% Mizar problem: e2_41_1_1,waybel10,1094,56 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(c1_41_type,type,( c1_41__waybel10: $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_waybel10_type,type,( k1_waybel10: $i > $i > $i )).
thf(k1_xboole_0_type,type,( k1_xboole_0: $i )).
thf(k1_yellow_2_type,type,( k1_yellow_2: $i > $i > $i > $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_waybel10_type,type,( k2_waybel10: $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_funct_2_type,type,( k3_funct_2: $i > $i > $i > $i > $i )).
thf(k3_waybel10_type,type,( k3_waybel10: $i > $i )).
thf(k4_waybel10_type,type,( k4_waybel10: $i > $i )).
thf(k6_yellow_1_type,type,( k6_yellow_1: $i > $i > $i )).
thf(k7_lattice3_type,type,( k7_lattice3: $i > $i )).
thf(k7_yellow_1_type,type,( k7_yellow_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(v11_quantal1_type,type,( v11_quantal1: $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_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_yellow_0_type,type,( v1_yellow_0: $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_struct_0_type,type,( v2_struct_0: $i > $o )).
thf(v2_waybel_0_type,type,( v2_waybel_0: $i > $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_waybel_0_type,type,( v3_waybel_0: $i > $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_yellow_0_type,type,( v4_yellow_0: $i > $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_yellow_0_type,type,( v5_yellow_0: $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(v7_yellow_0_type,type,( v7_yellow_0: $i > $i > $o )).
thf(v8_struct_0_type,type,( v8_struct_0: $i > $o )).
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_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_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(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(fc23_waybel_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v16_waybel_0 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( k7_lattice3 @ A ) ) & ( v16_waybel_0 @ ( k7_lattice3 @ A ) ) ) ) ),file(waybel_0,fc23_waybel_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(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_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(spc1_boole,axiom,( ~ ( v1_xboole_0 @ np__1 ) ),file(boole,spc1_boole)).
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(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_xboole_0,axiom,( $true ),file(xboole_0,k1_xboole_0)).
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_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(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_yellow_0,axiom,( ! [A: $i] : ( ( ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_yellow_0 @ B @ A ) => ( ( ~ ( v2_struct_0 @ B ) & ( v4_yellow_0 @ B @ A ) & ( v5_yellow_0 @ B @ A ) ) => ( ~ ( v2_struct_0 @ B ) & ( v2_lattice3 @ B ) & ( v4_yellow_0 @ B @ A ) & ( v5_yellow_0 @ B @ A ) ) ) ) ) ),file(yellow_0,cc11_yellow_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_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_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v1_lattice3 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(lattice3,cc1_lattice3)).
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_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v2_lattice3 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(lattice3,cc2_lattice3)).
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_waybel10,axiom,( ! [A: $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 ) ) => ! [B: $i] : ( ( m1_yellow_0 @ B @ A ) => ( ( v7_yellow_0 @ B @ A ) => ~ ( v2_struct_0 @ B ) ) ) ) ),file(waybel10,cc2_waybel10)).
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_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(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_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ~ ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc7_struct_0)).
thf(cc8_funct_1,axiom,( ! [A: $i] : ( ( v4_funct_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) ) ) ),file(funct_1,cc8_funct_1)).
thf(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(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_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_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_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_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(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_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) => ( ( v1_relat_1 @ ( k1_funct_1 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_1 @ A @ B ) ) ) ) ),file(funcop_1,fc8_funcop_1)).
thf(fc8_struct_0,axiom,( ! [A: $i] : ( ( ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc8_struct_0)).
thf(fc9_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc9_struct_0)).
thf(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_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_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(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(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(rc7_funct_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v4_funct_1 @ A ) ) ),file(funct_1,rc7_funct_1)).
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(dt_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_k7_yellow_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_orders_2 @ A ) & ( l1_orders_2 @ B ) ) => ( ( v1_orders_2 @ ( k7_yellow_1 @ A @ B ) ) & ( v4_yellow_0 @ ( k7_yellow_1 @ A @ B ) @ ( k6_yellow_1 @ ( u1_struct_0 @ A ) @ B ) ) & ( m1_yellow_0 @ ( k7_yellow_1 @ A @ B ) @ ( k6_yellow_1 @ ( u1_struct_0 @ A ) @ B ) ) ) ) ),file(yellow_1,k7_yellow_1)).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_0)).
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(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_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_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_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_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_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_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_waybel_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_yellow_0 @ B @ A ) => ( ( v7_yellow_0 @ B @ A ) => ( v3_waybel_0 @ B @ A ) ) ) ) ),file(waybel_0,cc2_waybel_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_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_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_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(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_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_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_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_yellow_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_yellow_0 @ B @ A ) => ( ( v7_yellow_0 @ B @ A ) => ( v5_yellow_0 @ B @ A ) ) ) ) ),file(yellow_0,cc9_yellow_0)).
