% Mizar problem: e7_47_1_1,index_1,953,11 
include('Axioms/SET010^0.ax').
thf(n1_type,type,( np__1: $i )).
thf(c1_47_type,type,( c1_47__index_1: $i )).
thf(c1_47_1_1_type,type,( c1_47_1_1__index_1: $i )).
thf(c2_47_type,type,( c2_47__index_1: $i )).
thf(c3_47_type,type,( c3_47__index_1: $i )).
thf(k1_cat_1_type,type,( k1_cat_1: $i > $i > $i > $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k1_graph_1_type,type,( k1_graph_1: $i > $i > $i )).
thf(k1_xboole_0_type,type,( k1_xboole_0: $i )).
thf(k1_xtuple_0_type,type,( k1_xtuple_0: $i > $i )).
thf(k1_zfmisc_1_type,type,( k1_zfmisc_1: $i > $i )).
thf(k2_graph_1_type,type,( k2_graph_1: $i > $i > $i )).
thf(k2_index_1_type,type,( k2_index_1: $i > $i > $i > $i )).
thf(k2_xtuple_0_type,type,( k2_xtuple_0: $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_funct_2_type,type,( k3_funct_2: $i > $i > $i > $i > $i )).
thf(k3_graph_1_type,type,( k3_graph_1: $i > $i > $i )).
thf(k3_relat_1_type,type,( k3_relat_1: $i > $i > $i )).
thf(k4_cat_1_type,type,( k4_cat_1: $i > $i > $i )).
thf(k4_graph_1_type,type,( k4_graph_1: $i > $i > $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(k7_index_1_type,type,( k7_index_1: $i > $i > $i > $i > $i > $i )).
thf(k7_isocat_1_type,type,( k7_isocat_1: $i > $i )).
thf(k8_index_1_type,type,( k8_index_1: $i > $i > $i > $i > $i > $i )).
thf(u1_cat_1_type,type,( u1_cat_1: $i > $i )).
thf(u1_graph_1_type,type,( u1_graph_1: $i > $i )).
thf(u1_struct_0_type,type,( u1_struct_0: $i > $i )).
thf(u2_graph_1_type,type,( u2_graph_1: $i > $i )).
thf(u4_struct_0_type,type,( u4_struct_0: $i > $i )).
thf(l1_cat_1_type,type,( l1_cat_1: $i > $o )).
thf(l1_graph_1_type,type,( l1_graph_1: $i > $o )).
thf(l1_struct_0_type,type,( l1_struct_0: $i > $o )).
thf(l5_struct_0_type,type,( l5_struct_0: $i > $o )).
thf(m1_cat_1_type,type,( m1_cat_1: $i > $i > $i > $i > $o )).
thf(m1_index_1_type,type,( m1_index_1: $i > $i > $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(m2_cat_1_type,type,( m2_cat_1: $i > $i > $i > $o )).
thf(m2_index_1_type,type,( m2_index_1: $i > $i > $i > $i > $o )).
thf(m3_index_1_type,type,( m3_index_1: $i > $i > $i > $i > $i > $o )).
thf(m4_index_1_type,type,( m4_index_1: $i > $i > $i > $i > $i > $i > $o )).
thf(m5_index_1_type,type,( m5_index_1: $i > $i > $i > $i > $i > $i > $i > $o )).
thf(v11_struct_0_type,type,( v11_struct_0: $i > $o )).
thf(v13_struct_0_type,type,( v13_struct_0: $i > $i > $o )).
thf(v14_struct_0_type,type,( v14_struct_0: $i > $o )).
thf(v15_struct_0_type,type,( v15_struct_0: $i > $o )).
thf(v1_cat_5_type,type,( v1_cat_5: $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_index_1_type,type,( v1_index_1: $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_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_xtuple_0_type,type,( v1_xtuple_0: $i > $o )).
thf(v1_zfmisc_1_type,type,( v1_zfmisc_1: $i > $o )).
thf(v2_cat_1_type,type,( v2_cat_1: $i > $o )).
thf(v2_funcop_1_type,type,( v2_funcop_1: $i > $o )).
thf(v2_funct_1_type,type,( v2_funct_1: $i > $o )).
thf(v2_index_1_type,type,( v2_index_1: $i > $i > $i > $o )).
thf(v2_relat_1_type,type,( v2_relat_1: $i > $o )).
thf(v2_struct_0_type,type,( v2_struct_0: $i > $o )).
thf(v3_cat_1_type,type,( v3_cat_1: $i > $o )).
thf(v3_cat_5_type,type,( v3_cat_5: $i > $o )).
thf(v3_funct_1_type,type,( v3_funct_1: $i > $o )).
thf(v3_relat_1_type,type,( v3_relat_1: $i > $o )).
thf(v4_cat_1_type,type,( v4_cat_1: $i > $o )).
thf(v4_funct_1_type,type,( v4_funct_1: $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $i > $i > $o )).
thf(v5_cat_1_type,type,( v5_cat_1: $i > $o )).
thf(v5_relat_1_type,type,( v5_relat_1: $i > $i > $o )).
thf(v6_cat_1_type,type,( v6_cat_1: $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(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(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(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(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_m1_index_1,axiom,( $true ),file(index_1,m1_index_1)).
