% Mizar problem: t69_scm_halt,scm_halt,2932,5 
fof(t69_scm_halt, conjecture,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(3), k1_scmfsa_2)) & v1_partfun1(B, u1_struct_0(k1_scmfsa_2))) ) ) )  =>  (! [C] :  ( ( ~ (v1_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) &  (v5_amistd_1(C, k5_card_1(3), k1_scmfsa_2) &  (v1_scmfsa7b(C) & v1_scm_halt(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  (m1_scmfsa_2(D) =>  (! [E] :  ( (v1_ami_2(E) &  ( ~ (v1_scmfsa_m(E))  & m1_subset_1(E, u1_struct_0(k1_scmfsa_2))) )  =>  ~ ( ( ~ (r4_scmfsa7b(C, E))  &  ( ~ (r1_xxreal_0(k1_funct_1(B, E), k5_numbers))  &  ~ (k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(E, C), B, A), D)=k18_scmfsa_2(k1_scmfsa6b(k1_scmfsa8c(E, C), k1_scmfsa6b(k4_scmfsa6a(C, k8_scmfsa_2(E, k4_scmfsa_2(k5_numbers))), B, A), A), 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(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc11_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, 1) =>  ( ~ (v2_struct_0(A))  & v7_struct_0(A)) ) ) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(B)) => v1_partfun1(C, A)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(B) &  (v2_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, k4_card_3(B)) => v1_partfun1(C, A)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_card_3, axiom,  (! [A] :  ( ~ (v4_card_3(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc17_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v7_struct_0(A))  =>  ~ (v2_struct_0(A)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_card_3, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ) ).
fof(cc1_compos_0, axiom,  (! [A] :  (v1_compos_0(A) => v1_relat_1(A)) ) ).
fof(cc1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_compos_1(B, A)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(cc1_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_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
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_scmfsa7b, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & v1_scmfsa7b(A)) ) ) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v1_scmfsa6b(A)) ) ) ) ) ) ) ) ) ).
fof(cc1_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v7_struct_0(A)) ) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_amistd_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v4_amistd_1(C, A, B) =>  ~ (v2_extpro_1(C, A, B)) ) ) ) ) ) ).
fof(cc2_card_3, axiom,  (! [A, B] :  (v1_setfam_1(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  ( (v1_funct_1(C) & v1_funct_2(C, A, B))  =>  (v2_relat_1(C) &  (v1_funct_1(C) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ).
fof(cc2_compos_0, axiom,  (! [A] :  (v5_compos_0(A) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v4_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc2_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_relat_1, axiom,  (! [A] :  (v1_relat_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_relat_1(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_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc3_amistd_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (v2_extpro_1(C, A, B) =>  ~ (v4_amistd_1(C, A, 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_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_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v3_relat_1(A)) ) ) ).
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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc4_card_3, axiom,  (! [A] :  (v5_card_3(A) =>  ( ~ (v1_finset_1(A))  & v4_card_3(A)) ) ) ).
fof(cc4_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v2_compos_1(B, A)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v4_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc4_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_relat_1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v2_relat_1(A)) ) ) ).
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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_card_3, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v4_card_3(A))  => v5_card_3(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_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v4_relat_1(C, A)) ) ) ) ).
fof(cc5_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ( ~ (v2_struct_0(A))  &  ~ (v8_struct_0(A)) ) ) ) ) ).
fof(cc6_card_3, axiom,  (! [A] :  (v1_finset_1(A) => v4_card_3(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_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(B)) => v5_relat_1(C, A)) ) ) ) ).
fof(cc6_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v7_struct_0(A) => v8_struct_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_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_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v4_relat_1(B, A)) ) ) ) ) ) ).
fof(cc7_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  ( ~ (v8_struct_0(A))  =>  ~ (v7_struct_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_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_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_xboole_0(B) &  (v1_relat_1(B) & v5_relat_1(B, A)) ) ) ) ) ) ).
fof(cc8_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v2_struct_0(A) => v13_struct_0(A, k5_ordinal1)) ) ) ).
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_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_struct_0, axiom,  (! [A] :  (l1_struct_0(A) =>  (v13_struct_0(A, k5_ordinal1) => v2_struct_0(A)) ) ) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(commutativity_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, C)=k4_subset_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_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => k2_compos_1(A)=k9_compos_0(u1_compos_1(A))) ) ).
fof(d13_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) => k11_scmfsa_2(A)=k7_ami_3(A)) ) ).
fof(d16_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => k4_compos_1(A)=k3_afinsq_1(k2_compos_1(A))) ) ).
fof(d1_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  => k1_scmfsa6a(A)=k8_funct_4(A, k2_compos_1(k1_scmfsa_2), k11_scmfsa_2(k4_card_1(A)))) ) ).
fof(d1_scmfsa8c, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, k1_scmfsa_2) & v4_compos_1(B, k1_scmfsa_2)) ) ) ) ) ) ) )  => k1_scmfsa8c(A, B)=k4_scmfsa_x(A, k4_scmfsa6a(B, k8_scmfsa_2(A, k4_scmfsa_2(k5_numbers))))) ) ) ) ).
