fof(t10_abian,conjecture,( ! [A] : ( m1_subset_1(A,k5_numbers) => ! [B] : ( ~ v1_xboole_0(B) => ! [C] : ( ( v1_funct_1(C) & v1_funct_2(C,B,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,B))) ) => ! [D] : ( m1_subset_1(D,B) => k3_funct_2(B,B,k1_abian(B,C,k2_nat_1(A,np__1)),D) = k3_funct_2(B,B,C,k3_funct_2(B,B,k1_abian(B,C,A),D)) ) ) ) ) )).
fof(antisymmetry_r2_hidden,axiom,( ! [A] : ! [B] : ( r2_hidden(A,B) => ~ r2_hidden(B,A) ) )).
fof(cc10_ordinal1,axiom,( ! [A] : ( v6_ordinal1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v6_ordinal1(B) ) ) )).
fof(cc10_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & v1_xxreal_2(A) ) => ( v3_membered(A) & v3_xxreal_2(A) ) ) )).
fof(cc11_membered,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k5_numbers)) => v6_membered(A) ) )).
fof(cc11_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & v2_xxreal_2(A) ) => ( v3_membered(A) & v4_xxreal_2(A) ) ) )).
fof(cc12_membered,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( m1_subset_1(B,A) => v1_xcmplx_0(B) ) ) )).
fof(cc12_xxreal_2,axiom,( ! [A] : ( ( v5_membered(A) & v5_xxreal_2(A) ) => ( v5_membered(A) & v1_finset_1(A) ) ) )).
fof(cc13_membered,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( m1_subset_1(B,A) => v1_xxreal_0(B) ) ) )).
fof(cc13_xxreal_2,axiom,( ! [A] : ( ( v6_membered(A) & v4_xxreal_2(A) ) => ( v6_membered(A) & v1_finset_1(A) & v4_xxreal_2(A) ) ) )).
fof(cc14_membered,axiom,( ! [A] : ( v3_membered(A) => ! [B] : ( m1_subset_1(B,A) => v1_xreal_0(B) ) ) )).
fof(cc14_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v5_xxreal_2(A) ) => ( v2_membered(A) & v3_membered(A) ) ) )).
fof(cc15_membered,axiom,( ! [A] : ( v4_membered(A) => ! [B] : ( m1_subset_1(B,A) => v1_rat_1(B) ) ) )).
fof(cc15_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v1_xboole_0(A) ) => ( v2_membered(A) & v6_xxreal_2(A) ) ) )).
fof(cc16_membered,axiom,( ! [A] : ( v5_membered(A) => ! [B] : ( m1_subset_1(B,A) => v1_int_1(B) ) ) )).
fof(cc16_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v1_xxreal_2(A) ) => ( v2_membered(A) & ~ v1_xboole_0(A) ) ) )).
fof(cc17_membered,axiom,( ! [A] : ( v6_membered(A) => ! [B] : ( m1_subset_1(B,A) => v7_ordinal1(B) ) ) )).
fof(cc17_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v2_xxreal_2(A) ) => ( v2_membered(A) & ~ v1_xboole_0(A) ) ) )).
fof(cc18_membered,axiom,( ! [A] : ( v1_xboole_0(A) => v6_membered(A) ) )).
fof(cc19_membered,axiom,( ! [A] : ( v1_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_membered(B) ) ) )).
fof(cc1_abian,axiom,( ! [A] : ( v2_setfam_1(A) => v1_zfmisc_1(A) ) )).
fof(cc1_finset_1,axiom,( ! [A] : ( v1_xboole_0(A) => v1_finset_1(A) ) )).
fof(cc1_funct_1,axiom,( ! [A] : ( v1_xboole_0(A) => v1_funct_1(A) ) )).
fof(cc1_membered,axiom,( ! [A] : ( v6_membered(A) => v5_membered(A) ) )).
fof(cc1_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ( v1_ordinal1(A) & v2_ordinal1(A) ) ) )).
fof(cc1_partfun1,axiom,( ! [A] : ! [B] : ( v1_xboole_0(A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => v1_partfun1(C,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_subset_1,axiom,( ! [A] : ( v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_xboole_0(B) ) ) )).
