% Mizar problem: s2_yellow16,yellow16,1382,21 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(f1_s2_yellow16_type,type,( f1_s2_yellow16: $i )).
thf(f2_s2_yellow16_type,type,( f2_s2_yellow16: $i )).
thf(f3_s2_yellow16_type,type,( f3_s2_yellow16: $i )).
thf(g1_orders_2_type,type,( g1_orders_2: $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_yellow16_type,type,( k1_yellow16: $i > $i > $i > $i > $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_funcop_1_type,type,( k2_funcop_1: $i > $i > $i )).
thf(k2_yellow16_type,type,( k2_yellow16: $i > $i > $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_waybel_3_type,type,( k3_waybel_3: $i > $i > $i > $i )).
thf(k5_card_3_type,type,( k5_card_3: $i > $i > $i )).
thf(k5_waybel_3_type,type,( k5_waybel_3: $i > $i > $i > $i > $i )).
thf(k5_yellow_1_type,type,( k5_yellow_1: $i > $i > $i )).
thf(k6_yellow_1_type,type,( k6_yellow_1: $i > $i > $i )).
thf(k7_funcop_1_type,type,( k7_funcop_1: $i > $i > $i )).
thf(u1_orders_2_type,type,( u1_orders_2: $i > $i )).
thf(u1_struct_0_type,type,( u1_struct_0: $i > $i )).
thf(l1_orders_2_type,type,( l1_orders_2: $i > $o )).
thf(l1_struct_0_type,type,( l1_struct_0: $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(m1_yellow_0_type,type,( m1_yellow_0: $i > $i > $o )).
thf(p1_s2_yellow16_type,type,( p1_s2_yellow16: $i > $i > $o )).
thf(r1_tarski_type,type,( r1_tarski: $i > $i > $o )).
thf(r5_yellow16_type,type,( r5_yellow16: $i > $i > $i > $o )).
thf(v13_struct_0_type,type,( v13_struct_0: $i > $i > $o )).
thf(v16_waybel_0_type,type,( v16_waybel_0: $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_monoid_0_type,type,( v1_monoid_0: $i > $o )).
thf(v1_orders_2_type,type,( v1_orders_2: $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_waybel_0_type,type,( v1_waybel_0: $i > $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_yellow16_type,type,( v1_yellow16: $i > $o )).
thf(v1_yellow_0_type,type,( v1_yellow_0: $i > $o )).
thf(v1_yellow_1_type,type,( v1_yellow_1: $i > $o )).
thf(v1_zfmisc_1_type,type,( v1_zfmisc_1: $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_funcop_1_type,type,( v2_funcop_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_pralg_1_type,type,( v2_pralg_1: $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(v2_waybel_0_type,type,( v2_waybel_0: $i > $i > $o )).
thf(v2_waybel_3_type,type,( v2_waybel_3: $i > $o )).
thf(v2_yellow_0_type,type,( v2_yellow_0: $i > $o )).
thf(v3_funct_1_type,type,( v3_funct_1: $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_waybel_3_type,type,( v3_waybel_3: $i > $o )).
thf(v3_yellow_0_type,type,( v3_yellow_0: $i > $o )).
thf(v4_funct_1_type,type,( v4_funct_1: $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_waybel_3_type,type,( v4_waybel_3: $i > $o )).
thf(v4_yellow_0_type,type,( v4_yellow_0: $i > $i > $o )).
thf(v5_orders_2_type,type,( v5_orders_2: $i > $o )).
thf(v5_relat_1_type,type,( v5_relat_1: $i > $i > $o )).
thf(v5_waybel_3_type,type,( v5_waybel_3: $i > $o )).
thf(v7_struct_0_type,type,( v7_struct_0: $i > $o )).
thf(v8_struct_0_type,type,( v8_struct_0: $i > $o )).
thf(abstractness_v1_orders_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v1_orders_2 @ A ) => ( = @ A @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ) ),file(orders_2,v1_orders_2)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
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(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(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(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(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(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(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(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_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_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v1_lattice3 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(lattice3,cc1_lattice3)).
thf(cc1_monoid_0,axiom,( ! [A: $i] : ( ( ( v1_monoid_0 @ A ) & ( l1_struct_0 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) ) ) ),file(monoid_0,cc1_monoid_0)).
