% Mizar problem: e2_53_1_1,fomodel2,940,26 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(c1_53_type,type,( c1_53__fomodel2: $i )).
thf(c2_53_type,type,( c2_53__fomodel2: $i )).
thf(c3_53_type,type,( c3_53__fomodel2: $i )).
thf(k10_xtuple_0_type,type,( k10_xtuple_0: $i > $i )).
thf(k11_fomodel0_type,type,( k11_fomodel0: $i > $i > $i )).
thf(k12_finseq_1_type,type,( k12_finseq_1: $i > $i > $i )).
thf(k12_fomodel0_type,type,( k12_fomodel0: $i > $i > $i )).
thf(k13_finseq_1_type,type,( k13_finseq_1: $i > $i )).
thf(k13_fomodel0_type,type,( k13_fomodel0: $i > $i > $i )).
thf(k14_fomodel0_type,type,( k14_fomodel0: $i > $i > $i )).
thf(k15_fomodel0_type,type,( k15_fomodel0: $i > $i > $i )).
thf(k15_fomodel1_type,type,( k15_fomodel1: $i > $i )).
thf(k15_fomodel2_type,type,( k15_fomodel2: $i > $i > $i )).
thf(k16_fomodel2_type,type,( k16_fomodel2: $i > $i > $i )).
thf(k18_fomodel2_type,type,( k18_fomodel2: $i > $i > $i > $i > $i > $i )).
thf(k1_binop_1_type,type,( k1_binop_1: $i > $i > $i > $i )).
thf(k1_card_1_type,type,( k1_card_1: $i > $i )).
thf(k1_domain_1_type,type,( k1_domain_1: $i > $i > $i > $i > $i )).
thf(k1_finseq_1_type,type,( k1_finseq_1: $i > $i )).
thf(k1_fomodel1_type,type,( k1_fomodel1: $i > $i )).
thf(k1_funct_2_type,type,( k1_funct_2: $i > $i > $i )).
thf(k1_funct_4_type,type,( k1_funct_4: $i > $i > $i )).
thf(k1_nat_1_type,type,( k1_nat_1: $i > $i > $i )).
thf(k1_numbers_type,type,( k1_numbers: $i )).
thf(k1_relset_1_type,type,( k1_relset_1: $i > $i > $i )).
thf(k1_tarski_type,type,( k1_tarski: $i > $i )).
thf(k1_xboole_0_type,type,( k1_xboole_0: $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_finseq_1_type,type,( k2_finseq_1: $i > $i )).
thf(k2_xboole_0_type,type,( k2_xboole_0: $i > $i > $i )).
thf(k2_xcmplx_0_type,type,( k2_xcmplx_0: $i > $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k37_fomodel1_type,type,( k37_fomodel1: $i > $i )).
thf(k38_fomodel1_type,type,( k38_fomodel1: $i > $i > $i )).
thf(k3_finseq_1_type,type,( k3_finseq_1: $i > $i )).
thf(k3_finseq_2_type,type,( k3_finseq_2: $i > $i )).
thf(k3_rfunct_3_type,type,( k3_rfunct_3: $i > $i > $i )).
thf(k3_xboole_0_type,type,( k3_xboole_0: $i > $i > $i )).
thf(k4_ordinal1_type,type,( k4_ordinal1: $i )).
thf(k4_partfun1_type,type,( k4_partfun1: $i > $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(k4_xboole_0_type,type,( k4_xboole_0: $i > $i > $i )).
thf(k5_finseq_1_type,type,( k5_finseq_1: $i > $i )).
thf(k5_fomodel1_type,type,( k5_fomodel1: $i > $i )).
thf(k5_numbers_type,type,( k5_numbers: $i )).
thf(k5_relat_1_type,type,( k5_relat_1: $i > $i > $i )).
thf(k6_margrel1_type,type,( k6_margrel1: $i )).
thf(k6_numbers_type,type,( k6_numbers: $i )).
thf(k6_subset_1_type,type,( k6_subset_1: $i > $i > $i )).
thf(k7_finseq_1_type,type,( k7_finseq_1: $i > $i > $i )).
thf(k8_mcart_1_type,type,( k8_mcart_1: $i > $i > $i > $i > $i )).
thf(k9_fomodel1_type,type,( k9_fomodel1: $i > $i )).
thf(k9_funct_2_type,type,( k9_funct_2: $i > $i > $i )).
thf(k9_subset_1_type,type,( k9_subset_1: $i > $i > $i > $i )).
thf(k9_xtuple_0_type,type,( k9_xtuple_0: $i > $i )).
thf(l1_fomodel1_type,type,( l1_fomodel1: $i > $o )).
thf(l1_struct_0_type,type,( l1_struct_0: $i > $o )).
thf(l2_struct_0_type,type,( l2_struct_0: $i > $o )).
thf(l3_struct_0_type,type,( l3_struct_0: $i > $o )).
thf(l4_struct_0_type,type,( l4_struct_0: $i > $o )).
thf(m1_finseq_1_type,type,( m1_finseq_1: $i > $i > $o )).
thf(m1_finseq_2_type,type,( m1_finseq_2: $i > $i > $o )).
thf(m1_funct_2_type,type,( m1_funct_2: $i > $i > $i > $o )).
thf(m1_rfunct_3_type,type,( m1_rfunct_3: $i > $i > $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(m2_finseq_1_type,type,( m2_finseq_1: $i > $i > $o )).
thf(m2_rfunct_3_type,type,( m2_rfunct_3: $i > $i > $i > $i > $o )).
thf(m2_subset_1_type,type,( m2_subset_1: $i > $i > $i > $o )).
thf(v10_fomodel1_type,type,( v10_fomodel1: $i > $i > $o )).
thf(v11_fomodel1_type,type,( v11_fomodel1: $i > $o )).
thf(v12_fomodel1_type,type,( v12_fomodel1: $i > $i > $o )).
thf(v13_fomodel1_type,type,( v13_fomodel1: $i > $i > $o )).
thf(v14_fomodel1_type,type,( v14_fomodel1: $i > $i > $i > $o )).
thf(v1_card_1_type,type,( v1_card_1: $i > $o )).
thf(v1_card_3_type,type,( v1_card_3: $i > $o )).
thf(v1_finseq_1_type,type,( v1_finseq_1: $i > $o )).
thf(v1_finset_1_type,type,( v1_finset_1: $i > $o )).
thf(v1_fomodel2_type,type,( v1_fomodel2: $i > $i > $i > $o )).
thf(v1_funcop_1_type,type,( v1_funcop_1: $i > $o )).
thf(v1_funct_1_type,type,( v1_funct_1: $i > $o )).
thf(v1_funct_2_type,type,( v1_funct_2: $i > $i > $i > $o )).
thf(v1_int_1_type,type,( v1_int_1: $i > $o )).
thf(v1_margrel1_type,type,( v1_margrel1: $i > $o )).
thf(v1_ordinal1_type,type,( v1_ordinal1: $i > $o )).
thf(v1_partfun1_type,type,( v1_partfun1: $i > $i > $o )).
thf(v1_pre_poly_type,type,( v1_pre_poly: $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v1_setfam_1_type,type,( v1_setfam_1: $i > $o )).
thf(v1_subset_1_type,type,( v1_subset_1: $i > $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_xboolean_type,type,( v1_xboolean: $i > $o )).
thf(v1_xcmplx_0_type,type,( v1_xcmplx_0: $i > $o )).
thf(v1_xreal_0_type,type,( v1_xreal_0: $i > $o )).
thf(v1_xtuple_0_type,type,( v1_xtuple_0: $i > $o )).
thf(v1_xxreal_0_type,type,( v1_xxreal_0: $i > $o )).
thf(v1_zfmisc_1_type,type,( v1_zfmisc_1: $i > $o )).
thf(v2_card_1_type,type,( v2_card_1: $i > $o )).
thf(v2_card_3_type,type,( v2_card_3: $i > $o )).
thf(v2_finseq_1_type,type,( v2_finseq_1: $i > $o )).
thf(v2_finset_1_type,type,( v2_finset_1: $i > $o )).
thf(v2_fomodel0_type,type,( v2_fomodel0: $i > $i > $i > $o )).
thf(v2_funcop_1_type,type,( v2_funcop_1: $i > $o )).
thf(v2_funct_1_type,type,( v2_funct_1: $i > $o )).
thf(v2_margrel1_type,type,( v2_margrel1: $i > $o )).
thf(v2_ordinal1_type,type,( v2_ordinal1: $i > $o )).
thf(v2_pre_poly_type,type,( v2_pre_poly: $i > $o )).
thf(v2_relat_1_type,type,( v2_relat_1: $i > $o )).
thf(v2_setfam_1_type,type,( v2_setfam_1: $i > $o )).
thf(v2_struct_0_type,type,( v2_struct_0: $i > $o )).
thf(v2_xxreal_0_type,type,( v2_xxreal_0: $i > $o )).
thf(v3_card_1_type,type,( v3_card_1: $i > $i > $o )).
thf(v3_finseq_1_type,type,( v3_finseq_1: $i > $o )).
thf(v3_fomodel0_type,type,( v3_fomodel0: $i > $i > $o )).
thf(v3_funct_1_type,type,( v3_funct_1: $i > $o )).
thf(v3_ordinal1_type,type,( v3_ordinal1: $i > $o )).
thf(v3_relat_1_type,type,( v3_relat_1: $i > $o )).
thf(v3_xxreal_0_type,type,( v3_xxreal_0: $i > $o )).
thf(v4_fomodel1_type,type,( v4_fomodel1: $i > $i > $o )).
thf(v4_funct_1_type,type,( v4_funct_1: $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $i > $i > $o )).
thf(v5_finset_1_type,type,( v5_finset_1: $i > $o )).
thf(v5_fomodel1_type,type,( v5_fomodel1: $i > $i > $o )).
thf(v5_ordinal1_type,type,( v5_ordinal1: $i > $o )).
thf(v5_relat_1_type,type,( v5_relat_1: $i > $i > $o )).
thf(v6_fomodel1_type,type,( v6_fomodel1: $i > $i > $o )).
thf(v6_ordinal1_type,type,( v6_ordinal1: $i > $o )).
thf(v6_struct_0_type,type,( v6_struct_0: $i > $o )).
thf(v7_fomodel1_type,type,( v7_fomodel1: $i > $i > $o )).
thf(v7_ordinal1_type,type,( v7_ordinal1: $i > $o )).
thf(v8_fomodel1_type,type,( v8_fomodel1: $i > $i > $o )).
thf(v8_struct_0_type,type,( v8_struct_0: $i > $o )).
thf(v9_fomodel1_type,type,( v9_fomodel1: $i > $i > $o )).
thf(cc13_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( v12_fomodel1 @ B @ A ) => ( v3_fomodel0 @ B @ ( k15_fomodel1 @ A ) ) ) ) ),file(fomodel1,cc13_fomodel1)).
thf(dt_k11_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( m1_subset_1 @ ( k11_fomodel0 @ A @ B ) @ ( k1_zfmisc_1 @ A ) ) ),file(fomodel0,k11_fomodel0)).
thf(dt_k12_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( m1_subset_1 @ ( k12_fomodel0 @ A @ B ) @ ( k1_zfmisc_1 @ B ) ) ),file(fomodel0,k12_fomodel0)).
thf(dt_k38_fomodel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ( v13_fomodel1 @ B @ A ) & ( m1_subset_1 @ B @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k15_fomodel1 @ A ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) ) => ( v7_ordinal1 @ ( k38_fomodel1 @ A @ B ) ) ) ),file(fomodel1,k38_fomodel1)).
thf(dt_k5_fomodel1,axiom,( $true ),file(fomodel1,k5_fomodel1)).
thf(cc14_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( v3_fomodel0 @ B @ ( k15_fomodel1 @ A ) ) => ( v12_fomodel1 @ B @ A ) ) ) ),file(fomodel1,cc14_fomodel1)).
thf(fc26_fomodel1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ( v1_xboole_0 @ B ) & ( v14_fomodel1 @ C @ B @ A ) & ( m1_subset_1 @ C @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k15_fomodel1 @ A ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) ) => ( v1_xboole_0 @ ( k38_fomodel1 @ A @ C ) ) ) ),file(fomodel1,fc26_fomodel1)).
thf(fc6_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ~ ( v1_xboole_0 @ ( k5_fomodel1 @ A ) ) ) ),file(fomodel1,fc6_fomodel1)).
thf(rc3_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) @ A ) ) ) ) => ? [C: $i] : ( v2_fomodel0 @ C @ A @ B ) ) ),file(fomodel0,rc3_fomodel0)).
thf(rc4_fomodel0,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( v3_fomodel0 @ B @ A ) ) ),file(fomodel0,rc4_fomodel0)).
thf(ie4_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k11_fomodel0 @ A @ B ) @ ( k3_xboole_0 @ A @ B ) ) ),file(fomodel0,ie4_fomodel0)).
thf(ie6_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k12_fomodel0 @ A @ B ) @ ( k3_xboole_0 @ A @ B ) ) ),file(fomodel0,ie6_fomodel0)).
thf(projectivity_k1_card_1,axiom,( ! [A: $i] : ( = @ ( k1_card_1 @ ( k1_card_1 @ A ) ) @ ( k1_card_1 @ A ) ) ),file(card_1,k1_card_1)).
thf(commutativity_k1_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ( m1_subset_1 @ B @ k5_numbers ) ) => ( = @ ( k1_nat_1 @ A @ B ) @ ( k1_nat_1 @ B @ A ) ) ) ),file(nat_1,k1_nat_1)).
thf(commutativity_k3_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k3_xboole_0 @ A @ B ) @ ( k3_xboole_0 @ B @ A ) ) ),file(xboole_0,k3_xboole_0)).
thf(idempotence_k3_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k3_xboole_0 @ A @ A ) @ A ) ),file(xboole_0,k3_xboole_0)).
thf(redefinition_k1_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ( m1_subset_1 @ B @ k5_numbers ) ) => ( = @ ( k1_nat_1 @ A @ B ) @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(nat_1,k1_nat_1)).
thf(dt_k1_card_1,axiom,( ! [A: $i] : ( v1_card_1 @ ( k1_card_1 @ A ) ) ),file(card_1,k1_card_1)).
thf(dt_k1_finseq_1,axiom,( $true ),file(finseq_1,k1_finseq_1)).
thf(dt_k1_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ( m1_subset_1 @ B @ k5_numbers ) ) => ( m2_subset_1 @ ( k1_nat_1 @ A @ B ) @ k1_numbers @ k5_numbers ) ) ),file(nat_1,k1_nat_1)).
thf(dt_k3_xboole_0,axiom,( $true ),file(xboole_0,k3_xboole_0)).
thf(dt_k4_ordinal1,axiom,( $true ),file(ordinal1,k4_ordinal1)).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_0)).
thf(cc28_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k15_fomodel1 @ A ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) => ( ( v13_fomodel1 @ B @ A ) => ( v5_relat_1 @ B @ ( k5_fomodel1 @ A ) ) ) ) ) ),file(fomodel1,cc28_fomodel1)).
