  (v1_funct_1(k4_scmfsa6a(A, B)) &  (v1_finset_1(k4_scmfsa6a(A, B)) & v1_afinsq_1(k4_scmfsa6a(A, B))) ) ) ) ) ) ) ) ).
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_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_ami_2(k4_scmfsa_2(A)) & m1_subset_1(k4_scmfsa_2(A), u1_struct_0(k1_scmfsa_2))) ) ) ).
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_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_scmfsa6a, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_compos_1(k1_scmfsa_2)) & m1_subset_1(B, u1_compos_1(k1_scmfsa_2)))  =>  (v1_relat_1(k5_scmfsa6a(A, B)) &  (v4_relat_1(k5_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k5_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k5_scmfsa6a(A, B)))  &  (v1_funct_1(k5_scmfsa6a(A, B)) &  (v1_finset_1(k5_scmfsa6a(A, B)) & v1_afinsq_1(k5_scmfsa6a(A, B))) ) ) ) ) ) ) ) ).
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_k6_numbers, axiom, $true).
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_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_card_3, axiom, v5_card_3(k4_ordinal1)).
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_sfmastr1, axiom,  (! [A, B] :  ( (m1_scmfsa_2(A) &  (v1_ami_2(B) &  ( ~ (v1_scmfsa_m(B))  & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) ) )  => v1_sfmastr1(k16_scmfsa_2(B, A))) ) ).
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_scmfsa6c, 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) &  ( ~ (v1_scmfsa_m(C))  & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) ) ) )  => v1_scmfsa6c(k14_scmfsa_2(C, A, B))) ) ).
fof(fc11_scmfsa_m, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_ami_2(k4_scmfsa_2(k1_nat_1(A, 1))) &  ~ (v1_scmfsa_m(k4_scmfsa_2(k1_nat_1(A, 1)))) ) ) ) ).
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_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_scm_halt, axiom,  (! [A, B, C] :  ( ( ( ~ (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) & v1_scm_halt(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) &  (v3_compos_1(B, k1_scmfsa_2) &  (v4_compos_1(B, k1_scmfsa_2) &  (v5_amistd_1(B, k5_card_1(3), k1_scmfsa_2) & v1_scm_halt(B)) ) ) ) ) ) ) ) ) )  &  (v1_ami_2(C) &  ( ~ (v1_scmfsa_m(C))  & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  ( ~ (v1_xboole_0(k2_scmfsa8b(C, A, B)))  &  (v1_relat_1(k2_scmfsa8b(C, A, B)) &  (v4_relat_1(k2_scmfsa8b(C, A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa8b(C, A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k2_scmfsa8b(C, A, B)) &  (v1_finset_1(k2_scmfsa8b(C, A, B)) &  (v1_afinsq_1(k2_scmfsa8b(C, A, B)) & v1_scm_halt(k2_scmfsa8b(C, A, B))) ) ) ) ) ) ) ) ) ).
fof(fc12_scmfsa6c, axiom,  (! [A, B] :  ( (m1_scmfsa_2(A) &  (v1_ami_2(B) &  ( ~ (v1_scmfsa_m(B))  & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) ) )  => v1_scmfsa6c(k16_scmfsa_2(B, A))) ) ).
fof(fc12_sfmastr1, 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))) ) )  => v1_sfmastr1(k15_scmfsa_2(C, 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_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_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(A))) ) ).
fof(fc13_scm_halt, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) &  ( ~ (v1_scmfsa_m(A))  & m1_subset_1(A, u1_struct_0(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) &  (v3_compos_1(B, k1_scmfsa_2) &  (v4_compos_1(B, k1_scmfsa_2) & v1_scmfsa7b(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k1_scmfsa8c(A, B)))  &  (v1_relat_1(k1_scmfsa8c(A, B)) &  (v4_relat_1(k1_scmfsa8c(A, B), k4_ordinal1) &  (v5_relat_1(k1_scmfsa8c(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa8c(A, B)) &  (v1_finset_1(k1_scmfsa8c(A, B)) &  (v1_afinsq_1(k1_scmfsa8c(A, B)) & v1_scmfsa7b(k1_scmfsa8c(A, B))) ) ) ) ) ) ) ) ) ).
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_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_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v1_finset_1(k2_zfmisc_1(A, B))) ) ).
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(fc14_sfmastr1, axiom,  (! [A, B] :  ( ( (v1_sfmastr1(A) & m1_subset_1(A, u1_compos_1(k1_scmfsa_2)))  &  (v1_sfmastr1(B) & m1_subset_1(B, u1_compos_1(k1_scmfsa_2))) )  =>  ( ~ (v1_xboole_0(k5_scmfsa6a(A, B)))  &  (v1_relat_1(k5_scmfsa6a(A, B)) &  (v4_relat_1(k5_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k5_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k5_scmfsa6a(A, B)) &  (v1_finset_1(k5_scmfsa6a(A, B)) &  (v1_afinsq_1(k5_scmfsa6a(A, B)) & v1_scmfsa7b(k5_scmfsa6a(A, B))) ) ) ) ) ) ) ) ) ).
