% Mizar problem: e11_100_1_1_1,waybel23,2206,50 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(c1_100_type,type,( c1_100__waybel23: $i )).
thf(c1_100_1_type,type,( c1_100_1__waybel23: $i )).
thf(c2_100_type,type,( c2_100__waybel23: $i )).
thf(c4_100_1_1_1_type,type,( c4_100_1_1_1__waybel23: $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_waybel23_type,type,( k1_waybel23: $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_yellow_1_type,type,( k2_yellow_1: $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_tarski_type,type,( k3_tarski: $i > $i )).
thf(k4_waybel23_type,type,( k4_waybel23: $i > $i > $i )).
thf(k5_yellow_0_type,type,( k5_yellow_0: $i > $i > $i )).
thf(k7_relat_1_type,type,( k7_relat_1: $i > $i > $i )).
thf(k7_relset_1_type,type,( k7_relset_1: $i > $i > $i > $i > $i )).
thf(k7_waybel_0_type,type,( k7_waybel_0: $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_waybel23_type,type,( m1_waybel23: $i > $i > $o )).
thf(m1_yellow_0_type,type,( m1_yellow_0: $i > $i > $o )).
thf(m2_subset_1_type,type,( m2_subset_1: $i > $i > $i > $o )).
thf(r1_orders_2_type,type,( r1_orders_2: $i > $i > $i > $o )).
thf(r3_orders_2_type,type,( r3_orders_2: $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_card_1_type,type,( v1_card_1: $i > $o )).
thf(v1_finset_1_type,type,( v1_finset_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_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v1_subset_1_type,type,( v1_subset_1: $i > $i > $o )).
thf(v1_waybel_0_type,type,( v1_waybel_0: $i > $i > $o )).
thf(v1_waybel_8_type,type,( v1_waybel_8: $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_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_finset_1_type,type,( v2_finset_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_waybel23_type,type,( v2_waybel23: $i > $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_waybel_8_type,type,( v2_waybel_8: $i > $o )).
thf(v2_yellow_0_type,type,( v2_yellow_0: $i > $o )).
thf(v3_card_1_type,type,( v3_card_1: $i > $i > $o )).
thf(v3_lattice3_type,type,( v3_lattice3: $i > $o )).
thf(v3_orders_2_type,type,( v3_orders_2: $i > $o )).
thf(v3_ordinal1_type,type,( v3_ordinal1: $i > $o )).
thf(v3_waybel_3_type,type,( v3_waybel_3: $i > $o )).
thf(v3_waybel_8_type,type,( v3_waybel_8: $i > $o )).
thf(v3_yellow_0_type,type,( v3_yellow_0: $i > $o )).
thf(v4_orders_2_type,type,( v4_orders_2: $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $i > $i > $o )).
thf(v4_yellow_0_type,type,( v4_yellow_0: $i > $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(v6_waybel23_type,type,( v6_waybel23: $i > $i > $o )).
thf(v7_ordinal1_type,type,( v7_ordinal1: $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(cc1_waybel_8,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v2_waybel_8 @ A ) ) => ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v3_waybel_3 @ A ) ) ) ) ),file(waybel_8,cc1_waybel_8)).
thf(cc2_waybel_8,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v2_waybel_8 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v24_waybel_0 @ A ) & ( v1_waybel_8 @ A ) ) ) ) ),file(waybel_8,cc2_waybel_8)).
thf(cc3_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc3_card_1)).
thf(cc5_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_finset_1 @ A ) ) ),file(card_1,cc5_card_1)).
thf(fc11_waybel_8,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_waybel_8 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) & ( v2_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ) ),file(waybel_8,fc11_waybel_8)).
thf(cc15_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_yellow_0 @ A ) & ( v25_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_yellow_0 @ A ) ) ) ) ),file(waybel_0,cc15_waybel_0)).
thf(cc1_waybel_3,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v16_waybel_0 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( ( v1_waybel_0 @ B @ A ) & ( v2_waybel_0 @ B @ A ) ) ) ) ),file(waybel_3,cc1_waybel_3)).
thf(cc1_yellow_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_yellow_0 @ A ) & ( v24_waybel_0 @ A ) & ( v25_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) ) ) ) ),file(yellow_2,cc1_yellow_2)).
thf(cc2_waybel_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(cc3_waybel_8,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v3_waybel_8 @ A ) ) => ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v2_waybel_8 @ A ) ) ) ) ),file(waybel_8,cc3_waybel_8)).
thf(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_card_1,axiom,( ! [A: $i] : ( ( ( v3_ordinal1 @ A ) & ( v1_finset_1 @ A ) ) => ( v7_ordinal1 @ A ) ) ),file(card_1,cc6_card_1)).