fof(cc1_xreal_0,axiom,( ! [A] : ( m1_subset_1(A,k1_numbers) => v1_xreal_0(A) ) )).
fof(cc20_membered,axiom,( ! [A] : ( v2_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v2_membered(B) ) ) )).
fof(cc21_membered,axiom,( ! [A] : ( v3_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v3_membered(B) ) ) )).
fof(cc22_membered,axiom,( ! [A] : ( v4_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v4_membered(B) ) ) )).
fof(cc23_membered,axiom,( ! [A] : ( v5_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v5_membered(B) ) ) )).
fof(cc24_membered,axiom,( ! [A] : ( v6_membered(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v6_membered(B) ) ) )).
fof(cc25_membered,axiom,( ! [A] : ( m1_subset_1(A,k5_numbers) => v6_membered(A) ) )).
fof(cc26_membered,axiom,( ! [A] : ( v1_xboole_0(A) => v7_membered(A) ) )).
fof(cc2_finset_1,axiom,( ! [A] : ( v1_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_finset_1(B) ) ) )).
fof(cc2_funct_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) ) )).
fof(cc2_int_1,axiom,( ! [A] : ( v7_ordinal1(A) => v1_int_1(A) ) )).
fof(cc2_membered,axiom,( ! [A] : ( v5_membered(A) => v4_membered(A) ) )).
fof(cc2_ordinal1,axiom,( ! [A] : ( ( v1_ordinal1(A) & v2_ordinal1(A) ) => v3_ordinal1(A) ) )).
fof(cc2_partfun1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & v1_xboole_0(B) ) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ~ v1_partfun1(C,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_setfam_1,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ~ v1_xboole_0(A) ) )).
fof(cc2_subset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( ~ v1_subset_1(B,A) => ~ v1_xboole_0(B) ) ) ) )).
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(cc2_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & ~ v1_xboole_0(A) & v1_finset_1(A) ) => ( v2_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_2(A) & v2_xxreal_2(A) ) ) )).
fof(cc3_finset_1,axiom,( ! [A] : ! [B] : ( v1_finset_1(A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) => ( ( v1_funct_1(C) & v1_funct_2(C,A,B) ) => ( v1_funct_1(C) & v1_funct_2(C,A,B) & v1_finset_1(C) ) ) ) ) )).
fof(cc3_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) ) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_funct_1(B) ) ) )).
fof(cc3_int_1,axiom,( ! [A] : ( v1_int_1(A) => v1_xreal_0(A) ) )).
fof(cc3_membered,axiom,( ! [A] : ( v4_membered(A) => v3_membered(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_subset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ( v1_xboole_0(B) => v1_subset_1(B,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) ) => ( ~ v1_xboole_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) ) ) )).
fof(cc3_xxreal_2,axiom,( ! [A] : ( ( v6_membered(A) & ~ v1_xboole_0(A) ) => ( v6_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_2(A) ) ) )).
fof(cc4_finset_1,axiom,( ! [A] : ( v1_zfmisc_1(A) => v1_finset_1(A) ) )).
fof(cc4_funct_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) ) ) )).
fof(cc4_membered,axiom,( ! [A] : ( v3_membered(A) => v2_membered(A) ) )).
fof(cc4_ordinal1,axiom,( ! [A] : ( v1_xboole_0(A) => v5_ordinal1(A) ) )).
fof(cc4_relset_1,axiom,( ! [A] : ! [B] : ( v1_xboole_0(A) => ! [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(B,A))) => v1_xboole_0(C) ) ) )).
fof(cc4_setfam_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ~ v2_setfam_1(A) ) )).
fof(cc4_subset_1,axiom,( ! [A] : ( v1_xboole_0(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => ~ v1_subset_1(B,A) ) ) )).
fof(cc4_xreal_0,axiom,( ! [A] : ( v1_xreal_0(A) => v1_xxreal_0(A) ) )).
fof(cc4_xxreal_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_xxreal_0(A) & ~ v3_xxreal_0(A) ) => ( v1_xxreal_0(A) & v2_xxreal_0(A) ) ) )).
fof(cc4_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v5_xxreal_2(A) ) => ( v2_membered(A) & v3_xxreal_2(A) & v4_xxreal_2(A) ) ) )).
fof(cc5_finset_1,axiom,( ! [A] : ( ~ v1_finset_1(A) => ~ v1_zfmisc_1(A) ) )).
