%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT302+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:42 AM UTC 2026
% Result : Theorem 3.79s 1.50s
% Output : Refutation 3.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 36
% Syntax : Number of formulae : 243 ( 39 unt; 16 def)
% Number of atoms : 836 ( 58 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 997 ( 404 ~; 437 |; 106 &)
% ( 25 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 16 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 1 con; 0-3 aty)
% Number of variables : 153 ( 0 sgn 151 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
=> m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t26_filter_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
=> m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(X0)
=> X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abstractness_v3_lattices) ).
fof(f13,axiom,
! [X0] :
( l3_lattices(X0)
=> k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_lattice2) ).
fof(f15,axiom,
! [X0] :
( l3_lattices(X0)
=> ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_lattice2) ).
fof(f22,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l2_lattices(X0) )
=> m1_subset_1(k6_lattices(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_lattices) ).
fof(f25,axiom,
! [X0] :
( l2_lattices(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l2_lattices) ).
fof(f26,axiom,
! [X0] :
( l3_lattices(X0)
=> ( l1_lattices(X0)
& l2_lattices(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l3_lattices) ).
fof(f34,axiom,
! [X0] :
( l1_lattices(X0)
=> ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_lattices) ).
fof(f36,axiom,
! [X0] :
( l2_lattices(X0)
=> ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u2_lattices) ).
fof(f48,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_lattice2) ).
fof(f49,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f60,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc6_lattice2) ).
fof(f61,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X2)
& v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
& m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) )
=> ! [X3,X4,X5] :
( g3_lattices(X0,X1,X2) = g3_lattices(X3,X4,X5)
=> ( X0 = X3
& X1 = X4
& X2 = X5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g3_lattices) ).
fof(f78,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> k6_domain_1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(f79,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m1_filter_2) ).
fof(f80,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f82,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v14_lattices(X0)
& l3_lattices(X0) )
=> m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t13_filter_0) ).
fof(f84,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t21_filter_2) ).
fof(f89,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) )
=> ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_lattice2) ).
fof(f91,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v10_lattices(X0)
& v13_lattices(X0)
& l3_lattices(X0) )
=> k5_lattices(X0) = k6_lattices(k1_lattice2(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t78_lattice2) ).
fof(f110,plain,
? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f111,plain,
? [X0] :
( ~ m2_filter_2(k6_domain_1(u1_struct_0(X0),k5_lattices(X0)),X0)
& v13_lattices(X0)
& ~ v3_struct_0(X0)
& v10_lattices(X0)
& l3_lattices(X0) ),
inference(flattening,[],[f110]) ).
fof(f112,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f113,plain,
! [X0] :
( k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v13_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f112]) ).
fof(f116,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f117,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f119,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f118]) ).
fof(f122,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f123,plain,
! [X0] :
( ( v13_lattices(X0)
<=> v14_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f122]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( m2_filter_2(X1,X0)
<=> m1_filter_2(X1,k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f128]) ).
fof(f136,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f137,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( X0 = X3
& X1 = X4
& X2 = X5 )
| g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(flattening,[],[f136]) ).
fof(f138,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0))
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f139,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f140,plain,
! [X0] :
( X0 = g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0))
| ~ v3_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f142,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f141]) ).
fof(f143,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f144,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0)) )
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ( v3_lattices(k1_lattice2(X0))
& l3_lattices(k1_lattice2(X0)) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f146,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f147,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(flattening,[],[f146]) ).
fof(f152,plain,
! [X0] :
( ( v1_funct_1(u1_lattices(X0))
& v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l1_lattices(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f153,plain,
! [X0] :
( ( l1_lattices(X0)
& l2_lattices(X0) )
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( m1_filter_2(X1,X0)
<=> m1_filter_0(X1,X0) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(flattening,[],[f155]) ).
fof(f187,plain,
! [X0] :
( ( v1_funct_1(u2_lattices(X0))
& v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) )
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f188,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f192,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f193,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f192]) ).
fof(f195,definition,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f196,plain,
! [X0] :
( sP0(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(definition_folding,[],[f142,f195]) ).
fof(f197,plain,
( ~ m2_filter_2(k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)),sK1)
& v13_lattices(sK1)
& ~ v3_struct_0(sK1)
& v10_lattices(sK1)
& l3_lattices(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X0,sK1)],[f111]) ).