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(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(fc5_waybel10,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ B ) & ( v3_orders_2 @ B ) & ( l1_orders_2 @ B ) ) => ( ~ ( v2_struct_0 @ ( k7_yellow_1 @ A @ B ) ) & ( v1_orders_2 @ ( k7_yellow_1 @ A @ B ) ) & ( v4_yellow_0 @ ( k7_yellow_1 @ A @ B ) @ ( k6_yellow_1 @ ( u1_struct_0 @ A ) @ B ) ) ) ) ),file(waybel10,fc5_waybel10)).
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_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_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(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_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_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_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(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(redefinition_k1_waybel10,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_orders_2 @ A ) & ( v4_yellow_0 @ B @ A ) & ( m1_yellow_0 @ B @ A ) ) => ( = @ ( k1_waybel10 @ A @ B ) @ ( k7_lattice3 @ B ) ) ) ),file(waybel10,k1_waybel10)).
thf(redefinition_k3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( m1_subset_1 @ D @ A ) ) => ( = @ ( k3_funct_2 @ A @ B @ C @ D ) @ ( k1_funct_1 @ C @ D ) ) ) ),file(funct_2,k3_funct_2)).
thf(dt_k1_waybel10,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_orders_2 @ A ) & ( v4_yellow_0 @ B @ A ) & ( m1_yellow_0 @ B @ A ) ) => ( ( v1_orders_2 @ ( k1_waybel10 @ A @ B ) ) & ( v4_yellow_0 @ ( k1_waybel10 @ A @ B ) @ ( k7_lattice3 @ A ) ) & ( m1_yellow_0 @ ( k1_waybel10 @ A @ B ) @ ( k7_lattice3 @ A ) ) ) ) ),file(waybel10,k1_waybel10)).
thf(dt_k1_yellow_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ 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_orders_2 @ ( k1_yellow_2 @ A @ B @ C ) ) & ( v4_yellow_0 @ ( k1_yellow_2 @ A @ B @ C ) @ B ) & ( m1_yellow_0 @ ( k1_yellow_2 @ A @ B @ C ) @ B ) ) ) ),file(yellow_2,k1_yellow_2)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_waybel10,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ( ~ ( v2_struct_0 @ ( k2_waybel10 @ A ) ) & ( v1_orders_2 @ ( k2_waybel10 @ A ) ) & ( v4_yellow_0 @ ( k2_waybel10 @ A ) @ ( k7_yellow_1 @ A @ A ) ) & ( m1_yellow_0 @ ( k2_waybel10 @ A ) @ ( k7_yellow_1 @ A @ A ) ) ) ) ),file(waybel10,k2_waybel10)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( m1_subset_1 @ D @ A ) ) => ( m1_subset_1 @ ( k3_funct_2 @ A @ B @ C @ D ) @ B ) ) ),file(funct_2,k3_funct_2)).
thf(dt_k3_waybel10,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ~ ( v2_struct_0 @ ( k3_waybel10 @ A ) ) & ( v1_orders_2 @ ( k3_waybel10 @ A ) ) & ( l1_orders_2 @ ( k3_waybel10 @ A ) ) ) ) ),file(waybel10,k3_waybel10)).
thf(dt_k4_waybel10,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ( ~ ( v2_struct_0 @ ( k4_waybel10 @ A ) ) & ( v1_orders_2 @ ( k4_waybel10 @ A ) ) & ( v4_yellow_0 @ ( k4_waybel10 @ A ) @ ( k3_waybel10 @ A ) ) & ( m1_yellow_0 @ ( k4_waybel10 @ A ) @ ( k3_waybel10 @ A ) ) ) ) ),file(waybel10,k4_waybel10)).
thf(dt_k7_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v1_orders_2 @ ( k7_lattice3 @ A ) ) & ( l1_orders_2 @ ( k7_lattice3 @ A ) ) ) ) ),file(lattice3,k7_lattice3)).
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_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(dt_c1_41__waybel10,axiom,( ~ ( v2_struct_0 @ c1_41__waybel10 ) & ( v3_orders_2 @ c1_41__waybel10 ) & ( v4_orders_2 @ c1_41__waybel10 ) & ( v5_orders_2 @ c1_41__waybel10 ) & ( l1_orders_2 @ c1_41__waybel10 ) ),file(waybel10,c1_41__waybel10)).