thf(cc4_card_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k4_ordinal1 ) => ( v1_finset_1 @ A ) ) ),file(card_1,cc4_card_1)).
thf(cc8_ordinal1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k4_ordinal1 ) => ( v7_ordinal1 @ A ) ) ),file(ordinal1,cc8_ordinal1)).
thf(fc10_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_finset_1 @ B ) => ( v1_finset_1 @ ( k3_xboole_0 @ A @ B ) ) ) ),file(finset_1,fc10_finset_1)).
thf(fc10_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_xboole_0 @ B ) ) => ( v3_fomodel0 @ ( k3_xboole_0 @ B @ A ) @ A ) ) ),file(fomodel0,fc10_fomodel0)).
thf(fc11_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_finset_1 @ A ) => ( v1_finset_1 @ ( k3_xboole_0 @ A @ B ) ) ) ),file(finset_1,fc11_finset_1)).
thf(fc1_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( ( v1_xboole_0 @ ( k1_card_1 @ A ) ) & ( v1_card_1 @ ( k1_card_1 @ A ) ) ) ) ),file(card_1,fc1_card_1)).
thf(fc1_finseq_1,axiom,( ! [A: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_xboole_0 @ A ) ) => ( v1_xboole_0 @ ( k1_finseq_1 @ A ) ) ) ),file(finseq_1,fc1_finseq_1)).
thf(fc1_pre_poly,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ~ ( v1_xboole_0 @ ( k1_finseq_1 @ ( k1_nat_1 @ A @ np__1 ) ) ) ) ),file(pre_poly,fc1_pre_poly)).
thf(fc1_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ A ) => ( v1_relat_1 @ ( k3_xboole_0 @ A @ B ) ) ) ),file(relat_1,fc1_relat_1)).
thf(fc22_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( v1_xboole_0 @ ( k3_xboole_0 @ ( k6_subset_1 @ B @ A ) @ ( k3_xboole_0 @ A @ C ) ) ) ),file(fomodel0,fc22_fomodel0)).
thf(fc23_finseq_1,axiom,( ! [A: $i] : ( ( ( v7_ordinal1 @ A ) & ~ ( v1_xboole_0 @ A ) ) => ~ ( v1_xboole_0 @ ( k1_finseq_1 @ A ) ) ) ),file(finseq_1,fc23_finseq_1)).
thf(fc2_card_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ( ~ ( v1_xboole_0 @ ( k1_card_1 @ A ) ) & ( v1_card_1 @ ( k1_card_1 @ A ) ) ) ) ),file(card_1,fc2_card_1)).
thf(fc2_finseq_1,axiom,( ! [A: $i] : ( ( ( v7_ordinal1 @ A ) & ~ ( v1_xboole_0 @ A ) ) => ~ ( v1_xboole_0 @ ( k1_finseq_1 @ A ) ) ) ),file(finseq_1,fc2_finseq_1)).
thf(fc2_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_relat_1 @ C ) ) => ( v4_relat_1 @ ( k3_xboole_0 @ B @ C ) @ A ) ) ),file(relset_1,fc2_relset_1)).
thf(fc36_fomodel1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ( v7_ordinal1 @ B ) & ( v13_fomodel1 @ C @ A ) & ( m1_subset_1 @ C @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k15_fomodel1 @ A ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) ) => ( v14_fomodel1 @ ( k13_fomodel0 @ B @ C ) @ ( k2_xcmplx_0 @ ( k38_fomodel1 @ A @ C ) @ B ) @ A ) ) ),file(fomodel1,fc36_fomodel1)).
thf(fc3_finseq_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_finset_1 @ ( k1_finseq_1 @ A ) ) ) ),file(finseq_1,fc3_finseq_1)).
thf(fc4_card_1,axiom,( v1_card_1 @ k4_ordinal1 ),file(card_1,fc4_card_1)).
thf(fc4_finseq_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v3_card_1 @ ( k1_finseq_1 @ A ) @ A ) ) ),file(finseq_1,fc4_finseq_1)).
thf(fc58_fomodel0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v1_finseq_1 @ A ) ) => ~ ( v1_xboole_0 @ ( k1_card_1 @ A ) ) ) ),file(fomodel0,fc58_fomodel0)).
thf(fc5_card_1,axiom,( v2_card_1 @ k4_ordinal1 ),file(card_1,fc5_card_1)).
thf(fc5_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_relat_1 @ C ) ) => ( v5_relat_1 @ ( k3_xboole_0 @ B @ C ) @ A ) ) ),file(relset_1,fc5_relset_1)).
thf(fc6_card_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( ( v1_finset_1 @ ( k1_card_1 @ A ) ) & ( v1_card_1 @ ( k1_card_1 @ A ) ) ) ) ),file(card_1,fc6_card_1)).
thf(fc6_ordinal1,axiom,( ~ ( v1_xboole_0 @ k4_ordinal1 ) & ( v3_ordinal1 @ k4_ordinal1 ) ),file(ordinal1,fc6_ordinal1)).
thf(fc7_card_1,axiom,( ~ ( v1_finset_1 @ k4_ordinal1 ) ),file(card_1,fc7_card_1)).
thf(fc7_margrel1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v2_margrel1 @ A ) ) => ( v2_card_3 @ ( k9_xtuple_0 @ A ) ) ) ),file(margrel1,fc7_margrel1)).
thf(fc8_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ( ~ ( v1_finset_1 @ ( k1_card_1 @ A ) ) & ( v1_card_1 @ ( k1_card_1 @ A ) ) ) ) ),file(card_1,fc8_card_1)).
thf(fc9_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( k2_zfmisc_1 @ A @ A ) @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) @ A ) ) ) & ( v1_xboole_0 @ C ) ) => ( v2_fomodel0 @ ( k3_xboole_0 @ C @ B ) @ A @ B ) ) ),file(fomodel0,fc9_fomodel0)).
thf(fc9_pre_poly,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_card_3 @ A ) & ( v1_finseq_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_card_3 @ B ) & ( v1_finseq_1 @ B ) ) => ( ( v1_relat_1 @ ( k7_finseq_1 @ A @ B ) ) & ( v1_funct_1 @ ( k7_finseq_1 @ A @ B ) ) & ( v1_card_3 @ ( k7_finseq_1 @ A @ B ) ) & ( v1_finseq_1 @ ( k7_finseq_1 @ A @ B ) ) ) ) ),file(pre_poly,fc9_pre_poly)).
thf(rc2_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ~ ( v1_xboole_0 @ C ) ) => ? [D: $i] : ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ ( k9_funct_2 @ B @ C ) ) ) ) & ~ ( v1_xboole_0 @ D ) & ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ A ) & ( v5_relat_1 @ D @ ( k9_funct_2 @ B @ C ) ) & ( v1_funct_1 @ D ) & ( v1_partfun1 @ D @ A ) & ( v1_funct_2 @ D @ A @ ( k9_funct_2 @ B @ C ) ) & ( v1_funcop_1 @ D ) & ( v2_funcop_1 @ D ) ) ) ),file(fomodel2,rc2_fomodel2)).
thf(rc2_margrel1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_margrel1 @ A ) ) ),file(margrel1,rc2_margrel1)).
thf(rc4_margrel1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v2_margrel1 @ A ) ) ),file(margrel1,rc4_margrel1)).
thf(ie3_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k3_xboole_0 @ A @ B ) @ ( k11_fomodel0 @ A @ B ) ) ),file(fomodel0,ie3_fomodel0)).
thf(ie5_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k3_xboole_0 @ A @ B ) @ ( k12_fomodel0 @ A @ B ) ) ),file(fomodel0,ie5_fomodel0)).
thf(idempotence_k1_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( = @ ( k1_funct_4 @ A @ A ) @ A ) ) ),file(funct_4,k1_funct_4)).
thf(commutativity_k2_xcmplx_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xcmplx_0 @ A ) & ( v1_xcmplx_0 @ B ) ) => ( = @ ( k2_xcmplx_0 @ A @ B ) @ ( k2_xcmplx_0 @ B @ A ) ) ) ),file(xcmplx_0,k2_xcmplx_0)).
thf(projectivity_k3_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( = @ ( k3_finseq_1 @ ( k3_finseq_1 @ A ) ) @ ( k3_finseq_1 @ A ) ) ) ),file(finseq_1,k3_finseq_1)).
thf(commutativity_k9_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) => ( = @ ( k9_subset_1 @ A @ B @ C ) @ ( k9_subset_1 @ A @ C @ B ) ) ) ),file(subset_1,k9_subset_1)).
thf(idempotence_k9_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) => ( = @ ( k9_subset_1 @ A @ B @ B ) @ B ) ) ),file(subset_1,k9_subset_1)).
thf(redefinition_k2_finseq_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( = @ ( k2_finseq_1 @ A ) @ ( k1_finseq_1 @ A ) ) ) ),file(finseq_1,k2_finseq_1)).
thf(redefinition_k3_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( = @ ( k3_finseq_1 @ A ) @ ( k1_card_1 @ A ) ) ) ),file(finseq_1,k3_finseq_1)).
thf(redefinition_k5_numbers,axiom,( = @ k5_numbers @ k4_ordinal1 ),file(numbers,k5_numbers)).
thf(redefinition_k6_numbers,axiom,( = @ k6_numbers @ k1_xboole_0 ),file(numbers,k6_numbers)).
thf(redefinition_k9_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) => ( = @ ( k9_subset_1 @ A @ B @ C ) @ ( k3_xboole_0 @ B @ C ) ) ) ),file(subset_1,k9_subset_1)).
thf(dt_k10_xtuple_0,axiom,( $true ),file(xtuple_0,k10_xtuple_0)).
thf(dt_k15_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( m1_subset_1 @ ( k15_fomodel0 @ A @ B ) @ ( k1_zfmisc_1 @ ( k2_xboole_0 @ A @ B ) ) ) ),file(fomodel0,k15_fomodel0)).
thf(dt_k1_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(funct_4,k1_funct_4)).
thf(dt_k1_numbers,axiom,( $true ),file(numbers,k1_numbers)).
thf(dt_k2_finseq_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( m1_subset_1 @ ( k2_finseq_1 @ A ) @ ( k1_zfmisc_1 @ k5_numbers ) ) ) ),file(finseq_1,k2_finseq_1)).
thf(dt_k2_xcmplx_0,axiom,( $true ),file(xcmplx_0,k2_xcmplx_0)).
thf(dt_k3_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( m2_subset_1 @ ( k3_finseq_1 @ A ) @ k1_numbers @ k5_numbers ) ) ),file(finseq_1,k3_finseq_1)).
thf(dt_k5_numbers,axiom,( m1_subset_1 @ k5_numbers @ ( k1_zfmisc_1 @ k1_numbers ) ),file(numbers,k5_numbers)).
thf(dt_k5_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ A ) => ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) ),file(relat_1,k5_relat_1)).
thf(dt_k6_numbers,axiom,( m2_subset_1 @ k6_numbers @ k1_numbers @ k5_numbers ),file(numbers,k6_numbers)).
thf(dt_k9_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) => ( m1_subset_1 @ ( k9_subset_1 @ A @ B @ C ) @ ( k1_zfmisc_1 @ A ) ) ) ),file(subset_1,k9_subset_1)).
thf(dt_l2_struct_0,axiom,( ! [A: $i] : ( ( l2_struct_0 @ A ) => ( l1_struct_0 @ A ) ) ),file(struct_0,l2_struct_0)).
thf(dt_l3_struct_0,axiom,( ! [A: $i] : ( ( l3_struct_0 @ A ) => ( l1_struct_0 @ A ) ) ),file(struct_0,l3_struct_0)).
thf(dt_m1_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_finseq_1 @ B @ A ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) ) ) ),file(finseq_1,m1_finseq_1)).
thf(cc12_fomodel0,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v3_card_1 @ B @ ( k2_xcmplx_0 @ A @ np__1 ) ) & ( v1_finseq_1 @ B ) ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) & ( v1_finseq_1 @ B ) ) ) ) ),file(fomodel0,cc12_fomodel0)).
thf(cc12_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( ( v5_fomodel1 @ B @ A ) & ( v8_fomodel1 @ B @ A ) ) => ( ( v5_fomodel1 @ B @ A ) & ( v6_fomodel1 @ B @ A ) ) ) ) ) ),file(fomodel1,cc12_fomodel1)).
thf(cc17_fomodel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ~ ( v6_struct_0 @ B ) & ( v11_fomodel1 @ B ) & ( l1_fomodel1 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k15_fomodel1 @ B ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) => ( ( v14_fomodel1 @ C @ A @ B ) => ( v13_fomodel1 @ C @ B ) ) ) ) ),file(fomodel1,cc17_fomodel1)).
thf(cc1_fomodel1,axiom,( ! [A: $i] : ( ( ( v2_xxreal_0 @ A ) & ( v1_int_1 @ A ) ) => ( ( v7_ordinal1 @ A ) & ( v1_int_1 @ A ) ) ) ),file(fomodel1,cc1_fomodel1)).
thf(cc1_real_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k1_numbers ) => ( v1_xreal_0 @ A ) ) ),file(real_1,cc1_real_1)).
thf(cc1_xcmplx_0,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k1_numbers ) => ( v1_xcmplx_0 @ A ) ) ),file(xcmplx_0,cc1_xcmplx_0)).
thf(cc1_xreal_0,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k1_numbers ) => ( v1_xreal_0 @ A ) ) ),file(xreal_0,cc1_xreal_0)).
thf(cc20_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k15_fomodel1 @ A ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) => ( ( v14_fomodel1 @ B @ k6_numbers @ A ) => ( v3_card_1 @ B @ np__1 ) ) ) ) ),file(fomodel1,cc20_fomodel1)).
thf(cc23_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( ~ ( v7_fomodel1 @ B @ A ) & ( v10_fomodel1 @ B @ A ) ) => ( ( v8_fomodel1 @ B @ A ) & ( v10_fomodel1 @ B @ A ) ) ) ) ) ),file(fomodel1,cc23_fomodel1)).
thf(cc27_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( ~ ( v5_fomodel1 @ B @ A ) & ( v9_fomodel1 @ B @ A ) ) => ( ( v4_fomodel1 @ B @ A ) & ( v9_fomodel1 @ B @ A ) ) ) ) ) ),file(fomodel1,cc27_fomodel1)).
thf(cc2_funcop_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funcop_1 @ A ) ) ) ),file(funcop_1,cc2_funcop_1)).
thf(cc2_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v1_funct_2 @ C @ A @ B ) => ( v1_partfun1 @ C @ A ) ) ) ) ),file(funct_2,cc2_funct_2)).
thf(cc2_nat_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k5_numbers ) => ~ ( v3_xxreal_0 @ A ) ) ),file(nat_1,cc2_nat_1)).
thf(cc2_ordinal1,axiom,( ! [A: $i] : ( ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc2_ordinal1)).
thf(cc3_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_finseq_1 @ B @ A ) => ( v5_relat_1 @ B @ A ) ) ),file(finseq_1,cc3_finseq_1)).
