% Mizar problem: t2_scpqsort,scpqsort,119,5 
fof(t2_scpqsort, conjecture,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(B, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(C, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v1_finset_1(D) &  (v1_afinsq_1(D) &  (v2_compos_1(D, k1_scmpds_2) & v3_scmpds_4(D)) ) ) ) ) ) ) )  =>  (! [E] :  ( (v1_ami_2(E) & m1_subset_1(E, u1_struct_0(k1_scmpds_2)))  =>  (! [F] :  (v1_int_1(F) =>  (! [G] :  (v7_ordinal1(G) =>  ( (r1_scmpds_6(D, B, A) &  (r2_scmpds_6(D, B, A) &  (G=k1_nat_1(k8_extpro_1(k5_card_1(2), k1_scmpds_2, k1_funct_4(A, k10_compos_1(k1_scmpds_2, D)), k8_memstr_0(k5_card_1(2), k1_scmpds_2, B)), 2) & r6_pboole(u1_struct_0(k1_scmpds_2), C, k5_extpro_1(k5_card_1(2), k1_scmpds_2, k1_funct_4(A, k10_compos_1(k1_scmpds_2, k2_scmpds_8(E, F, D))), k8_memstr_0(k5_card_1(2), k1_scmpds_2, B), G))) ) )  =>  (r1_xxreal_0(k1_funct_1(B, k2_scmpds_2(k1_funct_1(B, E), F)), k5_numbers) |  (k6_memstr_0(k5_card_1(2), k1_scmpds_2, C)=k6_memstr_0(k5_card_1(2), k1_scmpds_2, k6_scmpds_4(D, k8_memstr_0(k5_card_1(2), k1_scmpds_2, B), A)) & r6_pboole(u1_struct_0(k1_scmpds_2), k8_memstr_0(k5_card_1(2), k1_scmpds_2, C), C)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
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_ordinal1, axiom,  (! [A] :  (v6_ordinal1(A) =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_ordinal1(B)) ) ) ) ).
fof(cc10_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v1_valued_0(B)) ) ) ) ).
fof(cc11_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v7_ordinal1(A)) ) ).
fof(cc11_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v2_valued_0(B)) ) ) ) ).
fof(cc12_ordinal1, axiom,  (! [A] :  (v8_ordinal1(A) => v1_zfmisc_1(A)) ) ).
fof(cc12_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v3_valued_0(B)) ) ) ) ).
fof(cc13_ordinal1, axiom,  (! [A] :  ( ~ (v1_zfmisc_1(A))  =>  ~ (v8_ordinal1(A)) ) ) ).
fof(cc13_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v4_valued_0(B)) ) ) ) ).
fof(cc14_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc14_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v5_valued_0(B)) ) ) ) ).
fof(cc15_ordinal1, axiom,  (! [A] :  ( (v1_xboole_0(A) & v1_relat_1(A))  =>  (v1_relat_1(A) & v9_ordinal1(A)) ) ) ).
fof(cc15_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (! [B] :  (m1_subset_1(B, k1_zfmisc_1(A)) => v6_valued_0(B)) ) ) ) ).
fof(cc16_ordinal1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v10_ordinal1(A)) )  =>  (! [B] :  (m1_subset_1(B, A) =>  ~ (v8_ordinal1(B)) ) ) ) ) ).
fof(cc16_valued_0, axiom,  (! [A, B] :  (v1_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_valued_0(C)) ) ) ) ).
fof(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc17_valued_0, axiom,  (! [A, B] :  (v2_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v2_valued_0(C)) ) ) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc18_valued_0, axiom,  (! [A, B] :  (v3_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v3_valued_0(C)) ) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc19_valued_0, axiom,  (! [A, B] :  (v4_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v4_valued_0(C)) ) ) ) ).
fof(cc1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc1_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_funct_7, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) & v1_funct_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc1_int_1, axiom,  (! [A] :  (m1_subset_1(A, k4_numbers) => v1_int_1(A)) ) ).
fof(cc1_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v3_ordinal1(A) & v7_ordinal1(A)) ) ) ).
fof(cc1_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) =>  (v1_ordinal1(A) & v2_ordinal1(A)) ) ) ).
fof(cc1_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_relat_1(C)) ) ) ).
fof(cc1_scmpds_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v2_scmpds_4(A)) ) ) ) ) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v1_scmpds_4(A)) ) ) ) ) ) ) ) ) ).
fof(cc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc1_xreal_0, axiom,  (! [A] :  (m1_subset_1(A, k1_numbers) => v1_xreal_0(A)) ) ).
fof(cc1_xxreal_0, axiom,  (! [A] :  (m1_subset_1(A, k6_numbers) => v1_xxreal_0(A)) ) ).
fof(cc20_ordinal1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  => v10_ordinal1(A)) ) ).
fof(cc20_valued_0, axiom,  (! [A, B] :  (v5_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v5_valued_0(C)) ) ) ) ).
fof(cc21_valued_0, axiom,  (! [A, B] :  (v6_membered(B) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v6_valued_0(C)) ) ) ) ).
fof(cc22_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_zfmisc_1(A) & v2_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) &  (v7_valued_0(A) & v8_valued_0(A)) ) ) ) ) ) ).
fof(cc23_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) ) ) ) ).
fof(cc24_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) ) ) ) ).
fof(cc28_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k2_numbers))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc29_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k2_numbers)) ) ) ).
fof(cc2_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(cc2_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_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_funct_7(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_funcop_1(A) & v1_finseq_1(A)) ) ) ) ) ).
fof(cc2_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
fof(cc2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (! [C] :  ( (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) )  =>  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v4_memstr_0(C, A, B)) ) ) ) ) ) ) ) ).
fof(cc2_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc2_ordinal1, axiom,  (! [A] :  ( (v1_ordinal1(A) & v2_ordinal1(A))  => v3_ordinal1(A)) ) ).
fof(cc2_relset_1, axiom,  (! [A, B] :  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) =>  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ).
fof(cc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc2_xreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xreal_0(A)) ) ).
fof(cc2_xxreal_0, axiom,  (! [A] :  (v7_ordinal1(A) => v1_xxreal_0(A)) ) ).
fof(cc30_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k6_numbers))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc31_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k6_numbers)) ) ) ).
fof(cc32_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k1_numbers))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc33_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k1_numbers)) ) ) ).
fof(cc34_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k3_numbers))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc35_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k3_numbers)) ) ) ).
fof(cc36_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_numbers))  =>  (v1_relat_1(A) & v5_valued_0(A)) ) ) ).
fof(cc37_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_numbers)) ) ) ).
fof(cc38_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(cc39_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v5_relat_1(A, k4_ordinal1)) ) ) ).
fof(cc3_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) ) ) ) ) ) ) ).
fof(cc3_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_funct_7, axiom,  (! [A] :  ( (v1_xboole_0(A) &  (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) ) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) &  (v1_finseq_1(A) & v1_funct_7(A)) ) ) ) ) ).
fof(cc3_int_1, axiom,  (! [A] :  (v1_int_1(A) => v1_xreal_0(A)) ) ).
fof(cc3_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v7_ordinal1(A) &  ~ (v3_xxreal_0(A)) ) ) ) ).
fof(cc3_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v3_ordinal1(A)) ) ).
fof(cc3_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) => v1_xboole_0(C)) ) ) ) ).
fof(cc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xcmplx_0(A)) ) ).
fof(cc3_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v2_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc40_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k2_numbers)) ) ) ) ) ).
fof(cc41_valued_0, axiom,  (! [A] :  (v1_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v1_valued_0(B)) ) ) ) ) ).
fof(cc42_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k6_numbers)) ) ) ) ) ).
fof(cc43_valued_0, axiom,  (! [A] :  (v2_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v2_valued_0(B)) ) ) ) ) ).
fof(cc44_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k1_numbers)) ) ) ) ) ).
fof(cc45_valued_0, axiom,  (! [A] :  (v3_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v3_valued_0(B)) ) ) ) ) ).
fof(cc46_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k3_numbers)) ) ) ) ) ).
fof(cc47_valued_0, axiom,  (! [A] :  (v4_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v4_valued_0(B)) ) ) ) ) ).
fof(cc48_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_numbers)) ) ) ) ) ).
fof(cc49_valued_0, axiom,  (! [A] :  (v5_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_valued_0(B)) ) ) ) ) ).
fof(cc4_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k1_numbers) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v3_valued_0(A)) ) ) ) ) ) ) ).
fof(cc4_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_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_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_funcop_1(A)) ) ) ) ).
fof(cc4_relset_1, axiom,  (! [A, B] :  (v1_xboole_0(A) =>  (! [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(B, A))) => v1_xboole_0(C)) ) ) ) ).
fof(cc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc4_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => v1_xxreal_0(A)) ) ).
fof(cc4_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v3_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ) ).
fof(cc50_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v5_relat_1(B, k4_ordinal1)) ) ) ) ) ).
fof(cc51_valued_0, axiom,  (! [A] :  (v6_membered(A) =>  (! [B] :  ( (v1_relat_1(B) & v5_relat_1(B, A))  =>  (v1_relat_1(B) & v6_valued_0(B)) ) ) ) ) ).
fof(cc5_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v6_valued_0(A)) ) ) ) ) ) ) ).
fof(cc5_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_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) ) ) ) ).
fof(cc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v2_valued_0(A)) ) ) ).
fof(cc5_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) & v3_xxreal_0(A))  =>  ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) ) ) ) ).
fof(cc6_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_xboole_0(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v1_afinsq_1(A)) ) ) ) ).
fof(cc6_nat_1, axiom,  (! [A] :  ( ~ (v8_ordinal1(A))  =>  ~ (v1_xboole_0(A)) ) ) ).
fof(cc6_ordinal1, axiom,  (! [A] :  (v7_ordinal1(A) => v3_ordinal1(A)) ) ).
fof(cc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(A) & v1_valued_0(A)) ) ) ).
fof(cc6_xxreal_0, axiom,  (! [A] :  ( ( ~ (v8_ordinal1(A))  &  (v1_xxreal_0(A) &  ~ (v2_xxreal_0(A)) ) )  =>  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ) ).
fof(cc7_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) ) ).
fof(cc7_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v7_ordinal1(A)) ) ).
fof(cc7_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finset_1(A)) )  =>  (v1_relat_1(A) &  (v1_funct_1(A) & v2_pre_poly(A)) ) ) ) ).
fof(cc7_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v4_valued_0(A)) ) ) ).
fof(cc7_xxreal_0, axiom,  (! [A] :  ( (v8_ordinal1(A) & v1_xxreal_0(A))  =>  (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) ) ) ) ).
fof(cc8_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) ) ) ) ) ).
fof(cc8_ordinal1, axiom,  (! [A] :  (m1_subset_1(A, k4_ordinal1) => v7_ordinal1(A)) ) ).
fof(cc8_pre_poly, axiom,  (! [A] :  (v1_finset_1(A) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  =>  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v2_pre_poly(B)) ) ) ) ) ) ) ) ).
fof(cc8_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(A) & v3_valued_0(A)) ) ) ).
fof(cc8_xxreal_0, axiom,  (! [A] :  ( (v1_xxreal_0(A) &  ( ~ (v2_xxreal_0(A))  &  ~ (v3_xxreal_0(A)) ) )  =>  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ) ).
fof(cc9_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) )  =>  (v1_relat_1(A) &  (v5_ordinal1(A) & v1_funct_1(A)) ) ) ) ).
fof(cc9_ordinal1, axiom,  (! [A] :  (v1_xboole_0(A) => v6_ordinal1(A)) ) ).
fof(cc9_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_xboole_0(A))  =>  (v1_relat_1(A) & v6_valued_0(A)) ) ) ).
fof(commutativity_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k1_nat_1(B, A)) ) ).
fof(commutativity_k2_xcmplx_0, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, B)=k2_xcmplx_0(B, A)) ) ).
fof(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(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(d10_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) => k7_memstr_0(A, B, C)=k17_funcop_1(k4_struct_0(B), C)) ) ) ) ) ) ).
fof(d11_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  (v7_ordinal1(C) =>  (! [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))) ) )  =>  (v5_memstr_0(D, A, B, C) <=>  (r2_tarski(k4_struct_0(B), k9_xtuple_0(D)) & k5_memstr_0(A, B, D)=C) ) ) ) ) ) ) ) ) ) ).
fof(d13_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k8_memstr_0(A, B, C)=k1_funct_4(C, k7_memstr_0(A, B, k5_numbers))) ) ) ) ) ) ).
fof(d16_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => k4_compos_1(A)=k3_afinsq_1(k2_compos_1(A))) ) ).
fof(d1_scmpds_2, axiom, k1_scmpds_2=g1_extpro_1(k5_card_1(2), k1_ami_2, k10_subset_1(k4_ordinal1, k1_ami_2), k1_scmpds_i, k3_ami_2, k4_ami_2, k6_scmpds_1)).
fof(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(d2_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  =>  (! [C] :  (m1_subset_1(C, u1_compos_1(B)) =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k2_extpro_1(A, B, C, D)=k1_funct_1(k3_funct_2(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))), u1_extpro_1(A, B), C), D)) ) ) ) ) ) ) ) ).
fof(d2_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) => k2_memstr_0(A, B)=k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))) ) ) ) ).
fof(d3_scmpds_2, axiom,  (! [A] :  (v1_int_1(A) =>  (! [B] :  (v1_int_1(B) => k2_scmpds_2(A, B)=k4_tarski(1, k1_int_2(k2_xcmplx_0(A, B)))) ) ) ) ).
fof(d3_scmpds_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_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, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(B, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (r2_scmpds_6(A, B, C) <=> r1_extpro_1(k5_card_1(2), k1_scmpds_2, k1_funct_4(C, k10_compos_1(k1_scmpds_2, A)), k8_memstr_0(k5_card_1(2), k1_scmpds_2, B))) ) ) ) ) ) ) ).
fof(d4_scmpds_2, axiom,  (! [A] :  (v1_int_1(A) => k3_scmpds_2(A)=k3_xtuple_0(14, k1_xboole_0, k9_finseq_1(A))) ) ).
fof(d5_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  => k3_extpro_1(A, B, C, D)=k7_partfun1(u1_compos_1(B), C, k5_memstr_0(A, B, D))) ) ) ) ) ) ) ) ).
fof(d5_scmpds_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_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, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(B, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  => k6_scmpds_4(A, B, C)=k6_extpro_1(k5_card_1(2), k1_scmpds_2, k1_funct_4(C, k10_compos_1(k1_scmpds_2, A)), B)) ) ) ) ) ) ).
fof(d6_extpro_1, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(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)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v5_relat_1(D, u1_compos_1(B)) & v1_funct_1(D)) )  => k4_extpro_1(A, B, C, D)=k2_extpro_1(A, B, k3_extpro_1(A, B, D, C), C)) ) ) ) ) ) ) ) ).
fof(d7_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k5_memstr_0(A, B, C)=k1_funct_1(C, k4_struct_0(B))) ) ) ) ) ) ).
fof(d8_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  (l1_memstr_0(B, A) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) )  => k6_memstr_0(A, B, C)=k5_relat_1(C, k8_struct_0(B))) ) ) ) ) ) ).
fof(d9_scmpds_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) => k8_scmpds_2(A, B, C)=k3_xtuple_0(5, k1_xboole_0, k11_finseq_1(A, B, C))) ) ) ) ) ) ).