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(cc14_struct_0,axiom,( ! [A: $i] : ( ( l5_struct_0 @ A ) => ( ( ( v2_struct_0 @ A ) & ( v14_struct_0 @ A ) ) => ( v11_struct_0 @ A ) ) ) ),file(struct_0,cc14_struct_0)).
thf(cc15_struct_0,axiom,( ! [A: $i] : ( ( l5_struct_0 @ A ) => ( ( ~ ( v11_struct_0 @ A ) & ( v14_struct_0 @ A ) ) => ~ ( v2_struct_0 @ A ) ) ) ),file(struct_0,cc15_struct_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_cat_1,axiom,( ! [A: $i] : ( ( l1_cat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ( v7_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( v3_cat_1 @ A ) & ( v5_cat_1 @ A ) ) ) ) ),file(cat_1,cc1_cat_1)).
thf(cc1_funcop_1,axiom,( ! [A: $i] : ( ( v4_funct_1 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_funcop_1 @ B ) ) ) ) ),file(funcop_1,cc1_funcop_1)).
thf(cc1_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ( v1_relat_1 @ B ) & ~ ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc1_pboole)).
thf(cc2_cat_1,axiom,( ! [A: $i] : ( ( l1_cat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( v15_struct_0 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( v4_cat_1 @ A ) & ( v6_cat_1 @ A ) ) ) ) ),file(cat_1,cc2_cat_1)).
thf(cc2_funcop_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funcop_1 @ A ) ) ) ),file(funcop_1,cc2_funcop_1)).
thf(cc2_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ( v1_relat_1 @ B ) & ~ ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc2_pboole)).
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(cc4_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ( v1_relat_1 @ B ) & ~ ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc4_pboole)).
thf(cc5_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) => ( ~ ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ) ),file(funct_1,cc5_funct_1)).
thf(cc5_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ( ~ ( v2_struct_0 @ A ) & ~ ( v8_struct_0 @ A ) ) ) ) ),file(struct_0,cc5_struct_0)).
thf(cc6_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v7_struct_0 @ A ) => ( v8_struct_0 @ A ) ) ) ),file(struct_0,cc6_struct_0)).
thf(cc7_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v8_struct_0 @ A ) => ~ ( v7_struct_0 @ A ) ) ) ),file(struct_0,cc7_struct_0)).
thf(cc8_funct_1,axiom,( ! [A: $i] : ( ( v4_funct_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) ) ) ),file(funct_1,cc8_funct_1)).
thf(cc9_funct_1,axiom,( ! [A: $i] : ( ( v4_funct_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v4_funct_1 @ B ) ) ) ),file(funct_1,cc9_funct_1)).
thf(cc9_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v13_struct_0 @ A @ k1_xboole_0 ) => ( v2_struct_0 @ A ) ) ) ),file(struct_0,cc9_struct_0)).
thf(fc10_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_index_1 @ C @ A @ B ) => ( v4_relat_1 @ ( k1_xtuple_0 @ C ) @ A ) ) ),file(index_1,fc10_index_1)).
thf(fc11_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_index_1 @ C @ A @ B ) => ( v4_relat_1 @ ( k2_xtuple_0 @ C ) @ B ) ) ),file(index_1,fc11_index_1)).
thf(fc12_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_index_1 @ C @ A @ B ) => ( ( v1_relat_1 @ ( k1_xtuple_0 @ C ) ) & ( v4_relat_1 @ ( k1_xtuple_0 @ C ) @ A ) & ( v1_funct_1 @ ( k1_xtuple_0 @ C ) ) & ( v1_partfun1 @ ( k1_xtuple_0 @ C ) @ A ) ) ) ),file(index_1,fc12_index_1)).
thf(fc13_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_index_1 @ C @ A @ B ) => ( ( v1_relat_1 @ ( k2_xtuple_0 @ C ) ) & ( v4_relat_1 @ ( k2_xtuple_0 @ C ) @ B ) & ( v1_funct_1 @ ( k2_xtuple_0 @ C ) ) & ( v1_partfun1 @ ( k2_xtuple_0 @ C ) @ B ) ) ) ),file(index_1,fc13_index_1)).
thf(fc14_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v2_index_1 @ C @ A @ B ) & ( m1_index_1 @ C @ A @ B ) ) => ( v1_index_1 @ ( k1_xtuple_0 @ C ) ) ) ),file(index_1,fc14_index_1)).
thf(fc15_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v2_relat_1 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(relat_1,fc15_relat_1)).
thf(fc17_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v4_funct_1 @ A ) & ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) ) => ( ( v1_relat_1 @ ( k1_funct_1 @ C @ B ) ) & ( v1_funct_1 @ ( k1_funct_1 @ C @ B ) ) ) ) ),file(funct_1,fc17_funct_1)).
thf(fc19_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v3_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( v1_xboole_0 @ ( k1_funct_1 @ A @ B ) ) ) ),file(funct_1,fc19_funct_1)).
thf(fc1_xboole_0,axiom,( v1_xboole_0 @ k1_xboole_0 ),file(xboole_0,fc1_xboole_0)).
thf(fc20_struct_0,axiom,( ! [A: $i] : ( ( ( v15_struct_0 @ A ) & ( l5_struct_0 @ A ) ) => ( v1_zfmisc_1 @ ( u4_struct_0 @ A ) ) ) ),file(struct_0,fc20_struct_0)).
thf(fc21_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v15_struct_0 @ A ) & ( l5_struct_0 @ A ) ) => ~ ( v1_zfmisc_1 @ ( u4_struct_0 @ A ) ) ) ),file(struct_0,fc21_struct_0)).
thf(fc2_pboole,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( m1_subset_1 @ C @ A ) ) => ~ ( v1_xboole_0 @ ( k1_funct_1 @ B @ C ) ) ) ),file(pboole,fc2_pboole)).
