% Mizar problem: s14_yellow18,yellow18,1655,21 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(f1_s14_yellow18_type,type,( f1_s14_yellow18: $i )).
thf(f2_s14_yellow18_type,type,( f2_s14_yellow18: $i )).
thf(f3_s14_yellow18_type,type,( f3_s14_yellow18: $i )).
thf(f4_s14_yellow18_type,type,( f4_s14_yellow18: $i )).
thf(f5_s14_yellow18_type,type,( f5_s14_yellow18: $i > $i )).
thf(k1_altcat_1_type,type,( k1_altcat_1: $i > $i > $i > $i )).
thf(k1_binop_1_type,type,( k1_binop_1: $i > $i > $i > $i )).
thf(k1_funct_1_type,type,( k1_funct_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_xtuple_0_type,type,( k1_xtuple_0: $i > $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_binop_1_type,type,( k2_binop_1: $i > $i > $i > $i > $i > $i > $i )).
thf(k2_functor2_type,type,( k2_functor2: $i > $i > $i > $i > $i > $i > $i )).
thf(k2_tarski_type,type,( k2_tarski: $i > $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_functor0_type,type,( k3_functor0: $i > $i > $i > $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(k5_altcat_1_type,type,( k5_altcat_1: $i > $i > $i > $i > $i > $i > $i )).
thf(k6_functor0_type,type,( k6_functor0: $i > $i > $i > $i > $i > $i > $i )).
thf(u1_altcat_1_type,type,( u1_altcat_1: $i > $i )).
thf(u1_functor0_type,type,( u1_functor0: $i > $i > $i > $i )).
thf(u1_struct_0_type,type,( u1_struct_0: $i > $i )).
thf(l1_altcat_1_type,type,( l1_altcat_1: $i > $o )).
thf(l1_functor0_type,type,( l1_functor0: $i > $i > $i > $o )).
thf(l1_struct_0_type,type,( l1_struct_0: $i > $o )).
thf(l2_altcat_1_type,type,( l2_altcat_1: $i > $o )).
thf(l2_functor0_type,type,( l2_functor0: $i > $i > $i > $o )).
thf(m1_functor2_type,type,( m1_functor2: $i > $i > $i > $i > $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(m2_functor0_type,type,( m2_functor0: $i > $i > $i > $o )).
thf(m2_functor2_type,type,( m2_functor2: $i > $i > $i > $i > $i > $o )).
thf(r1_functor2_type,type,( r1_functor2: $i > $i > $i > $i > $o )).
thf(r1_tarski_type,type,( r1_tarski: $i > $i > $o )).
thf(r2_functor2_type,type,( r2_functor2: $i > $i > $i > $i > $o )).
thf(v10_functor0_type,type,( v10_functor0: $i > $i > $i > $o )).
thf(v11_altcat_1_type,type,( v11_altcat_1: $i > $o )).
thf(v12_altcat_1_type,type,( v12_altcat_1: $i > $o )).
thf(v12_functor0_type,type,( v12_functor0: $i > $i > $i > $o )).
thf(v13_altcat_1_type,type,( v13_altcat_1: $i > $o )).
thf(v13_functor0_type,type,( v13_functor0: $i > $i > $i > $o )).
thf(v13_struct_0_type,type,( v13_struct_0: $i > $i > $o )).
thf(v15_functor0_type,type,( v15_functor0: $i > $i > $i > $o )).
thf(v1_altcat_2_type,type,( v1_altcat_2: $i > $o )).
thf(v1_finset_1_type,type,( v1_finset_1: $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_ordinal1_type,type,( v1_ordinal1: $i > $o )).
thf(v1_partfun1_type,type,( v1_partfun1: $i > $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_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_xtuple_0_type,type,( v1_xtuple_0: $i > $o )).
thf(v1_zfmisc_1_type,type,( v1_zfmisc_1: $i > $o )).
thf(v2_altcat_1_type,type,( v2_altcat_1: $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_ordinal1_type,type,( v2_ordinal1: $i > $o )).
thf(v2_relat_1_type,type,( v2_relat_1: $i > $o )).
thf(v2_struct_0_type,type,( v2_struct_0: $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(v4_funct_1_type,type,( v4_funct_1: $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $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_functor0_type,type,( v6_functor0: $i > $i > $i > $o )).
thf(v6_ordinal1_type,type,( v6_ordinal1: $i > $o )).
thf(v7_ordinal1_type,type,( v7_ordinal1: $i > $o )).
thf(v7_struct_0_type,type,( v7_struct_0: $i > $o )).
thf(v8_functor0_type,type,( v8_functor0: $i > $i > $i > $o )).
thf(v8_struct_0_type,type,( v8_struct_0: $i > $o )).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
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(cc10_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) ) => ( v13_struct_0 @ A @ np__1 ) ) ) ),file(struct_0,cc10_struct_0)).
thf(cc11_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v13_struct_0 @ A @ np__1 ) => ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) ) ) ) ),file(struct_0,cc11_struct_0)).
thf(cc17_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v7_struct_0 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(struct_0,cc17_struct_0)).
thf(cc1_altcat_2,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v12_altcat_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v1_altcat_2 @ A ) ) ) ) ),file(altcat_2,cc1_altcat_2)).