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_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_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_yellow16,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_yellow16 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_yellow_1 @ A ) & ( v5_waybel_3 @ A ) ) ) ),file(yellow16,cc1_yellow16)).
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(cc1_yellow_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_yellow_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_pralg_1 @ A ) ) ) ),file(yellow_1,cc1_yellow_1)).
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_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_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v2_lattice3 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(lattice3,cc2_lattice3)).
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_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_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_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_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_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_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_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_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(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_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_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_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(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_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_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(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(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(cc6_yellow_0,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_yellow_0 @ B @ A ) => ( ( v4_yellow_0 @ B @ A ) => ( ( v3_orders_2 @ B ) & ( v4_yellow_0 @ B @ A ) ) ) ) ) ),file(yellow_0,cc6_yellow_0)).
thf(cc7_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v4_funct_1 @ A ) ) ),file(funct_1,cc7_funct_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_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ~ ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc7_struct_0)).
thf(cc7_yellow_0,axiom,( ! [A: $i] : ( ( ( v4_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_yellow_0 @ B @ A ) => ( ( v4_yellow_0 @ B @ A ) => ( ( v4_orders_2 @ B ) & ( v4_yellow_0 @ B @ A ) ) ) ) ) ),file(yellow_0,cc7_yellow_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(cc8_yellow_0,axiom,( ! [A: $i] : ( ( ( v5_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_yellow_0 @ B @ A ) => ( ( v4_yellow_0 @ B @ A ) => ( ( v5_orders_2 @ B ) & ( v4_yellow_0 @ B @ A ) ) ) ) ) ),file(yellow_0,cc8_yellow_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_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(d2_xboole_0,axiom,( = @ k1_xboole_0 @ ( eps @ ^ [A: $i] : ( v1_xboole_0 @ A ) ) ),file(xboole_0,d2_xboole_0)).
thf(d5_yellow_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_orders_2 @ B ) => ( = @ ( k6_yellow_1 @ A @ B ) @ ( k5_yellow_1 @ A @ ( k7_funcop_1 @ A @ B ) ) ) ) ),file(yellow_1,d5_yellow_1)).
thf(dt_f1_s2_yellow16,axiom,( ~ ( v1_xboole_0 @ f1_s2_yellow16 ) ),file(yellow16,f1_s2_yellow16)).
thf(dt_f2_s2_yellow16,axiom,( ~ ( v2_struct_0 @ f2_s2_yellow16 ) & ( v3_orders_2 @ f2_s2_yellow16 ) & ( v4_orders_2 @ f2_s2_yellow16 ) & ( v5_orders_2 @ f2_s2_yellow16 ) & ( l1_orders_2 @ f2_s2_yellow16 ) ),file(yellow16,f2_s2_yellow16)).
thf(dt_f3_s2_yellow16,axiom,( ~ ( v2_struct_0 @ f3_s2_yellow16 ) & ( v4_yellow_0 @ f3_s2_yellow16 @ f2_s2_yellow16 ) & ( m1_yellow_0 @ f3_s2_yellow16 @ f2_s2_yellow16 ) ),file(yellow16,f3_s2_yellow16)).
thf(dt_g1_orders_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) ) ) => ( ( v1_orders_2 @ ( g1_orders_2 @ A @ B ) ) & ( l1_orders_2 @ ( g1_orders_2 @ A @ B ) ) ) ) ),file(orders_2,g1_orders_2)).
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_yellow16,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v2_struct_0 @ B ) & ( l1_orders_2 @ B ) & ( m1_subset_1 @ C @ A ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k6_yellow_1 @ A @ B ) ) ) ) ) => ( m1_subset_1 @ ( k1_yellow16 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ B ) ) ) ) ),file(yellow16,k1_yellow16)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_funcop_1,axiom,( $true ),file(funcop_1,k2_funcop_1)).