fof(dt_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (v1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A) & l1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A)) ) ) ).
fof(dt_k10_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_finseq_1, axiom, $true).
fof(dt_k17_funcop_1, axiom, $true).
fof(dt_k17_scmpds_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  & v1_int_1(B))  => m1_subset_1(k17_scmpds_2(A, B), k4_ordinal1)) ) ).
fof(dt_k1_ami_2, axiom, $true).
fof(dt_k1_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_int_2, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k1_int_2(A), k4_ordinal1)) ) ).
fof(dt_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => m1_subset_1(k1_nat_1(A, B), k4_ordinal1)) ) ).
fof(dt_k1_numbers, axiom, $true).
fof(dt_k1_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_scmpds_2, axiom,  (v1_extpro_1(k1_scmpds_2, k5_card_1(2)) & l1_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
fof(dt_k1_scmpds_i, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_compos_1, axiom,  (! [A] :  (l1_compos_1(A) => m1_subset_1(k2_compos_1(A), u1_compos_1(A))) ) ).
fof(dt_k2_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( (v2_memstr_0(B, A) & l1_extpro_1(B, A))  &  (m1_subset_1(C, u1_compos_1(B)) &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  =>  (v1_relat_1(k2_extpro_1(A, B, C, D)) &  (v4_relat_1(k2_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k2_extpro_1(A, B, C, D)) &  (v5_funct_1(k2_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k2_extpro_1(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k2_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_scmpds_2, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  =>  (v1_ami_2(k2_scmpds_2(A, B)) & m1_subset_1(k2_scmpds_2(A, B), u1_struct_0(k1_scmpds_2))) ) ) ).
fof(dt_k2_scmpds_4, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_compos_1(k1_scmpds_2)) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) )  =>  (v1_relat_1(k2_scmpds_4(A, B)) &  (v4_relat_1(k2_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k2_scmpds_4(A, B)))  &  (v1_funct_1(k2_scmpds_4(A, B)) &  (v1_finset_1(k2_scmpds_4(A, B)) & v1_afinsq_1(k2_scmpds_4(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k2_scmpds_8, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) &  ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) ) ) )  =>  ( ~ (v1_xboole_0(k2_scmpds_8(A, B, C)))  &  (v1_relat_1(k2_scmpds_8(A, B, C)) &  (v4_relat_1(k2_scmpds_8(A, B, C), k4_ordinal1) &  (v5_relat_1(k2_scmpds_8(A, B, C), u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(k2_scmpds_8(A, B, C)) &  (v1_finset_1(k2_scmpds_8(A, B, C)) & v1_afinsq_1(k2_scmpds_8(A, B, C))) ) ) ) ) ) ) ) ).
fof(dt_k2_xcmplx_0, axiom, $true).
fof(dt_k2_zfmisc_1, axiom, $true).
fof(dt_k3_afinsq_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_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_partfun1(B, k4_ordinal1)) ) ) )  & v7_ordinal1(C)) )  => m1_subset_1(k3_compos_1(A, B, C), u1_compos_1(A))) ) ).
fof(dt_k3_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) )  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  => m1_subset_1(k3_extpro_1(A, B, C, D), u1_compos_1(B))) ) ).
fof(dt_k3_funct_2, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_xboole_0(A))  &  ( (v1_funct_1(C) &  (v1_funct_2(C, A, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B)))) )  & m1_subset_1(D, A)) )  => m1_subset_1(k3_funct_2(A, B, C, D), B)) ) ).
fof(dt_k3_numbers, axiom, $true).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
fof(dt_k3_scmpds_2, axiom,  (! [A] :  (v1_int_1(A) => m1_subset_1(k3_scmpds_2(A), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k3_scmpds_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_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_scmpds_2)))  =>  (v1_relat_1(k3_scmpds_4(A, B)) &  (v4_relat_1(k3_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k3_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k3_scmpds_4(A, B)))  &  (v1_funct_1(k3_scmpds_4(A, B)) &  (v1_finset_1(k3_scmpds_4(A, B)) & v1_afinsq_1(k3_scmpds_4(A, B))) ) ) ) ) ) ) ) ).
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_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_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  &  (v1_relat_1(D) &  (v5_relat_1(D, u1_compos_1(B)) & v1_funct_1(D)) ) ) ) )  =>  (v1_relat_1(k4_extpro_1(A, B, C, D)) &  (v4_relat_1(k4_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k4_extpro_1(A, B, C, D)) &  (v5_funct_1(k4_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k4_extpro_1(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k4_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(k4_struct_0(A), u1_struct_0(A))) ) ).
fof(dt_k4_tarski, axiom, $true).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k5_card_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k5_extpro_1, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  & v7_ordinal1(E)) ) ) )  =>  (v1_relat_1(k5_extpro_1(A, B, C, D, E)) &  (v4_relat_1(k5_extpro_1(A, B, C, D, E), u1_struct_0(B)) &  (v1_funct_1(k5_extpro_1(A, B, C, D, E)) &  (v5_funct_1(k5_extpro_1(A, B, C, D, E), k2_memstr_0(A, B)) & v1_partfun1(k5_extpro_1(A, B, C, D, E), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k5_finseq_1, axiom, $true).
fof(dt_k5_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  => m1_subset_1(k5_memstr_0(A, B, C), k4_ordinal1)) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k5_relat_1, axiom,  (! [A, B] :  (v1_relat_1(A) => v1_relat_1(k5_relat_1(A, B))) ) ).
fof(dt_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_k6_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  =>  (v1_relat_1(k6_extpro_1(A, B, C, D)) &  (v4_relat_1(k6_extpro_1(A, B, C, D), u1_struct_0(B)) &  (v1_funct_1(k6_extpro_1(A, B, C, D)) &  (v5_funct_1(k6_extpro_1(A, B, C, D), k2_memstr_0(A, B)) & v1_partfun1(k6_extpro_1(A, B, C, D), u1_struct_0(B))) ) ) ) ) ) ).
fof(dt_k6_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, B, C)) &  (v4_relat_1(k6_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k6_memstr_0(A, B, C)) & v5_funct_1(k6_memstr_0(A, B, C), k2_memstr_0(A, B))) ) ) ) ) ).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_ordinal1, axiom, $true).
fof(dt_k6_scmpds_1, axiom,  (v1_funct_1(k6_scmpds_1) &  (v1_funct_2(k6_scmpds_1, k1_scmpds_i, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) & m1_subset_1(k6_scmpds_1, k1_zfmisc_1(k2_zfmisc_1(k1_scmpds_i, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))))))) ) ).
fof(dt_k6_scmpds_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_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_scmpds_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(B, u1_struct_0(k1_scmpds_2))) ) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) ) ) )  =>  (v1_relat_1(k6_scmpds_4(A, B, C)) &  (v4_relat_1(k6_scmpds_4(A, B, C), u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(k6_scmpds_4(A, B, C)) &  (v5_funct_1(k6_scmpds_4(A, B, C), k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(k6_scmpds_4(A, B, C), u1_struct_0(k1_scmpds_2))) ) ) ) ) ) ).
fof(dt_k6_xcmplx_0, axiom, $true).
fof(dt_k7_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k7_memstr_0(A, B, C)) &  (v4_relat_1(k7_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k7_memstr_0(A, B, C)) & v5_funct_1(k7_memstr_0(A, B, C), k2_memstr_0(A, B))) ) ) ) ) ).
fof(dt_k7_partfun1, axiom,  (! [A, B, C] :  ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  => m1_subset_1(k7_partfun1(A, B, C), A)) ) ).
fof(dt_k8_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  => v7_ordinal1(k8_extpro_1(A, B, C, D))) ) ).
fof(dt_k8_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) & v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B))) ) ) ) ) ).
fof(dt_k8_scmpds_2, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) & v1_int_1(C)) )  => m1_subset_1(k8_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k8_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(k8_struct_0(A), k1_zfmisc_1(u1_struct_0(A)))) ) ).
fof(dt_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xreal_0(k9_complex1(A))) ) ).
fof(dt_k9_compos_0, axiom,  (! [A] :  (v5_compos_0(A) => m1_subset_1(k9_compos_0(A), A)) ) ).
fof(dt_k9_finseq_1, axiom,  (! [A] :  (v1_relat_1(k9_finseq_1(A)) & v1_funct_1(k9_finseq_1(A))) ) ).
fof(dt_k9_xtuple_0, axiom, $true).
fof(dt_l1_compos_1, axiom, $true).
fof(dt_l1_extpro_1, axiom,  (! [A] :  (! [B] :  (l1_extpro_1(B, A) =>  (l1_memstr_0(B, A) & l1_compos_1(B)) ) ) ) ).
fof(dt_l1_memstr_0, axiom,  (! [A] :  (! [B] :  (l1_memstr_0(B, A) => l2_struct_0(B)) ) ) ).
fof(dt_l1_struct_0, axiom, $true).
fof(dt_l2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => l1_struct_0(A)) ) ).
fof(dt_m1_subset_1, axiom, $true).
fof(dt_u1_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (v1_compos_0(u1_compos_1(A)) &  (v2_compos_0(u1_compos_1(A)) &  (v3_compos_0(u1_compos_1(A)) & v5_compos_0(u1_compos_1(A))) ) ) ) ) ).
fof(dt_u1_extpro_1, axiom,  (! [A, B] :  (l1_extpro_1(B, A) =>  (v1_funct_1(u1_extpro_1(A, B)) &  (v1_funct_2(u1_extpro_1(A, B), u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))))) & m1_subset_1(u1_extpro_1(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_compos_1(B), k1_funct_2(k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B))), k4_card_3(k3_relat_1(u1_memstr_0(A, B), u2_memstr_0(A, B)))))))) ) ) ) ).
fof(dt_u1_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_funct_1(u1_memstr_0(A, B)) &  (v1_funct_2(u1_memstr_0(A, B), u1_struct_0(B), A) & m1_subset_1(u1_memstr_0(A, B), k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(B), A)))) ) ) ) ).
fof(dt_u1_struct_0, axiom, $true).
fof(dt_u2_memstr_0, axiom,  (! [A, B] :  (l1_memstr_0(B, A) =>  (v1_relat_1(u2_memstr_0(A, B)) &  (v4_relat_1(u2_memstr_0(A, B), A) &  (v1_funct_1(u2_memstr_0(A, B)) & v1_partfun1(u2_memstr_0(A, B), A)) ) ) ) ) ).
fof(dt_u2_struct_0, axiom,  (! [A] :  (l2_struct_0(A) => m1_subset_1(u2_struct_0(A), u1_struct_0(A))) ) ).
fof(existence_l1_compos_1, axiom,  (? [A] : l1_compos_1(A)) ).
fof(existence_l1_extpro_1, axiom,  (! [A] :  (? [B] : l1_extpro_1(B, A)) ) ).
fof(existence_l1_memstr_0, axiom,  (! [A] :  (? [B] : l1_memstr_0(B, A)) ) ).
fof(existence_l1_struct_0, axiom,  (? [A] : l1_struct_0(A)) ).
fof(existence_l2_struct_0, axiom,  (? [A] : l2_struct_0(A)) ).
fof(existence_m1_subset_1, axiom,  (! [A] :  (? [B] : m1_subset_1(B, A)) ) ).
fof(fc100_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v7_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc101_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v10_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc102_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v8_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc103_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) )  =>  (v1_relat_1(k5_relat_1(A, B)) & v9_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc10_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) & v1_partfun1(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(C, B)) &  (v4_relat_1(k1_funct_4(C, B), A) &  (v1_funct_1(k1_funct_4(C, B)) & v1_partfun1(k1_funct_4(C, B), A)) ) ) ) ) ).
fof(fc10_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  & v7_ordinal1(C)) )  =>  ( ~ (v1_xboole_0(k7_memstr_0(A, B, C)))  &  (v1_relat_1(k7_memstr_0(A, B, C)) &  (v4_relat_1(k7_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k7_memstr_0(A, B, C)) &  (v5_funct_1(k7_memstr_0(A, B, C), k2_memstr_0(A, B)) & v5_memstr_0(k7_memstr_0(A, B, C), A, B, C)) ) ) ) ) ) ) ).
fof(fc10_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) & v9_ordinal1(A))  =>  ~ (v10_ordinal1(k10_xtuple_0(A))) ) ) ).
fof(fc10_relset_1, axiom,  (! [A, B] :  ( ( ( ~ (v1_xboole_0(A))  & v1_relat_1(A))  &  ( ~ (v1_xboole_0(B))  & m1_subset_1(B, k1_zfmisc_1(k9_xtuple_0(A)))) )  =>  ( ~ (v1_xboole_0(k5_relat_1(A, B)))  & v1_relat_1(k5_relat_1(A, B))) ) ) ).
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_funct_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) & v1_funct_1(B)) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) & v1_funct_1(C)) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v5_relat_1(k1_funct_4(B, C), A) & v1_funct_1(k1_funct_4(B, C))) ) ) ) ).
fof(fc11_memstr_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v7_ordinal1(C) &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) & v5_funct_1(D, k2_memstr_0(A, B))) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v5_memstr_0(E, A, B, C)) ) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(D, E)) &  (v1_funct_1(k1_funct_4(D, E)) & v5_memstr_0(k1_funct_4(D, E), A, B, C)) ) ) ) ).
fof(fc11_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  ~ (v9_ordinal1(A)) )  => v10_ordinal1(k10_xtuple_0(A))) ) ).
fof(fc11_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc12_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_4, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  ( (v1_relat_1(B) &  (v1_funct_1(B) & v5_funct_1(B, A)) )  &  (v1_relat_1(C) &  (v1_funct_1(C) & v5_funct_1(C, A)) ) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v1_funct_1(k1_funct_4(B, C)) & v5_funct_1(k1_funct_4(B, C), A)) ) ) ) ).
fof(fc12_memstr_0, axiom,  (! [A, B, C, D, E] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v7_ordinal1(C) &  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v5_memstr_0(D, A, B, C)) ) ) )  &  (v1_relat_1(E) &  (v4_relat_1(E, u1_struct_0(B)) &  (v1_funct_1(E) &  (v5_funct_1(E, k2_memstr_0(A, B)) & v4_memstr_0(E, A, B)) ) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(D, E)) &  (v1_funct_1(k1_funct_4(D, E)) & v5_memstr_0(k1_funct_4(D, E), A, B, C)) ) ) ) ).
fof(fc12_ordinal1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v9_ordinal1(A))  & v1_relat_1(B))  =>  (v1_relat_1(k3_relat_1(B, A)) & v9_ordinal1(k3_relat_1(B, A))) ) ) ).
fof(fc12_xreal_0, axiom,  (! [A, B] :  ( ( (v2_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  => v2_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc13_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) &  (v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B)) & v5_memstr_0(k8_memstr_0(A, B, C), A, B, k5_numbers)) ) ) ) ) ) ).
fof(fc13_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(A))) ) ).
fof(fc13_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_afinsq_1, axiom,  (! [A] : v3_card_1(k3_afinsq_1(A), 1)) ).