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_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_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) &  (v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & v6_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(k4_scmfsa6a(A, B)))  &  (v1_relat_1(k4_scmfsa6a(A, B)) &  (v4_relat_1(k4_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k4_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k4_scmfsa6a(A, B)) &  (v1_finset_1(k4_scmfsa6a(A, B)) &  (v1_afinsq_1(k4_scmfsa6a(A, B)) &  (v5_amistd_1(k4_scmfsa6a(A, B), k5_card_1(3), k1_scmfsa_2) & v6_amistd_1(k4_scmfsa6a(A, B), 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_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)))  &  (v4_amistd_1(B, k5_card_1(3), k1_scmfsa_2) & m1_subset_1(B, u1_compos_1(k1_scmfsa_2))) )  =>  ( ~ (v1_xboole_0(k5_scmfsa6a(A, B)))  &  (v1_relat_1(k5_scmfsa6a(A, B)) &  (v4_relat_1(k5_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k5_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k5_scmfsa6a(A, B)) &  (v1_finset_1(k5_scmfsa6a(A, B)) &  (v1_afinsq_1(k5_scmfsa6a(A, B)) &  (v5_amistd_1(k5_scmfsa6a(A, B), k5_card_1(3), k1_scmfsa_2) & v6_amistd_1(k5_scmfsa6a(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ) ).
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(fc16_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(k4_scmfsa6a(B, A)))  &  (v1_relat_1(k4_scmfsa6a(B, A)) &  (v4_relat_1(k4_scmfsa6a(B, A), k4_ordinal1) &  (v5_relat_1(k4_scmfsa6a(B, A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k4_scmfsa6a(B, A)) &  (v1_finset_1(k4_scmfsa6a(B, A)) &  (v1_afinsq_1(k4_scmfsa6a(B, A)) & v1_scmfsa7b(k4_scmfsa6a(B, A))) ) ) ) ) ) ) ) ) ).
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(fc18_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) &  (v1_scmfsa6b(A) & v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) )  &  (v4_amistd_1(B, k5_card_1(3), k1_scmfsa_2) &  (v1_scmfsa6c(B) & m1_subset_1(B, u1_compos_1(k1_scmfsa_2))) ) )  =>  ( ~ (v1_xboole_0(k4_scmfsa6a(A, B)))  &  (v1_relat_1(k4_scmfsa6a(A, B)) &  (v4_relat_1(k4_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k4_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k4_scmfsa6a(A, B)) &  (v1_finset_1(k4_scmfsa6a(A, B)) &  (v1_afinsq_1(k4_scmfsa6a(A, B)) & v1_scmfsa6b(k4_scmfsa6a(A, B))) ) ) ) ) ) ) ) ) ).
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(fc18_sfmastr1, 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) & v1_scmfsa7b(A)) ) ) ) ) ) ) ) )  &  (v1_ami_2(B) &  ( ~ (v1_scmfsa_m(B))  & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) ) )  =>  ( ~ (v1_xboole_0(k1_scmfsa8c(B, A)))  &  (v1_relat_1(k1_scmfsa8c(B, A)) &  (v4_relat_1(k1_scmfsa8c(B, A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa8c(B, A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa8c(B, A)) &  (v1_finset_1(k1_scmfsa8c(B, A)) &  (v1_afinsq_1(k1_scmfsa8c(B, A)) & v1_scmfsa7b(k1_scmfsa8c(B, 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(fc19_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))) )  &  (v4_amistd_1(B, k5_card_1(3), k1_scmfsa_2) &  (v1_scmfsa6c(B) & m1_subset_1(B, u1_compos_1(k1_scmfsa_2))) ) )  =>  ( ~ (v1_xboole_0(k5_scmfsa6a(A, B)))  &  (v1_relat_1(k5_scmfsa6a(A, B)) &  (v4_relat_1(k5_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k5_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k5_scmfsa6a(A, B)) &  (v1_finset_1(k5_scmfsa6a(A, B)) &  (v1_afinsq_1(k5_scmfsa6a(A, B)) & v1_scmfsa6b(k5_scmfsa6a(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_ami_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_setfam_1(k6_ordinal1(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_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_scm_halt, 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) &  (v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2) &  (v1_scm_halt(A) & v2_scm_halt(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) &  (v5_amistd_1(B, k5_card_1(3), k1_scmfsa_2) & v1_scm_halt(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_scm_halt(k2_scmfsa6a(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc1_scmfsa8c, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(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) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k1_scmfsa8c(A, B)))  &  (v1_relat_1(k1_scmfsa8c(A, B)) &  (v4_relat_1(k1_scmfsa8c(A, B), k4_ordinal1) &  (v5_relat_1(k1_scmfsa8c(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa8c(A, B)) &  (v1_finset_1(k1_scmfsa8c(A, B)) &  (v1_afinsq_1(k1_scmfsa8c(A, B)) &  (v3_compos_1(k1_scmfsa8c(A, B), k1_scmfsa_2) & v4_compos_1(k1_scmfsa8c(A, B), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ) ).
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_sfmastr1, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) &  ( ~ (v1_scmfsa_m(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_sfmastr1(k6_scmfsa_2(A, B))) ) ).
fof(fc1_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(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_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(fc23_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc24_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ) ).
fof(fc25_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc26_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
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_ami_3, axiom,  ( ~ (v2_struct_0(k1_ami_3))  & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
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_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_scm_halt, 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)) & v1_scm_halt(k11_compos_1(k1_scmfsa_2, A))) ) ) ) ) ) ) ).
