% Mizar problem: l20_scpqsort,scpqsort,2334,5 
fof(l20_scpqsort, conjecture, k4_card_1(k2_scmpds_8(k2_scmp_gcd, 5, k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd, k2_scmp_gcd, 7, 5), k11_scmpds_2(k2_scmp_gcd, 5, k4_xcmplx_0(1))), k16_scmpds_2(k2_scmp_gcd, k1_scmp_gcd(4), 6, k5_numbers)), k13_scmpds_2(k2_scmp_gcd, k1_scmp_gcd(2), 6, k5_numbers)), k3_scmpds_6(k2_scmp_gcd, 6, k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd, 4, k4_xcmplx_0(1)), k11_scmpds_2(k2_scmp_gcd, 7, k4_xcmplx_0(1))), k9_compos_1(k1_scmpds_2, k10_scmpds_2(k2_scmp_gcd, 5, k5_numbers))))))=11).
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(cc17_ordinal1, axiom,  (! [A] :  ( ~ (v10_ordinal1(A))  => v1_setfam_1(A)) ) ).
fof(cc18_ordinal1, axiom,  (! [A] :  (v10_ordinal1(A) =>  ~ (v1_setfam_1(A)) ) ) ).
fof(cc19_ordinal1, axiom,  (! [A] :  (v1_setfam_1(A) =>  ~ (v10_ordinal1(A)) ) ) ).
fof(cc1_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_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(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_int_1, axiom,  (! [A] :  (v7_ordinal1(A) => v1_int_1(A)) ) ).
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_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(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(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(d11_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) => k10_scmpds_2(A, B, C)=k3_xtuple_0(7, k1_xboole_0, k11_finseq_1(A, B, C))) ) ) ) ) ) ).
fof(d12_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) => k11_scmpds_2(A, B, C)=k3_xtuple_0(8, k1_xboole_0, k11_finseq_1(A, B, C))) ) ) ) ) ) ).
fof(d14_scmpds_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k13_scmpds_2(A, B, C, D)=k3_xtuple_0(10, k1_xboole_0, k7_finseq_4(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d17_scmpds_2, axiom,  (! [A] :  ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  =>  (! [B] :  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  =>  (! [C] :  (v1_int_1(C) =>  (! [D] :  (v1_int_1(D) => k16_scmpds_2(A, B, C, D)=k3_xtuple_0(13, k1_xboole_0, k7_finseq_4(A, B, C, D))) ) ) ) ) ) ) ) ).
fof(d1_scmp_gcd, axiom,  (! [A] :  (v7_ordinal1(A) => k1_scmp_gcd(A)=k10_ami_3(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(d2_scmp_gcd, axiom, k2_scmp_gcd=k1_scmp_gcd(k5_numbers)).
fof(dt_g1_extpro_1, axiom,  (! [A, B, C, D, E, F, G] :  ( (m1_subset_1(C, B) &  ( (v1_compos_0(D) &  (v2_compos_0(D) &  (v3_compos_0(D) & v5_compos_0(D)) ) )  &  ( (v1_funct_1(E) &  (v1_funct_2(E, B, A) & m1_subset_1(E, k1_zfmisc_1(k2_zfmisc_1(B, A)))) )  &  ( (v1_relat_1(F) &  (v4_relat_1(F, A) &  (v1_funct_1(F) & v1_partfun1(F, A)) ) )  &  (v1_funct_1(G) &  (v1_funct_2(G, D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F)))) & m1_subset_1(G, k1_zfmisc_1(k2_zfmisc_1(D, k1_funct_2(k4_card_3(k3_relat_1(E, F)), k4_card_3(k3_relat_1(E, F))))))) ) ) ) ) )  =>  (v1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A) & l1_extpro_1(g1_extpro_1(A, B, C, D, E, F, G), A)) ) ) ).
fof(dt_k10_ami_3, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_ami_2(k10_ami_3(A)) & m1_subset_1(k10_ami_3(A), u1_struct_0(k1_ami_3))) ) ) ).
fof(dt_k10_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(k10_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k10_subset_1, axiom,  (! [A, B] : m1_subset_1(k10_subset_1(A, B), B)) ).
fof(dt_k11_finseq_1, axiom, $true).
fof(dt_k11_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(k11_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k13_scmpds_2, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  => m1_subset_1(k13_scmpds_2(A, B, C, D), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k16_scmpds_2, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  => m1_subset_1(k16_scmpds_2(A, B, C, D), u1_compos_1(k1_scmpds_2))) ) ).
fof(dt_k1_ami_2, axiom, $true).
fof(dt_k1_ami_3, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & l1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(dt_k1_card_1, axiom,  (! [A] : v1_card_1(k1_card_1(A))) ).
fof(dt_k1_funct_2, axiom, $true).
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_scmp_gcd, axiom,  (! [A] :  (v7_ordinal1(A) =>  (v1_ami_2(k1_scmp_gcd(A)) & m1_subset_1(k1_scmp_gcd(A), u1_struct_0(k1_scmpds_2))) ) ) ).
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_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)) ) ) ) ) )  &  (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(k1_scmpds_4(A, B)) &  (v4_relat_1(k1_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k1_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k1_scmpds_4(A, B)))  &  (v1_funct_1(k1_scmpds_4(A, B)) &  (v1_finset_1(k1_scmpds_4(A, B)) & v1_afinsq_1(k1_scmpds_4(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k1_scmpds_i, axiom, $true).
fof(dt_k1_xboole_0, axiom, $true).
fof(dt_k1_zfmisc_1, axiom, $true).
fof(dt_k2_numbers, axiom, $true).
fof(dt_k2_scmp_gcd, axiom,  (v1_ami_2(k2_scmp_gcd) & m1_subset_1(k2_scmp_gcd, u1_struct_0(k1_scmpds_2))) ).
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_numbers, axiom, $true).
fof(dt_k3_relat_1, axiom,  (! [A, B] : v1_relat_1(k3_relat_1(A, B))) ).
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_scmpds_6, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(B) &  ( (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)) ) ) ) ) )  &  (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)) ) ) ) ) ) ) ) )  =>  (v1_relat_1(k3_scmpds_6(A, B, C, D)) &  (v4_relat_1(k3_scmpds_6(A, B, C, D), k4_ordinal1) &  (v5_relat_1(k3_scmpds_6(A, B, C, D), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k3_scmpds_6(A, B, C, D)))  &  (v1_funct_1(k3_scmpds_6(A, B, C, D)) &  (v1_finset_1(k3_scmpds_6(A, B, C, D)) & v1_afinsq_1(k3_scmpds_6(A, B, C, D))) ) ) ) ) ) ) ) ).
