% Mizar problem: t7_ami_3,ami_3,350,5 
fof(t7_ami_3, conjecture,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_ami_3)))  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_ami_3)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_ami_3)) & v1_partfun1(C, u1_struct_0(k1_ami_3))) ) ) )  =>  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k7_ami_3(B), C), k4_struct_0(k1_ami_3))=B & k1_funct_1(k2_extpro_1(k5_card_1(2), k1_ami_3, k7_ami_3(B), C), A)=k1_funct_1(C, A)) ) ) ) ) ) ) ).
fof(abstractness_v1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_extpro_1(B, A) => B=g1_extpro_1(A, u1_struct_0(B), u2_struct_0(B), u1_compos_1(B), u1_memstr_0(A, B), u2_memstr_0(A, B), u1_extpro_1(A, B))) ) ) ).
fof(antisymmetry_r2_hidden, axiom,  (! [A, B] :  (r2_hidden(A, B) =>  ~ (r2_hidden(B, A)) ) ) ).
fof(asymmetry_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) =>  ~ (r2_tarski(B, A)) ) ) ).
fof(cc10_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A))  => v3_card_1(A, 1)) ) ).
fof(cc10_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_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v6_membered(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(cc11_card_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_card_1(A))  =>  (! [B] :  (v3_card_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc11_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v4_finseq_1(A)) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc12_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) => v4_funct_1(A)) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc13_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_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, A) => v1_finseq_1(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc14_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_finseq_1, axiom,  (! [A] :  (v4_finseq_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_finseq_1(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc15_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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc17_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_ordinal1) => v6_valued_0(A)) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_finseq_1, axiom,  (! [A] :  (m1_finseq_1(A, k4_numbers) => v5_valued_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_1, axiom,  (! [A] :  (v1_card_1(A) => v3_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_facirc_1, axiom,  (! [A] :  (v1_xtuple_0(A) =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc1_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc1_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_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_ordinal2(B)) ) ) ) ) ) ) ) ).
fof(cc1_relat_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_relat_1(A)) ) ).
fof(cc1_setfam_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v1_xboole_0(B)) ) ) ) ) ).
fof(cc1_xtuple_0, axiom,  (! [A] :  (v2_xtuple_0(A) => v1_xtuple_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc2_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v1_card_1(A)) ) ).
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_facirc_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v1_xtuple_0(A)) ) ) ) ).
fof(cc2_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ).
fof(cc2_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_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_ordinal2, axiom,  (! [A] :  (v3_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, A) => v3_ordinal1(B)) ) ) ) ).
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_setfam_1, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc3_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_card_1(A)) ) ).
fof(cc3_card_3, axiom,  (! [A] :  (v3_card_3(A) =>  (v4_funct_1(A) & v2_card_3(A)) ) ) ).
fof(cc3_facirc_1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v1_facirc_1(A)) ) ) ).
fof(cc3_finseq_1, axiom,  (! [A] :  (! [B] :  (m1_finseq_1(B, A) => v5_relat_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_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_setfam_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  & v1_setfam_1(A))  =>  ~ (v2_setfam_1(A)) ) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc4_card_1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v1_finset_1(A)) ) ).
fof(cc4_card_3, axiom,  (! [A] :  (v5_card_3(A) =>  ( ~ (v1_finset_1(A))  & v4_card_3(A)) ) ) ).
fof(cc4_facirc_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v1_facirc_1(A)) )  => v1_xboole_0(A)) ) ).
fof(cc4_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v1_finseq_1(A)) ) ) ).
fof(cc4_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_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_setfam_1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v2_setfam_1(A)) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(A)) ) ).
fof(cc5_card_3, axiom,  (! [A] :  ( ( ~ (v1_finset_1(A))  & v4_card_3(A))  => v5_card_3(A)) ) ).
fof(cc5_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc5_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_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(cc6_card_1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v1_finset_1(A))  => v7_ordinal1(A)) ) ).
fof(cc6_card_3, axiom,  (! [A] :  (v1_finset_1(A) => v4_card_3(A)) ) ).
fof(cc6_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ).
fof(cc6_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_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(cc7_card_1, axiom,  (! [A] :  (v3_card_1(A, k5_ordinal1) => v1_xboole_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_finseq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ) ) ).
fof(cc7_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(cc8_card_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_card_1(A, k5_ordinal1)) ) ).
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_finseq_1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_finseq_1(A)) ) ).
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(cc9_card_1, axiom,  (! [A] :  (v3_card_1(A, 1) =>  ( ~ (v1_xboole_0(A))  & v1_zfmisc_1(A)) ) ) ).
fof(cc9_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  =>  (! [B] :  (m1_subset_1(B, k4_card_3(A)) => v5_funct_1(B, A)) ) ) ) ).
fof(cc9_finseq_1, axiom,  (! [A] :  (v3_finseq_1(A) => v1_finset_1(A)) ) ).
fof(cc9_funct_1, axiom,  (! [A] :  (v4_funct_1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_funct_1(B)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(commutativity_k2_tarski, axiom,  (! [A, B] : k2_tarski(A, B)=k2_tarski(B, A)) ).
fof(commutativity_k2_xboole_0, axiom,  (! [A, B] : k2_xboole_0(A, B)=k2_xboole_0(B, A)) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(commutativity_k3_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k3_xcmplx_0(A, B)=k3_xcmplx_0(B, A)) ) ).
fof(commutativity_k7_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k7_domain_1(A, B, C)=k7_domain_1(A, C, B)) ) ).
fof(connectedness_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  =>  (r1_xxreal_0(A, B) | r1_xxreal_0(B, A)) ) ) ).
fof(d12_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) <=> r2_hidden(A, k4_ordinal1)) ) ).