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(d22_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (! [C] :  (v7_ordinal1(C) => k6_compos_1(A, B, C)=k61_valued_1(k5_compos_1(A, B, C), C)) ) ) ) ) ) ).
fof(d23_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  => k7_compos_1(A, B, C)=k1_funct_4(k63_valued_1(B), k6_compos_1(A, C, k7_nat_d(k4_card_1(B), 1)))) ) ) ) ) ) ).
fof(d24_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) )  => k10_compos_1(A, B)=k1_ordinal4(B, k4_compos_1(A))) ) ) ) ).
fof(d25_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (! [B] :  (m1_subset_1(B, u1_compos_1(A)) => k11_compos_1(A, B)=k10_compos_1(A, k9_compos_1(A, B))) ) ) ) ).
fof(d2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) => k2_memstr_0(A, B)=k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))) ) ) ) ).
fof(d3_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  => k2_scmfsa6a(A, B)=k7_compos_1(k1_scmfsa_2, k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A)), B)) ) ) ) ).
fof(d3_scmfsa_2, axiom, k3_scmfsa_2=k3_scmfsa_1).
fof(d3_xboole_0, axiom,  (! [A] :  (! [B] :  (! [C] :  (C=k2_xboole_0(A, B) <=>  (! [D] :  (r2_hidden(D, C) <=>  (r2_hidden(D, A) | r2_hidden(D, B)) ) ) ) ) ) ) ).
fof(d4_scmfsa7b, 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)) ) )  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2)))  =>  (r4_scmfsa7b(A, B) <=>  (? [C] :  (m1_subset_1(C, u1_compos_1(k1_scmfsa_2)) &  (r2_tarski(C, k10_xtuple_0(A)) & r3_scmfsa7b(C, B)) ) ) ) ) ) ) ) ).
fof(d5_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  =>  (! [B] :  (m1_subset_1(B, u1_compos_1(k1_scmfsa_2)) => k4_scmfsa6a(A, B)=k2_scmfsa6a(A, k11_compos_1(k1_scmfsa_2, B))) ) ) ) ).
fof(d5_scmfsa_2, axiom,  (! [A] :  (m1_subset_1(A, u1_struct_0(k1_scmfsa_2)) =>  (m1_scmfsa_2(A) <=> r2_tarski(A, k3_scmfsa_1)) ) ) ).
fof(d6_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) => k4_scmfsa_2(A)=k10_ami_3(A)) ) ).
fof(d8_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k6_memstr_0(A, B, C)=k5_relat_1(C, k8_struct_0(B))) ) ) ) ) ) ).
fof(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_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) & v1_finset_1(k10_compos_1(A, B))) ) ) ) ) ) ).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), B)) ).
fof(dt_k10_xtuple_0, axiom, $true).
fof(dt_k11_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  =>  (v1_relat_1(k11_compos_1(A, B)) &  (v4_relat_1(k11_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k11_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k11_compos_1(A, B)) & v1_finset_1(k11_compos_1(A, B))) ) ) ) ) ) ).
fof(dt_k11_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k11_scmfsa_2(A), u1_compos_1(k1_scmfsa_2))) ) ).
fof(dt_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_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_ordinal4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v5_ordinal1(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v5_ordinal1(k1_ordinal4(A, B)) & v1_funct_1(k1_ordinal4(A, B))) ) ) ) ).
fof(dt_k1_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(k1_scmfsa6a(A)) &  (v4_relat_1(k1_scmfsa6a(A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa6a(A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa6a(A)) & v1_finset_1(k1_scmfsa6a(A))) ) ) ) ) ) ).
fof(dt_k1_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_i, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_xreal_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => m1_subset_1(k2_compos_1(A), u1_compos_1(A))) ) ).
fof(dt_k2_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_scm_inst, 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_scmfsa_2, axiom, m1_subset_1(k2_scmfsa_2, k1_zfmisc_1(u1_struct_0(k1_scmfsa_2)))).
fof(dt_k2_scmfsa_i, axiom,  ~ (v1_xboole_0(k2_scmfsa_i)) ).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_afinsq_1, axiom, $true).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_scmfsa_1, axiom, m1_subset_1(k3_scmfsa_1, k1_zfmisc_1(k1_scmfsa_1))).
fof(dt_k3_scmfsa_2, axiom, m1_subset_1(k3_scmfsa_2, k1_zfmisc_1(u1_struct_0(k1_scmfsa_2)))).