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(fc12_waybel_8,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v3_waybel_8 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) & ( v3_waybel_8 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ) ),file(waybel_8,fc12_waybel_8)).
thf(rc6_waybel23,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ A ) & ~ ( v7_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_yellow_0 @ A ) & ( v3_yellow_0 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v24_waybel_0 @ A ) & ( v2_waybel_3 @ A ) & ( v3_waybel_3 @ A ) ) ),file(waybel23,rc6_waybel23)).
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_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_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(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(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_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(card_1,cc1_card_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_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_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_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_waybel_8,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v7_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) ) => ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) & ( v3_waybel_8 @ A ) ) ) ) ),file(waybel_8,cc4_waybel_8)).
thf(cc4_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v3_yellow_0 @ A ) => ( ( v1_yellow_0 @ A ) & ( v2_yellow_0 @ A ) ) ) ) ),file(yellow_0,cc4_yellow_0)).
thf(cc5_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(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_card_1,axiom,( ! [A: $i] : ( ( v3_card_1 @ A @ k1_xboole_0 ) => ( v1_xboole_0 @ A ) ) ),file(card_1,cc7_card_1)).
thf(cc7_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ~ ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc7_struct_0)).
thf(cc8_waybel23,axiom,( ! [A: $i] : ( ( ~ ( v7_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_yellow_0 @ A ) & ( v1_lattice3 @ A ) & ( v3_waybel_3 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_waybel23 @ B @ A ) => ~ ( v1_xboole_0 @ B ) ) ) ),file(waybel23,cc8_waybel23)).
thf(cc9_card_1,axiom,( ! [A: $i] : ( ( v3_card_1 @ A @ np__1 ) => ( ~ ( v1_xboole_0 @ A ) & ( v1_zfmisc_1 @ A ) ) ) ),file(card_1,cc9_card_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(fc10_waybel_8,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v24_waybel_0 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) & ( v24_waybel_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ) ),file(waybel_8,fc10_waybel_8)).
thf(fc19_struct_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_card_1 @ A ) & ( v13_struct_0 @ B @ A ) & ( l1_struct_0 @ B ) ) => ( v3_card_1 @ ( u1_struct_0 @ B ) @ A ) ) ),file(struct_0,fc19_struct_0)).
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(fc4_waybel_8,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ( ~ ( v2_struct_0 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) & ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ) ),file(waybel_8,fc4_waybel_8)).
thf(fc4_yellow_2,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) & ( v2_lattice3 @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) ) ) ),file(yellow_2,fc4_yellow_2)).
thf(fc5_waybel_8,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) & ( v3_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ) ),file(waybel_8,fc5_waybel_8)).
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_waybel_8,axiom,( ! [A: $i] : ( ( ( v4_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) & ( v4_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ) ),file(waybel_8,fc6_waybel_8)).
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_8,axiom,( ! [A: $i] : ( ( ( v5_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) & ( v5_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ) ),file(waybel_8,fc7_waybel_8)).
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_8,axiom,( ! [A: $i] : ( ( ( v2_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) & ( v2_lattice3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ) ),file(waybel_8,fc8_waybel_8)).
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_8,axiom,( ! [A: $i] : ( ( ( v1_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) & ( v1_lattice3 @ ( g1_orders_2 @ ( u1_struct_0 @ A ) @ ( u1_orders_2 @ A ) ) ) ) ) ),file(waybel_8,fc9_waybel_8)).
thf(rc1_card_1,axiom,( ? [A: $i] : ( v1_card_1 @ A ) ),file(card_1,rc1_card_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_waybel_8,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ A ) & ( v13_struct_0 @ A @ np__1 ) & ( v1_orders_2 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) ) ),file(waybel_8,rc1_waybel_8)).