fof(d14_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k3_scm_inst) =>  (! [B] :  (m1_subset_1(B, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  ( ( (? [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(1, k1_xboole_0, k10_finseq_1(C, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(k7_ami_2(B, k4_scm_inst(A), k1_funct_1(B, k5_scm_inst(A))), k2_xcmplx_0(k5_ami_2(B), 1)))  &  ( ( (? [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(2, k1_xboole_0, k10_finseq_1(C, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(k7_ami_2(B, k4_scm_inst(A), k2_xcmplx_0(k1_funct_1(B, k4_scm_inst(A)), k1_funct_1(B, k5_scm_inst(A)))), k2_xcmplx_0(k5_ami_2(B), 1)))  &  ( ( (? [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(3, k1_xboole_0, k10_finseq_1(C, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(k7_ami_2(B, k4_scm_inst(A), k6_xcmplx_0(k1_funct_1(B, k4_scm_inst(A)), k1_funct_1(B, k5_scm_inst(A)))), k2_xcmplx_0(k5_ami_2(B), 1)))  &  ( ( (? [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(4, k1_xboole_0, k10_finseq_1(C, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(k7_ami_2(B, k4_scm_inst(A), k3_xcmplx_0(k1_funct_1(B, k4_scm_inst(A)), k1_funct_1(B, k5_scm_inst(A)))), k2_xcmplx_0(k5_ami_2(B), 1)))  &  ( ( (? [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(5, k1_xboole_0, k10_finseq_1(C, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(k7_ami_2(k7_ami_2(B, k4_scm_inst(A), k4_int_1(k1_funct_1(B, k4_scm_inst(A)), k1_funct_1(B, k5_scm_inst(A)))), k5_scm_inst(A), k5_int_1(k1_funct_1(B, k4_scm_inst(A)), k1_funct_1(B, k5_scm_inst(A)))), k2_xcmplx_0(k5_ami_2(B), 1)))  &  ( ( (? [C] :  (v7_ordinal1(C) & A=k3_xtuple_0(6, k9_finseq_1(C), k1_xboole_0)) )  => k8_ami_2(A, B)=k6_ami_2(B, k6_scm_inst(A)))  &  ( ( (? [C] :  (v7_ordinal1(C) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(7, k9_finseq_1(C), k12_finseq_1(k2_ami_2, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(B, k15_funcop_1(k1_funct_1(B, k8_scm_inst(A)), k5_numbers, k7_scm_inst(A), k2_xcmplx_0(k5_ami_2(B), 1))))  &  ( ( (? [C] :  (v7_ordinal1(C) &  (? [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) & A=k3_xtuple_0(8, k9_finseq_1(C), k12_finseq_1(k2_ami_2, D))) ) ) )  => k8_ami_2(A, B)=k6_ami_2(B, k5_xxreal_0(k1_funct_1(B, k8_scm_inst(A)), k5_numbers, k7_scm_inst(A), k2_xcmplx_0(k5_ami_2(B), 1))))  &  ( ( (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(1, k1_xboole_0, k10_finseq_1(C, D))) ) ) ) )  &  ( (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(2, k1_xboole_0, k10_finseq_1(C, D))) ) ) ) )  &  ( (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(3, k1_xboole_0, k10_finseq_1(C, D))) ) ) ) )  &  ( (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(4, k1_xboole_0, k10_finseq_1(C, D))) ) ) ) )  &  ( (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(5, k1_xboole_0, k10_finseq_1(C, D))) ) ) ) )  &  ( (! [C] :  (v7_ordinal1(C) =>  ~ (A=k3_xtuple_0(6, k9_finseq_1(C), k1_xboole_0)) ) )  &  ( (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(7, k9_finseq_1(C), k12_finseq_1(k2_ami_2, D))) ) ) ) )  &  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  (m2_subset_1(D, k1_ami_2, k2_ami_2) =>  ~ (A=k3_xtuple_0(8, k9_finseq_1(C), k12_finseq_1(k2_ami_2, D))) ) ) ) ) ) ) ) ) ) ) )  => k8_ami_2(A, B)=B) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(d15_ami_2, axiom,  (! [A] :  ( (v1_funct_1(A) &  (v1_funct_2(A, k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))))))) )  =>  (A=k9_ami_2 <=>  (! [B] :  (m1_subset_1(B, k3_scm_inst) =>  (! [C] :  (m1_subset_1(C, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) => k1_funct_1(k3_funct_2(k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))), A, B), C)=k8_ami_2(B, C)) ) ) ) ) ) ) ).
fof(d16_ami_2, axiom,  (! [A] :  (v1_ami_2(A) <=> r2_tarski(A, k2_ami_2)) ) ).
fof(d1_ami_2, axiom, k1_ami_2=k2_xboole_0(k1_tarski(k4_ordinal1), k2_scm_inst)).
fof(d1_ami_3, axiom, k1_ami_3=g1_extpro_1(k5_card_1(2), k1_ami_2, k10_subset_1(k4_ordinal1, k1_ami_2), k3_scm_inst, k3_ami_2, k4_ami_2, k9_ami_2)).
fof(d1_scm_inst, axiom, k2_scm_inst=k2_zfmisc_1(k6_domain_1(k4_ordinal1, 1), k4_ordinal1)).
fof(d2_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k2_extpro_1(A, B, C, D)=k1_funct_1(k3_funct_2(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))), u1_extpro_1(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(d2_funcop_1, axiom,  (! [A] :  (! [B] : k2_funcop_1(A, B)=k2_zfmisc_1(A, k1_tarski(B))) ) ).
fof(d2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) => k2_memstr_0(A, B)=k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))) ) ) ) ).
fof(d2_scm_inst, axiom, k3_scm_inst=k2_xboole_0(k2_xboole_0(k2_xboole_0(k1_tarski(k3_xtuple_0(k1_scm_inst, k1_xboole_0, k1_xboole_0)), a_0_0_scm_inst), a_0_1_scm_inst), a_0_2_scm_inst)).
fof(d5_ami_2, axiom, k4_ami_2=k6_afinsq_1(k4_ordinal1, k4_numbers)).
fof(d6_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) => k5_ami_2(A)=k1_funct_1(A, k4_ordinal1)) ) ).
fof(d6_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => k4_struct_0(A)=u2_struct_0(A)) ) ).
fof(d7_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (v7_ordinal1(B) => k6_ami_2(A, B)=k1_funct_4(A, k17_funcop_1(k4_ordinal1, B))) ) ) ) ).
fof(d8_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (m2_subset_1(B, k1_ami_2, k2_ami_2) =>  (! [C] :  (v1_int_1(C) => k7_ami_2(A, B, C)=k1_funct_4(A, k17_funcop_1(B, C))) ) ) ) ) ) ).
fof(d8_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) => k7_ami_3(A)=k3_xtuple_0(6, k9_finseq_1(A), k1_xboole_0)) ) ).
fof(d9_funcop_1, axiom,  (! [A] :  (! [B] : k17_funcop_1(A, B)=k7_funcop_1(k1_tarski(A), B)) ) ).
fof(dt_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (v1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A) & l1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A)) ) ) ).
fof(dt_k10_domain_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) ) )  => m1_subset_1(k10_domain_1(A, B, C, D, E, F), k1_zfmisc_1(A))) ) ).
fof(dt_k10_finseq_1, axiom, $true).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), B)) ).
fof(dt_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m2_finseq_1(k12_finseq_1(A, B), A)) ) ).
fof(dt_k14_funcop_1, axiom, $true).
fof(dt_k15_funcop_1, axiom, $true).
fof(dt_k17_funcop_1, axiom, $true).
fof(dt_k1_ami_2, axiom, $true).
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_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_scm_inst, axiom, m2_subset_1(k1_scm_inst, k4_ordinal1, k5_card_1(9))).
fof(dt_k1_tarski, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_ami_2, axiom, m1_subset_1(k2_ami_2, k1_zfmisc_1(k1_ami_2))).
fof(dt_k2_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  &  (m1_subset_1(C, u1_compos_1(B)) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  =>  (v1_relat_1(k2_extpro_1(A, B, C, D)) &  (v4_relat_1(k2_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k2_extpro_1(A, B, C, D)) &  (v5_funct_1(k2_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k2_extpro_1(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k2_finseq_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m2_finseq_1(k2_finseq_4(A, B, C), A)) ) ).
fof(dt_k2_funcop_1, axiom, $true).
fof(dt_k2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ).
fof(dt_k2_scm_inst, axiom, $true).
fof(dt_k2_tarski, axiom, $true).
fof(dt_k2_xboole_0, axiom, $true).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_ami_2, axiom,  (v1_funct_1(k3_ami_2) &  (v1_funct_2(k3_ami_2, k1_ami_2, k5_card_1(2)) & m1_subset_1(k3_ami_2, k1_zfmisc_1(k2_zfmisc_1(k1_ami_2, k5_card_1(2))))) ) ).
fof(dt_k3_enumset1, axiom, $true).
fof(dt_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => m1_subset_1(k3_funct_2(A, B, C, D), B)) ) ).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_scm_inst, axiom,  ~ (v1_xboole_0(k3_scm_inst)) ).
fof(dt_k3_xcmplx_0, axiom, $true).
fof(dt_k3_xtuple_0, axiom, $true).
fof(dt_k4_ami_2, axiom,  (v1_relat_1(k4_ami_2) &  (v4_relat_1(k4_ami_2, k5_card_1(2)) &  (v1_funct_1(k4_ami_2) & v1_partfun1(k4_ami_2, k5_card_1(2))) ) ) ).
fof(dt_k4_card_3, axiom, $true).
fof(dt_k4_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k4_int_1(A, B))) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_scm_inst, axiom,  (! [A] :  (m1_subset_1(A, k3_scm_inst) => m1_subset_1(k4_scm_inst(A), k2_scm_inst)) ) ).
fof(dt_k4_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(k4_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k5_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) => m1_subset_1(k5_ami_2(A), k4_ordinal1)) ) ).