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_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_funct_1 @ A ) ) ),file(funct_1,cc1_funct_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_functor2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ! [C: $i] : ( ( m2_functor0 @ C @ A @ B ) => ( ( v8_functor0 @ C @ A @ B ) & ( v12_functor0 @ C @ A @ B ) ) ) ) ),file(functor2,cc1_functor2)).
thf(cc1_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) ) ),file(ordinal1,cc1_ordinal1)).
thf(cc1_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ( v1_relat_1 @ B ) & ~ ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc1_pboole)).
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_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc1_struct_0)).
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(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_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_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_functor0,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v12_altcat_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v1_altcat_2 @ A ) ) ) ) ),file(functor0,cc2_functor0)).
thf(cc2_functor2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ! [C: $i] : ( ( m2_functor0 @ C @ A @ B ) => ( ( v15_functor0 @ C @ A @ B ) => ( ( v10_functor0 @ C @ A @ B ) & ( v13_functor0 @ C @ A @ B ) ) ) ) ) ),file(functor2,cc2_functor2)).
thf(cc2_ordinal1,axiom,( ! [A: $i] : ( ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc2_ordinal1)).
thf(cc2_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ( v1_relat_1 @ B ) & ~ ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc2_pboole)).
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_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(cc2_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v7_struct_0 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(struct_0,cc2_struct_0)).
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(cc3_altcat_1,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( v13_struct_0 @ A @ np__1 ) => ( v13_altcat_1 @ A ) ) ) ),file(altcat_1,cc3_altcat_1)).
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_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_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_struct_0 @ A ) & ~ ( v2_struct_0 @ B ) & ( l1_struct_0 @ B ) ) => ! [C: $i] : ( ( l1_functor0 @ C @ A @ B ) => ( ( v10_functor0 @ C @ A @ B ) => ( v6_functor0 @ C @ A @ B ) ) ) ) ),file(functor0,cc3_functor0)).
thf(cc3_functor2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ! [C: $i] : ( ( m2_functor0 @ C @ A @ B ) => ( ( ( v10_functor0 @ C @ A @ B ) & ( v13_functor0 @ C @ A @ B ) ) => ( v15_functor0 @ C @ A @ B ) ) ) ) ),file(functor2,cc3_functor2)).
thf(cc3_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc3_ordinal1)).
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_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_altcat_1,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( v13_altcat_1 @ A ) => ( v2_altcat_1 @ A ) ) ) ),file(altcat_1,cc4_altcat_1)).
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_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_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_ordinal1 @ A ) ) ),file(ordinal1,cc4_ordinal1)).
thf(cc4_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ( v1_relat_1 @ B ) & ~ ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc4_pboole)).
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_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_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( ( v2_struct_0 @ A ) & ( v8_struct_0 @ A ) ) ) ) ),file(struct_0,cc4_struct_0)).
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_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_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ! [C: $i] : ( ( m2_functor0 @ C @ A @ B ) => ( ( v15_functor0 @ C @ A @ B ) => ( v6_functor0 @ C @ A @ B ) ) ) ) ),file(functor0,cc5_functor0)).
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_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc5_pboole)).
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_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ( ~ ( v2_struct_0 @ A ) & ~ ( v8_struct_0 @ A ) ) ) ) ),file(struct_0,cc5_struct_0)).
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_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(cc6_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v7_struct_0 @ A ) => ( v8_struct_0 @ A ) ) ) ),file(struct_0,cc6_struct_0)).
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(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(cc7_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ~ ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc7_struct_0)).
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_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_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(cc8_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( v13_struct_0 @ A @ k1_xboole_0 ) ) ) ),file(struct_0,cc8_struct_0)).