thf(cc3_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_finset_1 @ A ) => ! [C: $i] : ( ( 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 ) ) ) ) ) ),file(finset_1,cc3_finset_1)).
thf(cc3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v1_funct_2 @ C @ A @ B ) => ( v1_partfun1 @ C @ A ) ) ) ) ),file(funct_2,cc3_funct_2)).
thf(cc3_int_1,axiom,( ! [A: $i] : ( ( v1_int_1 @ A ) => ( v1_xreal_0 @ A ) ) ),file(int_1,cc3_int_1)).
thf(cc3_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ k6_margrel1 ) ) ) => ( ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) ) => ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ A @ k6_margrel1 ) & ( v1_margrel1 @ B ) ) ) ) ),file(margrel1,cc3_margrel1)).
thf(cc3_pre_poly,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_finseq_1 @ B @ ( k3_finseq_2 @ A ) ) => ( v1_pre_poly @ B ) ) ),file(pre_poly,cc3_pre_poly)).
thf(cc3_xreal_0,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ( v1_xcmplx_0 @ A ) ) ),file(xreal_0,cc3_xreal_0)).
thf(cc3_xxreal_0,axiom,( ! [A: $i] : ( ( ( v1_xxreal_0 @ A ) & ( v2_xxreal_0 @ A ) ) => ( ~ ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) & ~ ( v3_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc3_xxreal_0)).
thf(cc4_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) ) ) => ( ( v1_funct_2 @ B @ A @ A ) => ( v1_partfun1 @ B @ A ) ) ) ),file(funct_2,cc4_funct_2)).
thf(cc4_xreal_0,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ( v1_xxreal_0 @ A ) ) ),file(xreal_0,cc4_xreal_0)).
thf(cc4_xxreal_0,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) & ~ ( v3_xxreal_0 @ A ) ) => ( ( v1_xxreal_0 @ A ) & ( v2_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc4_xxreal_0)).
thf(cc5_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ B ) & ~ ( v1_xboole_0 @ C ) ) => ! [D: $i] : ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ ( k9_funct_2 @ A @ C ) ) ) ) => ( ( ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ B @ ( k9_funct_2 @ A @ C ) ) ) => ( ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ B @ ( k9_funct_2 @ A @ C ) ) & ( v1_funcop_1 @ D ) ) ) ) ) ),file(fomodel2,cc5_fomodel2)).
thf(cc5_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) => ( ~ ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ) ),file(funct_1,cc5_funct_1)).
thf(cc5_xxreal_0,axiom,( ! [A: $i] : ( ( ( v1_xxreal_0 @ A ) & ( v3_xxreal_0 @ A ) ) => ( ~ ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) & ~ ( v2_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc5_xxreal_0)).
thf(cc6_pre_poly,axiom,( ! [A: $i] : ( ( m1_finseq_1 @ A @ k5_numbers ) => ( v1_card_3 @ A ) ) ),file(pre_poly,cc6_pre_poly)).
thf(cc6_xxreal_0,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) & ~ ( v2_xxreal_0 @ A ) ) => ( ( v1_xxreal_0 @ A ) & ( v3_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc6_xxreal_0)).
thf(cc7_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_finseq_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ( v2_finseq_1 @ A ) ) ) ),file(finseq_1,cc7_finseq_1)).
thf(cc7_fomodel0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v3_relat_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ ( k1_tarski @ k1_xboole_0 ) ) ) ) ),file(fomodel0,cc7_fomodel0)).
thf(cc7_xxreal_0,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) ) => ( ( v1_xxreal_0 @ A ) & ~ ( v2_xxreal_0 @ A ) & ~ ( v3_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc7_xxreal_0)).
thf(cc8_fomodel0,axiom,( ! [A: $i] : ( ( ( v1_int_1 @ A ) & ~ ( v3_xxreal_0 @ A ) ) => ( ( v7_ordinal1 @ A ) & ( v1_int_1 @ A ) ) ) ),file(fomodel0,cc8_fomodel0)).
thf(cc8_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( v5_fomodel1 @ B @ A ) => ( v10_fomodel1 @ B @ A ) ) ) ) ),file(fomodel1,cc8_fomodel1)).
thf(cc8_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ! [C: $i] : ( ( 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_xboole_0 @ C ) & ( v1_funct_2 @ C @ A @ B ) ) ) ) ) ),file(funct_2,cc8_funct_2)).
thf(cc8_xxreal_0,axiom,( ! [A: $i] : ( ( ( v1_xxreal_0 @ A ) & ~ ( v2_xxreal_0 @ A ) & ~ ( v3_xxreal_0 @ A ) ) => ( ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) ) ) ),file(xxreal_0,cc8_xxreal_0)).
thf(cc9_fomodel0,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v3_card_1 @ B @ ( k2_xcmplx_0 @ A @ k1_xboole_0 ) ) & ( v1_finseq_1 @ B ) ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) & ( v1_finseq_1 @ B ) ) ) ) ),file(fomodel0,cc9_fomodel0)).
thf(fc10_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( v1_setfam_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(funct_1,fc10_funct_1)).
thf(fc10_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ B @ C ) ) & ( v5_relat_1 @ ( k1_funct_4 @ B @ C ) @ A ) & ( v1_funct_1 @ ( k1_funct_4 @ B @ C ) ) ) ) ),file(funct_4,fc10_funct_4)).
thf(fc10_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k9_xtuple_0 @ A ) ) ) ) => ( ~ ( v1_xboole_0 @ ( k5_relat_1 @ A @ B ) ) & ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) ) ),file(relset_1,fc10_relset_1)).
thf(fc10_xreal_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ~ ( v2_xxreal_0 @ B ) & ( v1_xreal_0 @ B ) ) => ~ ( v2_xxreal_0 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(xreal_0,fc10_xreal_0)).
thf(fc11_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v1_fomodel2 @ C @ A @ B ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ C @ ( k37_fomodel1 @ A ) ) ) & ( v5_relat_1 @ ( k5_relat_1 @ C @ ( k37_fomodel1 @ A ) ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ B ) @ ( k2_xboole_0 @ B @ k6_margrel1 ) ) ) & ( v1_funct_1 @ ( k5_relat_1 @ C @ ( k37_fomodel1 @ A ) ) ) ) ) ),file(fomodel2,fc11_fomodel2)).
thf(fc11_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_xboole_0 @ ( k10_xtuple_0 @ A ) ) ) ),file(relat_1,fc11_relat_1)).
thf(fc11_xreal_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v2_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ~ ( v3_xxreal_0 @ B ) & ( v1_xreal_0 @ B ) ) => ( v2_xxreal_0 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(xreal_0,fc11_xreal_0)).
thf(fc12_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v1_fomodel2 @ C @ A @ B ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ C @ ( k37_fomodel1 @ A ) ) ) & ( v1_funct_1 @ ( k5_relat_1 @ C @ ( k37_fomodel1 @ A ) ) ) & ( v1_fomodel2 @ ( k5_relat_1 @ C @ ( k37_fomodel1 @ A ) ) @ A @ B ) ) ) ),file(fomodel2,fc12_fomodel2)).
thf(fc12_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) ) => ( v1_zfmisc_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(funct_1,fc12_funct_1)).
thf(fc12_xreal_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v2_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ~ ( v3_xxreal_0 @ B ) & ( v1_xreal_0 @ B ) ) => ( v2_xxreal_0 @ ( k2_xcmplx_0 @ B @ A ) ) ) ),file(xreal_0,fc12_xreal_0)).
thf(fc13_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_finseq_1 @ A ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) & ( v2_finseq_1 @ ( k5_relat_1 @ A @ B ) ) ) ) ),file(finseq_1,fc13_finseq_1)).
thf(fc13_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v1_fomodel2 @ C @ A @ B ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ C @ ( k37_fomodel1 @ A ) ) ) & ( v4_relat_1 @ ( k5_relat_1 @ C @ ( k37_fomodel1 @ A ) ) @ ( k37_fomodel1 @ A ) ) & ( v1_partfun1 @ ( k5_relat_1 @ C @ ( k37_fomodel1 @ A ) ) @ ( k37_fomodel1 @ A ) ) ) ) ),file(fomodel2,fc13_fomodel2)).
thf(fc13_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) & ( v1_funcop_1 @ ( k5_relat_1 @ A @ B ) ) ) ) ),file(funcop_1,fc13_funcop_1)).
thf(fc13_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) => ~ ( v1_zfmisc_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(funct_1,fc13_funct_1)).
thf(fc13_xreal_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v3_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ~ ( v2_xxreal_0 @ B ) & ( v1_xreal_0 @ B ) ) => ( v3_xxreal_0 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(xreal_0,fc13_xreal_0)).
thf(fc14_xreal_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v3_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ~ ( v2_xxreal_0 @ B ) & ( v1_xreal_0 @ B ) ) => ( v3_xxreal_0 @ ( k2_xcmplx_0 @ B @ A ) ) ) ),file(xreal_0,fc14_xreal_0)).
thf(fc16_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) & ( v3_funct_1 @ ( k5_relat_1 @ A @ B ) ) ) ) ),file(funcop_1,fc16_funcop_1)).
thf(fc16_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_xboole_0 @ B ) ) => ( ( v1_xboole_0 @ ( k5_relat_1 @ A @ B ) ) & ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) ) ),file(relat_1,fc16_relat_1)).
thf(fc17_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ( ( v1_xboole_0 @ ( k5_relat_1 @ A @ B ) ) & ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) ) ),file(relat_1,fc17_relat_1)).
thf(fc1_int_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_int_1 @ A ) & ( v1_int_1 @ B ) ) => ( v1_int_1 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(int_1,fc1_int_1)).
thf(fc1_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ( v7_ordinal1 @ B ) ) => ( v7_ordinal1 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(nat_1,fc1_nat_1)).
thf(fc1_numbers,axiom,( ~ ( v1_xboole_0 @ k1_numbers ) ),file(numbers,fc1_numbers)).
thf(fc22_finset_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_finset_1 @ A ) ) => ( v1_finset_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(finset_1,fc22_finset_1)).
thf(fc23_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v3_relat_1 @ A ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) & ( v3_relat_1 @ ( k5_relat_1 @ A @ B ) ) ) ) ),file(relat_1,fc23_relat_1)).
thf(fc24_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_finset_1 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(finset_1,fc24_finset_1)).
thf(fc25_relat_1,axiom,( ! [A: $i] : ( ( ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) ) => ( v1_zfmisc_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(relat_1,fc25_relat_1)).
thf(fc26_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v1_finset_1 @ B ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ B @ A ) ) & ( v1_finset_1 @ ( k5_relat_1 @ B @ A ) ) ) ) ),file(finset_1,fc26_finset_1)).
thf(fc26_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ B ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ C @ A ) ) & ( v5_relat_1 @ ( k5_relat_1 @ C @ A ) @ B ) ) ) ),file(relat_1,fc26_relat_1)).
thf(fc27_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_finset_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ B @ A ) ) & ( v1_finset_1 @ ( k5_relat_1 @ B @ A ) ) ) ) ),file(finset_1,fc27_finset_1)).
thf(fc27_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ B ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ C @ A ) ) & ( v4_relat_1 @ ( k5_relat_1 @ C @ A ) @ A ) & ( v4_relat_1 @ ( k5_relat_1 @ C @ A ) @ B ) ) ) ),file(relat_1,fc27_relat_1)).
thf(fc28_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v7_ordinal1 @ A ) & ( m1_subset_1 @ B @ k5_numbers ) & ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v3_card_1 @ C @ A ) & ( v1_finseq_1 @ C ) & ( v1_relat_1 @ D ) & ( v1_funct_1 @ D ) & ( v3_card_1 @ D @ B ) & ( v1_finseq_1 @ D ) ) => ( ( v1_relat_1 @ ( k7_finseq_1 @ C @ D ) ) & ( v1_funct_1 @ ( k7_finseq_1 @ C @ D ) ) & ( v3_card_1 @ ( k7_finseq_1 @ C @ D ) @ ( k1_nat_1 @ A @ B ) ) & ( v1_finseq_1 @ ( k7_finseq_1 @ C @ D ) ) ) ) ),file(finseq_1,fc28_finseq_1)).
thf(fc2_xcmplx_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xcmplx_0 @ A ) & ( v1_xcmplx_0 @ B ) ) => ( v1_xcmplx_0 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(xcmplx_0,fc2_xcmplx_0)).
thf(fc36_finset_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v2_finset_1 @ A ) ) => ( v5_finset_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(finset_1,fc36_finset_1)).
thf(fc3_finseq_6,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) & ( v7_ordinal1 @ B ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ A @ ( k2_finseq_1 @ B ) ) ) & ( v1_finseq_1 @ ( k5_relat_1 @ A @ ( k2_finseq_1 @ B ) ) ) ) ) ),file(finseq_6,fc3_finseq_6)).
thf(fc3_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) & ~ ( v1_xboole_0 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(funct_4,fc3_funct_4)).
thf(fc3_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v7_ordinal1 @ B ) ) => ~ ( v1_xboole_0 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(nat_1,fc3_nat_1)).
thf(fc45_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v7_ordinal1 @ A ) & ( v7_ordinal1 @ B ) & ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v3_card_1 @ C @ ( k2_xcmplx_0 @ A @ B ) ) & ( v1_finseq_1 @ C ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ C @ ( k2_finseq_1 @ A ) ) ) & ( v1_funct_1 @ ( k5_relat_1 @ C @ ( k2_finseq_1 @ A ) ) ) & ( v3_card_1 @ ( k5_relat_1 @ C @ ( k2_finseq_1 @ A ) ) @ A ) & ( v1_finseq_1 @ ( k5_relat_1 @ C @ ( k2_finseq_1 @ A ) ) ) ) ) ),file(fomodel0,fc45_fomodel0)).
thf(fc46_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_partfun1 @ C @ A ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ C @ B ) ) & ( v4_relat_1 @ ( k5_relat_1 @ C @ B ) @ B ) & ( v1_partfun1 @ ( k5_relat_1 @ C @ B ) @ B ) ) ) ),file(fomodel0,fc46_fomodel0)).
thf(fc4_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ A @ ( k1_tarski @ B ) ) ) & ( v2_funct_1 @ ( k5_relat_1 @ A @ ( k1_tarski @ B ) ) ) ) ) ),file(fomodel0,fc4_fomodel0)).
thf(fc4_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ B @ A ) ) & ( v1_funct_1 @ ( k1_funct_4 @ B @ A ) ) & ~ ( v1_xboole_0 @ ( k1_funct_4 @ B @ A ) ) ) ) ),file(funct_4,fc4_funct_4)).
thf(fc4_nat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v7_ordinal1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v7_ordinal1 @ B ) ) => ~ ( v1_xboole_0 @ ( k2_xcmplx_0 @ B @ A ) ) ) ),file(nat_1,fc4_nat_1)).
thf(fc59_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ A ) => ( ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) & ( v4_relat_1 @ ( k5_relat_1 @ A @ B ) @ B ) ) ) ),file(fomodel0,fc59_fomodel0)).
thf(fc5_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v2_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(funct_4,fc5_funct_4)).