thf(dt_k2_yellow16,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v4_waybel_3 @ B ) & ( v1_yellow16 @ B ) & ( m1_subset_1 @ C @ A ) ) => ( ~ ( v2_struct_0 @ ( k2_yellow16 @ A @ B @ C ) ) & ( v3_orders_2 @ ( k2_yellow16 @ A @ B @ C ) ) & ( v4_orders_2 @ ( k2_yellow16 @ A @ B @ C ) ) & ( v5_orders_2 @ ( k2_yellow16 @ A @ B @ C ) ) & ( l1_orders_2 @ ( k2_yellow16 @ A @ B @ C ) ) ) ) ),file(yellow16,k2_yellow16)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k3_waybel_3,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) & ( m1_subset_1 @ C @ A ) ) => ( l1_orders_2 @ ( k3_waybel_3 @ A @ B @ C ) ) ) ),file(waybel_3,k3_waybel_3)).
thf(dt_k5_card_3,axiom,( $true ),file(card_3,k5_card_3)).
thf(dt_k5_waybel_3,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) & ( v4_waybel_3 @ B ) & ( m1_subset_1 @ C @ A ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k5_yellow_1 @ A @ B ) ) ) ) ) => ( m1_subset_1 @ ( k5_waybel_3 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k3_waybel_3 @ A @ B @ C ) ) ) ) ) ),file(waybel_3,k5_waybel_3)).
thf(dt_k5_yellow_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) ) => ( ( v1_orders_2 @ ( k5_yellow_1 @ A @ B ) ) & ( l1_orders_2 @ ( k5_yellow_1 @ A @ B ) ) ) ) ),file(yellow_1,k5_yellow_1)).
thf(dt_k6_yellow_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_orders_2 @ B ) => ( ( v1_orders_2 @ ( k6_yellow_1 @ A @ B ) ) & ( l1_orders_2 @ ( k6_yellow_1 @ A @ B ) ) ) ) ),file(yellow_1,k6_yellow_1)).
thf(dt_k7_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_funct_1 @ ( k7_funcop_1 @ A @ B ) ) & ( v1_funct_2 @ ( k7_funcop_1 @ A @ B ) @ A @ ( k1_tarski @ B ) ) & ( m1_subset_1 @ ( k7_funcop_1 @ A @ B ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ ( k1_tarski @ B ) ) ) ) ) ),file(funcop_1,k7_funcop_1)).
thf(dt_l1_orders_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( l1_struct_0 @ A ) ) ),file(orders_2,l1_orders_2)).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_0)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_m1_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ! [B: $i] : ( ( m1_yellow_0 @ B @ A ) => ( l1_orders_2 @ B ) ) ) ),file(yellow_0,m1_yellow_0)).
thf(dt_u1_orders_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( m1_subset_1 @ ( u1_orders_2 @ A ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ) ),file(orders_2,u1_orders_2)).
thf(dt_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(existence_l1_orders_2,axiom,( ? [A: $i] : ( l1_orders_2 @ A ) ),file(orders_2,l1_orders_2)).
thf(existence_l1_struct_0,axiom,( ? [A: $i] : ( l1_struct_0 @ A ) ),file(struct_0,l1_struct_0)).
thf(existence_m1_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( m1_subset_1 @ B @ A ) ),file(subset_1,m1_subset_1)).
thf(existence_m1_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ? [B: $i] : ( m1_yellow_0 @ B @ A ) ) ),file(yellow_0,m1_yellow_0)).
thf(fc10_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ( v2_relat_1 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(funcop_1,fc10_funcop_1)).
thf(fc10_waybel18,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v2_struct_0 @ B ) & ( v5_orders_2 @ B ) & ( l1_orders_2 @ B ) ) => ( ( v1_orders_2 @ ( k5_yellow_1 @ A @ ( k7_funcop_1 @ A @ B ) ) ) & ( v5_orders_2 @ ( k5_yellow_1 @ A @ ( k7_funcop_1 @ A @ B ) ) ) ) ) ),file(waybel18,fc10_waybel18)).
thf(fc10_waybel_3,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) & ( v5_waybel_3 @ B ) & ( m1_subset_1 @ C @ A ) ) => ( v3_orders_2 @ ( k1_funct_1 @ B @ C ) ) ) ),file(waybel_3,fc10_waybel_3)).
thf(fc10_yellow_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_orders_2 @ B ) => ( v1_yellow_1 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(yellow_1,fc10_yellow_1)).