fof(f199,plain,
! [X0] :
( ( ( v13_lattices(X0)
| ~ v14_lattices(k1_lattice2(X0)) )
& ( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( m2_filter_2(X1,X0)
| ~ m1_filter_2(X1,k1_lattice2(X0)) )
& ( m1_filter_2(X1,k1_lattice2(X0))
| ~ m2_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f203,plain,
! [X0] :
( ( ~ v3_struct_0(k1_lattice2(X0))
& v3_lattices(k1_lattice2(X0))
& v4_lattices(k1_lattice2(X0))
& v5_lattices(k1_lattice2(X0))
& v6_lattices(k1_lattice2(X0))
& v7_lattices(k1_lattice2(X0))
& v8_lattices(k1_lattice2(X0))
& v9_lattices(k1_lattice2(X0))
& v10_lattices(k1_lattice2(X0)) )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f195]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ( m1_filter_2(X1,X0)
| ~ m1_filter_0(X1,X0) )
& ( m1_filter_0(X1,X0)
| ~ m1_filter_2(X1,X0) ) )
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(nnf_transformation,[],[f156]) ).
fof(f218,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f229,plain,
l3_lattices(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f230,plain,
v10_lattices(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f231,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f232,plain,
v13_lattices(sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f233,plain,
~ m2_filter_2(k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)),sK1),
inference(cnf_transformation,[],[f197]) ).
fof(f234,plain,
! [X0] :
( ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| k5_lattices(X0) = k6_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f236,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f237,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k6_domain_1(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f119]) ).
fof(f240,plain,
! [X0] :
( v14_lattices(k1_lattice2(X0))
| ~ v13_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f261,plain,
! [X0,X1] :
( ~ m1_filter_2(X1,k1_lattice2(X0))
| m2_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f201]) ).
fof(f269,plain,
! [X2,X3,X0,X1,X4,X5] :
( g3_lattices(X0,X1,X2) != g3_lattices(X3,X4,X5)
| X0 = X3
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,k2_zfmisc_1(X0,X0),X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X0,X0),X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f270,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(X0),u1_lattices(X0),u2_lattices(X0)) ),
inference(cnf_transformation,[],[f138]) ).
fof(f271,plain,
! [X0] :
( ~ v3_lattices(X0)
| g3_lattices(u1_struct_0(X0),u2_lattices(X0),u1_lattices(X0)) = X0
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f272,plain,
! [X0] :
( v10_lattices(k1_lattice2(X0))
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f281,plain,
! [X0] :
( ~ l3_lattices(X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| sP0(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f283,plain,
! [X0] :
( ~ v3_struct_0(k1_lattice2(X0))
| v3_struct_0(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f284,plain,
! [X0] :
( l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f285,plain,
! [X0] :
( v3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f286,plain,
! [X0] :
( m1_subset_1(k6_lattices(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f293,plain,
! [X0] :
( m2_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f294,plain,
! [X0] :
( v1_funct_2(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f295,plain,
! [X0] :
( v1_funct_1(u1_lattices(X0))
| ~ l1_lattices(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f296,plain,
! [X0] :
( ~ l3_lattices(X0)
| l2_lattices(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f297,plain,
! [X0] :
( ~ l3_lattices(X0)
| l1_lattices(X0) ),
inference(cnf_transformation,[],[f153]) ).
fof(f300,plain,
! [X0,X1] :
( ~ m1_filter_0(X1,X0)
| m1_filter_2(X1,X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ l3_lattices(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f356,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f218]) ).
fof(f359,plain,
! [X0] :
( m2_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f360,plain,
! [X0] :
( v1_funct_2(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f361,plain,
! [X0] :
( v1_funct_1(u2_lattices(X0))
| ~ l2_lattices(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f363,plain,
! [X0] :
( ~ l2_lattices(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f373,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f380,plain,
! [X0] :
( m1_filter_0(k6_domain_1(u1_struct_0(X0),k6_lattices(X0)),X0)
| v3_struct_0(X0)
| ~ v10_lattices(X0)
| ~ v14_lattices(X0)
| ~ l3_lattices(X0) ),
inference(duplicate_literal_removal,[],[f236]) ).