thf(fc5_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v2_card_3 @ B ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) & ( v2_margrel1 @ ( k5_relat_1 @ A @ B ) ) ) ) ),file(margrel1,fc5_margrel1)).
thf(fc5_ordinal1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v5_ordinal1 @ A ) & ( v3_ordinal1 @ B ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) & ( v5_relat_1 @ ( k5_relat_1 @ A @ B ) @ ( k10_xtuple_0 @ A ) ) & ( v5_ordinal1 @ ( k5_relat_1 @ A @ B ) ) ) ) ),file(ordinal1,fc5_ordinal1)).
thf(fc5_xreal_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xreal_0 @ A ) & ( v1_xreal_0 @ B ) ) => ( v1_xreal_0 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(xreal_0,fc5_xreal_0)).
thf(fc5_xtuple_0,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_xboole_0 @ ( k10_xtuple_0 @ A ) ) ) ),file(xtuple_0,fc5_xtuple_0)).
thf(fc6_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_funcop_1 @ B ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_4 @ A @ B ) ) & ( v1_funcop_1 @ ( k1_funct_4 @ A @ B ) ) ) ) ),file(funct_4,fc6_funct_4)).
thf(fc7_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ B @ C ) ) & ( v4_relat_1 @ ( k1_funct_4 @ B @ C ) @ A ) & ( v1_funct_1 @ ( k1_funct_4 @ B @ C ) ) ) ) ),file(funct_4,fc7_funct_4)).
thf(fc8_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ ( k5_relat_1 @ A @ B ) ) & ( v1_funct_1 @ ( k5_relat_1 @ A @ B ) ) ) ) ),file(funct_1,fc8_funct_1)).
thf(fc8_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ B @ C ) ) & ( v4_relat_1 @ ( k1_funct_4 @ B @ C ) @ A ) & ( v1_funct_1 @ ( k1_funct_4 @ B @ C ) ) & ( v1_partfun1 @ ( k1_funct_4 @ B @ C ) @ A ) ) ) ),file(funct_4,fc8_funct_4)).
thf(fc8_numbers,axiom,( ~ ( v1_finset_1 @ k1_numbers ) ),file(numbers,fc8_numbers)).
thf(fc9_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_4 @ C @ B ) ) & ( v4_relat_1 @ ( k1_funct_4 @ C @ B ) @ A ) & ( v1_funct_1 @ ( k1_funct_4 @ C @ B ) ) & ( v1_partfun1 @ ( k1_funct_4 @ C @ B ) @ A ) ) ) ),file(funct_4,fc9_funct_4)).
thf(fc9_relat_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ~ ( v1_xboole_0 @ ( k10_xtuple_0 @ A ) ) ) ),file(relat_1,fc9_relat_1)).
thf(fc9_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ ( k2_zfmisc_1 @ B @ C ) ) ) ) => ( v1_relat_1 @ ( k10_xtuple_0 @ D ) ) ) ),file(relset_1,fc9_relset_1)).
thf(fc9_xreal_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v3_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ~ ( v3_xxreal_0 @ B ) & ( v1_xreal_0 @ B ) ) => ~ ( v3_xxreal_0 @ ( k2_xcmplx_0 @ A @ B ) ) ) ),file(xreal_0,fc9_xreal_0)).
thf(rc1_card_5,axiom,( ? [A: $i] : ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) & ~ ( v1_finset_1 @ A ) & ( v1_card_1 @ A ) ) ),file(card_5,rc1_card_5)).
thf(rc1_finseq_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k5_numbers @ A ) ) ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) ) ),file(finseq_1,rc1_finseq_1)).
thf(rc1_fomodel1,axiom,( ? [A: $i] : ( ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v3_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ( v1_int_1 @ A ) ) ),file(fomodel1,rc1_fomodel1)).
thf(rc1_funcop_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) ),file(funcop_1,rc1_funcop_1)).
thf(rc1_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( 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_funct_2 @ C @ A @ B ) ) ),file(funct_2,rc1_funct_2)).
thf(rc1_int_1,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ k1_numbers ) & ( v1_xxreal_0 @ A ) & ( v1_xcmplx_0 @ A ) & ( v1_xreal_0 @ A ) & ( v1_int_1 @ A ) ) ),file(int_1,rc1_int_1)).
thf(rc1_nat_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) & ( v7_ordinal1 @ A ) & ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_card_1 @ A ) ) ),file(nat_1,rc1_nat_1)).
thf(rc1_real_1,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ k1_numbers ) & ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v2_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) ) ),file(real_1,rc1_real_1)).
thf(rc1_xcmplx_0,axiom,( ? [A: $i] : ( v1_xcmplx_0 @ A ) ),file(xcmplx_0,rc1_xcmplx_0)).
thf(rc1_xreal_0,axiom,( ? [A: $i] : ( v1_xreal_0 @ A ) ),file(xreal_0,rc1_xreal_0)).
thf(rc1_xxreal_0,axiom,( ? [A: $i] : ( v1_xxreal_0 @ A ) ),file(xxreal_0,rc1_xxreal_0)).
thf(rc2_card_1,axiom,( ? [A: $i] : ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) & ( v1_finset_1 @ A ) & ( v1_card_1 @ A ) ) ),file(card_1,rc2_card_1)).
thf(rc2_finseq_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_finseq_1 @ B @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_xboole_0 @ B ) & ( v1_finset_1 @ B ) & ( v1_finseq_1 @ B ) ) ),file(finseq_1,rc2_finseq_1)).
thf(rc2_funcop_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) ) ),file(funcop_1,rc2_funcop_1)).
thf(rc2_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funct_1 @ A ) ) ),file(funct_1,rc2_funct_1)).
thf(rc2_int_1,axiom,( ? [A: $i] : ( v1_int_1 @ A ) ),file(int_1,rc2_int_1)).
thf(rc2_nat_1,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ k1_numbers ) ) & ~ ( v1_xboole_0 @ A ) & ( v3_ordinal1 @ A ) ) ),file(nat_1,rc2_nat_1)).
thf(rc2_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) ) ),file(ordinal1,rc2_ordinal1)).
thf(rc2_relat_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ),file(relat_1,rc2_relat_1)).
thf(rc2_xcmplx_0,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_xcmplx_0 @ A ) ) ),file(xcmplx_0,rc2_xcmplx_0)).
thf(rc2_xreal_0,axiom,( ? [A: $i] : ( ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v2_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) ) ),file(xreal_0,rc2_xreal_0)).
thf(rc2_xxreal_0,axiom,( ? [A: $i] : ( ( v1_xxreal_0 @ A ) & ( v2_xxreal_0 @ A ) ) ),file(xxreal_0,rc2_xxreal_0)).
thf(rc3_finseq_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_finseq_1 @ A ) ) ),file(finseq_1,rc3_finseq_1)).
thf(rc3_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc3_funct_1)).
thf(rc3_nat_1,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ k5_numbers ) & ~ ( v1_xboole_0 @ A ) & ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) & ( v7_ordinal1 @ A ) & ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_card_1 @ A ) ) ),file(nat_1,rc3_nat_1)).
thf(rc3_xreal_0,axiom,( ? [A: $i] : ( ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v3_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) ) ),file(xreal_0,rc3_xreal_0)).
thf(rc3_xxreal_0,axiom,( ? [A: $i] : ( ( v1_xxreal_0 @ A ) & ( v3_xxreal_0 @ A ) ) ),file(xxreal_0,rc3_xxreal_0)).
thf(rc4_finseq_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_finseq_1 @ A ) & ( v2_finseq_1 @ A ) ) ),file(finseq_1,rc4_finseq_1)).
thf(rc4_funcop_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(funcop_1,rc4_funcop_1)).
thf(rc4_funct_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc4_funct_1)).
thf(rc4_xreal_0,axiom,( ? [A: $i] : ( ( v1_xboole_0 @ A ) & ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) ) ),file(xreal_0,rc4_xreal_0)).
thf(rc4_xxreal_0,axiom,( ? [A: $i] : ( ( v1_xboole_0 @ A ) & ( v1_xxreal_0 @ A ) ) ),file(xxreal_0,rc4_xxreal_0)).
thf(rc5_finseq_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_finseq_1 @ A ) & ( v2_finseq_1 @ A ) ) ),file(finseq_1,rc5_finseq_1)).
thf(rc5_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) ),file(funct_1,rc5_funct_1)).
thf(rc6_finseq_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_finseq_1 @ B @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) & ( v1_finset_1 @ B ) & ( v1_finseq_1 @ B ) & ( v2_finseq_1 @ B ) ) ) ),file(finseq_1,rc6_finseq_1)).
thf(rc7_finseq_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v3_card_1 @ B @ A ) & ( v1_finseq_1 @ B ) & ( v2_finseq_1 @ B ) ) ) ),file(finseq_1,rc7_finseq_1)).
thf(rc8_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) & ( v10_fomodel1 @ B @ A ) ) ) ),file(fomodel1,rc8_fomodel1)).
thf(rc9_finseq_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v1_finseq_1 @ B ) & ( v2_finseq_1 @ B ) ) ),file(finseq_1,rc9_finseq_1)).
thf(rc9_finset_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_finset_1 @ A ) ) ),file(finset_1,rc9_finset_1)).
thf(rc9_funct_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) ) ),file(funct_1,rc9_funct_1)).
thf(ie11_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k15_fomodel0 @ A @ B ) @ ( k13_fomodel0 @ B @ A ) ) ),file(fomodel0,ie11_fomodel0)).
thf(ie19_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) => ( = @ ( k5_relat_1 @ B @ A ) @ ( k13_fomodel0 @ A @ B ) ) ) ),file(fomodel0,ie19_fomodel0)).
thf(ie21_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ A ) ) => ( = @ ( k1_funct_4 @ B @ C ) @ ( k13_fomodel0 @ B @ C ) ) ) ),file(fomodel0,ie21_fomodel0)).
thf(ie7_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( = @ ( k9_subset_1 @ A @ A @ B ) @ ( k13_fomodel0 @ A @ B ) ) ) ),file(fomodel0,ie7_fomodel0)).
thf(rd1_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_xboole_0 @ B ) ) => ( = @ ( k1_funct_4 @ B @ A ) @ A ) ) ),file(funct_4,rd1_funct_4)).
thf(rd2_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_xboole_0 @ B ) ) => ( = @ ( k1_funct_4 @ A @ B ) @ A ) ) ),file(funct_4,rd2_funct_4)).
thf(rd3_funct_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( = @ ( k1_funct_4 @ ( k1_funct_4 @ A @ B ) @ B ) @ ( k1_funct_4 @ A @ B ) ) ) ),file(funct_4,rd3_funct_4)).
thf(rd4_relat_1,axiom,( ! [A: $i] : ( ( v1_relat_1 @ A ) => ( = @ ( k5_relat_1 @ A @ ( k9_xtuple_0 @ A ) ) @ A ) ) ),file(relat_1,rd4_relat_1)).
thf(rd5_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ A ) => ( = @ ( k5_relat_1 @ ( k5_relat_1 @ A @ B ) @ B ) @ ( k5_relat_1 @ A @ B ) ) ) ),file(relat_1,rd5_relat_1)).
thf(rd8_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) => ( = @ ( k5_relat_1 @ B @ A ) @ B ) ) ),file(relat_1,rd8_relat_1)).
thf(redefinition_m2_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m2_finseq_1 @ B @ A ) <=> ( m1_finseq_1 @ B @ A ) ) ),file(finseq_1,m2_finseq_1)).
thf(dt_k13_finseq_1,axiom,( $true ),file(finseq_1,k13_finseq_1)).
thf(dt_k13_fomodel0,axiom,( $true ),file(fomodel0,k13_fomodel0)).
thf(dt_k14_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( m1_subset_1 @ ( k14_fomodel0 @ A @ B ) @ ( k1_zfmisc_1 @ A ) ) ),file(fomodel0,k14_fomodel0)).
thf(dt_k15_fomodel2,axiom,( $true ),file(fomodel2,k15_fomodel2)).
thf(dt_k1_funct_2,axiom,( $true ),file(funct_2,k1_funct_2)).
thf(dt_k4_partfun1,axiom,( $true ),file(partfun1,k4_partfun1)).
thf(dt_k4_xboole_0,axiom,( $true ),file(xboole_0,k4_xboole_0)).
thf(dt_k5_finseq_1,axiom,( $true ),file(finseq_1,k5_finseq_1)).
thf(dt_k9_fomodel1,axiom,( $true ),file(fomodel1,k9_fomodel1)).
thf(dt_k9_xtuple_0,axiom,( $true ),file(xtuple_0,k9_xtuple_0)).
thf(dt_l4_struct_0,axiom,( ! [A: $i] : ( ( l4_struct_0 @ A ) => ( ( l2_struct_0 @ A ) & ( l3_struct_0 @ A ) ) ) ),file(struct_0,l4_struct_0)).
thf(dt_m1_finseq_2,axiom,( $true ),file(finseq_2,m1_finseq_2)).
thf(dt_m1_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_funct_2 @ C @ A @ B ) => ~ ( v1_xboole_0 @ C ) ) ),file(funct_2,m1_funct_2)).
thf(dt_m1_rfunct_3,axiom,( $true ),file(rfunct_3,m1_rfunct_3)).
thf(dt_m2_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m2_finseq_1 @ B @ A ) => ( ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k5_numbers @ A ) ) ) ) ) ),file(finseq_1,m2_finseq_1)).
thf(cc10_card_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_zfmisc_1 @ A ) ) => ( v3_card_1 @ A @ np__1 ) ) ),file(card_1,cc10_card_1)).
thf(cc10_finseq_1,axiom,( ! [A: $i] : ( ( v3_finseq_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_finseq_1 @ B ) ) ) ),file(finseq_1,cc10_finseq_1)).
thf(cc10_fomodel0,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v3_finseq_1 @ A ) ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_pre_poly @ B ) ) ) ) ),file(fomodel0,cc10_fomodel0)).
thf(cc10_ordinal1,axiom,( ! [A: $i] : ( ( v6_ordinal1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v6_ordinal1 @ B ) ) ) ),file(ordinal1,cc10_ordinal1)).
thf(cc11_finseq_1,axiom,( ! [A: $i] : ( ( v3_finseq_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v3_finseq_1 @ B ) ) ) ),file(finseq_1,cc11_finseq_1)).
thf(cc13_fomodel0,axiom,( ! [A: $i] : ( ( v3_finseq_1 @ A ) => ( v5_finset_1 @ A ) ) ),file(fomodel0,cc13_fomodel0)).
thf(cc16_fomodel0,axiom,( ! [A: $i] : ( ( v1_setfam_1 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ~ ( v1_xboole_0 @ B ) ) => ( ( v1_relat_1 @ B ) & ~ ( v3_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) ) ) ) ),file(fomodel0,cc16_fomodel0)).
thf(cc17_fomodel0,axiom,( ! [A: $i] : ( ( v1_setfam_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_setfam_1 @ B ) ) ) ),file(fomodel0,cc17_fomodel0)).
thf(cc1_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(card_1,cc1_card_1)).
thf(cc1_card_5,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(card_5,cc1_card_5)).