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_funct_4, axiom,  (! [A, B] : v1_zfmisc_1(k17_funcop_1(A, B))) ).
fof(fc14_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) &  (v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_partfun1(k8_memstr_0(A, B, C), u1_struct_0(B))) ) ) ) ) ) ).
fof(fc14_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k6_ordinal1(A))) ) ).
fof(fc14_pre_poly, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_finseq_1(A)) )  => v1_pre_poly(k5_finseq_1(A))) ) ).
fof(fc14_scmpds_4, axiom,  (v1_relat_1(k4_compos_1(k1_scmpds_2)) &  (v4_relat_1(k4_compos_1(k1_scmpds_2), k4_ordinal1) &  (v5_relat_1(k4_compos_1(k1_scmpds_2), u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(k4_compos_1(k1_scmpds_2)) &  (v1_finset_1(k4_compos_1(k1_scmpds_2)) &  (v2_scmpds_4(k4_compos_1(k1_scmpds_2)) & v3_scmpds_4(k4_compos_1(k1_scmpds_2))) ) ) ) ) ) ).
fof(fc14_scmpds_5, axiom, v1_scmpds_5(k2_compos_1(k1_scmpds_2))).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_compos_1, axiom,  (! [A, B, C] :  ( (l1_compos_1(A) &  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) & v1_funct_1(B)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(A)) &  (v1_funct_1(C) &  ~ (v2_compos_1(C, A)) ) ) ) ) ) )  =>  (v1_relat_1(k1_funct_4(B, C)) &  (v1_funct_1(k1_funct_4(B, C)) &  ~ (v2_compos_1(k1_funct_4(B, C), A)) ) ) ) ) ).
fof(fc15_scmpds_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v3_scmpds_4(A)) ) ) ) ) ) )  =>  (v1_relat_1(k10_compos_1(k1_scmpds_2, A)) &  (v4_relat_1(k10_compos_1(k1_scmpds_2, A), k4_ordinal1) &  (v5_relat_1(k10_compos_1(k1_scmpds_2, A), u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(k10_compos_1(k1_scmpds_2, A)) &  (v1_finset_1(k10_compos_1(k1_scmpds_2, A)) & v3_scmpds_4(k10_compos_1(k1_scmpds_2, A))) ) ) ) ) ) ) ).
fof(fc15_scmpds_5, axiom,  (! [A] :  ( (v1_scmpds_5(A) & m1_subset_1(A, u1_compos_1(k1_scmpds_2)))  =>  (v1_relat_1(k3_afinsq_1(A)) &  (v4_relat_1(k3_afinsq_1(A), k4_ordinal1) &  (v5_relat_1(k3_afinsq_1(A), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k3_afinsq_1(A)))  &  (v1_funct_1(k3_afinsq_1(A)) &  (v1_finset_1(k3_afinsq_1(A)) &  (v1_afinsq_1(k3_afinsq_1(A)) & v2_scmpds_4(k3_afinsq_1(A))) ) ) ) ) ) ) ) ) ).
fof(fc15_xreal_0, axiom,  (! [A] :  ( ( ~ (v2_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v3_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc16_scmpds_4, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_relat_1(k3_afinsq_1(k3_scmpds_2(A))) &  (v4_relat_1(k3_afinsq_1(k3_scmpds_2(A)), k4_ordinal1) &  (v5_relat_1(k3_afinsq_1(k3_scmpds_2(A)), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k3_afinsq_1(k3_scmpds_2(A))))  &  (v1_funct_1(k3_afinsq_1(k3_scmpds_2(A))) &  (v1_finset_1(k3_afinsq_1(k3_scmpds_2(A))) &  (v1_afinsq_1(k3_afinsq_1(k3_scmpds_2(A))) & v3_scmpds_4(k3_afinsq_1(k3_scmpds_2(A)))) ) ) ) ) ) ) ) ) ).
fof(fc16_xreal_0, axiom,  (! [A] :  ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  =>  (v1_xcmplx_0(k4_xcmplx_0(A)) &  ~ (v2_xxreal_0(k4_xcmplx_0(A))) ) ) ) ).
fof(fc17_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_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_afinsq_1, axiom,  (! [A, B] :  ( ( ~ (v1_xboole_0(A))  & m1_subset_1(B, A))  => v5_relat_1(k3_afinsq_1(B), A)) ) ).
fof(fc18_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  & v7_ordinal1(C)) )  =>  (v1_relat_1(k7_memstr_0(A, B, C)) &  (v4_relat_1(k7_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k7_memstr_0(A, B, C)) &  (v5_funct_1(k7_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_finset_1(k7_memstr_0(A, B, C))) ) ) ) ) ) ).
fof(fc18_scmpds_4, axiom,  (! [A, B, C] :  ( (v1_int_1(A) &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  & v7_ordinal1(C)) )  =>  (v1_relat_1(k3_afinsq_1(k8_scmpds_2(B, A, C))) &  (v4_relat_1(k3_afinsq_1(k8_scmpds_2(B, A, C)), k4_ordinal1) &  (v5_relat_1(k3_afinsq_1(k8_scmpds_2(B, A, C)), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k3_afinsq_1(k8_scmpds_2(B, A, C))))  &  (v1_funct_1(k3_afinsq_1(k8_scmpds_2(B, A, C))) &  (v1_finset_1(k3_afinsq_1(k8_scmpds_2(B, A, C))) &  (v1_afinsq_1(k3_afinsq_1(k8_scmpds_2(B, A, C))) & v3_scmpds_4(k3_afinsq_1(k8_scmpds_2(B, A, C)))) ) ) ) ) ) ) ) ) ).
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_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_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_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => v7_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc1_ami_3, axiom,  (! [A] :  ( (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) )  =>  ~ (v1_setfam_1(k6_ordinal1(A))) ) ) ).
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_funct_7, axiom,  (! [A, B] :  ~ (v1_xboole_0(k17_funcop_1(A, B))) ) ).
fof(fc1_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc1_scmpds_2, axiom,  ( ~ (v2_struct_0(k1_scmpds_2))  & v1_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
fof(fc1_scmpds_6, axiom,  (! [A] :  (v7_ordinal1(A) => v6_compos_0(k3_scmpds_2(k1_nat_1(A, 1)), u1_compos_1(k1_scmpds_2))) ) ).
fof(fc1_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_valued_0(A))  => v1_membered(k10_xtuple_0(A))) ) ).
fof(fc20_compos_0, axiom,  (! [A] :  ( (v1_compos_0(A) & v5_compos_0(A))  => v4_compos_0(k9_compos_0(A), A)) ) ).
fof(fc20_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_finset_1(C)) ) ) ) ) )  =>  (v1_relat_1(k8_memstr_0(A, B, C)) &  (v4_relat_1(k8_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k8_memstr_0(A, B, C)) &  (v5_funct_1(k8_memstr_0(A, B, C), k2_memstr_0(A, B)) & v1_finset_1(k8_memstr_0(A, B, C))) ) ) ) ) ) ).
fof(fc20_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_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_scmpds_5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v2_compos_1(A, k1_scmpds_2)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v2_compos_1(B, k1_scmpds_2)) ) ) ) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v5_ordinal1(k1_ordinal4(A, B)) &  (v1_funct_1(k1_ordinal4(A, B)) & v2_compos_1(k1_ordinal4(A, B), k1_scmpds_2)) ) ) ) ) ).
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_scmpds_5, axiom,  (! [A] :  ( (v6_compos_0(A, u1_compos_1(k1_scmpds_2)) & m1_subset_1(A, u1_compos_1(k1_scmpds_2)))  => v2_compos_1(k3_afinsq_1(A), k1_scmpds_2)) ) ).
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_scmpds_5, axiom,  (! [A, B] :  ( ( (v6_compos_0(A, u1_compos_1(k1_scmpds_2)) & m1_subset_1(A, u1_compos_1(k1_scmpds_2)))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v2_compos_1(B, k1_scmpds_2)) ) ) ) ) ) ) )  =>  (v1_relat_1(k2_scmpds_4(A, B)) &  (v4_relat_1(k2_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k2_scmpds_4(A, B)))  &  (v1_funct_1(k2_scmpds_4(A, B)) &  (v1_finset_1(k2_scmpds_4(A, B)) &  (v1_afinsq_1(k2_scmpds_4(A, B)) & v2_compos_1(k2_scmpds_4(A, B), k1_scmpds_2)) ) ) ) ) ) ) ) ) ).
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(fc27_scmpds_5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v2_compos_1(A, k1_scmpds_2)) ) ) ) ) ) )  &  (v6_compos_0(B, u1_compos_1(k1_scmpds_2)) & m1_subset_1(B, u1_compos_1(k1_scmpds_2))) )  =>  (v1_relat_1(k3_scmpds_4(A, B)) &  (v4_relat_1(k3_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k3_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k3_scmpds_4(A, B)))  &  (v1_funct_1(k3_scmpds_4(A, B)) &  (v1_finset_1(k3_scmpds_4(A, B)) &  (v1_afinsq_1(k3_scmpds_4(A, B)) & v2_compos_1(k3_scmpds_4(A, B), k1_scmpds_2)) ) ) ) ) ) ) ) ) ).
fof(fc29_scmpds_5, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v2_scmpds_4(A)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v2_scmpds_4(B) & v3_scmpds_4(B)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v4_relat_1(k1_ordinal4(A, B), k4_ordinal1) &  (v5_relat_1(k1_ordinal4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k1_ordinal4(A, B)))  &  (v1_funct_1(k1_ordinal4(A, B)) &  (v1_finset_1(k1_ordinal4(A, B)) &  (v1_afinsq_1(k1_ordinal4(A, B)) & v2_scmpds_4(k1_ordinal4(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc2_afinsq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  & v7_ordinal1(B))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_finset_1(k5_relat_1(A, B))) ) ) ).
fof(fc2_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_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => v1_int_1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & v7_ordinal1(B))  => v7_ordinal1(k3_xcmplx_0(A, B))) ) ).
fof(fc2_scmpds_2, axiom,  (v2_memstr_0(k1_scmpds_2, k5_card_1(2)) &  (v3_memstr_0(k1_scmpds_2, k5_card_1(2)) & v1_extpro_1(k1_scmpds_2, k5_card_1(2))) ) ).
fof(fc2_scmpds_6, axiom,  (! [A] :  (v7_ordinal1(A) => v6_compos_0(k3_scmpds_2(k4_xcmplx_0(k1_nat_1(A, 1))), u1_compos_1(k1_scmpds_2))) ) ).
fof(fc2_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v2_valued_0(A))  => v2_membered(k10_xtuple_0(A))) ) ).
fof(fc30_scmpds_5, axiom,  (! [A, B] :  ( ( (v1_scmpds_5(A) & m1_subset_1(A, u1_compos_1(k1_scmpds_2)))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  (v2_scmpds_4(B) & v3_scmpds_4(B)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k2_scmpds_4(A, B)) &  (v4_relat_1(k2_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k2_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k2_scmpds_4(A, B)))  &  (v1_funct_1(k2_scmpds_4(A, B)) &  (v1_finset_1(k2_scmpds_4(A, B)) &  (v1_afinsq_1(k2_scmpds_4(A, B)) & v2_scmpds_4(k2_scmpds_4(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A))) ) ) ).
fof(fc3_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  &  (v2_memstr_0(B, A) & l1_memstr_0(B, A)) )  =>  (v1_relat_1(k2_memstr_0(A, B)) &  (v2_relat_1(k2_memstr_0(A, B)) &  (v4_relat_1(k2_memstr_0(A, B), u1_struct_0(B)) &  (v1_funct_1(k2_memstr_0(A, B)) & v1_partfun1(k2_memstr_0(A, B), u1_struct_0(B))) ) ) ) ) ) ).
fof(fc3_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(A, B))) ) ) ).
fof(fc3_scmpds_2, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  &  (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2))) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc3_scmpds_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v3_scmpds_4(A)) ) ) ) ) ) )  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  & v1_int_1(C)) )  =>  ( ~ (v1_xboole_0(k2_scmpds_8(B, C, A)))  &  (v1_relat_1(k2_scmpds_8(B, C, A)) &  (v4_relat_1(k2_scmpds_8(B, C, A), k4_ordinal1) &  (v5_relat_1(k2_scmpds_8(B, C, A), u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(k2_scmpds_8(B, C, A)) &  (v1_finset_1(k2_scmpds_8(B, C, A)) &  (v1_afinsq_1(k2_scmpds_8(B, C, A)) & v3_scmpds_4(k2_scmpds_8(B, C, A))) ) ) ) ) ) ) ) ) ).
fof(fc3_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v3_valued_0(A))  => v3_membered(k10_xtuple_0(A))) ) ).
fof(fc3_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A))) ) ) ).
fof(fc43_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v1_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v1_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc44_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v2_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v2_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc45_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v3_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v3_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc46_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v4_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v4_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc47_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v5_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v5_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc48_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) & v6_valued_0(A))  =>  (v1_relat_1(k5_relat_1(A, B)) & v6_valued_0(k5_relat_1(A, B))) ) ) ).
fof(fc4_afinsq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k3_afinsq_1(A))) ) ).
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_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  =>  ~ (v8_ordinal1(k2_xcmplx_0(B, A))) ) ) ).
fof(fc4_ordinal1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_ordinal1(A)) )  => v3_ordinal1(k9_xtuple_0(A))) ) ).
fof(fc4_scmpds_2, axiom,  (v1_extpro_1(k1_scmpds_2, k5_card_1(2)) & v3_extpro_1(k1_scmpds_2, k5_card_1(2))) ).
fof(fc4_scmpds_8, axiom,  (! [A, B, C] :  ( ( ( ~ (v1_xboole_0(A))  &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v2_compos_1(A, k1_scmpds_2)) ) ) ) ) ) )  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  & v1_int_1(C)) )  =>  ( ~ (v1_xboole_0(k2_scmpds_8(B, C, A)))  &  (v1_relat_1(k2_scmpds_8(B, C, A)) &  (v4_relat_1(k2_scmpds_8(B, C, A), k4_ordinal1) &  (v5_relat_1(k2_scmpds_8(B, C, A), u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(k2_scmpds_8(B, C, A)) &  (v1_finset_1(k2_scmpds_8(B, C, A)) &  (v1_afinsq_1(k2_scmpds_8(B, C, A)) & v2_compos_1(k2_scmpds_8(B, C, A), k1_scmpds_2)) ) ) ) ) ) ) ) ) ).
fof(fc4_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v4_valued_0(A))  => v4_membered(k10_xtuple_0(A))) ) ).
fof(fc55_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v1_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v1_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc56_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v2_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v2_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc57_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v3_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v3_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc58_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v4_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v4_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc59_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v5_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v5_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc5_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_scmpds_5, axiom,  (! [A, B, C] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) & v1_int_1(C)) )  => v6_compos_0(k8_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(fc5_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v5_valued_0(A))  => v5_membered(k10_xtuple_0(A))) ) ).
fof(fc5_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k2_xcmplx_0(A, B))) ) ).
fof(fc60_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_relat_1(B) & v6_valued_0(B)) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v6_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc61_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  => v1_xcmplx_0(k1_funct_1(A, B))) ) ).
fof(fc62_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  => v1_xxreal_0(k1_funct_1(A, B))) ) ).
fof(fc63_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  => v1_xreal_0(k1_funct_1(A, B))) ) ).
fof(fc64_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  => v1_rat_1(k1_funct_1(A, B))) ) ).
fof(fc65_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  => v1_int_1(k1_funct_1(A, B))) ) ).
fof(fc66_valued_0, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  => v7_ordinal1(k1_funct_1(A, B))) ) ).
fof(fc6_afinsq_1, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  &  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v5_ordinal1(k1_ordinal4(A, B)) &  (v1_funct_1(k1_ordinal4(A, B)) & v1_finset_1(k1_ordinal4(A, B))) ) ) ) ) ).
fof(fc6_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v2_relat_1(A) & v1_funct_1(A)) )  &  (v1_relat_1(B) &  (v2_relat_1(B) & v1_funct_1(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v2_relat_1(k1_funct_4(A, B)) & v1_funct_1(k1_funct_4(A, B))) ) ) ) ).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(1))).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
fof(fc6_valued_0, axiom,  (! [A] :  ( (v1_relat_1(A) & v6_valued_0(A))  => v6_membered(k10_xtuple_0(A))) ) ).
fof(fc6_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k3_xcmplx_0(A, B))) ) ).
fof(fc73_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v1_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc74_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v2_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v2_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v2_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc75_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v3_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v3_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v3_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc76_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v4_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v4_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v4_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc77_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v5_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v5_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v5_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc78_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) )  &  (v1_relat_1(B) &  (v1_funct_1(B) & v6_valued_0(B)) ) )  =>  (v1_relat_1(k1_funct_4(A, B)) &  (v1_funct_1(k1_funct_4(A, B)) & v6_valued_0(k1_funct_4(A, B))) ) ) ) ).
fof(fc79_valued_0, axiom,  (! [A, B] :  (v1_xcmplx_0(B) => v1_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc7_afinsq_1, axiom,  (! [A, B, C] :  ( ( (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) )  &  (v1_relat_1(C) &  (v5_relat_1(C, A) &  (v5_ordinal1(C) &  (v1_funct_1(C) & v1_finset_1(C)) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(B, C)) &  (v5_relat_1(k1_ordinal4(B, C), A) &  (v5_ordinal1(k1_ordinal4(B, C)) & v1_funct_1(k1_ordinal4(B, C))) ) ) ) ) ).
