% Mizar problem: t34_scmisort,scmisort,2935,5 
fof(t34_scmisort, conjecture,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(A, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  (! [B] :  (m2_finseq_1(B, k4_numbers) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  ~ ( (r1_tarski(k1_funct_4(k8_memstr_0(k5_card_1(3), k1_scmfsa_2, k17_funcop_1(k4_scmfsa_2(k5_numbers), 1)), k17_funcop_1(k5_scmfsa_2(k5_numbers), B)), A) &  (r1_tarski(k3_scmisort, C) &  (! [D] :  (m2_finseq_1(D, k1_numbers) =>  ~ ( (r2_classes1(B, D) &  (v10_valued_0(D) &  (m2_finseq_1(D, k4_numbers) & k18_scmfsa_2(k6_extpro_1(k5_card_1(3), k1_scmfsa_2, C, A), k5_scmfsa_2(k5_numbers))=D) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_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_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_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(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_k7_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k7_domain_1(A, B, C)=k7_domain_1(A, C, B)) ) ).
fof(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_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] :  (v7_ordinal1(C) => k7_memstr_0(A, B, C)=k17_funcop_1(k4_struct_0(B), C)) ) ) ) ) ) ).
fof(d13_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))) ) )  => k8_memstr_0(A, B, C)=k1_funct_4(C, k7_memstr_0(A, B, k5_numbers))) ) ) ) ) ) ).
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(d1_scmfsa_m, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) & v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2))) ) )  => k1_scmfsa_m(A)=k1_funct_4(A, k8_memstr_0(k5_card_1(3), k1_scmfsa_2, k17_funcop_1(k4_scmfsa_2(k5_numbers), 1)))) ) ).
fof(d1_tarski, axiom,  (! [A] :  (! [B] :  (B=k1_tarski(A) <=>  (! [C] :  (r2_hidden(C, B) <=> C=A) ) ) ) ) ).
fof(d2_funcop_1, axiom,  (! [A] :  (! [B] : k2_funcop_1(A, B)=k2_zfmisc_1(A, k1_tarski(B))) ) ).
fof(d2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) => k2_memstr_0(A, B)=k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))) ) ) ) ).
fof(d2_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(d2_tarski, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k2_tarski(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (D=A | D=B) ) ) ) ) ) ) ).
fof(d3_scmisort, axiom, k3_scmisort=k2_scmisort(k5_scmfsa_2(k5_numbers))).
fof(d6_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_scmfsa_2(A)=k10_ami_3(A)) ) ).
fof(d7_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) => k5_scmfsa_2(A)=k4_xcmplx_0(k1_nat_1(A, 1))) ) ).
fof(d9_funcop_1, axiom,  (! [A] :  (! [B] : k17_funcop_1(A, B)=k7_funcop_1(k1_tarski(A), B)) ) ).
fof(dt_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (v1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A) & l1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A)) ) ) ).
fof(dt_k10_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_k17_funcop_1, axiom, $true).
fof(dt_k18_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(A, u1_struct_0(k1_scmfsa_2))) ) ) )  & m1_scmfsa_2(B))  => m2_finseq_1(k18_scmfsa_2(A, B), k4_numbers)) ) ).
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_1, axiom, $true).
fof(dt_k1_funct_2, axiom, $true).
fof(dt_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ).
fof(dt_k1_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_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => m1_subset_1(k1_relset_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k1_scmfsa6b, 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)) ) ) ) ) )  &  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(B, u1_struct_0(k1_scmfsa_2))) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) ) ) )  =>  (v1_relat_1(k1_scmfsa6b(A, B, C)) &  (v4_relat_1(k1_scmfsa6b(A, B, C), u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa6b(A, B, C)) &  (v5_funct_1(k1_scmfsa6b(A, B, C), k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(k1_scmfsa6b(A, B, C), u1_struct_0(k1_scmfsa_2))) ) ) ) ) ) ).
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_scmfsa_m, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) & v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2))) ) )  =>  (v1_relat_1(k1_scmfsa_m(A)) &  (v4_relat_1(k1_scmfsa_m(A), u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa_m(A)) & v5_funct_1(k1_scmfsa_m(A), k2_memstr_0(k5_card_1(3), k1_scmfsa_2))) ) ) ) ) ).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_funcop_1, axiom, $true).
fof(dt_k2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ).
fof(dt_k2_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_tarski, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k3_finseq_1(A), k4_ordinal1)) ) ).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_scmisort, axiom,  ( ~ (v1_xboole_0(k3_scmisort))  &  (v1_relat_1(k3_scmisort) &  (v4_relat_1(k3_scmisort, k4_ordinal1) &  (v5_relat_1(k3_scmisort, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k3_scmisort) &  (v1_finset_1(k3_scmisort) & v1_afinsq_1(k3_scmisort)) ) ) ) ) ) ).
fof(dt_k3_xtuple_0, axiom, $true).
fof(dt_k4_card_3, axiom, $true).
fof(dt_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => m1_subset_1(k4_finseq_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
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_k4_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(k4_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
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_k5_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) => m1_scmfsa_2(k5_scmfsa_2(A))) ) ).
fof(dt_k6_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  &  (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(k6_extpro_1(A, B, C, D)) &  (v4_relat_1(k6_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k6_extpro_1(A, B, C, D)) &  (v5_funct_1(k6_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k6_extpro_1(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
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_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k7_domain_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k7_funcop_1, axiom,  (! [A, B] :  (v1_funct_1(k7_funcop_1(A, B)) &  (v1_funct_2(k7_funcop_1(A, B), A, k1_tarski(B)) & m1_subset_1(k7_funcop_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) ) ) ).
fof(dt_k7_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)) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k7_memstr_0(A, B, C)) &  (v4_relat_1(k7_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k7_memstr_0(A, B, C)) & v5_funct_1(k7_memstr_0(A, B, C), k2_memstr_0(A, B))) ) ) ) ) ).
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_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))) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) & v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B))) ) ) ) ) ).
fof(dt_k8_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => m1_subset_1(k8_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_l1_compos_1, axiom, $true).
fof(dt_l1_extpro_1, axiom,  (! [A] :  (! [B] :  (l1_extpro_1(B, A) =>  (l1_memstr_0(B, A) & l1_compos_1(B)) ) ) ) ).
fof(dt_l1_memstr_0, axiom,  (! [A] :  (! [B] :  (l1_memstr_0(B, A) => l2_struct_0(B)) ) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_m1_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) =>  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
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_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) =>  (v1_funct_1(B) &  (v1_finseq_1(B) & m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A)))) ) ) ) ) ).