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_finseq_1, axiom, $true).
fof(dt_k5_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k5_int_1(A, B))) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_scm_inst, axiom,  (! [A] :  (m1_subset_1(A, k3_scm_inst) => m1_subset_1(k5_scm_inst(A), k2_scm_inst)) ) ).
fof(dt_k5_xxreal_0, axiom, $true).
fof(dt_k6_afinsq_1, axiom, $true).
fof(dt_k6_ami_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) & v7_ordinal1(B))  => m1_subset_1(k6_ami_2(A, B), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) ) ).
fof(dt_k6_domain_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => m1_subset_1(k6_domain_1(A, B), k1_zfmisc_1(A))) ) ).
fof(dt_k6_ordinal1, axiom, $true).
fof(dt_k6_scm_inst, axiom,  (! [A] :  (m1_subset_1(A, k3_scm_inst) => v7_ordinal1(k6_scm_inst(A))) ) ).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_ami_2, axiom,  (! [A, B, C] :  ( (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) &  (m1_subset_1(B, k2_ami_2) & v1_int_1(C)) )  => m1_subset_1(k7_ami_2(A, B, C), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) ) ).
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_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => m1_subset_1(k7_domain_1(A, B, C), k1_zfmisc_1(A))) ) ).
fof(dt_k7_funcop_1, axiom,  (! [A, B] :  (v1_funct_1(k7_funcop_1(A, B)) &  (v1_funct_2(k7_funcop_1(A, B), A, k1_tarski(B)) & m1_subset_1(k7_funcop_1(A, B), k1_zfmisc_1(k2_zfmisc_1(A, k1_tarski(B))))) ) ) ).
fof(dt_k7_scm_inst, axiom,  (! [A] :  (m1_subset_1(A, k3_scm_inst) => v7_ordinal1(k7_scm_inst(A))) ) ).
fof(dt_k8_ami_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k3_scm_inst) & m1_subset_1(B, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))))  => m1_subset_1(k8_ami_2(A, B), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) ) ).
fof(dt_k8_scm_inst, axiom,  (! [A] :  (m1_subset_1(A, k3_scm_inst) => m1_subset_1(k8_scm_inst(A), k2_scm_inst)) ) ).
fof(dt_k9_ami_2, axiom,  (v1_funct_1(k9_ami_2) &  (v1_funct_2(k9_ami_2, k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) & m1_subset_1(k9_ami_2, k1_zfmisc_1(k2_zfmisc_1(k3_scm_inst, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))))))) ) ).
fof(dt_k9_finseq_1, axiom,  (! [A] :  (v1_relat_1(k9_finseq_1(A)) & v1_funct_1(k9_finseq_1(A))) ) ).
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_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_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) => m1_subset_1(C, 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_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(existence_m2_finseq_1, axiom,  (! [A] :  (? [B] : m2_finseq_1(B, A)) ) ).
fof(existence_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (? [C] : m2_subset_1(C, A, B)) ) ) ).
fof(fc10_card_3, axiom, v5_card_3(k4_ordinal1)).
fof(fc10_finseq_1, axiom,  (! [A, B] : v1_finseq_1(k10_finseq_1(A, B))) ).
fof(fc10_funcop_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v1_funcop_1(k3_relat_1(B, A))) ) ) ).
fof(fc10_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_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fc11_card_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_xboole_0(k6_ordinal1(A))) ) ) ).
fof(fc11_compos_0, axiom,  (v2_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0))) & v3_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)))) ).
fof(fc11_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  => v2_facirc_1(k5_finseq_1(A))) ) ).
fof(fc11_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  => v2_relat_1(k2_funcop_1(A, B))) ) ).
fof(fc11_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v5_relat_1(k1_funct_4(B, C), A) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(fc11_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc12_card_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k1_zfmisc_1(A))) ) ) ).
fof(fc12_facirc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xtuple_0(A))  &  ~ (v1_xtuple_0(B)) )  => v2_facirc_1(k10_finseq_1(A, B))) ) ).
fof(fc12_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k17_funcop_1(A, B)) & v1_funct_1(k17_funcop_1(A, B))) ) ).
fof(fc12_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_funct_1(B, A)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, A)) ) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v1_funct_1(k1_funct_4(B, C)) & v5_funct_1(k1_funct_4(B, C), A)) ) ) ) ).
fof(fc12_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(fc12_setfam_1, axiom,  (! [A, B] :  ( (v1_setfam_1(A) & v1_setfam_1(B))  => v1_setfam_1(k2_xboole_0(A, B))) ) ).
fof(fc12_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc13_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(A, B))) ) ) ).
fof(fc13_card_3, axiom,  (! [A, B] :  ( ~ (v1_finset_1(A))  =>  ~ (v1_finset_1(k2_funcop_1(A, B))) ) ) ).
fof(fc13_funcop_1, axiom,  (! [A, B] : v2_funct_1(k17_funcop_1(A, B))) ).
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_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc14_card_1, axiom,  (! [A, B] :  ( ( ~ (v1_finset_1(A))  &  ~ (v1_xboole_0(B)) )  =>  ~ (v1_finset_1(k2_zfmisc_1(B, A))) ) ) ).
fof(fc14_funct_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v4_funct_1(k1_tarski(A))) ) ).
fof(fc14_funct_4, axiom,  (! [A, B] : v1_zfmisc_1(k17_funcop_1(A, B))) ).
fof(fc14_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k6_ordinal1(A))) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k2_funcop_1(A, B))) ) ).
fof(fc15_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => v4_funct_1(k2_tarski(A, B))) ) ).
fof(fc15_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(fc16_card_1, axiom,  (! [A] : v3_card_1(k1_tarski(A), 1)) ).
fof(fc16_compos_0, axiom, v1_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))).
fof(fc16_finseq_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v3_finseq_1(k1_tarski(A))) ) ).
fof(fc16_funcop_1, axiom,  (! [A, B] : v3_funct_1(k2_funcop_1(A, B))) ).
fof(fc17_compos_0, axiom,  (v2_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0))) & v3_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))) ).
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_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_0, axiom, v5_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)))).
fof(fc18_funcop_1, axiom,  (! [A, B] : v4_relat_1(k2_funcop_1(A, 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_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_finset_1(k6_ordinal1(A))) ) ).
fof(fc19_compos_0, axiom, v5_compos_0(k2_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0), k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))).
fof(fc19_finseq_1, axiom,  (! [A, B] :  ( (v3_finseq_1(A) & v3_finseq_1(B))  => v3_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc19_funcop_1, axiom,  (! [A, B] : v4_relat_1(k17_funcop_1(A, B), k1_tarski(A))) ).
fof(fc19_funct_1, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v3_relat_1(A) & v1_funct_1(A)) )  => v1_xboole_0(k1_funct_1(A, B))) ) ).
fof(fc19_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_2, axiom,  ~ (v1_xboole_0(k1_ami_2)) ).
fof(fc1_ami_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_setfam_1(k6_ordinal1(A))) ) ) ).
fof(fc1_compos_0, axiom, v1_compos_0(k1_tarski(k3_xtuple_0(k5_numbers, k1_xboole_0, k1_xboole_0)))).
fof(fc1_facirc_1, axiom,  (! [A] :  ( ~ (v1_xtuple_0(A))  =>  ~ (v1_facirc_1(k1_tarski(A))) ) ) ).
fof(fc1_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) & v1_funct_1(k2_funcop_1(A, B))) ) ).
fof(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_scm_inst, axiom,  ~ (v1_xboole_0(k2_scm_inst)) ).
fof(fc1_xboole_0, axiom, v1_xboole_0(k1_xboole_0)).
fof(fc20_card_1, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  => v10_ordinal1(k6_ordinal1(A))) ) ).
fof(fc20_funcop_1, axiom,  (! [A, B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => v1_funcop_1(k17_funcop_1(A, B))) ) ).