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_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_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_scmfsa8b, axiom,  (! [A, B, C] :  ( ( ( ~ (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)) ) ) ) ) ) ) ) )  &  ( ( ~ (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) &  (v3_compos_1(B, k1_scmfsa_2) &  (v4_compos_1(B, k1_scmfsa_2) & v5_amistd_1(B, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) )  &  (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) ) )  =>  ( ~ (v1_xboole_0(k2_scmfsa8b(C, A, B)))  &  (v1_relat_1(k2_scmfsa8b(C, A, B)) &  (v4_relat_1(k2_scmfsa8b(C, A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa8b(C, A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k2_scmfsa8b(C, A, B)) &  (v1_finset_1(k2_scmfsa8b(C, A, B)) &  (v1_afinsq_1(k2_scmfsa8b(C, A, B)) & v5_amistd_1(k2_scmfsa8b(C, A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ).
fof(fc2_scmfsa9a, 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(k1_scmfsa8c(B, A)) &  (v4_relat_1(k1_scmfsa8c(B, A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa8c(B, A), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k1_scmfsa8c(B, A)))  &  (v1_funct_1(k1_scmfsa8c(B, A)) &  (v1_finset_1(k1_scmfsa8c(B, A)) &  (v1_afinsq_1(k1_scmfsa8c(B, A)) & v5_amistd_1(k1_scmfsa8c(B, A), 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_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_sfmastr1, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) &  ( ~ (v1_scmfsa_m(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_sfmastr1(k7_scmfsa_2(A, B))) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
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_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(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_ami_3, axiom,  (v2_memstr_0(k1_ami_3, k5_card_1(2)) & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
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_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_scmfsa6c, 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_scmfsa6c(k15_scmfsa_2(B, A, C))) ) ).
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(fc3_sfmastr1, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) &  ( ~ (v1_scmfsa_m(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_sfmastr1(k8_scmfsa_2(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(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(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_ami_3, axiom,  (v3_memstr_0(k1_ami_3, k5_card_1(2)) & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(fc4_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k4_card_3(A))) ) ).
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_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(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_scmfsa8b, axiom,  (! [A, B, C] :  ( ( ( ~ (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) & v6_amistd_1(A, k5_card_1(3), 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) &  (v3_compos_1(B, k1_scmfsa_2) &  (v4_compos_1(B, k1_scmfsa_2) &  (v5_amistd_1(B, k5_card_1(3), k1_scmfsa_2) & v6_amistd_1(B, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) )  &  (v1_ami_2(C) &  ( ~ (v1_scmfsa_m(C))  & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  ( ~ (v1_xboole_0(k2_scmfsa8b(C, A, B)))  &  (v1_relat_1(k2_scmfsa8b(C, A, B)) &  (v4_relat_1(k2_scmfsa8b(C, A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa8b(C, A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k2_scmfsa8b(C, A, B)) &  (v1_finset_1(k2_scmfsa8b(C, A, B)) &  (v1_afinsq_1(k2_scmfsa8b(C, A, B)) & v6_amistd_1(k2_scmfsa8b(C, A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ).
fof(fc4_scmfsa_9, axiom,  (! [A, B, C] :  ( ( (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_scmfsa7b(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) &  (v4_compos_1(B, k1_scmfsa_2) & v1_scmfsa7b(B)) ) ) ) ) ) ) ) )  &  (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) ) )  =>  (v1_relat_1(k2_scmfsa8b(C, A, B)) &  (v4_relat_1(k2_scmfsa8b(C, A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa8b(C, A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k2_scmfsa8b(C, A, B)))  &  (v1_funct_1(k2_scmfsa8b(C, A, B)) &  (v1_finset_1(k2_scmfsa8b(C, A, B)) &  (v1_afinsq_1(k2_scmfsa8b(C, A, B)) & v1_scmfsa7b(k2_scmfsa8b(C, A, B))) ) ) ) ) ) ) ) ) ).
fof(fc55_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v1_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc56_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v2_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc57_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v3_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v3_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc58_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v4_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v4_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc59_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v5_valued_0(k3_relat_1(A, B))) ) ) ).
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_scm_halt, 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) &  (v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & v2_scm_halt(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) &  (v5_amistd_1(B, k5_card_1(3), k1_scmfsa_2) & v2_scm_halt(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)) & v2_scm_halt(k2_scmfsa6a(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc5_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)))  &  (v4_amistd_1(B, k5_card_1(3), k1_scmfsa_2) & m1_subset_1(B, u1_compos_1(k1_scmfsa_2))) )  =>  (v1_relat_1(k5_scmfsa6a(A, B)) &  (v4_relat_1(k5_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k5_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k5_scmfsa6a(A, B)))  &  (v1_funct_1(k5_scmfsa6a(A, B)) &  (v1_finset_1(k5_scmfsa6a(A, B)) &  (v1_afinsq_1(k5_scmfsa6a(A, B)) &  (v3_compos_1(k5_scmfsa6a(A, B), k1_scmfsa_2) & v4_compos_1(k5_scmfsa6a(A, B), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ) ).
fof(fc5_scmfsa6c, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) &  ( ~ (v1_scmfsa_m(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_scmfsa6c(k6_scmfsa_2(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(fc60_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v6_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v6_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc6_ami_3, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & v3_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_scm_halt, axiom,  (! [A, B] :  ( ( (v1_scmfsa6c(A) &  (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) &  (v1_scm_halt(B) & v2_scm_halt(B)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k4_scmfsa6a(B, A)))  &  (v1_relat_1(k4_scmfsa6a(B, A)) &  (v4_relat_1(k4_scmfsa6a(B, A), k4_ordinal1) &  (v5_relat_1(k4_scmfsa6a(B, A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k4_scmfsa6a(B, A)) &  (v1_finset_1(k4_scmfsa6a(B, A)) &  (v1_afinsq_1(k4_scmfsa6a(B, A)) &  (v1_scm_halt(k4_scmfsa6a(B, A)) & v2_scm_halt(k4_scmfsa6a(B, A))) ) ) ) ) ) ) ) ) ) ).
