% Mizar problem: e6_62_1_1,yellow21,1984,78 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(c1_62_type,type,( c1_62__yellow21: $i )).
thf(g2_altcat_1_type,type,( g2_altcat_1: $i > $i > $i > $i )).
thf(k1_xboole_0_type,type,( k1_xboole_0: $i )).
thf(k1_yellow21_type,type,( k1_yellow21: $i > $i )).
thf(k2_altcat_1_type,type,( k2_altcat_1: $i > $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_altcat_1_type,type,( k3_altcat_1: $i > $i > $i > $i )).
thf(k3_zfmisc_1_type,type,( k3_zfmisc_1: $i > $i > $i > $i )).
thf(k4_yellow21_type,type,( k4_yellow21: $i > $i > $i )).
thf(k6_yellow21_type,type,( k6_yellow21: $i > $i )).
thf(k7_yellow21_type,type,( k7_yellow21: $i > $i )).
thf(u1_altcat_1_type,type,( u1_altcat_1: $i > $i )).
thf(u1_struct_0_type,type,( u1_struct_0: $i > $i )).
thf(u2_altcat_1_type,type,( u2_altcat_1: $i > $i )).
thf(l1_altcat_1_type,type,( l1_altcat_1: $i > $o )).
thf(l1_orders_2_type,type,( l1_orders_2: $i > $o )).
thf(l1_struct_0_type,type,( l1_struct_0: $i > $o )).
thf(l2_altcat_1_type,type,( l2_altcat_1: $i > $o )).
thf(m1_altcat_2_type,type,( m1_altcat_2: $i > $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(m2_pboole_type,type,( m2_pboole: $i > $i > $i > $i > $o )).
thf(v11_altcat_1_type,type,( v11_altcat_1: $i > $o )).
thf(v12_altcat_1_type,type,( v12_altcat_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_altcat_2_type,type,( v1_altcat_2: $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_lattice3_type,type,( v1_lattice3: $i > $o )).
thf(v1_ordinal1_type,type,( v1_ordinal1: $i > $o )).
thf(v1_partfun1_type,type,( v1_partfun1: $i > $i > $o )).
thf(v1_relat_1_type,type,( v1_relat_1: $i > $o )).
thf(v1_waybel_8_type,type,( v1_waybel_8: $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_yellow21_type,type,( v1_yellow21: $i > $o )).
thf(v1_yellow_0_type,type,( v1_yellow_0: $i > $o )).
thf(v1_zfmisc_1_type,type,( v1_zfmisc_1: $i > $o )).
thf(v24_waybel_0_type,type,( v24_waybel_0: $i > $o )).
thf(v25_waybel_0_type,type,( v25_waybel_0: $i > $o )).
thf(v2_altcat_1_type,type,( v2_altcat_1: $i > $o )).
thf(v2_altcat_2_type,type,( v2_altcat_2: $i > $i > $o )).
thf(v2_funct_1_type,type,( v2_funct_1: $i > $o )).
thf(v2_lattice3_type,type,( v2_lattice3: $i > $o )).
thf(v2_orders_2_type,type,( v2_orders_2: $i > $o )).
thf(v2_ordinal1_type,type,( v2_ordinal1: $i > $o )).
thf(v2_setfam_1_type,type,( v2_setfam_1: $i > $o )).
thf(v2_struct_0_type,type,( v2_struct_0: $i > $o )).
thf(v2_waybel_3_type,type,( v2_waybel_3: $i > $o )).
thf(v2_waybel_8_type,type,( v2_waybel_8: $i > $o )).
thf(v2_yellow18_type,type,( v2_yellow18: $i > $o )).
thf(v2_yellow21_type,type,( v2_yellow21: $i > $o )).
thf(v2_yellow_0_type,type,( v2_yellow_0: $i > $o )).
thf(v3_altcat_2_type,type,( v3_altcat_2: $i > $i > $o )).
thf(v3_card_1_type,type,( v3_card_1: $i > $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_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_yellow18_type,type,( v3_yellow18: $i > $o )).
thf(v3_yellow21_type,type,( v3_yellow21: $i > $o )).
thf(v3_yellow_0_type,type,( v3_yellow_0: $i > $o )).
thf(v4_funct_1_type,type,( v4_funct_1: $i > $o )).
thf(v4_orders_2_type,type,( v4_orders_2: $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $i > $i > $o )).