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_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v2_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v2_funct_1 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(funct_1,fc7_funct_1)).
thf(fc7_struct_0,axiom,( ! [A: $i] : ( ( ( v7_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc7_struct_0)).
thf(fc8_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) => ( ( v1_relat_1 @ ( k1_funct_1 @ A @ B ) ) & ( v1_funct_1 @ ( k1_funct_1 @ A @ B ) ) ) ) ),file(funcop_1,fc8_funcop_1)).
thf(fc8_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_index_1 @ C @ A @ B ) => ( ( v1_relat_1 @ ( k1_xtuple_0 @ C ) ) & ( v1_funct_1 @ ( k1_xtuple_0 @ C ) ) ) ) ),file(index_1,fc8_index_1)).
thf(fc8_struct_0,axiom,( ! [A: $i] : ( ( ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc8_struct_0)).
thf(fc9_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ B @ A ) ) & ( v1_funcop_1 @ ( k3_relat_1 @ B @ A ) ) ) ) ),file(funcop_1,fc9_funcop_1)).
thf(fc9_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_index_1 @ C @ A @ B ) => ( ( v1_relat_1 @ ( k2_xtuple_0 @ C ) ) & ( v1_funct_1 @ ( k2_xtuple_0 @ C ) ) ) ) ),file(index_1,fc9_index_1)).
thf(fc9_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v8_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_finset_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc9_struct_0)).
thf(rc1_funcop_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) ),file(funcop_1,rc1_funcop_1)).
thf(rc1_index_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ~ ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ),file(index_1,rc1_index_1)).
thf(rc25_struct_0,axiom,( ? [A: $i] : ( ( l5_struct_0 @ A ) & ~ ( v15_struct_0 @ A ) ) ),file(struct_0,rc25_struct_0)).
thf(rc2_funcop_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) ) ),file(funcop_1,rc2_funcop_1)).
thf(rc2_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funct_1 @ A ) ) ),file(funct_1,rc2_funct_1)).
thf(rc2_pboole,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v3_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(pboole,rc2_pboole)).
thf(rc2_relat_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ),file(relat_1,rc2_relat_1)).
thf(rc3_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc3_funct_1)).
thf(rc3_pboole,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(pboole,rc3_pboole)).
thf(rc4_funcop_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(funcop_1,rc4_funcop_1)).
thf(rc4_funct_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc4_funct_1)).
thf(rc4_pboole,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_funcop_1 @ B ) ) ),file(pboole,rc4_pboole)).
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(rc9_funct_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) ) ),file(funct_1,rc9_funct_1)).
thf(dt_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_k1_graph_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_graph_1 @ A ) & ( m1_subset_1 @ B @ ( u4_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k1_graph_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) ) ),file(graph_1,k1_graph_1)).
thf(dt_k2_graph_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_graph_1 @ A ) & ( m1_subset_1 @ B @ ( u4_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k2_graph_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) ) ),file(graph_1,k2_graph_1)).
thf(dt_k2_xtuple_0,axiom,( $true ),file(xtuple_0,k2_xtuple_0)).
thf(dt_l1_graph_1,axiom,( ! [A: $i] : ( ( l1_graph_1 @ A ) => ( l5_struct_0 @ A ) ) ),file(graph_1,l1_graph_1)).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_0)).
thf(dt_l5_struct_0,axiom,( ! [A: $i] : ( ( l5_struct_0 @ A ) => ( l1_struct_0 @ A ) ) ),file(struct_0,l5_struct_0)).
thf(dt_m1_cat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_cat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u1_struct_0 @ A ) ) ) => ! [D: $i] : ( ( m1_cat_1 @ D @ A @ B @ C ) => ( m1_subset_1 @ D @ ( u4_struct_0 @ A ) ) ) ) ),file(cat_1,m1_cat_1)).
thf(dt_m2_index_1,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_index_1 @ B ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ A ) & ( v1_index_1 @ C ) ) => ! [D: $i] : ( ( m2_index_1 @ D @ A @ B @ C ) => ( ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ A ) & ( v1_funct_1 @ D ) & ( v1_partfun1 @ D @ A ) & ( v1_funcop_1 @ D ) ) ) ) ),file(index_1,m2_index_1)).
thf(dt_m3_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ B @ A ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ B @ A ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) ) => ! [E: $i] : ( ( m3_index_1 @ E @ A @ B @ C @ D ) => ( ( v2_index_1 @ E @ A @ B ) & ( m1_index_1 @ E @ A @ B ) ) ) ) ),file(index_1,m3_index_1)).
thf(cc12_struct_0,axiom,( ! [A: $i] : ( ( l5_struct_0 @ A ) => ( ~ ( v2_struct_0 @ A ) => ( v14_struct_0 @ A ) ) ) ),file(struct_0,cc12_struct_0)).
thf(cc13_struct_0,axiom,( ! [A: $i] : ( ( l5_struct_0 @ A ) => ( ( v11_struct_0 @ A ) => ( v14_struct_0 @ A ) ) ) ),file(struct_0,cc13_struct_0)).
thf(cc16_struct_0,axiom,( ! [A: $i] : ( ( l5_struct_0 @ A ) => ( ( v11_struct_0 @ A ) => ( v15_struct_0 @ A ) ) ) ),file(struct_0,cc16_struct_0)).
thf(cc1_cat_5,axiom,( ! [A: $i] : ( ( l1_cat_1 @ A ) => ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( v2_cat_1 @ A ) & ( v3_cat_1 @ A ) & ( v4_cat_1 @ A ) & ( v5_cat_1 @ A ) & ( v6_cat_1 @ A ) & ( v3_cat_5 @ A ) ) => ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( v2_cat_1 @ A ) & ( v3_cat_1 @ A ) & ( v4_cat_1 @ A ) & ( v5_cat_1 @ A ) & ( v6_cat_1 @ A ) & ( v1_cat_5 @ A ) ) ) ) ),file(cat_5,cc1_cat_5)).
thf(cc1_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_funct_1 @ A ) ) ),file(funct_1,cc1_funct_1)).
thf(cc1_index_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(index_1,cc1_index_1)).
thf(cc1_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_relat_1 @ A ) ) ),file(relat_1,cc1_relat_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(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_relat_1,axiom,( ! [A: $i] : ( ( v1_relat_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_relat_1 @ B ) ) ) ),file(relat_1,cc2_relat_1)).