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_numbers, axiom, $true).
fof(dt_k4_ordinal1, axiom, $true).
fof(dt_k4_scmpds_4, axiom,  (! [A, B] :  ( (m1_subset_1(A, u1_compos_1(k1_scmpds_2)) & m1_subset_1(B, u1_compos_1(k1_scmpds_2)))  =>  (v1_relat_1(k4_scmpds_4(A, B)) &  (v4_relat_1(k4_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k4_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k4_scmpds_4(A, B)))  &  (v1_funct_1(k4_scmpds_4(A, B)) &  (v1_finset_1(k4_scmpds_4(A, B)) & v1_afinsq_1(k4_scmpds_4(A, B))) ) ) ) ) ) ) ) ).
fof(dt_k4_xcmplx_0, axiom,  (! [A] :  (v1_xcmplx_0(A) => v1_xcmplx_0(k4_xcmplx_0(A))) ) ).
fof(dt_k5_card_1, axiom,  (! [A] :  (v7_ordinal1(A) => m1_subset_1(k5_card_1(A), k1_zfmisc_1(k4_ordinal1))) ) ).
fof(dt_k5_numbers, axiom, m1_subset_1(k5_numbers, k4_ordinal1)).
fof(dt_k5_ordinal1, axiom, $true).
fof(dt_k6_numbers, axiom, $true).
fof(dt_k6_ordinal1, axiom, $true).
fof(dt_k6_scmpds_1, axiom,  (v1_funct_1(k6_scmpds_1) &  (v1_funct_2(k6_scmpds_1, k1_scmpds_i, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)))) & m1_subset_1(k6_scmpds_1, k1_zfmisc_1(k2_zfmisc_1(k1_scmpds_i, k1_funct_2(k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2)), k4_card_3(k3_relat_1(k3_ami_2, k4_ami_2))))))) ) ).
fof(dt_k7_finseq_4, axiom, $true).
fof(dt_k9_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  =>  (v1_relat_1(k9_compos_1(A, B)) &  (v4_relat_1(k9_compos_1(A, B), k4_ordinal1) &  (v5_relat_1(k9_compos_1(A, B), u1_compos_1(A)) &  (v1_funct_1(k9_compos_1(A, B)) & v1_finset_1(k9_compos_1(A, B))) ) ) ) ) ) ).
fof(dt_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(fc10_scmpds_4, axiom,  (! [A] :  ( (v4_scmpds_4(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)) & v3_scmpds_4(k3_afinsq_1(A))) ) ) ) ) ) ) ) ) ).
fof(fc10_scmpds_5, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  => v6_compos_0(k13_scmpds_2(A, B, C, D), u1_compos_1(k1_scmpds_2))) ) ).
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_scmpds_6, axiom,  (! [A, B, C, D] :  ( ( (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) & 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) &  (v2_scmpds_4(B) & v3_scmpds_4(B)) ) ) ) ) ) ) )  &  ( (v1_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmpds_2)))  & v1_int_1(D)) ) )  =>  (v1_relat_1(k3_scmpds_6(C, D, A, B)) &  (v4_relat_1(k3_scmpds_6(C, D, A, B), k4_ordinal1) &  (v5_relat_1(k3_scmpds_6(C, D, A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k3_scmpds_6(C, D, A, B)))  &  (v1_funct_1(k3_scmpds_6(C, D, A, B)) &  (v1_finset_1(k3_scmpds_6(C, D, A, B)) &  (v1_afinsq_1(k3_scmpds_6(C, D, A, B)) &  (v2_scmpds_4(k3_scmpds_6(C, D, A, B)) & v3_scmpds_4(k3_scmpds_6(C, D, A, B))) ) ) ) ) ) ) ) ) ) ).
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_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_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)) ) ) ) ) ) )  &  (v4_scmpds_4(B) & 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)) & v3_scmpds_4(k3_scmpds_4(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc12_scmpds_6, axiom,  (! [A, B, C, D] :  ( ( (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_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmpds_2)))  & v1_int_1(D)) ) )  =>  (v1_relat_1(k3_scmpds_6(C, D, A, B)) &  (v4_relat_1(k3_scmpds_6(C, D, A, B), k4_ordinal1) &  (v5_relat_1(k3_scmpds_6(C, D, A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k3_scmpds_6(C, D, A, B)))  &  (v1_funct_1(k3_scmpds_6(C, D, A, B)) &  (v1_finset_1(k3_scmpds_6(C, D, A, B)) &  (v1_afinsq_1(k3_scmpds_6(C, D, A, B)) & v2_compos_1(k3_scmpds_6(C, D, A, B), k1_scmpds_2)) ) ) ) ) ) ) ) ) ).
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_ordinal1, axiom,  (! [A] :  (v3_ordinal1(A) => v3_ordinal1(k6_ordinal1(A))) ) ).
fof(fc13_scmpds_4, axiom,  (! [A, B] :  ( ( (v4_scmpds_4(A) & m1_subset_1(A, u1_compos_1(k1_scmpds_2)))  &  (v4_scmpds_4(B) & m1_subset_1(B, u1_compos_1(k1_scmpds_2))) )  =>  (v1_relat_1(k4_scmpds_4(A, B)) &  (v4_relat_1(k4_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k4_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k4_scmpds_4(A, B)))  &  (v1_funct_1(k4_scmpds_4(A, B)) &  (v1_finset_1(k4_scmpds_4(A, B)) &  (v1_afinsq_1(k4_scmpds_4(A, B)) & v3_scmpds_4(k4_scmpds_4(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc13_scmpds_5, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  => v6_compos_0(k16_scmpds_2(A, B, C, D), u1_compos_1(k1_scmpds_2))) ) ).
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_ordinal1, axiom,  (! [A] :  ( (v3_ordinal1(A) & v8_ordinal1(A))  => v1_xboole_0(k6_ordinal1(A))) ) ).
fof(fc14_xreal_0, axiom,  (! [A, B] :  ( ( (v3_xxreal_0(A) & v1_xreal_0(A))  &  ( ~ (v2_xxreal_0(B))  & v1_xreal_0(B)) )  => v3_xxreal_0(k2_xcmplx_0(B, A))) ) ).
fof(fc15_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_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_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)) )  => v1_scmpds_5(k10_scmpds_2(A, B, C))) ) ).
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_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)) )  => v1_scmpds_5(k11_scmpds_2(A, B, C))) ) ).