thf(fc11_waybel18,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v2_struct_0 @ B ) & ( v4_orders_2 @ B ) & ( l1_orders_2 @ B ) ) => ( ( v1_orders_2 @ ( k5_yellow_1 @ A @ ( k7_funcop_1 @ A @ B ) ) ) & ( v4_orders_2 @ ( k5_yellow_1 @ A @ ( k7_funcop_1 @ A @ B ) ) ) ) ) ),file(waybel18,fc11_waybel18)).
thf(fc11_waybel_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) & ( v4_waybel_3 @ B ) & ( v5_waybel_3 @ B ) ) => ( ( v1_orders_2 @ ( k5_yellow_1 @ A @ B ) ) & ( v3_orders_2 @ ( k5_yellow_1 @ A @ B ) ) ) ) ),file(waybel_3,fc11_waybel_3)).
thf(fc11_yellow_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( l1_orders_2 @ B ) ) => ( ~ ( v2_struct_0 @ ( k6_yellow_1 @ A @ B ) ) & ( v1_orders_2 @ ( k6_yellow_1 @ A @ B ) ) ) ) ),file(yellow_1,fc11_yellow_1)).
thf(fc12_waybel18,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ 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_orders_2 @ ( k5_yellow_1 @ A @ ( k7_funcop_1 @ A @ B ) ) ) & ( v1_lattice3 @ ( k5_yellow_1 @ A @ ( k7_funcop_1 @ A @ B ) ) ) & ( v3_lattice3 @ ( k5_yellow_1 @ A @ ( k7_funcop_1 @ A @ B ) ) ) ) ) ),file(waybel18,fc12_waybel18)).
thf(fc12_yellow_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( v3_orders_2 @ B ) & ( l1_orders_2 @ B ) ) => ( ( v1_orders_2 @ ( k6_yellow_1 @ A @ B ) ) & ( v3_orders_2 @ ( k6_yellow_1 @ A @ B ) ) ) ) ),file(yellow_1,fc12_yellow_1)).
thf(fc13_yellow_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v13_struct_0 @ ( k6_yellow_1 @ k1_xboole_0 @ A ) @ np__1 ) & ( v1_orders_2 @ ( k6_yellow_1 @ k1_xboole_0 @ A ) ) ) ) ),file(yellow_1,fc13_yellow_1)).
thf(fc14_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( v1_funcop_1 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(funcop_1,fc14_funcop_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(fc14_yellow_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( k6_yellow_1 @ k1_xboole_0 @ A ) ) & ( v5_orders_2 @ ( k6_yellow_1 @ k1_xboole_0 @ A ) ) & ( v1_lattice3 @ ( k6_yellow_1 @ k1_xboole_0 @ A ) ) & ( v2_lattice3 @ ( k6_yellow_1 @ k1_xboole_0 @ A ) ) ) ) ),file(yellow_1,fc14_yellow_1)).
thf(fc15_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( v3_funct_1 @ ( k2_funcop_1 @ A @ B ) ) ),file(funcop_1,fc15_funcop_1)).
thf(fc15_yellow_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( v4_orders_2 @ B ) & ( l1_orders_2 @ B ) ) => ( ( v1_orders_2 @ ( k6_yellow_1 @ A @ B ) ) & ( v4_orders_2 @ ( k6_yellow_1 @ A @ B ) ) ) ) ),file(yellow_1,fc15_yellow_1)).
thf(fc16_yellow_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( v5_orders_2 @ B ) & ( l1_orders_2 @ B ) ) => ( ( v1_orders_2 @ ( k6_yellow_1 @ A @ B ) ) & ( v5_orders_2 @ ( k6_yellow_1 @ A @ B ) ) ) ) ),file(yellow_1,fc16_yellow_1)).
thf(fc17_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( v4_relat_1 @ ( k2_funcop_1 @ A @ B ) @ A ) ),file(funcop_1,fc17_funcop_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(fc17_yellow_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v2_struct_0 @ B ) & ( v5_orders_2 @ B ) & ( v2_lattice3 @ B ) & ( l1_orders_2 @ B ) ) => ( ( v1_orders_2 @ ( k6_yellow_1 @ A @ B ) ) & ( v2_lattice3 @ ( k6_yellow_1 @ A @ B ) ) ) ) ),file(yellow_1,fc17_yellow_1)).