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_finseq_1, axiom,  (! [A] :  (? [B] : m1_finseq_1(B, 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(existence_m2_finseq_1, axiom,  (! [A] :  (? [B] : m2_finseq_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_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(C, B)) &  (v4_relat_1(k1_funct_4(C, B), A) &  (v1_funct_1(k1_funct_4(C, B)) & v1_partfun1(k1_funct_4(C, B), A)) ) ) ) ) ).
fof(fc10_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)) ) )  & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k7_memstr_0(A, B, C)))  &  (v1_relat_1(k7_memstr_0(A, B, C)) &  (v4_relat_1(k7_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k7_memstr_0(A, B, C)) &  (v5_funct_1(k7_memstr_0(A, B, C), k2_memstr_0(A, B)) & v5_memstr_0(k7_memstr_0(A, B, C), A, B, C)) ) ) ) ) ) ) ).
fof(fc10_nat_1, axiom,  (! [A, B] :  (v3_ordinal1(A) => v5_ordinal1(k2_funcop_1(A, B))) ) ).
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_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => v9_struct_0(k4_struct_0(A), 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_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => v2_relat_1(k2_funcop_1(A, B))) ) ).
fof(fc11_funct_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) )  & m1_subset_1(B, k9_xtuple_0(A)))  =>  ~ (v1_xboole_0(k1_funct_1(A, B))) ) ) ).
fof(fc11_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v5_relat_1(k1_funct_4(B, C), A) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(fc11_memstr_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v7_ordinal1(C) &  ( (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_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v5_memstr_0(E, A, B, C)) ) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(D, E)) &  (v1_funct_1(k1_funct_4(D, E)) & v5_memstr_0(k1_funct_4(D, E), A, B, C)) ) ) ) ).
fof(fc11_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  => v1_setfam_1(k1_tarski(A))) ) ).
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_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k17_funcop_1(A, B)) & v1_funct_1(k17_funcop_1(A, B))) ) ).
fof(fc12_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_funct_1(B, A)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, A)) ) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v1_funct_1(k1_funct_4(B, C)) & v5_funct_1(k1_funct_4(B, C), A)) ) ) ) ).
fof(fc12_memstr_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v7_ordinal1(C) &  ( (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)) & v5_memstr_0(D, A, B, C)) ) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v4_memstr_0(E, A, B)) ) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(D, E)) &  (v1_funct_1(k1_funct_4(D, E)) & v5_memstr_0(k1_funct_4(D, E), A, B, C)) ) ) ) ).
fof(fc12_nat_1, axiom,  (! [A, B] :  ( ( ~ (v8_ordinal1(A))  &  ~ (v8_ordinal1(B)) )  => v1_setfam_1(k2_tarski(A, B))) ) ).
fof(fc12_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(B, A))) ) ) ).
fof(fc12_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_scmfsa_m, axiom,  (! [A, B] :  ( (m1_scmfsa_2(A) & m1_finseq_1(B, k4_numbers))  => v5_funct_1(k17_funcop_1(A, B), k2_memstr_0(k5_card_1(3), k1_scmfsa_2))) ) ).
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_card_3, axiom,  (! [A, B] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k2_funcop_1(A, B))) ) ) ).
fof(fc13_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  =>  ( ~ (v1_xboole_0(k11_compos_1(A, B)))  &  (v1_relat_1(k11_compos_1(A, B)) &  (v4_relat_1(k11_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k11_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k11_compos_1(A, B)) &  (v1_finset_1(k11_compos_1(A, B)) & v1_afinsq_1(k11_compos_1(A, B))) ) ) ) ) ) ) ) ).
fof(fc13_funcop_1, axiom,  (! [A, B] : v2_funct_1(k17_funcop_1(A, B))) ).
fof(fc13_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))) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) &  (v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B)) & v5_memstr_0(k8_memstr_0(A, B, C), A, B, k5_numbers)) ) ) ) ) ) ).
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_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc14_funct_4, axiom,  (! [A, B] : v1_zfmisc_1(k17_funcop_1(A, B))) ).
fof(fc14_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)) & v1_partfun1(C, u1_struct_0(B))) ) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) &  (v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_partfun1(k8_memstr_0(A, B, C), u1_struct_0(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_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) & v1_funct_1(B)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, A)) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v1_funct_1(k1_funct_4(B, C)) &  ~ (v2_compos_1(k1_funct_4(B, C), A)) ) ) ) ) ).
fof(fc15_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k2_funcop_1(A, B))) ) ).
fof(fc15_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v4_funct_1(k2_tarski(A, B))) ) ).
fof(fc15_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(fc15_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_funcop_1, axiom,  (! [A, B] : v3_funct_1(k2_funcop_1(A, B))) ).
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(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc17_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A))) ) ).
fof(fc17_funct_1, axiom,  (! [A, B, C] :  ( (v4_funct_1(A) &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_1(C, B)) & v1_funct_1(k1_funct_1(C, B))) ) ) ).
fof(fc17_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_funcop_1, axiom,  (! [A, B] : v4_relat_1(k2_funcop_1(A, B), A)) ).
fof(fc18_funct_1, axiom,  (! [A] :  ( ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  ~ (v1_zfmisc_1(k9_xtuple_0(A))) ) ) ).
fof(fc18_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)) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k7_memstr_0(A, B, C)) &  (v4_relat_1(k7_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k7_memstr_0(A, B, C)) &  (v5_funct_1(k7_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_finset_1(k7_memstr_0(A, B, C))) ) ) ) ) ) ).
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_finset_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_finset_1(A))  => v1_finset_1(k9_xtuple_0(A))) ) ).
fof(fc19_funcop_1, axiom,  (! [A, B] : v4_relat_1(k17_funcop_1(A, B), k1_tarski(A))) ).
fof(fc19_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v3_relat_1(A) & v1_funct_1(A)) )  => v1_xboole_0(k1_funct_1(A, B))) ) ).
fof(fc19_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_scmfsa_2, axiom,  (! [A, B] :  ( (m1_scmfsa_2(A) & m1_finseq_1(B, k4_numbers))  =>  (v1_relat_1(k17_funcop_1(A, B)) &  (v4_relat_1(k17_funcop_1(A, B), u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(k17_funcop_1(A, B)) &  (v5_funct_1(k17_funcop_1(A, B), k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v4_memstr_0(k17_funcop_1(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ).
fof(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_finset_1, axiom,  (! [A] : v1_finset_1(k1_tarski(A))) ).
fof(fc1_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) & v1_funct_1(k2_funcop_1(A, B))) ) ).
fof(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_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_scmfsa_m, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v1_int_1(B))  => v5_funct_1(k17_funcop_1(k4_scmfsa_2(A), B), k2_memstr_0(k5_card_1(3), k1_scmfsa_2))) ) ).