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_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_scpqsort, axiom,  (! [A, B, C, D] :  ( ( (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_ami_2(C) & m1_subset_1(C, u1_struct_0(k1_scmpds_2)))  & v1_int_1(D)) ) )  =>  (v1_relat_1(k3_scmpds_6(C, D, A, B)) &  (v4_relat_1(k3_scmpds_6(C, D, A, B), k4_ordinal1) &  (v5_relat_1(k3_scmpds_6(C, D, A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k3_scmpds_6(C, D, A, B)))  &  (v1_funct_1(k3_scmpds_6(C, D, A, B)) &  (v1_finset_1(k3_scmpds_6(C, D, A, B)) &  (v1_afinsq_1(k3_scmpds_6(C, D, A, B)) & v3_scmpds_4(k3_scmpds_6(C, D, A, B))) ) ) ) ) ) ) ) ) ).
fof(fc20_scmpds_5, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  => v1_scmpds_5(k13_scmpds_2(A, B, C, D))) ) ).
fof(fc23_scmpds_5, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  => v1_scmpds_5(k16_scmpds_2(A, B, C, D))) ) ).
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(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(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(fc28_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)))  &  (v6_compos_0(B, u1_compos_1(k1_scmpds_2)) & m1_subset_1(B, u1_compos_1(k1_scmpds_2))) )  =>  (v1_relat_1(k4_scmpds_4(A, B)) &  (v4_relat_1(k4_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k4_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k4_scmpds_4(A, B)))  &  (v1_funct_1(k4_scmpds_4(A, B)) &  (v1_finset_1(k4_scmpds_4(A, B)) &  (v1_afinsq_1(k4_scmpds_4(A, B)) & v2_compos_1(k4_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_ami_3, axiom,  ( ~ (v2_struct_0(k1_ami_3))  & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
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_4, 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)) )  => v4_scmpds_4(k10_scmpds_2(A, B, C))) ) ).
fof(fc31_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)) ) ) ) ) ) )  &  (v4_scmpds_4(B) &  (v1_scmpds_5(B) & 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_scmpds_4(k3_scmpds_4(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc32_scmpds_5, axiom,  (! [A, B] :  ( ( (v1_scmpds_5(A) & m1_subset_1(A, u1_compos_1(k1_scmpds_2)))  &  (v4_scmpds_4(B) &  (v1_scmpds_5(B) & m1_subset_1(B, u1_compos_1(k1_scmpds_2))) ) )  =>  (v1_relat_1(k4_scmpds_4(A, B)) &  (v4_relat_1(k4_scmpds_4(A, B), k4_ordinal1) &  (v5_relat_1(k4_scmpds_4(A, B), u1_compos_1(k1_scmpds_2)) &  ( ~ (v1_xboole_0(k4_scmpds_4(A, B)))  &  (v1_funct_1(k4_scmpds_4(A, B)) &  (v1_finset_1(k4_scmpds_4(A, B)) &  (v1_afinsq_1(k4_scmpds_4(A, B)) & v2_scmpds_4(k4_scmpds_4(A, B))) ) ) ) ) ) ) ) ) ).
fof(fc3_ami_3, axiom,  (v2_memstr_0(k1_ami_3, k5_card_1(2)) & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(fc3_int_1, axiom,  (! [A] :  (v1_int_1(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_int_1(k4_xcmplx_0(A))) ) ) ).
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_4, 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)) )  => v4_scmpds_4(k11_scmpds_2(A, B, C))) ) ).
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_xreal_0, axiom,  (! [A] :  (v1_xreal_0(A) =>  (v1_xcmplx_0(k4_xcmplx_0(A)) & v1_xreal_0(k4_xcmplx_0(A))) ) ) ).
fof(fc4_afinsq_1, axiom,  (! [A] :  ~ (v1_xboole_0(k3_afinsq_1(A))) ) ).
fof(fc4_ami_3, axiom,  (v3_memstr_0(k1_ami_3, k5_card_1(2)) & v1_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(fc4_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(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_scmpds_4, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  => v4_scmpds_4(k13_scmpds_2(A, B, C, D))) ) ).
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(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_ami_3, axiom,  (v1_extpro_1(k1_ami_3, k5_card_1(2)) & v3_extpro_1(k1_ami_3, k5_card_1(2))) ).
fof(fc6_int_1, axiom, v2_int_1(k4_xcmplx_0(1))).
fof(fc6_ordinal1, axiom,  ( ~ (v1_xboole_0(k4_ordinal1))  & v3_ordinal1(k4_ordinal1)) ).
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_int_1, axiom,  (! [A] :  (v2_int_1(A) => v7_ordinal1(k2_xcmplx_0(A, 1))) ) ).
fof(fc7_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(k10_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
fof(fc8_afinsq_1, axiom,  (! [A] :  (v1_relat_1(k3_afinsq_1(A)) & v1_funct_1(k3_afinsq_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_nat_1, axiom,  (! [A, B, C] :  ( ( (v1_funct_1(A) &  (v1_funct_2(A, k4_ordinal1, k4_ordinal1) & m1_subset_1(A, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, k4_ordinal1)))) )  &  ( ~ (v1_xboole_0(B))  &  (v1_funct_1(C) &  (v1_funct_2(C, k4_ordinal1, B) & m1_subset_1(C, k1_zfmisc_1(k2_zfmisc_1(k4_ordinal1, B)))) ) ) )  =>  (v1_relat_1(k3_relat_1(A, C)) &  (v4_relat_1(k3_relat_1(A, C), k4_ordinal1) &  (v5_relat_1(k3_relat_1(A, C), B) & v1_funct_1(k3_relat_1(A, C))) ) ) ) ) ).
fof(fc8_ordinal1, axiom, v7_ordinal1(k5_ordinal1)).
fof(fc8_relset_1, axiom,  (! [A, B, C, D] :  (m1_subset_1(D, k1_zfmisc_1(k2_zfmisc_1(k2_zfmisc_1(A, B), C))) => v1_relat_1(k9_xtuple_0(D))) ) ).
fof(fc8_scmpds_4, axiom,  (! [A, B, C, D] :  ( ( (v1_ami_2(A) & m1_subset_1(A, u1_struct_0(k1_scmpds_2)))  &  ( (v1_ami_2(B) & m1_subset_1(B, u1_struct_0(k1_scmpds_2)))  &  (v1_int_1(C) & v1_int_1(D)) ) )  => v4_scmpds_4(k16_scmpds_2(A, B, C, D))) ) ).
fof(fc8_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(k11_scmpds_2(A, B, C), u1_compos_1(k1_scmpds_2))) ) ).