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_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v6_ordinal1 @ A ) ) ),file(ordinal1,cc9_ordinal1)).
thf(cc9_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v13_struct_0 @ A @ k1_xboole_0 ) => ( v2_struct_0 @ A ) ) ) ),file(struct_0,cc9_struct_0)).
thf(commutativity_k2_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k2_tarski @ A @ B ) @ ( k2_tarski @ B @ A ) ) ),file(tarski,k2_tarski)).
thf(d1_altcat_1,axiom,( ! [A: $i] : ( ( l1_altcat_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) => ( = @ ( k1_altcat_1 @ A @ B @ C ) @ ( k1_binop_1 @ ( u1_altcat_1 @ A ) @ B @ C ) ) ) ) ) ),file(altcat_1,d1_altcat_1)).
thf(d1_binop_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ! [B: $i] : ! [C: $i] : ( = @ ( k1_binop_1 @ A @ B @ C ) @ ( k1_funct_1 @ A @ ( k4_tarski @ B @ C ) ) ) ) ),file(binop_1,d1_binop_1)).
thf(d1_functor2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ! [C: $i] : ( ( m2_functor0 @ C @ A @ B ) => ! [D: $i] : ( ( m2_functor0 @ D @ A @ B ) => ( ( r1_functor2 @ A @ B @ C @ D ) <=> ! [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ A ) ) => ~ ( = @ ( k1_altcat_1 @ B @ ( k3_functor0 @ A @ B @ C @ E ) @ ( k3_functor0 @ A @ B @ D @ E ) ) @ k1_xboole_0 ) ) ) ) ) ) ) ),file(functor2,d1_functor2)).
thf(d2_functor2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ! [C: $i] : ( ( m2_functor0 @ C @ A @ B ) => ! [D: $i] : ( ( m2_functor0 @ D @ A @ B ) => ( ( r1_functor2 @ A @ B @ C @ D ) => ! [E: $i] : ( ( ( v1_relat_1 @ E ) & ( v4_relat_1 @ E @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ E ) & ( v1_partfun1 @ E @ ( u1_struct_0 @ A ) ) ) => ( ( m1_functor2 @ E @ A @ B @ C @ D ) <=> ! [F: $i] : ( ( m1_subset_1 @ F @ ( u1_struct_0 @ A ) ) => ( m1_subset_1 @ ( k1_funct_1 @ E @ F ) @ ( k1_altcat_1 @ B @ ( k3_functor0 @ A @ B @ C @ F ) @ ( k3_functor0 @ A @ B @ D @ F ) ) ) ) ) ) ) ) ) ) ) ),file(functor2,d2_functor2)).
thf(d2_xboole_0,axiom,( = @ k1_xboole_0 @ ( eps @ ^ [A: $i] : ( v1_xboole_0 @ A ) ) ),file(xboole_0,d2_xboole_0)).
thf(d4_functor2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ! [C: $i] : ( ( m2_functor0 @ C @ A @ B ) => ! [D: $i] : ( ( m2_functor0 @ D @ A @ B ) => ( ( r1_functor2 @ A @ B @ C @ D ) => ! [E: $i] : ( ( m1_functor2 @ E @ A @ B @ C @ D ) => ! [F: $i] : ( ( m1_subset_1 @ F @ ( u1_struct_0 @ A ) ) => ! [G: $i] : ( ( m1_subset_1 @ G @ ( k1_altcat_1 @ B @ ( k3_functor0 @ A @ B @ C @ F ) @ ( k3_functor0 @ A @ B @ D @ F ) ) ) => ( ( = @ G @ ( k2_functor2 @ A @ B @ C @ D @ E @ F ) ) <=> ( = @ G @ ( k1_funct_1 @ E @ F ) ) ) ) ) ) ) ) ) ) ) ),file(functor2,d4_functor2)).
thf(d5_functor0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_altcat_1 @ A ) ) => ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( l1_altcat_1 @ B ) ) => ! [C: $i] : ( ( l1_functor0 @ C @ A @ B ) => ! [D: $i] : ( ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) ) => ( = @ ( k3_functor0 @ A @ B @ C @ D ) @ ( k1_xtuple_0 @ ( k2_binop_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ ( u1_functor0 @ A @ B @ C ) @ D @ D ) ) ) ) ) ) ) ),file(functor0,d5_functor0)).
thf(d5_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k4_tarski @ A @ B ) @ ( k2_tarski @ ( k2_tarski @ A @ B ) @ ( k1_tarski @ A ) ) ) ),file(tarski,d5_tarski)).
