% Mizar problem: s2_msaterm,msaterm,293,10 
include('Axioms/SET010^1.ax').
thf(n1_type,type,( np__1: $i )).
thf(f1_s2_msaterm_type,type,( f1_s2_msaterm: $i )).
thf(f2_s2_msaterm_type,type,( f2_s2_msaterm: $i )).
thf(f3_s2_msaterm_type,type,( f3_s2_msaterm: $i )).
thf(g1_lang1_type,type,( g1_lang1: $i > $i > $i )).
thf(k10_xtuple_0_type,type,( k10_xtuple_0: $i > $i )).
thf(k13_finseq_1_type,type,( k13_finseq_1: $i > $i )).
thf(k14_trees_3_type,type,( k14_trees_3: $i > $i )).
thf(k1_dtconstr_type,type,( k1_dtconstr: $i > $i > $i > $i )).
thf(k1_funct_1_type,type,( k1_funct_1: $i > $i > $i )).
thf(k1_lang1_type,type,( k1_lang1: $i > $i )).
thf(k1_msaterm_type,type,( k1_msaterm: $i > $i > $i )).
thf(k1_numbers_type,type,( k1_numbers: $i )).
thf(k1_tarski_type,type,( k1_tarski: $i > $i )).
thf(k1_trees_4_type,type,( k1_trees_4: $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_lang1_type,type,( k2_lang1: $i > $i )).
thf(k2_msaterm_type,type,( k2_msaterm: $i > $i > $i > $i )).
thf(k2_pboole_type,type,( k2_pboole: $i > $i > $i > $i )).
thf(k2_tarski_type,type,( k2_tarski: $i > $i > $i )).
thf(k2_trees_4_type,type,( k2_trees_4: $i > $i > $i )).
thf(k2_zfmisc_1_type,type,( k2_zfmisc_1: $i > $i > $i )).
thf(k3_finseq_2_type,type,( k3_finseq_2: $i > $i )).
thf(k4_dtconstr_type,type,( k4_dtconstr: $i > $i )).
thf(k4_ordinal1_type,type,( k4_ordinal1: $i )).
thf(k4_tarski_type,type,( k4_tarski: $i > $i > $i )).
thf(k4_trees_4_type,type,( k4_trees_4: $i > $i > $i )).
thf(k5_msafree_type,type,( k5_msafree: $i > $i > $i )).
thf(k5_numbers_type,type,( k5_numbers: $i )).
thf(k5_trees_3_type,type,( k5_trees_3: $i > $i )).
thf(k6_dtconstr_type,type,( k6_dtconstr: $i > $i )).
thf(k6_msafree_type,type,( k6_msafree: $i > $i > $i > $i )).
thf(k7_dtconstr_type,type,( k7_dtconstr: $i > $i )).
thf(k8_trees_4_type,type,( k8_trees_4: $i > $i > $i > $i )).
thf(u1_lang1_type,type,( u1_lang1: $i > $i )).
thf(u1_struct_0_type,type,( u1_struct_0: $i > $i )).
thf(u3_msualg_1_type,type,( u3_msualg_1: $i > $i > $i )).
thf(u4_struct_0_type,type,( u4_struct_0: $i > $i )).
thf(l1_lang1_type,type,( l1_lang1: $i > $o )).
thf(l1_msualg_1_type,type,( l1_msualg_1: $i > $o )).
thf(l1_struct_0_type,type,( l1_struct_0: $i > $o )).
thf(l2_msualg_1_type,type,( l2_msualg_1: $i > $i > $o )).
thf(l3_msualg_1_type,type,( l3_msualg_1: $i > $i > $o )).
thf(l5_struct_0_type,type,( l5_struct_0: $i > $o )).
thf(m1_dtconstr_type,type,( m1_dtconstr: $i > $i > $i > $i > $o )).
thf(m1_finseq_1_type,type,( m1_finseq_1: $i > $i > $o )).
thf(m1_finseq_2_type,type,( m1_finseq_2: $i > $i > $o )).
thf(m1_msaterm_type,type,( m1_msaterm: $i > $i > $i > $i > $o )).
thf(m1_subset_1_type,type,( m1_subset_1: $i > $i > $o )).
thf(m1_trees_3_type,type,( m1_trees_3: $i > $i > $o )).
thf(m1_trees_4_type,type,( m1_trees_4: $i > $i > $i > $o )).
thf(m2_dtconstr_type,type,( m2_dtconstr: $i > $i > $i > $o )).
thf(m2_finseq_1_type,type,( m2_finseq_1: $i > $i > $o )).
thf(m2_subset_1_type,type,( m2_subset_1: $i > $i > $i > $o )).
thf(p1_s2_msaterm_type,type,( p1_s2_msaterm: $i > $o )).
thf(r1_lang1_type,type,( r1_lang1: $i > $i > $i > $o )).
thf(r1_tarski_type,type,( r1_tarski: $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_dtconstr_type,type,( v1_dtconstr: $i > $o )).
thf(v1_finseq_1_type,type,( v1_finseq_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_lang1_type,type,( v1_lang1: $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_setfam_1_type,type,( v1_setfam_1: $i > $o )).
thf(v1_trees_1_type,type,( v1_trees_1: $i > $o )).
thf(v1_trees_2_type,type,( v1_trees_2: $i > $o )).
thf(v1_trees_3_type,type,( v1_trees_3: $i > $o )).
thf(v1_trees_9_type,type,( v1_trees_9: $i > $o )).
thf(v1_xboole_0_type,type,( v1_xboole_0: $i > $o )).
thf(v1_xcmplx_0_type,type,( v1_xcmplx_0: $i > $o )).
thf(v1_xreal_0_type,type,( v1_xreal_0: $i > $o )).
thf(v1_xtuple_0_type,type,( v1_xtuple_0: $i > $o )).
thf(v1_xxreal_0_type,type,( v1_xxreal_0: $i > $o )).
thf(v1_zfmisc_1_type,type,( v1_zfmisc_1: $i > $o )).
thf(v2_dtconstr_type,type,( v2_dtconstr: $i > $o )).
thf(v2_finseq_1_type,type,( v2_finseq_1: $i > $o )).
thf(v2_finset_1_type,type,( v2_finset_1: $i > $o )).
thf(v2_funct_1_type,type,( v2_funct_1: $i > $o )).
thf(v2_ordinal1_type,type,( v2_ordinal1: $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(v2_trees_3_type,type,( v2_trees_3: $i > $o )).
thf(v2_trees_9_type,type,( v2_trees_9: $i > $o )).
thf(v2_xxreal_0_type,type,( v2_xxreal_0: $i > $o )).
thf(v3_dtconstr_type,type,( v3_dtconstr: $i > $o )).
thf(v3_finseq_1_type,type,( v3_finseq_1: $i > $o )).
thf(v3_funct_1_type,type,( v3_funct_1: $i > $o )).
thf(v3_ordinal1_type,type,( v3_ordinal1: $i > $o )).
thf(v3_relat_1_type,type,( v3_relat_1: $i > $o )).
thf(v3_trees_2_type,type,( v3_trees_2: $i > $o )).
thf(v3_trees_3_type,type,( v3_trees_3: $i > $o )).
thf(v3_trees_9_type,type,( v3_trees_9: $i > $o )).
thf(v4_funct_1_type,type,( v4_funct_1: $i > $o )).
thf(v4_msualg_1_type,type,( v4_msualg_1: $i > $i > $o )).
thf(v4_relat_1_type,type,( v4_relat_1: $i > $i > $o )).
thf(v4_trees_3_type,type,( v4_trees_3: $i > $o )).
thf(v5_finset_1_type,type,( v5_finset_1: $i > $o )).
thf(v5_ordinal1_type,type,( v5_ordinal1: $i > $o )).
thf(v5_relat_1_type,type,( v5_relat_1: $i > $i > $o )).
thf(v5_trees_3_type,type,( v5_trees_3: $i > $o )).
thf(v6_ordinal1_type,type,( v6_ordinal1: $i > $o )).
thf(v6_trees_3_type,type,( v6_trees_3: $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(abstractness_v1_lang1,axiom,( ! [A: $i] : ( ( l1_lang1 @ A ) => ( ( v1_lang1 @ A ) => ( = @ A @ ( g1_lang1 @ ( u1_struct_0 @ A ) @ ( u1_lang1 @ A ) ) ) ) ) ),file(lang1,v1_lang1)).
thf(antisymmetry_r2_hidden,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ~ ( r2_hidden @ B @ A ) ) ),file(hidden,r2_hidden)).
thf(cc10_finseq_1,axiom,( ! [A: $i] : ( ( v3_finseq_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_finseq_1 @ B ) ) ) ),file(finseq_1,cc10_finseq_1)).
thf(cc10_ordinal1,axiom,( ! [A: $i] : ( ( v6_ordinal1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v6_ordinal1 @ B ) ) ) ),file(ordinal1,cc10_ordinal1)).