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(fc20_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k17_funcop_1(A, B))) ) ).
fof(fc20_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)) & v1_finset_1(C)) ) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) &  (v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_finset_1(k8_memstr_0(A, B, C))) ) ) ) ) ) ).
fof(fc20_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & v1_int_1(B))  =>  (v1_relat_1(k17_funcop_1(A, B)) &  (v4_relat_1(k17_funcop_1(A, B), u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(k17_funcop_1(A, B)) &  (v5_funct_1(k17_funcop_1(A, B), k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v4_memstr_0(k17_funcop_1(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ).
fof(fc21_finset_1, axiom,  (! [A, B] : v1_finset_1(k17_funcop_1(A, B))) ).
fof(fc21_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) & v1_partfun1(k2_funcop_1(A, B), A)) ) ) ) ).
fof(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_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => v5_relat_1(k17_funcop_1(B, C), A)) ) ).
fof(fc22_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_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(C, B))  => v5_relat_1(k2_funcop_1(A, C), B)) ) ).
fof(fc23_scmfsa10, axiom,  (v1_extpro_1(k1_scmfsa_2, k5_card_1(3)) & v3_amistd_1(k1_scmfsa_2, k5_card_1(3))) ).
fof(fc23_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v6_compos_0(k8_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc24_finset_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_finset_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc24_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v4_relat_1(k17_funcop_1(B, C), A)) ) ).
fof(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_card_3, axiom,  (! [A, B] :  (v1_card_1(B) => v1_card_3(k2_funcop_1(A, B))) ) ).
fof(fc2_finset_1, axiom,  (! [A, B] : v1_finset_1(k2_tarski(A, B))) ).
fof(fc2_funcop_1, axiom,  (! [A] : v1_xboole_0(k2_funcop_1(k1_xboole_0, A))) ).
fof(fc2_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc2_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_m, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) & v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2))) ) )  =>  (v1_relat_1(k1_scmfsa_m(A)) &  (v4_relat_1(k1_scmfsa_m(A), u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa_m(A)) &  (v5_funct_1(k1_scmfsa_m(A), k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v5_memstr_0(k1_scmfsa_m(A), k5_card_1(3), k1_scmfsa_2, k5_numbers)) ) ) ) ) ) ).
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_finset_1, axiom,  (! [A] :  (v1_finset_1(A) => v5_finset_1(k1_tarski(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(fc32_finset_1, axiom,  (! [A, B] :  ( (v1_finset_1(A) & v1_finset_1(B))  => v5_finset_1(k2_tarski(A, B))) ) ).
fof(fc35_finset_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finset_1(A)) )  => v1_finset_1(k1_funct_1(A, B))) ) ).
fof(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_card_3, axiom,  (! [A, B] :  (v1_card_1(B) => v1_card_3(k17_funcop_1(A, B))) ) ).
fof(fc3_funcop_1, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k2_funcop_1(B, A))) ) ).
fof(fc3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A))) ) ) ).
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_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_scmfsa_m, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(k1_scmfsa_m(A)) &  (v4_relat_1(k1_scmfsa_m(A), u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa_m(A)) &  (v5_funct_1(k1_scmfsa_m(A), k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_finset_1(k1_scmfsa_m(A))) ) ) ) ) ) ).
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(fc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A))) ) ) ).
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_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k2_funcop_1(B, A))) ) ) ).
fof(fc4_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) &  ~ (v1_xboole_0(k1_funct_4(A, B))) ) ) ) ) ).
fof(fc4_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc4_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_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(A, u1_struct_0(k1_scmfsa_2))) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc4_scmfsa_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(fc4_scmfsa_m, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(A, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  (v1_relat_1(k1_scmfsa_m(A)) &  (v4_relat_1(k1_scmfsa_m(A), u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa_m(A)) &  (v5_funct_1(k1_scmfsa_m(A), k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(k1_scmfsa_m(A), u1_struct_0(k1_scmfsa_2))) ) ) ) ) ) ).
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_ami_3, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_ami_3)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(A, u1_struct_0(k1_ami_3))) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_ami_3))) )  => v1_int_1(k1_funct_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_funcop_1, axiom,  (! [A] : v3_relat_1(k2_funcop_1(A, k1_xboole_0))) ).
fof(fc5_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (v1_relat_1(k1_funct_4(B, A)) &  (v1_funct_1(k1_funct_4(B, A)) &  ~ (v1_xboole_0(k1_funct_4(B, A))) ) ) ) ) ).
fof(fc5_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_scmfsa8a, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_scmfsa7b(A)) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_scmfsa7b(B)) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_scmfsa7b(k1_funct_4(A, B))) ) ) ) ).
fof(fc5_scmfsa_2, axiom,  (v3_memstr_0(k1_scmfsa_2, k5_card_1(3)) & v1_extpro_1(k1_scmfsa_2, k5_card_1(3))) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(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_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_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_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_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_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_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(fc67_valued_0, axiom,  (! [A, B] :  (v1_xcmplx_0(B) => v1_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc68_valued_0, axiom,  (! [A, B] :  (v1_xxreal_0(B) => v2_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc69_valued_0, axiom,  (! [A, B] :  (v1_xreal_0(B) => v3_valued_0(k2_funcop_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_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v2_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(1))).
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(fc70_valued_0, axiom,  (! [A, B] :  (v1_rat_1(B) => v4_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc71_valued_0, axiom,  (! [A, B] :  (v1_int_1(B) => v5_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc72_valued_0, axiom,  (! [A, B] :  (v7_ordinal1(B) => v6_valued_0(k2_funcop_1(A, B))) ) ).
fof(fc73_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc74_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v2_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc75_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v3_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc76_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v4_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v4_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc77_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v5_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v5_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc78_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v6_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v6_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc79_valued_0, axiom,  (! [A, B] :  (v1_xcmplx_0(B) => v1_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc7_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_card_3(k1_tarski(A))) ) ).
fof(fc7_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc7_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_funcop_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_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(fc80_valued_0, axiom,  (! [A, B] :  (v1_xxreal_0(B) => v2_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc81_valued_0, axiom,  (! [A, B] :  (v1_xreal_0(B) => v3_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc82_valued_0, axiom,  (! [A, B] :  (v1_rat_1(B) => v4_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc83_valued_0, axiom,  (! [A, B] :  (v1_int_1(B) => v5_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc84_valued_0, axiom,  (! [A, B] :  (v7_ordinal1(B) => v6_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc8_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v4_relat_1(k1_funct_4(B, C), A) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) &  (v4_relat_1(k3_relat_1(A, C), k4_ordinal1) &  (v5_relat_1(k3_relat_1(A, C), B) & v1_funct_1(k3_relat_1(A, C))) ) ) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc8_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_scmfsa_m, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  & v7_ordinal1(B))  =>  (v1_relat_1(k17_funcop_1(A, B)) &  (v4_relat_1(k17_funcop_1(A, B), u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(k17_funcop_1(A, B)) &  (v5_funct_1(k17_funcop_1(A, B), k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v4_memstr_0(k17_funcop_1(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ).
fof(fc8_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_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc9_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v4_relat_1(k1_funct_4(B, C), A) &  (v1_funct_1(k1_funct_4(B, C)) & v1_partfun1(k1_funct_4(B, C), A)) ) ) ) ) ).
fof(fc9_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) & v1_partfun1(k3_relat_1(A, C), k4_ordinal1)) ) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_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(idempotence_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, A)=A) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k1_scmfsa_m, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) & v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2))) ) )  => k1_scmfsa_m(k1_scmfsa_m(A))=k1_scmfsa_m(A)) ) ).
fof(projectivity_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(k3_finseq_1(A))=k3_finseq_1(A)) ) ).
fof(projectivity_k8_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))) ) ) ) )  => k8_memstr_0(A, B, k8_memstr_0(A, B, C))=k8_memstr_0(A, B, C)) ) ).
