% Mizar problem: e1_45,waybel26,1486,55 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(c1_45_type,type,( c1_45__waybel26: $i )).
thf(c2_45_type,type,( c2_45__waybel26: $i )).
thf(g1_orders_2_type,type,( g1_orders_2: $i > $i > $i )).
thf(g1_pre_topc_type,type,( g1_pre_topc: $i > $i > $i )).
thf(k10_funct_6_type,type,( k10_funct_6: $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_waybel26_type,type,( k1_waybel26: $i > $i > $i )).
thf(k1_xboole_0_type,type,( k1_xboole_0: $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_funcop_1_type,type,( k2_funcop_1: $i > $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_waybel18_type,type,( k3_waybel18: $i > $i > $i )).
thf(k7_funcop_1_type,type,( k7_funcop_1: $i > $i > $i )).
thf(k9_waybel18_type,type,( k9_waybel18: $i )).
thf(u1_orders_2_type,type,( u1_orders_2: $i > $i )).
thf(u1_pre_topc_type,type,( u1_pre_topc: $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_pre_topc_type,type,( l1_pre_topc: $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(v10_waybel_1_type,type,( v10_waybel_1: $i > $o )).
thf(v11_waybel_1_type,type,( v11_waybel_1: $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_pre_topc_type,type,( v1_pre_topc: $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_tdlat_3_type,type,( v1_tdlat_3: $i > $o )).
thf(v1_waybel18_type,type,( v1_waybel18: $i > $o )).
thf(v1_waybel25_type,type,( v1_waybel25: $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_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_compts_1_type,type,( v2_compts_1: $i > $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_pralg_1_type,type,( v2_pralg_1: $i > $o )).
thf(v2_pre_topc_type,type,( v2_pre_topc: $i > $o )).
thf(v2_struct_0_type,type,( v2_struct_0: $i > $o )).
thf(v2_tdlat_3_type,type,( v2_tdlat_3: $i > $o )).
thf(v2_waybel18_type,type,( v2_waybel18: $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_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_tdlat_3_type,type,( v3_tdlat_3: $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_pre_topc_type,type,( v4_pre_topc: $i > $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(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_3_type,type,( v5_waybel_3: $i > $o )).
thf(v6_pre_topc_type,type,( v6_pre_topc: $i > $o )).
thf(v7_pre_topc_type,type,( v7_pre_topc: $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(v9_waybel_1_type,type,( v9_waybel_1: $i > $o )).
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(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(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(rc5_waybel_1,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_orders_2 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v9_waybel_1 @ A ) ) ),file(waybel_1,rc5_waybel_1)).
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(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(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(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_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(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(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(rc4_waybel_1,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_orders_2 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v11_waybel_1 @ A ) ) ),file(waybel_1,rc4_waybel_1)).
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_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v1_lattice3 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(lattice3,cc1_lattice3)).
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(cc2_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v2_lattice3 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(lattice3,cc2_lattice3)).
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(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(cc7_tsp_1,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) & ( v3_tdlat_3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v1_tdlat_3 @ A ) ) ) ) ),file(tsp_1,cc7_tsp_1)).
thf(cc8_tsp_1,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ~ ( v1_tdlat_3 @ A ) & ( v3_tdlat_3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ~ ( v6_pre_topc @ A ) ) ) ) ),file(tsp_1,cc8_tsp_1)).
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(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(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(free_g1_pre_topc,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) ) => ! [C: $i] : ! [D: $i] : ( ( = @ ( g1_pre_topc @ A @ B ) @ ( g1_pre_topc @ C @ D ) ) => ( ( = @ A @ C ) & ( = @ B @ D ) ) ) ) ),file(pre_topc,g1_pre_topc)).
