% Mizar problem: e1_33_2_1,waybel34,714,8 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(c1_33_type,type,( c1_33__waybel34: $i )).
thf(g2_altcat_1_type,type,( g2_altcat_1: $i > $i > $i > $i )).
thf(g2_functor0_type,type,( g2_functor0: $i > $i > $i > $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_partfun1_type,type,( k1_partfun1: $i > $i > $i > $i > $i > $i > $i )).
thf(k1_waybel34_type,type,( k1_waybel34: $i > $i > $i > $i )).
thf(k1_xboole_0_type,type,( k1_xboole_0: $i )).
thf(k1_yellow21_type,type,( k1_yellow21: $i > $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_altcat_1_type,type,( k2_altcat_1: $i > $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_altcat_1_type,type,( k3_altcat_1: $i > $i > $i > $i )).
thf(k3_functor0_type,type,( k3_functor0: $i > $i > $i > $i > $i )).
thf(k3_relat_1_type,type,( k3_relat_1: $i > $i > $i )).
thf(k3_struct_0_type,type,( k3_struct_0: $i > $i )).
thf(k3_yellow21_type,type,( k3_yellow21: $i > $i > $i )).
thf(k3_zfmisc_1_type,type,( k3_zfmisc_1: $i > $i > $i > $i )).
thf(k4_waybel34_type,type,( k4_waybel34: $i > $i )).
thf(k4_yellow21_type,type,( k4_yellow21: $i > $i > $i )).
thf(k5_waybel34_type,type,( k5_waybel34: $i > $i )).
thf(k5_yellow21_type,type,( k5_yellow21: $i > $i > $i > $i > $i )).
thf(k8_functor0_type,type,( k8_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(u2_altcat_1_type,type,( u2_altcat_1: $i > $i )).
thf(u2_functor0_type,type,( u2_functor0: $i > $i > $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_orders_2_type,type,( l1_orders_2: $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_functor0_type,type,( m1_functor0: $i > $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_pboole_type,type,( m2_pboole: $i > $i > $i > $i > $o )).
thf(r2_funct_2_type,type,( r2_funct_2: $i > $i > $i > $i > $o )).
thf(v10_waybel_1_type,type,( v10_waybel_1: $i > $o )).
thf(v11_altcat_1_type,type,( v11_altcat_1: $i > $o )).
thf(v11_functor0_type,type,( v11_functor0: $i > $i > $i > $o )).
thf(v11_quantal1_type,type,( v11_quantal1: $i > $o )).
thf(v11_waybel_1_type,type,( v11_waybel_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(v12_waybel_0_type,type,( v12_waybel_0: $i > $i > $o )).
thf(v13_struct_0_type,type,( v13_struct_0: $i > $i > $o )).
thf(v13_waybel_0_type,type,( v13_waybel_0: $i > $i > $o )).
thf(v14_functor0_type,type,( v14_functor0: $i > $i > $i > $o )).
thf(v16_functor0_type,type,( v16_functor0: $i > $i > $i > $o )).
thf(v16_waybel_0_type,type,( v16_waybel_0: $i > $o )).
thf(v17_waybel_0_type,type,( v17_waybel_0: $i > $i > $i > $o )).
thf(v18_waybel_0_type,type,( v18_waybel_0: $i > $i > $i > $o )).
thf(v19_waybel_0_type,type,( v19_waybel_0: $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_lattice3_type,type,( v1_lattice3: $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_waybel11_type,type,( v1_waybel11: $i > $i > $o )).
thf(v1_waybel_0_type,type,( v1_waybel_0: $i > $i > $o )).
thf(v1_waybel_2_type,type,( v1_waybel_2: $i > $o )).
thf(v1_waybel_8_type,type,( v1_waybel_8: $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_yellow21_type,type,( v1_yellow21: $i > $o )).
thf(v1_yellow_0_type,type,( v1_yellow_0: $i > $o )).
thf(v1_zfmisc_1_type,type,( v1_zfmisc_1: $i > $o )).
thf(v20_waybel_0_type,type,( v20_waybel_0: $i > $i > $i > $o )).
thf(v21_waybel_0_type,type,( v21_waybel_0: $i > $i > $i > $o )).
thf(v22_waybel_0_type,type,( v22_waybel_0: $i > $i > $i > $o )).
thf(v23_waybel_0_type,type,( v23_waybel_0: $i > $i > $i > $o )).
thf(v24_waybel_0_type,type,( v24_waybel_0: $i > $o )).
thf(v25_waybel_0_type,type,( v25_waybel_0: $i > $o )).
thf(v2_altcat_1_type,type,( v2_altcat_1: $i > $o )).
thf(v2_finset_1_type,type,( v2_finset_1: $i > $o )).
thf(v2_funct_1_type,type,( v2_funct_1: $i > $o )).
thf(v2_lattice3_type,type,( v2_lattice3: $i > $o )).
thf(v2_orders_2_type,type,( v2_orders_2: $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_waybel11_type,type,( v2_waybel11: $i > $i > $o )).
thf(v2_waybel_0_type,type,( v2_waybel_0: $i > $i > $o )).
thf(v2_waybel_1_type,type,( v2_waybel_1: $i > $o )).
thf(v2_waybel_2_type,type,( v2_waybel_2: $i > $o )).
thf(v2_waybel_3_type,type,( v2_waybel_3: $i > $o )).
thf(v2_waybel_8_type,type,( v2_waybel_8: $i > $o )).
thf(v2_yellow18_type,type,( v2_yellow18: $i > $o )).
thf(v2_yellow21_type,type,( v2_yellow21: $i > $o )).
thf(v2_yellow_0_type,type,( v2_yellow_0: $i > $o )).
thf(v3_lattice3_type,type,( v3_lattice3: $i > $o )).
thf(v3_orders_2_type,type,( v3_orders_2: $i > $o )).
thf(v3_relat_1_type,type,( v3_relat_1: $i > $o )).
thf(v3_waybel11_type,type,( v3_waybel11: $i > $i > $o )).
thf(v3_waybel_3_type,type,( v3_waybel_3: $i > $o )).
thf(v3_waybel_8_type,type,( v3_waybel_8: $i > $o )).
thf(v3_yellow18_type,type,( v3_yellow18: $i > $o )).
thf(v3_yellow21_type,type,( v3_yellow21: $i > $o )).
thf(v3_yellow_0_type,type,( v3_yellow_0: $i > $o )).
thf(v4_orders_2_type,type,( v4_orders_2: $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $i > $i > $o )).
thf(v4_yellow18_type,type,( v4_yellow18: $i > $o )).
thf(v5_finset_1_type,type,( v5_finset_1: $i > $o )).
thf(v5_orders_2_type,type,( v5_orders_2: $i > $o )).
thf(v5_orders_3_type,type,( v5_orders_3: $i > $i > $i > $o )).
thf(v5_relat_1_type,type,( v5_relat_1: $i > $i > $o )).
thf(v5_waybel_1_type,type,( v5_waybel_1: $i > $i > $i > $o )).
thf(v6_altcat_1_type,type,( v6_altcat_1: $i > $o )).
thf(v6_functor0_type,type,( v6_functor0: $i > $i > $i > $o )).
thf(v6_orders_2_type,type,( v6_orders_2: $i > $i > $o )).
thf(v6_waybel_1_type,type,( v6_waybel_1: $i > $i > $o )).
thf(v7_struct_0_type,type,( v7_struct_0: $i > $o )).
thf(v7_waybel_1_type,type,( v7_waybel_1: $i > $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(v8_waybel_1_type,type,( v8_waybel_1: $i > $i > $o )).
thf(v9_altcat_1_type,type,( v9_altcat_1: $i > $o )).
thf(v9_functor0_type,type,( v9_functor0: $i > $i > $i > $o )).
thf(v9_waybel_1_type,type,( v9_waybel_1: $i > $o )).
thf(cc5_waybel_1,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v9_waybel_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) ) ) ) ),file(waybel_1,cc5_waybel_1)).