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(rc17_struct_0, axiom,  (! [A] :  (l2_struct_0(A) =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) & v9_struct_0(B, A)) ) ) ) ).
fof(rc19_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  =>  (? [B] :  (m1_subset_1(B, u1_struct_0(A)) &  ~ (v9_struct_0(B, 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_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(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_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)) ) )  & v7_ordinal1(C)) )  =>  (? [D] :  ( ~ (v1_xboole_0(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)) & v5_memstr_0(D, A, B, 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_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_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_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)) ) )  & v7_ordinal1(C)) )  =>  (? [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_finset_1(D) &  (v4_card_3(D) & v5_memstr_0(D, A, B, C)) ) ) ) ) ) ) ) ) ).
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_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => k1_funct_1(k2_funcop_1(A, B), C)=B) ) ).
fof(rd1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_xboole_0(B)) ) )  => k1_funct_4(B, A)=A) ) ).
fof(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(rd2_funcop_1, axiom,  (! [A, B] : k9_xtuple_0(k2_funcop_1(A, B))=A) ).
fof(rd2_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_xboole_0(B)) ) )  => k1_funct_4(A, B)=A) ) ).
fof(rd4_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(k1_funct_4(A, B), B)=k1_funct_4(A, B)) ) ).
fof(rd5_int_1, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k4_numbers)=A) ) ).
fof(redefinition_k18_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(A, u1_struct_0(k1_scmfsa_2))) ) ) )  & m1_scmfsa_2(B))  => k18_scmfsa_2(A, B)=k1_funct_1(A, B)) ) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_k1_relset_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k1_relset_1(A, B)=k9_xtuple_0(B)) ) ).
fof(redefinition_k3_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k3_finseq_1(A)=k1_card_1(A)) ) ).
fof(redefinition_k4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => k4_finseq_1(A)=k9_xtuple_0(A)) ) ).
fof(redefinition_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => k5_card_1(A)=k6_ordinal1(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k7_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k7_domain_1(A, B, C)=k2_tarski(B, C)) ) ).
fof(redefinition_k7_funcop_1, axiom,  (! [A, B] : k7_funcop_1(A, B)=k2_funcop_1(A, B)) ).
fof(redefinition_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) <=> m1_finseq_1(B, A)) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(redefinition_r8_pboole, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  =>  (r8_pboole(A, B, C) <=> B=C) ) ) ).
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(reflexivity_r2_classes1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => r2_classes1(A, A)) ) ).
fof(reflexivity_r8_pboole, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  => r8_pboole(A, B, B)) ) ).
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_r10, axiom, r1_xxreal_0(0, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r11, axiom, r1_xxreal_0(0, 11)).
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__r0_r9, axiom, r1_xxreal_0(0, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm10, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm11, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(11))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm3, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm4, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm5, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm6, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm9, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(9))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r0, axiom,  ~ (r1_xxreal_0(10, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r1, axiom,  ~ (r1_xxreal_0(10, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r10, axiom, r1_xxreal_0(10, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r11, axiom, r1_xxreal_0(10, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r10_r2, axiom,  ~ (r1_xxreal_0(10, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r3, axiom,  ~ (r1_xxreal_0(10, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r4, axiom,  ~ (r1_xxreal_0(10, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r5, axiom,  ~ (r1_xxreal_0(10, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r6, axiom,  ~ (r1_xxreal_0(10, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_r9, axiom,  ~ (r1_xxreal_0(10, 9)) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm1, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm10, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm2, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm5, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r10_rm6, axiom,  ~ (r1_xxreal_0(10, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r0, axiom,  ~ (r1_xxreal_0(11, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r1, axiom,  ~ (r1_xxreal_0(11, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r10, axiom,  ~ (r1_xxreal_0(11, 10)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r11, axiom, r1_xxreal_0(11, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r11_r2, axiom,  ~ (r1_xxreal_0(11, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r3, axiom,  ~ (r1_xxreal_0(11, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r4, axiom,  ~ (r1_xxreal_0(11, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r5, axiom,  ~ (r1_xxreal_0(11, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r6, axiom,  ~ (r1_xxreal_0(11, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_r9, axiom,  ~ (r1_xxreal_0(11, 9)) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_rm1, axiom,  ~ (r1_xxreal_0(11, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r11_rm11, axiom,  ~ (r1_xxreal_0(11, k4_xcmplx_0(11))) ).
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_r10, axiom, r1_xxreal_0(1, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r11, axiom, r1_xxreal_0(1, 11)).
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__r1_r9, axiom, r1_xxreal_0(1, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm10, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm3, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm4, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm5, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm6, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm9, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(9))) ).
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_r10, axiom, r1_xxreal_0(2, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r11, axiom, r1_xxreal_0(2, 11)).
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__r2_r9, axiom, r1_xxreal_0(2, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm3, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm4, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm5, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm6, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm9, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(9))) ).
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_r10, axiom, r1_xxreal_0(3, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r11, axiom, r1_xxreal_0(3, 11)).
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__r3_r9, axiom, r1_xxreal_0(3, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm1, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm2, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm3, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm4, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm5, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm6, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(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_r10, axiom, r1_xxreal_0(4, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r11, axiom, r1_xxreal_0(4, 11)).
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__r4_r9, axiom, r1_xxreal_0(4, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm1, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm10, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm2, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm3, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm4, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm5, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_rm6, axiom,  ~ (r1_xxreal_0(4, k4_xcmplx_0(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_r10, axiom, r1_xxreal_0(5, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r11, axiom, r1_xxreal_0(5, 11)).
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__r5_r9, axiom, r1_xxreal_0(5, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm1, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm10, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm2, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm3, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm4, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm5, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(5))) ).
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_r10, axiom, r1_xxreal_0(6, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r11, axiom, r1_xxreal_0(6, 11)).