thf(cc3_funcop_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_xboole_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_funcop_1 @ A ) ) ) ),file(funcop_1,cc3_funcop_1)).
thf(cc3_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_funct_1 @ B ) ) ) ),file(funct_1,cc3_funct_1)).
thf(cc3_relat_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v3_relat_1 @ A ) ) ) ),file(relat_1,cc3_relat_1)).
thf(cc3_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_xboole_0 @ C ) ) ) ),file(relset_1,cc3_relset_1)).
thf(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_relat_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) ) ) ),file(relat_1,cc4_relat_1)).
thf(cc4_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( v1_xboole_0 @ A ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) => ( v1_xboole_0 @ C ) ) ) ),file(relset_1,cc4_relset_1)).
thf(cc4_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( ( v2_struct_0 @ A ) & ( v8_struct_0 @ A ) ) ) ) ),file(struct_0,cc4_struct_0)).
thf(cc5_pboole,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) => ( ~ ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ) ) ),file(pboole,cc5_pboole)).
thf(cc5_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ B ) ) => ( v4_relat_1 @ C @ A ) ) ) ),file(relat_1,cc5_relat_1)).
thf(cc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ B ) ) => ( v5_relat_1 @ C @ A ) ) ) ),file(relat_1,cc6_relat_1)).
thf(cc7_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v4_funct_1 @ A ) ) ),file(funct_1,cc7_funct_1)).
thf(cc7_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) => ( ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) ) ) ) ),file(relat_1,cc7_relat_1)).
thf(cc8_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) ) => ( ( v1_xboole_0 @ B ) & ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) ) ) ) ),file(relat_1,cc8_relat_1)).
thf(cc8_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ( v2_struct_0 @ A ) => ( v13_struct_0 @ A @ k1_xboole_0 ) ) ) ),file(struct_0,cc8_struct_0)).
thf(fc12_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) ) => ( ( v1_xboole_0 @ ( k3_relat_1 @ A @ B ) ) & ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(relat_1,fc12_relat_1)).
thf(fc13_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) ) => ( ( v1_xboole_0 @ ( k3_relat_1 @ B @ A ) ) & ( v1_relat_1 @ ( k3_relat_1 @ B @ A ) ) ) ) ),file(relat_1,fc13_relat_1)).
thf(fc13_struct_0,axiom,( ! [A: $i] : ( ( ( v11_struct_0 @ A ) & ( l5_struct_0 @ A ) ) => ( v1_xboole_0 @ ( u4_struct_0 @ A ) ) ) ),file(struct_0,fc13_struct_0)).
thf(fc14_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v11_struct_0 @ A ) & ( l5_struct_0 @ A ) ) => ~ ( v1_xboole_0 @ ( u4_struct_0 @ A ) ) ) ),file(struct_0,fc14_struct_0)).
thf(fc1_pboole,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_relat_1 @ D ) & ( v4_relat_1 @ D @ B ) & ( v1_funct_1 @ D ) & ( v1_partfun1 @ D @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ C @ D ) ) & ( v4_relat_1 @ ( k3_relat_1 @ C @ D ) @ A ) & ( v1_funct_1 @ ( k3_relat_1 @ C @ D ) ) & ( v1_partfun1 @ ( k3_relat_1 @ C @ D ) @ A ) ) ) ),file(pboole,fc1_pboole)).
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(fc29_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_relat_1 @ C ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ C @ B ) ) & ( v5_relat_1 @ ( k3_relat_1 @ C @ B ) @ A ) ) ) ),file(relat_1,fc29_relat_1)).
thf(fc2_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v1_funct_1 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(funct_1,fc2_funct_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(fc30_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_relat_1 @ C ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ B @ C ) ) & ( v4_relat_1 @ ( k3_relat_1 @ B @ C ) @ A ) ) ) ),file(relat_1,fc30_relat_1)).
thf(fc3_index_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_index_1 @ B ) ) => ( ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) & ( v1_index_1 @ ( k3_relat_1 @ A @ B ) ) ) ) ),file(index_1,fc3_index_1)).
thf(rc1_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ),file(funct_1,rc1_funct_1)).
thf(rc1_pboole,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) ) ),file(pboole,rc1_pboole)).
thf(rc1_relat_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) ),file(relat_1,rc1_relat_1)).
thf(rc1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ),file(relset_1,rc1_relset_1)).
thf(rc1_xboole_0,axiom,( ? [A: $i] : ( v1_xboole_0 @ A ) ),file(xboole_0,rc1_xboole_0)).
thf(rc1_xtuple_0,axiom,( ? [A: $i] : ( v1_xtuple_0 @ A ) ),file(xtuple_0,rc1_xtuple_0)).
thf(rc2_index_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_index_1 @ A ) ) ),file(index_1,rc2_index_1)).
thf(rc2_xboole_0,axiom,( ? [A: $i] : ~ ( v1_xboole_0 @ A ) ),file(xboole_0,rc2_xboole_0)).
thf(rc3_funcop_1,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ A ) ) ) ),file(funcop_1,rc3_funcop_1)).
thf(rc3_index_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_index_1 @ B ) ) ),file(index_1,rc3_index_1)).
thf(rc3_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ),file(relat_1,rc3_relat_1)).
thf(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(rc6_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) ) ),file(funct_1,rc6_funct_1)).
thf(rc7_pboole,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ B ) & ( v5_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ B ) ) ) ),file(pboole,rc7_pboole)).
thf(rd2_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k2_xtuple_0 @ ( k4_tarski @ A @ B ) ) @ B ) ),file(xtuple_0,rd2_xtuple_0)).
thf(rd3_xtuple_0,axiom,( ! [A: $i] : ( ( v1_xtuple_0 @ A ) => ( = @ ( k4_tarski @ ( k1_xtuple_0 @ A ) @ ( k2_xtuple_0 @ A ) ) @ A ) ) ),file(xtuple_0,rd3_xtuple_0)).