thf(d6_functor2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ! [C: $i] : ( ( ( v15_functor0 @ C @ A @ B ) & ( m2_functor0 @ C @ A @ B ) ) => ! [D: $i] : ( ( ( v15_functor0 @ D @ A @ B ) & ( m2_functor0 @ D @ A @ B ) ) => ( ( r2_functor2 @ A @ B @ C @ D ) <=> ( ( r1_functor2 @ A @ B @ C @ D ) & ? [E: $i] : ( ( m1_functor2 @ E @ A @ B @ C @ D ) & ! [F: $i] : ( ( m1_subset_1 @ F @ ( u1_struct_0 @ A ) ) => ! [G: $i] : ( ( m1_subset_1 @ G @ ( u1_struct_0 @ A ) ) => ( ~ ( = @ ( k1_altcat_1 @ A @ F @ G ) @ k1_xboole_0 ) => ! [H: $i] : ( ( m1_subset_1 @ H @ ( k1_altcat_1 @ A @ F @ G ) ) => ( = @ ( k5_altcat_1 @ B @ ( k3_functor0 @ A @ B @ C @ F ) @ ( k3_functor0 @ A @ B @ C @ G ) @ ( k3_functor0 @ A @ B @ D @ G ) @ ( k6_functor0 @ A @ B @ C @ F @ G @ H ) @ ( k2_functor2 @ A @ B @ C @ D @ E @ G ) ) @ ( k5_altcat_1 @ B @ ( k3_functor0 @ A @ B @ C @ F ) @ ( k3_functor0 @ A @ B @ D @ F ) @ ( k3_functor0 @ A @ B @ D @ G ) @ ( k2_functor2 @ A @ B @ C @ D @ E @ F ) @ ( k6_functor0 @ A @ B @ D @ F @ G @ H ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),file(functor2,d6_functor2)).
thf(d7_functor2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ! [C: $i] : ( ( ( v15_functor0 @ C @ A @ B ) & ( m2_functor0 @ C @ A @ B ) ) => ! [D: $i] : ( ( ( v15_functor0 @ D @ A @ B ) & ( m2_functor0 @ D @ A @ B ) ) => ( ( r2_functor2 @ A @ B @ C @ D ) => ! [E: $i] : ( ( m1_functor2 @ E @ A @ B @ C @ D ) => ( ( m2_functor2 @ E @ A @ B @ C @ D ) <=> ! [F: $i] : ( ( m1_subset_1 @ F @ ( u1_struct_0 @ A ) ) => ! [G: $i] : ( ( m1_subset_1 @ G @ ( u1_struct_0 @ A ) ) => ( ~ ( = @ ( k1_altcat_1 @ A @ F @ G ) @ k1_xboole_0 ) => ! [H: $i] : ( ( m1_subset_1 @ H @ ( k1_altcat_1 @ A @ F @ G ) ) => ( = @ ( k5_altcat_1 @ B @ ( k3_functor0 @ A @ B @ C @ F ) @ ( k3_functor0 @ A @ B @ C @ G ) @ ( k3_functor0 @ A @ B @ D @ G ) @ ( k6_functor0 @ A @ B @ C @ F @ G @ H ) @ ( k2_functor2 @ A @ B @ C @ D @ E @ G ) ) @ ( k5_altcat_1 @ B @ ( k3_functor0 @ A @ B @ C @ F ) @ ( k3_functor0 @ A @ B @ D @ F ) @ ( k3_functor0 @ A @ B @ D @ G ) @ ( k2_functor2 @ A @ B @ C @ D @ E @ F ) @ ( k6_functor0 @ A @ B @ D @ F @ G @ H ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),file(functor2,d7_functor2)).
thf(dt_f1_s14_yellow18,axiom,( ~ ( v2_struct_0 @ f1_s14_yellow18 ) & ( v2_altcat_1 @ f1_s14_yellow18 ) & ( v11_altcat_1 @ f1_s14_yellow18 ) & ( v12_altcat_1 @ f1_s14_yellow18 ) & ( l2_altcat_1 @ f1_s14_yellow18 ) ),file(yellow18,f1_s14_yellow18)).
thf(dt_f2_s14_yellow18,axiom,( ~ ( v2_struct_0 @ f2_s14_yellow18 ) & ( v2_altcat_1 @ f2_s14_yellow18 ) & ( v11_altcat_1 @ f2_s14_yellow18 ) & ( v12_altcat_1 @ f2_s14_yellow18 ) & ( l2_altcat_1 @ f2_s14_yellow18 ) ),file(yellow18,f2_s14_yellow18)).
thf(dt_f3_s14_yellow18,axiom,( ( v15_functor0 @ f3_s14_yellow18 @ f1_s14_yellow18 @ f2_s14_yellow18 ) & ( m2_functor0 @ f3_s14_yellow18 @ f1_s14_yellow18 @ f2_s14_yellow18 ) ),file(yellow18,f3_s14_yellow18)).