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(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(rc23_struct_0,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ? [B: $i] : ( ( l1_struct_0 @ B ) & ( v13_struct_0 @ B @ A ) ) ) ),file(struct_0,rc23_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(rc3_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_subset_1 @ B @ A ) ) ),file(subset_1,rc3_subset_1)).
thf(rc4_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v1_subset_1 @ B @ A ) ) ) ),file(subset_1,rc4_subset_1)).
thf(rc5_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ? [B: $i] : ( v3_card_1 @ B @ A ) ) ),file(card_1,rc5_card_1)).
thf(rc6_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v3_card_1 @ B @ A ) ) ) ),file(card_1,rc6_card_1)).
thf(rc7_card_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ( v3_card_1 @ B @ np__1 ) ) ) ),file(card_1,rc7_card_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(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(dt_k3_tarski,axiom,( $true ),file(tarski,k3_tarski)).
thf(dt_k7_relat_1,axiom,( $true ),file(relat_1,k7_relat_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(cc10_card_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_zfmisc_1 @ A ) ) => ( v3_card_1 @ A @ np__1 ) ) ),file(card_1,cc10_card_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_finset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_finset_1 @ A ) ) ),file(finset_1,cc1_finset_1)).
thf(cc1_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc1_struct_0)).
thf(cc1_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_xboole_0 @ B ) ) ) ),file(subset_1,cc1_subset_1)).
thf(cc1_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( ( v1_xboole_0 @ B ) => ( ( v1_waybel_0 @ B @ A ) & ( v2_waybel_0 @ B @ A ) ) ) ) ) ),file(waybel_0,cc1_waybel_0)).
thf(cc1_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_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc2_card_1)).
thf(cc3_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_xboole_0 @ C ) ) ) ),file(relset_1,cc3_relset_1)).
thf(cc3_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( ( v1_xboole_0 @ B ) => ( v1_subset_1 @ B @ A ) ) ) ) ),file(subset_1,cc3_subset_1)).
thf(cc3_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_lattice3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_yellow_0 @ A ) ) ) ) ),file(yellow_0,cc3_yellow_0)).
thf(cc4_finset_1,axiom,( ! [A: $i] : ( ( v1_zfmisc_1 @ A ) => ( v1_finset_1 @ A ) ) ),file(finset_1,cc4_finset_1)).
thf(cc4_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) => ( v1_xboole_0 @ C ) ) ) ),file(relset_1,cc4_relset_1)).
thf(cc4_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( ( v2_struct_0 @ A ) & ( v8_struct_0 @ A ) ) ) ) ),file(struct_0,cc4_struct_0)).
thf(cc4_subset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ~ ( v1_subset_1 @ B @ A ) ) ) ),file(subset_1,cc4_subset_1)).
thf(cc4_waybel23,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( ( v2_waybel23 @ B @ A ) => ( v1_waybel_0 @ B @ A ) ) ) ) ),file(waybel23,cc4_waybel23)).
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_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_waybel23,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) => ( ( v6_waybel23 @ B @ A ) => ~ ( v1_xboole_0 @ B ) ) ) ) ),file(waybel23,cc5_waybel23)).
thf(cc6_finset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_finset_1 @ A ) ) ),file(finset_1,cc6_finset_1)).
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_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_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_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_card_1 @ A @ k1_xboole_0 ) ) ),file(card_1,cc8_card_1)).
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_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_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(fc10_card_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_finset_1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ~ ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(card_1,fc10_card_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_waybel23,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v5_orders_2 @ A ) & ( v1_yellow_0 @ A ) & ( l1_orders_2 @ A ) & ( v6_waybel23 @ B @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) => ( ( v1_orders_2 @ ( k5_yellow_0 @ A @ B ) ) & ( v1_yellow_0 @ ( k5_yellow_0 @ A @ B ) ) & ( v4_yellow_0 @ ( k5_yellow_0 @ A @ B ) @ A ) ) ) ),file(waybel23,fc10_waybel23)).
thf(fc11_card_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_finset_1 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ~ ( v1_finset_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) ),file(card_1,fc11_card_1)).
thf(fc13_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ B ) ) => ( v1_finset_1 @ ( k7_relat_1 @ A @ B ) ) ) ),file(finset_1,fc13_finset_1)).
thf(fc15_waybel23,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ B ) & ( v4_yellow_0 @ B @ A ) & ( m1_yellow_0 @ B @ A ) ) => ( ( v1_funct_1 @ ( k4_waybel23 @ A @ B ) ) & ( v1_funct_2 @ ( k4_waybel23 @ A @ B ) @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ B ) ) ) @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) ) & ( v5_orders_3 @ ( k4_waybel23 @ A @ B ) @ ( k2_yellow_1 @ ( k7_waybel_0 @ B ) ) @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) ) ) ),file(waybel23,fc15_waybel23)).