thf(v4_yellow18_type,type,( v4_yellow18: $i > $o )).
thf(v4_yellow21_type,type,( v4_yellow21: $i > $o )).
thf(v5_orders_2_type,type,( v5_orders_2: $i > $o )).
thf(v5_ordinal1_type,type,( v5_ordinal1: $i > $o )).
thf(v6_altcat_1_type,type,( v6_altcat_1: $i > $o )).
thf(v6_ordinal1_type,type,( v6_ordinal1: $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(v9_altcat_1_type,type,( v9_altcat_1: $i > $o )).
thf(cc3_yellow18,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v9_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow18 @ A ) & ( v3_yellow18 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v4_yellow18 @ A ) ) ) ) ),file(yellow18,cc3_yellow18)).
thf(cc4_yellow21,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v3_yellow18 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( m1_altcat_2 @ B @ A ) => ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) ) => ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) & ( v3_yellow18 @ B ) ) ) ) ) ),file(yellow21,cc4_yellow21)).
thf(cc5_yellow21,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow18 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( m1_altcat_2 @ B @ A ) => ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) ) => ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) & ( v2_yellow18 @ B ) ) ) ) ) ),file(yellow21,cc5_yellow21)).
thf(cc6_yellow21,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v9_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( m1_altcat_2 @ B @ A ) => ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) ) => ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v9_altcat_1 @ B ) ) ) ) ) ),file(yellow21,cc6_yellow21)).
thf(rc2_yellow21,axiom,( ? [A: $i] : ( ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v6_altcat_1 @ A ) & ( v9_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v1_altcat_2 @ A ) & ( v2_yellow18 @ A ) & ( v3_yellow18 @ A ) & ( v4_yellow18 @ A ) & ( v1_yellow21 @ A ) & ( v2_yellow21 @ A ) & ( v4_yellow21 @ A ) ) ),file(yellow21,rc2_yellow21)).
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_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v13_struct_0 @ A @ np__1 ) => ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) ) ) ) ),file(struct_0,cc11_struct_0)).
thf(cc13_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v1_yellow_0 @ A ) & ( v24_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) ) ) ) ),file(waybel_0,cc13_waybel_0)).
thf(cc15_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_yellow_0 @ A ) & ( v25_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_yellow_0 @ A ) ) ) ) ),file(waybel_0,cc15_waybel_0)).
thf(cc2_ordinal1,axiom,( ! [A: $i] : ( ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc2_ordinal1)).
thf(cc2_waybel_3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_yellow_0 @ A ) & ( v16_waybel_0 @ A ) & ( v24_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) & ( v16_waybel_0 @ A ) ) ) ) ),file(waybel_3,cc2_waybel_3)).
thf(cc2_yellow18,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v4_yellow18 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v9_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow18 @ A ) & ( v3_yellow18 @ A ) ) ) ) ),file(yellow18,cc2_yellow18)).
thf(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(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(cc4_setfam_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ~ ( v2_setfam_1 @ A ) ) ),file(setfam_1,cc4_setfam_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(cc5_waybel_3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_yellow_0 @ A ) & ( v1_lattice3 @ A ) & ( v24_waybel_0 @ A ) & ( v2_waybel_3 @ A ) ) => ( ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v1_yellow_0 @ A ) & ( v1_lattice3 @ A ) & ( v3_waybel_3 @ A ) ) ) ) ),file(waybel_3,cc5_waybel_3)).
thf(cc5_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v1_yellow_0 @ A ) & ( v2_yellow_0 @ A ) ) => ( v3_yellow_0 @ A ) ) ) ),file(yellow_0,cc5_yellow_0)).
thf(cc6_card_1,axiom,( ! [A: $i] : ( ( ( v3_ordinal1 @ A ) & ( v1_finset_1 @ A ) ) => ( v7_ordinal1 @ A ) ) ),file(card_1,cc6_card_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(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_yellow21,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v1_yellow21 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( m1_altcat_2 @ B @ A ) => ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) ) => ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) & ( v1_yellow21 @ B ) ) ) ) ) ),file(yellow21,cc7_yellow21)).