thf(cc1_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_xboole_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_finseq_1 @ A ) ) ) ),file(finseq_1,cc1_finseq_1)).
thf(cc1_funcop_1,axiom,( ! [A: $i] : ( ( v4_funct_1 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_funcop_1 @ B ) ) ) ) ),file(funcop_1,cc1_funcop_1)).
thf(cc1_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v1_partfun1 @ C @ A ) => ( v1_funct_2 @ C @ A @ B ) ) ) ),file(funct_2,cc1_funct_2)).
thf(cc1_nat_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( ( v3_ordinal1 @ A ) & ( v7_ordinal1 @ A ) ) ) ),file(nat_1,cc1_nat_1)).
thf(cc1_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) ) ),file(ordinal1,cc1_ordinal1)).
thf(cc1_setfam_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_setfam_1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ~ ( v1_xboole_0 @ B ) ) ) ),file(setfam_1,cc1_setfam_1)).
thf(cc1_xboolean,axiom,( ! [A: $i] : ( ( v1_xboolean @ A ) => ( v7_ordinal1 @ A ) ) ),file(xboolean,cc1_xboolean)).
thf(cc24_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( ~ ( v4_fomodel1 @ B @ A ) & ( v8_fomodel1 @ B @ A ) ) => ( ( v6_fomodel1 @ B @ A ) & ( v8_fomodel1 @ B @ A ) ) ) ) ) ),file(fomodel1,cc24_fomodel1)).
thf(cc2_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) ) ),file(finseq_1,cc2_finseq_1)).
thf(cc2_finseq_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_finseq_2 @ B @ A ) => ( v4_funct_1 @ B ) ) ),file(finseq_2,cc2_finseq_2)).
thf(cc2_finset_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_finset_1 @ B ) ) ) ),file(finset_1,cc2_finset_1)).
thf(cc2_fomodel0,axiom,( ! [A: $i] : ( ( v2_setfam_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v2_setfam_1 @ B ) ) ) ),file(fomodel0,cc2_fomodel0)).
thf(cc2_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( v9_fomodel1 @ B @ A ) => ( v10_fomodel1 @ B @ A ) ) ) ) ),file(fomodel1,cc2_fomodel1)).
thf(cc2_funct_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funct_1 @ A ) ) ) ),file(funct_1,cc2_funct_1)).
thf(cc2_int_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_int_1 @ A ) ) ),file(int_1,cc2_int_1)).
thf(cc2_relat_1,axiom,( ! [A: $i] : ( ( v1_relat_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_relat_1 @ B ) ) ) ),file(relat_1,cc2_relat_1)).
thf(cc2_setfam_1,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(setfam_1,cc2_setfam_1)).
thf(cc2_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( ~ ( v1_subset_1 @ B @ A ) => ~ ( v1_xboole_0 @ B ) ) ) ) ),file(subset_1,cc2_subset_1)).
thf(cc2_xcmplx_0,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_xcmplx_0 @ A ) ) ),file(xcmplx_0,cc2_xcmplx_0)).
thf(cc2_xreal_0,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_xreal_0 @ A ) ) ),file(xreal_0,cc2_xreal_0)).
thf(cc2_xxreal_0,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_xxreal_0 @ A ) ) ),file(xxreal_0,cc2_xxreal_0)).
thf(cc2_zfmisc_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(zfmisc_1,cc2_zfmisc_1)).
thf(cc3_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc3_card_1)).
thf(cc3_finseq_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_finseq_2 @ B @ A ) => ( v3_finseq_1 @ B ) ) ),file(finseq_2,cc3_finseq_2)).
thf(cc3_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( v7_fomodel1 @ B @ A ) => ( v5_fomodel1 @ B @ A ) ) ) ) ),file(fomodel1,cc3_fomodel1)).
thf(cc3_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ! [C: $i] : ( ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v1_fomodel2 @ C @ A @ B ) ) => ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v1_funcop_1 @ C ) ) ) ) ),file(fomodel2,cc3_fomodel2)).
thf(cc3_funcop_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_xboole_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) ) ),file(funcop_1,cc3_funcop_1)).
thf(cc3_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_funct_1 @ B ) ) ) ),file(funct_1,cc3_funct_1)).
thf(cc3_nat_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( ( v7_ordinal1 @ A ) & ~ ( v3_xxreal_0 @ A ) ) ) ),file(nat_1,cc3_nat_1)).
thf(cc3_relat_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v3_relat_1 @ A ) ) ) ),file(relat_1,cc3_relat_1)).
thf(cc3_setfam_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_setfam_1 @ A ) ) => ~ ( v2_setfam_1 @ A ) ) ),file(setfam_1,cc3_setfam_1)).
thf(cc4_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_xboole_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_finseq_1 @ A ) ) ) ),file(finseq_1,cc4_finseq_1)).
thf(cc4_finset_1,axiom,( ! [A: $i] : ( ( v1_zfmisc_1 @ A ) => ( v1_finset_1 @ A ) ) ),file(finset_1,cc4_finset_1)).
thf(cc4_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ! [C: $i] : ( ( ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ B ) ) => ( ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ A ) ) ) ) ),file(fomodel0,cc4_fomodel0)).
thf(cc4_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( v6_fomodel1 @ B @ A ) => ( v8_fomodel1 @ B @ A ) ) ) ) ),file(fomodel1,cc4_fomodel1)).
thf(cc4_funct_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) ) ) ),file(funct_1,cc4_funct_1)).
thf(cc4_pre_poly,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_pre_poly @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) ) ),file(pre_poly,cc4_pre_poly)).
thf(cc4_relat_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ) ),file(relat_1,cc4_relat_1)).
thf(cc4_setfam_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ~ ( v2_setfam_1 @ A ) ) ),file(setfam_1,cc4_setfam_1)).
thf(cc5_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_finset_1 @ A ) ) ),file(card_1,cc5_card_1)).
thf(cc5_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) ) ),file(finseq_1,cc5_finseq_1)).
thf(cc5_finset_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_zfmisc_1 @ A ) ) ),file(finset_1,cc5_finset_1)).
thf(cc5_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v3_ordinal1 @ B ) ) ) ),file(ordinal1,cc5_ordinal1)).
thf(cc5_pre_poly,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_xboole_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_pre_poly @ A ) ) ) ),file(pre_poly,cc5_pre_poly)).
thf(cc5_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ B ) ) => ( v4_relat_1 @ C @ A ) ) ) ),file(relat_1,cc5_relat_1)).
thf(cc5_subset_1,axiom,( ! [A: $i] : ( ( v1_zfmisc_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_zfmisc_1 @ B ) ) ) ),file(subset_1,cc5_subset_1)).
thf(cc6_card_1,axiom,( ! [A: $i] : ( ( ( v3_ordinal1 @ A ) & ( v1_finset_1 @ A ) ) => ( v7_ordinal1 @ A ) ) ),file(card_1,cc6_card_1)).
thf(cc6_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_finseq_1 @ A ) ) ) ),file(finseq_1,cc6_finseq_1)).
thf(cc6_fomodel0,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v5_relat_1 @ A @ ( k1_tarski @ k1_xboole_0 ) ) ) => ( ( v1_relat_1 @ A ) & ( v3_relat_1 @ A ) ) ) ),file(fomodel0,cc6_fomodel0)).
thf(cc6_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( v8_fomodel1 @ B @ A ) => ( v9_fomodel1 @ B @ A ) ) ) ) ),file(fomodel1,cc6_fomodel1)).
thf(cc6_fomodel2,axiom,( ! [A: $i] : ( ( v3_finseq_1 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_funcop_1 @ B ) ) ) ) ),file(fomodel2,cc6_fomodel2)).
thf(cc6_funct_1,axiom,( ! [A: $i] : ( ( ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) ) ) ),file(funct_1,cc6_funct_1)).
thf(cc6_ordinal1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc6_ordinal1)).
thf(cc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ B ) ) => ( v5_relat_1 @ C @ A ) ) ) ),file(relat_1,cc6_relat_1)).
thf(cc7_card_1,axiom,( ! [A: $i] : ( ( v3_card_1 @ A @ k1_xboole_0 ) => ( v1_xboole_0 @ A ) ) ),file(card_1,cc7_card_1)).
thf(cc7_finset_1,axiom,( ! [A: $i] : ( ( v5_finset_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_finset_1 @ B ) ) ) ),file(finset_1,cc7_finset_1)).
thf(cc7_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( v6_fomodel1 @ B @ A ) => ( v5_fomodel1 @ B @ A ) ) ) ) ),file(fomodel1,cc7_fomodel1)).
thf(cc7_pre_poly,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_pre_poly @ A ) ) ) ),file(pre_poly,cc7_pre_poly)).
thf(cc7_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) => ( ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) ) ) ),file(relat_1,cc7_relat_1)).
thf(cc8_finset_1,axiom,( ! [A: $i] : ( ( v5_finset_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v5_finset_1 @ B ) ) ) ),file(finset_1,cc8_finset_1)).
thf(cc8_funct_1,axiom,( ! [A: $i] : ( ( v4_funct_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) ) ) ),file(funct_1,cc8_funct_1)).
thf(cc8_pre_poly,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ! [B: $i] : ( ( ( 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 ) ) ) ) ),file(pre_poly,cc8_pre_poly)).
thf(cc8_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) ) => ( ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) ) ) ) ),file(relat_1,cc8_relat_1)).
thf(cc9_card_1,axiom,( ! [A: $i] : ( ( v3_card_1 @ A @ np__1 ) => ( ~ ( v1_xboole_0 @ A ) & ( v1_zfmisc_1 @ A ) ) ) ),file(card_1,cc9_card_1)).
thf(cc9_finseq_1,axiom,( ! [A: $i] : ( ( v3_finseq_1 @ A ) => ( v4_funct_1 @ A ) ) ),file(finseq_1,cc9_finseq_1)).
thf(cc9_finset_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v2_finset_1 @ A ) ) ) ),file(finset_1,cc9_finset_1)).
thf(cc9_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( v8_fomodel1 @ B @ A ) => ~ ( v7_fomodel1 @ B @ A ) ) ) ) ),file(fomodel1,cc9_fomodel1)).
thf(cc9_funct_1,axiom,( ! [A: $i] : ( ( v4_funct_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v4_funct_1 @ B ) ) ) ),file(funct_1,cc9_funct_1)).
thf(cc9_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_funct_2 @ C @ A @ B ) => ( v4_funct_1 @ C ) ) ),file(funct_2,cc9_funct_2)).
thf(fc10_card_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_finset_1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ~ ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(card_1,fc10_card_1)).
thf(fc10_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( v4_funct_1 @ ( k1_funct_2 @ A @ B ) ) ),file(funct_2,fc10_funct_2)).
thf(fc10_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_xboole_0 @ ( k9_xtuple_0 @ A ) ) ) ),file(relat_1,fc10_relat_1)).
thf(fc11_card_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_finset_1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ~ ( v1_finset_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) ),file(card_1,fc11_card_1)).
thf(fc12_finseq_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k13_finseq_1 @ A ) ) ),file(finseq_1,fc12_finseq_1)).
thf(fc12_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_finset_1 @ A ) => ( v1_finset_1 @ ( k4_xboole_0 @ A @ B ) ) ) ),file(finset_1,fc12_finset_1)).
thf(fc12_setfam_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_setfam_1 @ A ) & ( v1_setfam_1 @ B ) ) => ( v1_setfam_1 @ ( k2_xboole_0 @ A @ B ) ) ) ),file(setfam_1,fc12_setfam_1)).
thf(fc13_pre_poly,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( v1_pre_poly @ ( k5_finseq_1 @ A ) ) ) ),file(pre_poly,fc13_pre_poly)).
thf(fc14_card_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_card_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v3_card_1 @ B @ A ) ) => ( v3_card_1 @ ( k9_xtuple_0 @ B ) @ A ) ) ),file(card_1,fc14_card_1)).
thf(fc14_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_finset_1 @ A ) & ( v1_finset_1 @ B ) ) => ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(finset_1,fc14_finset_1)).
thf(fc14_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ~ ( v1_xboole_0 @ ( k15_fomodel2 @ A @ B ) ) ) ),file(fomodel2,fc14_fomodel2)).
thf(fc14_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( v4_funct_1 @ ( k1_tarski @ A ) ) ) ),file(funct_1,fc14_funct_1)).
thf(fc14_pre_poly,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) & ( v1_pre_poly @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) & ( v1_pre_poly @ B ) ) => ( ( v1_relat_1 @ ( k7_finseq_1 @ A @ B ) ) & ( v1_funct_1 @ ( k7_finseq_1 @ A @ B ) ) & ( v1_finseq_1 @ ( k7_finseq_1 @ A @ B ) ) & ( v1_pre_poly @ ( k7_finseq_1 @ A @ B ) ) ) ) ),file(pre_poly,fc14_pre_poly)).
thf(fc16_finseq_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k5_finseq_1 @ A ) ) ),file(finseq_1,fc16_finseq_1)).
thf(fc17_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) & ( v1_finseq_1 @ B ) ) => ( ( v1_relat_1 @ ( k7_finseq_1 @ A @ B ) ) & ( v1_funct_1 @ ( k7_finseq_1 @ A @ B ) ) & ~ ( v1_xboole_0 @ ( k7_finseq_1 @ A @ B ) ) & ( v1_finseq_1 @ ( k7_finseq_1 @ A @ B ) ) ) ) ),file(finseq_1,fc17_finseq_1)).
thf(fc17_finset_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( v1_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(finset_1,fc17_finset_1)).
thf(fc18_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) & ( v1_finseq_1 @ B ) ) => ( ( v1_relat_1 @ ( k7_finseq_1 @ B @ A ) ) & ( v1_funct_1 @ ( k7_finseq_1 @ B @ A ) ) & ~ ( v1_xboole_0 @ ( k7_finseq_1 @ B @ A ) ) & ( v1_finseq_1 @ ( k7_finseq_1 @ B @ A ) ) ) ) ),file(finseq_1,fc18_finseq_1)).
thf(fc18_funct_1,axiom,( ! [A: $i] : ( ( ~ ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ~ ( v1_zfmisc_1 @ ( k9_xtuple_0 @ A ) ) ) ),file(funct_1,fc18_funct_1)).
thf(fc19_finset_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_finset_1 @ A ) ) => ( v1_finset_1 @ ( k9_xtuple_0 @ A ) ) ) ),file(finset_1,fc19_finset_1)).
thf(fc1_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ) ),file(funct_2,fc1_funct_2)).
thf(fc1_partfun1,axiom,( ! [A: $i] : ! [B: $i] : ~ ( v1_xboole_0 @ ( k4_partfun1 @ A @ B ) ) ),file(partfun1,fc1_partfun1)).
thf(fc1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) ) => ( v4_relat_1 @ ( k2_xboole_0 @ B @ C ) @ A ) ) ),file(relset_1,fc1_relset_1)).
thf(fc22_finseq_1,axiom,( ! [A: $i] : ( v4_funct_1 @ ( k13_finseq_1 @ A ) ) ),file(finseq_1,fc22_finseq_1)).