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_xreal_0, axiom,  (! [A, B] :  ( (v1_xreal_0(A) & v1_xreal_0(B))  => v1_xreal_0(k6_xcmplx_0(A, B))) ) ).
fof(fc80_valued_0, axiom,  (! [A, B] :  (v1_xxreal_0(B) => v2_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc81_valued_0, axiom,  (! [A, B] :  (v1_xreal_0(B) => v3_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc82_valued_0, axiom,  (! [A, B] :  (v1_rat_1(B) => v4_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc83_valued_0, axiom,  (! [A, B] :  (v1_int_1(B) => v5_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc84_valued_0, axiom,  (! [A, B] :  (v7_ordinal1(B) => v6_valued_0(k17_funcop_1(A, B))) ) ).
fof(fc85_valued_0, axiom,  (! [A, B] :  (v1_membered(B) => v1_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc86_valued_0, axiom,  (! [A, B] :  (v2_membered(B) => v2_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc87_valued_0, axiom,  (! [A, B] :  (v3_membered(B) => v3_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc88_valued_0, axiom,  (! [A, B] :  (v4_membered(B) => v4_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc89_valued_0, axiom,  (! [A, B] :  (v5_membered(B) => v5_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc8_afinsq_1, axiom,  (! [A] :  (v1_relat_1(k3_afinsq_1(A)) & v1_funct_1(k3_afinsq_1(A))) ) ).
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_funct_7, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  => v1_funct_7(k5_finseq_1(A))) ) ).
fof(fc8_int_1, axiom,  (! [A, B] :  ( (v2_int_1(A) &  (v7_ordinal1(B) &  ~ (v8_ordinal1(B)) ) )  => v7_ordinal1(k2_xcmplx_0(A, B))) ) ).
fof(fc8_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  (l1_memstr_0(B, A) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  =>  (v1_relat_1(k6_memstr_0(A, B, C)) &  (v4_relat_1(k6_memstr_0(A, B, C), u1_struct_0(B)) &  (v1_funct_1(k6_memstr_0(A, B, C)) &  (v5_funct_1(k6_memstr_0(A, B, C), k2_memstr_0(A, B)) & v4_memstr_0(k6_memstr_0(A, B, C), A, B)) ) ) ) ) ) ).
fof(fc8_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) &  (v4_relat_1(k3_relat_1(A, C), k4_ordinal1) &  (v5_relat_1(k3_relat_1(A, C), B) & v1_funct_1(k3_relat_1(A, C))) ) ) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_pre_poly, axiom,  (! [A, B] :  ( (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) )  => v1_finseq_1(k1_funct_1(A, B))) ) ).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc90_valued_0, axiom,  (! [A, B] :  (v6_membered(B) => v6_valued_0(k2_zfmisc_1(A, B))) ) ).
fof(fc91_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v7_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v7_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc92_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v9_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v9_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc93_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v8_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v7_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc94_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v10_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v9_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc95_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v8_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc96_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v8_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v7_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v8_valued_0(k3_relat_1(B, A))) ) ) ).
fof(fc97_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(A, B)) & v10_valued_0(k3_relat_1(A, B))) ) ) ).
fof(fc98_valued_0, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v1_funct_1(A) &  (v2_valued_0(A) & v10_valued_0(A)) ) )  &  (v1_relat_1(B) &  (v1_funct_1(B) &  (v2_valued_0(B) & v9_valued_0(B)) ) ) )  =>  (v1_relat_1(k3_relat_1(B, A)) & v10_valued_0(k3_relat_1(B, A))) ) ) ).
fof(fc9_afinsq_1, axiom,  (! [A] :  (v5_ordinal1(k3_afinsq_1(A)) & v1_finset_1(k3_afinsq_1(A))) ) ).
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_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(A, k2_zfmisc_1(B, C)))) => v1_relat_1(k10_xtuple_0(D))) ) ).
fof(fc9_scmpds_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) & v3_scmpds_4(A)) ) ) ) ) ) )  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) & v3_scmpds_4(B)) ) ) ) ) ) ) )  =>  (v1_relat_1(k1_ordinal4(A, B)) &  (v4_relat_1(k1_ordinal4(A, B), k4_ordinal1) &  (v5_relat_1(k1_ordinal4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k1_ordinal4(A, B)))  &  (v1_funct_1(k1_ordinal4(A, B)) &  (v1_finset_1(k1_ordinal4(A, B)) &  (v1_afinsq_1(k1_ordinal4(A, B)) & v3_scmpds_4(k1_ordinal4(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc9_xreal_0, axiom,  (! [A, B] :  ( ( ( ~ (v3_xxreal_0(A))  & v1_xreal_0(A))  &  ( ~ (v3_xxreal_0(B))  & v1_xreal_0(B)) )  =>  ~ (v3_xxreal_0(k2_xcmplx_0(A, B))) ) ) ).
fof(free_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (! [H, I, J, K, L, M, N] :  (g1_extpro_1(A, B, C, D, E, F, G)=g1_extpro_1(H, I, J, K, L, M, N) =>  (A=H &  (B=I &  (C=J &  (D=K &  (E=L &  (F=M & G=N) ) ) ) ) ) ) ) ) ) ).
fof(idempotence_k1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(A, A)=A) ) ).
fof(ie1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_card_1(A)=k9_xtuple_0(A)) ) ).
fof(ie2_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k9_xtuple_0(A)=k1_card_1(A)) ) ).
fof(involutiveness_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => k4_xcmplx_0(k4_xcmplx_0(A))=A) ) ).
fof(l2_scpqsort, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  => k2_scmpds_8(A, B, C)=k2_scmpds_4(k8_scmpds_2(A, B, k1_nat_1(k4_card_1(C), 2)), k3_scmpds_4(C, k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(C), 1)))))) ) ) ) ) ) ).
fof(l3_scpqsort, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(A))  &  (v1_funct_1(A) &  (v1_finset_1(A) & v1_afinsq_1(A)) ) ) ) ) )  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  =>  (! [C] :  (v1_int_1(C) => r1_tarski(k61_valued_1(A, 1), k2_scmpds_8(B, C, A))) ) ) ) ) ) ).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(k1_int_2(A))=k1_int_2(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(projectivity_k8_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) )  => k8_memstr_0(A, B, k8_memstr_0(A, B, C))=k8_memstr_0(A, B, C)) ) ).
fof(projectivity_k9_complex1, axiom,  (! [A] :  (v1_xcmplx_0(A) => k9_complex1(k9_complex1(A))=k9_complex1(A)) ) ).
fof(rc10_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  & v3_memstr_0(B, A)) ) ) ) ) ).
fof(rc10_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(rc12_pre_poly, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v6_valued_0(A) & v2_pre_poly(A)) ) ) ) ) ).
fof(rc13_ordinal1, axiom,  (? [A] :  (v1_relat_1(A) &  ~ (v9_ordinal1(A)) ) ) ).
fof(rc13_pre_poly, axiom,  (! [A] :  (? [B] :  (m1_subset_1(B, k1_zfmisc_1(k2_zfmisc_1(A, k4_ordinal1))) &  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v5_relat_1(B, k4_ordinal1) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v1_funct_2(B, A, k4_ordinal1) &  (v1_valued_0(B) &  (v2_valued_0(B) &  (v3_valued_0(B) &  (v4_valued_0(B) &  (v5_valued_0(B) &  (v6_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc14_pre_poly, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) &  (v6_valued_0(B) & v2_pre_poly(B)) ) ) ) ) ) ) ).
fof(rc1_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ).
fof(rc1_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_int_1, axiom,  (? [A] :  (v1_xxreal_0(A) &  (v1_xcmplx_0(A) &  (v1_xreal_0(A) & v1_int_1(A)) ) ) ) ).
fof(rc1_nat_1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc1_ordinal1, axiom,  (? [A] :  (v1_ordinal1(A) & v2_ordinal1(A)) ) ).
fof(rc1_relset_1, axiom,  (! [A, B] :  (? [C] :  (m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(A, B))) &  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, A) & v5_relat_1(C, B)) ) ) ) ) ) ).
fof(rc1_scmpds_2, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_scmpds_2)) & v1_ami_2(A)) ) ).
fof(rc1_valued_0, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v6_valued_0(A)) ) ) ).
fof(rc1_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc1_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc2_afinsq_1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_xboole_0(B) & v1_finset_1(B)) ) ) ) ) ) ) ).
fof(rc2_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_int_1, axiom,  (? [A] : v1_int_1(A)) ).
fof(rc2_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) & v8_ordinal1(A)) ) ).
fof(rc2_ordinal1, axiom,  (? [A] : v3_ordinal1(A)) ).
fof(rc2_scmpds_5, axiom,  (? [A] :  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(A))  &  (v5_ordinal1(A) &  (v1_funct_1(A) &  (v1_finset_1(A) &  (v1_afinsq_1(A) &  (v2_compos_1(A, k1_scmpds_2) &  (v2_scmpds_4(A) & v3_scmpds_4(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc2_xreal_0, axiom,  (? [A] : v1_xreal_0(A)) ).
fof(rc2_xxreal_0, axiom,  (? [A] : v1_xxreal_0(A)) ).
fof(rc3_afinsq_1, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  ( ~ (v1_xboole_0(B))  & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(rc3_compos_0, axiom,  (? [A] :  (v1_compos_0(A) & v5_compos_0(A)) ) ).
fof(rc3_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_zfmisc_1(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v1_finset_1(B) & v1_afinsq_1(B)) ) ) ) ) ) ) ) ) ) ).
fof(rc3_int_1, axiom,  (? [A] : v2_int_1(A)) ).
fof(rc3_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (? [B] :  (l1_memstr_0(B, A) & v2_memstr_0(B, A)) ) ) ) ).
fof(rc3_nat_1, axiom,  (? [A] :  (v7_ordinal1(A) &  ~ (v8_ordinal1(A)) ) ) ).
fof(rc3_ordinal1, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  &  (v1_ordinal1(A) &  (v2_ordinal1(A) & v3_ordinal1(A)) ) ) ) ).
fof(rc3_valued_0, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1))) &  (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, k4_ordinal1) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_partfun1(A, k4_ordinal1) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) &  (v1_valued_0(A) &  (v2_valued_0(A) &  (v3_valued_0(A) &  (v4_valued_0(A) &  (v5_valued_0(A) &  (v6_valued_0(A) & v7_valued_0(A)) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc3_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v2_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc3_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v2_xxreal_0(A)) ) ).
fof(rc4_afinsq_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (? [B] :  (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) &  (v1_finset_1(B) & v3_card_1(B, A)) ) ) ) ) ) ) ).
fof(rc4_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_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k1_zfmisc_1(k1_numbers)) &  ( ~ (v1_xboole_0(A))  & v3_ordinal1(A)) ) ) ).
fof(rc4_ordinal1, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v5_relat_1(B, A) &  (v1_funct_1(B) & v5_ordinal1(B)) ) ) ) ) ).
fof(rc4_xreal_0, axiom,  (? [A] :  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v3_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc4_xxreal_0, axiom,  (? [A] :  (v1_xxreal_0(A) & v3_xxreal_0(A)) ) ).
fof(rc5_afinsq_1, axiom,  (? [A] :  (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) &  ( ~ (v1_xboole_0(A))  &  (v1_finset_1(A) & v6_valued_0(A)) ) ) ) ) ) ).
fof(rc5_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_memstr_0, axiom,  (! [A, B] :  ( ( ~ (v1_setfam_1(A))  & l1_memstr_0(B, A))  =>  (? [C] :  (v1_xboole_0(C) &  (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) & v5_funct_1(C, k2_memstr_0(A, B))) ) ) ) ) ) ) ).
fof(rc5_nat_1, axiom,  (? [A] :  (m1_subset_1(A, k4_ordinal1) &  (v1_ordinal1(A) &  (v2_ordinal1(A) &  (v3_ordinal1(A) &  (v7_ordinal1(A) &  ( ~ (v8_ordinal1(A))  &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) &  (v1_xreal_0(A) &  (v1_finset_1(A) & v1_card_1(A)) ) ) ) ) ) ) ) ) ) ) ).
fof(rc5_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc5_xreal_0, axiom,  (? [A] :  (v8_ordinal1(A) &  (v1_xcmplx_0(A) &  (v1_xxreal_0(A) & v1_xreal_0(A)) ) ) ) ).
fof(rc5_xxreal_0, axiom,  (? [A] :  (v8_ordinal1(A) & v1_xxreal_0(A)) ) ).
fof(rc6_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_memstr_0, axiom,  (! [A, B, C] :  ( ( ~ (v1_setfam_1(A))  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  & v7_ordinal1(C)) )  =>  (? [D] :  ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) &  (v1_partfun1(D, u1_struct_0(B)) & v5_memstr_0(D, A, B, C)) ) ) ) ) ) ) ) ) ).
fof(rc6_ordinal1, axiom,  (? [A] : v7_ordinal1(A)) ).
fof(rc6_valued_0, axiom,  (! [A] :  (? [B] :  (v1_relat_1(B) &  (v4_relat_1(B, A) &  (v1_funct_1(B) &  (v1_partfun1(B, A) & v6_valued_0(B)) ) ) ) ) ) ).
fof(rc7_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  ( ~ (v1_xboole_0(B))  &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) &  (v5_ordinal1(B) &  (v1_finset_1(B) &  (v1_afinsq_1(B) &  ~ (v2_compos_1(B, A)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(rc7_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(rc7_pre_poly, axiom,  (? [A] :  (v1_relat_1(A) &  (v1_funct_1(A) & v1_pre_poly(A)) ) ) ).
