% Mizar problem: t7_scmpds_7,scmpds_7,97,5 
fof(t7_scmpds_7, conjecture,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k1_scmpds_2)) =>  (r2_tarski(k5_compos_0(u1_compos_1(k1_scmpds_2), B), k3_enumset1(k5_numbers, 4, 5, 6, 14)) => k6_memstr_0(k5_card_1(2), k1_scmpds_2, k2_extpro_1(k5_card_1(2), k1_scmpds_2, B, A))=k6_memstr_0(k5_card_1(2), k1_scmpds_2, A)) ) ) ) ) ).
fof(abstractness_v1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_extpro_1(B, A) => B=g1_extpro_1(A, u1_struct_0(B), u2_struct_0(B), u1_compos_1(B), u1_memstr_0(A, B), u2_memstr_0(A, B), u1_extpro_1(A, B))) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(A)) ) ).
fof(cc10_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(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_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(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_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(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_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(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_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v3_valued_0(A) & v7_valued_0(A)) ) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_funct_1(A) & v3_valued_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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc16_valued_0, axiom,  (! [A, B] :  (v1_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_valued_0(C)) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc17_valued_0, axiom,  (! [A, B] :  (v2_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v2_valued_0(C)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc18_valued_0, axiom,  (! [A, B] :  (v3_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v3_valued_0(C)) ) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc19_valued_0, axiom,  (! [A, B] :  (v4_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v4_valued_0(C)) ) ) ) ).
fof(cc1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc1_card_1, axiom,  (! [A] :  (v1_card_1(A) => v3_ordinal1(A)) ) ).
fof(cc1_compos_0, axiom,  (! [A] :  (v1_compos_0(A) => v1_relat_1(A)) ) ).
fof(cc1_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_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_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(cc1_xxreal_0, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => v1_xxreal_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc20_valued_0, axiom,  (! [A, B] :  (v5_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v5_valued_0(C)) ) ) ) ).
fof(cc21_valued_0, axiom,  (! [A, B] :  (v6_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v6_valued_0(C)) ) ) ) ).
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_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
fof(cc2_compos_0, axiom,  (! [A] :  (v5_compos_0(A) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v4_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc2_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (! [C] :  ( (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v4_memstr_0(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_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(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_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_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ).
fof(cc3_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_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(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc40_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k2_numbers)) ) ) ) ) ).
fof(cc41_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_valued_0(B)) ) ) ) ) ).
fof(cc42_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k6_numbers)) ) ) ) ) ).
fof(cc43_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v2_valued_0(B)) ) ) ) ) ).
fof(cc44_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k1_numbers)) ) ) ) ) ).
fof(cc45_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(cc46_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k3_numbers)) ) ) ) ) ).
fof(cc47_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v4_valued_0(B)) ) ) ) ) ).
fof(cc48_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_numbers)) ) ) ) ) ).
fof(cc49_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_valued_0(B)) ) ) ) ) ).
fof(cc4_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_valued_0(A)) ) ) ) ) ) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v2_compos_1(B, A)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v4_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc4_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_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(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(B)) ) ) ) ) ).
fof(cc5_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v6_valued_0(A)) ) ) ) ) ) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_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_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_afinsq_1(A)) ) ) ) ).
fof(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) ) ).
fof(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_0(A)) ) ).
fof(cc7_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc8_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ) ) ).
fof(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
fof(cc8_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(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(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d10_scmpds_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k9_scmpds_2(A, B, C)=k3_xtuple_0(6, k1_xboole_0, k11_finseq_1(A, B, C))) ) ) ) ) ) ).
fof(d1_scmpds_2, axiom, k1_scmpds_2=g1_extpro_1(k5_card_1(2), k1_ami_2, k10_subset_1(k4_ordinal1, k1_ami_2), k1_scmpds_i, k3_ami_2, k4_ami_2, k6_scmpds_1)).
fof(d2_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k2_extpro_1(A, B, C, D)=k1_funct_1(k3_funct_2(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)))), u1_extpro_1(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(d2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) => k2_memstr_0(A, B)=k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))) ) ) ) ).