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_g1_pre_topc,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) ) => ( ( v1_pre_topc @ ( g1_pre_topc @ A @ B ) ) & ( l1_pre_topc @ ( g1_pre_topc @ A @ B ) ) ) ) ),file(pre_topc,g1_pre_topc)).
thf(dt_k1_xboole_0,axiom,( $true ),file(xboole_0,k1_xboole_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_pre_topc,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( m1_subset_1 @ ( u1_pre_topc @ A ) @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ),file(pre_topc,u1_pre_topc)).
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(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_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(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_tsp_1,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v1_tdlat_3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) ) ) ) ),file(tsp_1,cc2_tsp_1)).
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_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_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(cc4_finset_1,axiom,( ! [A: $i] : ( ( v1_zfmisc_1 @ A ) => ( v1_finset_1 @ A ) ) ),file(finset_1,cc4_finset_1)).
thf(cc4_tsp_1,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ~ ( v7_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v2_tdlat_3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ~ ( v6_pre_topc @ A ) ) ) ) ),file(tsp_1,cc4_tsp_1)).
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_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ( ~ ( v2_struct_0 @ A ) & ~ ( v8_struct_0 @ A ) ) ) ) ),file(struct_0,cc5_struct_0)).
thf(cc5_subset_1,axiom,( ! [A: $i] : ( ( v1_zfmisc_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_zfmisc_1 @ B ) ) ) ),file(subset_1,cc5_subset_1)).
thf(cc5_tsp_1,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) & ( v2_tdlat_3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) & ( v2_pre_topc @ A ) ) ) ) ),file(tsp_1,cc5_tsp_1)).
thf(cc6_funct_1,axiom,( ! [A: $i] : ( ( ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) ) ) ),file(funct_1,cc6_funct_1)).
thf(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(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(cc9_tsp_1,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) & ~ ( v1_tdlat_3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ~ ( v3_tdlat_3 @ A ) ) ) ) ),file(tsp_1,cc9_tsp_1)).
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(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(fc1_pre_topc,axiom,( ! [A: $i] : ( ( ( v2_pre_topc @ A ) & ( l1_pre_topc @ A ) ) => ~ ( v1_xboole_0 @ ( u1_pre_topc @ A ) ) ) ),file(pre_topc,fc1_pre_topc)).
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(fc2_waybel25,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v2_waybel18 @ A ) & ( l1_pre_topc @ A ) ) => ( ( v1_pre_topc @ ( g1_pre_topc @ ( u1_struct_0 @ A ) @ ( u1_pre_topc @ A ) ) ) & ( v2_waybel18 @ ( g1_pre_topc @ ( u1_struct_0 @ A ) @ ( u1_pre_topc @ A ) ) ) ) ) ),file(waybel25,fc2_waybel25)).
thf(fc6_pre_topc,axiom,( ! [A: $i] : ( ( ( v2_pre_topc @ A ) & ( l1_pre_topc @ A ) ) => ( ( v1_pre_topc @ ( g1_pre_topc @ ( u1_struct_0 @ A ) @ ( u1_pre_topc @ A ) ) ) & ( v2_pre_topc @ ( g1_pre_topc @ ( u1_struct_0 @ A ) @ ( u1_pre_topc @ A ) ) ) ) ) ),file(pre_topc,fc6_pre_topc)).
thf(fc7_pre_topc,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_pre_topc @ A ) ) => ( ~ ( v2_struct_0 @ ( g1_pre_topc @ ( u1_struct_0 @ A ) @ ( u1_pre_topc @ A ) ) ) & ( v1_pre_topc @ ( g1_pre_topc @ ( u1_struct_0 @ A ) @ ( u1_pre_topc @ A ) ) ) ) ) ),file(pre_topc,fc7_pre_topc)).
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_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_pre_topc,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k1_zfmisc_1 @ A ) ) ) ) => ( ~ ( v2_struct_0 @ ( g1_pre_topc @ A @ B ) ) & ( v1_pre_topc @ ( g1_pre_topc @ A @ B ) ) ) ) ),file(pre_topc,fc9_pre_topc)).