thf(dt_f4_s14_yellow18,axiom,( ( v15_functor0 @ f4_s14_yellow18 @ f1_s14_yellow18 @ f2_s14_yellow18 ) & ( m2_functor0 @ f4_s14_yellow18 @ f1_s14_yellow18 @ f2_s14_yellow18 ) ),file(yellow18,f4_s14_yellow18)).
thf(dt_f5_s14_yellow18,axiom,( $true ),file(yellow18,f5_s14_yellow18)).
thf(dt_k1_altcat_1,axiom,( $true ),file(altcat_1,k1_altcat_1)).
thf(dt_k1_binop_1,axiom,( $true ),file(binop_1,k1_binop_1)).
thf(dt_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_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_xtuple_0,axiom,( $true ),file(xtuple_0,k1_xtuple_0)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_binop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ ( k2_zfmisc_1 @ A @ B ) @ C ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) @ C ) ) ) & ( m1_subset_1 @ E @ A ) & ( m1_subset_1 @ F @ B ) ) => ( m1_subset_1 @ ( k2_binop_1 @ A @ B @ C @ D @ E @ F ) @ C ) ) ),file(binop_1,k2_binop_1)).
thf(dt_k2_functor2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) & ( m2_functor0 @ C @ A @ B ) & ( m2_functor0 @ D @ A @ B ) & ( m1_functor2 @ E @ A @ B @ C @ D ) & ( m1_subset_1 @ F @ ( u1_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k2_functor2 @ A @ B @ C @ D @ E @ F ) @ ( k1_altcat_1 @ B @ ( k3_functor0 @ A @ B @ C @ F ) @ ( k3_functor0 @ A @ B @ D @ F ) ) ) ) ),file(functor2,k2_functor2)).
thf(dt_k2_tarski,axiom,( $true ),file(tarski,k2_tarski)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k3_functor0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( l1_altcat_1 @ B ) & ( l1_functor0 @ C @ A @ B ) & ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k3_functor0 @ A @ B @ C @ D ) @ ( u1_struct_0 @ B ) ) ) ),file(functor0,k3_functor0)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_k5_altcat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l2_altcat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ E @ ( k1_altcat_1 @ A @ B @ C ) ) & ( m1_subset_1 @ F @ ( k1_altcat_1 @ A @ C @ D ) ) ) => ( m1_subset_1 @ ( k5_altcat_1 @ A @ B @ C @ D @ E @ F ) @ ( k1_altcat_1 @ A @ B @ D ) ) ) ),file(altcat_1,k5_altcat_1)).
thf(dt_k6_functor0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( l1_altcat_1 @ B ) & ( v10_functor0 @ C @ A @ B ) & ( l2_functor0 @ C @ A @ B ) & ( m1_subset_1 @ D @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ E @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ F @ ( k1_altcat_1 @ A @ D @ E ) ) ) => ( m1_subset_1 @ ( k6_functor0 @ A @ B @ C @ D @ E @ F ) @ ( k1_altcat_1 @ B @ ( k3_functor0 @ A @ B @ C @ D ) @ ( k3_functor0 @ A @ B @ C @ E ) ) ) ) ),file(functor0,k6_functor0)).
thf(dt_l1_altcat_1,axiom,( ! [A: $i] : ( ( l1_altcat_1 @ A ) => ( l1_struct_0 @ A ) ) ),file(altcat_1,l1_altcat_1)).
thf(dt_l1_functor0,axiom,( $true ),file(functor0,l1_functor0)).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_0)).
thf(dt_l2_altcat_1,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( l1_altcat_1 @ A ) ) ),file(altcat_1,l2_altcat_1)).
thf(dt_l2_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_altcat_1 @ A ) & ( l1_altcat_1 @ B ) ) => ! [C: $i] : ( ( l2_functor0 @ C @ A @ B ) => ( l1_functor0 @ C @ A @ B ) ) ) ),file(functor0,l2_functor0)).
thf(dt_m1_functor2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) & ( m2_functor0 @ C @ A @ B ) & ( m2_functor0 @ D @ A @ B ) ) => ! [E: $i] : ( ( m1_functor2 @ E @ A @ B @ C @ D ) => ( ( v1_relat_1 @ E ) & ( v4_relat_1 @ E @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ E ) & ( v1_partfun1 @ E @ ( u1_struct_0 @ A ) ) ) ) ) ),file(functor2,m1_functor2)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_m2_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ! [C: $i] : ( ( m2_functor0 @ C @ A @ B ) => ( l2_functor0 @ C @ A @ B ) ) ) ),file(functor0,m2_functor0)).