thf(cc6_waybel_1,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v9_waybel_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_waybel_1 @ A ) ) ) ) ),file(waybel_1,cc6_waybel_1)).
thf(cc6_waybel_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v9_waybel_1 @ A ) & ( v3_lattice3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_waybel_1 @ A ) & ( v2_waybel_2 @ A ) ) ) ) ),file(waybel_2,cc6_waybel_2)).
thf(cc7_waybel_1,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v9_waybel_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_yellow_0 @ A ) ) ) ) ),file(waybel_1,cc7_waybel_1)).
thf(cc10_waybel_1,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v11_waybel_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v9_waybel_1 @ A ) ) ) ) ),file(waybel_1,cc10_waybel_1)).
thf(cc4_waybel_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v2_waybel_2 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v24_waybel_0 @ A ) & ( v1_waybel_2 @ A ) ) ) ) ),file(waybel_2,cc4_waybel_2)).
thf(cc4_waybel_3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v3_waybel_3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v24_waybel_0 @ A ) & ( v2_waybel_3 @ A ) ) ) ) ),file(waybel_3,cc4_waybel_3)).
thf(cc7_waybel_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_waybel_1 @ A ) & ( v3_lattice3 @ A ) & ( v2_waybel_2 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v9_waybel_1 @ A ) ) ) ) ),file(waybel_2,cc7_waybel_2)).
thf(cc8_waybel_1,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v11_waybel_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v3_yellow_0 @ A ) & ( v2_waybel_1 @ A ) & ( v10_waybel_1 @ A ) ) ) ) ),file(waybel_1,cc8_waybel_1)).
thf(cc1_waybel_8,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v2_waybel_8 @ A ) ) => ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v3_waybel_3 @ A ) ) ) ) ),file(waybel_8,cc1_waybel_8)).
thf(cc2_waybel_8,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v2_waybel_8 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v24_waybel_0 @ A ) & ( v1_waybel_8 @ A ) ) ) ) ),file(waybel_8,cc2_waybel_8)).
thf(cc5_waybel_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v24_waybel_0 @ A ) & ( v1_waybel_2 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v2_waybel_2 @ A ) ) ) ) ),file(waybel_2,cc5_waybel_2)).
thf(cc5_waybel_3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_yellow_0 @ A ) & ( v1_lattice3 @ A ) & ( v24_waybel_0 @ A ) & ( v2_waybel_3 @ A ) ) => ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_yellow_0 @ A ) & ( v1_lattice3 @ A ) & ( v3_waybel_3 @ A ) ) ) ) ),file(waybel_3,cc5_waybel_3)).
thf(cc9_waybel_1,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v3_yellow_0 @ A ) & ( v2_waybel_1 @ A ) & ( v10_waybel_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v11_waybel_1 @ A ) ) ) ) ),file(waybel_1,cc9_waybel_1)).
thf(dt_k2_altcat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) ) => ( ( v1_relat_1 @ ( k2_altcat_1 @ A @ B ) ) & ( v4_relat_1 @ ( k2_altcat_1 @ A @ B ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) & ( v1_funct_1 @ ( k2_altcat_1 @ A @ B ) ) & ( v1_partfun1 @ ( k2_altcat_1 @ A @ B ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) ) ) ),file(altcat_1,k2_altcat_1)).
thf(dt_k3_altcat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ ( k2_zfmisc_1 @ A @ A ) ) ) => ( ( v1_relat_1 @ ( k3_altcat_1 @ A @ B @ C ) ) & ( v4_relat_1 @ ( k3_altcat_1 @ A @ B @ C ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) & ( v1_funct_1 @ ( k3_altcat_1 @ A @ B @ C ) ) & ( v1_partfun1 @ ( k3_altcat_1 @ A @ B @ C ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) ) ) ),file(altcat_1,k3_altcat_1)).
thf(dt_k3_zfmisc_1,axiom,( $true ),file(zfmisc_1,k3_zfmisc_1)).
thf(dt_m2_pboole,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_partfun1 @ C @ A ) ) => ! [D: $i] : ( ( m2_pboole @ D @ A @ B @ C ) => ( ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ A ) & ( v1_funct_1 @ D ) & ( v1_partfun1 @ D @ A ) ) ) ) ),file(pboole,m2_pboole)).
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(cc13_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v1_yellow_0 @ A ) & ( v24_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) ) ) ) ),file(waybel_0,cc13_waybel_0)).
thf(cc15_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_yellow_0 @ A ) & ( v25_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_yellow_0 @ A ) ) ) ) ),file(waybel_0,cc15_waybel_0)).
thf(cc1_waybel_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v16_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) ) ) ) ),file(waybel_2,cc1_waybel_2)).
thf(cc1_waybel_3,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v16_waybel_0 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( ( v1_waybel_0 @ B @ A ) & ( v2_waybel_0 @ B @ A ) ) ) ) ),file(waybel_3,cc1_waybel_3)).
thf(cc1_yellow_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_yellow_0 @ A ) & ( v24_waybel_0 @ A ) & ( v25_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) ) ) ) ),file(yellow_2,cc1_yellow_2)).
thf(cc2_waybel_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v13_struct_0 @ A @ np__1 ) & ( v3_orders_2 @ A ) ) => ( ( v13_struct_0 @ A @ np__1 ) & ( v3_orders_2 @ A ) & ( v2_waybel_1 @ A ) & ( v10_waybel_1 @ A ) ) ) ) ),file(waybel_2,cc2_waybel_2)).
thf(cc2_waybel_3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_yellow_0 @ A ) & ( v16_waybel_0 @ A ) & ( v24_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) & ( v16_waybel_0 @ A ) ) ) ) ),file(waybel_3,cc2_waybel_3)).
thf(cc2_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v13_struct_0 @ A @ np__1 ) & ( v3_orders_2 @ A ) ) => ( ( v13_struct_0 @ A @ np__1 ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) ) ) ) ),file(yellow_0,cc2_yellow_0)).
thf(cc3_waybel11,axiom,( ! [A: $i] : ( ( ( v13_struct_0 @ A @ np__1 ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( v13_waybel_0 @ B @ A ) ) ) ),file(waybel11,cc3_waybel11)).
thf(cc3_waybel_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v13_struct_0 @ A @ np__1 ) & ( v3_orders_2 @ A ) ) => ( ( v13_struct_0 @ A @ np__1 ) & ( v3_orders_2 @ A ) & ( v1_waybel_2 @ A ) ) ) ) ),file(waybel_2,cc3_waybel_2)).
thf(cc3_waybel_3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v13_struct_0 @ A @ np__1 ) & ( v3_orders_2 @ A ) ) => ( ( v13_struct_0 @ A @ np__1 ) & ( v3_orders_2 @ A ) & ( v2_waybel_3 @ A ) ) ) ) ),file(waybel_3,cc3_waybel_3)).
thf(cc3_waybel_8,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v3_waybel_8 @ A ) ) => ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v2_waybel_8 @ A ) ) ) ) ),file(waybel_8,cc3_waybel_8)).
thf(cc3_yellow18,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v9_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow18 @ A ) & ( v3_yellow18 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v4_yellow18 @ A ) ) ) ) ),file(yellow18,cc3_yellow18)).
thf(cc4_finset_1,axiom,( ! [A: $i] : ( ( v1_zfmisc_1 @ A ) => ( v1_finset_1 @ A ) ) ),file(finset_1,cc4_finset_1)).
thf(cc4_setfam_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ~ ( v2_setfam_1 @ A ) ) ),file(setfam_1,cc4_setfam_1)).
thf(cc4_yellow18,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow18 @ A ) & ( l2_altcat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ! [D: $i] : ( ( m1_subset_1 @ D @ ( k1_altcat_1 @ A @ B @ C ) ) => ( ( v1_relat_1 @ D ) & ( v1_funct_1 @ D ) ) ) ) ),file(yellow18,cc4_yellow18)).