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_trees_3,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_trees_3 @ B @ A ) => ( v3_trees_3 @ B ) ) ) ),file(trees_3,cc10_trees_3)).
thf(cc11_finseq_1,axiom,( ! [A: $i] : ( ( v3_finseq_1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v3_finseq_1 @ B ) ) ) ),file(finseq_1,cc11_finseq_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(cc11_trees_3,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_trees_3 @ B @ A ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ B ) => ( v5_relat_1 @ C @ A ) ) ) ),file(trees_3,cc11_trees_3)).
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(cc13_trees_3,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_xboole_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v4_trees_3 @ A ) & ( v5_trees_3 @ A ) & ( v6_trees_3 @ A ) ) ) ),file(trees_3,cc13_trees_3)).
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(cc14_trees_3,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v5_trees_3 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v4_trees_3 @ A ) ) ) ),file(trees_3,cc14_trees_3)).
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(cc15_trees_3,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_trees_3 @ A ) ) => ! [B: $i] : ( ( m1_finseq_1 @ B @ A ) => ( v4_trees_3 @ B ) ) ) ),file(trees_3,cc15_trees_3)).
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(cc16_trees_3,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v2_trees_3 @ A ) ) => ! [B: $i] : ( ( m1_finseq_1 @ B @ A ) => ( v5_trees_3 @ B ) ) ) ),file(trees_3,cc16_trees_3)).
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(cc17_trees_3,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v3_trees_3 @ A ) ) => ! [B: $i] : ( ( m1_finseq_1 @ B @ A ) => ( v6_trees_3 @ B ) ) ) ),file(trees_3,cc17_trees_3)).
thf(cc1_dtconstr,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_trees_3 @ B @ A ) ) => ! [C: $i] : ( ( m1_finseq_1 @ C @ B ) => ( v6_trees_3 @ C ) ) ) ),file(dtconstr,cc1_dtconstr)).
thf(cc1_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_xboole_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_finseq_1 @ A ) ) ) ),file(finseq_1,cc1_finseq_1)).
thf(cc1_finset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_finset_1 @ A ) ) ),file(finset_1,cc1_finset_1)).
thf(cc1_funct_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_funct_1 @ A ) ) ),file(funct_1,cc1_funct_1)).
thf(cc1_msualg_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_msualg_1 @ A ) & ( v4_msualg_1 @ B @ A ) & ( l3_msualg_1 @ B @ A ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( k10_xtuple_0 @ ( u3_msualg_1 @ A @ B ) ) ) => ~ ( v1_xboole_0 @ C ) ) ) ),file(msualg_1,cc1_msualg_1)).
thf(cc1_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) ) ),file(ordinal1,cc1_ordinal1)).
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(cc1_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_relat_1 @ A ) ) ),file(relat_1,cc1_relat_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(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_trees_3,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( ( v1_trees_3 @ A ) & ( v2_trees_3 @ A ) & ( v3_trees_3 @ A ) ) ) ),file(trees_3,cc1_trees_3)).
thf(cc1_trees_9,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_trees_1 @ A ) ) => ( ~ ( v1_xboole_0 @ A ) & ( v1_trees_1 @ A ) & ( v1_trees_2 @ A ) ) ) ),file(trees_9,cc1_trees_9)).
thf(cc1_xreal_0,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k1_numbers ) => ( v1_xreal_0 @ A ) ) ),file(xreal_0,cc1_xreal_0)).
thf(cc2_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) ) ) ),file(finseq_1,cc2_finseq_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_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_ordinal1,axiom,( ! [A: $i] : ( ( ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc2_ordinal1)).
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_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(cc2_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) => ( ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) ) ) ),file(relset_1,cc2_relset_1)).
thf(cc2_struct_0,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ( ~ ( v7_struct_0 @ A ) => ~ ( v2_struct_0 @ A ) ) ) ),file(struct_0,cc2_struct_0)).
thf(cc2_trees_3,axiom,( ! [A: $i] : ( ( v2_trees_3 @ A ) => ( v1_trees_3 @ A ) ) ),file(trees_3,cc2_trees_3)).
thf(cc2_trees_9,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_trees_1 @ A ) & ( v1_trees_2 @ A ) ) => ( ~ ( v1_xboole_0 @ A ) & ( v1_trees_1 @ A ) & ( v1_trees_9 @ A ) ) ) ),file(trees_9,cc2_trees_9)).
thf(cc2_xreal_0,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v1_xreal_0 @ A ) ) ),file(xreal_0,cc2_xreal_0)).
thf(cc3_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_finseq_1 @ B @ A ) => ( v5_relat_1 @ B @ A ) ) ),file(finseq_1,cc3_finseq_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_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc3_ordinal1)).
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(cc3_trees_3,axiom,( ! [A: $i] : ( ( v1_trees_3 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v1_trees_3 @ B ) ) ) ),file(trees_3,cc3_trees_3)).
thf(cc3_trees_9,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v3_trees_2 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_trees_2 @ A ) & ( v2_trees_9 @ A ) ) ) ),file(trees_9,cc3_trees_9)).
thf(cc3_xreal_0,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ( v1_xcmplx_0 @ A ) ) ),file(xreal_0,cc3_xreal_0)).
thf(cc4_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_xboole_0 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_finseq_1 @ A ) ) ) ),file(finseq_1,cc4_finseq_1)).
thf(cc4_finset_1,axiom,( ! [A: $i] : ( ( v1_zfmisc_1 @ A ) => ( v1_finset_1 @ A ) ) ),file(finset_1,cc4_finset_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_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_ordinal1 @ A ) ) ),file(ordinal1,cc4_ordinal1)).
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(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(cc4_trees_3,axiom,( ! [A: $i] : ( ( v2_trees_3 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v2_trees_3 @ B ) ) ) ),file(trees_3,cc4_trees_3)).
thf(cc4_trees_9,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_trees_2 @ A ) & ( v2_trees_9 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_trees_2 @ A ) & ( v3_trees_9 @ A ) ) ) ),file(trees_9,cc4_trees_9)).
thf(cc4_xreal_0,axiom,( ! [A: $i] : ( ( v1_xreal_0 @ A ) => ( v1_xxreal_0 @ A ) ) ),file(xreal_0,cc4_xreal_0)).
thf(cc5_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) ) ),file(finseq_1,cc5_finseq_1)).
thf(cc5_finset_1,axiom,( ! [A: $i] : ( ~ ( v1_finset_1 @ A ) => ~ ( v1_zfmisc_1 @ A ) ) ),file(finset_1,cc5_finset_1)).
thf(cc5_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) => ( ~ ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) ) ),file(funct_1,cc5_funct_1)).
thf(cc5_ordinal1,axiom,( ! [A: $i] : ( ( v3_ordinal1 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v3_ordinal1 @ B ) ) ) ),file(ordinal1,cc5_ordinal1)).
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(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_trees_3,axiom,( ! [A: $i] : ( ( v3_trees_3 @ A ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) => ( v3_trees_3 @ B ) ) ) ),file(trees_3,cc5_trees_3)).
thf(cc5_trees_9,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k5_trees_3 @ A ) ) ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ B ) => ( v1_finset_1 @ C ) ) ) ),file(trees_9,cc5_trees_9)).
thf(cc6_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_finseq_1 @ A ) ) ) ),file(finseq_1,cc6_finseq_1)).
thf(cc6_finset_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v5_finset_1 @ A ) ) ),file(finset_1,cc6_finset_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_ordinal1,axiom,( ! [A: $i] : ( ( v7_ordinal1 @ A ) => ( v3_ordinal1 @ A ) ) ),file(ordinal1,cc6_ordinal1)).
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(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_trees_3,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_trees_3 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( ~ ( v1_xboole_0 @ B ) & ( v1_trees_1 @ B ) ) ) ) ),file(trees_3,cc6_trees_3)).
thf(cc7_finseq_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_finseq_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ( v2_finseq_1 @ A ) ) ) ),file(finseq_1,cc7_finseq_1)).
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_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(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(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(cc7_trees_3,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v2_trees_3 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v1_finset_1 @ B ) ) ) ),file(trees_3,cc7_trees_3)).
thf(cc8_finseq_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v3_finseq_1 @ A ) ) ),file(finseq_1,cc8_finseq_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_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_ordinal1,axiom,( ! [A: $i] : ( ( m1_subset_1 @ A @ k4_ordinal1 ) => ( v7_ordinal1 @ A ) ) ),file(ordinal1,cc8_ordinal1)).
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(cc8_trees_3,axiom,( ! [A: $i] : ( ( v3_trees_3 @ A ) => ( v4_funct_1 @ A ) ) ),file(trees_3,cc8_trees_3)).
thf(cc9_finseq_1,axiom,( ! [A: $i] : ( ( v3_finseq_1 @ A ) => ( v4_funct_1 @ A ) ) ),file(finseq_1,cc9_finseq_1)).
thf(cc9_finset_1,axiom,( ! [A: $i] : ( ( ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ( ( v1_relat_1 @ A ) & ( v2_finset_1 @ A ) ) ) ),file(finset_1,cc9_finset_1)).
thf(cc9_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_ordinal1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v6_ordinal1 @ A ) ) ),file(ordinal1,cc9_ordinal1)).