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(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(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(rc12_waybel_0,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ A ) & ( v2_orders_2 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v16_waybel_0 @ A ) ) ),file(waybel_0,rc12_waybel_0)).
thf(rc1_waybel_3,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ A ) & ( v2_orders_2 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) & ( v16_waybel_0 @ A ) ) ),file(waybel_3,rc1_waybel_3)).
thf(rc2_card_1,axiom,( ? [A: $i] : ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) & ( v1_finset_1 @ A ) & ( v1_card_1 @ A ) ) ),file(card_1,rc2_card_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_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) ) ),file(ordinal1,rc2_ordinal1)).
thf(rc3_card_1,axiom,( ? [A: $i] : ~ ( v1_finset_1 @ A ) ),file(card_1,rc3_card_1)).
thf(rc5_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) ),file(funct_1,rc5_funct_1)).
thf(spc1_boole,axiom,( ~ ( v1_xboole_0 @ np__1 ) ),file(boole,spc1_boole)).
thf(dt_k1_xboole_0,axiom,( $true ),file(xboole_0,k1_xboole_0)).
thf(dt_k2_altcat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) ) => ( ( v1_relat_1 @ ( k2_altcat_1 @ A @ B ) ) & ( v4_relat_1 @ ( k2_altcat_1 @ A @ B ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) & ( v1_funct_1 @ ( k2_altcat_1 @ A @ B ) ) & ( v1_partfun1 @ ( k2_altcat_1 @ A @ B ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) ) ) ),file(altcat_1,k2_altcat_1)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k3_altcat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ ( k2_zfmisc_1 @ A @ A ) ) ) => ( ( v1_relat_1 @ ( k3_altcat_1 @ A @ B @ C ) ) & ( v4_relat_1 @ ( k3_altcat_1 @ A @ B @ C ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) & ( v1_funct_1 @ ( k3_altcat_1 @ A @ B @ C ) ) & ( v1_partfun1 @ ( k3_altcat_1 @ A @ B @ C ) @ ( k3_zfmisc_1 @ A @ A @ A ) ) ) ) ),file(altcat_1,k3_altcat_1)).
thf(dt_k3_zfmisc_1,axiom,( $true ),file(zfmisc_1,k3_zfmisc_1)).
thf(dt_l1_altcat_1,axiom,( ! [A: $i] : ( ( l1_altcat_1 @ A ) => ( l1_struct_0 @ A ) ) ),file(altcat_1,l1_altcat_1)).
thf(dt_m2_pboole,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ A ) ) => ! [D: $i] : ( ( m2_pboole @ D @ A @ B @ C ) => ( ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ A ) & ( v1_funct_1 @ D ) & ( v1_partfun1 @ D @ A ) ) ) ) ),file(pboole,m2_pboole)).
thf(cc10_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) ) => ( v13_struct_0 @ A @ np__1 ) ) ) ),file(struct_0,cc10_struct_0)).
thf(cc10_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ( v3_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v24_waybel_0 @ A ) ) => ( ( v3_orders_2 @ A ) & ( v1_lattice3 @ A ) & ( v2_yellow_0 @ A ) ) ) ) ),file(waybel_0,cc10_waybel_0)).
thf(cc12_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v25_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v1_yellow_0 @ A ) ) ) ) ),file(waybel_0,cc12_waybel_0)).
thf(cc14_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v25_waybel_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v2_lattice3 @ A ) ) ) ) ),file(waybel_0,cc14_waybel_0)).
thf(cc17_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v7_struct_0 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(struct_0,cc17_struct_0)).
thf(cc1_card_1,axiom,( ! [A: $i] : ( ( v1_card_1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(card_1,cc1_card_1)).
thf(cc1_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) ) ),file(ordinal1,cc1_ordinal1)).
thf(cc2_funct_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funct_1 @ A ) ) ) ),file(funct_1,cc2_funct_1)).
thf(cc2_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_yellow21,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow21 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v4_yellow18 @ A ) & ( v1_yellow21 @ A ) ) ) ) ),file(yellow21,cc2_yellow21)).
thf(cc3_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc3_card_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(cc4_waybel_3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v3_waybel_3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v24_waybel_0 @ A ) & ( v2_waybel_3 @ A ) ) ) ) ),file(waybel_3,cc4_waybel_3)).
thf(cc4_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_card_1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_finset_1 @ A ) ) ),file(card_1,cc5_card_1)).
thf(cc5_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v3_ordinal1 @ B ) ) ) ),file(ordinal1,cc5_ordinal1)).
thf(cc5_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ( ~ ( v2_struct_0 @ A ) & ~ ( v8_struct_0 @ A ) ) ) ) ),file(struct_0,cc5_struct_0)).
thf(cc6_ordinal1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc6_ordinal1)).