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_funcop_1, axiom,  (! [A, B] :  (v1_relat_1(k2_funcop_1(A, B)) &  (v4_relat_1(k2_funcop_1(A, B), A) &  (v1_funct_1(k2_funcop_1(A, B)) & v1_partfun1(k2_funcop_1(A, B), A)) ) ) ) ).
fof(fc21_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_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => v5_relat_1(k17_funcop_1(B, C), A)) ) ).
fof(fc22_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_finseq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k5_finseq_1(A))) ) ).
fof(fc23_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(B))  & m1_subset_1(C, B))  => v5_relat_1(k2_funcop_1(A, C), B)) ) ).
fof(fc23_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc24_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v4_relat_1(k17_funcop_1(B, C), A)) ) ).
fof(fc24_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v2_xxreal_0(k3_xcmplx_0(B, A))) ) ) ).
fof(fc25_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc26_finseq_1, axiom,  (! [A, B] :  ~ (v1_xboole_0(k10_finseq_1(A, B))) ) ).
fof(fc26_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k3_xcmplx_0(A, B))) ) ) ).
fof(fc29_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_2, axiom,  (v1_relat_1(k3_relat_1(k3_ami_2, k4_ami_2)) & v2_relat_1(k3_relat_1(k3_ami_2, k4_ami_2))) ).
fof(fc2_ami_3, axiom,  ( ~ (v2_struct_0(k1_ami_3))  & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(fc2_card_3, axiom,  (! [A, B] :  (v1_card_1(B) => v1_card_3(k2_funcop_1(A, B))) ) ).
fof(fc2_compos_0, axiom, v1_compos_0(k1_tarski(k3_xtuple_0(1, k1_xboole_0, k1_xboole_0)))).
fof(fc2_facirc_1, axiom,  (! [A, B] :  ( ( ~ (v1_xtuple_0(A))  &  ~ (v1_xtuple_0(B)) )  =>  ~ (v1_facirc_1(k2_tarski(A, B))) ) ) ).
fof(fc2_funcop_1, axiom,  (! [A] : v1_xboole_0(k2_funcop_1(k1_xboole_0, A))) ).
fof(fc2_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc2_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_ordinal2, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) )  => v3_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc2_scm_inst, axiom,  ~ (v1_xboole_0(k3_scm_inst)) ).
fof(fc2_setfam_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  => v1_setfam_1(k1_tarski(A))) ) ).
fof(fc2_xboole_0, axiom,  (! [A] :  ~ (v1_xboole_0(k1_tarski(A))) ) ).
fof(fc2_xtuple_0, axiom,  (! [A, B, C] : v2_xtuple_0(k3_xtuple_0(A, B, C))) ).
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(fc32_finseq_1, axiom,  (! [A] : v3_card_1(k5_finseq_1(A), 1)) ).
fof(fc33_finseq_1, axiom,  (! [A, B] : v3_card_1(k10_finseq_1(A, B), 2)) ).
fof(fc35_finseq_1, axiom, v4_finseq_1(k1_tarski(k1_xboole_0))).
fof(fc36_finseq_1, axiom,  (! [A, B] :  ( (v4_finseq_1(A) & v4_finseq_1(B))  => v4_finseq_1(k2_xboole_0(A, B))) ) ).
fof(fc39_finseq_1, axiom,  (! [A, B, C] :  ( (v4_finseq_1(A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) ) )  => v1_finseq_1(k1_funct_1(B, C))) ) ).
fof(fc3_ami_2, axiom,  (! [A, B] :  ( (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) & m1_subset_1(B, k2_ami_2))  => v1_int_1(k1_funct_1(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_card_3, axiom,  (! [A, B] :  (v1_card_1(B) => v1_card_3(k17_funcop_1(A, B))) ) ).
fof(fc3_funcop_1, axiom,  (! [A, B] :  (v1_xboole_0(B) => v1_xboole_0(k2_funcop_1(B, A))) ) ).
fof(fc3_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_ordinal2, axiom,  (! [A, B] :  (v3_ordinal1(B) => v1_ordinal2(k2_funcop_1(A, 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_setfam_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_xboole_0(B)) )  => v1_setfam_1(k2_tarski(A, B))) ) ).
fof(fc3_xboole_0, axiom,  (! [A, B] :  ~ (v1_xboole_0(k2_tarski(A, B))) ) ).
fof(fc4_ami_2, axiom,  (! [A, B, C, D] :  ( (v1_xxreal_0(A) &  (v1_xxreal_0(B) &  (v7_ordinal1(C) & v7_ordinal1(D)) ) )  => v7_ordinal1(k5_xxreal_0(A, B, C, D))) ) ).
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_facirc_1, axiom,  (! [A, B] :  ( ( ~ (v1_facirc_1(A))  &  ~ (v1_facirc_1(B)) )  =>  ~ (v1_facirc_1(k2_xboole_0(A, B))) ) ) ).
fof(fc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  ~ (v1_xboole_0(k2_funcop_1(B, A))) ) ) ).
fof(fc4_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) &  ~ (v1_xboole_0(k1_funct_4(A, B))) ) ) ) ) ).
fof(fc4_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k6_xcmplx_0(A, B))) ) ).
fof(fc4_ordinal2, axiom,  (! [A, B] :  (v3_ordinal1(A) => v5_ordinal1(k2_funcop_1(A, B))) ) ).
fof(fc4_scm_inst, axiom,  ( ~ (v1_xboole_0(k3_scm_inst))  & v1_compos_0(k3_scm_inst)) ).
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_funcop_1, axiom,  (! [A] : v3_relat_1(k2_funcop_1(A, k1_xboole_0))) ).
fof(fc5_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) &  ~ (v1_xboole_0(B)) ) ) )  =>  (v1_relat_1(k1_funct_4(B, A)) &  (v1_funct_1(k1_funct_4(B, A)) &  ~ (v1_xboole_0(k1_funct_4(B, A))) ) ) ) ) ).
fof(fc5_scm_inst, axiom,  ( ~ (v1_xboole_0(k3_scm_inst))  & v2_compos_0(k3_scm_inst)) ).
fof(fc5_xboole_0, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(A))  =>  ~ (v1_xboole_0(k2_xboole_0(B, A))) ) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc61_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) => v6_valued_0(k5_finseq_1(A))) ) ).
fof(fc62_finseq_1, axiom,  (! [A] :  (v1_int_1(A) => v5_valued_0(k5_finseq_1(A))) ) ).
fof(fc64_finseq_1, axiom,  (! [A] :  (v1_xreal_0(A) => v3_valued_0(k5_finseq_1(A))) ) ).
fof(fc65_finseq_1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_valued_0(k5_finseq_1(A))) ) ).
fof(fc66_finseq_1, axiom,  (! [A] :  (v1_xxreal_0(A) => v2_valued_0(k5_finseq_1(A))) ) ).
fof(fc6_card_1, axiom, v1_card_1(k4_ordinal1)).
fof(fc6_finseq_1, axiom,  (! [A] :  (v1_relat_1(k5_finseq_1(A)) & v1_funct_1(k5_finseq_1(A))) ) ).
fof(fc6_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_ordinal2, axiom,  (! [A, B, C, D] :  ( (v7_ordinal1(C) & v7_ordinal1(D))  => v7_ordinal1(k14_funcop_1(A, B, C, D))) ) ).