fof(cc5_funct_1,axiom,( ! [A] : ( ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) ) => ( ~ v1_zfmisc_1(A) & v1_relat_1(A) & v1_funct_1(A) ) ) )).
fof(cc5_membered,axiom,( ! [A] : ( v3_membered(A) => v1_membered(A) ) )).
fof(cc5_ordinal1,axiom,( ! [A] : ( v3_ordinal1(A) => ! [B] : ( m1_subset_1(B,A) => v3_ordinal1(B) ) ) )).
fof(cc5_subset_1,axiom,( ! [A] : ( v1_zfmisc_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v1_zfmisc_1(B) ) ) )).
fof(cc5_xxreal_0,axiom,( ! [A] : ( ( v1_xxreal_0(A) & v3_xxreal_0(A) ) => ( ~ v1_xboole_0(A) & v1_xxreal_0(A) & ~ v2_xxreal_0(A) ) ) )).
fof(cc5_xxreal_2,axiom,( ! [A] : ( ( v2_membered(A) & v3_xxreal_2(A) & v4_xxreal_2(A) ) => ( v2_membered(A) & v5_xxreal_2(A) ) ) )).
fof(cc6_finset_1,axiom,( ! [A] : ( v1_xboole_0(A) => v5_finset_1(A) ) )).
fof(cc6_funct_1,axiom,( ! [A] : ( ( v1_zfmisc_1(A) & v1_relat_1(A) & v1_funct_1(A) ) => ( v1_relat_1(A) & v1_funct_1(A) & v3_funct_1(A) ) ) )).
fof(cc6_ordinal1,axiom,( ! [A] : ( v7_ordinal1(A) => v3_ordinal1(A) ) )).
fof(cc6_xxreal_0,axiom,( ! [A] : ( ( ~ v1_xboole_0(A) & v1_xxreal_0(A) & ~ v2_xxreal_0(A) ) => ( v1_xxreal_0(A) & v3_xxreal_0(A) ) ) )).
fof(cc6_xxreal_2,axiom,( ! [A] : ( ( v3_membered(A) & v1_finset_1(A) ) => ( v3_membered(A) & v5_xxreal_2(A) ) ) )).
fof(cc7_finset_1,axiom,( ! [A] : ( v5_finset_1(A) => ! [B] : ( m1_subset_1(B,A) => v1_finset_1(B) ) ) )).
fof(cc7_funct_1,axiom,( ! [A] : ( v1_xboole_0(A) => v4_funct_1(A) ) )).
fof(cc7_ordinal1,axiom,( ! [A] : ( v1_xboole_0(A) => v7_ordinal1(A) ) )).
fof(cc7_xxreal_0,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_xxreal_0(A) ) => ( v1_xxreal_0(A) & ~ v2_xxreal_0(A) & ~ v3_xxreal_0(A) ) ) )).
fof(cc7_xxreal_2,axiom,( ! [A] : ( ( v5_membered(A) & ~ v1_xboole_0(A) & v4_xxreal_2(A) ) => ( v5_membered(A) & ~ v1_xboole_0(A) & v2_xxreal_2(A) ) ) )).
fof(cc8_finset_1,axiom,( ! [A] : ( v5_finset_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v5_finset_1(B) ) ) )).
fof(cc8_funct_1,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( m1_subset_1(B,A) => ( v1_relat_1(B) & v1_funct_1(B) ) ) ) )).
fof(cc8_membered,axiom,( ! [A] : ( m1_subset_1(A,k1_zfmisc_1(k1_numbers)) => v3_membered(A) ) )).
fof(cc8_ordinal1,axiom,( ! [A] : ( m1_subset_1(A,k4_ordinal1) => v7_ordinal1(A) ) )).
fof(cc8_xxreal_0,axiom,( ! [A] : ( ( v1_xxreal_0(A) & ~ v2_xxreal_0(A) & ~ v3_xxreal_0(A) ) => ( v1_xboole_0(A) & v1_xxreal_0(A) ) ) )).
fof(cc8_xxreal_2,axiom,( ! [A] : ( ( v5_membered(A) & ~ v1_xboole_0(A) & v3_xxreal_2(A) ) => ( v5_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_2(A) ) ) )).