fof(dt_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => m1_subset_1(k4_card_1(A), k4_ordinal1)) ) ).
fof(dt_k4_card_3, axiom, $true).
fof(dt_k4_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) & v1_finset_1(k4_compos_1(A))) ) ) ) ) ) ).
fof(dt_k4_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_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => m1_subset_1(k4_subset_1(A, B, C), k1_zfmisc_1(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_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(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_k61_valued_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  & v7_ordinal1(B))  =>  (v1_relat_1(k61_valued_1(A, B)) & v1_funct_1(k61_valued_1(A, B))) ) ) ).
fof(dt_k63_valued_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(k63_valued_1(A)) & v1_funct_1(k63_valued_1(A))) ) ) ).
fof(dt_k6_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k6_compos_1(A, B, C)) &  (v4_relat_1(k6_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k6_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k6_compos_1(A, B, C)) & v1_finset_1(k6_compos_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k6_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, B, C)) &  (v4_relat_1(k6_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k6_memstr_0(A, B, C)) & v5_funct_1(k6_memstr_0(A, B, C), k2_memstr_0(A, B))) ) ) ) ) ).
fof(dt_k6_ordinal1, axiom, $true).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k7_ami_3(A), u1_compos_1(k1_ami_3))) ) ).
fof(dt_k7_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) & v1_finset_1(k7_compos_1(A, B, C))) ) ) ) ) ) ).
fof(dt_k7_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => m1_subset_1(k7_nat_d(A, B), k4_ordinal1)) ) ).
fof(dt_k8_funct_4, axiom, $true).
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_k8_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(k8_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k9_compos_0, axiom,  (! [A] :  (v5_compos_0(A) => m1_subset_1(k9_compos_0(A), A)) ) ).
fof(dt_k9_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  =>  (v1_relat_1(k9_compos_1(A, B)) &  (v4_relat_1(k9_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k9_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k9_compos_1(A, B)) & v1_finset_1(k9_compos_1(A, B))) ) ) ) ) ) ).
fof(dt_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_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) & v3_compos_1(C, A)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v3_compos_1(k7_compos_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(fc10_funcop_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_funcop_1(k3_relat_1(B, A))) ) ) ).
fof(fc10_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  => v1_setfam_1(k10_xtuple_0(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_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc10_scm_halt, axiom,  (v1_relat_1(k4_compos_1(k1_scmfsa_2)) &  (v4_relat_1(k4_compos_1(k1_scmfsa_2), k4_ordinal1) &  (v5_relat_1(k4_compos_1(k1_scmfsa_2), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k4_compos_1(k1_scmfsa_2)) &  (v1_finset_1(k4_compos_1(k1_scmfsa_2)) &  (v1_scmfsa7b(k4_compos_1(k1_scmfsa_2)) & v1_scm_halt(k4_compos_1(k1_scmfsa_2))) ) ) ) ) ) ).
fof(fc10_scmfsa_4, axiom,  (v1_extpro_1(k1_scmfsa_2, k5_card_1(3)) & v2_amistd_5(k1_scmfsa_2, k5_card_1(3))) ).
fof(fc11_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) & v4_compos_1(C, A)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v4_compos_1(k7_compos_1(A, B, C), A)) ) ) ) ) ) ) ).
fof(fc11_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_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc11_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_xboole_0(k10_xtuple_0(A))) ) ).
fof(fc11_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) =>  ~ (v2_extpro_1(k11_scmfsa_2(A), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc12_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k10_compos_1(A, B)))  &  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) &  (v1_finset_1(k10_compos_1(A, B)) & v1_afinsq_1(k10_compos_1(A, B))) ) ) ) ) ) ) ) ).
fof(fc12_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc12_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_funct_1(B, A)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, A)) ) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v1_funct_1(k1_funct_4(B, C)) & v5_funct_1(k1_funct_4(B, C), A)) ) ) ) ).
fof(fc12_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(B, A))) ) ) ).
fof(fc12_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(A, B)) & v1_relat_1(k3_relat_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_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v3_funct_1(A)) ) )  =>  ~ (v1_zfmisc_1(k10_xtuple_0(A))) ) ) ).
fof(fc13_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(A))) ) ).
fof(fc13_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(B))  =>  (v1_xboole_0(k3_relat_1(B, A)) & v1_relat_1(k3_relat_1(B, 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(fc14_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) &  (v1_finset_1(k4_compos_1(A)) & v3_compos_1(k4_compos_1(A), A)) ) ) ) ) ) ) ).
fof(fc14_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funcop_1(k5_relat_1(A, B))) ) ) ).
fof(fc14_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k6_ordinal1(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_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v2_relat_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_relat_1(k3_relat_1(A, B))) ) ) ).