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_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ) ),file(relset_1,cc2_relset_1)).
thf(cc3_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_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(fc2_yellow_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ 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 ) ) ) ) ) => ( ~ ( v2_struct_0 @ ( k1_yellow_2 @ A @ B @ C ) ) & ( v1_orders_2 @ ( k1_yellow_2 @ A @ B @ C ) ) & ( v4_yellow_0 @ ( k1_yellow_2 @ A @ B @ C ) @ B ) ) ) ),file(yellow_2,fc2_yellow_2)).
thf(fc5_lattice3,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( k7_lattice3 @ A ) ) & ( v3_orders_2 @ ( k7_lattice3 @ A ) ) & ( v4_orders_2 @ ( k7_lattice3 @ A ) ) & ( v5_orders_2 @ ( k7_lattice3 @ A ) ) ) ) ),file(lattice3,fc5_lattice3)).
thf(fc6_lattice3,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ( ~ ( v2_struct_0 @ ( k7_lattice3 @ A ) ) & ( v1_orders_2 @ ( k7_lattice3 @ A ) ) ) ) ),file(lattice3,fc6_lattice3)).
thf(fc6_waybel10,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ~ ( v2_struct_0 @ ( k3_waybel10 @ A ) ) & ( v1_orders_2 @ ( k3_waybel10 @ A ) ) & ( v3_orders_2 @ ( k3_waybel10 @ A ) ) & ( v4_orders_2 @ ( k3_waybel10 @ A ) ) & ( v5_orders_2 @ ( k3_waybel10 @ A ) ) ) ) ),file(waybel10,fc6_waybel10)).
thf(fc7_waybel10,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ~ ( v2_struct_0 @ ( k3_waybel10 @ A ) ) & ( v1_orders_2 @ ( k3_waybel10 @ A ) ) & ( v3_lattice3 @ ( k3_waybel10 @ A ) ) ) ) ),file(waybel10,fc7_waybel10)).
thf(fc9_waybel10,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 ) & ( v1_funct_1 @ B ) & ( v1_funct_2 @ B @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( v7_waybel_1 @ B @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ) => ( ( v1_orders_2 @ ( k1_yellow_2 @ A @ A @ B ) ) & ( v4_yellow_0 @ ( k1_yellow_2 @ A @ A @ B ) @ A ) & ( v7_yellow_0 @ ( k1_yellow_2 @ A @ A @ B ) @ A ) ) ) ),file(waybel10,fc9_waybel10)).
thf(e1_41_1_1__waybel10,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ ( k2_waybel10 @ c1_41__waybel10 ) ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k7_lattice3 @ ( k4_waybel10 @ c1_41__waybel10 ) ) ) ) & ? [C: $i] : ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ c1_41__waybel10 ) @ ( u1_struct_0 @ c1_41__waybel10 ) ) & ( v7_waybel_1 @ C @ c1_41__waybel10 ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ c1_41__waybel10 ) @ ( u1_struct_0 @ c1_41__waybel10 ) ) ) ) & ( = @ C @ A ) & ( = @ B @ ( k1_yellow_2 @ c1_41__waybel10 @ c1_41__waybel10 @ C ) ) ) ) ) ),file(waybel10,e1_41_1_1__waybel10)).
thf(s3_funct_2,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ! [C: $i] : ( ! [D: $i] : ( ( m1_subset_1 @ D @ C ) => ? [E: $i] : ( ( m1_subset_1 @ E @ B ) & ( A @ D @ E ) ) ) => ? [D: $i] : ( ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ C @ B ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ C @ B ) ) ) & ! [E: $i] : ( ( m1_subset_1 @ E @ C ) => ( A @ E @ ( k3_funct_2 @ C @ B @ D @ E ) ) ) ) ) ),file(funct_2,s3_funct_2)).
thf(e2_41_1_1__waybel10,conjecture,( ? [A: $i] : ( ( v1_funct_1 @ A ) & ( v1_funct_2 @ A @ ( u1_struct_0 @ ( k2_waybel10 @ c1_41__waybel10 ) ) @ ( u1_struct_0 @ ( k1_waybel10 @ ( k3_waybel10 @ c1_41__waybel10 ) @ ( k4_waybel10 @ c1_41__waybel10 ) ) ) ) & ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k2_waybel10 @ c1_41__waybel10 ) ) @ ( u1_struct_0 @ ( k1_waybel10 @ ( k3_waybel10 @ c1_41__waybel10 ) @ ( k4_waybel10 @ c1_41__waybel10 ) ) ) ) ) ) & ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k2_waybel10 @ c1_41__waybel10 ) ) ) => ? [C: $i] : ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u1_struct_0 @ c1_41__waybel10 ) @ ( u1_struct_0 @ c1_41__waybel10 ) ) & ( v7_waybel_1 @ C @ c1_41__waybel10 ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ c1_41__waybel10 ) @ ( u1_struct_0 @ c1_41__waybel10 ) ) ) ) & ( = @ C @ B ) & ( = @ ( k3_funct_2 @ ( u1_struct_0 @ ( k2_waybel10 @ c1_41__waybel10 ) ) @ ( u1_struct_0 @ ( k1_waybel10 @ ( k3_waybel10 @ c1_41__waybel10 ) @ ( k4_waybel10 @ c1_41__waybel10 ) ) ) @ A @ B ) @ ( k1_yellow_2 @ c1_41__waybel10 @ c1_41__waybel10 @ C ) ) ) ) ) ),file(waybel10,e2_41_1_1__waybel10)).