fof(cc9_finset_1,axiom,( ! [A] : ( ( v1_xboole_0(A) & v1_relat_1(A) ) => ( v1_relat_1(A) & v2_finset_1(A) ) ) )).
fof(cc9_funct_1,axiom,( ! [A] : ( v4_funct_1(A) => ! [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) => v4_funct_1(B) ) ) )).
fof(cc9_ordinal1,axiom,( ! [A] : ( v1_xboole_0(A) => v6_ordinal1(A) ) )).
fof(cc9_xxreal_2,axiom,( ! [A] : ( v6_membered(A) => ( v6_membered(A) & v3_xxreal_2(A) ) ) )).
fof(commutativity_k1_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k5_numbers) ) => k1_nat_1(A,B) = k1_nat_1(B,A) ) )).
fof(commutativity_k2_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_numbers) & v7_ordinal1(B) ) => k2_nat_1(A,B) = k2_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(d2_xboole_0,axiom,( k1_xboole_0 = o_0_0_xboole_0 )).
fof(dt_k1_abian,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k5_numbers) ) => ( v1_funct_1(k1_abian(A,B,C)) & v1_funct_2(k1_abian(A,B,C),A,A) & m1_subset_1(k1_abian(A,B,C),k1_zfmisc_1(k2_zfmisc_1(A,A))) ) ) )).
fof(dt_k1_funct_1,axiom,( $true )).
fof(dt_k1_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k5_numbers) ) => m2_subset_1(k1_nat_1(A,B),k1_numbers,k5_numbers) ) )).
fof(dt_k1_numbers,axiom,( $true )).
fof(dt_k1_xboole_0,axiom,( $true )).
fof(dt_k1_zfmisc_1,axiom,( $true )).
fof(dt_k2_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_numbers) & v7_ordinal1(B) ) => m2_subset_1(k2_nat_1(A,B),k1_numbers,k5_numbers) ) )).
fof(dt_k2_xcmplx_0,axiom,( $true )).
fof(dt_k2_zfmisc_1,axiom,( $true )).
fof(dt_k3_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,A) ) => m1_subset_1(k3_funct_2(A,B,C,D),B) ) )).
fof(dt_k3_relat_1,axiom,( ! [A] : ! [B] : v1_relat_1(k3_relat_1(A,B)) )).
fof(dt_k4_ordinal1,axiom,( $true )).
fof(dt_k5_numbers,axiom,( m1_subset_1(k5_numbers,k1_zfmisc_1(k1_numbers)) )).
fof(dt_k9_funct_7,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v7_ordinal1(B) ) => v1_relat_1(k9_funct_7(A,B)) ) )).
fof(dt_m1_subset_1,axiom,( $true )).
fof(dt_m2_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m2_subset_1(C,A,B) => m1_subset_1(C,A) ) ) )).
fof(dt_o_0_0_xboole_0,axiom,( v1_xboole_0(o_0_0_xboole_0) )).
fof(existence_m1_subset_1,axiom,( ! [A] : ? [B] : m1_subset_1(B,A) )).
fof(existence_m2_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ? [C] : m2_subset_1(C,A,B) ) )).
fof(fc10_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ~ v1_xboole_0(k2_zfmisc_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_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(fc11_xxreal_2,axiom,( ~ v3_xxreal_2(k1_numbers) & ~ v4_xxreal_2(k1_numbers) )).
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_xreal_0,axiom,( ! [A] : ! [B] : ( ( v3_xxreal_0(A) & v1_xreal_0(A) & ~ v2_xxreal_0(B) & v1_xreal_0(B) ) => v3_xxreal_0(k2_xcmplx_0(A,B)) ) )).
fof(fc14_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_finset_1(A) & v1_finset_1(B) ) => v1_finset_1(k2_zfmisc_1(A,B)) ) )).
fof(fc14_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(fc17_finset_1,axiom,( ! [A] : ( v1_finset_1(A) => v1_finset_1(k1_zfmisc_1(A)) ) )).
fof(fc17_funct_1,axiom,( ! [A] : ! [B] : ! [C] : ( ( v4_funct_1(A) & v1_relat_1(C) & v5_relat_1(C,A) & v1_funct_1(C) ) => ( v1_relat_1(k1_funct_1(C,B)) & v1_funct_1(k1_funct_1(C,B)) ) ) )).