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_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_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(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(l16_scpqsort, axiom, k4_card_1(k1_scmpds_4(k3_scmpds_4(k3_scmpds_4(k4_scmpds_4(k16_scmpds_2(k2_scmp_gcd, k2_scmp_gcd, 7, 5), k11_scmpds_2(k2_scmp_gcd, 5, k4_xcmplx_0(1))), k16_scmpds_2(k2_scmp_gcd, k1_scmp_gcd(4), 6, k5_numbers)), k13_scmpds_2(k2_scmp_gcd, k1_scmp_gcd(2), 6, k5_numbers)), k3_scmpds_6(k2_scmp_gcd, 6, k4_scmpds_4(k11_scmpds_2(k2_scmp_gcd, 4, k4_xcmplx_0(1)), k11_scmpds_2(k2_scmp_gcd, 7, k4_xcmplx_0(1))), k9_compos_1(k1_scmpds_2, k10_scmpds_2(k2_scmp_gcd, 5, k5_numbers)))))=9).
fof(projectivity_k1_card_1, axiom,  (! [A] : k1_card_1(k1_card_1(A))=k1_card_1(A)) ).
fof(projectivity_k4_card_1, axiom,  (! [A] :  (v1_finset_1(A) => k4_card_1(k4_card_1(A))=k4_card_1(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_ami_3, axiom,  (? [A] :  (m1_subset_1(A, u1_struct_0(k1_ami_3)) & v1_ami_2(A)) ) ).
fof(rc1_compos_0, axiom,  (? [A] :  ( ~ (v1_xboole_0(A))  & v1_compos_0(A)) ) ).
fof(rc1_extpro_1, axiom,  (! [A] :  (? [B] :  (l1_extpro_1(B, A) & v1_extpro_1(B, A)) ) ) ).
fof(rc1_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_scmpds_5, axiom,  (? [A] :  (m1_subset_1(A, u1_compos_1(k1_scmpds_2)) &  (v6_compos_0(A, u1_compos_1(k1_scmpds_2)) &  (v4_scmpds_4(A) & v1_scmpds_5(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_scmpds_4, axiom,  (? [A] :  (m1_subset_1(A, u1_compos_1(k1_scmpds_2)) & v4_scmpds_4(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_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_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_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_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_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_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(rd5_int_1, axiom,  (! [A] :  (v1_int_1(A) => k10_subset_1(A, k4_numbers)=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_k1_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)) ) ) ) ) )  &  (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)) ) ) ) ) ) )  => k1_scmpds_4(A, B)=k1_ordinal4(A, B)) ) ).
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_compos_1, axiom,  (! [A, B] :  ( (l1_compos_1(A) & m1_subset_1(B, u1_compos_1(A)))  => k9_compos_1(A, B)=k3_afinsq_1(B)) ) ).
fof(redefinition_r2_tarski, axiom,  (! [A, B] :  (r2_tarski(A, B) <=> r2_hidden(A, B)) ) ).
fof(reflexivity_r1_tarski, axiom,  (! [A, B] : r1_tarski(A, A)) ).
fof(rqRealAdd__k2_xcmplx_0__r10_r1_r11, axiom, k2_xcmplx_0(10, 1)=11).
fof(rqRealAdd__k2_xcmplx_0__r10_rm11_rm1, axiom, k2_xcmplx_0(10, k4_xcmplx_0(11))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r10_rm1_r9, axiom, k2_xcmplx_0(10, k4_xcmplx_0(1))=9).
fof(rqRealAdd__k2_xcmplx_0__r10_rm2_r8, axiom, k2_xcmplx_0(10, k4_xcmplx_0(2))=8).
fof(rqRealAdd__k2_xcmplx_0__r10_rm4_r6, axiom, k2_xcmplx_0(10, k4_xcmplx_0(4))=6).
fof(rqRealAdd__k2_xcmplx_0__r10_rm5_r5, axiom, k2_xcmplx_0(10, k4_xcmplx_0(5))=5).
fof(rqRealAdd__k2_xcmplx_0__r10_rm6_r4, axiom, k2_xcmplx_0(10, k4_xcmplx_0(6))=4).
fof(rqRealAdd__k2_xcmplx_0__r10_rm8_r2, axiom, k2_xcmplx_0(10, k4_xcmplx_0(8))=2).
fof(rqRealAdd__k2_xcmplx_0__r10_rm9_r1, axiom, k2_xcmplx_0(10, k4_xcmplx_0(9))=1).
fof(rqRealAdd__k2_xcmplx_0__r11_r2_r13, axiom, k2_xcmplx_0(11, 2)=13).
fof(rqRealAdd__k2_xcmplx_0__r11_rm10_r1, axiom, k2_xcmplx_0(11, k4_xcmplx_0(10))=1).
fof(rqRealAdd__k2_xcmplx_0__r11_rm1_r10, axiom, k2_xcmplx_0(11, k4_xcmplx_0(1))=10).
fof(rqRealAdd__k2_xcmplx_0__r11_rm2_r9, axiom, k2_xcmplx_0(11, k4_xcmplx_0(2))=9).
fof(rqRealAdd__k2_xcmplx_0__r11_rm4_r7, axiom, k2_xcmplx_0(11, k4_xcmplx_0(4))=7).
fof(rqRealAdd__k2_xcmplx_0__r11_rm5_r6, axiom, k2_xcmplx_0(11, k4_xcmplx_0(5))=6).
fof(rqRealAdd__k2_xcmplx_0__r11_rm6_r5, axiom, k2_xcmplx_0(11, k4_xcmplx_0(6))=5).
fof(rqRealAdd__k2_xcmplx_0__r11_rm7_r4, axiom, k2_xcmplx_0(11, k4_xcmplx_0(7))=4).
fof(rqRealAdd__k2_xcmplx_0__r11_rm9_r2, axiom, k2_xcmplx_0(11, k4_xcmplx_0(9))=2).
fof(rqRealAdd__k2_xcmplx_0__r13_rm2_r11, axiom, k2_xcmplx_0(13, k4_xcmplx_0(2))=11).
fof(rqRealAdd__k2_xcmplx_0__r13_rm4_r9, axiom, k2_xcmplx_0(13, k4_xcmplx_0(4))=9).
fof(rqRealAdd__k2_xcmplx_0__r13_rm5_r8, axiom, k2_xcmplx_0(13, k4_xcmplx_0(5))=8).
fof(rqRealAdd__k2_xcmplx_0__r13_rm6_r7, axiom, k2_xcmplx_0(13, k4_xcmplx_0(6))=7).
fof(rqRealAdd__k2_xcmplx_0__r13_rm8_r5, axiom, k2_xcmplx_0(13, k4_xcmplx_0(8))=5).
fof(rqRealAdd__k2_xcmplx_0__r13_rm9_r4, axiom, k2_xcmplx_0(13, k4_xcmplx_0(9))=4).
fof(rqRealAdd__k2_xcmplx_0__r1_r10_r11, axiom, k2_xcmplx_0(1, 10)=11).
fof(rqRealAdd__k2_xcmplx_0__r1_r1_r2, axiom, k2_xcmplx_0(1, 1)=2).
fof(rqRealAdd__k2_xcmplx_0__r1_r4_r5, axiom, k2_xcmplx_0(1, 4)=5).