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(cc5_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v1_yellow_0 @ A ) & ( v2_yellow_0 @ A ) ) => ( v3_yellow_0 @ A ) ) ) ),file(yellow_0,cc5_yellow_0)).
thf(cc6_waybel_3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) & ( v16_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v16_waybel_0 @ A ) & ( v2_waybel_3 @ A ) ) ) ) ),file(waybel_3,cc6_waybel_3)).
thf(fc11_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ~ ( v1_xboole_0 @ C ) ) => ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ) ),file(subset_1,fc11_subset_1)).
thf(fc15_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_finset_1 @ A ) & ( v1_finset_1 @ B ) & ( v1_finset_1 @ C ) ) => ( v1_finset_1 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ) ),file(finset_1,fc15_finset_1)).
thf(rc12_waybel_0,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ A ) & ( v2_orders_2 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v16_waybel_0 @ A ) ) ),file(waybel_0,rc12_waybel_0)).
thf(rc1_waybel_3,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ A ) & ( v2_orders_2 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) & ( v16_waybel_0 @ A ) ) ),file(waybel_3,rc1_waybel_3)).
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_yellow_9,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ B ) & ( v3_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( v2_yellow_0 @ B ) & ( l1_orders_2 @ B ) ) => ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) & ~ ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ A ) ) & ( v5_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v17_waybel_0 @ C @ A @ B ) ) ) ),file(yellow_9,rc2_yellow_9)).
thf(rc3_yellow_9,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ B ) & ( v3_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( v1_yellow_0 @ B ) & ( l1_orders_2 @ B ) ) => ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) & ~ ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ A ) ) & ( v5_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v18_waybel_0 @ C @ A @ B ) ) ) ),file(yellow_9,rc3_yellow_9)).
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(rc5_waybel11,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ( v12_waybel_0 @ B @ A ) & ( v13_waybel_0 @ B @ A ) & ( v1_waybel11 @ B @ A ) & ( v2_waybel11 @ B @ A ) ) ) ),file(waybel11,rc5_waybel11)).
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_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(spc1_boole,axiom,( ~ ( v1_xboole_0 @ np__1 ) ),file(boole,spc1_boole)).
thf(free_g2_altcat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( m2_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) ) ) => ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( = @ ( g2_altcat_1 @ A @ B @ C ) @ ( g2_altcat_1 @ D @ E @ F ) ) => ( ( = @ A @ D ) & ( = @ B @ E ) & ( = @ C @ F ) ) ) ) ),file(altcat_1,g2_altcat_1)).
thf(dt_g2_altcat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( m2_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) ) ) => ( ( v6_altcat_1 @ ( g2_altcat_1 @ A @ B @ C ) ) & ( l2_altcat_1 @ ( g2_altcat_1 @ A @ B @ C ) ) ) ) ),file(altcat_1,g2_altcat_1)).
thf(dt_m1_functor0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ A ) & ( v1_funct_1 @ D ) & ( v1_partfun1 @ D @ A ) & ( v1_relat_1 @ E ) & ( v4_relat_1 @ E @ B ) & ( v1_funct_1 @ E ) & ( v1_partfun1 @ E @ B ) ) => ! [F: $i] : ( ( m1_functor0 @ F @ A @ B @ C @ D @ E ) => ( ( v1_relat_1 @ F ) & ( v4_relat_1 @ F @ A ) & ( v1_funct_1 @ F ) & ( v1_partfun1 @ F @ A ) ) ) ) ),file(functor0,m1_functor0)).
thf(dt_u2_altcat_1,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( m2_pboole @ ( u2_altcat_1 @ A ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k3_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ A ) ) @ ( k2_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) ) ) ) ),file(altcat_1,u2_altcat_1)).
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(cc10_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v3_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v24_waybel_0 @ A ) ) => ( ( v3_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_yellow_0 @ A ) ) ) ) ),file(waybel_0,cc10_waybel_0)).
thf(cc12_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v25_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v1_yellow_0 @ A ) ) ) ) ),file(waybel_0,cc12_waybel_0)).
thf(cc14_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v25_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_lattice3 @ A ) ) ) ) ),file(waybel_0,cc14_waybel_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_functor0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ A ) & ( v1_funct_1 @ D ) & ( v1_partfun1 @ D @ A ) & ( v1_relat_1 @ E ) & ( v4_relat_1 @ E @ B ) & ( v1_funct_1 @ E ) & ( v1_partfun1 @ E @ B ) ) => ! [F: $i] : ( ( m1_functor0 @ F @ A @ B @ C @ D @ E ) => ( v1_funcop_1 @ F ) ) ) ),file(functor0,cc1_functor0)).
thf(cc1_waybel10,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) => ( ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v6_waybel_1 @ B @ A ) ) => ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v11_quantal1 @ B ) & ( v5_orders_3 @ B @ A @ A ) ) ) ) ) ),file(waybel10,cc1_waybel10)).
thf(cc1_waybel11,axiom,( ! [A: $i] : ( ( ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( v1_finset_1 @ B ) ) ) ),file(waybel11,cc1_waybel11)).
thf(cc1_waybel17,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ B ) & ( v3_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( l1_orders_2 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v22_waybel_0 @ C @ A @ B ) ) => ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v5_orders_3 @ C @ A @ B ) ) ) ) ) ),file(waybel17,cc1_waybel17)).
thf(cc1_waybel21,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) & ( v3_orders_2 @ B ) & ( v4_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( v2_lattice3 @ B ) & ( l1_orders_2 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v19_waybel_0 @ C @ A @ B ) ) => ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v5_orders_3 @ C @ A @ B ) ) ) ) ) ),file(waybel21,cc1_waybel21)).
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_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(cc2_yellow18,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v4_yellow18 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v9_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow18 @ A ) & ( v3_yellow18 @ A ) ) ) ) ),file(yellow18,cc2_yellow18)).
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_waybel_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) => ( ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v7_waybel_1 @ B @ A ) ) => ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v6_waybel_1 @ B @ A ) ) ) ) ) ),file(waybel_1,cc3_waybel_1)).
thf(cc4_waybel_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) => ( ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v8_waybel_1 @ B @ A ) ) => ( ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v6_waybel_1 @ B @ A ) ) ) ) ) ),file(waybel_1,cc4_waybel_1)).
thf(cc4_waybel_8,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v7_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) ) => ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v3_waybel_8 @ A ) ) ) ) ),file(waybel_8,cc4_waybel_8)).
thf(cc4_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v3_yellow_0 @ A ) => ( ( v1_yellow_0 @ A ) & ( v2_yellow_0 @ A ) ) ) ) ),file(yellow_0,cc4_yellow_0)).
thf(cc5_finset_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_zfmisc_1 @ A ) ) ),file(finset_1,cc5_finset_1)).
thf(cc5_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 ) => ( ( ( v11_functor0 @ C @ A @ B ) & ( v14_functor0 @ C @ A @ B ) ) => ( v16_functor0 @ C @ A @ B ) ) ) ) ),file(functor2,cc5_functor2)).
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_waybel11,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v8_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( v1_waybel11 @ B @ A ) ) ) ),file(waybel11,cc5_waybel11)).
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(cc6_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) & ( v3_orders_2 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v16_waybel_0 @ A ) ) ) ) ),file(waybel_0,cc6_waybel_0)).