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_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_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(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(rc1_yellow_6,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v2_pralg_1 @ A ) ) ),file(yellow_6,rc1_yellow_6)).
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(rc2_yellow_6,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v2_pralg_1 @ B ) & ( v4_waybel_3 @ B ) ) ),file(yellow_6,rc2_yellow_6)).
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_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(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(rc4_tsp_1,axiom,( ? [A: $i] : ( ( l1_pre_topc @ A ) & ~ ( v2_struct_0 @ A ) & ~ ( v7_struct_0 @ A ) & ( v1_pre_topc @ A ) & ( v2_pre_topc @ A ) & ~ ( v6_pre_topc @ A ) & ~ ( v1_tdlat_3 @ A ) ) ),file(tsp_1,rc4_tsp_1)).
thf(rc4_yellow_6,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v2_pralg_1 @ B ) & ( v1_yellow_1 @ B ) & ( v4_waybel_3 @ B ) ) ),file(yellow_6,rc4_yellow_6)).
thf(rc5_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_finset_1 @ C ) ) ),file(finset_1,rc5_finset_1)).
thf(rc5_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_zfmisc_1 @ B ) ) ) ),file(subset_1,rc5_subset_1)).
thf(rc6_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ? [C: $i] : ( ~ ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_finset_1 @ C ) ) ) ),file(finset_1,rc6_finset_1)).
thf(rc6_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) ) ),file(funct_1,rc6_funct_1)).
thf(rc6_pre_topc,axiom,( ! [A: $i] : ( ( ( v2_pre_topc @ A ) & ( l1_pre_topc @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ( v4_pre_topc @ B @ A ) ) ) ),file(pre_topc,rc6_pre_topc)).
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(rc7_pre_topc,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( l1_pre_topc @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v4_pre_topc @ B @ A ) ) ) ),file(pre_topc,rc7_pre_topc)).
thf(spc1_boole,axiom,( ~ ( v1_xboole_0 @ np__1 ) ),file(boole,spc1_boole)).
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(abstractness_v1_pre_topc,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( v1_pre_topc @ A ) => ( = @ A @ ( g1_pre_topc @ ( u1_struct_0 @ A ) @ ( u1_pre_topc @ A ) ) ) ) ) ),file(pre_topc,v1_pre_topc)).
thf(dt_k1_tarski,axiom,( $true ),file(tarski,k1_tarski)).
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_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_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(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_waybel25,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) & ( v2_waybel18 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) & ( v1_waybel25 @ A ) ) ) ) ),file(waybel25,cc10_waybel25)).
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_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_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_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_relat_1 @ C ) ) ),file(relset_1,cc1_relset_1)).
thf(cc1_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc1_struct_0)).
thf(cc1_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_xboole_0 @ B ) ) ) ),file(subset_1,cc1_subset_1)).
thf(cc1_tsp_1,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v6_pre_topc @ A ) ) ) ) ),file(tsp_1,cc1_tsp_1)).
thf(cc1_waybel18,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_waybel18 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_pralg_1 @ A ) ) ) ),file(waybel18,cc1_waybel18)).
thf(cc1_waybel24,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( 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_funct_1 @ C ) & ( v3_funct_1 @ C ) & ( v1_funct_2 @ C @ ( 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_orders_3 @ C @ A @ B ) ) ) ) ) ),file(waybel24,cc1_waybel24)).
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(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_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_pre_topc,axiom,( ! [A: $i] : ( ( ( v2_pre_topc @ A ) & ( l1_pre_topc @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( ( v1_xboole_0 @ B ) => ( v4_pre_topc @ B @ A ) ) ) ) ),file(pre_topc,cc2_pre_topc)).