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_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_yellow21,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow21 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( m1_altcat_2 @ B @ A ) => ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) ) => ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) & ( v2_yellow21 @ B ) ) ) ) ) ),file(yellow21,cc8_yellow21)).
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_yellow21,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow21 @ A ) & ( v4_yellow21 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( m1_altcat_2 @ B @ A ) => ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v2_altcat_2 @ B @ A ) & ( v3_altcat_2 @ B @ A ) ) => ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) & ( v4_yellow21 @ B ) ) ) ) ) ),file(yellow21,cc9_yellow21)).
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(fc11_subset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ~ ( v1_xboole_0 @ C ) ) => ~ ( v1_xboole_0 @ ( k3_zfmisc_1 @ A @ B @ C ) ) ) ),file(subset_1,fc11_subset_1)).
thf(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(fc6_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v7_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc6_struct_0)).
thf(fc7_struct_0,axiom,( ! [A: $i] : ( ( ( v7_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc7_struct_0)).
thf(fc8_struct_0,axiom,( ! [A: $i] : ( ( ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc8_struct_0)).
thf(fc9_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc9_struct_0)).
thf(rc1_card_1,axiom,( ? [A: $i] : ( v1_card_1 @ A ) ),file(card_1,rc1_card_1)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(rc1_ordinal1,axiom,( ? [A: $i] : ( v3_ordinal1 @ A ) ),file(ordinal1,rc1_ordinal1)).
thf(rc1_yellow21,axiom,( ? [A: $i] : ( ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v6_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v1_altcat_2 @ A ) & ( v3_yellow21 @ A ) ) ),file(yellow21,rc1_yellow21)).
thf(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_altcat_2,axiom,( ? [A: $i] : ( ( l1_altcat_1 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_altcat_2 @ A ) ) ),file(altcat_2,rc2_altcat_2)).
thf(rc2_yellow_0,axiom,( ? [A: $i] : ( ( l1_orders_2 @ A ) & ~ ( v2_struct_0 @ A ) & ( v2_orders_2 @ A ) & ( v3_orders_2 @ A ) & ( v4_orders_2 @ A ) & ( v5_orders_2 @ A ) & ( v3_lattice3 @ A ) ) ),file(yellow_0,rc2_yellow_0)).
thf(rc3_altcat_2,axiom,( ? [A: $i] : ( ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_altcat_2 @ A ) ) ),file(altcat_2,rc3_altcat_2)).
thf(rc4_ordinal1,axiom,( ? [A: $i] : ( v7_ordinal1 @ A ) ),file(ordinal1,rc4_ordinal1)).
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(rc5_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) ) ),file(ordinal1,rc5_ordinal1)).
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_funct_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v4_funct_1 @ A ) ) ),file(funct_1,rc7_funct_1)).
thf(rc7_functor0,axiom,( ? [A: $i] : ( ( l2_altcat_1 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_altcat_2 @ A ) ) ),file(functor0,rc7_functor0)).
thf(free_g2_altcat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( m2_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) ) ) => ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( = @ ( g2_altcat_1 @ A @ B @ C ) @ ( g2_altcat_1 @ D @ E @ F ) ) => ( ( = @ A @ D ) & ( = @ B @ E ) & ( = @ C @ F ) ) ) ) ),file(altcat_1,g2_altcat_1)).
thf(dt_g2_altcat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( k2_zfmisc_1 @ A @ A ) ) & ( m2_pboole @ C @ ( k3_zfmisc_1 @ A @ A @ A ) @ ( k3_altcat_1 @ A @ B @ B ) @ ( k2_altcat_1 @ A @ B ) ) ) => ( ( v6_altcat_1 @ ( g2_altcat_1 @ A @ B @ C ) ) & ( l2_altcat_1 @ ( g2_altcat_1 @ A @ B @ C ) ) ) ) ),file(altcat_1,g2_altcat_1)).
thf(dt_k1_yellow21,axiom,( ! [A: $i] : ( l1_struct_0 @ ( k1_yellow21 @ A ) ) ),file(yellow21,k1_yellow21)).