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_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_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(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(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(fc15_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v2_relat_1 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(relat_1,fc15_relat_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(fc20_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ B @ A ) ) & ( v1_finset_1 @ ( k3_relat_1 @ B @ A ) ) ) ) ),file(finset_1,fc20_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(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_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_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(rc10_waybel_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v2_waybel_0 @ B @ A ) & ( v13_waybel_0 @ B @ A ) ) ) ),file(waybel_0,rc10_waybel_0)).
thf(rc11_waybel_0,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_waybel_0 @ B @ A ) & ( v2_waybel_0 @ B @ A ) & ( v12_waybel_0 @ B @ A ) & ( v13_waybel_0 @ B @ A ) ) ) ),file(waybel_0,rc11_waybel_0)).
thf(rc1_finset_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) ) ),file(finset_1,rc1_finset_1)).
thf(rc1_lattice5,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) & ( v3_orders_2 @ B ) & ( v4_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( v1_lattice3 @ B ) & ( v2_lattice3 @ B ) & ( l1_orders_2 @ B ) ) => ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ A ) ) & ( v5_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v19_waybel_0 @ C @ A @ B ) & ( v20_waybel_0 @ C @ A @ B ) ) ) ),file(lattice5,rc1_lattice5)).
thf(rc1_waybel11,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_finset_1 @ B ) & ( v1_waybel_0 @ B @ A ) ) ) ),file(waybel11,rc1_waybel11)).
thf(rc1_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ( v1_waybel_0 @ B @ A ) & ( v2_waybel_0 @ B @ A ) ) ) ),file(waybel_0,rc1_waybel_0)).
thf(rc1_waybel_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v5_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v6_waybel_1 @ B @ A ) ) ) ),file(waybel_1,rc1_waybel_1)).
thf(rc1_yellow21,axiom,( ? [A: $i] : ( ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v6_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v1_altcat_2 @ A ) & ( v3_yellow21 @ A ) ) ),file(yellow21,rc1_yellow21)).
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_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_relat_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ),file(relat_1,rc2_relat_1)).
thf(rc2_waybel10,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v5_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v2_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v17_waybel_0 @ B @ A @ A ) & ( v18_waybel_0 @ B @ A @ A ) & ( v7_waybel_1 @ B @ A ) & ( v8_waybel_1 @ B @ A ) ) ) ),file(waybel10,rc2_waybel10)).
thf(rc2_waybel_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_finset_1 @ B ) & ( v1_waybel_0 @ B @ A ) & ( v2_waybel_0 @ B @ A ) ) ) ),file(waybel_0,rc2_waybel_0)).
thf(rc2_waybel_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v5_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v7_waybel_1 @ B @ A ) ) ) ),file(waybel_1,rc2_waybel_1)).
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_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_orders_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ( v6_orders_2 @ B @ A ) ) ) ),file(orders_2,rc3_orders_2)).
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(rc3_waybel11,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ( v2_waybel11 @ B @ A ) & ( v3_waybel11 @ B @ A ) ) ) ),file(waybel11,rc3_waybel11)).
thf(rc3_waybel_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v5_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v8_waybel_1 @ B @ A ) ) ) ),file(waybel_1,rc3_waybel_1)).
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_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(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(rc7_functor0,axiom,( ? [A: $i] : ( ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_altcat_2 @ A ) ) ),file(functor0,rc7_functor0)).
thf(rc7_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ( v12_waybel_0 @ B @ A ) & ( v13_waybel_0 @ B @ A ) ) ) ),file(waybel_0,rc7_waybel_0)).
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_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(rc8_waybel_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v12_waybel_0 @ B @ A ) & ( v13_waybel_0 @ B @ A ) ) ) ),file(waybel_0,rc8_waybel_0)).
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_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ( v12_altcat_1 @ B ) & ( l2_altcat_1 @ B ) ) => ? [C: $i] : ( ( l2_functor0 @ C @ A @ B ) & ( v6_functor0 @ C @ A @ B ) & ( v8_functor0 @ C @ A @ B ) & ( v9_functor0 @ C @ A @ B ) & ( v12_functor0 @ C @ A @ B ) ) ) ),file(functor0,rc9_functor0)).
thf(rc9_waybel_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_waybel_0 @ B @ A ) & ( v12_waybel_0 @ B @ A ) ) ) ),file(waybel_0,rc9_waybel_0)).
thf(free_g2_functor0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( l1_altcat_1 @ A ) & ( l1_altcat_1 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ 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 @ 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 ) ) ) ) ) & ( m1_functor0 @ D @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ C @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ B ) ) ) => ! [E: $i] : ! [F: $i] : ! [G: $i] : ! [H: $i] : ( ( = @ ( g2_functor0 @ A @ B @ C @ D ) @ ( g2_functor0 @ E @ F @ G @ H ) ) => ( ( = @ A @ E ) & ( = @ B @ F ) & ( = @ C @ G ) & ( = @ D @ H ) ) ) ) ),file(functor0,g2_functor0)).
thf(abstractness_v6_altcat_1,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( v6_altcat_1 @ A ) => ( = @ A @ ( g2_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) @ ( u2_altcat_1 @ A ) ) ) ) ) ),file(altcat_1,v6_altcat_1)).
thf(dt_g2_functor0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( l1_altcat_1 @ A ) & ( l1_altcat_1 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ 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 @ 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 ) ) ) ) ) & ( m1_functor0 @ D @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) ) @ C @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ B ) ) ) => ( ( v9_functor0 @ ( g2_functor0 @ A @ B @ C @ D ) @ A @ B ) & ( l2_functor0 @ ( g2_functor0 @ A @ B @ C @ D ) @ A @ B ) ) ) ),file(functor0,g2_functor0)).
thf(dt_k1_yellow21,axiom,( ! [A: $i] : ( l1_struct_0 @ ( k1_yellow21 @ A ) ) ),file(yellow21,k1_yellow21)).
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_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_u2_functor0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( l1_altcat_1 @ A ) & ( l1_altcat_1 @ B ) & ( l2_functor0 @ C @ A @ B ) ) => ( m1_functor0 @ ( u2_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 ) ) @ ( u1_functor0 @ A @ B @ C ) @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ B ) ) ) ),file(functor0,u2_functor0)).
thf(cc11_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v3_lattice3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v24_waybel_0 @ A ) & ( v25_waybel_0 @ A ) ) ) ) ),file(waybel_0,cc11_waybel_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_finset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_finset_1 @ A ) ) ),file(finset_1,cc1_finset_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_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_relat_1 @ A ) ) ),file(relat_1,cc1_relat_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(cc1_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( ( v1_xboole_0 @ B ) => ( ( v1_waybel_0 @ B @ A ) & ( v2_waybel_0 @ B @ A ) ) ) ) ) ),file(waybel_0,cc1_waybel_0)).
thf(cc1_yellow21,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v3_yellow21 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow21 @ A ) ) ) ) ),file(yellow21,cc1_yellow21)).
thf(cc1_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_lattice3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) ) ) ) ),file(yellow_0,cc1_yellow_0)).
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_orders_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( ( v1_xboole_0 @ B ) => ( v6_orders_2 @ B @ A ) ) ) ) ),file(orders_2,cc2_orders_2)).
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_waybel11,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( ( v1_xboole_0 @ B ) => ( ( v12_waybel_0 @ B @ A ) & ( v13_waybel_0 @ B @ A ) ) ) ) ) ),file(waybel11,cc2_waybel11)).
thf(cc2_waybel_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ B ) & ( v3_orders_2 @ B ) & ( v4_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( l1_orders_2 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v5_waybel_1 @ C @ B @ A ) ) => ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v18_waybel_0 @ C @ A @ B ) ) ) ) ) ),file(waybel_1,cc2_waybel_1)).
thf(cc2_yellow21,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow21 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v4_yellow18 @ A ) & ( v1_yellow21 @ A ) ) ) ) ),file(yellow21,cc2_yellow21)).
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_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(cc3_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_lattice3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_yellow_0 @ A ) ) ) ) ),file(yellow_0,cc3_yellow_0)).
thf(cc4_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 ) => ( ( v11_functor0 @ C @ A @ B ) => ( v6_functor0 @ C @ A @ B ) ) ) ) ),file(functor0,cc4_functor0)).
thf(cc4_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 ) => ( ( v16_functor0 @ C @ A @ B ) => ( ( v11_functor0 @ C @ A @ B ) & ( v14_functor0 @ C @ A @ B ) ) ) ) ) ),file(functor2,cc4_functor2)).