fof(rqRealAdd__k2_xcmplx_0__r1_r5_r6, axiom, k2_xcmplx_0(1, 5)=6).
fof(rqRealAdd__k2_xcmplx_0__r1_r6_r7, axiom, k2_xcmplx_0(1, 6)=7).
fof(rqRealAdd__k2_xcmplx_0__r1_r7_r8, axiom, k2_xcmplx_0(1, 7)=8).
fof(rqRealAdd__k2_xcmplx_0__r1_r8_r9, axiom, k2_xcmplx_0(1, 8)=9).
fof(rqRealAdd__k2_xcmplx_0__r1_r9_r10, axiom, k2_xcmplx_0(1, 9)=10).
fof(rqRealAdd__k2_xcmplx_0__r1_rm10_rm9, axiom, k2_xcmplx_0(1, k4_xcmplx_0(10))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm11_rm10, axiom, k2_xcmplx_0(1, k4_xcmplx_0(11))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm2_rm1, axiom, k2_xcmplx_0(1, k4_xcmplx_0(2))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm5_rm4, axiom, k2_xcmplx_0(1, k4_xcmplx_0(5))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm6_rm5, axiom, k2_xcmplx_0(1, k4_xcmplx_0(6))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm7_rm6, axiom, k2_xcmplx_0(1, k4_xcmplx_0(7))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm8_rm7, axiom, k2_xcmplx_0(1, k4_xcmplx_0(8))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__r1_rm9_rm8, axiom, k2_xcmplx_0(1, k4_xcmplx_0(9))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r2_r11_r13, axiom, k2_xcmplx_0(2, 11)=13).
fof(rqRealAdd__k2_xcmplx_0__r2_r2_r4, axiom, k2_xcmplx_0(2, 2)=4).
fof(rqRealAdd__k2_xcmplx_0__r2_r4_r6, axiom, k2_xcmplx_0(2, 4)=6).
fof(rqRealAdd__k2_xcmplx_0__r2_r5_r7, axiom, k2_xcmplx_0(2, 5)=7).
fof(rqRealAdd__k2_xcmplx_0__r2_r6_r8, axiom, k2_xcmplx_0(2, 6)=8).
fof(rqRealAdd__k2_xcmplx_0__r2_r7_r9, axiom, k2_xcmplx_0(2, 7)=9).
fof(rqRealAdd__k2_xcmplx_0__r2_r8_r10, axiom, k2_xcmplx_0(2, 8)=10).
fof(rqRealAdd__k2_xcmplx_0__r2_r9_r11, axiom, k2_xcmplx_0(2, 9)=11).
fof(rqRealAdd__k2_xcmplx_0__r2_rm10_rm8, axiom, k2_xcmplx_0(2, k4_xcmplx_0(10))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm11_rm9, axiom, k2_xcmplx_0(2, k4_xcmplx_0(11))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm13_rm11, axiom, k2_xcmplx_0(2, k4_xcmplx_0(13))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm1_r1, axiom, k2_xcmplx_0(2, k4_xcmplx_0(1))=1).
fof(rqRealAdd__k2_xcmplx_0__r2_rm4_rm2, axiom, k2_xcmplx_0(2, k4_xcmplx_0(4))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm6_rm4, axiom, k2_xcmplx_0(2, k4_xcmplx_0(6))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm7_rm5, axiom, k2_xcmplx_0(2, k4_xcmplx_0(7))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm8_rm6, axiom, k2_xcmplx_0(2, k4_xcmplx_0(8))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r2_rm9_rm7, axiom, k2_xcmplx_0(2, k4_xcmplx_0(9))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__r4_r1_r5, axiom, k2_xcmplx_0(4, 1)=5).
fof(rqRealAdd__k2_xcmplx_0__r4_r2_r6, axiom, k2_xcmplx_0(4, 2)=6).
fof(rqRealAdd__k2_xcmplx_0__r4_r4_r8, axiom, k2_xcmplx_0(4, 4)=8).
fof(rqRealAdd__k2_xcmplx_0__r4_r5_r9, axiom, k2_xcmplx_0(4, 5)=9).
fof(rqRealAdd__k2_xcmplx_0__r4_r6_r10, axiom, k2_xcmplx_0(4, 6)=10).
fof(rqRealAdd__k2_xcmplx_0__r4_r7_r11, axiom, k2_xcmplx_0(4, 7)=11).
fof(rqRealAdd__k2_xcmplx_0__r4_r9_r13, axiom, k2_xcmplx_0(4, 9)=13).
fof(rqRealAdd__k2_xcmplx_0__r4_rm10_rm6, axiom, k2_xcmplx_0(4, k4_xcmplx_0(10))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm11_rm7, axiom, k2_xcmplx_0(4, k4_xcmplx_0(11))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm13_rm9, axiom, k2_xcmplx_0(4, k4_xcmplx_0(13))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm2_r2, axiom, k2_xcmplx_0(4, k4_xcmplx_0(2))=2).
fof(rqRealAdd__k2_xcmplx_0__r4_rm5_rm1, axiom, k2_xcmplx_0(4, k4_xcmplx_0(5))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm6_rm2, axiom, k2_xcmplx_0(4, k4_xcmplx_0(6))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm8_rm4, axiom, k2_xcmplx_0(4, k4_xcmplx_0(8))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r4_rm9_rm5, axiom, k2_xcmplx_0(4, k4_xcmplx_0(9))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r5_r1_r6, axiom, k2_xcmplx_0(5, 1)=6).
fof(rqRealAdd__k2_xcmplx_0__r5_r2_r7, axiom, k2_xcmplx_0(5, 2)=7).
fof(rqRealAdd__k2_xcmplx_0__r5_r4_r9, axiom, k2_xcmplx_0(5, 4)=9).
fof(rqRealAdd__k2_xcmplx_0__r5_r5_r10, axiom, k2_xcmplx_0(5, 5)=10).
fof(rqRealAdd__k2_xcmplx_0__r5_r6_r11, axiom, k2_xcmplx_0(5, 6)=11).
fof(rqRealAdd__k2_xcmplx_0__r5_r8_r13, axiom, k2_xcmplx_0(5, 8)=13).
fof(rqRealAdd__k2_xcmplx_0__r5_rm10_rm5, axiom, k2_xcmplx_0(5, k4_xcmplx_0(10))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm11_rm6, axiom, k2_xcmplx_0(5, k4_xcmplx_0(11))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm13_rm8, axiom, k2_xcmplx_0(5, k4_xcmplx_0(13))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm1_r4, axiom, k2_xcmplx_0(5, k4_xcmplx_0(1))=4).
fof(rqRealAdd__k2_xcmplx_0__r5_rm4_r1, axiom, k2_xcmplx_0(5, k4_xcmplx_0(4))=1).