fof(fc6_relat_1, axiom,  (! [A, B] : v1_relat_1(k2_zfmisc_1(A, B))) ).
fof(fc6_scm_inst, axiom,  ( ~ (v1_xboole_0(k3_scm_inst))  & v3_compos_0(k3_scm_inst)) ).
fof(fc6_setfam_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  &  ( ~ (v1_xboole_0(C))  &  ( ~ (v1_xboole_0(D))  &  ~ (v1_xboole_0(E)) ) ) ) )  => v1_setfam_1(k3_enumset1(A, B, C, D, E))) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc7_card_1, axiom, v2_card_1(k4_ordinal1)).
fof(fc7_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v2_card_3(k1_tarski(A))) ) ).
fof(fc7_finseq_1, axiom,  (! [A] : v1_finseq_1(k5_finseq_1(A))) ).
fof(fc7_funct_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_funct_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_funct_1(B)) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_funct_1(k3_relat_1(A, B))) ) ) ).
fof(fc7_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_funcop_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_funcop_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc7_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_scm_inst, axiom,  ( ~ (v1_xboole_0(k3_scm_inst))  & v5_compos_0(k3_scm_inst)) ).
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_facirc_1, axiom,  (! [A] :  (v1_xtuple_0(A) => v1_relat_1(k1_tarski(A))) ) ).
fof(fc8_finseq_1, axiom,  (! [A, B] :  (v1_relat_1(k10_finseq_1(A, B)) & v1_funct_1(k10_finseq_1(A, B))) ) ).
fof(fc8_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v4_relat_1(k1_funct_4(B, C), A) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc9_card_1, axiom,  ~ (v1_finset_1(k4_ordinal1)) ).
fof(fc9_card_3, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v3_card_3(k4_card_3(A))) ) ).
fof(fc9_facirc_1, axiom,  (! [A, B] :  ( (v1_xtuple_0(A) & v1_xtuple_0(B))  => v1_relat_1(k2_tarski(A, B))) ) ).
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_ordinal1, axiom, v8_ordinal1(k5_ordinal1)).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(fraenkel_a_0_0_scm_inst, axiom,  (! [A] :  (r2_hidden(A, a_0_0_scm_inst) <=>  (? [B, C] :  ( (m2_subset_1(B, k4_ordinal1, k5_card_1(9)) & v7_ordinal1(C))  &  (A=k3_xtuple_0(B, k9_finseq_1(C), k1_xboole_0) & B=6) ) ) ) ) ).
fof(fraenkel_a_0_1_scm_inst, axiom,  (! [A] :  (r2_hidden(A, a_0_1_scm_inst) <=>  (? [B, C, D] :  ( (m2_subset_1(B, k4_ordinal1, k5_card_1(9)) &  (v7_ordinal1(C) & m1_subset_1(D, k2_scm_inst)) )  &  (A=k3_xtuple_0(B, k9_finseq_1(C), k12_finseq_1(k2_scm_inst, D)) & r2_tarski(B, k7_domain_1(k4_ordinal1, 7, 8))) ) ) ) ) ).
fof(fraenkel_a_0_2_scm_inst, axiom,  (! [A] :  (r2_hidden(A, a_0_2_scm_inst) <=>  (? [B, C, D] :  ( (m2_subset_1(B, k4_ordinal1, k5_card_1(9)) &  (m1_subset_1(C, k2_scm_inst) & m1_subset_1(D, k2_scm_inst)) )  &  (A=k3_xtuple_0(B, k1_xboole_0, k2_finseq_4(k2_scm_inst, C, D)) & r2_tarski(B, k10_domain_1(k4_ordinal1, 1, 2, 3, 4, 5))) ) ) ) ) ).
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(rc10_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v1_card_1(B)) ) ) ) ).
fof(rc10_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  & v3_memstr_0(B, A)) ) ) ) ) ).
fof(rc10_finseq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ).
fof(rc10_ordinal1, axiom,  (? [A] :  ~ (v8_ordinal1(A)) ) ).
fof(rc11_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v4_finseq_1(A)) ) ).
fof(rc11_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) ) ) ).
fof(rc12_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc12_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) & v9_ordinal1(A)) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc14_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc15_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc16_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v6_valued_0(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc1_ami_3, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_ami_3)) & v1_ami_2(A)) ) ).
fof(rc1_card_1, axiom,  (? [A] : v1_card_1(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_facirc_1, axiom,  (? [A] :  ~ (v1_xtuple_0(A)) ) ).
fof(rc1_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, A))) &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_finseq_1(B)) ) ) ) ) ).
fof(rc1_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_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_setfam_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_setfam_1(A)) ) ).
fof(rc1_xboole_0, axiom,  (? [A] : v1_xboole_0(A)) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xtuple_0, axiom,  (? [A] : v1_xtuple_0(A)) ).
fof(rc2_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ).
fof(rc2_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v1_compos_0(A) &  (v2_compos_0(A) & v3_compos_0(A)) ) ) ) ) ).
fof(rc2_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_extpro_1(B, A) &  ~ (v2_struct_0(B)) ) ) ) ) ).
fof(rc2_facirc_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  ~ (v1_facirc_1(A)) ) ) ).
fof(rc2_finseq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ).
fof(rc2_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_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_ordinal2, axiom,  (? [A] :  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_ordinal2(A)) ) ) ) ).
fof(rc2_relat_1, axiom,  (? [A] :  (v1_relat_1(A) & v2_relat_1(A)) ) ).
fof(rc2_setfam_1, axiom,  (? [A] :  ~ (v2_setfam_1(A)) ) ).
fof(rc2_xboole_0, axiom,  (? [A] :  ~ (v1_xboole_0(A)) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xtuple_0, axiom,  (? [A] : v2_xtuple_0(A)) ).
fof(rc3_card_1, axiom,  (? [A] :  ~ (v1_finset_1(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_facirc_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v2_funct_1(B) &  (v1_finset_1(B) &  (v3_card_1(B, A) &  (v1_finseq_1(B) &  (v2_finseq_1(B) &  (v4_card_3(B) & v2_facirc_1(B)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_finseq_1, axiom,  (! [A] :  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  (v1_xboole_0(B) &  (v1_finset_1(B) & v1_finseq_1(B)) ) ) ) ) ) ) ) ).
fof(rc3_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) &  (v3_funct_1(C) &  (v1_partfun1(C, A) & v1_funct_2(C, A, B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_funct_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_memstr_0(B, A) & v2_memstr_0(B, A)) ) ) ) ).
fof(rc3_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_setfam_1, axiom,  (! [A] :  ( ~ (v2_setfam_1(A))  =>  (? [B] :  (m1_subset_1(B, A) &  ~ (v1_xboole_0(B)) ) ) ) ) ).
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_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(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_facirc_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v2_funct_1(A) &  (v1_finset_1(A) &  (v1_finseq_1(A) &  (v2_finseq_1(A) &  (v4_card_3(A) & v2_facirc_1(A)) ) ) ) ) ) ) ) ) ).
fof(rc4_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v2_finseq_1(A)) ) ) ).
fof(rc4_funcop_1, axiom,  (! [A, B] :  ( ~ (v1_xboole_0(B))  =>  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) ) ) ) ) ) ).
fof(rc4_funct_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) ) ) ) ).
fof(rc4_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_card_1, axiom,  (? [A] :  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  & v1_card_1(A)) ) ) ) ) ) ).
fof(rc5_card_3, axiom,  (? [A] : v5_card_3(A)) ).
fof(rc5_finseq_1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v3_finseq_1(A)) ) ).
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_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_1, axiom,  (! [A] :  ( ~ (v1_finset_1(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) &  ~ (v1_finset_1(B)) ) ) ) ) ).