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_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l2_struct_0(A))  =>  ~ (v1_xboole_0(k8_struct_0(A))) ) ) ).
fof(fc16_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k6_compos_1(A, B, C)) &  (v4_relat_1(k6_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k6_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k6_compos_1(A, B, C)) &  (v1_finset_1(k6_compos_1(A, B, C)) &  ~ (v2_compos_1(k6_compos_1(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(fc16_funct_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v1_funct_1(B))  &  (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, B)) ) )  =>  (v1_relat_1(k5_relat_1(C, A)) & v5_funct_1(k5_relat_1(C, A), B)) ) ) ).
fof(fc16_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_xboole_0(B))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
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_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  &  (v7_struct_0(A) & l2_struct_0(A)) )  => v1_xboole_0(k8_struct_0(A))) ) ).
fof(fc17_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v2_compos_1(B, A)) ) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) &  (v1_finset_1(k10_compos_1(A, B)) & v4_compos_1(k10_compos_1(A, B), A)) ) ) ) ) ) ) ).
fof(fc17_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_funct_1(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_funct_1(k5_relat_1(A, B))) ) ) ).
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_relat_1, axiom,  (! [A, B] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_xboole_0(k5_relat_1(A, B)) & v1_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc17_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k6_xcmplx_0(A, B))) ) ) ).
fof(fc18_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) &  (v1_afinsq_1(C) &  ~ (v2_compos_1(C, A)) ) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) &  ~ (v2_compos_1(k7_compos_1(A, B, C), A)) ) ) ) ) ) ) ) ).
fof(fc18_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(fc18_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k6_xcmplx_0(B, A))) ) ) ).
fof(fc19_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(A, B)) &  (v4_relat_1(k10_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k10_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k10_compos_1(A, B)) &  (v1_finset_1(k10_compos_1(A, B)) & v3_compos_1(k10_compos_1(A, B), A)) ) ) ) ) ) ) ).
fof(fc19_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_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_finset_1(C)) ) ) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, B, C)) &  (v4_relat_1(k6_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k6_memstr_0(A, B, C)) &  (v5_funct_1(k6_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_finset_1(k6_memstr_0(A, B, C))) ) ) ) ) ) ).
fof(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(fc19_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc1_ami_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_setfam_1(k6_ordinal1(A))) ) ) ).
fof(fc1_card_3, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_card_3(k5_relat_1(A, B))) ) ) ).
fof(fc1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  ( ~ (v1_xboole_0(k4_compos_1(A)))  &  (v1_zfmisc_1(k4_compos_1(A)) &  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) &  (v1_finset_1(k4_compos_1(A)) & v1_afinsq_1(k4_compos_1(A))) ) ) ) ) ) ) ) ) ).
fof(fc1_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_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  =>  (v1_relat_1(k1_scmfsa6a(A)) &  (v4_relat_1(k1_scmfsa6a(A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa6a(A), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k1_scmfsa6a(A)))  &  (v1_funct_1(k1_scmfsa6a(A)) &  (v1_finset_1(k1_scmfsa6a(A)) & v1_afinsq_1(k1_scmfsa6a(A))) ) ) ) ) ) ) ) ).
fof(fc1_scmfsa6c, axiom, v1_scmfsa6c(k2_compos_1(k1_scmfsa_2))).
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_struct_0, axiom,  (! [A] :  ( (v2_struct_0(A) & l1_struct_0(A))  => v1_xboole_0(u1_struct_0(A))) ) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_compos_0, axiom,  (! [A] :  ( (v1_compos_0(A) & v5_compos_0(A))  => v4_compos_0(k9_compos_0(A), A)) ) ).
fof(fc20_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc21_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc22_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k6_xcmplx_0(B, A))) ) ).
fof(fc23_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_relat_1(k5_relat_1(A, 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(fc25_relat_1, axiom,  (! [A] :  ( (v1_zfmisc_1(A) & v1_relat_1(A))  => v1_zfmisc_1(k10_xtuple_0(A))) ) ).
fof(fc25_scmfsa10, axiom, v2_amistd_1(k2_compos_1(k1_scmfsa_2), k5_card_1(3), k1_scmfsa_2)).
fof(fc26_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v5_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) & v5_relat_1(k5_relat_1(C, A), B)) ) ) ).
fof(fc26_scmfsa_2, axiom,  (! [A] :  (v7_ordinal1(A) => v6_compos_0(k11_scmfsa_2(A), u1_compos_1(k1_scmfsa_2))) ) ).
fof(fc27_relat_1, axiom,  (! [A, B, C] :  ( (v1_relat_1(C) & v4_relat_1(C, B))  =>  (v1_relat_1(k5_relat_1(C, A)) &  (v4_relat_1(k5_relat_1(C, A), A) & v4_relat_1(k5_relat_1(C, A), B)) ) ) ) ).