thf(fc24_finseq_1,axiom,( ! [A: $i] : ( v3_card_1 @ ( k5_finseq_1 @ A ) @ np__1 ) ),file(finseq_1,fc24_finseq_1)).
thf(fc24_relat_1,axiom,( ! [A: $i] : ( ( ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) ) => ( v1_zfmisc_1 @ ( k9_xtuple_0 @ A ) ) ) ),file(relat_1,fc24_relat_1)).
thf(fc26_fomodel0,axiom,( ! [A: $i] : ( v1_xboole_0 @ ( k4_xboole_0 @ A @ A ) ) ),file(fomodel0,fc26_fomodel0)).
thf(fc27_finseq_1,axiom,( ! [A: $i] : ( v3_finseq_1 @ ( k13_finseq_1 @ A ) ) ),file(finseq_1,fc27_finseq_1)).
thf(fc28_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) & ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_finseq_1 @ C ) ) => ( ( v1_relat_1 @ ( k7_finseq_1 @ B @ C ) ) & ( v5_relat_1 @ ( k7_finseq_1 @ B @ C ) @ A ) & ( v1_funct_1 @ ( k7_finseq_1 @ B @ C ) ) & ( v1_finseq_1 @ ( k7_finseq_1 @ B @ C ) ) ) ) ),file(fomodel0,fc28_fomodel0)).
thf(fc2_funct_2,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_funct_2 @ A @ A ) ) ),file(funct_2,fc2_funct_2)).
thf(fc2_ramsey_1,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_finset_1 @ ( k2_xboole_0 @ A @ B ) ) ) ),file(ramsey_1,fc2_ramsey_1)).
thf(fc2_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ A ) => ( v1_relat_1 @ ( k4_xboole_0 @ A @ B ) ) ) ),file(relat_1,fc2_relat_1)).
thf(fc30_finset_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( v5_finset_1 @ ( k1_tarski @ A ) ) ) ),file(finset_1,fc30_finset_1)).
thf(fc31_finset_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( v5_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(finset_1,fc31_finset_1)).
thf(fc32_fomodel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ( v4_fomodel1 @ B @ A ) & ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) ) => ( v14_fomodel1 @ ( k5_finseq_1 @ B ) @ k6_numbers @ A ) ) ),file(fomodel1,fc32_fomodel1)).
thf(fc33_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v5_finset_1 @ A ) & ( v5_finset_1 @ B ) ) => ( v5_finset_1 @ ( k2_xboole_0 @ A @ B ) ) ) ),file(finset_1,fc33_finset_1)).
thf(fc39_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ~ ( v1_xboole_0 @ ( k9_fomodel1 @ A ) ) ) ),file(fomodel1,fc39_fomodel1)).
thf(fc3_fomodel0,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ~ ( v1_xboole_0 @ ( k4_xboole_0 @ ( k3_finseq_2 @ A ) @ ( k1_tarski @ k1_xboole_0 ) ) ) ) ),file(fomodel0,fc3_fomodel0)).
thf(fc3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_xboole_0 @ B ) ) => ( v1_xboole_0 @ ( k1_funct_2 @ A @ B ) ) ) ),file(funct_2,fc3_funct_2)).
thf(fc3_ramsey_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_finset_1 @ A ) & ( v1_finset_1 @ B ) ) => ~ ( v1_finset_1 @ ( k4_xboole_0 @ A @ B ) ) ) ),file(ramsey_1,fc3_ramsey_1)).
thf(fc3_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_relat_1 @ B ) ) => ( v1_relat_1 @ ( k2_xboole_0 @ A @ B ) ) ) ),file(relat_1,fc3_relat_1)).
thf(fc3_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_relat_1 @ C ) ) => ( v4_relat_1 @ ( k4_xboole_0 @ B @ C ) @ A ) ) ),file(relset_1,fc3_relset_1)).
thf(fc4_ordinal1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v5_ordinal1 @ A ) ) => ( v3_ordinal1 @ ( k9_xtuple_0 @ A ) ) ) ),file(ordinal1,fc4_ordinal1)).
thf(fc4_partfun1,axiom,( ! [A: $i] : ! [B: $i] : ( v4_funct_1 @ ( k4_partfun1 @ A @ B ) ) ),file(partfun1,fc4_partfun1)).
thf(fc4_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ A ) ) => ( v5_relat_1 @ ( k2_xboole_0 @ B @ C ) @ A ) ) ),file(relset_1,fc4_relset_1)).
thf(fc4_xtuple_0,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_xboole_0 @ ( k9_xtuple_0 @ A ) ) ) ),file(xtuple_0,fc4_xtuple_0)).
thf(fc50_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_xboole_0 @ ( k4_xboole_0 @ B @ A ) ) ) ),file(fomodel0,fc50_fomodel0)).
thf(fc54_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ A ) => ( v1_relat_1 @ ( k13_fomodel0 @ B @ A ) ) ) ),file(fomodel0,fc54_fomodel0)).
thf(fc55_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_funct_1 @ A ) => ( v1_funct_1 @ ( k13_fomodel0 @ B @ A ) ) ) ),file(fomodel0,fc55_fomodel0)).
thf(fc56_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( ( v1_relat_1 @ ( k13_fomodel0 @ B @ A ) ) & ( v1_finseq_1 @ ( k13_fomodel0 @ B @ A ) ) ) ) ),file(fomodel0,fc56_fomodel0)).
thf(fc57_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( ( v1_relat_1 @ ( k13_fomodel0 @ B @ A ) ) & ( v1_funct_1 @ ( k13_fomodel0 @ B @ A ) ) & ( v3_card_1 @ ( k13_fomodel0 @ B @ A ) @ ( k3_finseq_1 @ A ) ) & ( v1_finseq_1 @ ( k13_fomodel0 @ B @ A ) ) ) ) ),file(fomodel0,fc57_fomodel0)).
thf(fc60_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ B ) => ( v1_xboole_0 @ ( k13_fomodel0 @ A @ B ) ) ) ),file(fomodel0,fc60_fomodel0)).
thf(fc61_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ B ) => ( ( v1_relat_1 @ ( k13_fomodel0 @ A @ B ) ) & ( v5_relat_1 @ ( k13_fomodel0 @ A @ B ) @ A ) ) ) ),file(fomodel0,fc61_fomodel0)).
thf(fc62_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v7_ordinal1 @ A ) & ( v7_ordinal1 @ B ) & ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v3_card_1 @ C @ A ) & ( v1_finseq_1 @ C ) ) => ( ( v1_relat_1 @ ( k13_fomodel0 @ B @ C ) ) & ( v4_relat_1 @ ( k13_fomodel0 @ B @ C ) @ ( k2_finseq_1 @ ( k2_xcmplx_0 @ A @ B ) ) ) ) ) ),file(fomodel0,fc62_fomodel0)).
thf(fc63_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v7_ordinal1 @ A ) & ( v7_ordinal1 @ B ) & ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v3_card_1 @ C @ A ) & ( v1_finseq_1 @ C ) & ( v1_relat_1 @ D ) & ( v1_funct_1 @ D ) & ( v3_card_1 @ D @ B ) & ( v1_finseq_1 @ D ) ) => ( ( v1_relat_1 @ ( k7_finseq_1 @ C @ D ) ) & ( v1_funct_1 @ ( k7_finseq_1 @ C @ D ) ) & ( v3_card_1 @ ( k7_finseq_1 @ C @ D ) @ ( k2_xcmplx_0 @ A @ B ) ) & ( v1_finseq_1 @ ( k7_finseq_1 @ C @ D ) ) ) ) ),file(fomodel0,fc63_fomodel0)).
thf(fc67_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ B ) => ( ( v1_relat_1 @ ( k13_fomodel0 @ A @ B ) ) & ( v5_relat_1 @ ( k13_fomodel0 @ A @ B ) @ ( k2_xboole_0 @ A @ ( k10_xtuple_0 @ B ) ) ) ) ) ),file(fomodel0,fc67_fomodel0)).
thf(fc68_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v4_funct_1 @ A ) & ( v4_funct_1 @ B ) ) => ( v4_funct_1 @ ( k2_xboole_0 @ A @ B ) ) ) ),file(fomodel0,fc68_fomodel0)).
thf(fc6_finseq_1,axiom,( ! [A: $i] : ( ( v1_relat_1 @ ( k5_finseq_1 @ A ) ) & ( v1_funct_1 @ ( k5_finseq_1 @ A ) ) ) ),file(finseq_1,fc6_finseq_1)).
thf(fc6_margrel1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k3_finseq_2 @ A ) @ A ) ) ) ) => ( v3_finseq_1 @ ( k9_xtuple_0 @ B ) ) ) ),file(margrel1,fc6_margrel1)).
thf(fc6_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_relat_1 @ C ) ) => ( v5_relat_1 @ ( k4_xboole_0 @ B @ C ) @ A ) ) ),file(relset_1,fc6_relset_1)).
thf(fc74_fomodel0,axiom,( ! [A: $i] : ( v1_setfam_1 @ ( k4_xboole_0 @ A @ ( k1_tarski @ k1_xboole_0 ) ) ) ),file(fomodel0,fc74_fomodel0)).
thf(fc75_fomodel0,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ~ ( v1_finset_1 @ ( k13_finseq_1 @ A ) ) ) ),file(fomodel0,fc75_fomodel0)).
thf(fc76_fomodel0,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ~ ( v2_setfam_1 @ ( k13_finseq_1 @ A ) ) ) ),file(fomodel0,fc76_fomodel0)).
thf(fc79_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ B ) => ( ( v1_relat_1 @ ( k13_fomodel0 @ A @ B ) ) & ( v4_relat_1 @ ( k13_fomodel0 @ A @ B ) @ ( k2_xboole_0 @ A @ ( k9_xtuple_0 @ B ) ) ) ) ) ),file(fomodel0,fc79_fomodel0)).
thf(fc7_finseq_1,axiom,( ! [A: $i] : ( v1_finseq_1 @ ( k5_finseq_1 @ A ) ) ),file(finseq_1,fc7_finseq_1)).
thf(fc85_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v7_ordinal1 @ A ) & ( v1_xboole_0 @ B ) & ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v3_card_1 @ C @ A ) & ( v1_finseq_1 @ C ) ) => ( ( v1_relat_1 @ ( k13_fomodel0 @ B @ C ) ) & ( v4_relat_1 @ ( k13_fomodel0 @ B @ C ) @ ( k2_finseq_1 @ ( k2_xcmplx_0 @ A @ B ) ) ) & ( v1_partfun1 @ ( k13_fomodel0 @ B @ C ) @ ( k2_finseq_1 @ ( k2_xcmplx_0 @ A @ B ) ) ) ) ) ),file(fomodel0,fc85_fomodel0)).
thf(fc8_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ~ ( v1_xboole_0 @ ( k4_xboole_0 @ ( k3_finseq_2 @ ( k15_fomodel1 @ A ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) ) ),file(fomodel1,fc8_fomodel1)).
thf(fc8_relat_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ~ ( v1_xboole_0 @ ( k9_xtuple_0 @ A ) ) ) ),file(relat_1,fc8_relat_1)).
thf(fc8_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) @ C ) ) ) => ( v1_relat_1 @ ( k9_xtuple_0 @ D ) ) ) ),file(relset_1,fc8_relset_1)).
thf(fc9_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(card_1,fc9_card_1)).
thf(fc9_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_finset_1 @ A ) & ( v1_finset_1 @ B ) ) => ( v1_finset_1 @ ( k2_xboole_0 @ A @ B ) ) ) ),file(finset_1,fc9_finset_1)).
thf(rc10_fomodel0,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_zfmisc_1 @ A ) & ( v3_finseq_1 @ A ) ) ),file(fomodel0,rc10_fomodel0)).
thf(rc11_fomodel0,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_setfam_1 @ B ) ) ) ),file(fomodel0,rc11_fomodel0)).
thf(rc1_card_1,axiom,( ? [A: $i] : ( v1_card_1 @ A ) ),file(card_1,rc1_card_1)).
thf(rc1_finseq_2,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_finseq_2 @ B @ A ) & ~ ( v1_xboole_0 @ B ) ) ),file(finseq_2,rc1_finseq_2)).
thf(rc1_finset_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) ) ),file(finset_1,rc1_finset_1)).
thf(rc1_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v1_fomodel2 @ C @ A @ B ) ) ) ),file(fomodel2,rc1_fomodel2)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(rc1_margrel1,axiom,( ? [A: $i] : ( ( v3_finseq_1 @ A ) & ( v2_card_3 @ A ) ) ),file(margrel1,rc1_margrel1)).
thf(rc1_ordinal1,axiom,( ? [A: $i] : ( v3_ordinal1 @ A ) ),file(ordinal1,rc1_ordinal1)).
thf(rc1_partfun1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( 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 ) ) ),file(partfun1,rc1_partfun1)).
thf(rc1_relat_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) ),file(relat_1,rc1_relat_1)).
thf(rc1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( 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 ) ) ),file(relset_1,rc1_relset_1)).
thf(rc1_setfam_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_setfam_1 @ A ) ) ),file(setfam_1,rc1_setfam_1)).
thf(rc1_xboolean,axiom,( ? [A: $i] : ( v1_xboolean @ A ) ),file(xboolean,rc1_xboolean)).
thf(rc1_xtuple_0,axiom,( ? [A: $i] : ( v1_xtuple_0 @ A ) ),file(xtuple_0,rc1_xtuple_0)).
thf(rc1_zfmisc_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_zfmisc_1 @ A ) ) ),file(zfmisc_1,rc1_zfmisc_1)).
thf(rc2_finset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_finset_1 @ B ) ) ) ),file(finset_1,rc2_finset_1)).
thf(rc2_setfam_1,axiom,( ? [A: $i] : ~ ( v2_setfam_1 @ A ) ),file(setfam_1,rc2_setfam_1)).
thf(rc2_zfmisc_1,axiom,( ? [A: $i] : ~ ( v1_zfmisc_1 @ A ) ),file(zfmisc_1,rc2_zfmisc_1)).
thf(rc3_card_1,axiom,( ? [A: $i] : ~ ( v1_finset_1 @ A ) ),file(card_1,rc3_card_1)).
thf(rc3_finset_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) ),file(finset_1,rc3_finset_1)).
thf(rc3_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ A ) ) ) ),file(funcop_1,rc3_funcop_1)).
thf(rc3_ordinal1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v5_ordinal1 @ B ) ) ),file(ordinal1,rc3_ordinal1)).
thf(rc3_partfun1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ? [C: $i] : ( ( 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 ) ) ) ),file(partfun1,rc3_partfun1)).
thf(rc3_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ),file(relat_1,rc3_relat_1)).
thf(rc3_setfam_1,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ A ) & ~ ( v1_xboole_0 @ B ) ) ) ),file(setfam_1,rc3_setfam_1)).
thf(rc3_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_subset_1 @ B @ A ) ) ),file(subset_1,rc3_subset_1)).
thf(rc4_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_finset_1 @ B ) ) ) ),file(card_1,rc4_card_1)).