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_trees_3,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v3_trees_3 @ A ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ A ) => ( v3_trees_2 @ B ) ) ) ),file(trees_3,cc9_trees_3)).
thf(commutativity_k2_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 ) ) => ( = @ ( k2_pboole @ A @ B @ C ) @ ( k2_pboole @ A @ C @ B ) ) ) ),file(pboole,k2_pboole)).
thf(commutativity_k2_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k2_tarski @ A @ B ) @ ( k2_tarski @ B @ A ) ) ),file(tarski,k2_tarski)).
thf(d1_msaterm,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) ) => ( = @ ( k1_msaterm @ A @ B ) @ ( k4_dtconstr @ ( k5_msafree @ A @ B ) ) ) ) ) ),file(msaterm,d1_msaterm)).
thf(d1_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( ( = @ B @ ( k1_tarski @ A ) ) <=> ! [C: $i] : ( ( r2_hidden @ C @ B ) <=> ( = @ C @ A ) ) ) ),file(tarski,d1_tarski)).
thf(d2_msaterm,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ ( u1_struct_0 @ ( k5_msafree @ A @ B ) ) @ ( k7_dtconstr @ ( k5_msafree @ A @ B ) ) ) => ! [D: $i] : ( ( m1_trees_4 @ D @ ( k5_trees_3 @ ( u1_struct_0 @ ( k5_msafree @ A @ B ) ) ) @ ( k1_msaterm @ A @ B ) ) => ( ( m1_msaterm @ D @ A @ B @ C ) <=> ( m2_dtconstr @ D @ ( k5_msafree @ A @ B ) @ C ) ) ) ) ) ) ),file(msaterm,d2_msaterm)).
thf(d2_xboole_0,axiom,( = @ k1_xboole_0 @ ( eps @ ^ [A: $i] : ( v1_xboole_0 @ A ) ) ),file(xboole_0,d2_xboole_0)).
thf(d3_lang1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_lang1 @ A ) ) => ( = @ ( k2_lang1 @ A ) @ ( replSep1 @ ^ [B: $i] : ( m1_subset_1 @ B @ ( u1_struct_0 @ A ) ) @ ^ [B: $i] : B @ ^ [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v1_funct_1 @ C ) & ( v1_finseq_1 @ C ) & ( r1_lang1 @ A @ B @ C ) ) ) ) ) ),file(lang1,d3_lang1)).
thf(d5_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( = @ ( k4_tarski @ A @ B ) @ ( k2_tarski @ ( k2_tarski @ A @ B ) @ ( k1_tarski @ A ) ) ) ),file(tarski,d5_tarski)).
thf(d6_dtconstr,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_dtconstr @ A ) & ( v3_dtconstr @ A ) & ( l1_lang1 @ A ) ) => ! [B: $i] : ( ( m2_subset_1 @ B @ ( u1_struct_0 @ A ) @ ( k7_dtconstr @ A ) ) => ! [C: $i] : ( ( m1_trees_4 @ C @ ( k5_trees_3 @ ( u1_struct_0 @ A ) ) @ ( k4_dtconstr @ A ) ) => ( ( m2_dtconstr @ C @ A @ B ) <=> ( r1_lang1 @ A @ B @ ( k1_dtconstr @ ( u1_struct_0 @ A ) @ ( k5_trees_3 @ ( u1_struct_0 @ A ) ) @ C ) ) ) ) ) ) ),file(dtconstr,d6_dtconstr)).
thf(d9_msafree,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) ) => ! [C: $i] : ( ( m1_subset_1 @ C @ ( u4_struct_0 @ A ) ) => ( = @ ( k6_msafree @ A @ B @ C ) @ ( k4_tarski @ C @ ( u1_struct_0 @ A ) ) ) ) ) ) ),file(msafree,d9_msafree)).
thf(dt_f1_s2_msaterm,axiom,( ~ ( v2_struct_0 @ f1_s2_msaterm ) & ~ ( v11_struct_0 @ f1_s2_msaterm ) & ( l1_msualg_1 @ f1_s2_msaterm ) ),file(msaterm,f1_s2_msaterm)).
thf(dt_f2_s2_msaterm,axiom,( ( v4_msualg_1 @ f2_s2_msaterm @ f1_s2_msaterm ) & ( l3_msualg_1 @ f2_s2_msaterm @ f1_s2_msaterm ) ),file(msaterm,f2_s2_msaterm)).
thf(dt_f3_s2_msaterm,axiom,( ( v1_relat_1 @ f3_s2_msaterm ) & ( v2_relat_1 @ f3_s2_msaterm ) & ( v4_relat_1 @ f3_s2_msaterm @ ( u1_struct_0 @ f1_s2_msaterm ) ) & ( v1_funct_1 @ f3_s2_msaterm ) & ( v1_partfun1 @ f3_s2_msaterm @ ( u1_struct_0 @ f1_s2_msaterm ) ) ),file(msaterm,f3_s2_msaterm)).
thf(dt_g1_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ ( k3_finseq_2 @ A ) ) ) ) => ( ( v1_lang1 @ ( g1_lang1 @ A @ B ) ) & ( l1_lang1 @ ( g1_lang1 @ A @ B ) ) ) ) ),file(lang1,g1_lang1)).
thf(dt_k10_xtuple_0,axiom,( $true ),file(xtuple_0,k10_xtuple_0)).
thf(dt_k13_finseq_1,axiom,( $true ),file(finseq_1,k13_finseq_1)).
thf(dt_k14_trees_3,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finseq_1 @ A ) ) => ( ( v1_relat_1 @ ( k14_trees_3 @ A ) ) & ( v1_funct_1 @ ( k14_trees_3 @ A ) ) & ( v1_finseq_1 @ ( k14_trees_3 @ A ) ) ) ) ),file(trees_3,k14_trees_3)).
thf(dt_k1_dtconstr,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_trees_3 @ B @ A ) & ( m1_finseq_1 @ C @ B ) ) => ( m2_finseq_1 @ ( k1_dtconstr @ A @ B @ C ) @ A ) ) ),file(dtconstr,k1_dtconstr)).
thf(dt_k1_funct_1,axiom,( $true ),file(funct_1,k1_funct_1)).
thf(dt_k1_lang1,axiom,( $true ),file(lang1,k1_lang1)).
thf(dt_k1_msaterm,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k1_msaterm @ A @ B ) @ ( k1_zfmisc_1 @ ( k5_trees_3 @ ( u1_struct_0 @ ( k5_msafree @ A @ B ) ) ) ) ) ) ),file(msaterm,k1_msaterm)).
thf(dt_k1_numbers,axiom,( $true ),file(numbers,k1_numbers)).
thf(dt_k1_tarski,axiom,( $true ),file(tarski,k1_tarski)).
thf(dt_k1_trees_4,axiom,( ! [A: $i] : ( ( v1_relat_1 @ ( k1_trees_4 @ A ) ) & ( v1_funct_1 @ ( k1_trees_4 @ A ) ) & ( v3_trees_2 @ ( k1_trees_4 @ A ) ) ) ),file(trees_4,k1_trees_4)).
thf(dt_k1_xboole_0,axiom,( $true ),file(xboole_0,k1_xboole_0)).
thf(dt_k1_zfmisc_1,axiom,( $true ),file(zfmisc_1,k1_zfmisc_1)).
thf(dt_k2_lang1,axiom,( $true ),file(lang1,k2_lang1)).
thf(dt_k2_msaterm,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u4_struct_0 @ A ) ) ) => ( m2_subset_1 @ ( k2_msaterm @ A @ B @ C ) @ ( u1_struct_0 @ ( k5_msafree @ A @ B ) ) @ ( k7_dtconstr @ ( k5_msafree @ A @ B ) ) ) ) ),file(msaterm,k2_msaterm)).
thf(dt_k2_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 ) ) => ( ( v1_relat_1 @ ( k2_pboole @ A @ B @ C ) ) & ( v4_relat_1 @ ( k2_pboole @ A @ B @ C ) @ A ) & ( v1_funct_1 @ ( k2_pboole @ A @ B @ C ) ) & ( v1_partfun1 @ ( k2_pboole @ A @ B @ C ) @ A ) ) ) ),file(pboole,k2_pboole)).
thf(dt_k2_tarski,axiom,( $true ),file(tarski,k2_tarski)).
thf(dt_k2_trees_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ A ) ) => ( m1_subset_1 @ ( k2_trees_4 @ A @ B ) @ ( k5_trees_3 @ A ) ) ) ),file(trees_4,k2_trees_4)).
thf(dt_k2_zfmisc_1,axiom,( $true ),file(zfmisc_1,k2_zfmisc_1)).
thf(dt_k3_finseq_2,axiom,( ! [A: $i] : ( m1_finseq_2 @ ( k3_finseq_2 @ A ) @ A ) ),file(finseq_2,k3_finseq_2)).
thf(dt_k4_dtconstr,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_lang1 @ A ) ) => ( m1_subset_1 @ ( k4_dtconstr @ A ) @ ( k1_zfmisc_1 @ ( k5_trees_3 @ ( u1_struct_0 @ A ) ) ) ) ) ),file(dtconstr,k4_dtconstr)).
thf(dt_k4_ordinal1,axiom,( $true ),file(ordinal1,k4_ordinal1)).