fof(d3_enumset1, axiom,  (! [A] :  (! [B] :  (! [C] :  (! [D] :  (! [E] :  (! [F] :  (F=k3_enumset1(A, B, C, D, E) <=>  (! [G] :  (r2_hidden(G, F) <=>  ~ ( ( ~ (G=A)  &  ( ~ (G=B)  &  ( ~ (G=C)  &  ( ~ (G=D)  &  ~ (G=E) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d3_scmpds_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k2_scmpds_2(A, B)=k4_tarski(1, k1_int_2(k2_xcmplx_0(A, B)))) ) ) ) ).
fof(d4_scmpds_2, axiom,  (! [A] :  (v1_int_1(A) => k3_scmpds_2(A)=k3_xtuple_0(14, k1_xboole_0, k9_finseq_1(A))) ) ).
fof(d7_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k5_memstr_0(A, B, C)=k1_funct_1(C, k4_struct_0(B))) ) ) ) ) ) ).
fof(d8_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k6_memstr_0(A, B, C)=k5_relat_1(C, k8_struct_0(B))) ) ) ) ) ) ).
fof(d8_scmpds_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k7_scmpds_2(A, B, C)=k3_xtuple_0(4, k1_xboole_0, k11_finseq_1(A, B, C))) ) ) ) ) ) ).
fof(d9_scmpds_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k8_scmpds_2(A, B, C)=k3_xtuple_0(5, k1_xboole_0, k11_finseq_1(A, B, C))) ) ) ) ) ) ).
fof(dt_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (v1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A) & l1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A)) ) ) ).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), B)) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k11_finseq_1, axiom, $true).
fof(dt_k17_scmpds_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  & v1_int_1(B))  => m1_subset_1(k17_scmpds_2(A, B), k4_ordinal1)) ) ).
fof(dt_k1_ami_2, axiom, $true).
fof(dt_k1_funct_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k1_int_2(A), k4_ordinal1)) ) ).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_scmpds_2, axiom,  (v1_extpro_1(k1_scmpds_2, k5_card_1(2)) & l1_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
fof(dt_k1_scmpds_i, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  &  (m1_subset_1(C, u1_compos_1(B)) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  =>  (v1_relat_1(k2_extpro_1(A, B, C, D)) &  (v4_relat_1(k2_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k2_extpro_1(A, B, C, D)) &  (v5_funct_1(k2_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k2_extpro_1(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_scmpds_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  =>  (v1_ami_2(k2_scmpds_2(A, B)) & m1_subset_1(k2_scmpds_2(A, B), u1_struct_0(k1_scmpds_2))) ) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_ami_2, axiom,  (v1_funct_1(k3_ami_2) &  (v1_funct_2(k3_ami_2, k1_ami_2, k5_card_1(2)) & m1_subset_1(k3_ami_2, k1_zfmisc_1(k2_zfmisc_1(k1_ami_2, k5_card_1(2))))) ) ).
fof(dt_k3_enumset1, axiom, $true).
fof(dt_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => m1_subset_1(k3_funct_2(A, B, C, D), B)) ) ).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_scmpds_2, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k3_scmpds_2(A), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k3_xtuple_0, axiom, $true).
fof(dt_k4_ami_2, axiom,  (v1_relat_1(k4_ami_2) &  (v4_relat_1(k4_ami_2, k5_card_1(2)) &  (v1_funct_1(k4_ami_2) & v1_partfun1(k4_ami_2, k5_card_1(2))) ) ) ).
fof(dt_k4_card_3, axiom, $true).
fof(dt_k4_compos_0, axiom, $true).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(k4_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_xtuple_0, axiom, $true).
fof(dt_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k5_card_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k5_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k5_compos_0(A, B), k4_compos_0(A))) ) ).
fof(dt_k5_finseq_1, axiom, $true).
fof(dt_k5_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  => m1_subset_1(k5_memstr_0(A, B, C), k4_ordinal1)) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(A, B))) ) ).