fof(rqRealAdd__k2_xcmplx_0__r5_rm6_rm1, axiom, k2_xcmplx_0(5, k4_xcmplx_0(6))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm7_rm2, axiom, k2_xcmplx_0(5, k4_xcmplx_0(7))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r5_rm9_rm4, axiom, k2_xcmplx_0(5, k4_xcmplx_0(9))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r6_r1_r7, axiom, k2_xcmplx_0(6, 1)=7).
fof(rqRealAdd__k2_xcmplx_0__r6_r2_r8, axiom, k2_xcmplx_0(6, 2)=8).
fof(rqRealAdd__k2_xcmplx_0__r6_r4_r10, axiom, k2_xcmplx_0(6, 4)=10).
fof(rqRealAdd__k2_xcmplx_0__r6_r5_r11, axiom, k2_xcmplx_0(6, 5)=11).
fof(rqRealAdd__k2_xcmplx_0__r6_r7_r13, axiom, k2_xcmplx_0(6, 7)=13).
fof(rqRealAdd__k2_xcmplx_0__r6_rm10_rm4, axiom, k2_xcmplx_0(6, k4_xcmplx_0(10))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r6_rm11_rm5, axiom, k2_xcmplx_0(6, k4_xcmplx_0(11))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r6_rm13_rm7, axiom, k2_xcmplx_0(6, k4_xcmplx_0(13))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__r6_rm1_r5, axiom, k2_xcmplx_0(6, k4_xcmplx_0(1))=5).
fof(rqRealAdd__k2_xcmplx_0__r6_rm2_r4, axiom, k2_xcmplx_0(6, k4_xcmplx_0(2))=4).
fof(rqRealAdd__k2_xcmplx_0__r6_rm4_r2, axiom, k2_xcmplx_0(6, k4_xcmplx_0(4))=2).
fof(rqRealAdd__k2_xcmplx_0__r6_rm5_r1, axiom, k2_xcmplx_0(6, k4_xcmplx_0(5))=1).
fof(rqRealAdd__k2_xcmplx_0__r6_rm7_rm1, axiom, k2_xcmplx_0(6, k4_xcmplx_0(7))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r6_rm8_rm2, axiom, k2_xcmplx_0(6, k4_xcmplx_0(8))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r7_r1_r8, axiom, k2_xcmplx_0(7, 1)=8).
fof(rqRealAdd__k2_xcmplx_0__r7_r2_r9, axiom, k2_xcmplx_0(7, 2)=9).
fof(rqRealAdd__k2_xcmplx_0__r7_r4_r11, axiom, k2_xcmplx_0(7, 4)=11).
fof(rqRealAdd__k2_xcmplx_0__r7_r6_r13, axiom, k2_xcmplx_0(7, 6)=13).
fof(rqRealAdd__k2_xcmplx_0__r7_rm11_rm4, axiom, k2_xcmplx_0(7, k4_xcmplx_0(11))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r7_rm13_rm6, axiom, k2_xcmplx_0(7, k4_xcmplx_0(13))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__r7_rm1_r6, axiom, k2_xcmplx_0(7, k4_xcmplx_0(1))=6).
fof(rqRealAdd__k2_xcmplx_0__r7_rm2_r5, axiom, k2_xcmplx_0(7, k4_xcmplx_0(2))=5).
fof(rqRealAdd__k2_xcmplx_0__r7_rm5_r2, axiom, k2_xcmplx_0(7, k4_xcmplx_0(5))=2).
fof(rqRealAdd__k2_xcmplx_0__r7_rm6_r1, axiom, k2_xcmplx_0(7, k4_xcmplx_0(6))=1).
fof(rqRealAdd__k2_xcmplx_0__r7_rm8_rm1, axiom, k2_xcmplx_0(7, k4_xcmplx_0(8))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r7_rm9_rm2, axiom, k2_xcmplx_0(7, k4_xcmplx_0(9))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r8_r1_r9, axiom, k2_xcmplx_0(8, 1)=9).
fof(rqRealAdd__k2_xcmplx_0__r8_r2_r10, axiom, k2_xcmplx_0(8, 2)=10).
fof(rqRealAdd__k2_xcmplx_0__r8_r5_r13, axiom, k2_xcmplx_0(8, 5)=13).
fof(rqRealAdd__k2_xcmplx_0__r8_rm10_rm2, axiom, k2_xcmplx_0(8, k4_xcmplx_0(10))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r8_rm13_rm5, axiom, k2_xcmplx_0(8, k4_xcmplx_0(13))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__r8_rm1_r7, axiom, k2_xcmplx_0(8, k4_xcmplx_0(1))=7).
fof(rqRealAdd__k2_xcmplx_0__r8_rm2_r6, axiom, k2_xcmplx_0(8, k4_xcmplx_0(2))=6).
fof(rqRealAdd__k2_xcmplx_0__r8_rm4_r4, axiom, k2_xcmplx_0(8, k4_xcmplx_0(4))=4).
fof(rqRealAdd__k2_xcmplx_0__r8_rm6_r2, axiom, k2_xcmplx_0(8, k4_xcmplx_0(6))=2).
fof(rqRealAdd__k2_xcmplx_0__r8_rm7_r1, axiom, k2_xcmplx_0(8, k4_xcmplx_0(7))=1).
fof(rqRealAdd__k2_xcmplx_0__r8_rm9_rm1, axiom, k2_xcmplx_0(8, k4_xcmplx_0(9))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r9_r1_r10, axiom, k2_xcmplx_0(9, 1)=10).
fof(rqRealAdd__k2_xcmplx_0__r9_r2_r11, axiom, k2_xcmplx_0(9, 2)=11).
fof(rqRealAdd__k2_xcmplx_0__r9_r4_r13, axiom, k2_xcmplx_0(9, 4)=13).
fof(rqRealAdd__k2_xcmplx_0__r9_rm10_rm1, axiom, k2_xcmplx_0(9, k4_xcmplx_0(10))=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__r9_rm11_rm2, axiom, k2_xcmplx_0(9, k4_xcmplx_0(11))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__r9_rm13_rm4, axiom, k2_xcmplx_0(9, k4_xcmplx_0(13))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__r9_rm1_r8, axiom, k2_xcmplx_0(9, k4_xcmplx_0(1))=8).
fof(rqRealAdd__k2_xcmplx_0__r9_rm2_r7, axiom, k2_xcmplx_0(9, k4_xcmplx_0(2))=7).
fof(rqRealAdd__k2_xcmplx_0__r9_rm4_r5, axiom, k2_xcmplx_0(9, k4_xcmplx_0(4))=5).
fof(rqRealAdd__k2_xcmplx_0__r9_rm5_r4, axiom, k2_xcmplx_0(9, k4_xcmplx_0(5))=4).