thf(dt_k4_tarski,axiom,( $true ),file(tarski,k4_tarski)).
thf(dt_k4_trees_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) ) => ( ( v1_relat_1 @ ( k4_trees_4 @ A @ B ) ) & ( v1_funct_1 @ ( k4_trees_4 @ A @ B ) ) & ( v3_trees_2 @ ( k4_trees_4 @ A @ B ) ) ) ) ),file(trees_4,k4_trees_4)).
thf(dt_k5_msafree,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) ) => ( l1_lang1 @ ( k5_msafree @ A @ B ) ) ) ),file(msafree,k5_msafree)).
thf(dt_k5_numbers,axiom,( m1_subset_1 @ k5_numbers @ ( k1_zfmisc_1 @ k1_numbers ) ),file(numbers,k5_numbers)).
thf(dt_k5_trees_3,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ( m1_trees_3 @ ( k5_trees_3 @ A ) @ A ) ) ),file(trees_3,k5_trees_3)).
thf(dt_k6_dtconstr,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v1_dtconstr @ A ) & ( l1_lang1 @ A ) ) => ( ~ ( v1_xboole_0 @ ( k6_dtconstr @ A ) ) & ( m1_subset_1 @ ( k6_dtconstr @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ),file(dtconstr,k6_dtconstr)).
thf(dt_k6_msafree,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u4_struct_0 @ A ) ) ) => ( m1_subset_1 @ ( k6_msafree @ A @ B @ C ) @ ( u1_struct_0 @ ( k5_msafree @ A @ B ) ) ) ) ),file(msafree,k6_msafree)).
thf(dt_k7_dtconstr,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_dtconstr @ A ) & ( l1_lang1 @ A ) ) => ( ~ ( v1_xboole_0 @ ( k7_dtconstr @ A ) ) & ( m1_subset_1 @ ( k7_dtconstr @ A ) @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ) ) ),file(dtconstr,k7_dtconstr)).
thf(dt_k8_trees_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ A ) & ( m1_finseq_1 @ C @ ( k5_trees_3 @ A ) ) ) => ( m1_subset_1 @ ( k8_trees_4 @ A @ B @ C ) @ ( k5_trees_3 @ A ) ) ) ),file(trees_4,k8_trees_4)).
thf(dt_l1_lang1,axiom,( ! [A: $i] : ( ( l1_lang1 @ A ) => ( l1_struct_0 @ A ) ) ),file(lang1,l1_lang1)).
thf(dt_l1_msualg_1,axiom,( ! [A: $i] : ( ( l1_msualg_1 @ A ) => ( l5_struct_0 @ A ) ) ),file(msualg_1,l1_msualg_1)).
thf(dt_l1_struct_0,axiom,( $true ),file(struct_0,l1_struct_0)).
thf(dt_l2_msualg_1,axiom,( $true ),file(msualg_1,l2_msualg_1)).
thf(dt_l3_msualg_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_msualg_1 @ A ) ) => ! [B: $i] : ( ( l3_msualg_1 @ B @ A ) => ( l2_msualg_1 @ B @ A ) ) ) ),file(msualg_1,l3_msualg_1)).
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_dtconstr,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_trees_3 @ B @ A ) & ~ ( v1_xboole_0 @ C ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ B ) ) ) => ! [D: $i] : ( ( m1_dtconstr @ D @ A @ B @ C ) => ( m1_subset_1 @ D @ B ) ) ) ),file(dtconstr,m1_dtconstr)).
thf(dt_m1_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_finseq_1 @ B @ A ) => ( ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) ) ) ),file(finseq_1,m1_finseq_1)).
thf(dt_m1_finseq_2,axiom,( $true ),file(finseq_2,m1_finseq_2)).
thf(dt_m1_msaterm,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( k7_dtconstr @ ( k5_msafree @ A @ B ) ) ) ) => ! [D: $i] : ( ( m1_msaterm @ D @ A @ B @ C ) => ( m1_trees_4 @ D @ ( k5_trees_3 @ ( u1_struct_0 @ ( k5_msafree @ A @ B ) ) ) @ ( k1_msaterm @ A @ B ) ) ) ) ),file(msaterm,m1_msaterm)).
thf(dt_m1_subset_1,axiom,( $true ),file(subset_1,m1_subset_1)).
thf(dt_m1_trees_3,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ! [B: $i] : ( ( m1_trees_3 @ B @ A ) => ~ ( v1_xboole_0 @ B ) ) ) ),file(trees_3,m1_trees_3)).
thf(dt_m1_trees_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) => ! [C: $i] : ( ( m1_trees_4 @ C @ A @ B ) => ( m2_finseq_1 @ C @ A ) ) ) ),file(trees_4,m1_trees_4)).
thf(dt_m2_dtconstr,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_dtconstr @ A ) & ( v3_dtconstr @ A ) & ( l1_lang1 @ A ) & ( m1_subset_1 @ B @ ( k7_dtconstr @ A ) ) ) => ! [C: $i] : ( ( m2_dtconstr @ C @ A @ B ) => ( m1_trees_4 @ C @ ( k5_trees_3 @ ( u1_struct_0 @ A ) ) @ ( k4_dtconstr @ A ) ) ) ) ),file(dtconstr,m2_dtconstr)).
thf(dt_m2_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m2_finseq_1 @ B @ A ) => ( ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k5_numbers @ A ) ) ) ) ) ),file(finseq_1,m2_finseq_1)).
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_lang1,axiom,( ! [A: $i] : ( ( l1_lang1 @ A ) => ( m1_subset_1 @ ( u1_lang1 @ A ) @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ ( u1_struct_0 @ A ) @ ( k3_finseq_2 @ ( u1_struct_0 @ A ) ) ) ) ) ) ),file(lang1,u1_lang1)).
thf(dt_u1_struct_0,axiom,( $true ),file(struct_0,u1_struct_0)).
thf(dt_u3_msualg_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_struct_0 @ A ) & ( l2_msualg_1 @ B @ A ) ) => ( ( v1_relat_1 @ ( u3_msualg_1 @ A @ B ) ) & ( v4_relat_1 @ ( u3_msualg_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ ( u3_msualg_1 @ A @ B ) ) & ( v1_partfun1 @ ( u3_msualg_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) ) ) ),file(msualg_1,u3_msualg_1)).
thf(dt_u4_struct_0,axiom,( $true ),file(struct_0,u4_struct_0)).
thf(existence_l1_lang1,axiom,( ? [A: $i] : ( l1_lang1 @ A ) ),file(lang1,l1_lang1)).
thf(existence_l1_msualg_1,axiom,( ? [A: $i] : ( l1_msualg_1 @ A ) ),file(msualg_1,l1_msualg_1)).
thf(existence_l1_struct_0,axiom,( ? [A: $i] : ( l1_struct_0 @ A ) ),file(struct_0,l1_struct_0)).
thf(existence_l2_msualg_1,axiom,( ! [A: $i] : ( ( l1_struct_0 @ A ) => ? [B: $i] : ( l2_msualg_1 @ B @ A ) ) ),file(msualg_1,l2_msualg_1)).
thf(existence_l3_msualg_1,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_msualg_1 @ A ) ) => ? [B: $i] : ( l3_msualg_1 @ B @ A ) ) ),file(msualg_1,l3_msualg_1)).
thf(existence_l5_struct_0,axiom,( ? [A: $i] : ( l5_struct_0 @ A ) ),file(struct_0,l5_struct_0)).
thf(existence_m1_dtconstr,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_trees_3 @ B @ A ) & ~ ( v1_xboole_0 @ C ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ B ) ) ) => ? [D: $i] : ( m1_dtconstr @ D @ A @ B @ C ) ) ),file(dtconstr,m1_dtconstr)).
thf(existence_m1_finseq_1,axiom,( ! [A: $i] : ? [B: $i] : ( m1_finseq_1 @ B @ A ) ),file(finseq_1,m1_finseq_1)).
thf(existence_m1_finseq_2,axiom,( ! [A: $i] : ? [B: $i] : ( m1_finseq_2 @ B @ A ) ),file(finseq_2,m1_finseq_2)).
thf(existence_m1_msaterm,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( k7_dtconstr @ ( k5_msafree @ A @ B ) ) ) ) => ? [D: $i] : ( m1_msaterm @ D @ A @ B @ C ) ) ),file(msaterm,m1_msaterm)).
thf(existence_m1_subset_1,axiom,( ! [A: $i] : ? [B: $i] : ( m1_subset_1 @ B @ A ) ),file(subset_1,m1_subset_1)).
thf(existence_m1_trees_3,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( m1_trees_3 @ B @ A ) ) ),file(trees_3,m1_trees_3)).
thf(existence_m1_trees_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) => ? [C: $i] : ( m1_trees_4 @ C @ A @ B ) ) ),file(trees_4,m1_trees_4)).
thf(existence_m2_dtconstr,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_dtconstr @ A ) & ( v3_dtconstr @ A ) & ( l1_lang1 @ A ) & ( m1_subset_1 @ B @ ( k7_dtconstr @ A ) ) ) => ? [C: $i] : ( m2_dtconstr @ C @ A @ B ) ) ),file(dtconstr,m2_dtconstr)).