thf(dt_m2_functor2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) & ( v15_functor0 @ C @ A @ B ) & ( m2_functor0 @ C @ A @ B ) & ( v15_functor0 @ D @ A @ B ) & ( m2_functor0 @ D @ A @ B ) ) => ! [E: $i] : ( ( m2_functor2 @ E @ A @ B @ C @ D ) => ( m1_functor2 @ E @ A @ B @ C @ D ) ) ) ),file(functor2,m2_functor2)).
thf(dt_u1_altcat_1,axiom,( ! [A: $i] : ( ( l1_altcat_1 @ A ) => ( ( v1_relat_1 @ ( u1_altcat_1 @ A ) ) & ( v4_relat_1 @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) & ( v1_funct_1 @ ( u1_altcat_1 @ A ) ) & ( v1_partfun1 @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ) ),file(altcat_1,u1_altcat_1)).
thf(dt_u1_functor0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( l1_struct_0 @ A ) & ( l1_struct_0 @ B ) & ( l1_functor0 @ C @ A @ B ) ) => ( ( v1_funct_1 @ ( u1_functor0 @ A @ B @ C ) ) & ( v1_funct_2 @ ( u1_functor0 @ A @ B @ C ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) ) & ( m1_subset_1 @ ( u1_functor0 @ A @ B @ C ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) ) ) ) ) ) ),file(functor0,u1_functor0)).
thf(dt_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(existence_l1_altcat_1,axiom,( ? [A: $i] : ( l1_altcat_1 @ A ) ),file(altcat_1,l1_altcat_1)).
thf(existence_l1_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_struct_0 @ A ) & ( l1_struct_0 @ B ) ) => ? [C: $i] : ( l1_functor0 @ C @ A @ B ) ) ),file(functor0,l1_functor0)).
thf(existence_l1_struct_0,axiom,( ? [A: $i] : ( l1_struct_0 @ A ) ),file(struct_0,l1_struct_0)).
thf(existence_l2_altcat_1,axiom,( ? [A: $i] : ( l2_altcat_1 @ A ) ),file(altcat_1,l2_altcat_1)).
thf(existence_l2_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_altcat_1 @ A ) & ( l1_altcat_1 @ B ) ) => ? [C: $i] : ( l2_functor0 @ C @ A @ B ) ) ),file(functor0,l2_functor0)).
thf(existence_m1_functor2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) & ( m2_functor0 @ C @ A @ B ) & ( m2_functor0 @ D @ A @ B ) ) => ? [E: $i] : ( m1_functor2 @ E @ A @ B @ C @ D ) ) ),file(functor2,m1_functor2)).
thf(existence_m1_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( m1_subset_1 @ B @ A ) ),file(subset_1,m1_subset_1)).
thf(existence_m2_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ? [C: $i] : ( m2_functor0 @ C @ A @ B ) ) ),file(functor0,m2_functor0)).
thf(existence_m2_functor2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) & ( v15_functor0 @ C @ A @ B ) & ( m2_functor0 @ C @ A @ B ) & ( v15_functor0 @ D @ A @ B ) & ( m2_functor0 @ D @ A @ B ) ) => ? [E: $i] : ( m2_functor2 @ E @ A @ B @ C @ D ) ) ),file(functor2,m2_functor2)).
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(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(fc15_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( v4_funct_1 @ ( k2_tarski @ A @ B ) ) ) ),file(funct_1,fc15_funct_1)).
thf(fc17_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v4_funct_1 @ A ) & ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_1 @ C @ B ) ) & ( v1_funct_1 @ ( k1_funct_1 @ C @ B ) ) ) ) ),file(funct_1,fc17_funct_1)).
thf(fc19_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v3_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( v1_xboole_0 @ ( k1_funct_1 @ A @ B ) ) ) ),file(funct_1,fc19_funct_1)).
thf(fc1_altcat_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ) => ~ ( v1_xboole_0 @ ( k1_altcat_1 @ A @ B @ B ) ) ) ),file(altcat_4,fc1_altcat_4)).
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_struct_0,axiom,( ! [A: $i] : ( ( ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc1_struct_0)).
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(fc2_pboole,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( m1_subset_1 @ C @ A ) ) => ~ ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) ),file(pboole,fc2_pboole)).
thf(fc2_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc2_struct_0)).
thf(fc2_xboole_0,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) ),file(xboole_0,fc2_xboole_0)).
thf(fc3_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ~ ( v1_xboole_0 @ ( k2_tarski @ A @ B ) ) ),file(xboole_0,fc3_xboole_0)).