fof(fc17_xxreal_2,axiom,( v6_xxreal_2(k1_numbers) )).
fof(fc19_abian,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ~ v2_setfam_1(k1_zfmisc_1(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_subset_1,axiom,( ! [A] : ~ v1_xboole_0(k1_zfmisc_1(A)) )).
fof(fc1_xboole_0,axiom,( v1_xboole_0(k1_xboole_0) )).
fof(fc20_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v1_finset_1(B) ) => ( v1_relat_1(k3_relat_1(B,A)) & v1_finset_1(k3_relat_1(B,A)) ) ) )).
fof(fc2_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v1_funct_1(k3_relat_1(A,B)) ) ) )).
fof(fc31_finset_1,axiom,( ! [A] : ( v1_finset_1(A) => v5_finset_1(k1_zfmisc_1(A)) ) )).
fof(fc35_finset_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) ) => v1_finset_1(k1_funct_1(A,B)) ) )).
fof(fc3_membered,axiom,( v3_membered(k1_numbers) )).
fof(fc56_membered,axiom,( v7_membered(k1_numbers) )).
fof(fc59_membered,axiom,( v7_membered(k4_ordinal1) )).
fof(fc5_xreal_0,axiom,( ! [A] : ! [B] : ( ( v1_xreal_0(A) & v1_xreal_0(B) ) => v1_xreal_0(k2_xcmplx_0(A,B)) ) )).
fof(fc6_membered,axiom,( v6_membered(k4_ordinal1) )).
fof(fc6_ordinal1,axiom,( ~ v1_xboole_0(k4_ordinal1) & v3_ordinal1(k4_ordinal1) )).
fof(fc7_funct_1,axiom,( ! [A] : ! [B] : ( ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) & v1_relat_1(B) & v1_funct_1(B) & v2_funct_1(B) ) => ( v1_relat_1(k3_relat_1(A,B)) & v2_funct_1(k3_relat_1(A,B)) ) ) )).
fof(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(rc1_finset_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_finset_1(A) ) )).
fof(rc1_funct_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) ) )).
fof(rc1_int_1,axiom,( ? [A] : ( m1_subset_1(A,k1_numbers) & v1_xxreal_0(A) & v1_xcmplx_0(A) & v1_xreal_0(A) & v1_int_1(A) ) )).
fof(rc1_membered,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v6_membered(A) ) )).
fof(rc1_ordinal1,axiom,( ? [A] : v3_ordinal1(A) )).
fof(rc1_partfun1,axiom,( ! [A] : ! [B] : ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) ) )).
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_subset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) ) ) )).
fof(rc1_xboole_0,axiom,( ? [A] : v1_xboole_0(A) )).
fof(rc1_xreal_0,axiom,( ? [A] : v1_xreal_0(A) )).
fof(rc1_xxreal_0,axiom,( ? [A] : v1_xxreal_0(A) )).
fof(rc1_xxreal_2,axiom,( ? [A] : ( v1_membered(A) & v2_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A) & v6_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_2(A) & v2_xxreal_2(A) ) )).
fof(rc2_finset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & v1_finset_1(B) ) ) )).
fof(rc2_funct_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & v2_funct_1(A) ) )).
fof(rc2_int_1,axiom,( ? [A] : v1_int_1(A) )).
fof(rc2_membered,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v6_membered(A) ) )).
fof(rc2_ordinal1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_ordinal1(A) & v2_ordinal1(A) & v3_ordinal1(A) ) )).
fof(rc2_setfam_1,axiom,( ? [A] : ~ v2_setfam_1(A) )).
fof(rc2_subset_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_xboole_0(B) ) )).
fof(rc2_xboole_0,axiom,( ? [A] : ~ v1_xboole_0(A) )).
fof(rc2_xreal_0,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & v2_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc2_xxreal_0,axiom,( ? [A] : ( v1_xxreal_0(A) & v2_xxreal_0(A) ) )).
fof(rc2_xxreal_2,axiom,( ? [A] : ( v6_membered(A) & ~ v1_xboole_0(A) & v1_finset_1(A) ) )).
fof(rc3_finset_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v1_finset_1(A) ) )).