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_yellow_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) => ( ~ ( v2_struct_0 @ ( k5_yellow_0 @ A @ B ) ) & ( v1_orders_2 @ ( k5_yellow_0 @ A @ B ) ) & ( v4_yellow_0 @ ( k5_yellow_0 @ A @ B ) @ A ) ) ) ),file(yellow_2,fc1_yellow_2)).
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_waybel23,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( l1_orders_2 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v2_waybel23 @ B @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) => ( ( v1_orders_2 @ ( k5_yellow_0 @ A @ B ) ) & ( v4_yellow_0 @ ( k5_yellow_0 @ A @ B ) @ A ) & ( v1_lattice3 @ ( k5_yellow_0 @ A @ B ) ) ) ) ),file(waybel23,fc2_waybel23)).
thf(fc34_finset_1,axiom,( ! [A: $i] : ( ( ( v1_finset_1 @ A ) & ( v5_finset_1 @ A ) ) => ( v1_finset_1 @ ( k3_tarski @ A ) ) ) ),file(finset_1,fc34_finset_1)).
thf(fc3_yellow_2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( l1_orders_2 @ A ) ) => ~ ( v1_xboole_0 @ ( k7_waybel_0 @ A ) ) ) ),file(yellow_2,fc3_yellow_2)).
thf(fc6_yellow_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ( ~ ( v2_struct_0 @ ( k2_yellow_1 @ A ) ) & ( v1_orders_2 @ ( k2_yellow_1 @ A ) ) ) ) ),file(yellow_1,fc6_yellow_1)).
thf(rc1_finset_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) ) ),file(finset_1,rc1_finset_1)).
thf(rc1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ),file(relset_1,rc1_relset_1)).
thf(rc1_subset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) ) ) ),file(subset_1,rc1_subset_1)).
thf(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(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_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_waybel23,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ( v6_waybel23 @ B @ A ) ) ) ),file(waybel23,rc2_waybel23)).
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_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(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_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(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(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(reflexivity_r3_orders_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ( r3_orders_2 @ A @ B @ B ) ) ),file(orders_2,r3_orders_2)).
thf(redefinition_k1_waybel23,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( l1_orders_2 @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) ) ) ) => ( = @ ( k1_waybel23 @ A @ B ) @ ( k3_tarski @ B ) ) ) ),file(waybel23,k1_waybel23)).
thf(redefinition_k7_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( = @ ( k7_relset_1 @ A @ B @ C @ D ) @ ( k7_relat_1 @ C @ D ) ) ) ),file(relset_1,k7_relset_1)).
thf(redefinition_m2_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ A @ B ) <=> ( m1_subset_1 @ C @ B ) ) ) ),file(subset_1,m2_subset_1)).
thf(redefinition_r3_orders_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ( ( r3_orders_2 @ A @ B @ C ) <=> ( r1_orders_2 @ A @ B @ C ) ) ) ),file(orders_2,r3_orders_2)).
thf(dt_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_k1_waybel23,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( l1_orders_2 @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) ) ) ) => ( m1_subset_1 @ ( k1_waybel23 @ A @ B ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ),file(waybel23,k1_waybel23)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_yellow_1,axiom,( ! [A: $i] : ( ( v1_orders_2 @ ( k2_yellow_1 @ A ) ) & ( l1_orders_2 @ ( k2_yellow_1 @ A ) ) ) ),file(yellow_1,k2_yellow_1)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k4_waybel23,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ B ) & ( v4_yellow_0 @ B @ A ) & ( m1_yellow_0 @ B @ A ) ) => ( ( v1_funct_1 @ ( k4_waybel23 @ A @ B ) ) & ( v1_funct_2 @ ( k4_waybel23 @ A @ B ) @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ B ) ) ) @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) ) & ( m1_subset_1 @ ( k4_waybel23 @ A @ B ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ B ) ) ) @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) ) ) ) ) ) ),file(waybel23,k4_waybel23)).
thf(dt_k5_yellow_0,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_orders_2 @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) => ( ( v1_orders_2 @ ( k5_yellow_0 @ A @ B ) ) & ( v4_yellow_0 @ ( k5_yellow_0 @ A @ B ) @ A ) & ( m1_yellow_0 @ ( k5_yellow_0 @ A @ B ) @ A ) ) ) ),file(yellow_0,k5_yellow_0)).
thf(dt_k7_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( m1_subset_1 @ ( k7_relset_1 @ A @ B @ C @ D ) @ ( k1_zfmisc_1 @ B ) ) ) ),file(relset_1,k7_relset_1)).
thf(dt_k7_waybel_0,axiom,( $true ),file(waybel_0,k7_waybel_0)).