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(rqLessOrEqual__r1_xxreal_0__r6_r9, axiom, r1_xxreal_0(6, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm1, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm11, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(11))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm2, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm3, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm4, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm5, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_rm6, axiom,  ~ (r1_xxreal_0(6, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r0, axiom,  ~ (r1_xxreal_0(9, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r1, axiom,  ~ (r1_xxreal_0(9, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r10, axiom, r1_xxreal_0(9, 10)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r11, axiom, r1_xxreal_0(9, 11)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r2, axiom,  ~ (r1_xxreal_0(9, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r3, axiom,  ~ (r1_xxreal_0(9, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r4, axiom,  ~ (r1_xxreal_0(9, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r5, axiom,  ~ (r1_xxreal_0(9, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r6, axiom,  ~ (r1_xxreal_0(9, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r9, axiom, r1_xxreal_0(9, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm1, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm2, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm3, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm5, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm6, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_rm9, axiom,  ~ (r1_xxreal_0(9, k4_xcmplx_0(9))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r0, axiom, r1_xxreal_0(k4_xcmplx_0(10), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r1, axiom, r1_xxreal_0(k4_xcmplx_0(10), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r10, axiom, r1_xxreal_0(k4_xcmplx_0(10), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r2, axiom, r1_xxreal_0(k4_xcmplx_0(10), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_r5, axiom, r1_xxreal_0(k4_xcmplx_0(10), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm10_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(10), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm10_rm10, axiom, r1_xxreal_0(k4_xcmplx_0(10), k4_xcmplx_0(10))).
fof(rqLessOrEqual__r1_xxreal_0__rm10_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(10), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm11_r0, axiom, r1_xxreal_0(k4_xcmplx_0(11), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm11_r11, axiom, r1_xxreal_0(k4_xcmplx_0(11), 11)).
fof(rqLessOrEqual__r1_xxreal_0__rm11_r6, axiom, r1_xxreal_0(k4_xcmplx_0(11), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm11_rm11, axiom, r1_xxreal_0(k4_xcmplx_0(11), k4_xcmplx_0(11))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom, r1_xxreal_0(k4_xcmplx_0(1), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom, r1_xxreal_0(k4_xcmplx_0(1), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r10, axiom, r1_xxreal_0(k4_xcmplx_0(1), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r11, axiom, r1_xxreal_0(k4_xcmplx_0(1), 11)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom, r1_xxreal_0(k4_xcmplx_0(1), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r3, axiom, r1_xxreal_0(k4_xcmplx_0(1), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r4, axiom, r1_xxreal_0(k4_xcmplx_0(1), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r5, axiom, r1_xxreal_0(k4_xcmplx_0(1), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r6, axiom, r1_xxreal_0(k4_xcmplx_0(1), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r9, axiom, r1_xxreal_0(k4_xcmplx_0(1), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm10, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(10))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm4, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(4))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm5, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom, r1_xxreal_0(k4_xcmplx_0(2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom, r1_xxreal_0(k4_xcmplx_0(2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r10, axiom, r1_xxreal_0(k4_xcmplx_0(2), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom, r1_xxreal_0(k4_xcmplx_0(2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r3, axiom, r1_xxreal_0(k4_xcmplx_0(2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r4, axiom, r1_xxreal_0(k4_xcmplx_0(2), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r5, axiom, r1_xxreal_0(k4_xcmplx_0(2), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r6, axiom, r1_xxreal_0(k4_xcmplx_0(2), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r9, axiom, r1_xxreal_0(k4_xcmplx_0(2), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r0, axiom, r1_xxreal_0(k4_xcmplx_0(3), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r1, axiom, r1_xxreal_0(k4_xcmplx_0(3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r2, axiom, r1_xxreal_0(k4_xcmplx_0(3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r3, axiom, r1_xxreal_0(k4_xcmplx_0(3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r4, axiom, r1_xxreal_0(k4_xcmplx_0(3), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r6, axiom, r1_xxreal_0(k4_xcmplx_0(3), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r9, axiom, r1_xxreal_0(k4_xcmplx_0(3), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm3, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(3))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm6, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(6))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r0, axiom, r1_xxreal_0(k4_xcmplx_0(4), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r1, axiom, r1_xxreal_0(k4_xcmplx_0(4), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r2, axiom, r1_xxreal_0(k4_xcmplx_0(4), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r3, axiom, r1_xxreal_0(k4_xcmplx_0(4), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r4, axiom, r1_xxreal_0(k4_xcmplx_0(4), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_r5, axiom, r1_xxreal_0(k4_xcmplx_0(4), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm4_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(4), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r0, axiom, r1_xxreal_0(k4_xcmplx_0(5), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r1, axiom, r1_xxreal_0(k4_xcmplx_0(5), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r10, axiom, r1_xxreal_0(k4_xcmplx_0(5), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r2, axiom, r1_xxreal_0(k4_xcmplx_0(5), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r3, axiom, r1_xxreal_0(k4_xcmplx_0(5), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r4, axiom, r1_xxreal_0(k4_xcmplx_0(5), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r5, axiom, r1_xxreal_0(k4_xcmplx_0(5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r6, axiom, r1_xxreal_0(k4_xcmplx_0(5), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm4, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(4))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r0, axiom, r1_xxreal_0(k4_xcmplx_0(6), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r1, axiom, r1_xxreal_0(k4_xcmplx_0(6), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r10, axiom, r1_xxreal_0(k4_xcmplx_0(6), 10)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r2, axiom, r1_xxreal_0(k4_xcmplx_0(6), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r3, axiom, r1_xxreal_0(k4_xcmplx_0(6), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r4, axiom, r1_xxreal_0(k4_xcmplx_0(6), 4)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r6, axiom, r1_xxreal_0(k4_xcmplx_0(6), 6)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_r9, axiom, r1_xxreal_0(k4_xcmplx_0(6), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm6_rm3, axiom, r1_xxreal_0(k4_xcmplx_0(6), k4_xcmplx_0(3))).
fof(rqLessOrEqual__r1_xxreal_0__rm6_rm6, axiom, r1_xxreal_0(k4_xcmplx_0(6), k4_xcmplx_0(6))).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r0, axiom, r1_xxreal_0(k4_xcmplx_0(9), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r1, axiom, r1_xxreal_0(k4_xcmplx_0(9), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r2, axiom, r1_xxreal_0(k4_xcmplx_0(9), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_r9, axiom, r1_xxreal_0(k4_xcmplx_0(9), 9)).
fof(rqLessOrEqual__r1_xxreal_0__rm9_rm9, axiom, r1_xxreal_0(k4_xcmplx_0(9), k4_xcmplx_0(9))).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r10_r10, axiom, k2_xcmplx_0(0, 10)=10).
fof(rqRealAdd__k2_xcmplx_0__r0_r11_r11, axiom, k2_xcmplx_0(0, 11)=11).