thf(fc18_yellow_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v2_struct_0 @ B ) & ( v5_orders_2 @ B ) & ( v1_lattice3 @ B ) & ( l1_orders_2 @ B ) ) => ( ( v1_orders_2 @ ( k6_yellow_1 @ A @ B ) ) & ( v1_lattice3 @ ( k6_yellow_1 @ A @ B ) ) ) ) ),file(yellow_1,fc18_yellow_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_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ ( k2_funcop_1 @ A @ B ) ) & ( v1_funct_1 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(funcop_1,fc1_funcop_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_waybel10,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( l1_orders_2 @ B ) ) => ( v4_waybel_3 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(waybel10,fc1_waybel10)).
thf(fc1_waybel17,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v3_orders_2 @ B ) & ( l1_orders_2 @ B ) ) => ( v5_waybel_3 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(waybel17,fc1_waybel17)).
thf(fc1_xboole_0,axiom,( v1_xboole_0 @ k1_xboole_0 ),file(xboole_0,fc1_xboole_0)).
thf(fc1_yellow16,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v3_orders_2 @ B ) & ( v4_orders_2 @ B ) & ( v5_orders_2 @ B ) & ( l1_orders_2 @ B ) ) => ( v1_yellow16 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(yellow16,fc1_yellow16)).
thf(fc1_yellow_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k1_tarski @ A ) @ ( k1_tarski @ A ) ) ) ) => ( ( v13_struct_0 @ ( g1_orders_2 @ ( k1_tarski @ A ) @ B ) @ np__1 ) & ( v1_orders_2 @ ( g1_orders_2 @ ( k1_tarski @ A ) @ B ) ) ) ) ),file(yellow_0,fc1_yellow_0)).
thf(fc20_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_relat_1 @ ( k2_funcop_1 @ A @ B ) ) & ( v4_relat_1 @ ( k2_funcop_1 @ A @ B ) @ A ) & ( v1_funct_1 @ ( k2_funcop_1 @ A @ B ) ) & ( v1_partfun1 @ ( k2_funcop_1 @ A @ B ) @ A ) ) ),file(funcop_1,fc20_funcop_1)).
thf(fc22_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ C @ B ) ) => ( v5_relat_1 @ ( k2_funcop_1 @ A @ C ) @ B ) ) ),file(funcop_1,fc22_funcop_1)).
thf(fc2_funcop_1,axiom,( ! [A: $i] : ( v1_xboole_0 @ ( k2_funcop_1 @ k1_xboole_0 @ A ) ) ),file(funcop_1,fc2_funcop_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(fc2_waybel17,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ 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_orders_2 @ ( k6_yellow_1 @ A @ B ) ) & ( v3_lattice3 @ ( k6_yellow_1 @ A @ B ) ) ) ) ),file(waybel17,fc2_waybel17)).
thf(fc2_xboole_0,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) ),file(xboole_0,fc2_xboole_0)).
thf(fc2_yellow16,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v4_waybel_3 @ B ) & ( v1_yellow16 @ B ) ) => ( ( v1_orders_2 @ ( k5_yellow_1 @ A @ B ) ) & ( v4_orders_2 @ ( k5_yellow_1 @ A @ B ) ) & ( v5_orders_2 @ ( k5_yellow_1 @ A @ B ) ) ) ) ),file(yellow16,fc2_yellow16)).
thf(fc3_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ B ) => ( v1_xboole_0 @ ( k2_funcop_1 @ B @ A ) ) ) ),file(funcop_1,fc3_funcop_1)).
thf(fc4_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ~ ( v1_xboole_0 @ ( k2_funcop_1 @ B @ A ) ) ) ),file(funcop_1,fc4_funcop_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_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(fc7_waybel_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) & ( v4_waybel_3 @ B ) ) => ( ~ ( v2_struct_0 @ ( k5_yellow_1 @ A @ B ) ) & ( v1_orders_2 @ ( k5_yellow_1 @ A @ B ) ) ) ) ),file(waybel_3,fc7_waybel_3)).
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(fc8_waybel18,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ B ) & ( l1_struct_0 @ B ) ) => ( v4_waybel_3 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(waybel18,fc8_waybel18)).
thf(fc8_waybel_3,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) & ( v4_waybel_3 @ B ) & ( m1_subset_1 @ C @ A ) ) => ~ ( v2_struct_0 @ ( k1_funct_1 @ B @ C ) ) ) ),file(waybel_3,fc8_waybel_3)).