thf(dt_k6_yellow21,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ( ~ ( v2_struct_0 @ ( k6_yellow21 @ A ) ) & ( v2_altcat_1 @ ( k6_yellow21 @ A ) ) & ( v6_altcat_1 @ ( k6_yellow21 @ A ) ) & ( v11_altcat_1 @ ( k6_yellow21 @ A ) ) & ( v12_altcat_1 @ ( k6_yellow21 @ A ) ) & ( v2_yellow21 @ ( k6_yellow21 @ A ) ) & ( l2_altcat_1 @ ( k6_yellow21 @ A ) ) ) ) ),file(yellow21,k6_yellow21)).
thf(dt_l1_orders_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( l1_struct_0 @ A ) ) ),file(orders_2,l1_orders_2)).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_0)).
thf(dt_l2_altcat_1,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( l1_altcat_1 @ A ) ) ),file(altcat_1,l2_altcat_1)).
thf(dt_u1_altcat_1,axiom,( ! [A: $i] : ( ( l1_altcat_1 @ A ) => ( ( v1_relat_1 @ ( u1_altcat_1 @ A ) ) & ( v4_relat_1 @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) & ( v1_funct_1 @ ( u1_altcat_1 @ A ) ) & ( v1_partfun1 @ ( u1_altcat_1 @ A ) @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ) ),file(altcat_1,u1_altcat_1)).
thf(dt_u2_altcat_1,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( m2_pboole @ ( u2_altcat_1 @ A ) @ ( k3_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) @ ( k3_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) @ ( u1_altcat_1 @ A ) ) @ ( k2_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) ) ) ) ),file(altcat_1,u2_altcat_1)).
thf(cc10_yellow21,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v3_yellow21 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( m1_altcat_2 @ B @ A ) => ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) ) => ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) & ( v3_yellow21 @ B ) ) ) ) ) ),file(yellow21,cc10_yellow21)).
thf(cc11_waybel_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v3_lattice3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v3_orders_2 @ A ) & ( v24_waybel_0 @ A ) & ( v25_waybel_0 @ A ) ) ) ) ),file(waybel_0,cc11_waybel_0)).
thf(cc1_altcat_2,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v12_altcat_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v1_altcat_2 @ A ) ) ) ) ),file(altcat_2,cc1_altcat_2)).
thf(cc1_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_funct_1 @ A ) ) ),file(funct_1,cc1_funct_1)).
thf(cc1_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v1_lattice3 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(lattice3,cc1_lattice3)).
thf(cc1_orders_2,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v3_orders_2 @ A ) => ( v2_orders_2 @ A ) ) ) ),file(orders_2,cc1_orders_2)).
thf(cc1_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc1_struct_0)).
thf(cc1_waybel_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(cc1_yellow21,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v3_yellow21 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v2_yellow21 @ A ) ) ) ) ),file(yellow21,cc1_yellow21)).
thf(cc1_yellow_0,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v3_lattice3 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v1_lattice3 @ A ) & ( v2_lattice3 @ A ) ) ) ) ),file(yellow_0,cc1_yellow_0)).
thf(cc2_altcat_2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( m1_altcat_2 @ B @ A ) => ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_2 @ B @ A ) ) => ( v2_altcat_1 @ B ) ) ) ) ),file(altcat_2,cc2_altcat_2)).
thf(cc2_card_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_card_1 @ A ) ) ),file(card_1,cc2_card_1)).
thf(cc2_functor0,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v12_altcat_1 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ( v1_altcat_2 @ A ) ) ) ) ),file(functor0,cc2_functor0)).
thf(cc2_lattice3,axiom,( ! [A: $i] : ( ( l1_orders_2 @ A ) => ( ( v2_lattice3 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(lattice3,cc2_lattice3)).
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_altcat_2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( m1_altcat_2 @ B @ A ) => ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) ) => ( ~ ( v2_struct_0 @ B ) & ( v11_altcat_1 @ B ) ) ) ) ) ),file(altcat_2,cc3_altcat_2)).
thf(cc3_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc3_ordinal1)).
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_altcat_2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ! [B: $i] : ( ( m1_altcat_2 @ B @ A ) => ( ( ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) ) => ( ~ ( v2_struct_0 @ B ) & ( v12_altcat_1 @ B ) ) ) ) ) ),file(altcat_2,cc4_altcat_2)).
thf(cc4_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_ordinal1 @ A ) ) ),file(ordinal1,cc4_ordinal1)).