fof(dt_k6_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, B, C)) &  (v4_relat_1(k6_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k6_memstr_0(A, B, C)) & v5_funct_1(k6_memstr_0(A, B, C), k2_memstr_0(A, B))) ) ) ) ) ).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_ordinal1, axiom, $true).
fof(dt_k6_scmpds_1, axiom,  (v1_funct_1(k6_scmpds_1) &  (v1_funct_2(k6_scmpds_1, k1_scmpds_i, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) & m1_subset_1(k6_scmpds_1, k1_zfmisc_1(k2_zfmisc_1(k1_scmpds_i, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))))))) ) ).
fof(dt_k7_scmpds_2, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) & v1_int_1(C)) )  => m1_subset_1(k7_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k8_scmpds_2, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) & v1_int_1(C)) )  => m1_subset_1(k8_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k8_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(k8_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k9_complex1(A))) ) ).
fof(dt_k9_finseq_1, axiom,  (! [A] :  (v1_relat_1(k9_finseq_1(A)) & v1_funct_1(k9_finseq_1(A))) ) ).
fof(dt_k9_scmpds_2, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) & v1_int_1(C)) )  => m1_subset_1(k9_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_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_subset_1, axiom, $true).
fof(dt_u1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_compos_0(u1_compos_1(A)) &  (v2_compos_0(u1_compos_1(A)) &  (v3_compos_0(u1_compos_1(A)) & v5_compos_0(u1_compos_1(A))) ) ) ) ) ).
fof(dt_u1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_funct_1(u1_extpro_1(A, B)) &  (v1_funct_2(u1_extpro_1(A, B), u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))))) & m1_subset_1(u1_extpro_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))))))) ) ) ) ).
fof(dt_u1_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_funct_1(u1_memstr_0(A, B)) &  (v1_funct_2(u1_memstr_0(A, B), u1_struct_0(B), A) & m1_subset_1(u1_memstr_0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), A)))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_relat_1(u2_memstr_0(A, B)) &  (v4_relat_1(u2_memstr_0(A, B), A) &  (v1_funct_1(u2_memstr_0(A, B)) & v1_partfun1(u2_memstr_0(A, B), A)) ) ) ) ) ).
fof(dt_u2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(u2_struct_0(A), u1_struct_0(A))) ) ).
fof(existence_l1_compos_1, axiom,  (? [A] : l1_compos_1(A)) ).
fof(existence_l1_extpro_1, axiom,  (! [A] :  (? [B] : l1_extpro_1(B, A)) ) ).
fof(existence_l1_memstr_0, axiom,  (! [A] :  (? [B] : l1_memstr_0(B, A)) ) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_struct_0, axiom,  (? [A] : l2_struct_0(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc100_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v7_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc101_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v10_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc102_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v8_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc103_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v9_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(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_card_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k6_ordinal1(A))) ) ) ).
fof(fc11_finseq_1, axiom,  (! [A, B, C] : v1_finseq_1(k11_finseq_1(A, B, C))) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
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_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc12_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(B, A))) ) ) ).
fof(fc12_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc13_finseq_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_finseq_1(k5_relat_1(A, B))) ) ) ).
fof(fc13_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(A))) ) ).
fof(fc13_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k6_ordinal1(A))) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_nat_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v8_ordinal1(A))  &  ( ~ (v8_ordinal1(B))  &  ( ~ (v8_ordinal1(C))  &  ( ~ (v8_ordinal1(D))  &  ~ (v8_ordinal1(E)) ) ) ) )  => v1_setfam_1(k3_enumset1(A, B, C, D, E))) ) ).
fof(fc19_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k6_ordinal1(A))) ) ).
fof(fc19_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_finset_1(C)) ) ) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, B, C)) &  (v4_relat_1(k6_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k6_memstr_0(A, B, C)) &  (v5_funct_1(k6_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_finset_1(k6_memstr_0(A, B, C))) ) ) ) ) ) ).