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__r0_r9_r9, axiom, k2_xcmplx_0(0, 9)=9).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(0, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom, k2_xcmplx_0(0, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3, axiom, k2_xcmplx_0(0, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm4_rm4, axiom, k2_xcmplx_0(0, k4_xcmplx_0(4))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r10_r0_r10, axiom, k2_xcmplx_0(10, 0)=10).
fof(rqRealAdd__k2_xcmplx_0__r10_r1_r11, axiom, k2_xcmplx_0(10, 1)=11).
fof(rqRealAdd__k2_xcmplx_0__r10_rm10_r0, axiom, k2_xcmplx_0(10, k4_xcmplx_0(10))=0).
fof(rqRealAdd__k2_xcmplx_0__r10_rm11_rm1, axiom, k2_xcmplx_0(10, k4_xcmplx_0(11))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r10_rm1_r9, axiom, k2_xcmplx_0(10, k4_xcmplx_0(1))=9).
fof(rqRealAdd__k2_xcmplx_0__r10_rm4_r6, axiom, k2_xcmplx_0(10, k4_xcmplx_0(4))=6).
fof(rqRealAdd__k2_xcmplx_0__r10_rm5_r5, axiom, k2_xcmplx_0(10, k4_xcmplx_0(5))=5).
fof(rqRealAdd__k2_xcmplx_0__r10_rm6_r4, axiom, k2_xcmplx_0(10, k4_xcmplx_0(6))=4).
fof(rqRealAdd__k2_xcmplx_0__r10_rm9_r1, axiom, k2_xcmplx_0(10, k4_xcmplx_0(9))=1).
fof(rqRealAdd__k2_xcmplx_0__r11_r0_r11, axiom, k2_xcmplx_0(11, 0)=11).
fof(rqRealAdd__k2_xcmplx_0__r11_rm10_r1, axiom, k2_xcmplx_0(11, k4_xcmplx_0(10))=1).
fof(rqRealAdd__k2_xcmplx_0__r11_rm11_r0, axiom, k2_xcmplx_0(11, k4_xcmplx_0(11))=0).
fof(rqRealAdd__k2_xcmplx_0__r11_rm1_r10, axiom, k2_xcmplx_0(11, k4_xcmplx_0(1))=10).
fof(rqRealAdd__k2_xcmplx_0__r11_rm2_r9, axiom, k2_xcmplx_0(11, k4_xcmplx_0(2))=9).
fof(rqRealAdd__k2_xcmplx_0__r11_rm5_r6, axiom, k2_xcmplx_0(11, k4_xcmplx_0(5))=6).
fof(rqRealAdd__k2_xcmplx_0__r11_rm6_r5, axiom, k2_xcmplx_0(11, k4_xcmplx_0(6))=5).
fof(rqRealAdd__k2_xcmplx_0__r11_rm9_r2, axiom, k2_xcmplx_0(11, k4_xcmplx_0(9))=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r10_r11, axiom, k2_xcmplx_0(1, 10)=11).
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_r9_r10, axiom, k2_xcmplx_0(1, 9)=10).
fof(rqRealAdd__k2_xcmplx_0__r1_rm10_rm9, axiom, k2_xcmplx_0(1, k4_xcmplx_0(10))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm11_rm10, axiom, k2_xcmplx_0(1, k4_xcmplx_0(11))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2, axiom, k2_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm4_rm3, axiom, k2_xcmplx_0(1, k4_xcmplx_0(4))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm5_rm4, axiom, k2_xcmplx_0(1, k4_xcmplx_0(5))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm6_rm5, axiom, k2_xcmplx_0(1, k4_xcmplx_0(6))=k4_xcmplx_0(5)).
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__r2_r9_r11, axiom, k2_xcmplx_0(2, 9)=11).
fof(rqRealAdd__k2_xcmplx_0__r2_rm11_rm9, axiom, k2_xcmplx_0(2, k4_xcmplx_0(11))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(2, k4_xcmplx_0(2))=0).
fof(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm4_rm2, axiom, k2_xcmplx_0(2, k4_xcmplx_0(4))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm5_rm3, axiom, k2_xcmplx_0(2, k4_xcmplx_0(5))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm6_rm4, axiom, k2_xcmplx_0(2, k4_xcmplx_0(6))=k4_xcmplx_0(4)).
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__r3_r6_r9, axiom, k2_xcmplx_0(3, 6)=9).
fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(1))=2).
fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(2))=1).
fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0, axiom, k2_xcmplx_0(3, k4_xcmplx_0(3))=0).
fof(rqRealAdd__k2_xcmplx_0__r3_rm4_rm1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(4))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm5_rm2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(5))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm6_rm3, axiom, k2_xcmplx_0(3, k4_xcmplx_0(6))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm9_rm6, axiom, k2_xcmplx_0(3, k4_xcmplx_0(9))=k4_xcmplx_0(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__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_rm10_rm6, axiom, k2_xcmplx_0(4, k4_xcmplx_0(10))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm1_r3, axiom, k2_xcmplx_0(4, k4_xcmplx_0(1))=3).
fof(rqRealAdd__k2_xcmplx_0__r4_rm2_r2, axiom, k2_xcmplx_0(4, k4_xcmplx_0(2))=2).
fof(rqRealAdd__k2_xcmplx_0__r4_rm3_r1, axiom, k2_xcmplx_0(4, k4_xcmplx_0(3))=1).
fof(rqRealAdd__k2_xcmplx_0__r4_rm4_r0, axiom, k2_xcmplx_0(4, k4_xcmplx_0(4))=0).
fof(rqRealAdd__k2_xcmplx_0__r4_rm5_rm1, axiom, k2_xcmplx_0(4, k4_xcmplx_0(5))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm6_rm2, axiom, k2_xcmplx_0(4, k4_xcmplx_0(6))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm9_rm5, axiom, k2_xcmplx_0(4, k4_xcmplx_0(9))=k4_xcmplx_0(5)).
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__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_rm10_rm5, axiom, k2_xcmplx_0(5, k4_xcmplx_0(10))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm11_rm6, axiom, k2_xcmplx_0(5, k4_xcmplx_0(11))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm1_r4, axiom, k2_xcmplx_0(5, k4_xcmplx_0(1))=4).
fof(rqRealAdd__k2_xcmplx_0__r5_rm2_r3, axiom, k2_xcmplx_0(5, k4_xcmplx_0(2))=3).
fof(rqRealAdd__k2_xcmplx_0__r5_rm3_r2, axiom, k2_xcmplx_0(5, k4_xcmplx_0(3))=2).
fof(rqRealAdd__k2_xcmplx_0__r5_rm4_r1, axiom, k2_xcmplx_0(5, k4_xcmplx_0(4))=1).
fof(rqRealAdd__k2_xcmplx_0__r5_rm5_r0, axiom, k2_xcmplx_0(5, k4_xcmplx_0(5))=0).
fof(rqRealAdd__k2_xcmplx_0__r5_rm6_rm1, axiom, k2_xcmplx_0(5, k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm9_rm4, axiom, k2_xcmplx_0(5, k4_xcmplx_0(9))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r6_r0_r6, axiom, k2_xcmplx_0(6, 0)=6).