fof(rc8_compos_1, axiom,  (! [A] :  (l1_compos_1(A) =>  (? [B] :  (v1_xboole_0(B) &  (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(A)) &  (v1_funct_1(B) & v1_finset_1(B)) ) ) ) ) ) ) ) ).
fof(rc8_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (? [B] :  (l1_extpro_1(B, A) &  ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v1_extpro_1(B, A) & v3_extpro_1(B, A)) ) ) ) ) ) ) ) ).
fof(rc8_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rc9_ordinal1, axiom,  (? [A] : v8_ordinal1(A)) ).
fof(rd1_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_ordinal4(A, k1_xboole_0)=A) ) ).
fof(rd1_extpro_1, axiom,  (! [A, B, C, D] :  ( ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  &  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  &  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  &  (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) ) ) ) )  => k5_extpro_1(A, B, C, D, k5_numbers)=D) ) ).
fof(rd1_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) &  (v1_funct_1(B) & v1_xboole_0(B)) ) )  => k1_funct_4(B, A)=A) ) ).
fof(rd1_nat_1, axiom,  (! [A] :  (v7_ordinal1(A) => k10_subset_1(A, k4_ordinal1)=A) ) ).
fof(rd1_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) => k10_subset_1(A, k1_numbers)=A) ) ).
fof(rd1_xxreal_0, axiom,  (! [A] :  (v1_xxreal_0(A) => k10_subset_1(A, k6_numbers)=A) ) ).
fof(rd2_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  => k1_ordinal4(k1_xboole_0, A)=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(rd2_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k6_numbers, k6_numbers))=k4_tarski(A, B)) ) ).
fof(rd3_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k5_relat_1(k1_funct_4(A, B), k9_xtuple_0(B))=B) ) ).
fof(rd4_funct_4, axiom,  (! [A, B] :  ( ( (v1_relat_1(A) & v1_funct_1(A))  &  (v1_relat_1(B) & v1_funct_1(B)) )  => k1_funct_4(k1_funct_4(A, B), B)=k1_funct_4(A, B)) ) ).
fof(rd5_int_1, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k4_numbers)=A) ) ).
fof(rd6_int_1, axiom,  (! [A, B] :  ( (v1_int_1(A) & v1_int_1(B))  => k10_subset_1(k4_tarski(A, B), k2_zfmisc_1(k4_numbers, k4_numbers))=k4_tarski(A, B)) ) ).
fof(redefinition_k1_int_2, axiom,  (! [A] :  (v1_int_1(A) => k1_int_2(A)=k9_complex1(A)) ) ).
fof(redefinition_k1_nat_1, axiom,  (! [A, B] :  ( (v7_ordinal1(A) & m1_subset_1(B, k4_ordinal1))  => k1_nat_1(A, B)=k2_xcmplx_0(A, B)) ) ).
fof(redefinition_k3_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_partfun1(B, k4_ordinal1)) ) ) )  & v7_ordinal1(C)) )  => k3_compos_1(A, B, C)=k1_funct_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_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(A)=k1_card_1(A)) ) ).
fof(redefinition_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => k5_card_1(A)=k6_ordinal1(A)) ) ).
fof(redefinition_k5_numbers, axiom, k5_numbers=k5_ordinal1).
fof(redefinition_k9_finseq_1, axiom,  (! [A] : k9_finseq_1(A)=k5_finseq_1(A)) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(redefinition_r6_pboole, 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_partfun1(C, A)) ) ) )  =>  (r6_pboole(A, B, C) <=> B=C) ) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(reflexivity_r1_xxreal_0, axiom,  (! [A, B] :  ( (v1_xxreal_0(A) & v1_xxreal_0(B))  => r1_xxreal_0(A, A)) ) ).
fof(reflexivity_r6_pboole, 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_partfun1(C, A)) ) ) )  => r6_pboole(A, B, B)) ) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_r0, axiom, r1_xxreal_0(0, 0)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r1, axiom, r1_xxreal_0(0, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r12, axiom, r1_xxreal_0(0, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r13, axiom, r1_xxreal_0(0, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r14, axiom, r1_xxreal_0(0, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r15, axiom, r1_xxreal_0(0, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r2, axiom, r1_xxreal_0(0, 2)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r3, axiom, r1_xxreal_0(0, 3)).
fof(rqLessOrEqual__r1_xxreal_0__r0_r5, axiom, r1_xxreal_0(0, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm1, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm15, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm2, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm3, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r0_rm5, axiom,  ~ (r1_xxreal_0(0, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r0, axiom,  ~ (r1_xxreal_0(12, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r1, axiom,  ~ (r1_xxreal_0(12, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r12, axiom, r1_xxreal_0(12, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r13, axiom, r1_xxreal_0(12, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r14, axiom, r1_xxreal_0(12, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r15, axiom, r1_xxreal_0(12, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r12_r2, axiom,  ~ (r1_xxreal_0(12, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r3, axiom,  ~ (r1_xxreal_0(12, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_r5, axiom,  ~ (r1_xxreal_0(12, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm1, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm15, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm3, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r12_rm5, axiom,  ~ (r1_xxreal_0(12, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r0, axiom,  ~ (r1_xxreal_0(13, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r1, axiom,  ~ (r1_xxreal_0(13, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r12, axiom,  ~ (r1_xxreal_0(13, 12)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r13, axiom, r1_xxreal_0(13, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r14, axiom, r1_xxreal_0(13, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r15, axiom, r1_xxreal_0(13, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r13_r2, axiom,  ~ (r1_xxreal_0(13, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r3, axiom,  ~ (r1_xxreal_0(13, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_r5, axiom,  ~ (r1_xxreal_0(13, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_rm1, axiom,  ~ (r1_xxreal_0(13, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r13_rm2, axiom,  ~ (r1_xxreal_0(13, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r0, axiom,  ~ (r1_xxreal_0(14, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r1, axiom,  ~ (r1_xxreal_0(14, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r12, axiom,  ~ (r1_xxreal_0(14, 12)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r13, axiom,  ~ (r1_xxreal_0(14, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r14, axiom, r1_xxreal_0(14, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r15, axiom, r1_xxreal_0(14, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r14_r2, axiom,  ~ (r1_xxreal_0(14, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r3, axiom,  ~ (r1_xxreal_0(14, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_r5, axiom,  ~ (r1_xxreal_0(14, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_rm1, axiom,  ~ (r1_xxreal_0(14, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r14_rm3, axiom,  ~ (r1_xxreal_0(14, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r0, axiom,  ~ (r1_xxreal_0(15, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r1, axiom,  ~ (r1_xxreal_0(15, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r12, axiom,  ~ (r1_xxreal_0(15, 12)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r13, axiom,  ~ (r1_xxreal_0(15, 13)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r14, axiom,  ~ (r1_xxreal_0(15, 14)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r15, axiom, r1_xxreal_0(15, 15)).
fof(rqLessOrEqual__r1_xxreal_0__r15_r2, axiom,  ~ (r1_xxreal_0(15, 2)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r3, axiom,  ~ (r1_xxreal_0(15, 3)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_r5, axiom,  ~ (r1_xxreal_0(15, 5)) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_rm1, axiom,  ~ (r1_xxreal_0(15, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_rm15, axiom,  ~ (r1_xxreal_0(15, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_rm3, axiom,  ~ (r1_xxreal_0(15, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r15_rm5, axiom,  ~ (r1_xxreal_0(15, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r0, axiom,  ~ (r1_xxreal_0(1, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_r1, axiom, r1_xxreal_0(1, 1)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r12, axiom, r1_xxreal_0(1, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r13, axiom, r1_xxreal_0(1, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r14, axiom, r1_xxreal_0(1, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r1_r15, axiom, r1_xxreal_0(1, 15)).
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_r5, axiom, r1_xxreal_0(1, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm1, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm15, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm2, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm3, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r1_rm5, axiom,  ~ (r1_xxreal_0(1, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r0, axiom,  ~ (r1_xxreal_0(2, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r1, axiom,  ~ (r1_xxreal_0(2, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_r12, axiom, r1_xxreal_0(2, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r13, axiom, r1_xxreal_0(2, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r14, axiom, r1_xxreal_0(2, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r2_r15, axiom, r1_xxreal_0(2, 15)).
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_r5, axiom, r1_xxreal_0(2, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm1, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm2, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm3, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r2_rm5, axiom,  ~ (r1_xxreal_0(2, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r0, axiom,  ~ (r1_xxreal_0(3, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r1, axiom,  ~ (r1_xxreal_0(3, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_r12, axiom, r1_xxreal_0(3, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r13, axiom, r1_xxreal_0(3, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r14, axiom, r1_xxreal_0(3, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r3_r15, axiom, r1_xxreal_0(3, 15)).
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_r5, axiom, r1_xxreal_0(3, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm1, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm15, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm2, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm3, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r3_rm5, axiom,  ~ (r1_xxreal_0(3, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r0, axiom,  ~ (r1_xxreal_0(5, 0)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r1, axiom,  ~ (r1_xxreal_0(5, 1)) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_r12, axiom, r1_xxreal_0(5, 12)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r13, axiom, r1_xxreal_0(5, 13)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r14, axiom, r1_xxreal_0(5, 14)).
fof(rqLessOrEqual__r1_xxreal_0__r5_r15, axiom, r1_xxreal_0(5, 15)).
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_r5, axiom, r1_xxreal_0(5, 5)).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm1, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(1))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm15, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm2, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm3, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__r5_rm5, axiom,  ~ (r1_xxreal_0(5, k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r12, axiom, r1_xxreal_0(k4_xcmplx_0(12), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r2, axiom, r1_xxreal_0(k4_xcmplx_0(12), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_r3, axiom, r1_xxreal_0(k4_xcmplx_0(12), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm12, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(12))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm12_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(12), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r0, axiom, r1_xxreal_0(k4_xcmplx_0(15), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r1, axiom, r1_xxreal_0(k4_xcmplx_0(15), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r12, axiom, r1_xxreal_0(k4_xcmplx_0(15), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r15, axiom, r1_xxreal_0(k4_xcmplx_0(15), 15)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r3, axiom, r1_xxreal_0(k4_xcmplx_0(15), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_r5, axiom, r1_xxreal_0(k4_xcmplx_0(15), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm15_rm15, axiom, r1_xxreal_0(k4_xcmplx_0(15), k4_xcmplx_0(15))).
fof(rqLessOrEqual__r1_xxreal_0__rm15_rm3, axiom, r1_xxreal_0(k4_xcmplx_0(15), k4_xcmplx_0(3))).
fof(rqLessOrEqual__r1_xxreal_0__rm15_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(15), k4_xcmplx_0(5))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r0, axiom, r1_xxreal_0(k4_xcmplx_0(1), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r1, axiom, r1_xxreal_0(k4_xcmplx_0(1), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r12, axiom, r1_xxreal_0(k4_xcmplx_0(1), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r13, axiom, r1_xxreal_0(k4_xcmplx_0(1), 13)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r14, axiom, r1_xxreal_0(k4_xcmplx_0(1), 14)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r15, axiom, r1_xxreal_0(k4_xcmplx_0(1), 15)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r2, axiom, r1_xxreal_0(k4_xcmplx_0(1), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r3, axiom, r1_xxreal_0(k4_xcmplx_0(1), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_r5, axiom, r1_xxreal_0(k4_xcmplx_0(1), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm2, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(2))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm1_rm5, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(1), k4_xcmplx_0(5))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r0, axiom, r1_xxreal_0(k4_xcmplx_0(2), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r1, axiom, r1_xxreal_0(k4_xcmplx_0(2), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r13, axiom, r1_xxreal_0(k4_xcmplx_0(2), 13)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r2, axiom, r1_xxreal_0(k4_xcmplx_0(2), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r3, axiom, r1_xxreal_0(k4_xcmplx_0(2), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_r5, axiom, r1_xxreal_0(k4_xcmplx_0(2), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm2_rm3, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(2), k4_xcmplx_0(3))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r0, axiom, r1_xxreal_0(k4_xcmplx_0(3), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r1, axiom, r1_xxreal_0(k4_xcmplx_0(3), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r12, axiom, r1_xxreal_0(k4_xcmplx_0(3), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r14, axiom, r1_xxreal_0(k4_xcmplx_0(3), 14)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r15, axiom, r1_xxreal_0(k4_xcmplx_0(3), 15)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r2, axiom, r1_xxreal_0(k4_xcmplx_0(3), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_r3, axiom, r1_xxreal_0(k4_xcmplx_0(3), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm15, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm2, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(2))).
fof(rqLessOrEqual__r1_xxreal_0__rm3_rm3, axiom, r1_xxreal_0(k4_xcmplx_0(3), k4_xcmplx_0(3))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r0, axiom, r1_xxreal_0(k4_xcmplx_0(5), 0)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r1, axiom, r1_xxreal_0(k4_xcmplx_0(5), 1)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r12, axiom, r1_xxreal_0(k4_xcmplx_0(5), 12)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r15, axiom, r1_xxreal_0(k4_xcmplx_0(5), 15)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r2, axiom, r1_xxreal_0(k4_xcmplx_0(5), 2)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r3, axiom, r1_xxreal_0(k4_xcmplx_0(5), 3)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_r5, axiom, r1_xxreal_0(k4_xcmplx_0(5), 5)).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm1, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(1))).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm12, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(12))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm15, axiom,  ~ (r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(15))) ).
fof(rqLessOrEqual__r1_xxreal_0__rm5_rm5, axiom, r1_xxreal_0(k4_xcmplx_0(5), k4_xcmplx_0(5))).
fof(rqRealAdd__k2_xcmplx_0__r0_r0_r0, axiom, k2_xcmplx_0(0, 0)=0).
fof(rqRealAdd__k2_xcmplx_0__r0_r12_r12, axiom, k2_xcmplx_0(0, 12)=12).
fof(rqRealAdd__k2_xcmplx_0__r0_r13_r13, axiom, k2_xcmplx_0(0, 13)=13).
fof(rqRealAdd__k2_xcmplx_0__r0_r14_r14, axiom, k2_xcmplx_0(0, 14)=14).
fof(rqRealAdd__k2_xcmplx_0__r0_r15_r15, axiom, k2_xcmplx_0(0, 15)=15).
fof(rqRealAdd__k2_xcmplx_0__r0_r1_r1, axiom, k2_xcmplx_0(0, 1)=1).
fof(rqRealAdd__k2_xcmplx_0__r0_r2_r2, axiom, k2_xcmplx_0(0, 2)=2).
fof(rqRealAdd__k2_xcmplx_0__r0_r3_r3, axiom, k2_xcmplx_0(0, 3)=3).
fof(rqRealAdd__k2_xcmplx_0__r0_r5_r5, axiom, k2_xcmplx_0(0, 5)=5).
fof(rqRealAdd__k2_xcmplx_0__r0_rm1_rm1, axiom, k2_xcmplx_0(0, k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm2_rm2, axiom, k2_xcmplx_0(0, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r0_rm3_rm3, axiom, k2_xcmplx_0(0, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r12_r0_r12, axiom, k2_xcmplx_0(12, 0)=12).
fof(rqRealAdd__k2_xcmplx_0__r12_r1_r13, axiom, k2_xcmplx_0(12, 1)=13).