thf(redefinition_k2_index_1,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_index_1 @ B ) & ( m1_subset_1 @ C @ A ) ) => ( = @ ( k2_index_1 @ A @ B @ C ) @ ( k1_funct_1 @ B @ C ) ) ) ),file(index_1,k2_index_1)).
thf(redefinition_k3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( m1_subset_1 @ D @ A ) ) => ( = @ ( k3_funct_2 @ A @ B @ C @ D ) @ ( k1_funct_1 @ C @ D ) ) ) ),file(funct_2,k3_funct_2)).
thf(redefinition_k3_graph_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_graph_1 @ A ) & ( m1_subset_1 @ B @ ( u4_struct_0 @ A ) ) ) => ( = @ ( k3_graph_1 @ A @ B ) @ ( k1_graph_1 @ A @ B ) ) ) ),file(graph_1,k3_graph_1)).
thf(redefinition_k4_graph_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_graph_1 @ A ) & ( m1_subset_1 @ B @ ( u4_struct_0 @ A ) ) ) => ( = @ ( k4_graph_1 @ A @ B ) @ ( k2_graph_1 @ A @ B ) ) ) ),file(graph_1,k4_graph_1)).
thf(redefinition_k7_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_index_1 @ B ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ A ) & ( v1_index_1 @ C ) & ( m2_index_1 @ D @ A @ B @ C ) & ( m1_subset_1 @ E @ A ) ) => ( = @ ( k7_index_1 @ A @ B @ C @ D @ E ) @ ( k1_funct_1 @ D @ E ) ) ) ),file(index_1,k7_index_1)).
thf(redefinition_k8_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ B @ A ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ B @ A ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) & ( m3_index_1 @ E @ A @ B @ C @ D ) ) => ( = @ ( k8_index_1 @ A @ B @ C @ D @ E ) @ ( k2_xtuple_0 @ E ) ) ) ),file(index_1,k8_index_1)).
thf(dt_k1_cat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( l1_cat_1 @ A ) & ( m1_subset_1 @ B @ ( u4_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u4_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k1_cat_1 @ A @ B @ C ) @ ( u4_struct_0 @ A ) ) ) ),file(cat_1,k1_cat_1)).
thf(dt_k1_xtuple_0,axiom,( $true ),file(xtuple_0,k1_xtuple_0)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_index_1,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_index_1 @ B ) & ( m1_subset_1 @ C @ A ) ) => ( ~ ( v2_struct_0 @ ( k2_index_1 @ A @ B @ C ) ) & ~ ( v11_struct_0 @ ( k2_index_1 @ A @ B @ C ) ) & ( v2_cat_1 @ ( k2_index_1 @ A @ B @ C ) ) & ( v3_cat_1 @ ( k2_index_1 @ A @ B @ C ) ) & ( v4_cat_1 @ ( k2_index_1 @ A @ B @ C ) ) & ( v5_cat_1 @ ( k2_index_1 @ A @ B @ C ) ) & ( v6_cat_1 @ ( k2_index_1 @ A @ B @ C ) ) & ( l1_cat_1 @ ( k2_index_1 @ A @ B @ C ) ) ) ) ),file(index_1,k2_index_1)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k3_funct_2,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ A @ B ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( m1_subset_1 @ D @ A ) ) => ( m1_subset_1 @ ( k3_funct_2 @ A @ B @ C @ D ) @ B ) ) ),file(funct_2,k3_funct_2)).
thf(dt_k3_graph_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_graph_1 @ A ) & ( m1_subset_1 @ B @ ( u4_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k3_graph_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) ) ),file(graph_1,k3_graph_1)).
thf(dt_k3_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k3_relat_1 @ A @ B ) ) ),file(relat_1,k3_relat_1)).
thf(dt_k4_cat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( v5_cat_1 @ A ) & ( v6_cat_1 @ A ) & ( l1_cat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ) => ( m1_cat_1 @ ( k4_cat_1 @ A @ B ) @ A @ B @ B ) ) ),file(cat_1,k4_cat_1)).
thf(dt_k4_graph_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_graph_1 @ A ) & ( m1_subset_1 @ B @ ( u4_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k4_graph_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) ) ),file(graph_1,k4_graph_1)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_k7_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ A ) & ( v1_index_1 @ B ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ A ) & ( v1_index_1 @ C ) & ( m2_index_1 @ D @ A @ B @ C ) & ( m1_subset_1 @ E @ A ) ) => ( m2_cat_1 @ ( k7_index_1 @ A @ B @ C @ D @ E ) @ ( k2_index_1 @ A @ B @ E ) @ ( k2_index_1 @ A @ C @ E ) ) ) ),file(index_1,k7_index_1)).
thf(dt_k7_isocat_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( v2_cat_1 @ A ) & ( v3_cat_1 @ A ) & ( v4_cat_1 @ A ) & ( v5_cat_1 @ A ) & ( v6_cat_1 @ A ) & ( l1_cat_1 @ A ) ) => ( ( v1_funct_1 @ ( k7_isocat_1 @ A ) ) & ( v1_funct_2 @ ( k7_isocat_1 @ A ) @ ( u1_struct_0 @ A ) @ ( u4_struct_0 @ A ) ) & ( m1_subset_1 @ ( k7_isocat_1 @ A ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( u4_struct_0 @ A ) ) ) ) ) ) ),file(isocat_1,k7_isocat_1)).
thf(dt_k8_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ B @ A ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ B @ A ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) & ( m3_index_1 @ E @ A @ B @ C @ D ) ) => ( m2_index_1 @ ( k8_index_1 @ A @ B @ C @ D @ E ) @ B @ ( k3_relat_1 @ C @ ( k1_xtuple_0 @ E ) ) @ ( k3_relat_1 @ D @ ( k1_xtuple_0 @ E ) ) ) ) ),file(index_1,k8_index_1)).