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(fc9_waybel_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) & ( v4_waybel_3 @ B ) ) => ( ( v1_monoid_0 @ ( k5_yellow_1 @ A @ B ) ) & ( v1_orders_2 @ ( k5_yellow_1 @ A @ B ) ) ) ) ),file(waybel_3,fc9_waybel_3)).
thf(free_g1_orders_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ A ) ) ) => ! [C: $i] : ! [D: $i] : ( ( = @ ( g1_orders_2 @ A @ B ) @ ( g1_orders_2 @ C @ D ) ) => ( ( = @ A @ C ) & ( = @ B @ D ) ) ) ) ),file(orders_2,g1_orders_2)).
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_monoid_0,axiom,( ? [A: $i] : ( ( l1_struct_0 @ A ) & ( v1_monoid_0 @ A ) ) ),file(monoid_0,rc1_monoid_0)).
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_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_xboole_0,axiom,( ? [A: $i] : ( v1_xboole_0 @ A ) ),file(xboole_0,rc1_xboole_0)).
thf(rc1_yellow_0,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ( v13_struct_0 @ A @ np__1 ) & ( v1_orders_2 @ A ) & ( v3_orders_2 @ A ) ) ),file(yellow_0,rc1_yellow_0)).
thf(rc1_yellow_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) ) ),file(yellow_1,rc1_yellow_1)).
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_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_relat_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ),file(relat_1,rc2_relat_1)).
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_xboole_0,axiom,( ? [A: $i] : ~ ( v1_xboole_0 @ A ) ),file(xboole_0,rc2_xboole_0)).
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_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_waybel_3,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) & ( v4_waybel_3 @ B ) & ( v5_waybel_3 @ B ) ) ),file(waybel_3,rc3_waybel_3)).
thf(rc3_yellow16,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v4_waybel_3 @ B ) & ( v1_yellow16 @ B ) ) ),file(yellow16,rc3_yellow16)).
thf(rc3_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ? [B: $i] : ( ( m1_yellow_0 @ B @ A ) & ( v1_orders_2 @ B ) & ( v4_yellow_0 @ B @ A ) ) ) ),file(yellow_0,rc3_yellow_0)).
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_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_yellow_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_yellow_0 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v1_orders_2 @ B ) & ( v4_yellow_0 @ B @ A ) ) ) ),file(yellow_0,rc4_yellow_0)).
thf(rc5_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) ),file(funct_1,rc5_funct_1)).
thf(rc6_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(rc7_funct_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v4_funct_1 @ A ) ) ),file(funct_1,rc7_funct_1)).
thf(rc9_funct_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) ) ),file(funct_1,rc9_funct_1)).
thf(redefinition_k1_yellow16,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v2_struct_0 @ B ) & ( l1_orders_2 @ B ) & ( m1_subset_1 @ C @ A ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k6_yellow_1 @ A @ B ) ) ) ) ) => ( = @ ( k1_yellow16 @ A @ B @ C @ D ) @ ( k5_card_3 @ C @ D ) ) ) ),file(yellow16,k1_yellow16)).
thf(redefinition_k2_yellow16,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v4_waybel_3 @ B ) & ( v1_yellow16 @ B ) & ( m1_subset_1 @ C @ A ) ) => ( = @ ( k2_yellow16 @ A @ B @ C ) @ ( k1_funct_1 @ B @ C ) ) ) ),file(yellow16,k2_yellow16)).
thf(redefinition_k3_waybel_3,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) & ( m1_subset_1 @ C @ A ) ) => ( = @ ( k3_waybel_3 @ A @ B @ C ) @ ( k1_funct_1 @ B @ C ) ) ) ),file(waybel_3,k3_waybel_3)).
thf(redefinition_k5_waybel_3,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_yellow_1 @ B ) & ( v4_waybel_3 @ B ) & ( m1_subset_1 @ C @ A ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k5_yellow_1 @ A @ B ) ) ) ) ) => ( = @ ( k5_waybel_3 @ A @ B @ C @ D ) @ ( k5_card_3 @ C @ D ) ) ) ),file(waybel_3,k5_waybel_3)).
thf(redefinition_k7_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k7_funcop_1 @ A @ B ) @ ( k2_funcop_1 @ A @ B ) ) ),file(funcop_1,k7_funcop_1)).
thf(reflexivity_r1_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( r1_tarski @ A @ A ) ),file(tarski,r1_tarski)).