fof(rqRealAdd__k2_xcmplx_0__r12_r2_r14, axiom, k2_xcmplx_0(12, 2)=14).
fof(rqRealAdd__k2_xcmplx_0__r12_r3_r15, axiom, k2_xcmplx_0(12, 3)=15).
fof(rqRealAdd__k2_xcmplx_0__r12_rm12_r0, axiom, k2_xcmplx_0(12, k4_xcmplx_0(12))=0).
fof(rqRealAdd__k2_xcmplx_0__r12_rm14_rm2, axiom, k2_xcmplx_0(12, k4_xcmplx_0(14))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r12_rm15_rm3, axiom, k2_xcmplx_0(12, k4_xcmplx_0(15))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r13_r0_r13, axiom, k2_xcmplx_0(13, 0)=13).
fof(rqRealAdd__k2_xcmplx_0__r13_r1_r14, axiom, k2_xcmplx_0(13, 1)=14).
fof(rqRealAdd__k2_xcmplx_0__r13_r2_r15, axiom, k2_xcmplx_0(13, 2)=15).
fof(rqRealAdd__k2_xcmplx_0__r13_rm12_r1, axiom, k2_xcmplx_0(13, k4_xcmplx_0(12))=1).
fof(rqRealAdd__k2_xcmplx_0__r13_rm13_r0, axiom, k2_xcmplx_0(13, k4_xcmplx_0(13))=0).
fof(rqRealAdd__k2_xcmplx_0__r13_rm15_rm2, axiom, k2_xcmplx_0(13, k4_xcmplx_0(15))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r13_rm1_r12, axiom, k2_xcmplx_0(13, k4_xcmplx_0(1))=12).
fof(rqRealAdd__k2_xcmplx_0__r14_r0_r14, axiom, k2_xcmplx_0(14, 0)=14).
fof(rqRealAdd__k2_xcmplx_0__r14_r1_r15, axiom, k2_xcmplx_0(14, 1)=15).
fof(rqRealAdd__k2_xcmplx_0__r14_rm12_r2, axiom, k2_xcmplx_0(14, k4_xcmplx_0(12))=2).
fof(rqRealAdd__k2_xcmplx_0__r14_rm13_r1, axiom, k2_xcmplx_0(14, k4_xcmplx_0(13))=1).
fof(rqRealAdd__k2_xcmplx_0__r14_rm14_r0, axiom, k2_xcmplx_0(14, k4_xcmplx_0(14))=0).
fof(rqRealAdd__k2_xcmplx_0__r14_rm1_r13, axiom, k2_xcmplx_0(14, k4_xcmplx_0(1))=13).
fof(rqRealAdd__k2_xcmplx_0__r14_rm2_r12, axiom, k2_xcmplx_0(14, k4_xcmplx_0(2))=12).
fof(rqRealAdd__k2_xcmplx_0__r15_r0_r15, axiom, k2_xcmplx_0(15, 0)=15).
fof(rqRealAdd__k2_xcmplx_0__r15_rm15_r0, axiom, k2_xcmplx_0(15, k4_xcmplx_0(15))=0).
fof(rqRealAdd__k2_xcmplx_0__r15_rm1_r14, axiom, k2_xcmplx_0(15, k4_xcmplx_0(1))=14).
fof(rqRealAdd__k2_xcmplx_0__r15_rm2_r13, axiom, k2_xcmplx_0(15, k4_xcmplx_0(2))=13).
fof(rqRealAdd__k2_xcmplx_0__r15_rm3_r12, axiom, k2_xcmplx_0(15, k4_xcmplx_0(3))=12).
fof(rqRealAdd__k2_xcmplx_0__r1_r0_r1, axiom, k2_xcmplx_0(1, 0)=1).
fof(rqRealAdd__k2_xcmplx_0__r1_r12_r13, axiom, k2_xcmplx_0(1, 12)=13).
fof(rqRealAdd__k2_xcmplx_0__r1_r13_r14, axiom, k2_xcmplx_0(1, 13)=14).
fof(rqRealAdd__k2_xcmplx_0__r1_r14_r15, axiom, k2_xcmplx_0(1, 14)=15).
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_rm13_rm12, axiom, k2_xcmplx_0(1, k4_xcmplx_0(13))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm14_rm13, axiom, k2_xcmplx_0(1, k4_xcmplx_0(14))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm15_rm14, axiom, k2_xcmplx_0(1, k4_xcmplx_0(15))=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm1_r0, axiom, k2_xcmplx_0(1, k4_xcmplx_0(1))=0).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm3_rm2, axiom, k2_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r2_r0_r2, axiom, k2_xcmplx_0(2, 0)=2).
fof(rqRealAdd__k2_xcmplx_0__r2_r12_r14, axiom, k2_xcmplx_0(2, 12)=14).
fof(rqRealAdd__k2_xcmplx_0__r2_r13_r15, axiom, k2_xcmplx_0(2, 13)=15).
fof(rqRealAdd__k2_xcmplx_0__r2_r1_r3, axiom, k2_xcmplx_0(2, 1)=3).
fof(rqRealAdd__k2_xcmplx_0__r2_r3_r5, axiom, k2_xcmplx_0(2, 3)=5).
fof(rqRealAdd__k2_xcmplx_0__r2_rm14_rm12, axiom, k2_xcmplx_0(2, k4_xcmplx_0(14))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm15_rm13, axiom, k2_xcmplx_0(2, k4_xcmplx_0(15))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm2_r0, axiom, k2_xcmplx_0(2, k4_xcmplx_0(2))=0).
fof(rqRealAdd__k2_xcmplx_0__r2_rm3_rm1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(3))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm5_rm3, axiom, k2_xcmplx_0(2, k4_xcmplx_0(5))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__r3_r0_r3, axiom, k2_xcmplx_0(3, 0)=3).
fof(rqRealAdd__k2_xcmplx_0__r3_r12_r15, axiom, k2_xcmplx_0(3, 12)=15).
fof(rqRealAdd__k2_xcmplx_0__r3_r2_r5, axiom, k2_xcmplx_0(3, 2)=5).
fof(rqRealAdd__k2_xcmplx_0__r3_rm15_rm12, axiom, k2_xcmplx_0(3, k4_xcmplx_0(15))=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__r3_rm1_r2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(1))=2).
fof(rqRealAdd__k2_xcmplx_0__r3_rm2_r1, axiom, k2_xcmplx_0(3, k4_xcmplx_0(2))=1).
fof(rqRealAdd__k2_xcmplx_0__r3_rm3_r0, axiom, k2_xcmplx_0(3, k4_xcmplx_0(3))=0).
fof(rqRealAdd__k2_xcmplx_0__r3_rm5_rm2, axiom, k2_xcmplx_0(3, k4_xcmplx_0(5))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r5_r0_r5, axiom, k2_xcmplx_0(5, 0)=5).
fof(rqRealAdd__k2_xcmplx_0__r5_rm2_r3, axiom, k2_xcmplx_0(5, k4_xcmplx_0(2))=3).
fof(rqRealAdd__k2_xcmplx_0__r5_rm3_r2, axiom, k2_xcmplx_0(5, k4_xcmplx_0(3))=2).
fof(rqRealAdd__k2_xcmplx_0__r5_rm5_r0, axiom, k2_xcmplx_0(5, k4_xcmplx_0(5))=0).
fof(rqRealAdd__k2_xcmplx_0__rm12_r12_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 12)=0).
fof(rqRealAdd__k2_xcmplx_0__rm12_r13_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 13)=1).
fof(rqRealAdd__k2_xcmplx_0__rm12_r14_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(12), 14)=2).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm1_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(1))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm2_rm14, axiom, k2_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(2))=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__rm12_rm3_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(3))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm13_r12_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 12)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm13_r13_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 13)=0).
fof(rqRealAdd__k2_xcmplx_0__rm13_r14_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 14)=1).
fof(rqRealAdd__k2_xcmplx_0__rm13_r15_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 15)=2).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm1_rm14, axiom, k2_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(1))=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__rm13_rm2_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(2))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm14_r14_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(14), 14)=0).
fof(rqRealAdd__k2_xcmplx_0__rm14_r15_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(14), 15)=1).
fof(rqRealAdd__k2_xcmplx_0__rm14_r1_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(14), 1)=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm14_r2_rm12, axiom, k2_xcmplx_0(k4_xcmplx_0(14), 2)=k4_xcmplx_0(12)).
fof(rqRealAdd__k2_xcmplx_0__rm14_rm1_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(1))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm15_r12_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(15), 12)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm15_r15_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(15), 15)=0).
fof(rqRealAdd__k2_xcmplx_0__rm15_r2_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(15), 2)=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r0_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r13_r12, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 13)=12).
fof(rqRealAdd__k2_xcmplx_0__rm1_r14_r13, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 14)=13).
fof(rqRealAdd__k2_xcmplx_0__rm1_r15_r14, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 15)=14).
fof(rqRealAdd__k2_xcmplx_0__rm1_r1_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 1)=0).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_r3_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 3)=2).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm12_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(12))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm13_rm14, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(13))=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm14_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(14))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r0_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r14_r12, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 14)=12).
fof(rqRealAdd__k2_xcmplx_0__rm2_r15_r13, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 15)=13).
fof(rqRealAdd__k2_xcmplx_0__rm2_r1_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r2_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 2)=0).
fof(rqRealAdd__k2_xcmplx_0__rm2_r3_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 3)=1).
fof(rqRealAdd__k2_xcmplx_0__rm2_r5_r3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 5)=3).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm12_rm14, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(12))=k4_xcmplx_0(14)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm13_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(13))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm1_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm3_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(3))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r15_r12, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 15)=12).
fof(rqRealAdd__k2_xcmplx_0__rm3_r1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r2_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 2)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm3_r3_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 3)=0).
fof(rqRealAdd__k2_xcmplx_0__rm3_r5_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(3), 5)=2).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm12_rm15, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(12))=k4_xcmplx_0(15)).
fof(rqRealAdd__k2_xcmplx_0__rm3_rm2_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(2))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r2_rm3, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 2)=k4_xcmplx_0(3)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r3_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 3)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r5_r0, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 5)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r0_r0, axiom, k6_xcmplx_0(0, 0)=0).
fof(rqRealDiff__k6_xcmplx_0__r0_r12_rm12, axiom, k6_xcmplx_0(0, 12)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r0_r13_rm13, axiom, k6_xcmplx_0(0, 13)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r0_r14_rm14, axiom, k6_xcmplx_0(0, 14)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__r0_r15_rm15, axiom, k6_xcmplx_0(0, 15)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__r0_r1_rm1, axiom, k6_xcmplx_0(0, 1)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r0_r2_rm2, axiom, k6_xcmplx_0(0, 2)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r0_r3_rm3, axiom, k6_xcmplx_0(0, 3)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r0_r5_rm5, axiom, k6_xcmplx_0(0, 5)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__r0_rm15_r15, axiom, k6_xcmplx_0(0, k4_xcmplx_0(15))=15).
fof(rqRealDiff__k6_xcmplx_0__r0_rm1_r1, axiom, k6_xcmplx_0(0, k4_xcmplx_0(1))=1).
fof(rqRealDiff__k6_xcmplx_0__r0_rm2_r2, axiom, k6_xcmplx_0(0, k4_xcmplx_0(2))=2).
fof(rqRealDiff__k6_xcmplx_0__r0_rm3_r3, axiom, k6_xcmplx_0(0, k4_xcmplx_0(3))=3).
fof(rqRealDiff__k6_xcmplx_0__r0_rm5_r5, axiom, k6_xcmplx_0(0, k4_xcmplx_0(5))=5).
fof(rqRealDiff__k6_xcmplx_0__r12_r0_r12, axiom, k6_xcmplx_0(12, 0)=12).
fof(rqRealDiff__k6_xcmplx_0__r12_r12_r0, axiom, k6_xcmplx_0(12, 12)=0).
fof(rqRealDiff__k6_xcmplx_0__r12_r13_rm1, axiom, k6_xcmplx_0(12, 13)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r12_r14_rm2, axiom, k6_xcmplx_0(12, 14)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r12_r15_rm3, axiom, k6_xcmplx_0(12, 15)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r12_rm1_r13, axiom, k6_xcmplx_0(12, k4_xcmplx_0(1))=13).
fof(rqRealDiff__k6_xcmplx_0__r12_rm2_r14, axiom, k6_xcmplx_0(12, k4_xcmplx_0(2))=14).
fof(rqRealDiff__k6_xcmplx_0__r12_rm3_r15, axiom, k6_xcmplx_0(12, k4_xcmplx_0(3))=15).
fof(rqRealDiff__k6_xcmplx_0__r13_r0_r13, axiom, k6_xcmplx_0(13, 0)=13).
fof(rqRealDiff__k6_xcmplx_0__r13_r12_r1, axiom, k6_xcmplx_0(13, 12)=1).
fof(rqRealDiff__k6_xcmplx_0__r13_r13_r0, axiom, k6_xcmplx_0(13, 13)=0).
fof(rqRealDiff__k6_xcmplx_0__r13_r14_rm1, axiom, k6_xcmplx_0(13, 14)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r13_r15_rm2, axiom, k6_xcmplx_0(13, 15)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r13_r1_r12, axiom, k6_xcmplx_0(13, 1)=12).
fof(rqRealDiff__k6_xcmplx_0__r13_rm1_r14, axiom, k6_xcmplx_0(13, k4_xcmplx_0(1))=14).
fof(rqRealDiff__k6_xcmplx_0__r13_rm2_r15, axiom, k6_xcmplx_0(13, k4_xcmplx_0(2))=15).
fof(rqRealDiff__k6_xcmplx_0__r14_r0_r14, axiom, k6_xcmplx_0(14, 0)=14).
fof(rqRealDiff__k6_xcmplx_0__r14_r12_r2, axiom, k6_xcmplx_0(14, 12)=2).
fof(rqRealDiff__k6_xcmplx_0__r14_r13_r1, axiom, k6_xcmplx_0(14, 13)=1).
fof(rqRealDiff__k6_xcmplx_0__r14_r14_r0, axiom, k6_xcmplx_0(14, 14)=0).
fof(rqRealDiff__k6_xcmplx_0__r14_r15_rm1, axiom, k6_xcmplx_0(14, 15)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r14_r1_r13, axiom, k6_xcmplx_0(14, 1)=13).
fof(rqRealDiff__k6_xcmplx_0__r14_r2_r12, axiom, k6_xcmplx_0(14, 2)=12).
fof(rqRealDiff__k6_xcmplx_0__r14_rm1_r15, axiom, k6_xcmplx_0(14, k4_xcmplx_0(1))=15).
fof(rqRealDiff__k6_xcmplx_0__r15_r0_r15, axiom, k6_xcmplx_0(15, 0)=15).
fof(rqRealDiff__k6_xcmplx_0__r15_r12_r3, axiom, k6_xcmplx_0(15, 12)=3).
fof(rqRealDiff__k6_xcmplx_0__r15_r13_r2, axiom, k6_xcmplx_0(15, 13)=2).
fof(rqRealDiff__k6_xcmplx_0__r15_r14_r1, axiom, k6_xcmplx_0(15, 14)=1).
fof(rqRealDiff__k6_xcmplx_0__r15_r15_r0, axiom, k6_xcmplx_0(15, 15)=0).