fof(fc6_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) &  (v3_compos_1(A, k1_scmfsa_2) & v4_compos_1(A, 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_relat_1(k4_scmfsa6a(A, B)) &  (v4_relat_1(k4_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k4_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k4_scmfsa6a(A, B)))  &  (v1_funct_1(k4_scmfsa6a(A, B)) &  (v1_finset_1(k4_scmfsa6a(A, B)) &  (v1_afinsq_1(k4_scmfsa6a(A, B)) &  (v3_compos_1(k4_scmfsa6a(A, B), k1_scmfsa_2) & v4_compos_1(k4_scmfsa6a(A, B), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ) ).
fof(fc6_scmfsa6c, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) &  ( ~ (v1_scmfsa_m(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_scmfsa6c(k7_scmfsa_2(A, B))) ) ).
fof(fc6_scmfsa8b, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(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) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(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_finset_1(C) &  (v1_afinsq_1(C) &  (v3_compos_1(C, k1_scmfsa_2) & v4_compos_1(C, k1_scmfsa_2)) ) ) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k2_scmfsa8b(A, B, C)))  &  (v1_relat_1(k2_scmfsa8b(A, B, C)) &  (v4_relat_1(k2_scmfsa8b(A, B, C), k4_ordinal1) &  (v5_relat_1(k2_scmfsa8b(A, B, C), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k2_scmfsa8b(A, B, C)) &  (v1_finset_1(k2_scmfsa8b(A, B, C)) &  (v1_afinsq_1(k2_scmfsa8b(A, B, C)) &  (v3_compos_1(k2_scmfsa8b(A, B, C), k1_scmfsa_2) & v4_compos_1(k2_scmfsa8b(A, B, C), 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(fc6_scmfsa_9, 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_scmfsa7b(A)) ) ) ) ) ) ) ) )  &  (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)) & v1_scmfsa7b(k4_scmfsa_x(B, A))) ) ) ) ) ) ) ) ) ).
fof(fc6_scmfsa_m, axiom,  (v1_ami_2(k4_scmfsa_2(k5_numbers)) & v1_scmfsa_m(k4_scmfsa_2(k5_numbers))) ).
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_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, 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_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_scmfsa6c, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) &  ( ~ (v1_scmfsa_m(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_scmfsa6c(k8_scmfsa_2(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(fc7_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) &  (v4_relat_1(k3_relat_1(A, C), k4_ordinal1) &  (v5_relat_1(k3_relat_1(A, C), B) & v1_funct_1(k3_relat_1(A, C))) ) ) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_scm_halt, 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(k4_scmfsa6a(B, A)))  &  (v1_relat_1(k4_scmfsa6a(B, A)) &  (v4_relat_1(k4_scmfsa6a(B, A), k4_ordinal1) &  (v5_relat_1(k4_scmfsa6a(B, A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k4_scmfsa6a(B, A)) &  (v1_finset_1(k4_scmfsa6a(B, A)) &  (v1_afinsq_1(k4_scmfsa6a(B, A)) & v1_scm_halt(k4_scmfsa6a(B, A))) ) ) ) ) ) ) ) ) ).
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(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc91_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v7_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc92_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v9_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc93_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v8_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v7_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc94_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v10_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v9_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc95_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v8_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc96_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v8_valued_0(k3_relat_1(B, A))) ) ) ).
fof(fc97_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v10_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc98_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v10_valued_0(k3_relat_1(B, A))) ) ) ).
fof(fc9_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v3_card_3(k4_card_3(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_scm_halt, axiom,  (! [A, B] :  ( ( (v4_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & m1_subset_1(A, u1_compos_1(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(k5_scmfsa6a(A, B)))  &  (v1_relat_1(k5_scmfsa6a(A, B)) &  (v4_relat_1(k5_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k5_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k5_scmfsa6a(A, B)) &  (v1_finset_1(k5_scmfsa6a(A, B)) &  (v1_afinsq_1(k5_scmfsa6a(A, B)) & v1_scm_halt(k5_scmfsa6a(A, B))) ) ) ) ) ) ) ) ) ).
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_sfmastr1, 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) &  ( ~ (v1_scmfsa_m(C))  & m1_subset_1(C, u1_struct_0(k1_scmfsa_2))) ) ) )  => v1_sfmastr1(k14_scmfsa_2(C, A, B))) ) ).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
fof(fc9_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(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(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_ami_3, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_ami_3)) & v1_ami_2(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_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(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_scm_halt, 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) &  (v4_card_3(A) &  (v1_afinsq_1(A) & v1_scm_halt(A)) ) ) ) ) ) ) ) ) ).
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_scmfsa6c, axiom,  (? [A] :  (m1_subset_1(A, u1_compos_1(k1_scmfsa_2)) &  (v4_amistd_1(A, k5_card_1(3), 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) & v1_scmfsa6c(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_sfmastr1, 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) & v1_sfmastr1(A)) ) ) ) ) ).
fof(rc1_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_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_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_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_scm_halt, 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) &  (v4_card_3(A) &  (v1_afinsq_1(A) &  (v1_scmfsa6b(A) & v1_scm_halt(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_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  (v3_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v4_valued_0(A) &  (v5_valued_0(A) & v6_valued_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_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v2_card_3(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_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_scm_halt, 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) &  (v4_card_3(A) &  (v1_afinsq_1(A) &  (v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2) &  (v1_scm_halt(A) & v2_scm_halt(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_valued_0, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) &  (v5_valued_0(A) &  (v6_valued_0(A) & v7_valued_0(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_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_card_3(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_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(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_scm_halt, 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) &  (v4_card_3(A) &  (v1_afinsq_1(A) &  (v1_scmfsa7b(A) & v1_scm_halt(A)) ) ) ) ) ) ) ) ) ) ).
fof(rc4_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(u1_struct_0(A))) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(rc4_valued_0, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v3_funct_1(B) & v1_funct_2(B, k4_ordinal1, A)) ) ) ) ) ) ) ) ).