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_scmpds_2, axiom,  ( ~ (v2_struct_0(k1_scmpds_2))  & v1_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
fof(fc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  => v1_membered(k10_xtuple_0(A))) ) ).
fof(fc20_card_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v10_ordinal1(k6_ordinal1(A))) ) ).
fof(fc23_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k5_finseq_1(A))) ) ).
fof(fc27_finseq_1, axiom,  (! [A, B, C] :  ~ (v1_xboole_0(k11_finseq_1(A, B, C))) ) ).
fof(fc2_afinsq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_finset_1(k5_relat_1(A, B))) ) ) ).
fof(fc2_scmpds_2, axiom,  (v2_memstr_0(k1_scmpds_2, k5_card_1(2)) &  (v3_memstr_0(k1_scmpds_2, k5_card_1(2)) & v1_extpro_1(k1_scmpds_2, k5_card_1(2))) ) ).
fof(fc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  => v2_membered(k10_xtuple_0(A))) ) ).
fof(fc32_finseq_1, axiom,  (! [A] : v3_card_1(k5_finseq_1(A), 1)) ).
fof(fc34_finseq_1, axiom,  (! [A, B, C] : v3_card_1(k11_finseq_1(A, B, C), 3)) ).
fof(fc39_finseq_1, axiom,  (! [A, B, C] :  ( (v4_finseq_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) ) )  => v1_finseq_1(k1_funct_1(B, C))) ) ).
fof(fc3_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v2_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ) ).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_scmpds_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2))) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  => v3_membered(k10_xtuple_0(A))) ) ).
fof(fc43_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc44_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc45_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc46_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v4_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc47_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v5_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc48_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v6_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_scmpds_2, axiom,  (v1_extpro_1(k1_scmpds_2, k5_card_1(2)) & v3_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
fof(fc4_scmpds_5, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) & v1_int_1(C)) )  => v6_compos_0(k7_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(fc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  => v4_membered(k10_xtuple_0(A))) ) ).
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_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  & v3_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) &  (v5_relat_1(k5_relat_1(A, B), k10_xtuple_0(A)) & v5_ordinal1(k5_relat_1(A, B))) ) ) ) ).
fof(fc5_scmpds_5, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) & v1_int_1(C)) )  => v6_compos_0(k8_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(fc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  => v5_membered(k10_xtuple_0(A))) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(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(fc61_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v6_valued_0(k5_finseq_1(A))) ) ).
fof(fc61_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => v1_xcmplx_0(k1_funct_1(A, B))) ) ).
fof(fc62_finseq_1, axiom,  (! [A] :  (v1_int_1(A) => v5_valued_0(k5_finseq_1(A))) ) ).
fof(fc62_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  => v1_xxreal_0(k1_funct_1(A, B))) ) ).
fof(fc63_finseq_1, axiom,  (! [A] :  (v1_rat_1(A) => v4_valued_0(k5_finseq_1(A))) ) ).
fof(fc63_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  => v1_xreal_0(k1_funct_1(A, B))) ) ).
fof(fc64_finseq_1, axiom,  (! [A] :  (v1_xreal_0(A) => v3_valued_0(k5_finseq_1(A))) ) ).
fof(fc64_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => v1_rat_1(k1_funct_1(A, B))) ) ).
fof(fc65_finseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_valued_0(k5_finseq_1(A))) ) ).
fof(fc65_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc66_finseq_1, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_valued_0(k5_finseq_1(A))) ) ).
fof(fc66_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  => v7_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_finseq_1, axiom,  (! [A] :  (v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A))) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_scmpds_5, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) & v1_int_1(C)) )  => v6_compos_0(k9_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(fc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  => v6_membered(k10_xtuple_0(A))) ) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  => v7_ordinal1(k4_xtuple_0(B))) ) ).
fof(fc7_finseq_1, axiom,  (! [A] : v1_finseq_1(k5_finseq_1(A))) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc85_valued_0, axiom,  (! [A, B] :  (v1_membered(B) => v1_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc86_valued_0, axiom,  (! [A, B] :  (v2_membered(B) => v2_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc87_valued_0, axiom,  (! [A, B] :  (v3_membered(B) => v3_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc88_valued_0, axiom,  (! [A, B] :  (v4_membered(B) => v4_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc89_valued_0, axiom,  (! [A, B] :  (v5_membered(B) => v5_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc8_compos_0, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  =>  ~ (v1_xboole_0(k4_compos_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_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, B, C)) &  (v4_relat_1(k6_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k6_memstr_0(A, B, C)) &  (v5_funct_1(k6_memstr_0(A, B, C), k2_memstr_0(A, B)) & v4_memstr_0(k6_memstr_0(A, B, C), 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(fc90_valued_0, axiom,  (! [A, B] :  (v6_membered(B) => v6_valued_0(k2_zfmisc_1(A, B))) ) ).