fof(rqRealAdd__k2_xcmplx_0__r9_rm7_r2, axiom, k2_xcmplx_0(9, k4_xcmplx_0(7))=2).
fof(rqRealAdd__k2_xcmplx_0__r9_rm8_r1, axiom, k2_xcmplx_0(9, k4_xcmplx_0(8))=1).
fof(rqRealAdd__k2_xcmplx_0__rm10_r11_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 11)=1).
fof(rqRealAdd__k2_xcmplx_0__rm10_r1_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 1)=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r2_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 2)=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r4_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 4)=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r5_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 5)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r6_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 6)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r8_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 8)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm10_r9_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(10), 9)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm11_r10_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 10)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm11_r13_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 13)=2).
fof(rqRealAdd__k2_xcmplx_0__rm11_r4_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 4)=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm11_r6_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 6)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm11_r7_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 7)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm11_r9_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(11), 9)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm11_rm2_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(11), k4_xcmplx_0(2))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm13_r2_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 2)=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm13_r4_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 4)=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm13_r6_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 6)=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm13_r8_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 8)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm13_r9_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(13), 9)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm1_r10_r9, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 10)=9).
fof(rqRealAdd__k2_xcmplx_0__rm1_r11_r10, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 11)=10).
fof(rqRealAdd__k2_xcmplx_0__rm1_r2_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 2)=1).
fof(rqRealAdd__k2_xcmplx_0__rm1_r5_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 5)=4).
fof(rqRealAdd__k2_xcmplx_0__rm1_r6_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 6)=5).
fof(rqRealAdd__k2_xcmplx_0__rm1_r7_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 7)=6).
fof(rqRealAdd__k2_xcmplx_0__rm1_r8_r7, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 8)=7).
fof(rqRealAdd__k2_xcmplx_0__rm1_r9_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(1), 9)=8).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm10_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(10))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm1_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(1))=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm4_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(4))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm5_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(5))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm6_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(6))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm7_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(7))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm8_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(8))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm1_rm9_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(1), k4_xcmplx_0(9))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm2_r10_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 10)=8).
fof(rqRealAdd__k2_xcmplx_0__rm2_r11_r9, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 11)=9).
fof(rqRealAdd__k2_xcmplx_0__rm2_r13_r11, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 13)=11).
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_r4_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 4)=2).
fof(rqRealAdd__k2_xcmplx_0__rm2_r6_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 6)=4).
fof(rqRealAdd__k2_xcmplx_0__rm2_r7_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 7)=5).
fof(rqRealAdd__k2_xcmplx_0__rm2_r8_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 8)=6).
fof(rqRealAdd__k2_xcmplx_0__rm2_r9_r7, axiom, k2_xcmplx_0(k4_xcmplx_0(2), 9)=7).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm11_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(11))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm2_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(2))=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm4_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(4))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm5_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(5))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm6_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(6))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm7_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(7))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm8_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(8))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm2_rm9_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(2), k4_xcmplx_0(9))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r10_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 10)=6).
fof(rqRealAdd__k2_xcmplx_0__rm4_r11_r7, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 11)=7).
fof(rqRealAdd__k2_xcmplx_0__rm4_r13_r9, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 13)=9).
fof(rqRealAdd__k2_xcmplx_0__rm4_r2_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 2)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm4_r5_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 5)=1).
fof(rqRealAdd__k2_xcmplx_0__rm4_r6_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 6)=2).
fof(rqRealAdd__k2_xcmplx_0__rm4_r8_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 8)=4).
fof(rqRealAdd__k2_xcmplx_0__rm4_r9_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(4), 9)=5).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm1_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(1))=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm2_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(2))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm4_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(4))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm5_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(5))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm6_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(6))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm7_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(7))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm4_rm9_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(4), k4_xcmplx_0(9))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r10_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 10)=5).
fof(rqRealAdd__k2_xcmplx_0__rm5_r11_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 11)=6).
fof(rqRealAdd__k2_xcmplx_0__rm5_r13_r8, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 13)=8).
fof(rqRealAdd__k2_xcmplx_0__rm5_r1_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 1)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r4_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 4)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm5_r6_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 6)=1).
fof(rqRealAdd__k2_xcmplx_0__rm5_r7_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 7)=2).
fof(rqRealAdd__k2_xcmplx_0__rm5_r9_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(5), 9)=4).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm1_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(1))=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm2_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(2))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm4_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(4))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm5_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(5))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm6_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(6))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm5_rm8_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(5), k4_xcmplx_0(8))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r10_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 10)=4).
fof(rqRealAdd__k2_xcmplx_0__rm6_r11_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 11)=5).
fof(rqRealAdd__k2_xcmplx_0__rm6_r13_r7, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 13)=7).
fof(rqRealAdd__k2_xcmplx_0__rm6_r1_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 1)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r2_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 2)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r4_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 4)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r5_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 5)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm6_r7_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 7)=1).
fof(rqRealAdd__k2_xcmplx_0__rm6_r8_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(6), 8)=2).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm1_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(1))=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm2_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(2))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm4_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(4))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm5_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(5))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm6_rm7_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(6), k4_xcmplx_0(7))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r11_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 11)=4).
fof(rqRealAdd__k2_xcmplx_0__rm7_r13_r6, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 13)=6).
fof(rqRealAdd__k2_xcmplx_0__rm7_r1_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 1)=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r2_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 2)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r5_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 5)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r6_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 6)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm7_r8_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 8)=1).
fof(rqRealAdd__k2_xcmplx_0__rm7_r9_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(7), 9)=2).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm1_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(1))=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm2_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(2))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm4_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(4))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm7_rm6_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(7), k4_xcmplx_0(6))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r10_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 10)=2).
fof(rqRealAdd__k2_xcmplx_0__rm8_r13_r5, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 13)=5).
fof(rqRealAdd__k2_xcmplx_0__rm8_r1_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 1)=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r2_rm6, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 2)=k4_xcmplx_0(6)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r4_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 4)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r6_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 6)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r7_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 7)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm8_r9_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(8), 9)=1).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm1_rm9, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(1))=k4_xcmplx_0(9)).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm2_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(2))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm8_rm5_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(8), k4_xcmplx_0(5))=k4_xcmplx_0(13)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r10_r1, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 10)=1).
fof(rqRealAdd__k2_xcmplx_0__rm9_r11_r2, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 11)=2).
fof(rqRealAdd__k2_xcmplx_0__rm9_r13_r4, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 13)=4).
fof(rqRealAdd__k2_xcmplx_0__rm9_r1_rm8, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 1)=k4_xcmplx_0(8)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r2_rm7, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 2)=k4_xcmplx_0(7)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r4_rm5, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 4)=k4_xcmplx_0(5)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r5_rm4, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 5)=k4_xcmplx_0(4)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r7_rm2, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 7)=k4_xcmplx_0(2)).