fof(rc3_membered,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v6_membered(A) & v7_membered(A) ) )).
fof(rc3_ordinal1,axiom,( ! [A] : ? [B] : ( v1_relat_1(B) & v5_relat_1(B,A) & v1_funct_1(B) & v5_ordinal1(B) ) )).
fof(rc3_partfun1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & ~ v1_xboole_0(C) ) ) )).
fof(rc3_setfam_1,axiom,( ! [A] : ( ~ v2_setfam_1(A) => ? [B] : ( m1_subset_1(B,A) & ~ v1_xboole_0(B) ) ) )).
fof(rc3_subset_1,axiom,( ! [A] : ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_subset_1(B,A) ) )).
fof(rc3_xreal_0,axiom,( ? [A] : ( v1_xcmplx_0(A) & v1_xxreal_0(A) & v3_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc3_xxreal_0,axiom,( ? [A] : ( v1_xxreal_0(A) & v3_xxreal_0(A) ) )).
fof(rc3_xxreal_2,axiom,( ? [A] : ( v1_membered(A) & v2_membered(A) & v3_membered(A) & v4_membered(A) & v5_membered(A) & v6_membered(A) & ~ v1_xboole_0(A) & v1_xxreal_2(A) & v5_xxreal_2(A) ) )).
fof(rc4_ordinal1,axiom,( ? [A] : v7_ordinal1(A) )).
fof(rc4_subset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & v1_subset_1(B,A) ) ) )).
fof(rc4_xreal_0,axiom,( ? [A] : ( v1_xboole_0(A) & v1_xcmplx_0(A) & v1_xxreal_0(A) & v1_xreal_0(A) ) )).
fof(rc4_xxreal_0,axiom,( ? [A] : ( v1_xboole_0(A) & v1_xxreal_0(A) ) )).
fof(rc4_xxreal_2,axiom,( ? [A] : ( v2_membered(A) & ~ v1_xboole_0(A) & v6_xxreal_2(A) ) )).
fof(rc5_finset_1,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_finset_1(C) ) )).
fof(rc5_funct_1,axiom,( ? [A] : ( v1_relat_1(A) & v1_funct_1(A) & ~ v3_funct_1(A) ) )).
fof(rc5_ordinal1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v7_ordinal1(A) ) )).
fof(rc5_subset_1,axiom,( ! [A] : ( ~ v1_xboole_0(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_xboole_0(B) & v1_zfmisc_1(B) ) ) )).
fof(rc5_xxreal_2,axiom,( ? [A] : ( v2_membered(A) & v1_xxreal_2(A) & v2_xxreal_2(A) & v6_xxreal_2(A) ) )).
fof(rc6_finset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) ) => ? [C] : ( ~ v1_xboole_0(C) & v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) & v1_finset_1(C) ) ) )).
fof(rc6_funct_1,axiom,( ! [A] : ! [B] : ? [C] : ( v1_relat_1(C) & v4_relat_1(C,A) & v5_relat_1(C,B) & v1_funct_1(C) ) )).
fof(rc6_subset_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_zfmisc_1(B) ) ) )).
fof(rc6_xxreal_2,axiom,( ? [A] : ( v2_membered(A) & ~ v1_xxreal_2(A) & v2_xxreal_2(A) & v6_xxreal_2(A) ) )).
fof(rc7_finset_1,axiom,( ! [A] : ( ~ v1_zfmisc_1(A) => ? [B] : ( m1_subset_1(B,k1_zfmisc_1(A)) & ~ v1_zfmisc_1(B) & v1_finset_1(B) ) ) )).
fof(rc7_funct_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v4_funct_1(A) ) )).
fof(rc7_xxreal_2,axiom,( ? [A] : ( v2_membered(A) & v1_xxreal_2(A) & ~ v2_xxreal_2(A) & v6_xxreal_2(A) ) )).
fof(rc8_finset_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_finset_1(A) & v5_finset_1(A) ) )).
fof(rc8_xxreal_2,axiom,( ? [A] : ( v2_membered(A) & ~ v1_xboole_0(A) & ~ v1_xxreal_2(A) & ~ v2_xxreal_2(A) & v6_xxreal_2(A) ) )).