thf(existence_m2_finseq_1,axiom,( ! [A: $i] : ? [B: $i] : ( m2_finseq_1 @ B @ A ) ),file(finseq_1,m2_finseq_1)).
thf(existence_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 ) ) ),file(subset_1,m2_subset_1)).
thf(fc10_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( v1_setfam_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(funct_1,fc10_funct_1)).
thf(fc11_relat_1,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_xboole_0 @ ( k10_xtuple_0 @ A ) ) ) ),file(relat_1,fc11_relat_1)).
thf(fc12_finseq_1,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k13_finseq_1 @ A ) ) ),file(finseq_1,fc12_finseq_1)).
thf(fc12_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_funct_1 @ A ) ) => ( v1_zfmisc_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(funct_1,fc12_funct_1)).
thf(fc13_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) => ~ ( v1_zfmisc_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(funct_1,fc13_funct_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_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_finset_1 @ A ) & ( v1_finset_1 @ B ) ) => ( v1_finset_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) ),file(finset_1,fc14_finset_1)).
thf(fc14_funct_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) ) => ( v4_funct_1 @ ( k1_tarski @ A ) ) ) ),file(funct_1,fc14_funct_1)).
thf(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(fc15_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_relat_1 @ B ) & ( v1_funct_1 @ B ) ) => ( v4_funct_1 @ ( k2_tarski @ A @ B ) ) ) ),file(funct_1,fc15_funct_1)).
thf(fc17_finset_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( v1_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(finset_1,fc17_finset_1)).
thf(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_dtconstr,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ ( k3_finseq_2 @ A ) ) ) ) ) => ( ~ ( v2_struct_0 @ ( g1_lang1 @ A @ B ) ) & ( v1_lang1 @ ( g1_lang1 @ A @ B ) ) ) ) ),file(dtconstr,fc1_dtconstr)).
thf(fc1_finset_1,axiom,( ! [A: $i] : ( v1_finset_1 @ ( k1_tarski @ A ) ) ),file(finset_1,fc1_finset_1)).
thf(fc1_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_funct_1 @ ( k1_tarski @ ( k4_tarski @ A @ B ) ) ) ),file(funct_1,fc1_funct_1)).
thf(fc1_msaterm,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) ) => ~ ( v1_xboole_0 @ ( k1_msaterm @ A @ B ) ) ) ),file(msaterm,fc1_msaterm)).
thf(fc1_msualg_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( l1_struct_0 @ A ) & ( v4_msualg_1 @ B @ A ) & ( l2_msualg_1 @ B @ A ) ) => ( ( v1_relat_1 @ ( u3_msualg_1 @ A @ B ) ) & ( v2_relat_1 @ ( u3_msualg_1 @ A @ B ) ) & ( v4_relat_1 @ ( u3_msualg_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ ( u3_msualg_1 @ A @ B ) ) & ( v1_partfun1 @ ( u3_msualg_1 @ A @ B ) @ ( u1_struct_0 @ A ) ) ) ) ),file(msualg_1,fc1_msualg_1)).
thf(fc1_msualg_2,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 ) & ( v2_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ A ) ) => ( ( v1_relat_1 @ ( k2_pboole @ A @ B @ C ) ) & ( v2_relat_1 @ ( k2_pboole @ A @ B @ C ) ) & ( v4_relat_1 @ ( k2_pboole @ A @ B @ C ) @ A ) & ( v1_funct_1 @ ( k2_pboole @ A @ B @ C ) ) & ( v1_partfun1 @ ( k2_pboole @ A @ B @ C ) @ A ) ) ) ),file(msualg_2,fc1_msualg_2)).
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_trees_1,axiom,( v1_trees_1 @ ( k1_tarski @ k1_xboole_0 ) ),file(trees_1,fc1_trees_1)).
thf(fc1_trees_9,axiom,( ! [A: $i] : ( ( v1_relat_1 @ ( k1_trees_4 @ A ) ) & ( v1_zfmisc_1 @ ( k1_trees_4 @ A ) ) & ( v1_funct_1 @ ( k1_trees_4 @ A ) ) & ( v1_finset_1 @ ( k1_trees_4 @ A ) ) & ( v3_trees_2 @ ( k1_trees_4 @ A ) ) ) ),file(trees_9,fc1_trees_9)).
thf(fc1_xboole_0,axiom,( v1_xboole_0 @ k1_xboole_0 ),file(xboole_0,fc1_xboole_0)).
thf(fc1_xtuple_0,axiom,( ! [A: $i] : ! [B: $i] : ( v1_xtuple_0 @ ( k4_tarski @ A @ B ) ) ),file(xtuple_0,fc1_xtuple_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(fc22_finseq_1,axiom,( ! [A: $i] : ( v4_funct_1 @ ( k13_finseq_1 @ A ) ) ),file(finseq_1,fc22_finseq_1)).
thf(fc22_finset_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_finset_1 @ A ) ) => ( v1_finset_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(finset_1,fc22_finset_1)).
thf(fc25_relat_1,axiom,( ! [A: $i] : ( ( ( v1_zfmisc_1 @ A ) & ( v1_relat_1 @ A ) ) => ( v1_zfmisc_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(relat_1,fc25_relat_1)).
thf(fc27_finseq_1,axiom,( ! [A: $i] : ( v3_finseq_1 @ ( k13_finseq_1 @ A ) ) ),file(finseq_1,fc27_finseq_1)).
thf(fc29_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( v3_finseq_1 @ A ) & ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) ) => ( v1_finseq_1 @ ( k1_funct_1 @ B @ C ) ) ) ),file(finseq_1,fc29_finseq_1)).
thf(fc2_dtconstr,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v1_dtconstr @ A ) & ( l1_lang1 @ A ) ) => ~ ( v1_xboole_0 @ ( k4_dtconstr @ A ) ) ) ),file(dtconstr,fc2_dtconstr)).
thf(fc2_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_finset_1 @ ( k2_tarski @ A @ B ) ) ),file(finset_1,fc2_finset_1)).
thf(fc2_msualg_2,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 ) & ( v2_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ A ) ) => ( ( v1_relat_1 @ ( k2_pboole @ A @ C @ B ) ) & ( v2_relat_1 @ ( k2_pboole @ A @ C @ B ) ) & ( v4_relat_1 @ ( k2_pboole @ A @ C @ B ) @ A ) & ( v1_funct_1 @ ( k2_pboole @ A @ C @ B ) ) & ( v1_partfun1 @ ( k2_pboole @ A @ C @ B ) @ A ) ) ) ),file(msualg_2,fc2_msualg_2)).
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(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_xboole_0,axiom,( ! [A: $i] : ~ ( v1_xboole_0 @ ( k1_tarski @ A ) ) ),file(xboole_0,fc2_xboole_0)).
thf(fc30_finset_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( v5_finset_1 @ ( k1_tarski @ A ) ) ) ),file(finset_1,fc30_finset_1)).
thf(fc31_finset_1,axiom,( ! [A: $i] : ( ( v1_finset_1 @ A ) => ( v5_finset_1 @ ( k1_zfmisc_1 @ A ) ) ) ),file(finset_1,fc31_finset_1)).
thf(fc32_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_finset_1 @ A ) & ( v1_finset_1 @ B ) ) => ( v5_finset_1 @ ( k2_tarski @ A @ B ) ) ) ),file(finset_1,fc32_finset_1)).
thf(fc35_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_finset_1 @ A ) ) => ( v1_finset_1 @ ( k1_funct_1 @ A @ B ) ) ) ),file(finset_1,fc35_finset_1)).
thf(fc36_finset_1,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v2_finset_1 @ A ) ) => ( v5_finset_1 @ ( k10_xtuple_0 @ A ) ) ) ),file(finset_1,fc36_finset_1)).
thf(fc3_dtconstr,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v3_dtconstr @ A ) & ( l1_lang1 @ A ) ) => ~ ( v1_xboole_0 @ ( k4_dtconstr @ A ) ) ) ),file(dtconstr,fc3_dtconstr)).
thf(fc3_xboole_0,axiom,( ! [A: $i] : ! [B: $i] : ~ ( v1_xboole_0 @ ( k2_tarski @ A @ B ) ) ),file(xboole_0,fc3_xboole_0)).
thf(fc5_msafree,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) ) => ( ~ ( v2_struct_0 @ ( k5_msafree @ A @ B ) ) & ( v1_lang1 @ ( k5_msafree @ A @ B ) ) ) ) ),file(msafree,fc5_msafree)).
thf(fc5_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k1_tarski @ ( k4_tarski @ A @ B ) ) ) ),file(relat_1,fc5_relat_1)).
thf(fc5_xtuple_0,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( v1_xboole_0 @ ( k10_xtuple_0 @ A ) ) ) ),file(xtuple_0,fc5_xtuple_0)).
thf(fc6_msafree,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) ) => ( ( v1_dtconstr @ ( k5_msafree @ A @ B ) ) & ( v2_dtconstr @ ( k5_msafree @ A @ B ) ) & ( v3_dtconstr @ ( k5_msafree @ A @ B ) ) ) ) ),file(msafree,fc6_msafree)).