fof(fc27_scmfsa10, axiom,  (! [A] :  (v7_ordinal1(A) =>  ( ~ (v4_compos_0(k11_scmfsa_2(A), u1_compos_1(k1_scmfsa_2)))  &  (v2_amistd_1(k11_scmfsa_2(A), k5_card_1(3), k1_scmfsa_2) &  ~ (v4_amistd_1(k11_scmfsa_2(A), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ).
fof(fc29_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v5_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(C, B)) & v5_relat_1(k3_relat_1(C, B), A)) ) ) ).
fof(fc2_ami_3, axiom,  ( ~ (v2_struct_0(k1_ami_3))  & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(fc2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_relat_1(k4_compos_1(A)) &  (v4_relat_1(k4_compos_1(A), k4_ordinal1) &  (v5_relat_1(k4_compos_1(A), u1_compos_1(A)) &  (v1_funct_1(k4_compos_1(A)) &  (v1_finset_1(k4_compos_1(A)) &  (v3_compos_1(k4_compos_1(A), A) & v4_compos_1(k4_compos_1(A), A)) ) ) ) ) ) ) ) ).
fof(fc2_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_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_scmfsa_2, axiom,  (v1_extpro_1(k1_scmfsa_2, k5_card_1(3)) & v1_amistd_4(k1_scmfsa_2)) ).
fof(fc2_scmfsa_x, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v3_compos_1(A, k1_scmfsa_2) & v4_compos_1(A, k1_scmfsa_2)) ) ) ) ) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  (v1_relat_1(k4_scmfsa_x(B, A)) &  (v4_relat_1(k4_scmfsa_x(B, A), k4_ordinal1) &  (v5_relat_1(k4_scmfsa_x(B, A), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k4_scmfsa_x(B, A)))  &  (v1_funct_1(k4_scmfsa_x(B, A)) &  (v1_finset_1(k4_scmfsa_x(B, A)) &  (v1_afinsq_1(k4_scmfsa_x(B, A)) &  (v3_compos_1(k4_scmfsa_x(B, A), k1_scmfsa_2) & v4_compos_1(k4_scmfsa_x(B, A), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ) ).
fof(fc2_struct_0, axiom,  (! [A] :  ( ( ~ (v2_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_xboole_0(u1_struct_0(A))) ) ) ).
fof(fc30_relat_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) & v4_relat_1(B, A))  & v1_relat_1(C))  =>  (v1_relat_1(k3_relat_1(B, C)) & v4_relat_1(k3_relat_1(B, C), A)) ) ) ).
fof(fc33_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_relat_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_relat_1(k5_relat_1(A, B))) ) ) ).
fof(fc37_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k1_xreal_0(A, B))) ) ).
fof(fc38_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  =>  ( ~ (v3_xxreal_0(k1_xreal_0(A, B)))  & v1_xreal_0(k1_xreal_0(A, B))) ) ) ).
fof(fc3_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_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ).
fof(fc3_funct_4, axiom,  (! [A, B, C] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k8_funct_4(A, B, C)) & v1_funct_1(k8_funct_4(A, B, C))) ) ) ).
fof(fc3_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v2_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ) ).
fof(fc3_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_relat_1(B))  => v1_relat_1(k2_xboole_0(A, B))) ) ).
fof(fc3_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(k1_scmfsa6a(A)) &  (v4_relat_1(k1_scmfsa6a(A), k4_ordinal1) &  (v5_relat_1(k1_scmfsa6a(A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k1_scmfsa6a(A)) &  (v1_finset_1(k1_scmfsa6a(A)) & v2_compos_1(k1_scmfsa6a(A), k1_scmfsa_2)) ) ) ) ) ) ) ).
fof(fc3_scmfsa_2, axiom,  ~ (v1_finset_1(k3_scmfsa_2)) ).
fof(fc3_scmfsa_4, 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_compos_0(k8_scmfsa_2(A, B), u1_compos_1(k1_scmfsa_2))) ) ).
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(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_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_xboole_0(k5_compos_1(A, B, C)) &  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc4_extpro_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) )  => v2_extpro_1(k2_compos_1(B), A, B)) ) ).
fof(fc4_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_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k6_xcmplx_0(A, B))) ) ).