thf(dt_l1_cat_1,axiom,( ! [A: $i] : ( ( l1_cat_1 @ A ) => ( l1_graph_1 @ A ) ) ),file(cat_1,l1_cat_1)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_m2_cat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( v2_cat_1 @ A ) & ( v3_cat_1 @ A ) & ( v4_cat_1 @ A ) & ( v5_cat_1 @ A ) & ( v6_cat_1 @ A ) & ( l1_cat_1 @ A ) & ~ ( v2_struct_0 @ B ) & ~ ( v11_struct_0 @ B ) & ( v2_cat_1 @ B ) & ( v3_cat_1 @ B ) & ( v4_cat_1 @ B ) & ( v5_cat_1 @ B ) & ( v6_cat_1 @ B ) & ( l1_cat_1 @ B ) ) => ! [C: $i] : ( ( m2_cat_1 @ C @ A @ B ) => ( ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ ( u4_struct_0 @ A ) @ ( u4_struct_0 @ B ) ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u4_struct_0 @ A ) @ ( u4_struct_0 @ B ) ) ) ) ) ) ) ),file(cat_1,m2_cat_1)).
thf(dt_m4_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ B @ A ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ B @ A ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) & ( m3_index_1 @ E @ A @ B @ C @ D ) ) => ! [F: $i] : ( ( m4_index_1 @ F @ A @ B @ C @ D @ E ) => ( ~ ( v2_struct_0 @ F ) & ~ ( v11_struct_0 @ F ) & ( v2_cat_1 @ F ) & ( v3_cat_1 @ F ) & ( v4_cat_1 @ F ) & ( v5_cat_1 @ F ) & ( v6_cat_1 @ F ) & ( v3_cat_5 @ F ) & ( l1_cat_1 @ F ) ) ) ) ),file(index_1,m4_index_1)).
thf(dt_m5_index_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ! [E: $i] : ! [F: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( v1_funct_1 @ C ) & ( v1_funct_2 @ C @ B @ A ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) & ( v1_funct_1 @ D ) & ( v1_funct_2 @ D @ B @ A ) & ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ B @ A ) ) ) & ( v1_funct_1 @ E ) & ( m1_subset_1 @ E @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ B @ B ) @ B ) ) ) & ( v1_funct_1 @ F ) & ( v1_funct_2 @ F @ A @ B ) & ( m1_subset_1 @ F @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ) => ! [G: $i] : ( ( m5_index_1 @ G @ A @ B @ C @ D @ E @ F ) => ( m3_index_1 @ G @ A @ B @ C @ D ) ) ) ),file(index_1,m5_index_1)).
thf(dt_u1_cat_1,axiom,( ! [A: $i] : ( ( l1_cat_1 @ A ) => ( ( v1_funct_1 @ ( u1_cat_1 @ A ) ) & ( m1_subset_1 @ ( u1_cat_1 @ A ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( k2_zfmisc_1 @ ( u4_struct_0 @ A ) @ ( u4_struct_0 @ A ) ) @ ( u4_struct_0 @ A ) ) ) ) ) ) ),file(cat_1,u1_cat_1)).
thf(dt_u1_graph_1,axiom,( ! [A: $i] : ( ( l1_graph_1 @ A ) => ( ( v1_funct_1 @ ( u1_graph_1 @ A ) ) & ( v1_funct_2 @ ( u1_graph_1 @ A ) @ ( u4_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ ( u1_graph_1 @ A ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u4_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ) ) ),file(graph_1,u1_graph_1)).
thf(dt_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(dt_u2_graph_1,axiom,( ! [A: $i] : ( ( l1_graph_1 @ A ) => ( ( v1_funct_1 @ ( u2_graph_1 @ A ) ) & ( v1_funct_2 @ ( u2_graph_1 @ A ) @ ( u4_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ ( u2_graph_1 @ A ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u4_struct_0 @ A ) @ ( u1_struct_0 @ A ) ) ) ) ) ) ),file(graph_1,u2_graph_1)).
thf(dt_u4_struct_0,axiom,( $true ),file(struct_0,u4_struct_0)).
thf(dt_c1_47__index_1,axiom,( ~ ( v2_struct_0 @ c1_47__index_1 ) & ~ ( v11_struct_0 @ c1_47__index_1 ) & ( v2_cat_1 @ c1_47__index_1 ) & ( v3_cat_1 @ c1_47__index_1 ) & ( v4_cat_1 @ c1_47__index_1 ) & ( v5_cat_1 @ c1_47__index_1 ) & ( v6_cat_1 @ c1_47__index_1 ) & ( l1_cat_1 @ c1_47__index_1 ) ),file(index_1,c1_47__index_1)).
thf(dt_c1_47_1_1__index_1,axiom,( ( v1_funct_1 @ c1_47_1_1__index_1 ) & ( v1_funct_2 @ c1_47_1_1__index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u1_struct_0 @ c3_47__index_1 ) ) & ( m1_subset_1 @ c1_47_1_1__index_1 @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u1_struct_0 @ c3_47__index_1 ) ) ) ) ),file(index_1,c1_47_1_1__index_1)).
thf(dt_c2_47__index_1,axiom,( m5_index_1 @ c2_47__index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u4_struct_0 @ c1_47__index_1 ) @ ( u1_graph_1 @ c1_47__index_1 ) @ ( u2_graph_1 @ c1_47__index_1 ) @ ( u1_cat_1 @ c1_47__index_1 ) @ ( k7_isocat_1 @ c1_47__index_1 ) ),file(index_1,c2_47__index_1)).