thf(fc6_ordinal1,axiom,( ~ ( v1_xboole_0 @ k4_ordinal1 ) & ( v3_ordinal1 @ k4_ordinal1 ) ),file(ordinal1,fc6_ordinal1)).
thf(fc6_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ( v1_relat_1 @ ( k2_zfmisc_1 @ A @ B ) ) ),file(relat_1,fc6_relat_1)).
thf(fc6_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v7_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ~ ( v1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) ),file(struct_0,fc6_struct_0)).
thf(fc7_relat_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( v1_relat_1 @ ( k2_tarski @ ( k4_tarski @ A @ B ) @ ( k4_tarski @ C @ D ) ) ) ),file(relat_1,fc7_relat_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_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_relat_1,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) ) => ~ ( v1_xboole_0 @ ( k10_xtuple_0 @ A ) ) ) ),file(relat_1,fc9_relat_1)).
thf(fc9_relset_1,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ! [D: $i] : ( ( m1_subset_1 @ D @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ ( k2_zfmisc_1 @ B @ C ) ) ) ) => ( v1_relat_1 @ ( k10_xtuple_0 @ D ) ) ) ),file(relset_1,fc9_relset_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(fc9_trees_9,axiom,( ! [A: $i] : ( ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_trees_2 @ A ) ) => ( v3_trees_3 @ ( k1_tarski @ A ) ) ) ),file(trees_9,fc9_trees_9)).
thf(free_g1_lang1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ ( k3_finseq_2 @ A ) ) ) ) => ! [C: $i] : ! [D: $i] : ( ( = @ ( g1_lang1 @ A @ B ) @ ( g1_lang1 @ C @ D ) ) => ( ( = @ A @ C ) & ( = @ B @ D ) ) ) ) ),file(lang1,g1_lang1)).
thf(idempotence_k2_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 ) ) => ( = @ ( k2_pboole @ A @ B @ B ) @ B ) ) ),file(pboole,k2_pboole)).
thf(l7_msaterm,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) ) => ! [B: $i] : ( ( l3_msualg_1 @ B @ A ) => ! [C: $i] : ( ( ( v1_relat_1 @ C ) & ( v2_relat_1 @ C ) & ( v4_relat_1 @ C @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ C ) & ( v1_partfun1 @ C @ ( u1_struct_0 @ A ) ) ) => ! [D: $i] : ( ~ ( ( r2_hidden @ D @ ( k6_dtconstr @ ( k5_msafree @ A @ ( k2_pboole @ ( u1_struct_0 @ A ) @ ( u3_msualg_1 @ A @ B ) @ C ) ) ) ) & ! [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ A ) ) => ! [F: $i] : ~ ( ( r2_hidden @ F @ ( k1_funct_1 @ ( u3_msualg_1 @ A @ B ) @ E ) ) & ( = @ D @ ( k4_tarski @ F @ E ) ) ) ) & ! [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ A ) ) => ! [F: $i] : ( ( m1_subset_1 @ F @ ( k1_funct_1 @ C @ E ) ) => ~ ( = @ D @ ( k4_tarski @ F @ E ) ) ) ) ) & ! [E: $i] : ( ( m1_subset_1 @ E @ ( u1_struct_0 @ A ) ) => ( ! [F: $i] : ( ( ( r2_hidden @ F @ ( k1_funct_1 @ ( u3_msualg_1 @ A @ B ) @ E ) ) & ( = @ D @ ( k4_tarski @ F @ E ) ) ) => ( r2_hidden @ D @ ( k6_dtconstr @ ( k5_msafree @ A @ ( k2_pboole @ ( u1_struct_0 @ A ) @ ( u3_msualg_1 @ A @ B ) @ C ) ) ) ) ) & ! [F: $i] : ( ( m1_subset_1 @ F @ ( k1_funct_1 @ C @ E ) ) => ( ( = @ D @ ( k4_tarski @ F @ E ) ) => ( r2_hidden @ D @ ( k6_dtconstr @ ( k5_msafree @ A @ ( k2_pboole @ ( u1_struct_0 @ A ) @ ( u3_msualg_1 @ A @ B ) @ C ) ) ) ) ) ) ) ) ) ) ) ) ),file(msaterm,l7_msaterm)).
thf(l8_msaterm,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) ) => ! [B: $i] : ( ( ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) ) => ! [C: $i] : ( ( m2_subset_1 @ C @ ( u1_struct_0 @ ( k5_msafree @ A @ B ) ) @ ( k7_dtconstr @ ( k5_msafree @ A @ B ) ) ) <=> ( r2_hidden @ C @ ( k2_zfmisc_1 @ ( u4_struct_0 @ A ) @ ( k1_tarski @ ( u1_struct_0 @ A ) ) ) ) ) ) ) ),file(msaterm,l8_msaterm)).
thf(rc1_dtconstr,axiom,( ? [A: $i] : ( ( l1_lang1 @ A ) & ~ ( v2_struct_0 @ A ) & ( v1_lang1 @ A ) & ( v1_dtconstr @ A ) & ( v2_dtconstr @ A ) & ( v3_dtconstr @ A ) ) ),file(dtconstr,rc1_dtconstr)).
thf(rc1_finseq_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ k5_numbers @ A ) ) ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_finseq_1 @ B ) ) ),file(finseq_1,rc1_finseq_1)).
thf(rc1_finset_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) ) ),file(finset_1,rc1_finset_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_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_trees_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_trees_1 @ A ) ) ),file(trees_1,rc1_trees_1)).
thf(rc1_trees_2,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_trees_1 @ A ) & ( v1_trees_2 @ A ) ) ),file(trees_2,rc1_trees_2)).
thf(rc1_trees_3,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_trees_3 @ A ) & ( v2_trees_3 @ A ) ) ),file(trees_3,rc1_trees_3)).
thf(rc1_trees_9,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_zfmisc_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_trees_2 @ A ) ) ),file(trees_9,rc1_trees_9)).
thf(rc1_xboole_0,axiom,( ? [A: $i] : ( v1_xboole_0 @ A ) ),file(xboole_0,rc1_xboole_0)).
thf(rc1_xreal_0,axiom,( ? [A: $i] : ( v1_xreal_0 @ A ) ),file(xreal_0,rc1_xreal_0)).
thf(rc1_xtuple_0,axiom,( ? [A: $i] : ( v1_xtuple_0 @ A ) ),file(xtuple_0,rc1_xtuple_0)).
thf(rc21_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_zfmisc_1 @ B ) ) ) ),file(struct_0,rc21_struct_0)).
thf(rc22_struct_0,axiom,( ! [A: $i] : ( ( ~ ( v7_struct_0 @ A ) & ( l1_struct_0 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ ( u1_struct_0 @ A ) ) ) & ~ ( v1_zfmisc_1 @ B ) ) ) ),file(struct_0,rc22_struct_0)).
thf(rc25_struct_0,axiom,( ? [A: $i] : ( ( l5_struct_0 @ A ) & ~ ( v15_struct_0 @ A ) ) ),file(struct_0,rc25_struct_0)).
thf(rc2_finseq_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( m1_finseq_1 @ B @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_xboole_0 @ B ) & ( v1_finset_1 @ B ) & ( v1_finseq_1 @ B ) ) ),file(finseq_1,rc2_finseq_1)).
thf(rc2_finset_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_xboole_0 @ B ) & ( v1_finset_1 @ B ) ) ) ),file(finset_1,rc2_finset_1)).
thf(rc2_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_funct_1 @ A ) ) ),file(funct_1,rc2_funct_1)).
thf(rc2_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_ordinal1 @ A ) & ( v2_ordinal1 @ A ) & ( v3_ordinal1 @ A ) ) ),file(ordinal1,rc2_ordinal1)).
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(rc2_trees_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_trees_1 @ A ) ) ),file(trees_1,rc2_trees_1)).
thf(rc2_trees_3,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) & ( v3_trees_3 @ A ) ) ),file(trees_3,rc2_trees_3)).
thf(rc2_trees_9,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ~ ( v1_zfmisc_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v3_trees_2 @ A ) ) ),file(trees_9,rc2_trees_9)).
thf(rc2_xboole_0,axiom,( ? [A: $i] : ~ ( v1_xboole_0 @ A ) ),file(xboole_0,rc2_xboole_0)).
thf(rc2_xreal_0,axiom,( ? [A: $i] : ( ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v2_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) ) ),file(xreal_0,rc2_xreal_0)).
thf(rc3_finseq_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_finseq_1 @ A ) ) ),file(finseq_1,rc3_finseq_1)).
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_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_ordinal1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v5_ordinal1 @ B ) ) ),file(ordinal1,rc3_ordinal1)).
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(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(rc3_trees_9,axiom,( ! [A: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( v1_trees_1 @ A ) ) => ? [B: $i] : ( ( m1_subset_1 @ B @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ k5_numbers ) & ( v1_xboole_0 @ B ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v1_finseq_1 @ B ) & ( v2_finseq_1 @ B ) ) ) ),file(trees_9,rc3_trees_9)).
thf(rc4_finseq_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_finseq_1 @ A ) & ( v2_finseq_1 @ A ) ) ),file(finseq_1,rc4_finseq_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_ordinal1,axiom,( ? [A: $i] : ( v7_ordinal1 @ A ) ),file(ordinal1,rc4_ordinal1)).