fof(f381,plain,
l2_lattices(sK1),
inference(resolution,[],[f296,f229]) ).
fof(f387,plain,
l1_lattices(sK1),
inference(resolution,[],[f297,f229]) ).
fof(f420,plain,
! [X0] :
( l2_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(resolution,[],[f284,f296]) ).
fof(f441,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| sP0(sK1) ),
inference(resolution,[],[f281,f229]) ).
fof(f476,plain,
( ~ v10_lattices(sK1)
| sP0(sK1) ),
inference(forward_subsumption_resolution,[],[f441,f231]) ).
fof(f488,plain,
sP0(sK1),
inference(forward_subsumption_resolution,[],[f476,f230]) ).
fof(f609,plain,
k1_lattice2(sK1) = g3_lattices(u1_struct_0(sK1),u1_lattices(sK1),u2_lattices(sK1)),
inference(resolution,[],[f270,f229]) ).
fof(f615,plain,
! [X0] :
( m1_relset_1(u1_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_lattices(X0) ),
inference(resolution,[],[f293,f356]) ).
fof(f630,plain,
! [X0] :
( m1_relset_1(u2_lattices(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l2_lattices(X0) ),
inference(resolution,[],[f359,f356]) ).
fof(f643,plain,
! [X0] :
( k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0)))
| ~ l3_lattices(k1_lattice2(X0))
| ~ l3_lattices(X0) ),
inference(resolution,[],[f271,f285]) ).
fof(f653,plain,
! [X0] :
( ~ l3_lattices(X0)
| k1_lattice2(X0) = g3_lattices(u1_struct_0(k1_lattice2(X0)),u2_lattices(k1_lattice2(X0)),u1_lattices(k1_lattice2(X0))) ),
inference(forward_subsumption_resolution,[],[f643,f284]) ).
fof(f654,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| k5_lattices(sK1) = k6_lattices(k1_lattice2(sK1))
| ~ l3_lattices(sK1) ),
inference(resolution,[],[f234,f232]) ).
fof(f657,plain,
( ~ v10_lattices(sK1)
| k5_lattices(sK1) = k6_lattices(k1_lattice2(sK1))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f654,f231]) ).
fof(f659,plain,
( k5_lattices(sK1) = k6_lattices(k1_lattice2(sK1))
| ~ l3_lattices(sK1) ),
inference(forward_subsumption_resolution,[],[f657,f230]) ).
fof(f661,plain,
k5_lattices(sK1) = k6_lattices(k1_lattice2(sK1)),
inference(forward_subsumption_resolution,[],[f659,f229]) ).
fof(f662,plain,
( m1_subset_1(k5_lattices(sK1),u1_struct_0(k1_lattice2(sK1)))
| v3_struct_0(k1_lattice2(sK1))
| ~ l2_lattices(k1_lattice2(sK1)) ),
inference(superposition,[],[f286,f661]) ).
fof(f664,definition,
( spl28_9
<=> l2_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_9])],[avatar_definition]) ).
fof(f665,plain,
( l2_lattices(k1_lattice2(sK1))
| ~ spl28_9 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f666,plain,
( ~ l2_lattices(k1_lattice2(sK1))
| spl28_9 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f668,definition,
( spl28_10
<=> v3_struct_0(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_10])],[avatar_definition]) ).
fof(f669,plain,
( ~ v3_struct_0(k1_lattice2(sK1))
| spl28_10 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f670,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ spl28_10 ),
inference(avatar_component_clause,[],[f668]) ).
fof(f672,definition,
( spl28_11
<=> m1_subset_1(k5_lattices(sK1),u1_struct_0(k1_lattice2(sK1))) ),
introduced(definition,[new_symbols(definition,[spl28_11])],[avatar_definition]) ).
fof(f674,plain,
( m1_subset_1(k5_lattices(sK1),u1_struct_0(k1_lattice2(sK1)))
| ~ spl28_11 ),
inference(avatar_component_clause,[],[f672]) ).
fof(f675,plain,
( ~ spl28_9
| spl28_10
| spl28_11 ),
inference(avatar_split_clause,[],[f662,f672,f668,f664]) ).