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_rm10_rm4, axiom, k2_xcmplx_0(6, k4_xcmplx_0(10))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r6_rm11_rm5, axiom, k2_xcmplx_0(6, k4_xcmplx_0(11))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r6_rm1_r5, axiom, k2_xcmplx_0(6, k4_xcmplx_0(1))=5).
fof(rqRealAdd__k2_xcmplx_0__r6_rm2_r4, axiom, k2_xcmplx_0(6, k4_xcmplx_0(2))=4).
fof(rqRealAdd__k2_xcmplx_0__r6_rm3_r3, axiom, k2_xcmplx_0(6, k4_xcmplx_0(3))=3).
fof(rqRealAdd__k2_xcmplx_0__r6_rm4_r2, axiom, k2_xcmplx_0(6, k4_xcmplx_0(4))=2).
fof(rqRealAdd__k2_xcmplx_0__r6_rm5_r1, axiom, k2_xcmplx_0(6, k4_xcmplx_0(5))=1).
fof(rqRealAdd__k2_xcmplx_0__r6_rm6_r0, axiom, k2_xcmplx_0(6, k4_xcmplx_0(6))=0).
fof(rqRealAdd__k2_xcmplx_0__r6_rm9_rm3, axiom, k2_xcmplx_0(6, k4_xcmplx_0(9))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r9_r0_r9, axiom, k2_xcmplx_0(9, 0)=9).
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_rm10_rm1, axiom, k2_xcmplx_0(9, k4_xcmplx_0(10))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r9_rm11_rm2, axiom, k2_xcmplx_0(9, k4_xcmplx_0(11))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r9_rm3_r6, axiom, k2_xcmplx_0(9, k4_xcmplx_0(3))=6).
fof(rqRealAdd__k2_xcmplx_0__r9_rm4_r5, axiom, k2_xcmplx_0(9, k4_xcmplx_0(4))=5).
fof(rqRealAdd__k2_xcmplx_0__r9_rm5_r4, axiom, k2_xcmplx_0(9, k4_xcmplx_0(5))=4).
fof(rqRealAdd__k2_xcmplx_0__r9_rm6_r3, axiom, k2_xcmplx_0(9, k4_xcmplx_0(6))=3).
fof(rqRealAdd__k2_xcmplx_0__r9_rm9_r0, axiom, k2_xcmplx_0(9, k4_xcmplx_0(9))=0).
fof(rqRealAdd__k2_xcmplx_0__rm10_r0_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 0)=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r10_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 10)=0).
fof(rqRealAdd__k2_xcmplx_0__rm10_r11_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 11)=1).
fof(rqRealAdd__k2_xcmplx_0__rm10_r1_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 1)=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r4_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 4)=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r5_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 5)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r6_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 6)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r9_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 9)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm11_r10_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 10)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm11_r11_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 11)=0).
fof(rqRealAdd__k2_xcmplx_0__rm11_r6_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 6)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm11_r9_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 9)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r10_r9, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 10)=9).
fof(rqRealAdd__k2_xcmplx_0__rm1_r11_r10, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 11)=10).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 1)=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 3)=2).
fof(rqRealAdd__k2_xcmplx_0__rm1_r4_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 4)=3).
fof(rqRealAdd__k2_xcmplx_0__rm1_r5_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 5)=4).
fof(rqRealAdd__k2_xcmplx_0__rm1_r6_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 6)=5).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm10_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(10))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm3_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(3))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm4_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(4))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm5_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(5))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm9_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(9))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r11_r9, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 11)=9).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 2)=0).
fof(rqRealAdd__k2_xcmplx_0__rm2_r3_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 3)=1).
fof(rqRealAdd__k2_xcmplx_0__rm2_r4_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 4)=2).
fof(rqRealAdd__k2_xcmplx_0__rm2_r5_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 5)=3).
fof(rqRealAdd__k2_xcmplx_0__rm2_r6_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 6)=4).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm3_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(3))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm4_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(4))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm9_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(9))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 2)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r3_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 3)=0).
fof(rqRealAdd__k2_xcmplx_0__rm3_r4_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 4)=1).
fof(rqRealAdd__k2_xcmplx_0__rm3_r5_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 5)=2).
fof(rqRealAdd__k2_xcmplx_0__rm3_r6_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 6)=3).
fof(rqRealAdd__k2_xcmplx_0__rm3_r9_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 9)=6).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm1_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm2_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(2))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm3_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(3))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm6_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(6))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r10_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 10)=6).
fof(rqRealAdd__k2_xcmplx_0__rm4_r1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 1)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r2_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 2)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r3_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 3)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r4_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 4)=0).
fof(rqRealAdd__k2_xcmplx_0__rm4_r5_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 5)=1).
fof(rqRealAdd__k2_xcmplx_0__rm4_r6_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 6)=2).
fof(rqRealAdd__k2_xcmplx_0__rm4_r9_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 9)=5).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm1_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(1))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm2_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(2))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm5_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(5))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm6_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(6))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r10_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 10)=5).
fof(rqRealAdd__k2_xcmplx_0__rm5_r11_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 11)=6).
fof(rqRealAdd__k2_xcmplx_0__rm5_r1_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 1)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 2)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r3_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 3)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r4_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 4)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r5_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 5)=0).
fof(rqRealAdd__k2_xcmplx_0__rm5_r6_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 6)=1).
fof(rqRealAdd__k2_xcmplx_0__rm5_r9_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 9)=4).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm1_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(1))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm4_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(4))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm5_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(5))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm6_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(6))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r10_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 10)=4).
fof(rqRealAdd__k2_xcmplx_0__rm6_r11_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 11)=5).
fof(rqRealAdd__k2_xcmplx_0__rm6_r1_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r2_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 2)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r3_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 3)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r4_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 4)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r5_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 5)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r6_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 6)=0).
fof(rqRealAdd__k2_xcmplx_0__rm6_r9_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 9)=3).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm3_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(3))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm4_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(4))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm5_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(5))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r10_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 10)=1).
fof(rqRealAdd__k2_xcmplx_0__rm9_r11_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 11)=2).
fof(rqRealAdd__k2_xcmplx_0__rm9_r3_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 3)=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r4_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 4)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r5_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 5)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r6_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 6)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r9_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 9)=0).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm1_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(9), k4_xcmplx_0(1))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm2_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(9), k4_xcmplx_0(2))=k4_xcmplx_0(11)).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r10_rm10, axiom, k4_xcmplx_0(10)=k4_xcmplx_0(10)).
fof(rqRealNeg__k4_xcmplx_0__r11_rm11, axiom, k4_xcmplx_0(11)=k4_xcmplx_0(11)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r3_rm3, axiom, k4_xcmplx_0(3)=k4_xcmplx_0(3)).
fof(rqRealNeg__k4_xcmplx_0__r4_rm4, axiom, k4_xcmplx_0(4)=k4_xcmplx_0(4)).