thf(rc4_ordinal1,axiom,( ? [A: $i] : ( v7_ordinal1 @ A ) ),file(ordinal1,rc4_ordinal1)).
thf(rc4_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v1_subset_1 @ B @ A ) ) ) ),file(subset_1,rc4_subset_1)).
thf(rc5_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ? [B: $i] : ( v3_card_1 @ B @ A ) ) ),file(card_1,rc5_card_1)).
thf(rc5_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_finset_1 @ C ) ) ),file(finset_1,rc5_finset_1)).
thf(rc5_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) ) ),file(ordinal1,rc5_ordinal1)).
thf(rc5_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_zfmisc_1 @ B ) ) ) ),file(subset_1,rc5_subset_1)).
thf(rc6_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v3_card_1 @ B @ A ) ) ) ),file(card_1,rc6_card_1)).
thf(rc6_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ? [C: $i] : ( ~ ( 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 ) ) ) ),file(finset_1,rc6_finset_1)).
thf(rc6_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) & ( v7_fomodel1 @ B @ A ) ) ) ),file(fomodel1,rc6_fomodel1)).
thf(rc6_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) ) ),file(funct_1,rc6_funct_1)).
thf(rc6_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_zfmisc_1 @ B ) ) ) ),file(subset_1,rc6_subset_1)).
thf(rc7_card_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v3_card_1 @ B @ np__1 ) ) ) ),file(card_1,rc7_card_1)).
thf(rc7_finset_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_zfmisc_1 @ B ) & ( v1_finset_1 @ B ) ) ) ),file(finset_1,rc7_finset_1)).
thf(rc7_funct_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v4_funct_1 @ A ) ) ),file(funct_1,rc7_funct_1)).
thf(rc7_pre_poly,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_pre_poly @ A ) ) ),file(pre_poly,rc7_pre_poly)).
thf(rc8_finseq_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v3_finseq_1 @ A ) ) ),file(finseq_1,rc8_finseq_1)).
thf(rc8_finset_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) & ( v5_finset_1 @ A ) ) ),file(finset_1,rc8_finset_1)).
thf(rc8_pre_poly,axiom,( ? [A: $i] : ( ( v4_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) ) ),file(pre_poly,rc8_pre_poly)).
thf(rc9_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ A ) ) ) ),file(fomodel0,rc9_fomodel0)).
thf(ie10_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k14_fomodel0 @ A @ B ) @ ( k6_subset_1 @ A @ B ) ) ),file(fomodel0,ie10_fomodel0)).
thf(ie12_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k13_fomodel0 @ B @ A ) @ ( k15_fomodel0 @ A @ B ) ) ),file(fomodel0,ie12_fomodel0)).
thf(ie14_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( = @ ( k13_fomodel0 @ B @ A ) @ ( k2_xboole_0 @ A @ B ) ) ) ),file(fomodel0,ie14_fomodel0)).
thf(ie15_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_xboole_0 @ B ) & ( v1_finseq_1 @ B ) ) => ( = @ ( k7_finseq_1 @ A @ B ) @ ( k13_fomodel0 @ B @ A ) ) ) ),file(fomodel0,ie15_fomodel0)).
thf(ie16_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_xboole_0 @ B ) & ( v1_finseq_1 @ B ) ) => ( = @ ( k13_fomodel0 @ B @ A ) @ ( k7_finseq_1 @ A @ B ) ) ) ),file(fomodel0,ie16_fomodel0)).
thf(ie17_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_xboole_0 @ B ) & ( v1_finseq_1 @ B ) ) => ( = @ ( k7_finseq_1 @ B @ A ) @ ( k13_fomodel0 @ B @ A ) ) ) ),file(fomodel0,ie17_fomodel0)).
thf(ie18_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_xboole_0 @ B ) & ( v1_finseq_1 @ B ) ) => ( = @ ( k13_fomodel0 @ B @ A ) @ ( k7_finseq_1 @ B @ A ) ) ) ),file(fomodel0,ie18_fomodel0)).
thf(ie20_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) => ( = @ ( k13_fomodel0 @ A @ B ) @ ( k5_relat_1 @ B @ A ) ) ) ),file(fomodel0,ie20_fomodel0)).
thf(ie22_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ A ) ) => ( = @ ( k13_fomodel0 @ B @ C ) @ ( k1_funct_4 @ B @ C ) ) ) ),file(fomodel0,ie22_fomodel0)).
thf(ie8_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( = @ ( k13_fomodel0 @ A @ B ) @ ( k9_subset_1 @ A @ A @ B ) ) ) ),file(fomodel0,ie8_fomodel0)).
thf(spc1_boole,axiom,( ~ ( v1_xboole_0 @ np__1 ) ),file(boole,spc1_boole)).
thf(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 ) ),file(numerals,spc1_numerals)).
thf(commutativity_k2_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k2_xboole_0 @ A @ B ) @ ( k2_xboole_0 @ B @ A ) ) ),file(xboole_0,k2_xboole_0)).
thf(idempotence_k2_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k2_xboole_0 @ A @ A ) @ A ) ),file(xboole_0,k2_xboole_0)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(redefinition_k12_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ A ) ) => ( = @ ( k12_finseq_1 @ A @ B ) @ ( k5_finseq_1 @ B ) ) ) ),file(finseq_1,k12_finseq_1)).
thf(redefinition_k15_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_fomodel1 @ A ) ) => ( = @ ( k15_fomodel1 @ A ) @ ( k1_fomodel1 @ A ) ) ) ),file(fomodel1,k15_fomodel1)).
thf(redefinition_k16_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ( = @ ( k16_fomodel2 @ A @ B ) @ ( k15_fomodel2 @ A @ B ) ) ) ),file(fomodel2,k16_fomodel2)).
thf(redefinition_k1_domain_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ C @ A ) & ( m1_subset_1 @ D @ B ) ) => ( = @ ( k1_domain_1 @ A @ B @ C @ D ) @ ( k4_tarski @ C @ D ) ) ) ),file(domain_1,k1_domain_1)).
thf(redefinition_k1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) => ( = @ ( k1_relset_1 @ A @ B ) @ ( k9_xtuple_0 @ B ) ) ) ),file(relset_1,k1_relset_1)).
thf(redefinition_k37_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ( = @ ( k37_fomodel1 @ A ) @ ( k9_fomodel1 @ A ) ) ) ),file(fomodel1,k37_fomodel1)).
thf(redefinition_k3_finseq_2,axiom,( ! [A: $i] : ( = @ ( k3_finseq_2 @ A ) @ ( k13_finseq_1 @ A ) ) ),file(finseq_2,k3_finseq_2)).
thf(redefinition_k3_rfunct_3,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k3_rfunct_3 @ A @ B ) @ ( k4_partfun1 @ A @ B ) ) ),file(rfunct_3,k3_rfunct_3)).
thf(redefinition_k6_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k6_subset_1 @ A @ B ) @ ( k4_xboole_0 @ A @ B ) ) ),file(subset_1,k6_subset_1)).
thf(redefinition_k8_mcart_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) ) ) => ( = @ ( k8_mcart_1 @ A @ B @ C @ D ) @ ( k2_zfmisc_1 @ C @ D ) ) ) ),file(mcart_1,k8_mcart_1)).
thf(redefinition_k9_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ( = @ ( k9_funct_2 @ A @ B ) @ ( k1_funct_2 @ A @ B ) ) ) ),file(funct_2,k9_funct_2)).
thf(redefinition_m2_rfunct_3,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ C ) & ( m1_rfunct_3 @ C @ A @ B ) ) => ! [D: $i] : ( ( m2_rfunct_3 @ D @ A @ B @ C ) <=> ( m1_subset_1 @ D @ C ) ) ) ),file(rfunct_3,m2_rfunct_3)).
thf(redefinition_m2_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ A @ B ) <=> ( m1_subset_1 @ C @ B ) ) ) ),file(subset_1,m2_subset_1)).
thf(dt_k12_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ A ) ) => ( m2_finseq_1 @ ( k12_finseq_1 @ A @ B ) @ A ) ) ),file(finseq_1,k12_finseq_1)).
thf(dt_k15_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_fomodel1 @ A ) ) => ~ ( v1_xboole_0 @ ( k15_fomodel1 @ A ) ) ) ),file(fomodel1,k15_fomodel1)).
thf(dt_k16_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ( m1_subset_1 @ ( k16_fomodel2 @ A @ B ) @ ( k1_zfmisc_1 @ ( k9_funct_2 @ ( k37_fomodel1 @ A ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ B ) @ ( k2_xboole_0 @ B @ k6_margrel1 ) ) ) ) ) ) ),file(fomodel2,k16_fomodel2)).
thf(dt_k18_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ C @ ( k16_fomodel2 @ A @ B ) ) & ( v1_funct_1 @ D ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k8_mcart_1 @ ( k9_funct_2 @ ( k37_fomodel1 @ A ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ B ) @ ( k2_xboole_0 @ B @ k6_margrel1 ) ) ) @ ( k3_finseq_2 @ ( k1_fomodel1 @ A ) ) @ ( k16_fomodel2 @ A @ B ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ A ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) @ k6_margrel1 ) ) ) & ( m1_subset_1 @ E @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ A ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) ) => ( m1_subset_1 @ ( k18_fomodel2 @ A @ B @ C @ D @ E ) @ k6_margrel1 ) ) ),file(fomodel2,k18_fomodel2)).
thf(dt_k1_binop_1,axiom,( $true ),file(binop_1,k1_binop_1)).
thf(dt_k1_domain_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ C @ A ) & ( m1_subset_1 @ D @ B ) ) => ( m1_subset_1 @ ( k1_domain_1 @ A @ B @ C @ D ) @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(domain_1,k1_domain_1)).
thf(dt_k1_fomodel1,axiom,( $true ),file(fomodel1,k1_fomodel1)).
thf(dt_k1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) => ( m1_subset_1 @ ( k1_relset_1 @ A @ B ) @ ( k1_zfmisc_1 @ A ) ) ) ),file(relset_1,k1_relset_1)).
thf(dt_k1_tarski,axiom,( $true ),file(tarski,k1_tarski)).
thf(dt_k1_xboole_0,axiom,( $true ),file(xboole_0,k1_xboole_0)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_xboole_0,axiom,( $true ),file(xboole_0,k2_xboole_0)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k37_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ( m1_subset_1 @ ( k37_fomodel1 @ A ) @ ( k1_zfmisc_1 @ ( k15_fomodel1 @ A ) ) ) ) ),file(fomodel1,k37_fomodel1)).
thf(dt_k3_finseq_2,axiom,( ! [A: $i] : ( m1_finseq_2 @ ( k3_finseq_2 @ A ) @ A ) ),file(finseq_2,k3_finseq_2)).
thf(dt_k3_rfunct_3,axiom,( ! [A: $i] : ! [B: $i] : ( m1_rfunct_3 @ ( k3_rfunct_3 @ A @ B ) @ A @ B ) ),file(rfunct_3,k3_rfunct_3)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_k6_margrel1,axiom,( $true ),file(margrel1,k6_margrel1)).
thf(dt_k6_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( m1_subset_1 @ ( k6_subset_1 @ A @ B ) @ ( k1_zfmisc_1 @ A ) ) ),file(subset_1,k6_subset_1)).
thf(dt_k7_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) ) => ( ( v1_relat_1 @ ( k7_finseq_1 @ A @ B ) ) & ( v1_funct_1 @ ( k7_finseq_1 @ A @ B ) ) & ( v1_finseq_1 @ ( k7_finseq_1 @ A @ B ) ) ) ) ),file(finseq_1,k7_finseq_1)).
thf(dt_k8_mcart_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ A ) ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ B ) ) ) => ( m1_subset_1 @ ( k8_mcart_1 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) ),file(mcart_1,k8_mcart_1)).
thf(dt_k9_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ( m1_funct_2 @ ( k9_funct_2 @ A @ B ) @ A @ B ) ) ),file(funct_2,k9_funct_2)).
thf(dt_l1_fomodel1,axiom,( ! [A: $i] : ( ( l1_fomodel1 @ A ) => ( l4_struct_0 @ A ) ) ),file(fomodel1,l1_fomodel1)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_m2_rfunct_3,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ C ) & ( m1_rfunct_3 @ C @ A @ B ) ) => ! [D: $i] : ( ( m2_rfunct_3 @ D @ A @ B @ C ) => ( ( v1_funct_1 @ D ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) ) ) ),file(rfunct_3,m2_rfunct_3)).
thf(dt_m2_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ A @ B ) => ( m1_subset_1 @ C @ A ) ) ) ),file(subset_1,m2_subset_1)).
thf(dt_c1_53__fomodel2,axiom,( ~ ( v6_struct_0 @ c1_53__fomodel2 ) & ( v11_fomodel1 @ c1_53__fomodel2 ) & ( l1_fomodel1 @ c1_53__fomodel2 ) ),file(fomodel2,c1_53__fomodel2)).
thf(dt_c2_53__fomodel2,axiom,( ~ ( v1_xboole_0 @ c2_53__fomodel2 ) ),file(fomodel2,c2_53__fomodel2)).
thf(dt_c3_53__fomodel2,axiom,( m2_rfunct_3 @ c3_53__fomodel2 @ ( k8_mcart_1 @ ( k9_funct_2 @ ( k37_fomodel1 @ c1_53__fomodel2 ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ c2_53__fomodel2 ) @ ( k2_xboole_0 @ c2_53__fomodel2 @ k6_margrel1 ) ) ) @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) @ k6_margrel1 @ ( k3_rfunct_3 @ ( k8_mcart_1 @ ( k9_funct_2 @ ( k37_fomodel1 @ c1_53__fomodel2 ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ c2_53__fomodel2 ) @ ( k2_xboole_0 @ c2_53__fomodel2 @ k6_margrel1 ) ) ) @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) @ k6_margrel1 ) ),file(fomodel2,c3_53__fomodel2)).
thf(cc10_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( v4_fomodel1 @ B @ A ) => ~ ( v7_fomodel1 @ B @ A ) ) ) ) ),file(fomodel1,cc10_fomodel1)).
thf(cc11_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k9_funct_2 @ A @ ( k3_finseq_2 @ B ) ) ) => ( v1_pre_poly @ C ) ) ),file(fomodel0,cc11_fomodel0)).
thf(cc11_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( v4_fomodel1 @ B @ A ) => ~ ( v6_fomodel1 @ B @ A ) ) ) ) ),file(fomodel1,cc11_fomodel1)).
thf(cc15_fomodel0,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k3_finseq_2 @ A ) ) => ( v1_xboole_0 @ B ) ) ) ),file(fomodel0,cc15_fomodel0)).
thf(cc15_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k15_fomodel1 @ A ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) => ~ ( v1_xboole_0 @ B ) ) ) ),file(fomodel1,cc15_fomodel1)).
thf(cc16_fomodel1,axiom,( ! [A: $i] : ( ( l1_fomodel1 @ A ) => ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) ) => ( ~ ( v6_struct_0 @ A ) & ~ ( v8_struct_0 @ A ) & ( v11_fomodel1 @ A ) ) ) ) ),file(fomodel1,cc16_fomodel1)).