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(cc4_waybel11,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( ( v1_xboole_0 @ B ) => ( ( v2_waybel11 @ B @ A ) & ( v3_waybel11 @ B @ A ) ) ) ) ) ),file(waybel11,cc4_waybel11)).
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(cc6_finset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_finset_1 @ A ) ) ),file(finset_1,cc6_finset_1)).
thf(cc6_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 ) => ( ( v16_functor0 @ C @ A @ B ) => ( v6_functor0 @ C @ A @ B ) ) ) ) ),file(functor0,cc6_functor0)).
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_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_waybel_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ B ) & ( l1_orders_2 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v17_waybel_0 @ C @ A @ B ) ) => ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v19_waybel_0 @ C @ A @ B ) & ( v21_waybel_0 @ C @ A @ B ) ) ) ) ) ),file(waybel_0,cc7_waybel_0)).
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(cc8_waybel_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ B ) & ( l1_orders_2 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v18_waybel_0 @ C @ A @ B ) ) => ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v20_waybel_0 @ C @ A @ B ) & ( v22_waybel_0 @ C @ A @ B ) ) ) ) ) ),file(waybel_0,cc8_waybel_0)).
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_waybel_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ B ) & ( l1_orders_2 @ B ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v23_waybel_0 @ C @ A @ B ) ) => ( ( v1_funct_1 @ C ) & ( v2_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v5_orders_3 @ C @ A @ B ) ) ) ) ) ),file(waybel_0,cc9_waybel_0)).
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(fc12_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) ) => ( ( v1_xboole_0 @ ( k3_relat_1 @ A @ B ) ) & ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(relat_1,fc12_relat_1)).
thf(fc13_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) ) => ( ( v1_xboole_0 @ ( k3_relat_1 @ B @ A ) ) & ( v1_relat_1 @ ( k3_relat_1 @ B @ A ) ) ) ) ),file(relat_1,fc13_relat_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_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(fc29_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_relat_1 @ C ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ C @ B ) ) & ( v5_relat_1 @ ( k3_relat_1 @ C @ B ) @ A ) ) ) ),file(relat_1,fc29_relat_1)).
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(fc30_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_relat_1 @ C ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ B @ C ) ) & ( v4_relat_1 @ ( k3_relat_1 @ B @ C ) @ A ) ) ) ),file(relat_1,fc30_relat_1)).
thf(fc3_waybel10,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_funct_1 @ ( k3_struct_0 @ A ) ) & ( v1_funct_2 @ ( k3_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v17_waybel_0 @ ( k3_struct_0 @ A ) @ A @ A ) & ( v18_waybel_0 @ ( k3_struct_0 @ A ) @ A @ A ) ) ) ),file(waybel10,fc3_waybel10)).
thf(fc3_waybel_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_funct_1 @ ( k3_struct_0 @ A ) ) & ( v1_funct_2 @ ( k3_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v6_waybel_1 @ ( k3_struct_0 @ A ) @ A ) ) ) ),file(waybel_1,fc3_waybel_1)).
thf(fc4_waybel_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_funct_1 @ ( k3_struct_0 @ A ) ) & ( v1_funct_2 @ ( k3_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v7_waybel_1 @ ( k3_struct_0 @ A ) @ A ) ) ) ),file(waybel_1,fc4_waybel_1)).
thf(fc5_waybel_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_funct_1 @ ( k3_struct_0 @ A ) ) & ( v1_funct_2 @ ( k3_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v8_waybel_1 @ ( k3_struct_0 @ A ) @ A ) ) ) ),file(waybel_1,fc5_waybel_1)).
thf(fc7_functor0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( l1_altcat_1 @ A ) & ( l1_altcat_1 @ B ) & ( l2_functor0 @ C @ A @ B ) ) => ( v1_funcop_1 @ ( u2_functor0 @ A @ B @ C ) ) ) ),file(functor0,fc7_functor0)).
thf(fc8_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ E ) & ( v1_funct_2 @ E @ B @ C ) & ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ C ) ) ) ) => ( ( v1_funct_1 @ ( k3_relat_1 @ D @ E ) ) & ( v1_funct_2 @ ( k3_relat_1 @ D @ E ) @ A @ C ) ) ) ),file(funct_2,fc8_funct_2)).
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_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_waybel10,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ B ) & ( v3_orders_2 @ B ) & ( l1_orders_2 @ B ) ) => ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ A ) ) & ( v5_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v5_orders_3 @ C @ A @ B ) ) ) ),file(waybel10,rc1_waybel10)).
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(rc2_yellow_0,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ A ) & ( v2_orders_2 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) ) ),file(yellow_0,rc2_yellow_0)).
thf(rc3_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_altcat_1 @ A ) & ( l1_altcat_1 @ B ) ) => ? [C: $i] : ( ( l2_functor0 @ C @ A @ B ) & ( v9_functor0 @ C @ A @ B ) ) ) ),file(functor0,rc3_functor0)).
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(rc4_altcat_2,axiom,( ? [A: $i] : ( ( l2_altcat_1 @ A ) & ( v2_struct_0 @ A ) & ( v6_altcat_1 @ A ) ) ),file(altcat_2,rc4_altcat_2)).
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(rc5_functor0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_altcat_1 @ A ) & ( l1_altcat_1 @ B ) ) => ? [C: $i] : ( ( l2_functor0 @ C @ A @ B ) & ( v11_functor0 @ C @ A @ B ) ) ) ),file(functor0,rc5_functor0)).
thf(symmetry_r2_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) => ( ( r2_funct_2 @ A @ B @ C @ D ) => ( r2_funct_2 @ A @ B @ D @ C ) ) ) ),file(funct_2,r2_funct_2)).
thf(reflexivity_r2_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) => ( r2_funct_2 @ A @ B @ C @ C ) ) ),file(funct_2,r2_funct_2)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(abstractness_v9_functor0,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( l1_altcat_1 @ A ) & ( l1_altcat_1 @ B ) & ( l2_functor0 @ C @ A @ B ) ) => ( ( v9_functor0 @ C @ A @ B ) => ( = @ C @ ( g2_functor0 @ A @ B @ ( u1_functor0 @ A @ B @ C ) @ ( u2_functor0 @ A @ B @ C ) ) ) ) ) ),file(functor0,v9_functor0)).
thf(redefinition_k1_partfun1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ( v1_funct_1 @ E ) & ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ F ) & ( m1_subset_1 @ F @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ C @ D ) ) ) ) => ( = @ ( k1_partfun1 @ A @ B @ C @ D @ E @ F ) @ ( k3_relat_1 @ E @ F ) ) ) ),file(partfun1,k1_partfun1)).
thf(redefinition_k3_yellow21,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow21 @ A ) & ( l2_altcat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ) => ( = @ ( k3_yellow21 @ A @ B ) @ ( k1_yellow21 @ B ) ) ) ),file(yellow21,k3_yellow21)).
thf(redefinition_k4_yellow21,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v3_yellow21 @ A ) & ( l2_altcat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ) => ( = @ ( k4_yellow21 @ A @ B ) @ ( k1_yellow21 @ B ) ) ) ),file(yellow21,k4_yellow21)).
thf(redefinition_r2_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) => ( ( r2_funct_2 @ A @ B @ C @ D ) <=> ( = @ C @ D ) ) ) ),file(funct_2,r2_funct_2)).
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_partfun1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ( v1_funct_1 @ E ) & ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ F ) & ( m1_subset_1 @ F @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ C @ D ) ) ) ) => ( ( v1_funct_1 @ ( k1_partfun1 @ A @ B @ C @ D @ E @ F ) ) & ( m1_subset_1 @ ( k1_partfun1 @ A @ B @ C @ D @ E @ F ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ D ) ) ) ) ) ),file(partfun1,k1_partfun1)).
thf(dt_k1_waybel34,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) & ( v3_orders_2 @ B ) & ( v4_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( v1_lattice3 @ B ) & ( v2_lattice3 @ B ) & ( l1_orders_2 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) => ( ( v1_funct_1 @ ( k1_waybel34 @ A @ B @ C ) ) & ( v1_funct_2 @ ( k1_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ ( k1_waybel34 @ A @ B @ C ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) ) ) ),file(waybel34,k1_waybel34)).