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(cc7_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v4_funct_1 @ A ) ) ),file(funct_1,cc7_funct_1)).
thf(cc7_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v7_ordinal1 @ A ) ) ),file(ordinal1,cc7_ordinal1)).
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_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_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v6_ordinal1 @ A ) ) ),file(ordinal1,cc9_ordinal1)).
thf(fc1_struct_0,axiom,( ! [A: $i] : ( ( ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc1_struct_0)).
thf(fc2_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_xboole_0 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc2_struct_0)).
thf(fc7_yellow21,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ( ~ ( v2_struct_0 @ ( k6_yellow21 @ A ) ) & ( v2_altcat_1 @ ( k6_yellow21 @ A ) ) & ( v6_altcat_1 @ ( k6_yellow21 @ A ) ) & ( v11_altcat_1 @ ( k6_yellow21 @ A ) ) & ( v12_altcat_1 @ ( k6_yellow21 @ A ) ) & ( v2_yellow21 @ ( k6_yellow21 @ A ) ) & ( v3_yellow21 @ ( k6_yellow21 @ A ) ) & ( v4_yellow21 @ ( k6_yellow21 @ A ) ) ) ) ),file(yellow21,fc7_yellow21)).
thf(rc10_altcat_2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ? [B: $i] : ( ( m1_altcat_2 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v3_altcat_2 @ B @ A ) ) ) ),file(altcat_2,rc10_altcat_2)).
thf(rc1_altcat_4,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ? [B: $i] : ( ( m1_altcat_2 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v6_altcat_1 @ B ) & ( v2_altcat_2 @ B @ A ) & ( v3_altcat_2 @ B @ A ) ) ) ),file(altcat_4,rc1_altcat_4)).
thf(rc3_setfam_1,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ A ) & ~ ( v1_xboole_0 @ B ) ) ) ),file(setfam_1,rc3_setfam_1)).
thf(rc4_altcat_2,axiom,( ? [A: $i] : ( ( l2_altcat_1 @ A ) & ( v2_struct_0 @ A ) & ( v6_altcat_1 @ A ) ) ),file(altcat_2,rc4_altcat_2)).
thf(rc5_altcat_2,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ? [B: $i] : ( ( m1_altcat_2 @ B @ A ) & ( v6_altcat_1 @ B ) ) ) ),file(altcat_2,rc5_altcat_2)).
thf(rc6_altcat_2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l2_altcat_1 @ A ) ) => ? [B: $i] : ( ( m1_altcat_2 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v2_altcat_1 @ B ) & ( v6_altcat_1 @ B ) ) ) ),file(altcat_2,rc6_altcat_2)).
thf(rc7_altcat_2,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ? [B: $i] : ( ( m1_altcat_2 @ B @ A ) & ( v6_altcat_1 @ B ) & ( v2_altcat_2 @ B @ A ) ) ) ),file(altcat_2,rc7_altcat_2)).
thf(rc8_altcat_2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l2_altcat_1 @ A ) ) => ? [B: $i] : ( ( m1_altcat_2 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v6_altcat_1 @ B ) & ( v2_altcat_2 @ B @ A ) ) ) ),file(altcat_2,rc8_altcat_2)).
thf(rc9_altcat_2,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( l2_altcat_1 @ A ) ) => ? [B: $i] : ( ( m1_altcat_2 @ B @ A ) & ~ ( v2_struct_0 @ B ) & ( v6_altcat_1 @ B ) & ( v2_altcat_2 @ B @ A ) & ( v3_altcat_2 @ B @ A ) ) ) ),file(altcat_2,rc9_altcat_2)).
thf(abstractness_v6_altcat_1,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ( ( v6_altcat_1 @ A ) => ( = @ A @ ( g2_altcat_1 @ ( u1_struct_0 @ A ) @ ( u1_altcat_1 @ A ) @ ( u2_altcat_1 @ A ) ) ) ) ) ),file(altcat_1,v6_altcat_1)).
thf(redefinition_k4_yellow21,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v3_yellow21 @ A ) & ( l2_altcat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ) => ( = @ ( k4_yellow21 @ A @ B ) @ ( k1_yellow21 @ B ) ) ) ),file(yellow21,k4_yellow21)).