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(t7_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( r2_hidden @ B @ A ) => ( = @ ( k1_funct_1 @ ( k2_funcop_1 @ A @ C ) @ B ) @ C ) ) ),file(funcop_1,t7_funcop_1)).
thf(t8_boole,axiom,( ! [A: $i] : ! [B: $i] : ~ ( ( v1_xboole_0 @ A ) & ~ ( = @ A @ B ) & ( v1_xboole_0 @ B ) ) ),file(boole,t8_boole)).
thf(s1_yellow16,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ D ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ D ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ D ) & ( v4_waybel_3 @ C ) & ( v1_yellow16 @ C ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ D ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ D ) & ( v4_waybel_3 @ B ) & ( v1_yellow16 @ B ) ) => ( ( ! [E: $i] : ( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k5_yellow_1 @ D @ B ) ) ) ) => ( ( A @ E @ ( k5_yellow_1 @ D @ B ) ) => ! [F: $i] : ( ( m1_subset_1 @ F @ D ) => ( A @ ( k5_waybel_3 @ D @ B @ F @ E ) @ ( k2_yellow16 @ D @ B @ F ) ) ) ) ) & ! [E: $i] : ( ( m1_subset_1 @ E @ D ) => ( ( v4_yellow_0 @ ( k2_yellow16 @ D @ B @ E ) @ ( k2_yellow16 @ D @ C @ E ) ) & ( m1_yellow_0 @ ( k2_yellow16 @ D @ B @ E ) @ ( k2_yellow16 @ D @ C @ E ) ) ) ) & ! [E: $i] : ( ( m1_subset_1 @ E @ D ) => ! [F: $i] : ( ( m1_subset_1 @ F @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k2_yellow16 @ D @ B @ E ) ) ) ) => ( ( A @ F @ ( k2_yellow16 @ D @ B @ E ) ) => ( r5_yellow16 @ ( k2_yellow16 @ D @ B @ E ) @ ( k2_yellow16 @ D @ C @ E ) @ F ) ) ) ) ) => ! [E: $i] : ( ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k5_yellow_1 @ D @ B ) ) ) ) => ( ( A @ E @ ( k5_yellow_1 @ D @ B ) ) => ( r5_yellow16 @ ( k5_yellow_1 @ D @ B ) @ ( k5_yellow_1 @ D @ C ) @ E ) ) ) ) ) ),file(yellow16,s1_yellow16)).
thf(s2_yellow16,conjecture,( ( ! [A: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k6_yellow_1 @ f1_s2_yellow16 @ f3_s2_yellow16 ) ) ) ) => ( ( p1_s2_yellow16 @ A @ ( k6_yellow_1 @ f1_s2_yellow16 @ f3_s2_yellow16 ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ f1_s2_yellow16 ) => ( p1_s2_yellow16 @ ( k1_yellow16 @ f1_s2_yellow16 @ f3_s2_yellow16 @ B @ A ) @ f3_s2_yellow16 ) ) ) ) & ! [A: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( u1_struct_0 @ f3_s2_yellow16 ) ) ) => ( ( p1_s2_yellow16 @ A @ f3_s2_yellow16 ) => ( r5_yellow16 @ f3_s2_yellow16 @ f2_s2_yellow16 @ A ) ) ) ) => ! [A: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k6_yellow_1 @ f1_s2_yellow16 @ f3_s2_yellow16 ) ) ) ) => ( ( p1_s2_yellow16 @ A @ ( k6_yellow_1 @ f1_s2_yellow16 @ f3_s2_yellow16 ) ) => ( r5_yellow16 @ ( k6_yellow_1 @ f1_s2_yellow16 @ f3_s2_yellow16 ) @ ( k6_yellow_1 @ f1_s2_yellow16 @ f2_s2_yellow16 ) @ A ) ) ) ),file(yellow16,s2_yellow16)).