thf(dt_c3_47__index_1,axiom,( m4_index_1 @ c3_47__index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u4_struct_0 @ c1_47__index_1 ) @ ( u1_graph_1 @ c1_47__index_1 ) @ ( u2_graph_1 @ c1_47__index_1 ) @ c2_47__index_1 ),file(index_1,c3_47__index_1)).
thf(cc1_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( v1_relat_1 @ C ) ) ),file(relset_1,cc1_relset_1)).
thf(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(fc1_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ( v1_xtuple_0 @ ( k4_tarski @ A @ B ) ) ),file(xtuple_0,fc1_xtuple_0)).
thf(fc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),file(relat_1,fc6_relat_1)).
thf(rc2_cat_1,axiom,( ? [A: $i] : ( ( l1_cat_1 @ A ) & ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) ) ),file(cat_1,rc2_cat_1)).
thf(rd1_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k1_xtuple_0 @ ( k4_tarski @ A @ B ) ) @ A ) ),file(xtuple_0,rd1_xtuple_0)).
thf(rd3_cat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( v2_cat_1 @ A ) & ( v3_cat_1 @ A ) & ( v4_cat_1 @ A ) & ( v5_cat_1 @ A ) & ( v6_cat_1 @ A ) & ( l1_cat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ) => ( = @ ( k3_graph_1 @ A @ ( k4_cat_1 @ A @ B ) ) @ B ) ) ),file(cat_1,rd3_cat_1)).
thf(rd4_cat_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( v2_cat_1 @ A ) & ( v3_cat_1 @ A ) & ( v4_cat_1 @ A ) & ( v5_cat_1 @ A ) & ( v6_cat_1 @ A ) & ( l1_cat_1 @ A ) & ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) ) => ( = @ ( k4_graph_1 @ A @ ( k4_cat_1 @ A @ B ) ) @ B ) ) ),file(cat_1,rd4_cat_1)).
thf(e4_47_1_1__index_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( u4_struct_0 @ c1_47__index_1 ) ) => ( ( m1_subset_1 @ ( k4_tarski @ ( k4_tarski @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k3_graph_1 @ c1_47__index_1 @ A ) ) @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k4_graph_1 @ c1_47__index_1 @ A ) ) ) @ ( k7_index_1 @ ( u4_struct_0 @ c1_47__index_1 ) @ ( k3_relat_1 @ ( u1_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k3_relat_1 @ ( u2_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k8_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u4_struct_0 @ c1_47__index_1 ) @ ( u1_graph_1 @ c1_47__index_1 ) @ ( u2_graph_1 @ c1_47__index_1 ) @ c2_47__index_1 ) @ A ) ) @ ( u4_struct_0 @ c3_47__index_1 ) ) & ! [B: $i] : ( ( m1_subset_1 @ B @ ( u4_struct_0 @ c3_47__index_1 ) ) => ( ( = @ B @ ( k4_tarski @ ( k4_tarski @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k3_graph_1 @ c1_47__index_1 @ A ) ) @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k4_graph_1 @ c1_47__index_1 @ A ) ) ) @ ( k7_index_1 @ ( u4_struct_0 @ c1_47__index_1 ) @ ( k3_relat_1 @ ( u1_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k3_relat_1 @ ( u2_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k8_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u4_struct_0 @ c1_47__index_1 ) @ ( u1_graph_1 @ c1_47__index_1 ) @ ( u2_graph_1 @ c1_47__index_1 ) @ c2_47__index_1 ) @ A ) ) ) => ( ( = @ ( k3_graph_1 @ c3_47__index_1 @ B ) @ ( k3_funct_2 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u1_struct_0 @ c3_47__index_1 ) @ c1_47_1_1__index_1 @ ( k3_graph_1 @ c1_47__index_1 @ A ) ) ) & ( = @ ( k4_graph_1 @ c3_47__index_1 @ B ) @ ( k3_funct_2 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u1_struct_0 @ c3_47__index_1 ) @ c1_47_1_1__index_1 @ ( k4_graph_1 @ c1_47__index_1 @ A ) ) ) ) ) ) ) ) ),file(index_1,e4_47_1_1__index_1)).
thf(e6_47_1_1__index_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ c1_47__index_1 ) ) => ( = @ ( k4_tarski @ ( k4_tarski @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k3_graph_1 @ c1_47__index_1 @ ( k4_cat_1 @ c1_47__index_1 @ A ) ) ) @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k4_graph_1 @ c1_47__index_1 @ ( k4_cat_1 @ c1_47__index_1 @ A ) ) ) ) @ ( k7_index_1 @ ( u4_struct_0 @ c1_47__index_1 ) @ ( k3_relat_1 @ ( u1_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k3_relat_1 @ ( u2_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k8_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u4_struct_0 @ c1_47__index_1 ) @ ( u1_graph_1 @ c1_47__index_1 ) @ ( u2_graph_1 @ c1_47__index_1 ) @ c2_47__index_1 ) @ ( k4_cat_1 @ c1_47__index_1 @ A ) ) ) @ ( k4_cat_1 @ c3_47__index_1 @ ( k3_funct_2 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u1_struct_0 @ c3_47__index_1 ) @ c1_47_1_1__index_1 @ A ) ) ) ) ),file(index_1,e6_47_1_1__index_1)).