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(cc3_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_finset_1 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) ) => ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( v1_finset_1 @ C ) ) ) ) ) ),file(finset_1,cc3_finset_1)).
thf(cc3_funct_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_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_tsp_1,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ~ ( v6_pre_topc @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ~ ( v1_tdlat_3 @ A ) ) ) ) ),file(tsp_1,cc3_tsp_1)).
thf(cc3_yellow14,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v2_struct_0 @ A ) => ( v3_yellow_0 @ A ) ) ) ),file(yellow14,cc3_yellow14)).
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_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) => ( v1_xboole_0 @ C ) ) ) ),file(relset_1,cc4_relset_1)).
thf(cc4_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( ( v2_struct_0 @ A ) & ( v8_struct_0 @ A ) ) ) ) ),file(struct_0,cc4_struct_0)).
thf(cc4_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ~ ( v1_subset_1 @ B @ A ) ) ) ),file(subset_1,cc4_subset_1)).
thf(cc5_finset_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_zfmisc_1 @ A ) ) ),file(finset_1,cc5_finset_1)).
thf(cc5_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) => ( ~ ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ) ),file(funct_1,cc5_funct_1)).
thf(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_tsp_1,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ~ ( v7_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ~ ( v2_tdlat_3 @ A ) ) ) ) ),file(tsp_1,cc6_tsp_1)).
thf(cc6_waybel25,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) & ( v1_waybel25 @ A ) ) ) ) ),file(waybel25,cc6_waybel25)).
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_pre_topc,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( v7_pre_topc @ A ) => ( v6_pre_topc @ A ) ) ) ),file(pre_topc,cc7_pre_topc)).
thf(cc8_finset_1,axiom,( ! [A: $i] : ( ( v5_finset_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v5_finset_1 @ B ) ) ) ),file(finset_1,cc8_finset_1)).
thf(cc8_funct_1,axiom,( ! [A: $i] : ( ( v4_funct_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) ) ) ),file(funct_1,cc8_funct_1)).
thf(cc8_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(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(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(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(fc14_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_finset_1 @ A ) & ( v1_finset_1 @ B ) ) => ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(finset_1,fc14_finset_1)).
thf(fc14_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(fc17_finset_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( v1_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(finset_1,fc17_finset_1)).
thf(fc1_finset_1,axiom,( ! [A: $i] : ( v1_finset_1 @ ( k1_tarski @ A ) ) ),file(finset_1,fc1_finset_1)).
thf(fc1_struct_0,axiom,( ! [A: $i] : ( ( ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc1_struct_0)).
thf(fc1_subset_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) ),file(subset_1,fc1_subset_1)).
thf(fc1_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_waybel18,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_waybel18 @ B ) ) => ( ~ ( v2_struct_0 @ ( k3_waybel18 @ A @ B ) ) & ( v1_pre_topc @ ( k3_waybel18 @ A @ B ) ) & ( v2_pre_topc @ ( k3_waybel18 @ A @ B ) ) ) ) ),file(waybel18,fc1_waybel18)).
thf(fc2_borsuk_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( l1_pre_topc @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ) => ( v2_compts_1 @ ( k1_tarski @ B ) @ A ) ) ),file(borsuk_1,fc2_borsuk_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_waybel18,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_waybel18 @ B ) ) => ( ( v1_pre_topc @ ( k3_waybel18 @ A @ B ) ) & ( v2_pre_topc @ ( k3_waybel18 @ A @ B ) ) & ( v1_monoid_0 @ ( k3_waybel18 @ A @ B ) ) ) ) ),file(waybel18,fc2_waybel18)).
thf(fc2_waybel26,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( l1_pre_topc @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_pre_topc @ B ) & ( v6_pre_topc @ B ) & ( l1_pre_topc @ B ) ) => ( ~ ( v2_struct_0 @ ( k1_waybel26 @ A @ B ) ) & ( v1_orders_2 @ ( k1_waybel26 @ A @ B ) ) & ( v5_orders_2 @ ( k1_waybel26 @ A @ B ) ) ) ) ),file(waybel26,fc2_waybel26)).