fof(rqRealDiff__k6_xcmplx_0__r15_r1_r14, axiom, k6_xcmplx_0(15, 1)=14).
fof(rqRealDiff__k6_xcmplx_0__r15_r2_r13, axiom, k6_xcmplx_0(15, 2)=13).
fof(rqRealDiff__k6_xcmplx_0__r15_r3_r12, axiom, k6_xcmplx_0(15, 3)=12).
fof(rqRealDiff__k6_xcmplx_0__r1_r0_r1, axiom, k6_xcmplx_0(1, 0)=1).
fof(rqRealDiff__k6_xcmplx_0__r1_r13_rm12, axiom, k6_xcmplx_0(1, 13)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r1_r14_rm13, axiom, k6_xcmplx_0(1, 14)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r1_r15_rm14, axiom, k6_xcmplx_0(1, 15)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__r1_r1_r0, axiom, k6_xcmplx_0(1, 1)=0).
fof(rqRealDiff__k6_xcmplx_0__r1_r2_rm1, axiom, k6_xcmplx_0(1, 2)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r1_r3_rm2, axiom, k6_xcmplx_0(1, 3)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r1_rm12_r13, axiom, k6_xcmplx_0(1, k4_xcmplx_0(12))=13).
fof(rqRealDiff__k6_xcmplx_0__r1_rm13_r14, axiom, k6_xcmplx_0(1, k4_xcmplx_0(13))=14).
fof(rqRealDiff__k6_xcmplx_0__r1_rm14_r15, axiom, k6_xcmplx_0(1, k4_xcmplx_0(14))=15).
fof(rqRealDiff__k6_xcmplx_0__r1_rm1_r2, axiom, k6_xcmplx_0(1, k4_xcmplx_0(1))=2).
fof(rqRealDiff__k6_xcmplx_0__r1_rm2_r3, axiom, k6_xcmplx_0(1, k4_xcmplx_0(2))=3).
fof(rqRealDiff__k6_xcmplx_0__r2_r0_r2, axiom, k6_xcmplx_0(2, 0)=2).
fof(rqRealDiff__k6_xcmplx_0__r2_r14_rm12, axiom, k6_xcmplx_0(2, 14)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__r2_r15_rm13, axiom, k6_xcmplx_0(2, 15)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__r2_r1_r1, axiom, k6_xcmplx_0(2, 1)=1).
fof(rqRealDiff__k6_xcmplx_0__r2_r2_r0, axiom, k6_xcmplx_0(2, 2)=0).
fof(rqRealDiff__k6_xcmplx_0__r2_r3_rm1, axiom, k6_xcmplx_0(2, 3)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__r2_r5_rm3, axiom, k6_xcmplx_0(2, 5)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__r2_rm12_r14, axiom, k6_xcmplx_0(2, k4_xcmplx_0(12))=14).
fof(rqRealDiff__k6_xcmplx_0__r2_rm13_r15, axiom, k6_xcmplx_0(2, k4_xcmplx_0(13))=15).
fof(rqRealDiff__k6_xcmplx_0__r2_rm1_r3, axiom, k6_xcmplx_0(2, k4_xcmplx_0(1))=3).
fof(rqRealDiff__k6_xcmplx_0__r2_rm3_r5, axiom, k6_xcmplx_0(2, k4_xcmplx_0(3))=5).
fof(rqRealDiff__k6_xcmplx_0__r3_r0_r3, axiom, k6_xcmplx_0(3, 0)=3).
fof(rqRealDiff__k6_xcmplx_0__r3_r15_rm12, axiom, k6_xcmplx_0(3, 15)=k4_xcmplx_0(12)).
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__r3_r3_r0, axiom, k6_xcmplx_0(3, 3)=0).
fof(rqRealDiff__k6_xcmplx_0__r3_r5_rm2, axiom, k6_xcmplx_0(3, 5)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__r3_rm12_r15, axiom, k6_xcmplx_0(3, k4_xcmplx_0(12))=15).
fof(rqRealDiff__k6_xcmplx_0__r3_rm2_r5, axiom, k6_xcmplx_0(3, k4_xcmplx_0(2))=5).
fof(rqRealDiff__k6_xcmplx_0__r5_r0_r5, axiom, k6_xcmplx_0(5, 0)=5).
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_r5_r0, axiom, k6_xcmplx_0(5, 5)=0).
fof(rqRealDiff__k6_xcmplx_0__rm12_r0_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 0)=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r1_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r2_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 2)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm12_r3_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(12), 3)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm12_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(12))=0).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm13_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(13))=1).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm14_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(14))=2).
fof(rqRealDiff__k6_xcmplx_0__rm12_rm15_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(12), k4_xcmplx_0(15))=3).
fof(rqRealDiff__k6_xcmplx_0__rm13_r0_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 0)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm13_r1_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 1)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm13_r2_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(13), 2)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm12_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(12))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm13_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(13))=0).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm14_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(14))=1).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm15_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(15))=2).
fof(rqRealDiff__k6_xcmplx_0__rm13_rm1_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(13), k4_xcmplx_0(1))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm14_r0_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(14), 0)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm14_r1_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(14), 1)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm12_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(12))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm13_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(13))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm14_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(14))=0).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm15_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(15))=1).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm1_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(1))=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm14_rm2_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(14), k4_xcmplx_0(2))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm15_r0_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(15), 0)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm12_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(12))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm13_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(13))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm14_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(14))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm15_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(15))=0).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm1_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(1))=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm2_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(2))=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm15_rm3_rm12, axiom, k6_xcmplx_0(k4_xcmplx_0(15), k4_xcmplx_0(3))=k4_xcmplx_0(12)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r0_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 0)=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r12_rm13, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 12)=k4_xcmplx_0(13)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r13_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 13)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r14_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 14)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 1)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm1_r2_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(1), 2)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm13_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(13))=12).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm14_r13, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(14))=13).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm15_r14, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(15))=14).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm1_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=0).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm2_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(2))=1).
fof(rqRealDiff__k6_xcmplx_0__rm1_rm3_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(3))=2).
fof(rqRealDiff__k6_xcmplx_0__rm2_r0_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 0)=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r12_rm14, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 12)=k4_xcmplx_0(14)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r13_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 13)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r1_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm2_r3_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(2), 3)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm14_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(14))=12).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm15_r13, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(15))=13).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm1_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(1))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm2_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=0).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm3_r1, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(3))=1).
fof(rqRealDiff__k6_xcmplx_0__rm2_rm5_r3, axiom, k6_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(5))=3).
fof(rqRealDiff__k6_xcmplx_0__rm3_r0_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 0)=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r12_rm15, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 12)=k4_xcmplx_0(15)).
fof(rqRealDiff__k6_xcmplx_0__rm3_r2_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(3), 2)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm15_r12, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(15))=12).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm1_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm2_rm1, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm3_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(3))=0).
fof(rqRealDiff__k6_xcmplx_0__rm3_rm5_r2, axiom, k6_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(5))=2).
fof(rqRealDiff__k6_xcmplx_0__rm5_r0_rm5, axiom, k6_xcmplx_0(k4_xcmplx_0(5), 0)=k4_xcmplx_0(5)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm2_rm3, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(2))=k4_xcmplx_0(3)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm3_rm2, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(3))=k4_xcmplx_0(2)).
fof(rqRealDiff__k6_xcmplx_0__rm5_rm5_r0, axiom, k6_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(5))=0).
fof(rqRealMult__k3_xcmplx_0__r0_r0_r0, axiom, k3_xcmplx_0(0, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r12_r0, axiom, k3_xcmplx_0(0, 12)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r13_r0, axiom, k3_xcmplx_0(0, 13)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r14_r0, axiom, k3_xcmplx_0(0, 14)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r15_r0, axiom, k3_xcmplx_0(0, 15)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r1_r0, axiom, k3_xcmplx_0(0, 1)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r2_r0, axiom, k3_xcmplx_0(0, 2)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r3_r0, axiom, k3_xcmplx_0(0, 3)=0).
fof(rqRealMult__k3_xcmplx_0__r0_r5_r0, axiom, k3_xcmplx_0(0, 5)=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm2_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(2))=0).
fof(rqRealMult__k3_xcmplx_0__r0_rm3_r0, axiom, k3_xcmplx_0(0, k4_xcmplx_0(3))=0).
fof(rqRealMult__k3_xcmplx_0__r12_r0_r0, axiom, k3_xcmplx_0(12, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r12_r1_r12, axiom, k3_xcmplx_0(12, 1)=12).
fof(rqRealMult__k3_xcmplx_0__r13_r0_r0, axiom, k3_xcmplx_0(13, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r13_r1_r13, axiom, k3_xcmplx_0(13, 1)=13).
fof(rqRealMult__k3_xcmplx_0__r14_r0_r0, axiom, k3_xcmplx_0(14, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r14_r1_r14, axiom, k3_xcmplx_0(14, 1)=14).
fof(rqRealMult__k3_xcmplx_0__r15_r0_r0, axiom, k3_xcmplx_0(15, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r15_r1_r15, axiom, k3_xcmplx_0(15, 1)=15).
fof(rqRealMult__k3_xcmplx_0__r1_r0_r0, axiom, k3_xcmplx_0(1, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r1_r12_r12, axiom, k3_xcmplx_0(1, 12)=12).
fof(rqRealMult__k3_xcmplx_0__r1_r13_r13, axiom, k3_xcmplx_0(1, 13)=13).
fof(rqRealMult__k3_xcmplx_0__r1_r14_r14, axiom, k3_xcmplx_0(1, 14)=14).
fof(rqRealMult__k3_xcmplx_0__r1_r15_r15, axiom, k3_xcmplx_0(1, 15)=15).
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_r5_r5, axiom, k3_xcmplx_0(1, 5)=5).
fof(rqRealMult__k3_xcmplx_0__r1_rm12_rm12, axiom, k3_xcmplx_0(1, k4_xcmplx_0(12))=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__r1_rm13_rm13, axiom, k3_xcmplx_0(1, k4_xcmplx_0(13))=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__r1_rm14_rm14, axiom, k3_xcmplx_0(1, k4_xcmplx_0(14))=k4_xcmplx_0(14)).
fof(rqRealMult__k3_xcmplx_0__r1_rm15_rm15, axiom, k3_xcmplx_0(1, k4_xcmplx_0(15))=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__r1_rm2_rm2, axiom, k3_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__r1_rm3_rm3, axiom, k3_xcmplx_0(1, k4_xcmplx_0(3))=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__r1_rm5_rm5, axiom, k3_xcmplx_0(1, k4_xcmplx_0(5))=k4_xcmplx_0(5)).
fof(rqRealMult__k3_xcmplx_0__r2_r0_r0, axiom, k3_xcmplx_0(2, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r2_r1_r2, axiom, k3_xcmplx_0(2, 1)=2).
fof(rqRealMult__k3_xcmplx_0__r3_r0_r0, axiom, k3_xcmplx_0(3, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r3_r1_r3, axiom, k3_xcmplx_0(3, 1)=3).
fof(rqRealMult__k3_xcmplx_0__r3_r5_r15, axiom, k3_xcmplx_0(3, 5)=15).
fof(rqRealMult__k3_xcmplx_0__r3_rm5_rm15, axiom, k3_xcmplx_0(3, k4_xcmplx_0(5))=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__r5_r0_r0, axiom, k3_xcmplx_0(5, 0)=0).
fof(rqRealMult__k3_xcmplx_0__r5_r1_r5, axiom, k3_xcmplx_0(5, 1)=5).
fof(rqRealMult__k3_xcmplx_0__r5_r3_r15, axiom, k3_xcmplx_0(5, 3)=15).
fof(rqRealMult__k3_xcmplx_0__r5_rm3_rm15, axiom, k3_xcmplx_0(5, k4_xcmplx_0(3))=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__rm12_r1_rm12, axiom, k3_xcmplx_0(k4_xcmplx_0(12), 1)=k4_xcmplx_0(12)).
fof(rqRealMult__k3_xcmplx_0__rm13_r1_rm13, axiom, k3_xcmplx_0(k4_xcmplx_0(13), 1)=k4_xcmplx_0(13)).
fof(rqRealMult__k3_xcmplx_0__rm14_r1_rm14, axiom, k3_xcmplx_0(k4_xcmplx_0(14), 1)=k4_xcmplx_0(14)).
fof(rqRealMult__k3_xcmplx_0__rm15_r1_rm15, axiom, k3_xcmplx_0(k4_xcmplx_0(15), 1)=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__rm2_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm2_r1_rm2, axiom, k3_xcmplx_0(k4_xcmplx_0(2), 1)=k4_xcmplx_0(2)).
fof(rqRealMult__k3_xcmplx_0__rm3_r0_r0, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 0)=0).
fof(rqRealMult__k3_xcmplx_0__rm3_r1_rm3, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 1)=k4_xcmplx_0(3)).
fof(rqRealMult__k3_xcmplx_0__rm3_r5_rm15, axiom, k3_xcmplx_0(k4_xcmplx_0(3), 5)=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__rm3_rm5_r15, axiom, k3_xcmplx_0(k4_xcmplx_0(3), k4_xcmplx_0(5))=15).
fof(rqRealMult__k3_xcmplx_0__rm5_r1_rm5, axiom, k3_xcmplx_0(k4_xcmplx_0(5), 1)=k4_xcmplx_0(5)).
fof(rqRealMult__k3_xcmplx_0__rm5_r3_rm15, axiom, k3_xcmplx_0(k4_xcmplx_0(5), 3)=k4_xcmplx_0(15)).
fof(rqRealMult__k3_xcmplx_0__rm5_rm3_r15, axiom, k3_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(3))=15).
fof(rqRealNeg__k4_xcmplx_0__r0_r0, axiom, k4_xcmplx_0(0)=0).
fof(rqRealNeg__k4_xcmplx_0__r12_rm12, axiom, k4_xcmplx_0(12)=k4_xcmplx_0(12)).
fof(rqRealNeg__k4_xcmplx_0__r13_rm13, axiom, k4_xcmplx_0(13)=k4_xcmplx_0(13)).
fof(rqRealNeg__k4_xcmplx_0__r14_rm14, axiom, k4_xcmplx_0(14)=k4_xcmplx_0(14)).
fof(rqRealNeg__k4_xcmplx_0__r15_rm15, axiom, k4_xcmplx_0(15)=k4_xcmplx_0(15)).
fof(rqRealNeg__k4_xcmplx_0__r1_rm1, axiom, k4_xcmplx_0(1)=k4_xcmplx_0(1)).
fof(rqRealNeg__k4_xcmplx_0__r2_rm2, axiom, k4_xcmplx_0(2)=k4_xcmplx_0(2)).
fof(rqRealNeg__k4_xcmplx_0__r3_rm3, axiom, k4_xcmplx_0(3)=k4_xcmplx_0(3)).
fof(rqRealNeg__k4_xcmplx_0__r5_rm5, axiom, k4_xcmplx_0(5)=k4_xcmplx_0(5)).
fof(rqRealNeg__k4_xcmplx_0__rm12_r12, axiom, k4_xcmplx_0(k4_xcmplx_0(12))=12).
fof(rqRealNeg__k4_xcmplx_0__rm13_r13, axiom, k4_xcmplx_0(k4_xcmplx_0(13))=13).
fof(rqRealNeg__k4_xcmplx_0__rm14_r14, axiom, k4_xcmplx_0(k4_xcmplx_0(14))=14).