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(fc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),file(relat_1,fc6_relat_1)).
thf(fc6_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v7_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc6_struct_0)).
thf(fc7_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( v1_relat_1 @ ( k2_tarski @ ( k4_tarski @ A @ B ) @ ( k4_tarski @ C @ D ) ) ) ),file(relat_1,fc7_relat_1)).
thf(fc7_struct_0,axiom,( ! [A: $i] : ( ( ( v7_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc7_struct_0)).
thf(fc8_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) => ( ( v1_relat_1 @ ( k1_funct_1 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_1 @ A @ B ) ) ) ) ),file(funcop_1,fc8_funcop_1)).
thf(fc8_struct_0,axiom,( ! [A: $i] : ( ( ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc8_struct_0)).
thf(fc9_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc9_struct_0)).
thf(rc11_functor0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_altcat_1 @ A ) ) => ? [B: $i] : ( ( l2_functor0 @ B @ A @ A ) & ( v8_functor0 @ B @ A @ A ) & ( v10_functor0 @ B @ A @ A ) ) ) ),file(functor0,rc11_functor0)).
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_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_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_ordinal1,axiom,( ? [A: $i] : ( v3_ordinal1 @ A ) ),file(ordinal1,rc1_ordinal1)).
thf(rc1_pboole,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(pboole,rc1_pboole)).
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_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(rc1_xtuple_0,axiom,( ? [A: $i] : ( v1_xtuple_0 @ A ) ),file(xtuple_0,rc1_xtuple_0)).
thf(rc21_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_zfmisc_1 @ B ) ) ) ),file(struct_0,rc21_struct_0)).
thf(rc22_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v7_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_zfmisc_1 @ B ) ) ) ),file(struct_0,rc22_struct_0)).
thf(rc2_altcat_2,axiom,( ? [A: $i] : ( ( l1_altcat_1 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_altcat_2 @ A ) ) ),file(altcat_2,rc2_altcat_2)).
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_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) ) ),file(ordinal1,rc2_ordinal1)).
thf(rc2_pboole,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(pboole,rc2_pboole)).
thf(rc2_relat_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ),file(relat_1,rc2_relat_1)).
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(rc3_altcat_2,axiom,( ? [A: $i] : ( ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_altcat_2 @ A ) ) ),file(altcat_2,rc3_altcat_2)).
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_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_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_pboole,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(pboole,rc3_pboole)).
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_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_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_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_altcat_1 @ A ) & ( l1_altcat_1 @ B ) ) => ? [C: $i] : ( ( l2_functor0 @ C @ A @ B ) & ( v10_functor0 @ C @ A @ B ) ) ) ),file(functor0,rc4_functor0)).
thf(rc4_ordinal1,axiom,( ? [A: $i] : ( v7_ordinal1 @ A ) ),file(ordinal1,rc4_ordinal1)).
thf(rc4_pboole,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_funcop_1 @ B ) ) ),file(pboole,rc4_pboole)).
thf(rc4_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) ) ) ),file(struct_0,rc4_struct_0)).
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_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) ),file(funct_1,rc5_funct_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_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_funct_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v4_funct_1 @ A ) ) ),file(funct_1,rc7_funct_1)).
thf(rc7_functor0,axiom,( ? [A: $i] : ( ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_altcat_2 @ A ) ) ),file(functor0,rc7_functor0)).
thf(rc7_pboole,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ B ) & ( v5_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ B ) ) ) ),file(pboole,rc7_pboole)).
thf(rc8_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v1_altcat_2 @ B ) & ( l1_altcat_1 @ B ) ) => ? [C: $i] : ( ( l2_functor0 @ C @ A @ B ) & ( v6_functor0 @ C @ A @ B ) & ( v8_functor0 @ C @ A @ B ) ) ) ),file(functor0,rc8_functor0)).
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(rd1_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k1_xtuple_0 @ ( k4_tarski @ A @ B ) ) @ A ) ),file(xtuple_0,rd1_xtuple_0)).
thf(redefinition_k2_binop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ ( k2_zfmisc_1 @ A @ B ) @ C ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) @ C ) ) ) & ( m1_subset_1 @ E @ A ) & ( m1_subset_1 @ F @ B ) ) => ( = @ ( k2_binop_1 @ A @ B @ C @ D @ E @ F ) @ ( k1_binop_1 @ D @ E @ F ) ) ) ),file(binop_1,k2_binop_1)).
thf(reflexivity_r1_functor2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) & ( m2_functor0 @ C @ A @ B ) & ( m2_functor0 @ D @ A @ B ) ) => ( r1_functor2 @ A @ B @ C @ C ) ) ),file(functor2,r1_functor2)).
thf(reflexivity_r1_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( r1_tarski @ A @ A ) ),file(tarski,r1_tarski)).