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_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_k3_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) ),file(relat_1,k3_relat_1)).
thf(dt_k3_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v1_funct_1 @ ( k3_struct_0 @ A ) ) & ( v1_funct_2 @ ( k3_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ ( k3_struct_0 @ A ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ) ) ),file(struct_0,k3_struct_0)).
thf(dt_k3_yellow21,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow21 @ A ) & ( l2_altcat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ) => ( ( v3_orders_2 @ ( k3_yellow21 @ A @ B ) ) & ( v4_orders_2 @ ( k3_yellow21 @ A @ B ) ) & ( v5_orders_2 @ ( k3_yellow21 @ A @ B ) ) & ( v1_lattice3 @ ( k3_yellow21 @ A @ B ) ) & ( v2_lattice3 @ ( k3_yellow21 @ A @ B ) ) & ( l1_orders_2 @ ( k3_yellow21 @ A @ B ) ) ) ) ),file(yellow21,k3_yellow21)).
thf(dt_k4_waybel34,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ( ~ ( v2_struct_0 @ ( k4_waybel34 @ A ) ) & ( v2_altcat_1 @ ( k4_waybel34 @ A ) ) & ( v6_altcat_1 @ ( k4_waybel34 @ A ) ) & ( v11_altcat_1 @ ( k4_waybel34 @ A ) ) & ( v12_altcat_1 @ ( k4_waybel34 @ A ) ) & ( v2_yellow21 @ ( k4_waybel34 @ A ) ) & ( l2_altcat_1 @ ( k4_waybel34 @ A ) ) ) ) ),file(waybel34,k4_waybel34)).
thf(dt_k4_yellow21,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v3_yellow21 @ A ) & ( l2_altcat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ) => ( ( v3_orders_2 @ ( k4_yellow21 @ A @ B ) ) & ( v4_orders_2 @ ( k4_yellow21 @ A @ B ) ) & ( v5_orders_2 @ ( k4_yellow21 @ A @ B ) ) & ( v1_lattice3 @ ( k4_yellow21 @ A @ B ) ) & ( v2_lattice3 @ ( k4_yellow21 @ A @ B ) ) & ( v3_lattice3 @ ( k4_yellow21 @ A @ B ) ) & ( l1_orders_2 @ ( k4_yellow21 @ A @ B ) ) ) ) ),file(yellow21,k4_yellow21)).
thf(dt_k5_waybel34,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ( ~ ( v2_struct_0 @ ( k5_waybel34 @ A ) ) & ( v2_altcat_1 @ ( k5_waybel34 @ A ) ) & ( v6_altcat_1 @ ( k5_waybel34 @ A ) ) & ( v11_altcat_1 @ ( k5_waybel34 @ A ) ) & ( v12_altcat_1 @ ( k5_waybel34 @ A ) ) & ( v2_yellow21 @ ( k5_waybel34 @ A ) ) & ( l2_altcat_1 @ ( k5_waybel34 @ A ) ) ) ) ),file(waybel34,k5_waybel34)).
thf(dt_k5_yellow21,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow21 @ 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 @ ( k1_altcat_1 @ A @ B @ C ) ) ) => ( ( v1_funct_1 @ ( k5_yellow21 @ A @ B @ C @ D ) ) & ( v1_funct_2 @ ( k5_yellow21 @ A @ B @ C @ D ) @ ( u1_struct_0 @ ( k3_yellow21 @ A @ B ) ) @ ( u1_struct_0 @ ( k3_yellow21 @ A @ C ) ) ) & ( v5_orders_3 @ ( k5_yellow21 @ A @ B @ C @ D ) @ ( k3_yellow21 @ A @ B ) @ ( k3_yellow21 @ A @ C ) ) & ( m1_subset_1 @ ( k5_yellow21 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k3_yellow21 @ A @ B ) ) @ ( u1_struct_0 @ ( k3_yellow21 @ A @ C ) ) ) ) ) ) ) ),file(yellow21,k5_yellow21)).
thf(dt_k8_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 ) & ( v11_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 @ ( k8_functor0 @ A @ B @ C @ D @ E @ F ) @ ( k1_altcat_1 @ B @ ( k3_functor0 @ A @ B @ C @ E ) @ ( k3_functor0 @ A @ B @ C @ D ) ) ) ) ),file(functor0,k8_functor0)).
thf(dt_l1_orders_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( l1_struct_0 @ A ) ) ),file(orders_2,l1_orders_2)).
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_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_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(dt_c1_33__waybel34,axiom,( ~ ( v2_setfam_1 @ c1_33__waybel34 ) ),file(waybel34,c1_33__waybel34)).
thf(cc1_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v1_lattice3 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(lattice3,cc1_lattice3)).
thf(cc1_orders_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v3_orders_2 @ A ) => ( v2_orders_2 @ A ) ) ) ),file(orders_2,cc1_orders_2)).
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(cc2_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v2_lattice3 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(lattice3,cc2_lattice3)).
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_setfam_1,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(setfam_1,cc2_setfam_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(fc1_subset_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) ),file(subset_1,fc1_subset_1)).
thf(fc1_waybel34,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v3_lattice3 @ A ) & ( l1_orders_2 @ A ) & ( v3_orders_2 @ B ) & ( v4_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( v1_lattice3 @ B ) & ( v2_lattice3 @ B ) & ( v3_lattice3 @ B ) & ( l1_orders_2 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( v17_waybel_0 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) => ( ( v1_funct_1 @ ( k1_waybel34 @ A @ B @ C ) ) & ( v1_funct_2 @ ( k1_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) & ( v5_waybel_1 @ ( k1_waybel34 @ A @ B @ C ) @ A @ B ) ) ) ),file(waybel34,fc1_waybel34)).
thf(fc1_xboole_0,axiom,( v1_xboole_0 @ k1_xboole_0 ),file(xboole_0,fc1_xboole_0)).
thf(fc2_waybel_1,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v1_funct_1 @ ( k3_struct_0 @ A ) ) & ( v1_funct_2 @ ( k3_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v23_waybel_0 @ ( k3_struct_0 @ A ) @ A @ A ) ) ) ),file(waybel_1,fc2_waybel_1)).
thf(fc4_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ A ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) ) ) ) => ( ( v1_funct_1 @ ( k3_relat_1 @ D @ C ) ) & ( v1_funct_2 @ ( k3_relat_1 @ D @ C ) @ A @ B ) ) ) ),file(funct_2,fc4_funct_2)).
thf(fc5_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ B @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ B ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ A @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) => ( ( v1_funct_1 @ ( k3_relat_1 @ D @ C ) ) & ( v1_funct_2 @ ( k3_relat_1 @ D @ C ) @ A @ B ) ) ) ),file(funct_2,fc5_funct_2)).
thf(fc5_waybel34,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ( ~ ( v2_struct_0 @ ( k4_waybel34 @ A ) ) & ( v2_altcat_1 @ ( k4_waybel34 @ A ) ) & ( v6_altcat_1 @ ( k4_waybel34 @ A ) ) & ( v11_altcat_1 @ ( k4_waybel34 @ A ) ) & ( v12_altcat_1 @ ( k4_waybel34 @ A ) ) & ( v2_yellow21 @ ( k4_waybel34 @ A ) ) & ( v3_yellow21 @ ( k4_waybel34 @ A ) ) ) ) ),file(waybel34,fc5_waybel34)).