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_trees_3,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_trees_3 @ B @ A ) & ( v4_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) & ( v1_finset_1 @ B ) & ( v3_trees_3 @ B ) ) ) ),file(trees_3,rc4_trees_3)).
thf(rc4_xreal_0,axiom,( ? [A: $i] : ( ( v1_xboole_0 @ A ) & ( v1_xcmplx_0 @ A ) & ( v1_xxreal_0 @ A ) & ( v1_xreal_0 @ A ) ) ),file(xreal_0,rc4_xreal_0)).
thf(rc5_finseq_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v2_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_finseq_1 @ A ) & ( v2_finseq_1 @ A ) ) ),file(finseq_1,rc5_finseq_1)).
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_funct_1,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v3_funct_1 @ A ) ) ),file(funct_1,rc5_funct_1)).
thf(rc5_ordinal1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v7_ordinal1 @ A ) ) ),file(ordinal1,rc5_ordinal1)).
thf(rc5_trees_2,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v3_trees_2 @ A ) ) ),file(trees_2,rc5_trees_2)).
thf(rc5_trees_3,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_finseq_1 @ A ) & ( v2_finseq_1 @ A ) & ( v4_trees_3 @ A ) & ( v5_trees_3 @ A ) ) ),file(trees_3,rc5_trees_3)).
thf(rc6_finseq_1,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( m1_finseq_1 @ B @ A ) & ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ~ ( v1_xboole_0 @ B ) & ( v1_finset_1 @ B ) & ( v1_finseq_1 @ B ) & ( v2_finseq_1 @ B ) ) ) ),file(finseq_1,rc6_finseq_1)).
thf(rc6_finset_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ? [C: $i] : ( ~ ( v1_xboole_0 @ C ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) & ( v1_finset_1 @ C ) ) ) ),file(finset_1,rc6_finset_1)).
thf(rc6_funct_1,axiom,( ! [A: $i] : ! [B: $i] : ? [C: $i] : ( ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ( v1_funct_1 @ C ) ) ),file(funct_1,rc6_funct_1)).
thf(rc6_trees_2,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v3_trees_2 @ B ) ) ) ),file(trees_2,rc6_trees_2)).
thf(rc6_trees_3,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v4_relat_1 @ A @ k5_numbers ) & ( v1_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v1_finset_1 @ A ) & ( v1_finseq_1 @ A ) & ( v2_finseq_1 @ A ) & ( v6_trees_3 @ A ) ) ),file(trees_3,rc6_trees_3)).
thf(rc7_finset_1,axiom,( ! [A: $i] : ( ~ ( v1_zfmisc_1 @ A ) => ? [B: $i] : ( ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) & ~ ( v1_zfmisc_1 @ B ) & ( v1_finset_1 @ B ) ) ) ),file(finset_1,rc7_finset_1)).
thf(rc7_funct_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v4_funct_1 @ A ) ) ),file(funct_1,rc7_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(rc7_trees_2,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v1_finset_1 @ A ) & ( v3_trees_2 @ A ) ) ),file(trees_2,rc7_trees_2)).
thf(rc7_trees_3,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v4_trees_3 @ A ) & ( v5_trees_3 @ A ) ) ),file(trees_3,rc7_trees_3)).
thf(rc8_finseq_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v3_finseq_1 @ A ) ) ),file(finseq_1,rc8_finseq_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(rc8_trees_2,axiom,( ! [A: $i] : ( ~ ( v1_xboole_0 @ A ) => ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v3_trees_2 @ B ) ) ) ),file(trees_2,rc8_trees_2)).
thf(rc8_trees_3,axiom,( ? [A: $i] : ( ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ~ ( v1_xboole_0 @ A ) & ( v6_trees_3 @ A ) ) ),file(trees_3,rc8_trees_3)).
thf(rc9_finseq_1,axiom,( ! [A: $i] : ? [B: $i] : ( ( v1_relat_1 @ B ) & ( v4_relat_1 @ B @ k5_numbers ) & ( v5_relat_1 @ B @ A ) & ( v1_funct_1 @ B ) & ( v1_finset_1 @ B ) & ( v1_finseq_1 @ B ) & ( v2_finseq_1 @ B ) ) ),file(finseq_1,rc9_finseq_1)).
thf(rc9_finset_1,axiom,( ? [A: $i] : ( ~ ( v1_xboole_0 @ A ) & ( v1_relat_1 @ A ) & ( v1_funct_1 @ A ) & ( v2_finset_1 @ A ) ) ),file(finset_1,rc9_finset_1)).
thf(rc9_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(rc9_trees_2,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) ) => ? [C: $i] : ( ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ ( k2_zfmisc_1 @ A @ B ) ) ) & ( v1_relat_1 @ C ) & ( v4_relat_1 @ C @ A ) & ( v5_relat_1 @ C @ B ) & ~ ( v1_xboole_0 @ C ) ) ) ),file(trees_2,rc9_trees_2)).
thf(redefinition_k1_dtconstr,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_trees_3 @ B @ A ) & ( m1_finseq_1 @ C @ B ) ) => ( = @ ( k1_dtconstr @ A @ B @ C ) @ ( k14_trees_3 @ C ) ) ) ),file(dtconstr,k1_dtconstr)).
thf(redefinition_k2_msaterm,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v2_struct_0 @ A ) & ~ ( v11_struct_0 @ A ) & ( l1_msualg_1 @ A ) & ( v1_relat_1 @ B ) & ( v2_relat_1 @ B ) & ( v4_relat_1 @ B @ ( u1_struct_0 @ A ) ) & ( v1_funct_1 @ B ) & ( v1_partfun1 @ B @ ( u1_struct_0 @ A ) ) & ( m1_subset_1 @ C @ ( u4_struct_0 @ A ) ) ) => ( = @ ( k2_msaterm @ A @ B @ C ) @ ( k6_msafree @ A @ B @ C ) ) ) ),file(msaterm,k2_msaterm)).
thf(redefinition_k2_trees_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ A ) ) => ( = @ ( k2_trees_4 @ A @ B ) @ ( k1_trees_4 @ B ) ) ) ),file(trees_4,k2_trees_4)).
thf(redefinition_k3_finseq_2,axiom,( ! [A: $i] : ( = @ ( k3_finseq_2 @ A ) @ ( k13_finseq_1 @ A ) ) ),file(finseq_2,k3_finseq_2)).
thf(redefinition_k5_numbers,axiom,( = @ k5_numbers @ k4_ordinal1 ),file(numbers,k5_numbers)).
thf(redefinition_k6_dtconstr,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v1_dtconstr @ A ) & ( l1_lang1 @ A ) ) => ( = @ ( k6_dtconstr @ A ) @ ( k1_lang1 @ A ) ) ) ),file(dtconstr,k6_dtconstr)).
thf(redefinition_k7_dtconstr,axiom,( ! [A: $i] : ( ( ~ ( v2_struct_0 @ A ) & ( v2_dtconstr @ A ) & ( l1_lang1 @ A ) ) => ( = @ ( k7_dtconstr @ A ) @ ( k2_lang1 @ A ) ) ) ),file(dtconstr,k7_dtconstr)).
thf(redefinition_k8_trees_4,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ A ) & ( m1_finseq_1 @ C @ ( k5_trees_3 @ A ) ) ) => ( = @ ( k8_trees_4 @ A @ B @ C ) @ ( k4_trees_4 @ B @ C ) ) ) ),file(trees_4,k8_trees_4)).
thf(redefinition_m1_dtconstr,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ~ ( v1_xboole_0 @ B ) & ( m1_trees_3 @ B @ A ) & ~ ( v1_xboole_0 @ C ) & ( m1_subset_1 @ C @ ( k1_zfmisc_1 @ B ) ) ) => ! [D: $i] : ( ( m1_dtconstr @ D @ A @ B @ C ) <=> ( m1_subset_1 @ D @ C ) ) ) ),file(dtconstr,m1_dtconstr)).
thf(redefinition_m1_trees_4,axiom,( ! [A: $i] : ! [B: $i] : ( ( ~ ( v1_xboole_0 @ A ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ A ) ) ) => ! [C: $i] : ( ( m1_trees_4 @ C @ A @ B ) <=> ( m1_finseq_1 @ C @ B ) ) ) ),file(trees_4,m1_trees_4)).
thf(redefinition_m2_finseq_1,axiom,( ! [A: $i] : ! [B: $i] : ( ( m2_finseq_1 @ B @ A ) <=> ( m1_finseq_1 @ B @ A ) ) ),file(finseq_1,m2_finseq_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(reflexivity_r1_tarski,axiom,( ! [A: $i] : ! [B: $i] : ( r1_tarski @ A @ A ) ),file(tarski,r1_tarski)).
thf(spc1_boole,axiom,( ~ ( v1_xboole_0 @ np__1 ) ),file(boole,spc1_boole)).