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_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ).
fof(rc6_funct_1, axiom,  (! [A, B] :  (? [C] :  (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) & v1_funct_1(C)) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc7_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] : v3_card_1(B, A)) ) ) ).
fof(rc7_finseq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v2_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) &  (v1_finseq_1(A) & v2_finseq_1(A)) ) ) ) ) ) ) ) ).
fof(rc7_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_card_1, axiom,  (! [A] :  (v1_card_1(A) =>  (? [B] :  (v1_relat_1(B) &  (v1_funct_1(B) & v3_card_1(B, A)) ) ) ) ) ).
fof(rc8_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_finseq_1(B, A) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ) ).
fof(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_card_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) & v3_card_1(B, 1)) ) ) ) ).
fof(rc9_finseq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, A) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  &  (v1_finset_1(B) &  (v1_finseq_1(B) & v2_finseq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc9_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_finseq_1, axiom,  (! [A] : k1_funct_1(k9_finseq_1(A), 1)=A) ).
fof(rd1_funcop_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(C, A))  => k1_funct_1(k2_funcop_1(A, B), C)=B) ) ).
fof(rd1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_xboole_0(B)) ) )  => k1_funct_4(B, A)=A) ) ).
fof(rd2_finseq_1, axiom,  (! [A, B] : k1_funct_1(k10_finseq_1(A, B), 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(rd3_finseq_1, axiom,  (! [A, B] : k1_funct_1(k10_finseq_1(A, B), 2)=B) ).
fof(rd3_int_1, axiom,  (! [A] :  (v1_int_1(A) => k4_int_1(A, k5_numbers)=k5_numbers) ) ).
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(rd4_int_1, axiom,  (! [A] :  (v1_int_1(A) => k4_int_1(k5_numbers, A)=k5_numbers) ) ).
fof(rd5_int_1, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k4_numbers)=A) ) ).
fof(redefinition_k10_domain_1, axiom,  (! [A, B, C, D, E, F] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) &  (m1_subset_1(C, A) &  (m1_subset_1(D, A) &  (m1_subset_1(E, A) & m1_subset_1(F, A)) ) ) ) )  => k10_domain_1(A, B, C, D, E, F)=k3_enumset1(B, C, D, E, F)) ) ).
fof(redefinition_k12_finseq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k12_finseq_1(A, B)=k5_finseq_1(B)) ) ).
fof(redefinition_k15_funcop_1, axiom,  (! [A, B, C, D] : k15_funcop_1(A, B, C, D)=k14_funcop_1(A, B, C, D)) ).
fof(redefinition_k1_scm_inst, axiom, k1_scm_inst=k5_ordinal1).
fof(redefinition_k2_ami_2, axiom, k2_ami_2=k2_scm_inst).
fof(redefinition_k2_finseq_4, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k2_finseq_4(A, B, C)=k10_finseq_1(B, C)) ) ).
fof(redefinition_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => k3_funct_2(A, B, C, D)=k1_funct_1(C, D)) ) ).
fof(redefinition_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => k5_card_1(A)=k6_ordinal1(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k6_domain_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => k6_domain_1(A, B)=k1_tarski(B)) ) ).
fof(redefinition_k7_domain_1, axiom,  (! [A, B, C] :  ( ( ~ (v1_xboole_0(A))  &  (m1_subset_1(B, A) & m1_subset_1(C, A)) )  => k7_domain_1(A, B, C)=k2_tarski(B, C)) ) ).
fof(redefinition_k7_funcop_1, axiom,  (! [A, B] : k7_funcop_1(A, B)=k2_funcop_1(A, B)) ).
fof(redefinition_k9_finseq_1, axiom,  (! [A] : k9_finseq_1(A)=k5_finseq_1(A)) ).
fof(redefinition_m2_finseq_1, axiom,  (! [A] :  (! [B] :  (m2_finseq_1(B, A) <=> m1_finseq_1(B, A)) ) ) ).
fof(redefinition_m2_subset_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(A))) )  =>  (! [C] :  (m2_subset_1(C, A, B) <=> m1_subset_1(C, B)) ) ) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r2, axiom, r1_xxreal_0(1, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r3, axiom, r1_xxreal_0(1, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r4, axiom, r1_xxreal_0(1, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r6, axiom, r1_xxreal_0(1, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r7, axiom, r1_xxreal_0(1, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r8, axiom, r1_xxreal_0(1, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r9, axiom, r1_xxreal_0(1, 9)).
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__r2_r4, axiom, r1_xxreal_0(2, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r6, axiom, r1_xxreal_0(2, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r7, axiom, r1_xxreal_0(2, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r8, axiom, r1_xxreal_0(2, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r9, axiom, r1_xxreal_0(2, 9)).
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(rqLessOrEqual__r1_xxreal_0__r3_r4, axiom, r1_xxreal_0(3, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r6, axiom, r1_xxreal_0(3, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r7, axiom, r1_xxreal_0(3, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r8, axiom, r1_xxreal_0(3, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r9, axiom, r1_xxreal_0(3, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r1, axiom,  ~ (r1_xxreal_0(4, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r2, axiom,  ~ (r1_xxreal_0(4, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r3, axiom,  ~ (r1_xxreal_0(4, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r4_r4, axiom, r1_xxreal_0(4, 4)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r5, axiom, r1_xxreal_0(4, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r6, axiom, r1_xxreal_0(4, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r7, axiom, r1_xxreal_0(4, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r8, axiom, r1_xxreal_0(4, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r4_r9, axiom, r1_xxreal_0(4, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r1, axiom,  ~ (r1_xxreal_0(5, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r2, axiom,  ~ (r1_xxreal_0(5, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r3, axiom,  ~ (r1_xxreal_0(5, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r4, axiom,  ~ (r1_xxreal_0(5, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r6, axiom, r1_xxreal_0(5, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r7, axiom, r1_xxreal_0(5, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r8, axiom, r1_xxreal_0(5, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r9, axiom, r1_xxreal_0(5, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r1, axiom,  ~ (r1_xxreal_0(6, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r2, axiom,  ~ (r1_xxreal_0(6, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r3, axiom,  ~ (r1_xxreal_0(6, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r4, axiom,  ~ (r1_xxreal_0(6, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r5, axiom,  ~ (r1_xxreal_0(6, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r6_r6, axiom, r1_xxreal_0(6, 6)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r7, axiom, r1_xxreal_0(6, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r8, axiom, r1_xxreal_0(6, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r6_r9, axiom, r1_xxreal_0(6, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r1, axiom,  ~ (r1_xxreal_0(7, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r2, axiom,  ~ (r1_xxreal_0(7, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r3, axiom,  ~ (r1_xxreal_0(7, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r4, axiom,  ~ (r1_xxreal_0(7, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r5, axiom,  ~ (r1_xxreal_0(7, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r6, axiom,  ~ (r1_xxreal_0(7, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r7_r7, axiom, r1_xxreal_0(7, 7)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r8, axiom, r1_xxreal_0(7, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r7_r9, axiom, r1_xxreal_0(7, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r1, axiom,  ~ (r1_xxreal_0(8, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r2, axiom,  ~ (r1_xxreal_0(8, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r3, axiom,  ~ (r1_xxreal_0(8, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r4, axiom,  ~ (r1_xxreal_0(8, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r5, axiom,  ~ (r1_xxreal_0(8, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r6, axiom,  ~ (r1_xxreal_0(8, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r7, axiom,  ~ (r1_xxreal_0(8, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r8_r8, axiom, r1_xxreal_0(8, 8)).
fof(rqLessOrEqual__r1_xxreal_0__r8_r9, axiom, r1_xxreal_0(8, 9)).