thf(reflexivity_r2_functor2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) & ( v15_functor0 @ C @ A @ B ) & ( m2_functor0 @ C @ A @ B ) & ( v15_functor0 @ D @ A @ B ) & ( m2_functor0 @ D @ A @ B ) ) => ( r2_functor2 @ A @ B @ C @ C ) ) ),file(functor2,r2_functor2)).
thf(spc1_boole,axiom,( ~ ( v1_xboole_0 @ np__1 ) ),file(boole,spc1_boole)).
thf(t1_subset,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ( m1_subset_1 @ A @ B ) ) ),file(subset,t1_subset)).
thf(t2_subset,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ A @ B ) => ( ( v1_xboole_0 @ B ) | ( r2_hidden @ A @ B ) ) ) ),file(subset,t2_subset)).
thf(t3_subset,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) ) <=> ( r1_tarski @ A @ B ) ) ),file(subset,t3_subset)).
thf(t4_subset,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( r2_hidden @ A @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) ) => ( m1_subset_1 @ A @ C ) ) ),file(subset,t4_subset)).
thf(t5_subset,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ~ ( ( r2_hidden @ A @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) & ( v1_xboole_0 @ C ) ) ),file(subset,t5_subset)).
thf(t6_boole,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( = @ A @ k1_xboole_0 ) ) ),file(boole,t6_boole)).
thf(t7_boole,axiom,( ! [A: $i] : ! [B: $i] : ~ ( ( r2_hidden @ A @ B ) & ( v1_xboole_0 @ B ) ) ),file(boole,t7_boole)).
thf(t8_boole,axiom,( ! [A: $i] : ! [B: $i] : ~ ( ( v1_xboole_0 @ A ) & ~ ( = @ A @ B ) & ( v1_xboole_0 @ B ) ) ),file(boole,t8_boole)).
thf(s5_pboole,axiom,( ! [A: $i > $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ B ) & ! [D: $i] : ( ( m1_subset_1 @ D @ B ) => ( = @ ( k1_funct_1 @ C @ D ) @ ( A @ D ) ) ) ) ),file(pboole,s5_pboole)).
thf(s14_yellow18,conjecture,( ( ! [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ f1_s14_yellow18 ) ) => ( r2_hidden @ ( f5_s14_yellow18 @ A ) @ ( k1_altcat_1 @ f2_s14_yellow18 @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f3_s14_yellow18 @ A ) @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f4_s14_yellow18 @ A ) ) ) ) & ! [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ f1_s14_yellow18 ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ f1_s14_yellow18 ) ) => ( ~ ( = @ ( k1_altcat_1 @ f1_s14_yellow18 @ A @ B ) @ k1_xboole_0 ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_altcat_1 @ f1_s14_yellow18 @ A @ B ) ) => ! [D: $i] : ( ( m1_subset_1 @ D @ ( k1_altcat_1 @ f2_s14_yellow18 @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f3_s14_yellow18 @ A ) @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f4_s14_yellow18 @ A ) ) ) => ( ( = @ D @ ( f5_s14_yellow18 @ A ) ) => ! [E: $i] : ( ( m1_subset_1 @ E @ ( k1_altcat_1 @ f2_s14_yellow18 @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f3_s14_yellow18 @ B ) @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f4_s14_yellow18 @ B ) ) ) => ( ( = @ E @ ( f5_s14_yellow18 @ B ) ) => ( = @ ( k5_altcat_1 @ f2_s14_yellow18 @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f3_s14_yellow18 @ A ) @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f3_s14_yellow18 @ B ) @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f4_s14_yellow18 @ B ) @ ( k6_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f3_s14_yellow18 @ A @ B @ C ) @ E ) @ ( k5_altcat_1 @ f2_s14_yellow18 @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f3_s14_yellow18 @ A ) @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f4_s14_yellow18 @ A ) @ ( k3_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f4_s14_yellow18 @ B ) @ D @ ( k6_functor0 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f4_s14_yellow18 @ A @ B @ C ) ) ) ) ) ) ) ) ) ) ) ) => ? [A: $i] : ( ( m2_functor2 @ A @ f1_s14_yellow18 @ f2_s14_yellow18 @ f3_s14_yellow18 @ f4_s14_yellow18 ) & ( r2_functor2 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f3_s14_yellow18 @ f4_s14_yellow18 ) & ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ f1_s14_yellow18 ) ) => ( = @ ( k2_functor2 @ f1_s14_yellow18 @ f2_s14_yellow18 @ f3_s14_yellow18 @ f4_s14_yellow18 @ A @ B ) @ ( f5_s14_yellow18 @ B ) ) ) ) ),file(yellow18,s14_yellow18)).