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_3, axiom,  (? [A] : v5_card_3(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_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_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_finset_1(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(rc6_valued_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_valued_0(B)) ) ) ) ) ) ).
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_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(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_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_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k10_subset_1(A, k4_ordinal1)=A) ) ).
fof(rd1_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => k10_subset_1(A, k1_numbers)=A) ) ).
fof(rd5_int_1, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k4_numbers)=A) ) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_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_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(rqRealAdd__k2_xcmplx_0__r10_r1_r11, axiom, k2_xcmplx_0(10, 1)=11).
fof(rqRealAdd__k2_xcmplx_0__r10_r2_r12, axiom, k2_xcmplx_0(10, 2)=12).
fof(rqRealAdd__k2_xcmplx_0__r10_r4_r14, axiom, k2_xcmplx_0(10, 4)=14).
fof(rqRealAdd__k2_xcmplx_0__r10_r61_r71, axiom, k2_xcmplx_0(10, 61)=71).
fof(rqRealAdd__k2_xcmplx_0__r10_r9_r19, axiom, k2_xcmplx_0(10, 9)=19).
fof(rqRealAdd__k2_xcmplx_0__r11_r1_r12, axiom, k2_xcmplx_0(11, 1)=12).
fof(rqRealAdd__k2_xcmplx_0__r11_r3_r14, axiom, k2_xcmplx_0(11, 3)=14).
fof(rqRealAdd__k2_xcmplx_0__r12_r19_r31, axiom, k2_xcmplx_0(12, 19)=31).
fof(rqRealAdd__k2_xcmplx_0__r12_r2_r14, axiom, k2_xcmplx_0(12, 2)=14).
fof(rqRealAdd__k2_xcmplx_0__r12_r7_r19, axiom, k2_xcmplx_0(12, 7)=19).
fof(rqRealAdd__k2_xcmplx_0__r14_r57_r71, axiom, k2_xcmplx_0(14, 57)=71).
fof(rqRealAdd__k2_xcmplx_0__r14_r5_r19, axiom, k2_xcmplx_0(14, 5)=19).
fof(rqRealAdd__k2_xcmplx_0__r19_r12_r31, axiom, k2_xcmplx_0(19, 12)=31).
fof(rqRealAdd__k2_xcmplx_0__r19_r31_r50, axiom, k2_xcmplx_0(19, 31)=50).
fof(rqRealAdd__k2_xcmplx_0__r1_r10_r11, axiom, k2_xcmplx_0(1, 10)=11).
fof(rqRealAdd__k2_xcmplx_0__r1_r11_r12, axiom, k2_xcmplx_0(1, 11)=12).
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__r1_r3_r4, axiom, k2_xcmplx_0(1, 3)=4).
fof(rqRealAdd__k2_xcmplx_0__r1_r4_r5, axiom, k2_xcmplx_0(1, 4)=5).
fof(rqRealAdd__k2_xcmplx_0__r1_r5_r6, axiom, k2_xcmplx_0(1, 5)=6).
fof(rqRealAdd__k2_xcmplx_0__r1_r6_r7, axiom, k2_xcmplx_0(1, 6)=7).
fof(rqRealAdd__k2_xcmplx_0__r1_r9_r10, axiom, k2_xcmplx_0(1, 9)=10).
fof(rqRealAdd__k2_xcmplx_0__r2_r10_r12, axiom, k2_xcmplx_0(2, 10)=12).
fof(rqRealAdd__k2_xcmplx_0__r2_r12_r14, axiom, k2_xcmplx_0(2, 12)=14).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
fof(rqRealAdd__k2_xcmplx_0__r2_r3_r5, axiom, k2_xcmplx_0(2, 3)=5).
fof(rqRealAdd__k2_xcmplx_0__r2_r4_r6, axiom, k2_xcmplx_0(2, 4)=6).
fof(rqRealAdd__k2_xcmplx_0__r2_r57_r59, axiom, k2_xcmplx_0(2, 57)=59).
fof(rqRealAdd__k2_xcmplx_0__r2_r5_r7, axiom, k2_xcmplx_0(2, 5)=7).
fof(rqRealAdd__k2_xcmplx_0__r2_r7_r9, axiom, k2_xcmplx_0(2, 7)=9).
fof(rqRealAdd__k2_xcmplx_0__r2_r9_r11, axiom, k2_xcmplx_0(2, 9)=11).
fof(rqRealAdd__k2_xcmplx_0__r31_r19_r50, axiom, k2_xcmplx_0(31, 19)=50).
fof(rqRealAdd__k2_xcmplx_0__r3_r11_r14, axiom, k2_xcmplx_0(3, 11)=14).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(3, 1)=4).
fof(rqRealAdd__k2_xcmplx_0__r3_r2_r5, axiom, k2_xcmplx_0(3, 2)=5).