fof(rqRealNeg__k4_xcmplx_0__r5_rm5, axiom, k4_xcmplx_0(5)=k4_xcmplx_0(5)).
fof(rqRealNeg__k4_xcmplx_0__r6_rm6, axiom, k4_xcmplx_0(6)=k4_xcmplx_0(6)).
fof(rqRealNeg__k4_xcmplx_0__r9_rm9, axiom, k4_xcmplx_0(9)=k4_xcmplx_0(9)).
fof(rqRealNeg__k4_xcmplx_0__rm10_r10, axiom, k4_xcmplx_0(k4_xcmplx_0(10))=10).
fof(rqRealNeg__k4_xcmplx_0__rm11_r11, axiom, k4_xcmplx_0(k4_xcmplx_0(11))=11).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm3_r3, axiom, k4_xcmplx_0(k4_xcmplx_0(3))=3).
fof(rqRealNeg__k4_xcmplx_0__rm4_r4, axiom, k4_xcmplx_0(k4_xcmplx_0(4))=4).
fof(rqRealNeg__k4_xcmplx_0__rm5_r5, axiom, k4_xcmplx_0(k4_xcmplx_0(5))=5).
fof(rqRealNeg__k4_xcmplx_0__rm6_r6, axiom, k4_xcmplx_0(k4_xcmplx_0(6))=6).
fof(rqRealNeg__k4_xcmplx_0__rm9_r9, axiom, k4_xcmplx_0(k4_xcmplx_0(9))=9).
fof(spc0_boole, axiom, v1_xboole_0(0)).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
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(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc3_boole, axiom,  ~ (v1_xboole_0(3)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc4_boole, axiom,  ~ (v1_xboole_0(4)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(spc5_boole, axiom,  ~ (v1_xboole_0(5)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(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(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc9_boole, axiom,  ~ (v1_xboole_0(9)) ).
fof(spc9_numerals, axiom,  (v2_xxreal_0(9) & m1_subset_1(9, k4_ordinal1)) ).
fof(symmetry_r1_xboole_0, axiom,  (! [A, B] :  (r1_xboole_0(A, B) => r1_xboole_0(B, A)) ) ).
fof(symmetry_r2_classes1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  =>  (r2_classes1(A, B) => r2_classes1(B, A)) ) ) ).
fof(symmetry_r8_pboole, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) )  =>  (r8_pboole(A, B, C) => r8_pboole(A, C, B)) ) ) ).
fof(t117_finseq_3, axiom,  (! [A] :  (m2_finseq_1(A, k4_numbers) => m2_finseq_1(A, k1_numbers)) ) ).
fof(t11_scmfsa_m, axiom, k9_xtuple_0(k8_memstr_0(k5_card_1(3), k1_scmfsa_2, k17_funcop_1(k4_scmfsa_2(k5_numbers), 1)))=k7_domain_1(u1_struct_0(k1_scmfsa_2), k4_scmfsa_2(k5_numbers), k4_struct_0(k1_scmfsa_2))).
fof(t12_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r2_hidden(C, k9_xtuple_0(k1_funct_4(A, B))) <=>  (r2_hidden(C, k9_xtuple_0(A)) | r2_hidden(C, k9_xtuple_0(B))) ) ) ) ) ) ) ).
fof(t13_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  (r2_hidden(C, k9_xtuple_0(B)) => k1_funct_1(k1_funct_4(A, B), C)=k1_funct_1(B, C)) ) ) ) ) ) ).
fof(t19_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v3_valued_0(A)) ) )  =>  (v10_valued_0(A) <=>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  ( (r2_tarski(B, k4_finseq_1(A)) & r2_tarski(C, k4_finseq_1(A)))  =>  (r1_xxreal_0(C, B) | r1_xxreal_0(k1_funct_1(A, C), k1_funct_1(A, B))) ) ) ) ) ) ) ) ) ).
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(t1_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(A, B) & r1_tarski(B, C))  => r1_tarski(A, C)) ) ) ) ).
fof(t25_finseq_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  (v7_ordinal1(B) =>  (r2_tarski(B, k1_relset_1(k4_ordinal1, A)) <=>  (r1_xxreal_0(1, B) & r1_xxreal_0(B, k3_finseq_1(A))) ) ) ) ) ) ).
fof(t2_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) <=>  (r1_tarski(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ).
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(t32_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_xboole_0(k9_xtuple_0(A), k9_xtuple_0(B)) => r1_tarski(A, k1_funct_4(A, B))) ) ) ) ) ).
fof(t32_scmisort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(B, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  (r2_classes1(k18_scmfsa_2(B, k5_scmfsa_2(k5_numbers)), k18_scmfsa_2(k1_scmfsa6b(k2_scmisort(k5_scmfsa_2(k5_numbers)), B, A), k5_scmfsa_2(k5_numbers))) &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (v7_ordinal1(D) =>  ( (r1_xxreal_0(1, C) & r1_xxreal_0(D, k3_finseq_1(k18_scmfsa_2(B, k5_scmfsa_2(k5_numbers)))))  =>  (r1_xxreal_0(D, C) |  (! [E] :  (v1_int_1(E) =>  (! [F] :  (v1_int_1(F) =>  ( (E=k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k2_scmisort(k5_scmfsa_2(k5_numbers)), B, A), k5_scmfsa_2(k5_numbers)), C) & F=k1_funct_1(k18_scmfsa_2(k1_scmfsa6b(k2_scmisort(k5_scmfsa_2(k5_numbers)), B, A), k5_scmfsa_2(k5_numbers)), D))  => r1_xxreal_0(F, E)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t33_scmbsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(B, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(C) &  ( ~ (v1_xboole_0(C))  &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  =>  (! [D] :  (m1_scmfsa_2(D) => k18_scmfsa_2(k6_extpro_1(k5_card_1(3), k1_scmfsa_2, k1_funct_4(A, C), k1_scmfsa_m(B)), D)=k18_scmfsa_2(k1_scmfsa6b(C, B, A), 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_rfinseq, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) )  =>  (r2_classes1(A, B) =>  (k3_finseq_1(A)=k3_finseq_1(B) & k4_finseq_1(A)=k4_finseq_1(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(t50_zfmisc_1, axiom,  (! [A] :  (! [B] :  ( ~ (r2_hidden(A, B))  => r1_xboole_0(k1_tarski(A), B)) ) ) ).
fof(t57_scmfsa_2, axiom,  (! [A] :  (m1_scmfsa_2(A) =>  ~ (A=k4_struct_0(k1_scmfsa_2)) ) ) ).
fof(t58_scmfsa_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  (m1_scmfsa_2(B) =>  ~ (A=B) ) ) ) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t72_funcop_1, axiom,  (! [A] :  (! [B] : k1_funct_1(k17_funcop_1(A, B), A)=B) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
fof(t98_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) => k1_funct_4(B, A)=B) ) ) ) ) ).