thf(spc1_numerals,axiom,( ( v2_xxreal_0 @ np__1 ) & ( m2_subset_1 @ np__1 @ k1_numbers @ k5_numbers ) & ( m1_subset_1 @ np__1 @ k5_numbers ) & ( m1_subset_1 @ np__1 @ k1_numbers ) ),file(numerals,spc1_numerals)).
thf(t1_domain_1,axiom,( ! [A: $i] : ! [B: $i] : ( ~ ( v1_xboole_0 @ B ) => ! [C: $i] : ( ~ ( v1_xboole_0 @ C ) => ~ ( ( r2_hidden @ A @ ( k2_zfmisc_1 @ B @ C ) ) & ! [D: $i] : ( ( m1_subset_1 @ D @ B ) => ! [E: $i] : ( ( m1_subset_1 @ E @ C ) => ~ ( = @ A @ ( k4_tarski @ D @ E ) ) ) ) ) ) ) ),file(domain_1,t1_domain_1)).
thf(t1_numerals,axiom,( m1_subset_1 @ k1_xboole_0 @ k4_ordinal1 ),file(numerals,t1_numerals)).
thf(t1_subset,axiom,( ! [A: $i] : ! [B: $i] : ( ( r2_hidden @ A @ B ) => ( m1_subset_1 @ A @ B ) ) ),file(subset,t1_subset)).
thf(t2_subset,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ A @ B ) => ( ( v1_xboole_0 @ B ) | ( r2_hidden @ A @ B ) ) ) ),file(subset,t2_subset)).
thf(t3_subset,axiom,( ! [A: $i] : ! [B: $i] : ( ( m1_subset_1 @ A @ ( k1_zfmisc_1 @ B ) ) <=> ( r1_tarski @ A @ B ) ) ),file(subset,t3_subset)).
thf(t4_subset,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ( ( ( r2_hidden @ A @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) ) => ( m1_subset_1 @ A @ C ) ) ),file(subset,t4_subset)).
thf(t5_subset,axiom,( ! [A: $i] : ! [B: $i] : ! [C: $i] : ~ ( ( r2_hidden @ A @ B ) & ( m1_subset_1 @ B @ ( k1_zfmisc_1 @ C ) ) & ( v1_xboole_0 @ C ) ) ),file(subset,t5_subset)).
thf(t6_boole,axiom,( ! [A: $i] : ( ( v1_xboole_0 @ A ) => ( = @ A @ k1_xboole_0 ) ) ),file(boole,t6_boole)).
thf(t7_boole,axiom,( ! [A: $i] : ! [B: $i] : ~ ( ( r2_hidden @ A @ B ) & ( v1_xboole_0 @ B ) ) ),file(boole,t7_boole)).
thf(t8_boole,axiom,( ! [A: $i] : ! [B: $i] : ~ ( ( v1_xboole_0 @ A ) & ~ ( = @ A @ B ) & ( v1_xboole_0 @ B ) ) ),file(boole,t8_boole)).
thf(s7_dtconstr,axiom,( ! [A: $i > $o] : ! [B: $i] : ( ( ! [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) => ( ( r2_hidden @ C @ ( k1_lang1 @ B ) ) => ( A @ ( k2_trees_4 @ ( u1_struct_0 @ B ) @ C ) ) ) ) & ! [C: $i] : ( ( m1_subset_1 @ C @ ( u1_struct_0 @ B ) ) => ! [D: $i] : ( ( m1_trees_4 @ D @ ( k5_trees_3 @ ( u1_struct_0 @ B ) ) @ ( k4_dtconstr @ B ) ) => ( ( ( r1_lang1 @ B @ C @ ( k1_dtconstr @ ( u1_struct_0 @ B ) @ ( k5_trees_3 @ ( u1_struct_0 @ B ) ) @ D ) ) & ! [E: $i] : ( ( ( v1_relat_1 @ E ) & ( v5_relat_1 @ E @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ E ) & ( v3_trees_2 @ E ) ) => ( ( r2_hidden @ E @ ( k10_xtuple_0 @ D ) ) => ( A @ E ) ) ) ) => ( A @ ( k8_trees_4 @ ( u1_struct_0 @ B ) @ C @ D ) ) ) ) ) ) => ! [C: $i] : ( ( ( v1_relat_1 @ C ) & ( v5_relat_1 @ C @ ( u1_struct_0 @ B ) ) & ( v1_funct_1 @ C ) & ( v3_trees_2 @ C ) ) => ( ( r2_hidden @ C @ ( k4_dtconstr @ B ) ) => ( A @ C ) ) ) ) ),file(dtconstr,s7_dtconstr)).
thf(s2_msaterm,conjecture,( ( ! [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ f1_s2_msaterm ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_funct_1 @ ( u3_msualg_1 @ f1_s2_msaterm @ f2_s2_msaterm ) @ A ) ) => ( p1_s2_msaterm @ ( k1_trees_4 @ ( k4_tarski @ B @ A ) ) ) ) ) & ! [A: $i] : ( ( m1_subset_1 @ A @ ( u1_struct_0 @ f1_s2_msaterm ) ) => ! [B: $i] : ( ( m1_subset_1 @ B @ ( k1_funct_1 @ f3_s2_msaterm @ A ) ) => ( p1_s2_msaterm @ ( k1_trees_4 @ ( k4_tarski @ B @ A ) ) ) ) ) & ! [A: $i] : ( ( m1_subset_1 @ A @ ( u4_struct_0 @ f1_s2_msaterm ) ) => ! [B: $i] : ( ( m1_msaterm @ B @ f1_s2_msaterm @ ( k2_pboole @ ( u1_struct_0 @ f1_s2_msaterm ) @ ( u3_msualg_1 @ f1_s2_msaterm @ f2_s2_msaterm ) @ f3_s2_msaterm ) @ ( k2_msaterm @ f1_s2_msaterm @ ( k2_pboole @ ( u1_struct_0 @ f1_s2_msaterm ) @ ( u3_msualg_1 @ f1_s2_msaterm @ f2_s2_msaterm ) @ f3_s2_msaterm ) @ A ) ) => ( ! [C: $i] : ( ( m1_dtconstr @ C @ ( u1_struct_0 @ ( k5_msafree @ f1_s2_msaterm @ ( k2_pboole @ ( u1_struct_0 @ f1_s2_msaterm ) @ ( u3_msualg_1 @ f1_s2_msaterm @ f2_s2_msaterm ) @ f3_s2_msaterm ) ) ) @ ( k5_trees_3 @ ( u1_struct_0 @ ( k5_msafree @ f1_s2_msaterm @ ( k2_pboole @ ( u1_struct_0 @ f1_s2_msaterm ) @ ( u3_msualg_1 @ f1_s2_msaterm @ f2_s2_msaterm ) @ f3_s2_msaterm ) ) ) ) @ ( k1_msaterm @ f1_s2_msaterm @ ( k2_pboole @ ( u1_struct_0 @ f1_s2_msaterm ) @ ( u3_msualg_1 @ f1_s2_msaterm @ f2_s2_msaterm ) @ f3_s2_msaterm ) ) ) => ( ( r2_hidden @ C @ ( k10_xtuple_0 @ B ) ) => ( p1_s2_msaterm @ C ) ) ) => ( p1_s2_msaterm @ ( k8_trees_4 @ ( u1_struct_0 @ ( k5_msafree @ f1_s2_msaterm @ ( k2_pboole @ ( u1_struct_0 @ f1_s2_msaterm ) @ ( u3_msualg_1 @ f1_s2_msaterm @ f2_s2_msaterm ) @ f3_s2_msaterm ) ) ) @ ( k2_msaterm @ f1_s2_msaterm @ ( k2_pboole @ ( u1_struct_0 @ f1_s2_msaterm ) @ ( u3_msualg_1 @ f1_s2_msaterm @ f2_s2_msaterm ) @ f3_s2_msaterm ) @ A ) @ B ) ) ) ) ) ) => ! [A: $i] : ( ( m1_dtconstr @ A @ ( u1_struct_0 @ ( k5_msafree @ f1_s2_msaterm @ ( k2_pboole @ ( u1_struct_0 @ f1_s2_msaterm ) @ ( u3_msualg_1 @ f1_s2_msaterm @ f2_s2_msaterm ) @ f3_s2_msaterm ) ) ) @ ( k5_trees_3 @ ( u1_struct_0 @ ( k5_msafree @ f1_s2_msaterm @ ( k2_pboole @ ( u1_struct_0 @ f1_s2_msaterm ) @ ( u3_msualg_1 @ f1_s2_msaterm @ f2_s2_msaterm ) @ f3_s2_msaterm ) ) ) ) @ ( k1_msaterm @ f1_s2_msaterm @ ( k2_pboole @ ( u1_struct_0 @ f1_s2_msaterm ) @ ( u3_msualg_1 @ f1_s2_msaterm @ f2_s2_msaterm ) @ f3_s2_msaterm ) ) ) => ( p1_s2_msaterm @ A ) ) ),file(msaterm,s2_msaterm)).
thf(sethood_m1_subset_1,axiom,( ! [A: $i] : ( sethood @ ^ [X: $i] : ( m1_subset_1 @ X @ A ) ) ),file(subset_1,m1_subset_1)).