thf(fc2_xboole_0,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) ),file(xboole_0,fc2_xboole_0)).
thf(fc30_finset_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( v5_finset_1 @ ( k1_tarski @ A ) ) ) ),file(finset_1,fc30_finset_1)).
thf(fc31_finset_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( v5_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(finset_1,fc31_finset_1)).
thf(fc35_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_finset_1 @ A ) ) => ( v1_finset_1 @ ( k1_funct_1 @ A @ B ) ) ) ),file(finset_1,fc35_finset_1)).
thf(fc3_yellow_6,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_struct_0 @ B ) => ( v2_pralg_1 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(yellow_6,fc3_yellow_6)).
thf(fc5_yellow14,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_pre_topc @ B ) & ( v6_pre_topc @ B ) & ( l1_pre_topc @ B ) ) => ( ( v1_pre_topc @ ( k3_waybel18 @ A @ ( k7_funcop_1 @ A @ B ) ) ) & ( v2_pre_topc @ ( k3_waybel18 @ A @ ( k7_funcop_1 @ A @ B ) ) ) & ( v6_pre_topc @ ( k3_waybel18 @ A @ ( k7_funcop_1 @ A @ B ) ) ) ) ) ),file(yellow14,fc5_yellow14)).
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(fc6_yellow14,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_pre_topc @ B ) & ( v7_pre_topc @ B ) & ( l1_pre_topc @ B ) ) => ( ( v1_pre_topc @ ( k3_waybel18 @ A @ ( k7_funcop_1 @ A @ B ) ) ) & ( v2_pre_topc @ ( k3_waybel18 @ A @ ( k7_funcop_1 @ A @ B ) ) ) & ( v7_pre_topc @ ( k3_waybel18 @ A @ ( k7_funcop_1 @ A @ B ) ) ) ) ) ),file(yellow14,fc6_yellow14)).
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_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(fc9_waybel18,axiom,( ! [A: $i] : ! [B: $i] : ( ( l1_pre_topc @ B ) => ( v1_waybel18 @ ( k2_funcop_1 @ A @ B ) ) ) ),file(waybel18,fc9_waybel18)).
thf(rc11_pre_topc,axiom,( ? [A: $i] : ( ( l1_pre_topc @ A ) & ( v2_struct_0 @ A ) & ( v1_pre_topc @ A ) ) ),file(pre_topc,rc11_pre_topc)).
thf(rc12_pre_topc,axiom,( ? [A: $i] : ( ( l1_pre_topc @ A ) & ( v2_struct_0 @ A ) & ( v1_pre_topc @ A ) & ( v2_pre_topc @ A ) ) ),file(pre_topc,rc12_pre_topc)).
thf(rc1_finset_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) ) ),file(finset_1,rc1_finset_1)).
thf(rc1_monoid_0,axiom,( ? [A: $i] : ( ( l1_struct_0 @ A ) & ( v1_monoid_0 @ A ) ) ),file(monoid_0,rc1_monoid_0)).
thf(rc1_pre_topc,axiom,( ? [A: $i] : ( ( l1_pre_topc @ A ) & ( v1_pre_topc @ A ) ) ),file(pre_topc,rc1_pre_topc)).
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_tsp_1,axiom,( ? [A: $i] : ( ( l1_pre_topc @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_pre_topc @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) ) ),file(tsp_1,rc1_tsp_1)).
thf(rc1_waybel18,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_waybel18 @ B ) ) ),file(waybel18,rc1_waybel18)).
thf(rc1_waybel25,axiom,( ? [A: $i] : ( ( l1_pre_topc @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_pre_topc @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) & ( v2_waybel18 @ A ) ) ),file(waybel25,rc1_waybel25)).
thf(rc1_waybel26,axiom,( ? [A: $i] : ( ( l1_pre_topc @ A ) & ~ ( v2_struct_0 @ A ) & ~ ( v7_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) & ( v2_waybel18 @ A ) & ( v1_waybel25 @ A ) ) ),file(waybel26,rc1_waybel26)).
thf(rc1_yellow14,axiom,( ? [A: $i] : ( ( l1_struct_0 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_monoid_0 @ A ) ) ),file(yellow14,rc1_yellow14)).