fof(rqRealAdd__k2_xcmplx_0__r3_r3_r6, axiom, k2_xcmplx_0(3, 3)=6).
fof(rqRealAdd__k2_xcmplx_0__r3_r4_r7, axiom, k2_xcmplx_0(3, 4)=7).
fof(rqRealAdd__k2_xcmplx_0__r3_r6_r9, axiom, k2_xcmplx_0(3, 6)=9).
fof(rqRealAdd__k2_xcmplx_0__r3_r7_r10, axiom, k2_xcmplx_0(3, 7)=10).
fof(rqRealAdd__k2_xcmplx_0__r3_r9_r12, axiom, k2_xcmplx_0(3, 9)=12).
fof(rqRealAdd__k2_xcmplx_0__r4_r10_r14, axiom, k2_xcmplx_0(4, 10)=14).
fof(rqRealAdd__k2_xcmplx_0__r4_r1_r5, axiom, k2_xcmplx_0(4, 1)=5).
fof(rqRealAdd__k2_xcmplx_0__r4_r2_r6, axiom, k2_xcmplx_0(4, 2)=6).
fof(rqRealAdd__k2_xcmplx_0__r4_r3_r7, axiom, k2_xcmplx_0(4, 3)=7).
fof(rqRealAdd__k2_xcmplx_0__r4_r57_r61, axiom, k2_xcmplx_0(4, 57)=61).
fof(rqRealAdd__k2_xcmplx_0__r4_r5_r9, axiom, k2_xcmplx_0(4, 5)=9).
fof(rqRealAdd__k2_xcmplx_0__r4_r6_r10, axiom, k2_xcmplx_0(4, 6)=10).
fof(rqRealAdd__k2_xcmplx_0__r4_r7_r11, axiom, k2_xcmplx_0(4, 7)=11).
fof(rqRealAdd__k2_xcmplx_0__r50_r7_r57, axiom, k2_xcmplx_0(50, 7)=57).
fof(rqRealAdd__k2_xcmplx_0__r50_r9_r59, axiom, k2_xcmplx_0(50, 9)=59).
fof(rqRealAdd__k2_xcmplx_0__r57_r14_r71, axiom, k2_xcmplx_0(57, 14)=71).
fof(rqRealAdd__k2_xcmplx_0__r57_r2_r59, axiom, k2_xcmplx_0(57, 2)=59).
fof(rqRealAdd__k2_xcmplx_0__r57_r4_r61, axiom, k2_xcmplx_0(57, 4)=61).
fof(rqRealAdd__k2_xcmplx_0__r5_r14_r19, axiom, k2_xcmplx_0(5, 14)=19).
fof(rqRealAdd__k2_xcmplx_0__r5_r1_r6, axiom, k2_xcmplx_0(5, 1)=6).
fof(rqRealAdd__k2_xcmplx_0__r5_r2_r7, axiom, k2_xcmplx_0(5, 2)=7).
fof(rqRealAdd__k2_xcmplx_0__r5_r4_r9, axiom, k2_xcmplx_0(5, 4)=9).
fof(rqRealAdd__k2_xcmplx_0__r5_r5_r10, axiom, k2_xcmplx_0(5, 5)=10).
fof(rqRealAdd__k2_xcmplx_0__r5_r6_r11, axiom, k2_xcmplx_0(5, 6)=11).
fof(rqRealAdd__k2_xcmplx_0__r5_r7_r12, axiom, k2_xcmplx_0(5, 7)=12).
fof(rqRealAdd__k2_xcmplx_0__r5_r9_r14, axiom, k2_xcmplx_0(5, 9)=14).
fof(rqRealAdd__k2_xcmplx_0__r61_r10_r71, axiom, k2_xcmplx_0(61, 10)=71).
fof(rqRealAdd__k2_xcmplx_0__r6_r1_r7, axiom, k2_xcmplx_0(6, 1)=7).
fof(rqRealAdd__k2_xcmplx_0__r6_r3_r9, axiom, k2_xcmplx_0(6, 3)=9).
fof(rqRealAdd__k2_xcmplx_0__r6_r4_r10, axiom, k2_xcmplx_0(6, 4)=10).
fof(rqRealAdd__k2_xcmplx_0__r6_r5_r11, axiom, k2_xcmplx_0(6, 5)=11).
fof(rqRealAdd__k2_xcmplx_0__r6_r6_r12, axiom, k2_xcmplx_0(6, 6)=12).
fof(rqRealAdd__k2_xcmplx_0__r7_r12_r19, axiom, k2_xcmplx_0(7, 12)=19).
fof(rqRealAdd__k2_xcmplx_0__r7_r2_r9, axiom, k2_xcmplx_0(7, 2)=9).
fof(rqRealAdd__k2_xcmplx_0__r7_r3_r10, axiom, k2_xcmplx_0(7, 3)=10).
fof(rqRealAdd__k2_xcmplx_0__r7_r4_r11, axiom, k2_xcmplx_0(7, 4)=11).
fof(rqRealAdd__k2_xcmplx_0__r7_r50_r57, axiom, k2_xcmplx_0(7, 50)=57).
fof(rqRealAdd__k2_xcmplx_0__r7_r5_r12, axiom, k2_xcmplx_0(7, 5)=12).
fof(rqRealAdd__k2_xcmplx_0__r7_r7_r14, axiom, k2_xcmplx_0(7, 7)=14).
fof(rqRealAdd__k2_xcmplx_0__r9_r10_r19, axiom, k2_xcmplx_0(9, 10)=19).