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_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_finseq_1, axiom,  (! [A, B, C] :  (v1_relat_1(k11_finseq_1(A, B, C)) & v1_funct_1(k11_finseq_1(A, B, C))) ) ).
fof(fc9_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) & v1_partfun1(k3_relat_1(A, C), k4_ordinal1)) ) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(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_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(k1_int_2(A))=k1_int_2(A)) ) ).
fof(projectivity_k6_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  => k6_memstr_0(A, B, k6_memstr_0(A, B, C))=k6_memstr_0(A, B, C)) ) ).
fof(projectivity_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k9_complex1(A))=k9_complex1(A)) ) ).
fof(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  & v3_memstr_0(B, A)) ) ) ) ) ).
fof(rc10_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc14_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc16_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v6_valued_0(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc1_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(A)) ).
fof(rc1_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_compos_0(A)) ) ).
fof(rc1_extpro_1, axiom,  (! [A] :  (? [B] :  (l1_extpro_1(B, A) & v1_extpro_1(B, A)) ) ) ).
fof(rc1_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(rc1_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_scmpds_2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_scmpds_2)) & v1_ami_2(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(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finset_1(B)) ) ) ) ) ) ) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(rc2_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) ) ) ) ).
fof(rc2_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_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(rc2_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(rc2_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_afinsq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(A)) ) ).
fof(rc3_compos_0, axiom,  (? [A] :  (v1_compos_0(A) & v5_compos_0(A)) ) ).
fof(rc3_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_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_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(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) ) ) ) ).
fof(rc4_card_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc4_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ).
fof(rc4_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) & v3_extpro_1(B, A)) ) ) ) ) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ).
fof(rc4_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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_afinsq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v6_valued_0(A)) ) ) ) ) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_compos_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_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
fof(rc5_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (? [C] :  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
fof(rc6_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ) ).
fof(rc6_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_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc6_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_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc7_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) ) )  =>  (? [C] :  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) ) ) ) ).
fof(rc7_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v7_ordinal1(A)) ) ).
fof(rc8_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(rc8_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v1_extpro_1(B, A) & v3_extpro_1(B, A)) ) ) ) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(rc9_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd1_finseq_1, axiom,  (! [A] : k1_funct_1(k9_finseq_1(A), 1)=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(rd1_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) => k10_subset_1(A, k6_numbers)=A) ) ).
fof(rd2_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k6_numbers, k6_numbers))=k4_tarski(A, B)) ) ).
fof(rd4_finseq_1, axiom,  (! [A, B, C] : k1_funct_1(k11_finseq_1(A, B, C), 1)=A) ).
fof(rd5_finseq_1, axiom,  (! [A, B, C] : k1_funct_1(k11_finseq_1(A, B, C), 2)=B) ).
fof(rd5_int_1, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k4_numbers)=A) ) ).
fof(rd6_finseq_1, axiom,  (! [A, B, C] : k1_funct_1(k11_finseq_1(A, B, C), 3)=C) ).
fof(rd6_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k4_numbers, k4_numbers))=k4_tarski(A, B)) ) ).
fof(redefinition_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(A)=k9_complex1(A)) ) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => k3_funct_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(redefinition_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => k5_card_1(A)=k6_ordinal1(A)) ) ).