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_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_pre_topc,axiom,( ? [A: $i] : ( ( l1_pre_topc @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_pre_topc @ A ) & ( v2_pre_topc @ A ) ) ),file(pre_topc,rc2_pre_topc)).
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_tsp_1,axiom,( ? [A: $i] : ( ( l1_pre_topc @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_pre_topc @ A ) & ( v2_pre_topc @ A ) & ~ ( v6_pre_topc @ A ) ) ),file(tsp_1,rc2_tsp_1)).
thf(rc2_waybel18,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_waybel18 @ B ) ) ),file(waybel18,rc2_waybel18)).
thf(rc2_yellow14,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_orders_2 @ A ) & ( v1_monoid_0 @ A ) ) ),file(yellow14,rc2_yellow14)).
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_tsp_1,axiom,( ? [A: $i] : ( ( l1_pre_topc @ A ) & ~ ( v2_struct_0 @ A ) & ~ ( v7_struct_0 @ A ) & ( v1_pre_topc @ A ) & ( v2_pre_topc @ A ) & ( v6_pre_topc @ A ) ) ),file(tsp_1,rc3_tsp_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(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(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(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_pre_topc,axiom,( ? [A: $i] : ( ( l1_pre_topc @ A ) & ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( v7_pre_topc @ A ) ) ),file(pre_topc,rc9_pre_topc)).
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(dt_k10_funct_6,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ ( k10_funct_6 @ A ) ) & ( v1_funct_1 @ ( k10_funct_6 @ A ) ) & ( v1_funcop_1 @ ( k10_funct_6 @ A ) ) ) ) ),file(funct_6,k10_funct_6)).
thf(dt_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_k1_waybel26,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( l1_pre_topc @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_pre_topc @ B ) & ( l1_pre_topc @ B ) ) => ( ~ ( v2_struct_0 @ ( k1_waybel26 @ A @ B ) ) & ( v1_orders_2 @ ( k1_waybel26 @ A @ B ) ) & ( l1_orders_2 @ ( k1_waybel26 @ A @ B ) ) ) ) ),file(waybel26,k1_waybel26)).
thf(dt_k3_waybel18,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_waybel18 @ B ) ) => ( ( v1_pre_topc @ ( k3_waybel18 @ A @ B ) ) & ( v2_pre_topc @ ( k3_waybel18 @ A @ B ) ) & ( l1_pre_topc @ ( k3_waybel18 @ A @ B ) ) ) ) ),file(waybel18,k3_waybel18)).
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_k9_waybel18,axiom,( ( v1_pre_topc @ k9_waybel18 ) & ( l1_pre_topc @ k9_waybel18 ) ),file(waybel18,k9_waybel18)).
thf(dt_l1_pre_topc,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( l1_struct_0 @ A ) ) ),file(pre_topc,l1_pre_topc)).
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_45__waybel26,axiom,( ~ ( v2_struct_0 @ c1_45__waybel26 ) & ( v2_pre_topc @ c1_45__waybel26 ) & ( l1_pre_topc @ c1_45__waybel26 ) ),file(waybel26,c1_45__waybel26)).
thf(dt_c2_45__waybel26,axiom,( ~ ( v1_xboole_0 @ c2_45__waybel26 ) ),file(waybel26,c2_45__waybel26)).
thf(cc1_finset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_finset_1 @ A ) ) ),file(finset_1,cc1_finset_1)).
thf(cc1_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_funct_1 @ A ) ) ),file(funct_1,cc1_funct_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(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(cc6_finset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_finset_1 @ A ) ) ),file(finset_1,cc6_finset_1)).