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_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_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(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_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k5_compos_1(A, B, C)))  &  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) & v1_finset_1(k5_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc5_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_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  & v3_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) &  (v5_relat_1(k5_relat_1(A, B), k10_xtuple_0(A)) & v5_ordinal1(k5_relat_1(A, B))) ) ) ) ).
fof(fc5_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_scmfsa7b, axiom,  (v1_relat_1(k4_compos_1(k1_scmfsa_2)) &  (v4_relat_1(k4_compos_1(k1_scmfsa_2), k4_ordinal1) &  (v5_relat_1(k4_compos_1(k1_scmfsa_2), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k4_compos_1(k1_scmfsa_2)) &  (v1_finset_1(k4_compos_1(k1_scmfsa_2)) &  (v6_amistd_1(k4_compos_1(k1_scmfsa_2), k5_card_1(3), k1_scmfsa_2) & v1_scmfsa7b(k4_compos_1(k1_scmfsa_2))) ) ) ) ) ) ).
fof(fc5_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_scmfsa_m, axiom,  ~ (v1_xboole_0(k2_scm_inst)) ).
fof(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
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_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k5_compos_1(A, B, C)) &  (v4_relat_1(k5_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k5_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k5_compos_1(A, B, C)) &  (v1_finset_1(k5_compos_1(A, B, C)) & v1_afinsq_1(k5_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc6_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v2_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
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_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_sfmastr1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_sfmastr1(k11_scmfsa_2(A))) ) ).
fof(fc6_struct_0, axiom,  (! [A] :  ( ( ~ (v7_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_zfmisc_1(u1_struct_0(A))) ) ) ).
fof(fc7_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k7_compos_1(A, B, C)))  &  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) & v1_finset_1(k7_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc7_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_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_struct_0, axiom,  (! [A] :  ( (v7_struct_0(A) & l1_struct_0(A))  => v1_zfmisc_1(u1_struct_0(A))) ) ).
fof(fc7_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc8_amistd_1, 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) & l1_extpro_1(B, A)) ) ) ) )  =>  (v1_relat_1(k4_compos_1(B)) &  (v4_relat_1(k4_compos_1(B), k4_ordinal1) &  (v5_relat_1(k4_compos_1(B), u1_compos_1(B)) &  (v1_funct_1(k4_compos_1(B)) &  (v1_finset_1(k4_compos_1(B)) & v5_amistd_1(k4_compos_1(B), A, B)) ) ) ) ) ) ) ).
fof(fc8_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) ) ) )  =>  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v1_afinsq_1(k7_compos_1(A, B, C))) ) ) ) ) ) ) ).
fof(fc8_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_funct_1(k5_relat_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_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, B, C)) &  (v4_relat_1(k6_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k6_memstr_0(A, B, C)) &  (v5_funct_1(k6_memstr_0(A, B, C), k2_memstr_0(A, B)) & v4_memstr_0(k6_memstr_0(A, B, C), A, B)) ) ) ) ) ) ).
fof(fc8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) &  (v4_relat_1(k3_relat_1(A, C), k4_ordinal1) &  (v5_relat_1(k3_relat_1(A, C), B) & v1_funct_1(k3_relat_1(A, C))) ) ) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(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_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A))) &  (v4_relat_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A)), k4_ordinal1) &  (v5_relat_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A)), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A))) &  (v1_finset_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A))) & v5_amistd_1(k10_compos_1(k1_scmfsa_2, k1_scmfsa6a(A)), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ).
fof(fc8_scmfsa_2, axiom,  (! [A, B] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmfsa_2)))  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmfsa_2))) )  =>  ~ (v2_extpro_1(k8_scmfsa_2(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ).
fof(fc8_struct_0, axiom,  (! [A] :  ( (v8_struct_0(A) & l1_struct_0(A))  => v1_finset_1(u1_struct_0(A))) ) ).
fof(fc9_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v3_card_3(k4_card_3(A))) ) ).
fof(fc9_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k7_compos_1(A, B, C)))  &  (v1_relat_1(k7_compos_1(A, B, C)) &  (v4_relat_1(k7_compos_1(A, B, C), k4_ordinal1) &  (v5_relat_1(k7_compos_1(A, B, C), u1_compos_1(A)) &  (v1_funct_1(k7_compos_1(A, B, C)) &  (v1_finset_1(k7_compos_1(A, B, C)) & v1_afinsq_1(k7_compos_1(A, B, C))) ) ) ) ) ) ) ) ).
fof(fc9_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  =>  (v1_relat_1(k1_funct_1(A, B)) & v1_funct_1(k1_funct_1(A, B))) ) ) ).
fof(fc9_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v4_relat_1(k1_funct_4(B, C), A) &  (v1_funct_1(k1_funct_4(B, C)) & v1_partfun1(k1_funct_4(B, C), A)) ) ) ) ) ).
fof(fc9_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) & v1_partfun1(k3_relat_1(A, C), k4_ordinal1)) ) ) ).
fof(fc9_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_relat_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  =>  ~ (v1_xboole_0(k10_xtuple_0(A))) ) ) ).