fof(rqLessOrEqual__r1_xxreal_0__r9_r1, axiom,  ~ (r1_xxreal_0(9, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r2, axiom,  ~ (r1_xxreal_0(9, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r3, axiom,  ~ (r1_xxreal_0(9, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r4, axiom,  ~ (r1_xxreal_0(9, 4)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r5, axiom,  ~ (r1_xxreal_0(9, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r6, axiom,  ~ (r1_xxreal_0(9, 6)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r7, axiom,  ~ (r1_xxreal_0(9, 7)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r8, axiom,  ~ (r1_xxreal_0(9, 8)) ).
fof(rqLessOrEqual__r1_xxreal_0__r9_r9, axiom, r1_xxreal_0(9, 9)).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r2_r3, axiom, k2_xcmplx_0(1, 2)=3).
fof(rqRealAdd__k2_xcmplx_0__r1_r3_r4, axiom, k2_xcmplx_0(1, 3)=4).
fof(rqRealAdd__k2_xcmplx_0__r1_r4_r5, axiom, k2_xcmplx_0(1, 4)=5).
fof(rqRealAdd__k2_xcmplx_0__r1_r5_r6, axiom, k2_xcmplx_0(1, 5)=6).
fof(rqRealAdd__k2_xcmplx_0__r1_r6_r7, axiom, k2_xcmplx_0(1, 6)=7).
fof(rqRealAdd__k2_xcmplx_0__r1_r7_r8, axiom, k2_xcmplx_0(1, 7)=8).
fof(rqRealAdd__k2_xcmplx_0__r1_r8_r9, axiom, k2_xcmplx_0(1, 8)=9).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
fof(rqRealAdd__k2_xcmplx_0__r2_r3_r5, axiom, k2_xcmplx_0(2, 3)=5).
fof(rqRealAdd__k2_xcmplx_0__r2_r4_r6, axiom, k2_xcmplx_0(2, 4)=6).
fof(rqRealAdd__k2_xcmplx_0__r2_r5_r7, axiom, k2_xcmplx_0(2, 5)=7).
fof(rqRealAdd__k2_xcmplx_0__r2_r6_r8, axiom, k2_xcmplx_0(2, 6)=8).
fof(rqRealAdd__k2_xcmplx_0__r2_r7_r9, axiom, k2_xcmplx_0(2, 7)=9).
fof(rqRealAdd__k2_xcmplx_0__r3_r1_r4, axiom, k2_xcmplx_0(3, 1)=4).
fof(rqRealAdd__k2_xcmplx_0__r3_r2_r5, axiom, k2_xcmplx_0(3, 2)=5).
fof(rqRealAdd__k2_xcmplx_0__r3_r3_r6, axiom, k2_xcmplx_0(3, 3)=6).
fof(rqRealAdd__k2_xcmplx_0__r3_r4_r7, axiom, k2_xcmplx_0(3, 4)=7).
fof(rqRealAdd__k2_xcmplx_0__r3_r5_r8, axiom, k2_xcmplx_0(3, 5)=8).
fof(rqRealAdd__k2_xcmplx_0__r3_r6_r9, axiom, k2_xcmplx_0(3, 6)=9).
fof(rqRealAdd__k2_xcmplx_0__r4_r1_r5, axiom, k2_xcmplx_0(4, 1)=5).
fof(rqRealAdd__k2_xcmplx_0__r4_r2_r6, axiom, k2_xcmplx_0(4, 2)=6).
fof(rqRealAdd__k2_xcmplx_0__r4_r3_r7, axiom, k2_xcmplx_0(4, 3)=7).
fof(rqRealAdd__k2_xcmplx_0__r4_r4_r8, axiom, k2_xcmplx_0(4, 4)=8).
fof(rqRealAdd__k2_xcmplx_0__r4_r5_r9, axiom, k2_xcmplx_0(4, 5)=9).
fof(rqRealAdd__k2_xcmplx_0__r5_r1_r6, axiom, k2_xcmplx_0(5, 1)=6).
fof(rqRealAdd__k2_xcmplx_0__r5_r2_r7, axiom, k2_xcmplx_0(5, 2)=7).
fof(rqRealAdd__k2_xcmplx_0__r5_r3_r8, axiom, k2_xcmplx_0(5, 3)=8).
fof(rqRealAdd__k2_xcmplx_0__r5_r4_r9, axiom, k2_xcmplx_0(5, 4)=9).
fof(rqRealAdd__k2_xcmplx_0__r6_r1_r7, axiom, k2_xcmplx_0(6, 1)=7).
fof(rqRealAdd__k2_xcmplx_0__r6_r2_r8, axiom, k2_xcmplx_0(6, 2)=8).
fof(rqRealAdd__k2_xcmplx_0__r6_r3_r9, axiom, k2_xcmplx_0(6, 3)=9).
fof(rqRealAdd__k2_xcmplx_0__r7_r1_r8, axiom, k2_xcmplx_0(7, 1)=8).
fof(rqRealAdd__k2_xcmplx_0__r7_r2_r9, axiom, k2_xcmplx_0(7, 2)=9).
fof(rqRealAdd__k2_xcmplx_0__r8_r1_r9, axiom, k2_xcmplx_0(8, 1)=9).
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(rqRealDiff__k6_xcmplx_0__r4_r1_r3, axiom, k6_xcmplx_0(4, 1)=3).
fof(rqRealDiff__k6_xcmplx_0__r4_r2_r2, axiom, k6_xcmplx_0(4, 2)=2).
fof(rqRealDiff__k6_xcmplx_0__r4_r3_r1, axiom, k6_xcmplx_0(4, 3)=1).
fof(rqRealDiff__k6_xcmplx_0__r5_r1_r4, axiom, k6_xcmplx_0(5, 1)=4).
fof(rqRealDiff__k6_xcmplx_0__r5_r2_r3, axiom, k6_xcmplx_0(5, 2)=3).
fof(rqRealDiff__k6_xcmplx_0__r5_r3_r2, axiom, k6_xcmplx_0(5, 3)=2).
fof(rqRealDiff__k6_xcmplx_0__r5_r4_r1, axiom, k6_xcmplx_0(5, 4)=1).
fof(rqRealDiff__k6_xcmplx_0__r6_r1_r5, axiom, k6_xcmplx_0(6, 1)=5).
fof(rqRealDiff__k6_xcmplx_0__r6_r2_r4, axiom, k6_xcmplx_0(6, 2)=4).
fof(rqRealDiff__k6_xcmplx_0__r6_r3_r3, axiom, k6_xcmplx_0(6, 3)=3).
fof(rqRealDiff__k6_xcmplx_0__r6_r4_r2, axiom, k6_xcmplx_0(6, 4)=2).
fof(rqRealDiff__k6_xcmplx_0__r6_r5_r1, axiom, k6_xcmplx_0(6, 5)=1).
fof(rqRealDiff__k6_xcmplx_0__r7_r1_r6, axiom, k6_xcmplx_0(7, 1)=6).
fof(rqRealDiff__k6_xcmplx_0__r7_r2_r5, axiom, k6_xcmplx_0(7, 2)=5).
fof(rqRealDiff__k6_xcmplx_0__r7_r3_r4, axiom, k6_xcmplx_0(7, 3)=4).
fof(rqRealDiff__k6_xcmplx_0__r7_r4_r3, axiom, k6_xcmplx_0(7, 4)=3).
fof(rqRealDiff__k6_xcmplx_0__r7_r5_r2, axiom, k6_xcmplx_0(7, 5)=2).
fof(rqRealDiff__k6_xcmplx_0__r7_r6_r1, axiom, k6_xcmplx_0(7, 6)=1).
fof(rqRealDiff__k6_xcmplx_0__r8_r1_r7, axiom, k6_xcmplx_0(8, 1)=7).