fof(rqRealAdd__k2_xcmplx_0__rm9_r8_rm1, axiom, k2_xcmplx_0(k4_xcmplx_0(9), 8)=k4_xcmplx_0(1)).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm1_rm10, axiom, k2_xcmplx_0(k4_xcmplx_0(9), k4_xcmplx_0(1))=k4_xcmplx_0(10)).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm2_rm11, axiom, k2_xcmplx_0(k4_xcmplx_0(9), k4_xcmplx_0(2))=k4_xcmplx_0(11)).
fof(rqRealAdd__k2_xcmplx_0__rm9_rm4_rm13, axiom, k2_xcmplx_0(k4_xcmplx_0(9), k4_xcmplx_0(4))=k4_xcmplx_0(13)).
fof(rqRealNeg__k4_xcmplx_0__r10_rm10, axiom, k4_xcmplx_0(10)=k4_xcmplx_0(10)).
fof(rqRealNeg__k4_xcmplx_0__r11_rm11, axiom, k4_xcmplx_0(11)=k4_xcmplx_0(11)).
fof(rqRealNeg__k4_xcmplx_0__r13_rm13, axiom, k4_xcmplx_0(13)=k4_xcmplx_0(13)).
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__r4_rm4, axiom, k4_xcmplx_0(4)=k4_xcmplx_0(4)).
fof(rqRealNeg__k4_xcmplx_0__r5_rm5, axiom, k4_xcmplx_0(5)=k4_xcmplx_0(5)).
fof(rqRealNeg__k4_xcmplx_0__r6_rm6, axiom, k4_xcmplx_0(6)=k4_xcmplx_0(6)).
fof(rqRealNeg__k4_xcmplx_0__r7_rm7, axiom, k4_xcmplx_0(7)=k4_xcmplx_0(7)).
fof(rqRealNeg__k4_xcmplx_0__r8_rm8, axiom, k4_xcmplx_0(8)=k4_xcmplx_0(8)).
fof(rqRealNeg__k4_xcmplx_0__r9_rm9, axiom, k4_xcmplx_0(9)=k4_xcmplx_0(9)).
fof(rqRealNeg__k4_xcmplx_0__rm10_r10, axiom, k4_xcmplx_0(k4_xcmplx_0(10))=10).
fof(rqRealNeg__k4_xcmplx_0__rm11_r11, axiom, k4_xcmplx_0(k4_xcmplx_0(11))=11).
fof(rqRealNeg__k4_xcmplx_0__rm13_r13, axiom, k4_xcmplx_0(k4_xcmplx_0(13))=13).
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__rm4_r4, axiom, k4_xcmplx_0(k4_xcmplx_0(4))=4).
fof(rqRealNeg__k4_xcmplx_0__rm5_r5, axiom, k4_xcmplx_0(k4_xcmplx_0(5))=5).
fof(rqRealNeg__k4_xcmplx_0__rm6_r6, axiom, k4_xcmplx_0(k4_xcmplx_0(6))=6).
fof(rqRealNeg__k4_xcmplx_0__rm7_r7, axiom, k4_xcmplx_0(k4_xcmplx_0(7))=7).
fof(rqRealNeg__k4_xcmplx_0__rm8_r8, axiom, k4_xcmplx_0(k4_xcmplx_0(8))=8).
fof(rqRealNeg__k4_xcmplx_0__rm9_r9, axiom, k4_xcmplx_0(k4_xcmplx_0(9))=9).
fof(spc10_numerals, axiom,  (v2_xxreal_0(10) & m1_subset_1(10, k4_ordinal1)) ).
fof(spc11_numerals, axiom,  (v2_xxreal_0(11) & m1_subset_1(11, k4_ordinal1)) ).
fof(spc13_numerals, axiom,  (v2_xxreal_0(13) & m1_subset_1(13, k4_ordinal1)) ).
fof(spc1_numerals, axiom,  (v2_xxreal_0(1) & m1_subset_1(1, k4_ordinal1)) ).
fof(spc2_numerals, axiom,  (v2_xxreal_0(2) & m1_subset_1(2, k4_ordinal1)) ).
fof(spc4_numerals, axiom,  (v2_xxreal_0(4) & m1_subset_1(4, k4_ordinal1)) ).
fof(spc5_numerals, axiom,  (v2_xxreal_0(5) & m1_subset_1(5, k4_ordinal1)) ).
fof(spc6_arithm, axiom,  (! [A, B, C] :  ( (v1_xcmplx_0(A) &  (v1_xcmplx_0(B) & v1_xcmplx_0(C)) )  => k2_xcmplx_0(k2_xcmplx_0(A, B), C)=k2_xcmplx_0(A, k2_xcmplx_0(B, C))) ) ).
fof(spc6_numerals, axiom,  (v2_xxreal_0(6) & m1_subset_1(6, k4_ordinal1)) ).
fof(spc7_numerals, axiom,  (v2_xxreal_0(7) & m1_subset_1(7, k4_ordinal1)) ).
fof(spc8_arithm, axiom,  (! [A, B] :  ( (v1_xcmplx_0(A) & v1_xcmplx_0(B))  => k2_xcmplx_0(k4_xcmplx_0(A), k4_xcmplx_0(B))=k4_xcmplx_0(k2_xcmplx_0(A, B))) ) ).
fof(spc8_numerals, axiom,  (v2_xxreal_0(8) & m1_subset_1(8, k4_ordinal1)) ).
fof(spc9_numerals, axiom,  (v2_xxreal_0(9) & m1_subset_1(9, k4_ordinal1)) ).
fof(t17_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)) ) ) ) ) )  => k4_card_1(k2_scmpds_8(A, B, C))=k1_nat_1(k4_card_1(C), 2)) ) ) ) ) ) ).
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_subset, axiom,  (! [A] :  (! [B] :  (r2_tarski(A, B) => m1_subset_1(A, B)) ) ) ).
fof(t2_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, B) =>  (v1_xboole_0(B) | r2_tarski(A, B)) ) ) ) ).
fof(t3_subset, axiom,  (! [A] :  (! [B] :  (m1_subset_1(A, k1_zfmisc_1(B)) <=> r1_tarski(A, B)) ) ) ).
fof(t4_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ( (r2_tarski(A, B) & m1_subset_1(B, k1_zfmisc_1(C)))  => m1_subset_1(A, C)) ) ) ) ).
fof(t5_subset, axiom,  (! [A] :  (! [B] :  (! [C] :  ~ ( (r2_tarski(A, B) &  (m1_subset_1(B, k1_zfmisc_1(C)) & v1_xboole_0(C)) ) ) ) ) ) ).