fof(fc9_scmfsa6a, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v5_amistd_1(B, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) )  =>  (v1_relat_1(k2_scmfsa6a(A, B)) &  (v4_relat_1(k2_scmfsa6a(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmfsa6a(A, B), u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(k2_scmfsa6a(A, B)))  &  (v1_funct_1(k2_scmfsa6a(A, B)) &  (v1_finset_1(k2_scmfsa6a(A, B)) &  (v1_afinsq_1(k2_scmfsa6a(A, B)) & v5_amistd_1(k2_scmfsa6a(A, B), k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ).
fof(fc9_scmfsa6c, axiom,  (! [A] :  ( (v1_scmfsa6c(A) & m1_subset_1(A, u1_compos_1(k1_scmfsa_2)))  =>  (v1_relat_1(k11_compos_1(k1_scmfsa_2, A)) &  (v4_relat_1(k11_compos_1(k1_scmfsa_2, A), k4_ordinal1) &  (v5_relat_1(k11_compos_1(k1_scmfsa_2, A), u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(k11_compos_1(k1_scmfsa_2, A)) &  (v1_finset_1(k11_compos_1(k1_scmfsa_2, A)) & v1_scmfsa6b(k11_compos_1(k1_scmfsa_2, A))) ) ) ) ) ) ) ).
fof(fc9_struct_0, axiom,  (! [A] :  ( ( ~ (v8_struct_0(A))  & l1_struct_0(A))  =>  ~ (v1_finset_1(u1_struct_0(A))) ) ) ).
fof(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(idempotence_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, A)=A) ).
fof(idempotence_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, B)=B) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k1_scmfsa6a, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  => k1_scmfsa6a(k1_scmfsa6a(A))=k1_scmfsa6a(A)) ) ).
fof(projectivity_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(k4_card_1(A))=k4_card_1(A)) ) ).
fof(projectivity_k6_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  => k6_memstr_0(A, B, k6_memstr_0(A, B, C))=k6_memstr_0(A, B, C)) ) ).
fof(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_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc1_ami_3, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_ami_3)) & v1_ami_2(A)) ) ).
fof(rc1_amistd_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  & v2_memstr_0(B, A)) ) ) ) ) ).
fof(rc1_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_card_3(A)) ) ) ).
fof(rc1_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_compos_0(A)) ) ).
fof(rc1_extpro_1, axiom,  (! [A] :  (? [B] :  (l1_extpro_1(B, A) & v1_extpro_1(B, 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_relat_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_relat_1(A)) ) ).
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_scmfsa7b, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v3_compos_1(A, k1_scmfsa_2) &  (v4_compos_1(A, k1_scmfsa_2) &  (v6_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & v1_scmfsa7b(A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_scmfsa8c, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmfsa_2)) &  (v1_funct_1(A) &  (v5_ordinal1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  ( ~ (v2_compos_1(A, k1_scmfsa_2))  &  (v3_compos_1(A, k1_scmfsa_2) &  (v4_compos_1(A, k1_scmfsa_2) &  (v1_scmfsa6b(A) &  (v1_scmfsa7b(A) &  (v5_amistd_1(A, k5_card_1(3), k1_scmfsa_2) & v6_amistd_1(A, k5_card_1(3), k1_scmfsa_2)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc1_scmfsa_2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_scmfsa_2)) & v1_ami_2(A)) ) ).
fof(rc1_scmfsa_m, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_scmfsa_2)) &  (v1_ami_2(A) &  ~ (v1_scmfsa_m(A)) ) ) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(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_1, 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)) ) ) ) ) ) ) ) ).
fof(rc2_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) ) ) ) ).
fof(rc2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v3_card_1(B, 1) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ).
fof(rc2_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(rc2_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_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(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_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc3_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v4_funct_1(A) & v2_card_3(A)) ) ) ).
fof(rc3_compos_0, axiom,  (? [A] :  (v1_compos_0(A) & v5_compos_0(A)) ) ).
fof(rc3_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_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_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_relat_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_card_3, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_card_3(A)) ) ).
fof(rc4_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ).
fof(rc4_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v3_compos_1(B, A) & v4_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc4_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_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ) ).
fof(rc4_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(rc4_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(rc4_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_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_card_3, axiom,  (? [A] : v5_card_3(A)) ).
fof(rc5_compos_0, axiom,  (! [A] :  ( (v1_compos_0(A) & v5_compos_0(A))  =>  (? [B] :  (m1_subset_1(B, A) & v4_compos_0(B, A)) ) ) ) ).
fof(rc5_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc5_extpro_1, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) )  =>  (? [C] :  (m1_subset_1(C, u1_compos_1(B)) & v2_extpro_1(C, A, B)) ) ) ) ).
fof(rc5_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_card_3, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ~ (v1_finset_1(A)) ) ) ) ).