fof(f678,plain,
( ~ l3_lattices(sK1)
| spl28_9 ),
inference(resolution,[],[f666,f420]) ).
fof(f679,plain,
( $false
| spl28_9 ),
inference(forward_subsumption_resolution,[],[f678,f229]) ).
fof(f680,plain,
spl28_9,
inference(avatar_contradiction_clause,[],[f679]) ).
fof(f683,plain,
( l1_struct_0(k1_lattice2(sK1))
| ~ spl28_9 ),
inference(resolution,[],[f665,f363]) ).
fof(f686,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ v14_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1)) ),
inference(superposition,[],[f380,f661]) ).
fof(f689,plain,
( v3_struct_0(sK1)
| ~ l3_lattices(sK1)
| ~ spl28_10 ),
inference(resolution,[],[f670,f283]) ).
fof(f693,plain,
( ~ l3_lattices(sK1)
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f689,f231]) ).
fof(f694,plain,
( $false
| ~ spl28_10 ),
inference(forward_subsumption_resolution,[],[f693,f229]) ).
fof(f695,plain,
~ spl28_10,
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f696,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)),k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ v14_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| spl28_10 ),
inference(forward_subsumption_resolution,[],[f686,f669]) ).
fof(f698,definition,
( spl28_12
<=> l3_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_12])],[avatar_definition]) ).
fof(f699,plain,
( l3_lattices(k1_lattice2(sK1))
| ~ spl28_12 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f700,plain,
( ~ l3_lattices(k1_lattice2(sK1))
| spl28_12 ),
inference(avatar_component_clause,[],[f698]) ).
fof(f702,definition,
( spl28_13
<=> v14_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_13])],[avatar_definition]) ).
fof(f704,plain,
( ~ v14_lattices(k1_lattice2(sK1))
| spl28_13 ),
inference(avatar_component_clause,[],[f702]) ).
fof(f706,definition,
( spl28_14
<=> v10_lattices(k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_14])],[avatar_definition]) ).
fof(f707,plain,
( v10_lattices(k1_lattice2(sK1))
| ~ spl28_14 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f708,plain,
( ~ v10_lattices(k1_lattice2(sK1))
| spl28_14 ),
inference(avatar_component_clause,[],[f706]) ).
fof(f710,definition,
( spl28_15
<=> m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)),k1_lattice2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_15])],[avatar_definition]) ).
fof(f712,plain,
( m1_filter_0(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)),k1_lattice2(sK1))
| ~ spl28_15 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f713,plain,
( ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| spl28_15
| spl28_10 ),
inference(avatar_split_clause,[],[f696,f668,f710,f706,f702,f698]) ).
fof(f720,plain,
( ~ l3_lattices(sK1)
| spl28_12 ),
inference(resolution,[],[f700,f284]) ).
fof(f721,plain,
( $false
| spl28_12 ),
inference(forward_subsumption_resolution,[],[f720,f229]) ).
fof(f722,plain,
spl28_12,
inference(avatar_contradiction_clause,[],[f721]) ).
fof(f779,plain,
( ~ v13_lattices(sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl28_13 ),
inference(resolution,[],[f704,f240]) ).
fof(f780,plain,
( v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl28_13 ),
inference(forward_subsumption_resolution,[],[f779,f232]) ).
fof(f781,plain,
( ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl28_13 ),
inference(forward_subsumption_resolution,[],[f780,f231]) ).
fof(f782,plain,
( ~ l3_lattices(sK1)
| spl28_13 ),
inference(forward_subsumption_resolution,[],[f781,f230]) ).
fof(f783,plain,
( $false
| spl28_13 ),
inference(forward_subsumption_resolution,[],[f782,f229]) ).
fof(f784,plain,
spl28_13,
inference(avatar_contradiction_clause,[],[f783]) ).
fof(f909,definition,
( spl28_51
<=> m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_51])],[avatar_definition]) ).
fof(f910,plain,
( m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl28_51 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f911,plain,
( ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl28_51 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f913,definition,
( spl28_52
<=> v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_52])],[avatar_definition]) ).
fof(f914,plain,
( v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl28_52 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f915,plain,
( ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl28_52 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f917,definition,
( spl28_53
<=> v1_funct_1(u2_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_53])],[avatar_definition]) ).