fof(rqRealAdd__k2_xcmplx_0__r9_r1_r10, axiom, k2_xcmplx_0(9, 1)=10).
fof(rqRealAdd__k2_xcmplx_0__r9_r2_r11, axiom, k2_xcmplx_0(9, 2)=11).
fof(rqRealAdd__k2_xcmplx_0__r9_r3_r12, axiom, k2_xcmplx_0(9, 3)=12).
fof(rqRealAdd__k2_xcmplx_0__r9_r50_r59, axiom, k2_xcmplx_0(9, 50)=59).
fof(rqRealAdd__k2_xcmplx_0__r9_r5_r14, axiom, k2_xcmplx_0(9, 5)=14).
fof(rqRealMult__k3_xcmplx_0__r10_r1_r10, axiom, k3_xcmplx_0(10, 1)=10).
fof(rqRealMult__k3_xcmplx_0__r10_r5_r50, axiom, k3_xcmplx_0(10, 5)=50).
fof(rqRealMult__k3_xcmplx_0__r11_r1_r11, axiom, k3_xcmplx_0(11, 1)=11).
fof(rqRealMult__k3_xcmplx_0__r12_r1_r12, axiom, k3_xcmplx_0(12, 1)=12).
fof(rqRealMult__k3_xcmplx_0__r14_r1_r14, axiom, k3_xcmplx_0(14, 1)=14).
fof(rqRealMult__k3_xcmplx_0__r19_r1_r19, axiom, k3_xcmplx_0(19, 1)=19).
fof(rqRealMult__k3_xcmplx_0__r19_r3_r57, axiom, k3_xcmplx_0(19, 3)=57).
fof(rqRealMult__k3_xcmplx_0__r1_r10_r10, axiom, k3_xcmplx_0(1, 10)=10).
fof(rqRealMult__k3_xcmplx_0__r1_r11_r11, axiom, k3_xcmplx_0(1, 11)=11).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12, axiom, k3_xcmplx_0(1, 12)=12).
fof(rqRealMult__k3_xcmplx_0__r1_r14_r14, axiom, k3_xcmplx_0(1, 14)=14).
fof(rqRealMult__k3_xcmplx_0__r1_r19_r19, axiom, k3_xcmplx_0(1, 19)=19).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r31_r31, axiom, k3_xcmplx_0(1, 31)=31).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
fof(rqRealMult__k3_xcmplx_0__r1_r4_r4, axiom, k3_xcmplx_0(1, 4)=4).
fof(rqRealMult__k3_xcmplx_0__r1_r50_r50, axiom, k3_xcmplx_0(1, 50)=50).
fof(rqRealMult__k3_xcmplx_0__r1_r57_r57, axiom, k3_xcmplx_0(1, 57)=57).
fof(rqRealMult__k3_xcmplx_0__r1_r59_r59, axiom, k3_xcmplx_0(1, 59)=59).
fof(rqRealMult__k3_xcmplx_0__r1_r5_r5, axiom, k3_xcmplx_0(1, 5)=5).
fof(rqRealMult__k3_xcmplx_0__r1_r61_r61, axiom, k3_xcmplx_0(1, 61)=61).
fof(rqRealMult__k3_xcmplx_0__r1_r6_r6, axiom, k3_xcmplx_0(1, 6)=6).
fof(rqRealMult__k3_xcmplx_0__r1_r71_r71, axiom, k3_xcmplx_0(1, 71)=71).
fof(rqRealMult__k3_xcmplx_0__r1_r7_r7, axiom, k3_xcmplx_0(1, 7)=7).
fof(rqRealMult__k3_xcmplx_0__r1_r9_r9, axiom, k3_xcmplx_0(1, 9)=9).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r2_r4, axiom, k3_xcmplx_0(2, 2)=4).
fof(rqRealMult__k3_xcmplx_0__r2_r3_r6, axiom, k3_xcmplx_0(2, 3)=6).
fof(rqRealMult__k3_xcmplx_0__r2_r5_r10, axiom, k3_xcmplx_0(2, 5)=10).
fof(rqRealMult__k3_xcmplx_0__r2_r6_r12, axiom, k3_xcmplx_0(2, 6)=12).
fof(rqRealMult__k3_xcmplx_0__r2_r7_r14, axiom, k3_xcmplx_0(2, 7)=14).
fof(rqRealMult__k3_xcmplx_0__r31_r1_r31, axiom, k3_xcmplx_0(31, 1)=31).
fof(rqRealMult__k3_xcmplx_0__r3_r19_r57, axiom, k3_xcmplx_0(3, 19)=57).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(3, 1)=3).
fof(rqRealMult__k3_xcmplx_0__r3_r2_r6, axiom, k3_xcmplx_0(3, 2)=6).
fof(rqRealMult__k3_xcmplx_0__r3_r3_r9, axiom, k3_xcmplx_0(3, 3)=9).
fof(rqRealMult__k3_xcmplx_0__r3_r4_r12, axiom, k3_xcmplx_0(3, 4)=12).
fof(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom, k3_xcmplx_0(4, 1)=4).
fof(rqRealMult__k3_xcmplx_0__r4_r3_r12, axiom, k3_xcmplx_0(4, 3)=12).
fof(rqRealMult__k3_xcmplx_0__r50_r1_r50, axiom, k3_xcmplx_0(50, 1)=50).
fof(rqRealMult__k3_xcmplx_0__r57_r1_r57, axiom, k3_xcmplx_0(57, 1)=57).
fof(rqRealMult__k3_xcmplx_0__r59_r1_r59, axiom, k3_xcmplx_0(59, 1)=59).