thf(dt_k4_yellow21,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v11_altcat_1 @ A ) & ( v12_altcat_1 @ A ) & ( v3_yellow21 @ A ) & ( l2_altcat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ) => ( ( v3_orders_2 @ ( k4_yellow21 @ A @ B ) ) & ( v4_orders_2 @ ( k4_yellow21 @ A @ B ) ) & ( v5_orders_2 @ ( k4_yellow21 @ A @ B ) ) & ( v1_lattice3 @ ( k4_yellow21 @ A @ B ) ) & ( v2_lattice3 @ ( k4_yellow21 @ A @ B ) ) & ( v3_lattice3 @ ( k4_yellow21 @ A @ B ) ) & ( l1_orders_2 @ ( k4_yellow21 @ A @ B ) ) ) ) ),file(yellow21,k4_yellow21)).
thf(dt_k7_yellow21,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ( ~ ( v2_struct_0 @ ( k7_yellow21 @ A ) ) & ( v2_altcat_1 @ ( k7_yellow21 @ A ) ) & ( v6_altcat_1 @ ( k7_yellow21 @ A ) ) & ( v2_altcat_2 @ ( k7_yellow21 @ A ) @ ( k6_yellow21 @ A ) ) & ( v3_altcat_2 @ ( k7_yellow21 @ A ) @ ( k6_yellow21 @ A ) ) & ( m1_altcat_2 @ ( k7_yellow21 @ A ) @ ( k6_yellow21 @ A ) ) ) ) ),file(yellow21,k7_yellow21)).
thf(dt_m1_altcat_2,axiom,( ! [A: $i] : ( ( l2_altcat_1 @ A ) => ! [B: $i] : ( ( m1_altcat_2 @ B @ A ) => ( l2_altcat_1 @ B ) ) ) ),file(altcat_2,m1_altcat_2)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(dt_c1_62__yellow21,axiom,( ~ ( v2_setfam_1 @ c1_62__yellow21 ) ),file(yellow21,c1_62__yellow21)).
thf(cc2_setfam_1,axiom,( ! [A: $i] : ( ~ ( v2_setfam_1 @ A ) => ~ ( v1_xboole_0 @ A ) ) ),file(setfam_1,cc2_setfam_1)).
thf(rc2_setfam_1,axiom,( ? [A: $i] : ~ ( v2_setfam_1 @ A ) ),file(setfam_1,rc2_setfam_1)).
thf(e5_62_1_1__yellow21,axiom,( ? [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ ( k7_yellow21 @ c1_62__yellow21 ) ) ) & ( v2_waybel_8 @ ( k4_yellow21 @ ( k7_yellow21 @ c1_62__yellow21 ) @ A ) ) ) ),file(yellow21,e5_62_1_1__yellow21)).
thf(s2_yellow20,axiom,( ! [A: $i > $o] : ! [B: $i] : ( ? [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) & ( A @ C ) ) => ? [C: $i] : ( ~ ( v2_struct_0 @ C ) & ( v2_altcat_1 @ C ) & ( v6_altcat_1 @ C ) & ( v2_altcat_2 @ C @ B ) & ( v3_altcat_2 @ C @ B ) & ( m1_altcat_2 @ C @ B ) & ! [D: $i] : ( ( m1_subset_1 @ D @ ( u1_struct_0 @ B ) ) => ( ( m1_subset_1 @ D @ ( u1_struct_0 @ C ) ) <=> ( A @ D ) ) ) ) ) ),file(yellow20,s2_yellow20)).
thf(e6_62_1_1__yellow21,conjecture,( ? [A: $i] : ( ~ ( v2_struct_0 @ A ) & ( v2_altcat_1 @ A ) & ( v6_altcat_1 @ A ) & ( v2_altcat_2 @ A @ ( k7_yellow21 @ c1_62__yellow21 ) ) & ( v3_altcat_2 @ A @ ( k7_yellow21 @ c1_62__yellow21 ) ) & ( m1_altcat_2 @ A @ ( k7_yellow21 @ c1_62__yellow21 ) ) & ! [B: $i] : ( ( m1_subset_1 @ B @ ( u1_struct_0 @ ( k7_yellow21 @ c1_62__yellow21 ) ) ) => ( ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) <=> ( v2_waybel_8 @ ( k4_yellow21 @ ( k7_yellow21 @ c1_62__yellow21 ) @ B ) ) ) ) ) ),file(yellow21,e6_62_1_1__yellow21)).