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_waybel34,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ( ~ ( v2_struct_0 @ ( k5_waybel34 @ A ) ) & ( v2_altcat_1 @ ( k5_waybel34 @ A ) ) & ( v6_altcat_1 @ ( k5_waybel34 @ A ) ) & ( v11_altcat_1 @ ( k5_waybel34 @ A ) ) & ( v12_altcat_1 @ ( k5_waybel34 @ A ) ) & ( v2_yellow21 @ ( k5_waybel34 @ A ) ) & ( v3_yellow21 @ ( k5_waybel34 @ A ) ) ) ) ),file(waybel34,fc6_waybel34)).
thf(rc2_setfam_1,axiom,( ? [A: $i] : ~ ( v2_setfam_1 @ A ) ),file(setfam_1,rc2_setfam_1)).
thf(e1_33__waybel34,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( ( v3_orders_2 @ B ) & ( v4_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( v1_lattice3 @ B ) & ( v2_lattice3 @ B ) & ( l1_orders_2 @ B ) ) => ! [C: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) => ( ( r2_hidden @ C @ ( k1_binop_1 @ ( u1_altcat_1 @ ( k4_waybel34 @ c1_33__waybel34 ) ) @ A @ B ) ) <=> ( ( r2_hidden @ A @ ( u1_struct_0 @ ( k4_waybel34 @ c1_33__waybel34 ) ) ) & ( r2_hidden @ B @ ( u1_struct_0 @ ( k4_waybel34 @ c1_33__waybel34 ) ) ) & ( v3_lattice3 @ A ) & ( v3_lattice3 @ B ) & ( v17_waybel_0 @ C @ A @ B ) ) ) ) ) ) ),file(waybel34,e1_33__waybel34)).
thf(e2_33__waybel34,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( ( v3_orders_2 @ B ) & ( v4_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( v1_lattice3 @ B ) & ( v2_lattice3 @ B ) & ( l1_orders_2 @ B ) ) => ! [C: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) => ( ( r2_hidden @ C @ ( k1_binop_1 @ ( u1_altcat_1 @ ( k5_waybel34 @ c1_33__waybel34 ) ) @ A @ B ) ) <=> ( ( r2_hidden @ A @ ( u1_struct_0 @ ( k5_waybel34 @ c1_33__waybel34 ) ) ) & ( r2_hidden @ B @ ( u1_struct_0 @ ( k5_waybel34 @ c1_33__waybel34 ) ) ) & ( v3_lattice3 @ A ) & ( v3_lattice3 @ B ) & ( v18_waybel_0 @ C @ A @ B ) ) ) ) ) ) ),file(waybel34,e2_33__waybel34)).
thf(e3_33__waybel34,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ( ( r2_hidden @ A @ ( u1_struct_0 @ ( k4_waybel34 @ c1_33__waybel34 ) ) ) => ( r2_hidden @ A @ ( u1_struct_0 @ ( k5_waybel34 @ c1_33__waybel34 ) ) ) ) ) ),file(waybel34,e3_33__waybel34)).
thf(e4_33__waybel34,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( ( v3_orders_2 @ B ) & ( v4_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( v1_lattice3 @ B ) & ( v2_lattice3 @ B ) & ( l1_orders_2 @ B ) ) => ! [C: $i] : ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) => ( ( ( v3_lattice3 @ A ) & ( v3_lattice3 @ B ) & ( v17_waybel_0 @ C @ A @ B ) ) => ( ( v1_funct_1 @ ( k1_waybel34 @ A @ B @ C ) ) & ( v1_funct_2 @ ( k1_waybel34 @ A @ B @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ ( k1_waybel34 @ A @ B @ C ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) ) ) ) & ( v3_lattice3 @ B ) & ( v3_lattice3 @ A ) & ( v18_waybel_0 @ ( k1_waybel34 @ A @ B @ C ) @ B @ A ) ) ) ) ) ) ),file(waybel34,e4_33__waybel34)).
thf(e5_33__waybel34,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ( ( r2_hidden @ A @ ( u1_struct_0 @ ( k4_waybel34 @ c1_33__waybel34 ) ) ) => ( r2_funct_2 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( k1_waybel34 @ A @ A @ ( k3_struct_0 @ A ) ) @ ( k3_struct_0 @ A ) ) ) ) ),file(waybel34,e5_33__waybel34)).
thf(e6_33__waybel34,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( ( v3_orders_2 @ B ) & ( v4_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( v1_lattice3 @ B ) & ( v2_lattice3 @ B ) & ( l1_orders_2 @ B ) ) => ! [C: $i] : ( ( ( v3_orders_2 @ C ) & ( v4_orders_2 @ C ) & ( v5_orders_2 @ C ) & ( v1_lattice3 @ C ) & ( v2_lattice3 @ C ) & ( l1_orders_2 @ C ) ) => ! [D: $i] : ( ( ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) ) ) ) ) => ! [E: $i] : ( ( ( v1_funct_1 @ E ) & ( v1_funct_2 @ E @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) & ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) ) ) ) ) => ( ( ( v3_lattice3 @ A ) & ( v3_lattice3 @ B ) & ( v17_waybel_0 @ D @ A @ B ) & ( v3_lattice3 @ B ) & ( v3_lattice3 @ C ) & ( v17_waybel_0 @ E @ B @ C ) ) => ( r2_funct_2 @ ( u1_struct_0 @ C ) @ ( u1_struct_0 @ A ) @ ( k1_waybel34 @ A @ C @ ( k1_partfun1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ C ) @ D @ E ) ) @ ( k1_partfun1 @ ( u1_struct_0 @ C ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ B ) @ ( u1_struct_0 @ A ) @ ( k1_waybel34 @ B @ C @ E ) @ ( k1_waybel34 @ A @ B @ D ) ) ) ) ) ) ) ) ) ),file(waybel34,e6_33__waybel34)).
thf(s7_yellow21,axiom,( ! [A: $i > $i > $i > $i] : ! [B: $i > $i] : ! [C: $i > $i > $i > $o] : ! [D: $i] : ! [E: $i > $i > $i > $o] : ! [F: $i] : ( ( ! [G: $i] : ( ( ( v3_orders_2 @ G ) & ( v4_orders_2 @ G ) & ( v5_orders_2 @ G ) & ( v1_lattice3 @ G ) & ( v2_lattice3 @ G ) & ( l1_orders_2 @ G ) ) => ! [H: $i] : ( ( ( v3_orders_2 @ H ) & ( v4_orders_2 @ H ) & ( v5_orders_2 @ H ) & ( v1_lattice3 @ H ) & ( v2_lattice3 @ H ) & ( l1_orders_2 @ H ) ) => ! [I: $i] : ( ( ( v1_funct_1 @ I ) & ( v1_funct_2 @ I @ ( u1_struct_0 @ G ) @ ( u1_struct_0 @ H ) ) & ( m1_subset_1 @ I @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ G ) @ ( u1_struct_0 @ H ) ) ) ) ) => ( ( r2_hidden @ I @ ( k1_binop_1 @ ( u1_altcat_1 @ F ) @ G @ H ) ) <=> ( ( r2_hidden @ G @ ( u1_struct_0 @ F ) ) & ( r2_hidden @ H @ ( u1_struct_0 @ F ) ) & ( E @ G @ H @ I ) ) ) ) ) ) & ! [G: $i] : ( ( ( v3_orders_2 @ G ) & ( v4_orders_2 @ G ) & ( v5_orders_2 @ G ) & ( v1_lattice3 @ G ) & ( v2_lattice3 @ G ) & ( l1_orders_2 @ G ) ) => ! [H: $i] : ( ( ( v3_orders_2 @ H ) & ( v4_orders_2 @ H ) & ( v5_orders_2 @ H ) & ( v1_lattice3 @ H ) & ( v2_lattice3 @ H ) & ( l1_orders_2 @ H ) ) => ! [I: $i] : ( ( ( v1_funct_1 @ I ) & ( v1_funct_2 @ I @ ( u1_struct_0 @ G ) @ ( u1_struct_0 @ H ) ) & ( m1_subset_1 @ I @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ G ) @ ( u1_struct_0 @ H ) ) ) ) ) => ( ( r2_hidden @ I @ ( k1_binop_1 @ ( u1_altcat_1 @ D ) @ G @ H ) ) <=> ( ( r2_hidden @ G @ ( u1_struct_0 @ D ) ) & ( r2_hidden @ H @ ( u1_struct_0 @ D ) ) & ( C @ G @ H @ I ) ) ) ) ) ) & ! [G: $i] : ( ( ( v3_orders_2 @ G ) & ( v4_orders_2 @ G ) & ( v5_orders_2 @ G ) & ( v1_lattice3 @ G ) & ( v2_lattice3 @ G ) & ( l1_orders_2 @ G ) ) => ( ( r2_hidden @ G @ ( u1_struct_0 @ F ) ) => ( r2_hidden @ ( B @ G ) @ ( u1_struct_0 @ D ) ) ) ) & ! [G: $i] : ( ( ( v3_orders_2 @ G ) & ( v4_orders_2 @ G ) & ( v5_orders_2 @ G ) & ( v1_lattice3 @ G ) & ( v2_lattice3 @ G ) & ( l1_orders_2 @ G ) ) => ! [H: $i] : ( ( ( v3_orders_2 @ H ) & ( v4_orders_2 @ H ) & ( v5_orders_2 @ H ) & ( v1_lattice3 @ H ) & ( v2_lattice3 @ H ) & ( l1_orders_2 @ H ) ) => ! [I: $i] : ( ( ( v1_funct_1 @ I ) & ( v1_funct_2 @ I @ ( u1_struct_0 @ G ) @ ( u1_struct_0 @ H ) ) & ( m1_subset_1 @ I @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ G ) @ ( u1_struct_0 @ H ) ) ) ) ) => ( ( E @ G @ H @ I ) => ( ( v1_funct_1 @ ( A @ G @ H @ I ) ) & ( v1_funct_2 @ ( A @ G @ H @ I ) @ ( u1_struct_0 @ ( B @ H ) ) @ ( u1_struct_0 @ ( B @ G ) ) ) & ( m1_subset_1 @ ( A @ G @ H @ I ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( B @ H ) ) @ ( u1_struct_0 @ ( B @ G ) ) ) ) ) & ( C @ ( B @ H ) @ ( B @ G ) @ ( A @ G @ H @ I ) ) ) ) ) ) ) & ! [G: $i] : ( ( ( v3_orders_2 @ G ) & ( v4_orders_2 @ G ) & ( v5_orders_2 @ G ) & ( v1_lattice3 @ G ) & ( v2_lattice3 @ G ) & ( l1_orders_2 @ G ) ) => ( ( r2_hidden @ G @ ( u1_struct_0 @ F ) ) => ( = @ ( A @ G @ G @ ( k3_struct_0 @ G ) ) @ ( k3_struct_0 @ ( B @ G ) ) ) ) ) & ! [G: $i] : ( ( ( v3_orders_2 @ G ) & ( v4_orders_2 @ G ) & ( v5_orders_2 @ G ) & ( v1_lattice3 @ G ) & ( v2_lattice3 @ G ) & ( l1_orders_2 @ G ) ) => ! [H: $i] : ( ( ( v3_orders_2 @ H ) & ( v4_orders_2 @ H ) & ( v5_orders_2 @ H ) & ( v1_lattice3 @ H ) & ( v2_lattice3 @ H ) & ( l1_orders_2 @ H ) ) => ! [I: $i] : ( ( ( v3_orders_2 @ I ) & ( v4_orders_2 @ I ) & ( v5_orders_2 @ I ) & ( v1_lattice3 @ I ) & ( v2_lattice3 @ I ) & ( l1_orders_2 @ I ) ) => ! [J: $i] : ( ( ( v1_funct_1 @ J ) & ( v1_funct_2 @ J @ ( u1_struct_0 @ G ) @ ( u1_struct_0 @ H ) ) & ( m1_subset_1 @ J @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ G ) @ ( u1_struct_0 @ H ) ) ) ) ) => ! [K: $i] : ( ( ( v1_funct_1 @ K ) & ( v1_funct_2 @ K @ ( u1_struct_0 @ H ) @ ( u1_struct_0 @ I ) ) & ( m1_subset_1 @ K @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ H ) @ ( u1_struct_0 @ I ) ) ) ) ) => ( ( ( E @ G @ H @ J ) & ( E @ H @ I @ K ) ) => ( = @ ( A @ G @ I @ ( k1_partfun1 @ ( u1_struct_0 @ G ) @ ( u1_struct_0 @ H ) @ ( u1_struct_0 @ H ) @ ( u1_struct_0 @ I ) @ J @ K ) ) @ ( k3_relat_1 @ ( A @ H @ I @ K ) @ ( A @ G @ H @ J ) ) ) ) ) ) ) ) ) ) => ? [G: $i] : ( ( v9_functor0 @ G @ F @ D ) & ( v16_functor0 @ G @ F @ D ) & ( m2_functor0 @ G @ F @ D ) & ! [H: $i] : ( ( m1_subset_1 @ H @ ( u1_struct_0 @ F ) ) => ( = @ ( k3_functor0 @ F @ D @ G @ H ) @ ( B @ ( k3_yellow21 @ F @ H ) ) ) ) & ! [H: $i] : ( ( m1_subset_1 @ H @ ( u1_struct_0 @ F ) ) => ! [I: $i] : ( ( m1_subset_1 @ I @ ( u1_struct_0 @ F ) ) => ( ~ ( = @ ( k1_altcat_1 @ F @ H @ I ) @ k1_xboole_0 ) => ! [J: $i] : ( ( m1_subset_1 @ J @ ( k1_altcat_1 @ F @ H @ I ) ) => ( = @ ( k8_functor0 @ F @ D @ G @ H @ I @ J ) @ ( A @ ( k3_yellow21 @ F @ H ) @ ( k3_yellow21 @ F @ I ) @ ( k5_yellow21 @ F @ H @ I @ J ) ) ) ) ) ) ) ) ) ),file(yellow21,s7_yellow21)).
thf(e1_33_2_1__waybel34,conjecture,( ? [A: $i] : ( ( v9_functor0 @ A @ ( k4_waybel34 @ c1_33__waybel34 ) @ ( k5_waybel34 @ c1_33__waybel34 ) ) & ( v16_functor0 @ A @ ( k4_waybel34 @ c1_33__waybel34 ) @ ( k5_waybel34 @ c1_33__waybel34 ) ) & ( m2_functor0 @ A @ ( k4_waybel34 @ c1_33__waybel34 ) @ ( k5_waybel34 @ c1_33__waybel34 ) ) & ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k4_waybel34 @ c1_33__waybel34 ) ) ) => ( = @ ( k3_functor0 @ ( k4_waybel34 @ c1_33__waybel34 ) @ ( k5_waybel34 @ c1_33__waybel34 ) @ A @ B ) @ ( k4_yellow21 @ ( k4_waybel34 @ c1_33__waybel34 ) @ B ) ) ) & ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k4_waybel34 @ c1_33__waybel34 ) ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k4_waybel34 @ c1_33__waybel34 ) ) ) => ( ~ ( = @ ( k1_altcat_1 @ ( k4_waybel34 @ c1_33__waybel34 ) @ B @ C ) @ k1_xboole_0 ) => ! [D: $i] : ( ( m1_subset_1 @ D @ ( k1_altcat_1 @ ( k4_waybel34 @ c1_33__waybel34 ) @ B @ C ) ) => ( = @ ( k8_functor0 @ ( k4_waybel34 @ c1_33__waybel34 ) @ ( k5_waybel34 @ c1_33__waybel34 ) @ A @ B @ C @ D ) @ ( k1_waybel34 @ ( k4_yellow21 @ ( k4_waybel34 @ c1_33__waybel34 ) @ B ) @ ( k4_yellow21 @ ( k4_waybel34 @ c1_33__waybel34 ) @ C ) @ ( k5_yellow21 @ ( k4_waybel34 @ c1_33__waybel34 ) @ B @ C @ D ) ) ) ) ) ) ) ) ),file(waybel34,e1_33_2_1__waybel34)).