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_m1_waybel23,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v3_waybel_3 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_waybel23 @ B @ A ) => ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ),file(waybel23,m1_waybel23)).
thf(dt_m2_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ A @ B ) => ( m1_subset_1 @ C @ A ) ) ) ),file(subset_1,m2_subset_1)).
thf(dt_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(dt_c1_100__waybel23,axiom,( ( v3_orders_2 @ c1_100__waybel23 ) & ( v4_orders_2 @ c1_100__waybel23 ) & ( v5_orders_2 @ c1_100__waybel23 ) & ( v1_yellow_0 @ c1_100__waybel23 ) & ( v1_lattice3 @ c1_100__waybel23 ) & ( v3_waybel_3 @ c1_100__waybel23 ) & ( l1_orders_2 @ c1_100__waybel23 ) ),file(waybel23,c1_100__waybel23)).
thf(dt_c1_100_1__waybel23,axiom,( m1_subset_1 @ c1_100_1__waybel23 @ ( k1_zfmisc_1 @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ ( k5_yellow_0 @ c1_100__waybel23 @ c2_100__waybel23 ) ) ) ) ) ),file(waybel23,c1_100_1__waybel23)).
thf(dt_c2_100__waybel23,axiom,( ( v6_waybel23 @ c2_100__waybel23 @ c1_100__waybel23 ) & ( m1_waybel23 @ c2_100__waybel23 @ c1_100__waybel23 ) ),file(waybel23,c2_100__waybel23)).
thf(dt_c4_100_1_1_1__waybel23,axiom,( ( v1_finset_1 @ c4_100_1_1_1__waybel23 ) & ( m1_subset_1 @ c4_100_1_1_1__waybel23 @ ( k1_zfmisc_1 @ ( k1_waybel23 @ c1_100__waybel23 @ ( k7_relset_1 @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ ( k5_yellow_0 @ c1_100__waybel23 @ c2_100__waybel23 ) ) ) ) @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ c1_100__waybel23 ) ) ) @ ( k4_waybel23 @ c1_100__waybel23 @ ( k5_yellow_0 @ c1_100__waybel23 @ c2_100__waybel23 ) ) @ c1_100_1__waybel23 ) ) ) ) ),file(waybel23,c4_100_1_1_1__waybel23)).
thf(cc1_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v1_lattice3 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(lattice3,cc1_lattice3)).
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_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_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_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(cc5_finset_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_zfmisc_1 @ A ) ) ),file(finset_1,cc5_finset_1)).
thf(cc7_waybel23,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v3_waybel_3 @ A ) & ( l1_orders_2 @ A ) ) => ! [B: $i] : ( ( m1_waybel23 @ B @ A ) => ( v2_waybel23 @ B @ A ) ) ) ),file(waybel23,cc7_waybel23)).
thf(fc11_waybel23,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v3_orders_2 @ A ) & ( l1_orders_2 @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) => ( ( v1_orders_2 @ ( k5_yellow_0 @ A @ B ) ) & ( v3_orders_2 @ ( k5_yellow_0 @ A @ B ) ) & ( v4_yellow_0 @ ( k5_yellow_0 @ A @ B ) @ A ) ) ) ),file(waybel23,fc11_waybel23)).
thf(fc12_waybel23,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v4_orders_2 @ A ) & ( l1_orders_2 @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) => ( ( v1_orders_2 @ ( k5_yellow_0 @ A @ B ) ) & ( v4_orders_2 @ ( k5_yellow_0 @ A @ B ) ) & ( v4_yellow_0 @ ( k5_yellow_0 @ A @ B ) @ A ) ) ) ),file(waybel23,fc12_waybel23)).
thf(fc13_waybel23,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v5_orders_2 @ A ) & ( l1_orders_2 @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) => ( ( v1_orders_2 @ ( k5_yellow_0 @ A @ B ) ) & ( v5_orders_2 @ ( k5_yellow_0 @ A @ B ) ) & ( v4_yellow_0 @ ( k5_yellow_0 @ A @ B ) @ A ) ) ) ),file(waybel23,fc13_waybel23)).