fof(redefinition_k5_compos_0, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_compos_0(A))  & m1_subset_1(B, A))  => k5_compos_0(A, B)=k4_xtuple_0(B)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k9_finseq_1, axiom,  (! [A] : k9_finseq_1(A)=k5_finseq_1(A)) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom, r1_xxreal_0(0, 0)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(0, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r14, axiom, r1_xxreal_0(0, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r4, axiom, r1_xxreal_0(0, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom, r1_xxreal_0(0, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r6, axiom, r1_xxreal_0(0, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r0, axiom,  ~ (r1_xxreal_0(14, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r1, axiom,  ~ (r1_xxreal_0(14, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r14, axiom, r1_xxreal_0(14, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r2, axiom,  ~ (r1_xxreal_0(14, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r3, axiom,  ~ (r1_xxreal_0(14, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r4, axiom,  ~ (r1_xxreal_0(14, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r5, axiom,  ~ (r1_xxreal_0(14, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r6, axiom,  ~ (r1_xxreal_0(14, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(1, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r14, axiom, r1_xxreal_0(1, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom, r1_xxreal_0(1, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r6, axiom, r1_xxreal_0(1, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(2, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r14, axiom, r1_xxreal_0(2, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r4, axiom, r1_xxreal_0(2, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r6, axiom, r1_xxreal_0(2, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom,  ~ (r1_xxreal_0(3, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r14, axiom, r1_xxreal_0(3, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r4, axiom, r1_xxreal_0(3, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r6, axiom, r1_xxreal_0(3, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r0, axiom,  ~ (r1_xxreal_0(4, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r1, axiom,  ~ (r1_xxreal_0(4, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r14, axiom, r1_xxreal_0(4, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r2, axiom,  ~ (r1_xxreal_0(4, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r3, axiom,  ~ (r1_xxreal_0(4, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom, r1_xxreal_0(4, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r5, axiom, r1_xxreal_0(4, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r6, axiom, r1_xxreal_0(4, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r0, axiom,  ~ (r1_xxreal_0(5, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r1, axiom,  ~ (r1_xxreal_0(5, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r14, axiom, r1_xxreal_0(5, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ (r1_xxreal_0(5, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ (r1_xxreal_0(5, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r4, axiom,  ~ (r1_xxreal_0(5, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r6, axiom, r1_xxreal_0(5, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r0, axiom,  ~ (r1_xxreal_0(6, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r1, axiom,  ~ (r1_xxreal_0(6, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r14, axiom, r1_xxreal_0(6, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r2, axiom,  ~ (r1_xxreal_0(6, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r3, axiom,  ~ (r1_xxreal_0(6, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r4, axiom,  ~ (r1_xxreal_0(6, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r5, axiom,  ~ (r1_xxreal_0(6, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r6, axiom, r1_xxreal_0(6, 6)).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r14_r14, axiom, k2_xcmplx_0(0, 14)=14).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3, axiom, k2_xcmplx_0(0, 3)=3).
fof(rqRealAdd__k2_xcmplx_0__r0_r4_r4, axiom, k2_xcmplx_0(0, 4)=4).
fof(rqRealAdd__k2_xcmplx_0__r0_r5_r5, axiom, k2_xcmplx_0(0, 5)=5).
fof(rqRealAdd__k2_xcmplx_0__r0_r6_r6, axiom, k2_xcmplx_0(0, 6)=6).
fof(rqRealAdd__k2_xcmplx_0__r14_r0_r14, axiom, k2_xcmplx_0(14, 0)=14).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
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__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
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__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
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__r4_r0_r4, axiom, k2_xcmplx_0(4, 0)=4).
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__r5_r0_r5, axiom, k2_xcmplx_0(5, 0)=5).
fof(rqRealAdd__k2_xcmplx_0__r5_r1_r6, axiom, k2_xcmplx_0(5, 1)=6).
fof(rqRealAdd__k2_xcmplx_0__r6_r0_r6, axiom, k2_xcmplx_0(6, 0)=6).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc14_numerals, axiom,  (v2_xxreal_0(14) & m1_subset_1(14, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, 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_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, k4_ordinal1)) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t26_scmpds_2, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_scmpds_2)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_scmpds_2), A)=14 &  (! [B] :  (v1_int_1(B) =>  ~ (A=k3_scmpds_2(B)) ) ) ) ) ) ) ).