thf(cc1_finset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_finset_1 @ A ) ) ),file(finset_1,cc1_finset_1)).
thf(cc1_fomodel0,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v2_setfam_1 @ A ) ) ),file(fomodel0,cc1_fomodel0)).
thf(cc1_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_funct_1 @ A ) ) ),file(funct_1,cc1_funct_1)).
thf(cc1_margrel1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v2_card_3 @ A ) ) ),file(margrel1,cc1_margrel1)).
thf(cc1_partfun1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_partfun1 @ C @ A ) ) ) ),file(partfun1,cc1_partfun1)).
thf(cc1_pre_poly,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k3_finseq_2 @ A ) ) => ( v1_finseq_1 @ B ) ) ),file(pre_poly,cc1_pre_poly)).
thf(cc1_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_relat_1 @ A ) ) ),file(relat_1,cc1_relat_1)).
thf(cc1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_relat_1 @ C ) ) ),file(relset_1,cc1_relset_1)).
thf(cc1_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_xboole_0 @ B ) ) ) ),file(subset_1,cc1_subset_1)).
thf(cc1_zfmisc_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_zfmisc_1 @ A ) ) ),file(zfmisc_1,cc1_zfmisc_1)).
thf(cc2_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc2_card_1)).
thf(cc2_fomodel2,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( v4_fomodel1 @ B @ A ) => ( v9_fomodel1 @ B @ A ) ) ) ) ),file(fomodel2,cc2_fomodel2)).
thf(cc2_margrel1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k6_margrel1 ) => ( v1_xboolean @ A ) ) ),file(margrel1,cc2_margrel1)).
thf(cc2_partfun1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_xboole_0 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ~ ( v1_partfun1 @ C @ A ) ) ) ),file(partfun1,cc2_partfun1)).
thf(cc2_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ) ),file(relset_1,cc2_relset_1)).
thf(cc3_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc3_ordinal1)).
thf(cc3_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_xboole_0 @ C ) ) ) ),file(relset_1,cc3_relset_1)).
thf(cc3_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( ( v1_xboole_0 @ B ) => ( v1_subset_1 @ B @ A ) ) ) ) ),file(subset_1,cc3_subset_1)).
thf(cc4_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_ordinal1 @ A ) ) ),file(ordinal1,cc4_ordinal1)).
thf(cc4_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) => ( v1_xboole_0 @ C ) ) ) ),file(relset_1,cc4_relset_1)).
thf(cc4_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ~ ( v1_subset_1 @ B @ A ) ) ) ),file(subset_1,cc4_subset_1)).
thf(cc5_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k3_finseq_2 @ A ) ) => ( v5_relat_1 @ B @ A ) ) ),file(fomodel0,cc5_fomodel0)).
thf(cc5_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) => ( ( v4_fomodel1 @ B @ A ) => ( v8_fomodel1 @ B @ A ) ) ) ) ),file(fomodel1,cc5_fomodel1)).
thf(cc6_finset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_finset_1 @ A ) ) ),file(finset_1,cc6_finset_1)).
thf(cc7_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v4_funct_1 @ A ) ) ),file(funct_1,cc7_funct_1)).
thf(cc7_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v7_ordinal1 @ A ) ) ),file(ordinal1,cc7_ordinal1)).
thf(cc8_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_card_1 @ A @ k1_xboole_0 ) ) ),file(card_1,cc8_card_1)).
thf(cc8_finseq_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_finseq_1 @ A ) ) ),file(finseq_1,cc8_finseq_1)).
thf(cc8_fomodel2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k16_fomodel2 @ A @ B ) ) => ( v1_fomodel2 @ C @ A @ B ) ) ) ),file(fomodel2,cc8_fomodel2)).
thf(cc9_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v6_ordinal1 @ A ) ) ),file(ordinal1,cc9_ordinal1)).
thf(fc10_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ~ ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(subset_1,fc10_subset_1)).
thf(fc13_card_1,axiom,( ! [A: $i] : ( v3_card_1 @ ( k1_tarski @ A ) @ np__1 ) ),file(card_1,fc13_card_1)).
thf(fc1_finset_1,axiom,( ! [A: $i] : ( v1_finset_1 @ ( k1_tarski @ A ) ) ),file(finset_1,fc1_finset_1)).
thf(fc1_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_funct_1 @ ( k1_tarski @ ( k4_tarski @ A @ B ) ) ) ),file(funct_1,fc1_funct_1)).
thf(fc1_subset_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) ),file(subset_1,fc1_subset_1)).
thf(fc1_xboole_0,axiom,( v1_xboole_0 @ k1_xboole_0 ),file(xboole_0,fc1_xboole_0)).
thf(fc1_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ( v1_xtuple_0 @ ( k4_tarski @ A @ B ) ) ),file(xtuple_0,fc1_xtuple_0)).
thf(fc1_zfmisc_1,axiom,( ! [A: $i] : ! [B: $i] : ~ ( v1_xboole_0 @ ( k4_tarski @ A @ B ) ) ),file(zfmisc_1,fc1_zfmisc_1)).
thf(fc2_margrel1,axiom,( ~ ( v1_xboole_0 @ k6_margrel1 ) ),file(margrel1,fc2_margrel1)).
thf(fc2_setfam_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ( v1_setfam_1 @ ( k1_tarski @ A ) ) ) ),file(setfam_1,fc2_setfam_1)).
thf(fc2_xboole_0,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) ),file(xboole_0,fc2_xboole_0)).
thf(fc2_zfmisc_1,axiom,( ! [A: $i] : ( v1_zfmisc_1 @ ( k1_tarski @ A ) ) ),file(zfmisc_1,fc2_zfmisc_1)).
thf(fc3_fomodel2,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ~ ( v1_xboole_0 @ ( k1_fomodel1 @ A ) ) ) ),file(fomodel2,fc3_fomodel2)).
thf(fc3_zfmisc_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ B ) => ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(zfmisc_1,fc3_zfmisc_1)).
thf(fc4_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ A ) => ~ ( v1_xboole_0 @ ( k2_xboole_0 @ A @ B ) ) ) ),file(xboole_0,fc4_xboole_0)).
thf(fc4_zfmisc_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ( v1_xboole_0 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(zfmisc_1,fc4_zfmisc_1)).
thf(fc5_fomodel0,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v2_setfam_1 @ ( k1_tarski @ A ) ) ) ),file(fomodel0,fc5_fomodel0)).
thf(fc5_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k1_tarski @ ( k4_tarski @ A @ B ) ) ) ),file(relat_1,fc5_relat_1)).
thf(fc5_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ A ) => ~ ( v1_xboole_0 @ ( k2_xboole_0 @ B @ A ) ) ) ),file(xboole_0,fc5_xboole_0)).
thf(fc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),file(relat_1,fc6_relat_1)).
thf(fc9_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ~ ( v1_finset_1 @ ( k1_fomodel1 @ A ) ) ) ),file(fomodel1,fc9_fomodel1)).
thf(rc1_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) ) ) ),file(subset_1,rc1_subset_1)).
thf(rc1_xboole_0,axiom,( ? [A: $i] : ( v1_xboole_0 @ A ) ),file(xboole_0,rc1_xboole_0)).
thf(rc2_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v1_xboole_0 @ B ) ) ),file(subset_1,rc2_subset_1)).
thf(rc2_xboole_0,axiom,( ? [A: $i] : ~ ( v1_xboole_0 @ A ) ),file(xboole_0,rc2_xboole_0)).
thf(rc4_fomodel1,axiom,( ? [A: $i] : ( ( l1_fomodel1 @ A ) & ~ ( v6_struct_0 @ A ) ) ),file(fomodel1,rc4_fomodel1)).
thf(rc7_fomodel1,axiom,( ! [A: $i] : ( ( ~ ( v6_struct_0 @ A ) & ( v11_fomodel1 @ A ) & ( l1_fomodel1 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_fomodel1 @ A ) ) & ( v4_fomodel1 @ B @ A ) ) ) ),file(fomodel1,rc7_fomodel1)).
thf(ie13_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( = @ ( k2_xboole_0 @ A @ B ) @ ( k13_fomodel0 @ B @ A ) ) ) ),file(fomodel0,ie13_fomodel0)).
thf(ie1_fomodel0,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( = @ ( k3_finseq_2 @ A ) @ ( k1_tarski @ A ) ) ) ),file(fomodel0,ie1_fomodel0)).
thf(ie2_fomodel0,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( = @ ( k1_tarski @ A ) @ ( k3_finseq_2 @ A ) ) ) ),file(fomodel0,ie2_fomodel0)).
thf(ie9_fomodel0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k6_subset_1 @ A @ B ) @ ( k14_fomodel0 @ A @ B ) ) ),file(fomodel0,ie9_fomodel0)).
thf(e1_53_1_1__fomodel2,axiom,( ! [A: $i] : ( ( m2_subset_1 @ A @ ( k9_funct_2 @ ( k37_fomodel1 @ c1_53__fomodel2 ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ c2_53__fomodel2 ) @ ( k2_xboole_0 @ c2_53__fomodel2 @ k6_margrel1 ) ) ) @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) ) => ! [B: $i] : ( ( m2_subset_1 @ B @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) => ( ? [C: $i] : ( ( v4_fomodel1 @ C @ c1_53__fomodel2 ) & ( m1_subset_1 @ C @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) & ? [D: $i] : ( ( m2_subset_1 @ D @ ( k3_finseq_2 @ ( k15_fomodel1 @ c1_53__fomodel2 ) ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k15_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) & ( r2_hidden @ ( k1_domain_1 @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k15_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) @ A @ D ) @ ( k1_relset_1 @ ( k8_mcart_1 @ ( k9_funct_2 @ ( k37_fomodel1 @ c1_53__fomodel2 ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ c2_53__fomodel2 ) @ ( k2_xboole_0 @ c2_53__fomodel2 @ k6_margrel1 ) ) ) @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) @ c3_53__fomodel2 ) ) & ( = @ B @ ( k7_finseq_1 @ ( k12_finseq_1 @ ( k1_fomodel1 @ c1_53__fomodel2 ) @ C ) @ D ) ) ) ) => ( r2_hidden @ ( k18_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 @ A @ c3_53__fomodel2 @ B ) @ k6_margrel1 ) ) ) ) ),file(fomodel2,e1_53_1_1__fomodel2)).
thf(s8_binop_1,axiom,( ! [A: $i] : ! [B: $i > $i > $i] : ! [C: $i > $i > $o] : ! [D: $i] : ! [E: $i] : ( ! [F: $i] : ( ( m1_subset_1 @ F @ E ) => ! [G: $i] : ( ( m1_subset_1 @ G @ D ) => ( ( C @ F @ G ) => ( r2_hidden @ ( B @ F @ G ) @ A ) ) ) ) => ? [F: $i] : ( ( v1_funct_1 @ F ) & ( m1_subset_1 @ F @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ E @ D ) @ A ) ) ) & ! [G: $i] : ( ( m1_subset_1 @ G @ E ) => ! [H: $i] : ( ( m1_subset_1 @ H @ D ) => ( ( r2_hidden @ ( k4_tarski @ G @ H ) @ ( k1_relset_1 @ ( k2_zfmisc_1 @ E @ D ) @ F ) ) <=> ( C @ G @ H ) ) ) ) & ! [G: $i] : ( ( m1_subset_1 @ G @ E ) => ! [H: $i] : ( ( m1_subset_1 @ H @ D ) => ( ( r2_hidden @ ( k4_tarski @ G @ H ) @ ( k1_relset_1 @ ( k2_zfmisc_1 @ E @ D ) @ F ) ) => ( = @ ( k1_binop_1 @ F @ G @ H ) @ ( B @ G @ H ) ) ) ) ) ) ) ),file(binop_1,s8_binop_1)).
thf(e2_53_1_1__fomodel2,conjecture,( ? [A: $i] : ( ( v1_funct_1 @ A ) & ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k8_mcart_1 @ ( k9_funct_2 @ ( k37_fomodel1 @ c1_53__fomodel2 ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ c2_53__fomodel2 ) @ ( k2_xboole_0 @ c2_53__fomodel2 @ k6_margrel1 ) ) ) @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) @ k6_margrel1 ) ) ) & ! [B: $i] : ( ( m2_subset_1 @ B @ ( k9_funct_2 @ ( k37_fomodel1 @ c1_53__fomodel2 ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ c2_53__fomodel2 ) @ ( k2_xboole_0 @ c2_53__fomodel2 @ k6_margrel1 ) ) ) @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) => ( ( r2_hidden @ ( k1_domain_1 @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) @ B @ C ) @ ( k1_relset_1 @ ( k8_mcart_1 @ ( k9_funct_2 @ ( k37_fomodel1 @ c1_53__fomodel2 ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ c2_53__fomodel2 ) @ ( k2_xboole_0 @ c2_53__fomodel2 @ k6_margrel1 ) ) ) @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) @ A ) ) <=> ? [D: $i] : ( ( v4_fomodel1 @ D @ c1_53__fomodel2 ) & ( m1_subset_1 @ D @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) & ? [E: $i] : ( ( m2_subset_1 @ E @ ( k3_finseq_2 @ ( k15_fomodel1 @ c1_53__fomodel2 ) ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k15_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) & ( r2_hidden @ ( k1_domain_1 @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k15_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) @ B @ E ) @ ( k1_relset_1 @ ( k8_mcart_1 @ ( k9_funct_2 @ ( k37_fomodel1 @ c1_53__fomodel2 ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ c2_53__fomodel2 ) @ ( k2_xboole_0 @ c2_53__fomodel2 @ k6_margrel1 ) ) ) @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) @ c3_53__fomodel2 ) ) & ( = @ C @ ( k7_finseq_1 @ ( k12_finseq_1 @ ( k1_fomodel1 @ c1_53__fomodel2 ) @ D ) @ E ) ) ) ) ) ) ) & ! [B: $i] : ( ( m2_subset_1 @ B @ ( k9_funct_2 @ ( k37_fomodel1 @ c1_53__fomodel2 ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ c2_53__fomodel2 ) @ ( k2_xboole_0 @ c2_53__fomodel2 @ k6_margrel1 ) ) ) @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) => ( ( r2_hidden @ ( k1_domain_1 @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) @ B @ C ) @ ( k1_relset_1 @ ( k8_mcart_1 @ ( k9_funct_2 @ ( k37_fomodel1 @ c1_53__fomodel2 ) @ ( k3_rfunct_3 @ ( k3_finseq_2 @ c2_53__fomodel2 ) @ ( k2_xboole_0 @ c2_53__fomodel2 @ k6_margrel1 ) ) ) @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k16_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 ) @ ( k6_subset_1 @ ( k3_finseq_2 @ ( k1_fomodel1 @ c1_53__fomodel2 ) ) @ ( k1_tarski @ k1_xboole_0 ) ) ) @ A ) ) => ( = @ ( k1_binop_1 @ A @ B @ C ) @ ( k18_fomodel2 @ c1_53__fomodel2 @ c2_53__fomodel2 @ B @ c3_53__fomodel2 @ C ) ) ) ) ) ) ),file(fomodel2,e2_53_1_1__fomodel2)).