thf(e5_47_1_1__index_1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ ( u4_struct_0 @ c1_47__index_1 ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( u4_struct_0 @ c1_47__index_1 ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( u4_struct_0 @ c3_47__index_1 ) ) => ! [D: $i] : ( ( m1_subset_1 @ D @ ( u4_struct_0 @ c3_47__index_1 ) ) => ( ( ( = @ C @ ( k4_tarski @ ( k4_tarski @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k3_graph_1 @ c1_47__index_1 @ A ) ) @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k4_graph_1 @ c1_47__index_1 @ A ) ) ) @ ( k7_index_1 @ ( u4_struct_0 @ c1_47__index_1 ) @ ( k3_relat_1 @ ( u1_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k3_relat_1 @ ( u2_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k8_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u4_struct_0 @ c1_47__index_1 ) @ ( u1_graph_1 @ c1_47__index_1 ) @ ( u2_graph_1 @ c1_47__index_1 ) @ c2_47__index_1 ) @ A ) ) ) & ( = @ D @ ( k4_tarski @ ( k4_tarski @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k3_graph_1 @ c1_47__index_1 @ B ) ) @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k4_graph_1 @ c1_47__index_1 @ B ) ) ) @ ( k7_index_1 @ ( u4_struct_0 @ c1_47__index_1 ) @ ( k3_relat_1 @ ( u1_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k3_relat_1 @ ( u2_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k8_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u4_struct_0 @ c1_47__index_1 ) @ ( u1_graph_1 @ c1_47__index_1 ) @ ( u2_graph_1 @ c1_47__index_1 ) @ c2_47__index_1 ) @ B ) ) ) & ( = @ ( k3_graph_1 @ c1_47__index_1 @ B ) @ ( k4_graph_1 @ c1_47__index_1 @ A ) ) ) => ( = @ ( k4_tarski @ ( k4_tarski @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k3_graph_1 @ c1_47__index_1 @ ( k1_cat_1 @ c1_47__index_1 @ A @ B ) ) ) @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k4_graph_1 @ c1_47__index_1 @ ( k1_cat_1 @ c1_47__index_1 @ A @ B ) ) ) ) @ ( k7_index_1 @ ( u4_struct_0 @ c1_47__index_1 ) @ ( k3_relat_1 @ ( u1_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k3_relat_1 @ ( u2_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k8_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u4_struct_0 @ c1_47__index_1 ) @ ( u1_graph_1 @ c1_47__index_1 ) @ ( u2_graph_1 @ c1_47__index_1 ) @ c2_47__index_1 ) @ ( k1_cat_1 @ c1_47__index_1 @ A @ B ) ) ) @ ( k1_cat_1 @ c3_47__index_1 @ C @ D ) ) ) ) ) ) ) ),file(index_1,e5_47_1_1__index_1)).
thf(s3_cat_5,axiom,( ! [A: $i > $i] : ! [B: $i] : ! [C: $i > $i] : ! [D: $i] : ( ( ! [E: $i] : ( ( m1_subset_1 @ E @ ( u4_struct_0 @ D ) ) => ( ( m1_subset_1 @ ( C @ E ) @ ( u4_struct_0 @ B ) ) & ! [F: $i] : ( ( m1_subset_1 @ F @ ( u4_struct_0 @ B ) ) => ( ( = @ F @ ( C @ E ) ) => ( ( = @ ( k3_graph_1 @ B @ F ) @ ( A @ ( k3_graph_1 @ D @ E ) ) ) & ( = @ ( k4_graph_1 @ B @ F ) @ ( A @ ( k4_graph_1 @ D @ E ) ) ) ) ) ) ) ) & ! [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ D ) ) => ( = @ ( C @ ( k4_cat_1 @ D @ E ) ) @ ( k4_cat_1 @ B @ ( A @ E ) ) ) ) & ! [E: $i] : ( ( m1_subset_1 @ E @ ( u4_struct_0 @ D ) ) => ! [F: $i] : ( ( m1_subset_1 @ F @ ( u4_struct_0 @ D ) ) => ! [G: $i] : ( ( m1_subset_1 @ G @ ( u4_struct_0 @ B ) ) => ! [H: $i] : ( ( m1_subset_1 @ H @ ( u4_struct_0 @ B ) ) => ( ( ( = @ G @ ( C @ E ) ) & ( = @ H @ ( C @ F ) ) & ( = @ ( k3_graph_1 @ D @ F ) @ ( k4_graph_1 @ D @ E ) ) ) => ( = @ ( C @ ( k1_cat_1 @ D @ E @ F ) ) @ ( k1_cat_1 @ B @ G @ H ) ) ) ) ) ) ) ) => ? [E: $i] : ( ( m2_cat_1 @ E @ D @ B ) & ! [F: $i] : ( ( m1_subset_1 @ F @ ( u4_struct_0 @ D ) ) => ( = @ ( k3_funct_2 @ ( u4_struct_0 @ D ) @ ( u4_struct_0 @ B ) @ E @ F ) @ ( C @ F ) ) ) ) ) ),file(cat_5,s3_cat_5)).
thf(e7_47_1_1__index_1,conjecture,( ? [A: $i] : ( ( m2_cat_1 @ A @ c1_47__index_1 @ c3_47__index_1 ) & ! [B: $i] : ( ( m1_subset_1 @ B @ ( u4_struct_0 @ c1_47__index_1 ) ) => ( = @ ( k3_funct_2 @ ( u4_struct_0 @ c1_47__index_1 ) @ ( u4_struct_0 @ c3_47__index_1 ) @ A @ B ) @ ( k4_tarski @ ( k4_tarski @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k3_graph_1 @ c1_47__index_1 @ B ) ) @ ( k2_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) @ ( k4_graph_1 @ c1_47__index_1 @ B ) ) ) @ ( k7_index_1 @ ( u4_struct_0 @ c1_47__index_1 ) @ ( k3_relat_1 @ ( u1_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k3_relat_1 @ ( u2_graph_1 @ c1_47__index_1 ) @ ( k1_xtuple_0 @ c2_47__index_1 ) ) @ ( k8_index_1 @ ( u1_struct_0 @ c1_47__index_1 ) @ ( u4_struct_0 @ c1_47__index_1 ) @ ( u1_graph_1 @ c1_47__index_1 ) @ ( u2_graph_1 @ c1_47__index_1 ) @ c2_47__index_1 ) @ B ) ) ) ) ) ),file(index_1,e7_47_1_1__index_1)).