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(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_subset_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_zfmisc_1 @ A ) ) ),file(subset_1,fc1_subset_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(fc5_yellow_1,axiom,( ! [A: $i] : ( ( v1_orders_2 @ ( k2_yellow_1 @ A ) ) & ( v3_orders_2 @ ( k2_yellow_1 @ A ) ) & ( v4_orders_2 @ ( k2_yellow_1 @ A ) ) & ( v5_orders_2 @ ( k2_yellow_1 @ A ) ) ) ),file(yellow_1,fc5_yellow_1)).
thf(fc5_yellow_2,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) & ( v1_lattice3 @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) ) ) ),file(yellow_2,fc5_yellow_2)).
thf(fc6_yellow_2,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v1_yellow_0 @ A ) & ( l1_orders_2 @ A ) ) => ( ( v1_orders_2 @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) & ( v3_lattice3 @ ( k2_yellow_1 @ ( k7_waybel_0 @ A ) ) ) ) ) ),file(yellow_2,fc6_yellow_2)).
thf(fc9_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(card_1,fc9_card_1)).
thf(rc3_card_1,axiom,( ? [A: $i] : ~ ( v1_finset_1 @ A ) ),file(card_1,rc3_card_1)).
thf(rc4_card_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_finset_1 @ B ) ) ) ),file(card_1,rc4_card_1)).
thf(rc4_waybel23,axiom,( ! [A: $i] : ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v3_waybel_3 @ A ) & ( l1_orders_2 @ A ) ) => ? [B: $i] : ( ( m1_waybel23 @ B @ A ) & ( v6_waybel23 @ B @ A ) ) ) ),file(waybel23,rc4_waybel23)).
thf(e10_100_1_1_1__waybel23,axiom,( ! [A: $i] : ~ ( ( r2_hidden @ A @ c4_100_1_1_1__waybel23 ) & ! [B: $i] : ( ( m2_subset_1 @ B @ ( u1_struct_0 @ c1_100__waybel23 ) @ c2_100__waybel23 ) => ~ ( ? [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ ( k5_yellow_0 @ c1_100__waybel23 @ c2_100__waybel23 ) ) ) ) ) & ? [D: $i] : ( ( m1_subset_1 @ D @ ( u1_struct_0 @ c1_100__waybel23 ) ) & ? [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ c1_100__waybel23 ) ) & ( = @ D @ A ) & ( = @ E @ B ) & ( r2_hidden @ C @ c1_100_1__waybel23 ) & ( r2_hidden @ B @ C ) & ( r3_orders_2 @ c1_100__waybel23 @ D @ E ) ) ) ) ) ) ) ),file(waybel23,e10_100_1_1_1__waybel23)).
thf(s1_monoid_1,axiom,( ! [A: $i > $i > $o] : ! [B: $i] : ! [C: $i] : ( ! [D: $i] : ~ ( ( r2_hidden @ 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] : ( ( r2_hidden @ E @ C ) => ( A @ E @ ( k1_funct_1 @ D @ E ) ) ) ) ) ),file(monoid_1,s1_monoid_1)).
thf(e11_100_1_1_1__waybel23,conjecture,( ? [A: $i] : ( ( v1_funct_1 @ A ) & ( v1_funct_2 @ A @ c4_100_1_1_1__waybel23 @ c2_100__waybel23 ) & ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ c4_100_1_1_1__waybel23 @ c2_100__waybel23 ) ) ) & ! [B: $i] : ( ( r2_hidden @ B @ c4_100_1_1_1__waybel23 ) => ? [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ ( k2_yellow_1 @ ( k7_waybel_0 @ ( k5_yellow_0 @ c1_100__waybel23 @ c2_100__waybel23 ) ) ) ) ) & ? [D: $i] : ( ( m1_subset_1 @ D @ ( u1_struct_0 @ c1_100__waybel23 ) ) & ? [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ c1_100__waybel23 ) ) & ( = @ D @ B ) & ( = @ E @ ( k1_funct_1 @ A @ B ) ) & ( r2_hidden @ C @ c1_100_1__waybel23 ) & ( r2_hidden @ ( k1_funct_1 @ A @ B ) @ C ) & ( r3_orders_2 @ c1_100__waybel23 @ D @ E ) ) ) ) ) ) ),file(waybel23,e11_100_1_1_1__waybel23)).