fof(rc6_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ( ~ (v1_zfmisc_1(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) &  (v3_compos_0(A) & v5_compos_0(A)) ) ) ) ) ) ) ).
fof(rc6_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc6_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v7_struct_0(B) &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & v1_extpro_1(B, A)) ) ) ) ) ) ) ) ).
fof(rc6_funct_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v7_struct_0(B) &  (v8_struct_0(B) &  (v13_struct_0(B, 1) &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v1_extpro_1(B, A) & v3_extpro_1(B, A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_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_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (? [C] :  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) & v5_funct_1(C, B)) ) ) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_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_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  => k5_compos_1(A, B, k5_numbers)=B) ) ).
fof(rd1_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(rd2_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & v7_ordinal1(B))  => k5_compos_1(A, k4_compos_1(A), B)=k4_compos_1(A)) ) ).
fof(rd2_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_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) )  => k6_compos_1(A, B, k5_numbers)=B) ) ).
fof(rd5_int_1, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k4_numbers)=A) ) ).
fof(rd5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => k5_relat_1(k5_relat_1(A, B), B)=k5_relat_1(A, B)) ) ).
fof(rd6_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) )  => k63_valued_1(k10_compos_1(A, B))=B) ) ).
fof(rd8_relat_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v4_relat_1(B, A))  => k5_relat_1(B, A)=B) ) ).
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_k2_scmfsa_2, axiom, k2_scmfsa_2=k2_scm_inst).
fof(redefinition_k3_scmfsa_1, axiom, k3_scmfsa_1=k1_scmfsa_i).
fof(redefinition_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(A)=k1_card_1(A)) ) ).
fof(redefinition_k4_subset_1, axiom,  (! [A, B, C] :  ( (m1_subset_1(B, k1_zfmisc_1(A)) & m1_subset_1(C, k1_zfmisc_1(A)))  => k4_subset_1(A, B, C)=k2_xboole_0(B, C)) ) ).
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_nat_d, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => k7_nat_d(A, B)=k1_xreal_0(A, B)) ) ).
fof(redefinition_k9_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  => k9_compos_1(A, B)=k3_afinsq_1(B)) ) ).
fof(redefinition_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(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r2, axiom, r1_xxreal_0(2, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r3, axiom, r1_xxreal_0(2, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r2, axiom,  ~ (r1_xxreal_0(3, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r3, axiom, r1_xxreal_0(3, 3)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r3_r1_r2, axiom, k6_xcmplx_0(3, 1)=2).
fof(rqRealDiff__k6_xcmplx_0__r3_r2_r1, axiom, k6_xcmplx_0(3, 2)=1).
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(t100_scmfsa_2, axiom, k8_struct_0(k1_scmfsa_2)=k4_subset_1(u1_struct_0(k1_scmfsa_2), k2_scmfsa_2, k3_scmfsa_2)).
fof(t1_boole, axiom,  (! [A] : k2_xboole_0(A, k1_xboole_0)=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(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v3_xxreal_0(A))  & v3_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t49_funct_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (v1_relat_1(C) & v1_funct_1(C))  =>  (r2_hidden(B, A) => k1_funct_1(k5_relat_1(C, A), B)=k1_funct_1(C, B)) ) ) ) ) ).
fof(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t66_scm_halt, 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_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) &  (v5_amistd_1(C, k5_card_1(3), k1_scmfsa_2) &  (v1_scmfsa7b(C) & v1_scm_halt(C)) ) ) ) ) ) ) ) ) ) )  =>  (! [D] :  ( (v1_ami_2(D) &  ( ~ (v1_scmfsa_m(D))  & m1_subset_1(D, u1_struct_0(k1_scmfsa_2))) )  =>  ( ~ (r4_scmfsa7b(C, D))  =>  (k1_funct_1(k1_scmfsa6b(k4_scmfsa6a(C, k8_scmfsa_2(D, k4_scmfsa_2(k5_numbers))), B, A), D)=k6_xcmplx_0(k1_funct_1(B, D), 1) &  ( ~ (r1_xxreal_0(k1_funct_1(B, D), k5_numbers))  => k6_memstr_0(k5_card_1(3), k1_scmfsa_2, k1_scmfsa6b(k1_scmfsa8c(D, C), B, A))=k6_memstr_0(k5_card_1(3), k1_scmfsa_2, k1_scmfsa6b(k1_scmfsa8c(D, C), k1_scmfsa6b(k4_scmfsa6a(C, k8_scmfsa_2(D, k4_scmfsa_2(k5_numbers))), B, A), A))) ) ) ) ) ) ) ) ) ) ) ).
fof(t6_boole, axiom,  (! [A] :  (v1_xboole_0(A) => A=k1_xboole_0) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