fof(rqRealNeg__k4_xcmplx_0__rm15_r15, axiom, k4_xcmplx_0(k4_xcmplx_0(15))=15).
fof(rqRealNeg__k4_xcmplx_0__rm1_r1, axiom, k4_xcmplx_0(k4_xcmplx_0(1))=1).
fof(rqRealNeg__k4_xcmplx_0__rm2_r2, axiom, k4_xcmplx_0(k4_xcmplx_0(2))=2).
fof(rqRealNeg__k4_xcmplx_0__rm3_r3, axiom, k4_xcmplx_0(k4_xcmplx_0(3))=3).
fof(rqRealNeg__k4_xcmplx_0__rm5_r5, axiom, k4_xcmplx_0(k4_xcmplx_0(5))=5).
fof(spc0_numerals, axiom, m1_subset_1(0, k4_ordinal1)).
fof(spc12_numerals, axiom,  (v2_xxreal_0(12) & m1_subset_1(12, k4_ordinal1)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, k4_ordinal1)) ).
fof(spc14_numerals, axiom,  (v2_xxreal_0(14) & m1_subset_1(14, k4_ordinal1)) ).
fof(spc15_numerals, axiom,  (v2_xxreal_0(15) & m1_subset_1(15, k4_ordinal1)) ).
fof(spc1_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(A, k4_xcmplx_0(B))=k6_xcmplx_0(A, B)) ) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k4_xcmplx_0(1))=k4_xcmplx_0(A)) ) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc3_numerals, axiom,  (v2_xxreal_0(3) & m1_subset_1(3, k4_ordinal1)) ).
fof(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_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(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(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc9_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k6_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k6_xcmplx_0(B, A)) ) ).
fof(symmetry_r6_pboole, 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_partfun1(C, A)) ) ) )  =>  (r6_pboole(A, B, C) => r6_pboole(A, C, B)) ) ) ).
fof(t11_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (! [C] :  ( ~ (r2_hidden(C, k9_xtuple_0(B)))  => k1_funct_1(k1_funct_4(A, B), C)=k1_funct_1(A, C)) ) ) ) ) ) ).
fof(t11_scmpds_6, axiom,  (! [A] :  (m1_subset_1(A, u1_compos_1(k1_scmpds_2)) =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(B, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(D) & v1_partfun1(D, k4_ordinal1)) ) ) )  => k3_extpro_1(k5_card_1(2), k1_scmpds_2, k1_funct_4(D, k10_compos_1(k1_scmpds_2, k2_scmpds_4(A, C))), k8_memstr_0(k5_card_1(2), k1_scmpds_2, B))=A) ) ) ) ) ) ) ) ).
fof(t143_pboole, axiom,  (! [A] :  ( ~ (v1_xboole_0(A))  =>  (! [B] :  ( ~ (v1_xboole_0(B))  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, A) &  (v5_relat_1(C, B) &  (v1_funct_1(C) & v1_partfun1(C, A)) ) ) )  =>  (! [D] :  (m1_subset_1(D, A) => k1_funct_1(C, D)=k7_partfun1(B, C, D)) ) ) ) ) ) ) ) ).
fof(t18_scmpds_4, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  (v7_ordinal1(B) =>  ~ (r2_tarski(A, k9_xtuple_0(k7_memstr_0(k5_card_1(2), k1_scmpds_2, B)))) ) ) ) ) ).
fof(t18_scmpds_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, k4_ordinal1) &  (v5_relat_1(B, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(B) & v1_partfun1(B, k4_ordinal1)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(C) & v1_partfun1(C, k4_ordinal1)) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) &  (v1_partfun1(D, u1_struct_0(k1_scmpds_2)) & v5_memstr_0(D, k5_card_1(2), k1_scmpds_2, k5_numbers)) ) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(E))  &  (v1_funct_1(E) &  (v1_finset_1(E) &  (v1_afinsq_1(E) &  (v2_compos_1(E, k1_scmpds_2) & v3_scmpds_4(E)) ) ) ) ) ) ) )  =>  ( (r1_tarski(k10_compos_1(k1_scmpds_2, E), B) &  (r1_scmpds_6(E, D, B) & r2_scmpds_6(E, D, B)) )  =>  (! [F] :  (v7_ordinal1(F) =>  ( (r1_tarski(k61_valued_1(E, F), C) &  (k5_memstr_0(k5_card_1(2), k1_scmpds_2, A)=F & k6_memstr_0(k5_card_1(2), k1_scmpds_2, D)=k6_memstr_0(k5_card_1(2), k1_scmpds_2, A)) )  =>  (k5_memstr_0(k5_card_1(2), k1_scmpds_2, k5_extpro_1(k5_card_1(2), k1_scmpds_2, C, A, k8_extpro_1(k5_card_1(2), k1_scmpds_2, B, D)))=k2_xcmplx_0(k4_card_1(E), F) & k6_memstr_0(k5_card_1(2), k1_scmpds_2, k5_extpro_1(k5_card_1(2), k1_scmpds_2, B, D, k8_extpro_1(k5_card_1(2), k1_scmpds_2, B, D)))=k6_memstr_0(k5_card_1(2), k1_scmpds_2, k5_extpro_1(k5_card_1(2), k1_scmpds_2, C, A, k8_extpro_1(k5_card_1(2), k1_scmpds_2, B, D)))) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t18_scmpds_8, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (! [D] :  ( ( ~ (v1_xboole_0(D))  &  (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(D) &  (v1_finset_1(D) & v1_afinsq_1(D)) ) ) ) ) )  =>  ( ~ (r1_xxreal_0(k1_nat_1(k4_card_1(D), 2), C))  <=> r2_tarski(C, k9_xtuple_0(k2_scmpds_8(A, B, D)))) ) ) ) ) ) ) ) ) ).
fof(t19_scmpds_8, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  ( ( ~ (v1_xboole_0(C))  &  (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  =>  (k1_funct_1(k2_scmpds_8(A, B, C), k5_numbers)=k8_scmpds_2(A, B, k1_nat_1(k4_card_1(C), 2)) & k1_funct_1(k2_scmpds_8(A, B, C), k1_nat_1(k4_card_1(C), 1))=k3_scmpds_2(k4_xcmplx_0(k1_nat_1(k4_card_1(C), 1)))) ) ) ) ) ) ) ).
fof(t1_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k2_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t1_numerals, axiom, m1_subset_1(k1_xboole_0, k4_ordinal1)).
fof(t1_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v2_xxreal_0(A))  => v2_xxreal_0(B)) ) ) ) ) ).
fof(t1_scmpds_7, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  (v7_ordinal1(B) =>  (! [C] :  (v7_ordinal1(C) =>  (k5_memstr_0(k5_card_1(2), k1_scmpds_2, A)=B => k17_scmpds_2(A, k6_xcmplx_0(C, B))=C) ) ) ) ) ) ) ).
fof(t1_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t1_xboole_1, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r1_tarski(A, B) & r1_tarski(B, C))  => r1_tarski(A, C)) ) ) ) ).
fof(t23_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) &  (v3_extpro_1(B, A) & l1_extpro_1(B, A)) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (r1_extpro_1(A, B, C, D) => k6_extpro_1(A, B, C, D)=k5_extpro_1(A, B, C, D, k8_extpro_1(A, B, C, D))) ) ) ) ) ) ) ) ) ).
fof(t24_scmpds_6, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, k4_ordinal1) &  (v5_relat_1(A, u1_compos_1(k1_scmpds_2)) &  (v1_funct_1(A) & v1_partfun1(A, k4_ordinal1)) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(B, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(C))  &  (v1_funct_1(C) &  (v1_finset_1(C) & v1_afinsq_1(C)) ) ) ) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, k4_ordinal1) &  (v5_relat_1(D, u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(D))  &  (v1_funct_1(D) &  (v1_finset_1(D) & v1_afinsq_1(D)) ) ) ) ) )  =>  (r1_scmpds_6(C, B, A) <=> r1_scmpds_6(C, k8_memstr_0(k5_card_1(2), k1_scmpds_2, B), k1_funct_4(A, D))) ) ) ) ) ) ) ) ) ).
fof(t25_funct_4, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  => r1_tarski(B, k1_funct_4(A, B))) ) ) ) ).
fof(t2_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(A, k5_numbers)=k5_numbers) ) ).
fof(t2_grfunc_1, axiom,  (! [A] :  ( (v1_relat_1(A) & v1_funct_1(A))  =>  (! [B] :  ( (v1_relat_1(B) & v1_funct_1(B))  =>  (r1_tarski(A, B) <=>  (r1_tarski(k9_xtuple_0(A), k9_xtuple_0(B)) &  (! [C] :  (r2_hidden(C, k9_xtuple_0(A)) => k1_funct_1(A, C)=k1_funct_1(B, C)) ) ) ) ) ) ) ) ).
fof(t2_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ( (r1_xxreal_0(A, B) & v3_xxreal_0(B))  => v3_xxreal_0(A)) ) ) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k3_xcmplx_0(1, A)=A) ) ).
fof(t3_extpro_1, axiom,  (! [A] :  ( ( ~ (v1_xboole_0(A))  &  ~ (v1_setfam_1(A)) )  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_extpro_1(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, k4_ordinal1) &  (v5_relat_1(C, u1_compos_1(B)) & v1_funct_1(C)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(B)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(A, B)) & v1_partfun1(D, u1_struct_0(B))) ) ) )  =>  (! [E] :  (v7_ordinal1(E) => k5_extpro_1(A, B, C, D, k1_nat_1(E, 1))=k4_extpro_1(A, B, k5_extpro_1(A, B, C, D, E), C)) ) ) ) ) ) ) ) ) ) ).
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(t46_memstr_0, axiom,  (! [A] :  ( ~ (v1_setfam_1(A))  =>  (! [B] :  ( ( ~ (v2_struct_0(B))  &  (v2_memstr_0(B, A) &  (v3_memstr_0(B, A) & l1_memstr_0(B, A)) ) )  =>  (! [C] :  ( (v1_relat_1(C) &  (v4_relat_1(C, u1_struct_0(B)) &  (v1_funct_1(C) &  (v5_funct_1(C, k2_memstr_0(A, B)) & v1_partfun1(C, u1_struct_0(B))) ) ) )  =>  (k5_memstr_0(A, B, C)=k5_numbers => k8_memstr_0(A, B, C)=C) ) ) ) ) ) ) ).
fof(t4_arithm, axiom,  (! [A] :  (v1_xcmplx_0(A) => k6_xcmplx_0(A, k5_numbers)=A) ) ).
fof(t4_extpro_1, axiom,  (! [A] :  (v7_ordinal1(A) =>  (! [B] :  ( ( ~ (v1_xboole_0(B))  &  ~ (v1_setfam_1(B)) )  =>  (! [C] :  ( ( ~ (v2_struct_0(C))  &  (v2_memstr_0(C, B) &  (v3_memstr_0(C, B) & l1_extpro_1(C, B)) ) )  =>  (! [D] :  ( (v1_relat_1(D) &  (v4_relat_1(D, u1_struct_0(C)) &  (v1_funct_1(D) &  (v5_funct_1(D, k2_memstr_0(B, C)) & v1_partfun1(D, u1_struct_0(C))) ) ) )  =>  (! [E] :  ( (v1_relat_1(E) &  (v4_relat_1(E, k4_ordinal1) &  (v5_relat_1(E, u1_compos_1(C)) & v1_funct_1(E)) ) )  =>  (! [F] :  (v7_ordinal1(F) => k5_extpro_1(B, C, E, D, k2_xcmplx_0(A, F))=k5_extpro_1(B, C, E, k5_extpro_1(B, C, E, D, A), F)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t4_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( (r1_xxreal_0(A, B) &  ( ~ (v2_xxreal_0(B))  & v2_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t54_scmpds_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k3_scmpds_2(B), A), k4_struct_0(k1_scmpds_2))=k17_scmpds_2(A, B) &  (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmpds_2)))  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k3_scmpds_2(B), A), C)=k1_funct_1(A, C)) ) ) ) ) ) ) ).
fof(t56_scmpds_2, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  (v1_int_1(B) =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  ( (v1_ami_2(D) & m1_subset_1(D, u1_struct_0(k1_scmpds_2)))  =>  (! [E] :  ( (v1_ami_2(E) & m1_subset_1(E, u1_struct_0(k1_scmpds_2)))  =>  ( (r1_xxreal_0(k1_funct_1(A, k2_scmpds_2(k1_funct_1(A, D), B)), k5_numbers) => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k8_scmpds_2(D, B, C), A), k4_struct_0(k1_scmpds_2))=k17_scmpds_2(A, C))  &  ( ( ~ (r1_xxreal_0(k1_funct_1(A, k2_scmpds_2(k1_funct_1(A, D), B)), k5_numbers))  => k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k8_scmpds_2(D, B, C), A), k4_struct_0(k1_scmpds_2))=k1_nat_1(k5_memstr_0(k5_card_1(2), k1_scmpds_2, A), 1))  & k1_funct_1(k2_extpro_1(k5_card_1(2), k1_scmpds_2, k8_scmpds_2(D, B, C), A), E)=k1_funct_1(A, E)) ) ) ) ) ) ) ) ) ) ) ) ).
fof(t5_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(B) |  (v3_xxreal_0(A) | v2_xxreal_0(B)) ) ) ) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
fof(t6_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (r1_xxreal_0(A, B) =>  (v8_ordinal1(A) |  (v2_xxreal_0(B) | v3_xxreal_0(A)) ) ) ) ) ) ) ).
fof(t6_xreal_1, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  (! [C] :  (v1_xreal_0(C) =>  (r1_xxreal_0(A, B) <=> r1_xxreal_0(k2_xcmplx_0(A, C), k2_xcmplx_0(B, C))) ) ) ) ) ) ) ).
fof(t74_afinsq_1, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v5_ordinal1(A) &  (v1_funct_1(A) & v1_finset_1(A)) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v5_ordinal1(B) &  (v1_funct_1(B) & v1_finset_1(B)) ) )  => r1_tarski(A, k1_ordinal4(A, 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_real, axiom,  (! [A] :  (v1_xreal_0(A) =>  (! [B] :  (v1_xreal_0(B) =>  ~ ( ( ~ (r1_xxreal_0(A, B))  &  ( ~ (v3_xxreal_0(B))  &  ~ (v2_xxreal_0(A)) ) ) ) ) ) ) ) ).
fof(t8_scmpds_4, axiom,  (! [A] :  ( (v1_relat_1(A) &  (v4_relat_1(A, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(A) &  (v5_funct_1(A, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(A, u1_struct_0(k1_scmpds_2))) ) ) )  =>  (! [B] :  ( (v1_relat_1(B) &  (v4_relat_1(B, u1_struct_0(k1_scmpds_2)) &  (v1_funct_1(B) &  (v5_funct_1(B, k2_memstr_0(k5_card_1(2), k1_scmpds_2)) & v1_partfun1(B, u1_struct_0(k1_scmpds_2))) ) ) )  =>  ( (! [C] :  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmpds_2)))  => k1_funct_1(A, C)=k1_funct_1(B, C)) )  <=> k6_memstr_0(k5_card_1(2), k1_scmpds_2, A)=k6_memstr_0(k5_card_1(2), k1_scmpds_2, B)) ) ) ) ) ).