thf(cc7_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v4_funct_1 @ A ) ) ),file(funct_1,cc7_funct_1)).
thf(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_pre_topc,axiom,( ! [A: $i] : ( ( l1_pre_topc @ A ) => ( ( v2_struct_0 @ A ) => ( v6_pre_topc @ A ) ) ) ),file(pre_topc,cc9_pre_topc)).
thf(fc1_waybel25,axiom,( ( v1_pre_topc @ k9_waybel18 ) & ~ ( v7_pre_topc @ k9_waybel18 ) ),file(waybel25,fc1_waybel25)).
thf(fc1_waybel26,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_pre_topc @ A ) & ( l1_pre_topc @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_pre_topc @ B ) & ( l1_pre_topc @ B ) ) => ( ~ ( v2_struct_0 @ ( k1_waybel26 @ A @ B ) ) & ( v1_monoid_0 @ ( k1_waybel26 @ A @ B ) ) & ( v1_orders_2 @ ( k1_waybel26 @ A @ B ) ) & ( v3_orders_2 @ ( k1_waybel26 @ A @ B ) ) & ( v4_orders_2 @ ( k1_waybel26 @ A @ B ) ) ) ) ),file(waybel26,fc1_waybel26)).
thf(fc4_waybel26,axiom,( ~ ( v7_struct_0 @ k9_waybel18 ) & ( v1_pre_topc @ k9_waybel18 ) & ( v1_waybel25 @ k9_waybel18 ) ),file(waybel26,fc4_waybel26)).
thf(fc5_waybel18,axiom,( ~ ( v2_struct_0 @ k9_waybel18 ) & ( v1_pre_topc @ k9_waybel18 ) & ( v2_pre_topc @ k9_waybel18 ) ),file(waybel18,fc5_waybel18)).
thf(fc6_waybel18,axiom,( ( v1_pre_topc @ k9_waybel18 ) & ( v6_pre_topc @ k9_waybel18 ) ),file(waybel18,fc6_waybel18)).
thf(fc7_waybel18,axiom,( ( v1_pre_topc @ k9_waybel18 ) & ( v2_waybel18 @ k9_waybel18 ) ),file(waybel18,fc7_waybel18)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(rc1_xboole_0,axiom,( ? [A: $i] : ( v1_xboole_0 @ A ) ),file(xboole_0,rc1_xboole_0)).
thf(rc2_xboole_0,axiom,( ? [A: $i] : ~ ( v1_xboole_0 @ A ) ),file(xboole_0,rc2_xboole_0)).
thf(s5_pboole,axiom,( ! [A: $i > $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ B ) & ! [D: $i] : ( ( m1_subset_1 @ D @ B ) => ( = @ ( k1_funct_1 @ C @ D ) @ ( A @ D ) ) ) ) ),file(pboole,s5_pboole)).
thf(e1_45__waybel26,conjecture,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ ( u1_struct_0 @ ( k1_waybel26 @ c1_45__waybel26 @ ( k3_waybel18 @ c2_45__waybel26 @ ( k7_funcop_1 @ c2_45__waybel26 @ k9_waybel18 ) ) ) ) ) & ( v1_funct_1 @ A ) & ( v1_partfun1 @ A @ ( u1_struct_0 @ ( k1_waybel26 @ c1_45__waybel26 @ ( k3_waybel18 @ c2_45__waybel26 @ ( k7_funcop_1 @ c2_45__waybel26 @ k9_waybel18 ) ) ) ) ) & ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k1_waybel26 @ c1_45__waybel26 @ ( k3_waybel18 @ c2_45__waybel26 @ ( k7_funcop_1 @ c2_45__waybel26 @ k9_waybel18 ) ) ) ) ) => ( = @ ( k1_funct_1 @ A @ B ) @ ( k10_funct_6 @ B ) ) ) ) ),file(waybel26,e1_45__waybel26)).