fof(rc9_finset_1,axiom,( ? [A] : ( ~ v1_xboole_0(A) & v1_relat_1(A) & v1_funct_1(A) & v2_finset_1(A) ) )).
fof(redefinition_k1_abian,axiom,( ! [A] : ! [B] : ! [C] : ( ( v1_funct_1(B) & v1_funct_2(B,A,A) & m1_subset_1(B,k1_zfmisc_1(k2_zfmisc_1(A,A))) & m1_subset_1(C,k5_numbers) ) => k1_abian(A,B,C) = k9_funct_7(B,C) ) )).
fof(redefinition_k1_nat_1,axiom,( ! [A] : ! [B] : ( ( v7_ordinal1(A) & m1_subset_1(B,k5_numbers) ) => k1_nat_1(A,B) = k2_xcmplx_0(A,B) ) )).
fof(redefinition_k2_nat_1,axiom,( ! [A] : ! [B] : ( ( m1_subset_1(A,k5_numbers) & v7_ordinal1(B) ) => k2_nat_1(A,B) = k2_xcmplx_0(A,B) ) )).
fof(redefinition_k3_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( ~ v1_xboole_0(A) & v1_funct_1(C) & v1_funct_2(C,A,B) & m1_subset_1(C,k1_zfmisc_1(k2_zfmisc_1(A,B))) & m1_subset_1(D,A) ) => k3_funct_2(A,B,C,D) = k1_funct_1(C,D) ) )).
fof(redefinition_k5_numbers,axiom,( k5_numbers = k4_ordinal1 )).
fof(redefinition_m2_subset_1,axiom,( ! [A] : ! [B] : ( ( ~ v1_xboole_0(A) & ~ v1_xboole_0(B) & m1_subset_1(B,k1_zfmisc_1(A)) ) => ! [C] : ( m2_subset_1(C,A,B) <=> m1_subset_1(C,B) ) ) )).
fof(reflexivity_r1_tarski,axiom,( ! [A] : ! [B] : r1_tarski(A,A) )).
fof(spc1_boole,axiom,( ~ v1_xboole_0(np__1) )).
fof(spc1_numerals,axiom,( v2_xxreal_0(np__1) & m2_subset_1(np__1,k1_numbers,k5_numbers) & m1_subset_1(np__1,k5_numbers) & m1_subset_1(np__1,k1_numbers) )).
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(t15_funct_2,axiom,( ! [A] : ! [B] : ! [C] : ! [D] : ( ( v1_funct_1(D) & v1_funct_2(D,A,B) & m1_subset_1(D,k1_zfmisc_1(k2_zfmisc_1(A,B))) ) => ! [E] : ( ( v1_relat_1(E) & v1_funct_1(E) ) => ( r2_hidden(C,A) => ( B = k1_xboole_0 | k1_funct_1(k3_relat_1(D,E),C) = k1_funct_1(E,k1_funct_1(D,C)) ) ) ) ) )).
fof(t1_numerals,axiom,( m1_subset_1(k1_xboole_0,k4_ordinal1) )).
fof(t1_subset,axiom,( ! [A] : ! [B] : ( r2_hidden(A,B) => m1_subset_1(A,B) ) )).
fof(t2_subset,axiom,( ! [A] : ! [B] : ( m1_subset_1(A,B) => ( v1_xboole_0(B) | r2_hidden(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_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) ) => m1_subset_1(A,C) ) )).
fof(t5_subset,axiom,( ! [A] : ! [B] : ! [C] : ~ ( r2_hidden(A,B) & m1_subset_1(B,k1_zfmisc_1(C)) & v1_xboole_0(C) ) )).
fof(t6_boole,axiom,( ! [A] : ( v1_xboole_0(A) => A = k1_xboole_0 ) )).
fof(t71_funct_7,axiom,( ! [A] : ( v1_relat_1(A) => ! [B] : ( v7_ordinal1(B) => k9_funct_7(A,k1_nat_1(B,np__1)) = k3_relat_1(k9_funct_7(A,B),A) ) ) )).
fof(t7_boole,axiom,( ! [A] : ! [B] : ~ ( r2_hidden(A,B) & v1_xboole_0(B) ) )).
fof(t8_boole,axiom,( ! [A] : ! [B] : ~ ( v1_xboole_0(A) & A != B & v1_xboole_0(B) ) )).