fof(f918,plain,
( v1_funct_1(u2_lattices(sK1))
| ~ spl28_53 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f919,plain,
( ~ v1_funct_1(u2_lattices(sK1))
| spl28_53 ),
inference(avatar_component_clause,[],[f917]) ).
fof(f921,definition,
( spl28_54
<=> m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_54])],[avatar_definition]) ).
fof(f922,plain,
( m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl28_54 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f923,plain,
( ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl28_54 ),
inference(avatar_component_clause,[],[f921]) ).
fof(f925,definition,
( spl28_55
<=> v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_55])],[avatar_definition]) ).
fof(f926,plain,
( v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ spl28_55 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f927,plain,
( ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| spl28_55 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f929,definition,
( spl28_56
<=> v1_funct_1(u1_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_56])],[avatar_definition]) ).
fof(f930,plain,
( v1_funct_1(u1_lattices(sK1))
| ~ spl28_56 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f931,plain,
( ~ v1_funct_1(u1_lattices(sK1))
| spl28_56 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f960,plain,
( ~ sP0(sK1)
| spl28_14 ),
inference(resolution,[],[f708,f272]) ).
fof(f961,plain,
( $false
| spl28_14 ),
inference(forward_subsumption_resolution,[],[f960,f488]) ).
fof(f962,plain,
spl28_14,
inference(avatar_contradiction_clause,[],[f961]) ).
fof(f963,plain,
! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0
| ~ v1_funct_1(u1_lattices(sK1))
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) ),
inference(superposition,[],[f269,f609]) ).
fof(f1006,plain,
( ~ l1_lattices(sK1)
| spl28_56 ),
inference(resolution,[],[f931,f295]) ).
fof(f1007,plain,
( $false
| spl28_56 ),
inference(forward_subsumption_resolution,[],[f1006,f387]) ).
fof(f1008,plain,
spl28_56,
inference(avatar_contradiction_clause,[],[f1007]) ).
fof(f1099,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
| k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)) = k1_tarski(k5_lattices(sK1))
| ~ spl28_11 ),
inference(resolution,[],[f674,f237]) ).
fof(f1101,definition,
( spl28_76
<=> k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)) = k1_tarski(k5_lattices(sK1)) ),
introduced(definition,[new_symbols(definition,[spl28_76])],[avatar_definition]) ).
fof(f1103,plain,
( k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)) = k1_tarski(k5_lattices(sK1))
| ~ spl28_76 ),
inference(avatar_component_clause,[],[f1101]) ).
fof(f1105,definition,
( spl28_77
<=> v1_xboole_0(u1_struct_0(k1_lattice2(sK1))) ),
introduced(definition,[new_symbols(definition,[spl28_77])],[avatar_definition]) ).
fof(f1107,plain,
( v1_xboole_0(u1_struct_0(k1_lattice2(sK1)))
| ~ spl28_77 ),
inference(avatar_component_clause,[],[f1105]) ).
fof(f1108,plain,
( spl28_76
| spl28_77
| ~ spl28_11 ),
inference(avatar_split_clause,[],[f1099,f672,f1105,f1101]) ).
fof(f1111,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)),k1_lattice2(sK1))
| v3_struct_0(k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| ~ spl28_15 ),
inference(resolution,[],[f712,f300]) ).
fof(f1114,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)),k1_lattice2(sK1))
| ~ v10_lattices(k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| spl28_10
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f1111,f669]) ).
fof(f1116,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)),k1_lattice2(sK1))
| ~ l3_lattices(k1_lattice2(sK1))
| spl28_10
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f1114,f707]) ).
fof(f1118,plain,
( m1_filter_2(k6_domain_1(u1_struct_0(k1_lattice2(sK1)),k5_lattices(sK1)),k1_lattice2(sK1))
| spl28_10
| ~ spl28_12
| ~ spl28_14
| ~ spl28_15 ),
inference(forward_subsumption_resolution,[],[f1116,f699]) ).
fof(f1120,plain,
( m1_filter_2(k1_tarski(k5_lattices(sK1)),k1_lattice2(sK1))
| spl28_10
| ~ spl28_12
| ~ spl28_14
| ~ spl28_15
| ~ spl28_76 ),
inference(forward_demodulation,[],[f1118,f1103]) ).