fof(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t30_scmpds_2, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_scmpds_2)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_scmpds_2), A)=4 &  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ (A=k7_scmpds_2(B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t31_scmpds_2, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_scmpds_2)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_scmpds_2), A)=5 &  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ (A=k8_scmpds_2(B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t32_scmpds_2, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_scmpds_2)) =>  ~ ( (k5_compos_0(u1_compos_1(k1_scmpds_2), A)=6 &  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) =>  ~ (A=k9_scmpds_2(B, C, D)) ) ) ) ) ) ) ) ) ) ) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t54_scmpds_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k3_scmpds_2(B), A), k4_struct_0(k1_scmpds_2))=k17_scmpds_2(A, B) &  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmpds_2)))  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k3_scmpds_2(B), A), C)=k1_funct_1(A, C)) ) ) ) ) ) ) ).
fof(t55_scmpds_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_scmpds_2)))  =>  (! [E] :  ( (v1_ami_2(E) & m1_subset_1(E, u1_struct_0(k1_scmpds_2)))  =>  ( ( ~ (k1_funct_1(A, k2_scmpds_2(k1_funct_1(A, D), B))=k5_numbers)  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k7_scmpds_2(D, B, C), A), k4_struct_0(k1_scmpds_2))=k17_scmpds_2(A, C))  &  ( (k1_funct_1(A, k2_scmpds_2(k1_funct_1(A, D), B))=k5_numbers => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k7_scmpds_2(D, B, C), A), k4_struct_0(k1_scmpds_2))=k1_nat_1(k5_memstr_0(k5_card_1(2), k1_scmpds_2, A), 1))  & k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k7_scmpds_2(D, B, C), A), E)=k1_funct_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t56_scmpds_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_scmpds_2)))  =>  (! [E] :  ( (v1_ami_2(E) & m1_subset_1(E, u1_struct_0(k1_scmpds_2)))  =>  ( (r1_xxreal_0(k1_funct_1(A, k2_scmpds_2(k1_funct_1(A, D), B)), k5_numbers) => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k8_scmpds_2(D, B, C), A), k4_struct_0(k1_scmpds_2))=k17_scmpds_2(A, C))  &  ( ( ~ (r1_xxreal_0(k1_funct_1(A, k2_scmpds_2(k1_funct_1(A, D), B)), k5_numbers))  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k8_scmpds_2(D, B, C), A), k4_struct_0(k1_scmpds_2))=k1_nat_1(k5_memstr_0(k5_card_1(2), k1_scmpds_2, A), 1))  & k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k8_scmpds_2(D, B, C), A), E)=k1_funct_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t57_scmpds_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_scmpds_2)))  =>  (! [E] :  ( (v1_ami_2(E) & m1_subset_1(E, u1_struct_0(k1_scmpds_2)))  =>  ( (r1_xxreal_0(k5_numbers, k1_funct_1(A, k2_scmpds_2(k1_funct_1(A, D), B))) => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k9_scmpds_2(D, B, C), A), k4_struct_0(k1_scmpds_2))=k17_scmpds_2(A, C))  &  ( ( ~ (r1_xxreal_0(k5_numbers, k1_funct_1(A, k2_scmpds_2(k1_funct_1(A, D), B))))  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k9_scmpds_2(D, B, C), A), k4_struct_0(k1_scmpds_2))=k1_nat_1(k5_memstr_0(k5_card_1(2), k1_scmpds_2, A), 1))  & k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k9_scmpds_2(D, B, C), A), E)=k1_funct_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t86_scmpds_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k1_scmpds_2)) =>  (k5_compos_0(u1_compos_1(k1_scmpds_2), B)=k5_numbers => k2_extpro_1(k5_card_1(2), k1_scmpds_2, B, A)=A) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
fof(t8_scmpds_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(B, u1_struct_0(k1_scmpds_2))) ) ) )  =>  ( (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmpds_2)))  => k1_funct_1(A, C)=k1_funct_1(B, C)) )  <=> k6_memstr_0(k5_card_1(2), k1_scmpds_2, A)=k6_memstr_0(k5_card_1(2), k1_scmpds_2, B)) ) ) ) ) ).