fof(rqRealDiff__k6_xcmplx_0__r8_r2_r6, axiom, k6_xcmplx_0(8, 2)=6).
fof(rqRealDiff__k6_xcmplx_0__r8_r3_r5, axiom, k6_xcmplx_0(8, 3)=5).
fof(rqRealDiff__k6_xcmplx_0__r8_r4_r4, axiom, k6_xcmplx_0(8, 4)=4).
fof(rqRealDiff__k6_xcmplx_0__r8_r5_r3, axiom, k6_xcmplx_0(8, 5)=3).
fof(rqRealDiff__k6_xcmplx_0__r8_r6_r2, axiom, k6_xcmplx_0(8, 6)=2).
fof(rqRealDiff__k6_xcmplx_0__r8_r7_r1, axiom, k6_xcmplx_0(8, 7)=1).
fof(rqRealDiff__k6_xcmplx_0__r9_r1_r8, axiom, k6_xcmplx_0(9, 1)=8).
fof(rqRealDiff__k6_xcmplx_0__r9_r2_r7, axiom, k6_xcmplx_0(9, 2)=7).
fof(rqRealDiff__k6_xcmplx_0__r9_r3_r6, axiom, k6_xcmplx_0(9, 3)=6).
fof(rqRealDiff__k6_xcmplx_0__r9_r4_r5, axiom, k6_xcmplx_0(9, 4)=5).
fof(rqRealDiff__k6_xcmplx_0__r9_r5_r4, axiom, k6_xcmplx_0(9, 5)=4).
fof(rqRealDiff__k6_xcmplx_0__r9_r6_r3, axiom, k6_xcmplx_0(9, 6)=3).
fof(rqRealDiff__k6_xcmplx_0__r9_r7_r2, axiom, k6_xcmplx_0(9, 7)=2).
fof(rqRealDiff__k6_xcmplx_0__r9_r8_r1, axiom, k6_xcmplx_0(9, 8)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r1_r1, axiom, k3_xcmplx_0(1, 1)=1).
fof(rqRealMult__k3_xcmplx_0__r1_r2_r2, axiom, k3_xcmplx_0(1, 2)=2).
fof(rqRealMult__k3_xcmplx_0__r1_r3_r3, axiom, k3_xcmplx_0(1, 3)=3).
fof(rqRealMult__k3_xcmplx_0__r1_r4_r4, axiom, k3_xcmplx_0(1, 4)=4).
fof(rqRealMult__k3_xcmplx_0__r1_r5_r5, axiom, k3_xcmplx_0(1, 5)=5).
fof(rqRealMult__k3_xcmplx_0__r1_r6_r6, axiom, k3_xcmplx_0(1, 6)=6).
fof(rqRealMult__k3_xcmplx_0__r1_r7_r7, axiom, k3_xcmplx_0(1, 7)=7).
fof(rqRealMult__k3_xcmplx_0__r1_r8_r8, axiom, k3_xcmplx_0(1, 8)=8).
fof(rqRealMult__k3_xcmplx_0__r1_r9_r9, axiom, k3_xcmplx_0(1, 9)=9).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r2_r2_r4, axiom, k3_xcmplx_0(2, 2)=4).
fof(rqRealMult__k3_xcmplx_0__r2_r3_r6, axiom, k3_xcmplx_0(2, 3)=6).
fof(rqRealMult__k3_xcmplx_0__r2_r4_r8, axiom, k3_xcmplx_0(2, 4)=8).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(3, 1)=3).
fof(rqRealMult__k3_xcmplx_0__r3_r2_r6, axiom, k3_xcmplx_0(3, 2)=6).
fof(rqRealMult__k3_xcmplx_0__r3_r3_r9, axiom, k3_xcmplx_0(3, 3)=9).
fof(rqRealMult__k3_xcmplx_0__r4_r1_r4, axiom, k3_xcmplx_0(4, 1)=4).
fof(rqRealMult__k3_xcmplx_0__r4_r2_r8, axiom, k3_xcmplx_0(4, 2)=8).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom, k3_xcmplx_0(5, 1)=5).
fof(rqRealMult__k3_xcmplx_0__r6_r1_r6, axiom, k3_xcmplx_0(6, 1)=6).
fof(rqRealMult__k3_xcmplx_0__r7_r1_r7, axiom, k3_xcmplx_0(7, 1)=7).
fof(rqRealMult__k3_xcmplx_0__r8_r1_r8, axiom, k3_xcmplx_0(8, 1)=8).
fof(rqRealMult__k3_xcmplx_0__r9_r1_r9, axiom, k3_xcmplx_0(9, 1)=9).
fof(spc1_boole, axiom,  ~ (v1_xboole_0(1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_boole, axiom,  ~ (v1_xboole_0(2)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc3_boole, axiom,  ~ (v1_xboole_0(3)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(spc4_boole, axiom,  ~ (v1_xboole_0(4)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(spc5_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(k3_xcmplx_0(A, C), k3_xcmplx_0(B, C))) ) ).
fof(spc5_boole, axiom,  ~ (v1_xboole_0(5)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(spc6_boole, axiom,  ~ (v1_xboole_0(6)) ).
fof(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, k4_ordinal1)) ).
fof(spc7_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k3_xcmplx_0(k3_xcmplx_0(A, B), C)=k3_xcmplx_0(A, k3_xcmplx_0(B, C))) ) ).
fof(spc7_boole, axiom,  ~ (v1_xboole_0(7)) ).
fof(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, k4_ordinal1)) ).
fof(spc8_boole, axiom,  ~ (v1_xboole_0(8)) ).
fof(spc8_numerals, axiom,  (v2_xxreal_0(8) & m1_subset_1(8, k4_ordinal1)) ).
fof(spc9_boole, axiom,  ~ (v1_xboole_0(9)) ).
fof(spc9_numerals, axiom,  (v2_xxreal_0(9) & m1_subset_1(9, k4_ordinal1)) ).
fof(t107_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] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v1_funct_1(C) &  (v5_funct_1(C, B) & v1_partfun1(C, A)) ) ) )  => r2_tarski(C, k4_card_3(B))) ) ) ) ) ).
fof(t11_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (v7_ordinal1(B) => k1_funct_1(k6_ami_2(A, B), k4_ordinal1)=B) ) ) ) ).
fof(t12_ami_2, axiom,  (! [A] :  (m1_subset_1(A, k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k1_ami_2, k2_ami_2) => k1_funct_1(k6_ami_2(A, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ).
fof(t1_ami_3, axiom, k4_struct_0(k1_ami_3)=k4_ordinal1).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
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_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
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(t2_tarski, axiom,  (! [A] :  (! [B] :  ( (! [C] :  (r2_hidden(C, A) <=> r2_hidden(C, B)) )  => A=B) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
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(t44_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  (v7_ordinal1(B) =>  (r2_hidden(A, k5_card_1(B)) <=>  ~ (r1_xxreal_0(B, A)) ) ) ) ) ) ).
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(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(t6_scm_inst, axiom,  (! [A] :  (m1_subset_1(A, k3_scm_inst) =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (m2_subset_1(C, k4_ordinal1, k5_card_1(9)) =>  (A=k3_xtuple_0(C, k9_finseq_1(B), k1_xboole_0) => k6_scm_inst(A)=B) ) ) ) ) ) ) ).
fof(t7_boole, axiom,  (! [A] :  (! [B] :  ~ ( (r2_tarski(A, B) & v1_xboole_0(B)) ) ) ) ).
fof(t7_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(B)) ) ) ) ) ) ) ) ).
fof(t8_boole, axiom,  (! [A] :  (! [B] :  ~ ( (v1_xboole_0(A) &  ( ~ (A=B)  & v1_xboole_0(B)) ) ) ) ) ).
fof(t8_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