fof(rqRealMult__k3_xcmplx_0__r5_r10_r50, axiom, k3_xcmplx_0(5, 10)=50).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom, k3_xcmplx_0(5, 1)=5).
fof(rqRealMult__k3_xcmplx_0__r5_r2_r10, axiom, k3_xcmplx_0(5, 2)=10).
fof(rqRealMult__k3_xcmplx_0__r61_r1_r61, axiom, k3_xcmplx_0(61, 1)=61).
fof(rqRealMult__k3_xcmplx_0__r6_r1_r6, axiom, k3_xcmplx_0(6, 1)=6).
fof(rqRealMult__k3_xcmplx_0__r6_r2_r12, axiom, k3_xcmplx_0(6, 2)=12).
fof(rqRealMult__k3_xcmplx_0__r71_r1_r71, axiom, k3_xcmplx_0(71, 1)=71).
fof(rqRealMult__k3_xcmplx_0__r7_r1_r7, axiom, k3_xcmplx_0(7, 1)=7).
fof(rqRealMult__k3_xcmplx_0__r7_r2_r14, axiom, k3_xcmplx_0(7, 2)=14).
fof(rqRealMult__k3_xcmplx_0__r9_r1_r9, axiom, k3_xcmplx_0(9, 1)=9).
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(spc14_boole, axiom,  ~ (v1_xboole_0(14)) ).
fof(spc14_numerals, axiom,  (v2_xxreal_0(14) & m1_subset_1(14, k4_ordinal1)) ).
fof(spc19_boole, axiom,  ~ (v1_xboole_0(19)) ).
fof(spc19_numerals, axiom,  (v2_xxreal_0(19) & m1_subset_1(19, 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(spc31_boole, axiom,  ~ (v1_xboole_0(31)) ).
fof(spc31_numerals, axiom,  (v2_xxreal_0(31) & m1_subset_1(31, 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(spc50_boole, axiom,  ~ (v1_xboole_0(50)) ).
fof(spc50_numerals, axiom,  (v2_xxreal_0(50) & m1_subset_1(50, k4_ordinal1)) ).
fof(spc57_boole, axiom,  ~ (v1_xboole_0(57)) ).
fof(spc57_numerals, axiom,  (v2_xxreal_0(57) & m1_subset_1(57, k4_ordinal1)) ).
fof(spc59_boole, axiom,  ~ (v1_xboole_0(59)) ).
fof(spc59_numerals, axiom,  (v2_xxreal_0(59) & m1_subset_1(59, k4_ordinal1)) ).
fof(spc5_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ).
fof(spc5_boole, axiom,  ~ (v1_xboole_0(5)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc61_boole, axiom,  ~ (v1_xboole_0(61)) ).
fof(spc61_numerals, axiom,  (v2_xxreal_0(61) & m1_subset_1(61, 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(spc6_boole, axiom,  ~ (v1_xboole_0(6)) ).
fof(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, k4_ordinal1)) ).
fof(spc71_boole, axiom,  ~ (v1_xboole_0(71)) ).
fof(spc71_numerals, axiom,  (v2_xxreal_0(71) & m1_subset_1(71, k4_ordinal1)) ).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(spc7_boole, axiom,  ~ (v1_xboole_0(7)) ).
fof(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, 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(t12_scmfsa8b, 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) &  (v3_compos_1(A, k1_scmfsa_2) & v4_compos_1(A, k1_scmfsa_2)) ) ) ) ) ) ) )  =>  (! [B] :  ( ( ~ (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) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) )  =>  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmfsa_2)))  => k4_card_1(k2_scmfsa8b(C, A, B))=k1_nat_1(k1_nat_1(k4_card_1(A), k4_card_1(B)), 4)) ) ) ) ) ) ).
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_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t21_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)) ) ) ) ) )  => k4_card_1(k2_scmfsa6a(A, B))=k1_nat_1(k4_card_1(A), k4_card_1(B))) ) ) ) ).
fof(t28_scmisort, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_scmfsa_2)) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k1_scmfsa_2)) =>  (! [C] :  (m1_subset_1(C, u1_compos_1(k1_scmfsa_2)) =>  (! [D] :  (m1_subset_1(D, u1_compos_1(k1_scmfsa_2)) =>  (! [E] :  (m1_subset_1(E, u1_compos_1(k1_scmfsa_2)) => k4_card_1(k4_scmfsa6a(k4_scmfsa6a(k4_scmfsa6a(k5_scmfsa6a(A, B), C), D), E))=10) ) ) ) ) ) ) ) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t34_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)) ) ) ) ) )  => k4_card_1(k4_scmfsa6a(B, A))=k1_nat_1(k4_card_1(B), 2)) ) ) ) ).
fof(t35_scmfsa6a, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_scmfsa_2)) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k1_scmfsa_2)) => k4_card_1(k5_scmfsa6a(A, B))=4) ) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_scmfsa_x, 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) &  (v3_compos_1(A, k1_scmfsa_2) & v4_compos_1(A, k1_scmfsa_2)) ) ) ) ) ) ) )  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  => k4_card_1(k4_scmfsa_x(B, A))=k1_nat_1(k4_card_1(A), 5)) ) ) ) ).
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(t56_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) => k4_card_1(k11_compos_1(A, B))=2) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t94_scmfsa8c, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( ( ~ (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) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) )  => k4_card_1(k1_scmfsa8c(A, B))=k1_nat_1(k4_card_1(B), 7)) ) ) ) ).