fof(f1123,plain,
( m2_filter_2(k1_tarski(k5_lattices(sK1)),sK1)
| v3_struct_0(sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl28_10
| ~ spl28_12
| ~ spl28_14
| ~ spl28_15
| ~ spl28_76 ),
inference(resolution,[],[f1120,f261]) ).
fof(f1129,plain,
( m2_filter_2(k1_tarski(k5_lattices(sK1)),sK1)
| ~ v10_lattices(sK1)
| ~ l3_lattices(sK1)
| spl28_10
| ~ spl28_12
| ~ spl28_14
| ~ spl28_15
| ~ spl28_76 ),
inference(forward_subsumption_resolution,[],[f1123,f231]) ).
fof(f1132,plain,
( m2_filter_2(k1_tarski(k5_lattices(sK1)),sK1)
| ~ l3_lattices(sK1)
| spl28_10
| ~ spl28_12
| ~ spl28_14
| ~ spl28_15
| ~ spl28_76 ),
inference(forward_subsumption_resolution,[],[f1129,f230]) ).
fof(f1135,plain,
( m2_filter_2(k1_tarski(k5_lattices(sK1)),sK1)
| spl28_10
| ~ spl28_12
| ~ spl28_14
| ~ spl28_15
| ~ spl28_76 ),
inference(forward_subsumption_resolution,[],[f1132,f229]) ).
fof(f1186,plain,
( ~ l2_lattices(sK1)
| spl28_51 ),
inference(resolution,[],[f911,f630]) ).
fof(f1187,plain,
( $false
| spl28_51 ),
inference(forward_subsumption_resolution,[],[f1186,f381]) ).
fof(f1188,plain,
spl28_51,
inference(avatar_contradiction_clause,[],[f1187]) ).
fof(f1248,plain,
( ~ l2_lattices(sK1)
| spl28_52 ),
inference(resolution,[],[f915,f360]) ).
fof(f1249,plain,
( $false
| spl28_52 ),
inference(forward_subsumption_resolution,[],[f1248,f381]) ).
fof(f1250,plain,
spl28_52,
inference(avatar_contradiction_clause,[],[f1249]) ).
fof(f1251,plain,
( ~ l2_lattices(sK1)
| spl28_53 ),
inference(resolution,[],[f919,f361]) ).
fof(f1252,plain,
( $false
| spl28_53 ),
inference(forward_subsumption_resolution,[],[f1251,f381]) ).
fof(f1253,plain,
spl28_53,
inference(avatar_contradiction_clause,[],[f1252]) ).
fof(f1281,plain,
( ~ l1_lattices(sK1)
| spl28_54 ),
inference(resolution,[],[f923,f615]) ).
fof(f1282,plain,
( $false
| spl28_54 ),
inference(forward_subsumption_resolution,[],[f1281,f387]) ).
fof(f1283,plain,
spl28_54,
inference(avatar_contradiction_clause,[],[f1282]) ).
fof(f1286,plain,
k1_lattice2(sK1) = g3_lattices(u1_struct_0(k1_lattice2(sK1)),u2_lattices(k1_lattice2(sK1)),u1_lattices(k1_lattice2(sK1))),
inference(resolution,[],[f653,f229]) ).
fof(f1312,plain,
( ~ l1_lattices(sK1)
| spl28_55 ),
inference(resolution,[],[f927,f294]) ).
fof(f1313,plain,
( $false
| spl28_55 ),
inference(forward_subsumption_resolution,[],[f1312,f387]) ).
fof(f1314,plain,
spl28_55,
inference(avatar_contradiction_clause,[],[f1313]) ).
fof(f1316,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0
| ~ v1_funct_2(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl28_56 ),
inference(forward_subsumption_resolution,[],[f963,f930]) ).
fof(f1321,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(u1_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl28_55
| ~ spl28_56 ),
inference(forward_subsumption_resolution,[],[f1316,f926]) ).
fof(f1326,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0
| ~ v1_funct_1(u2_lattices(sK1))
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl28_54
| ~ spl28_55
| ~ spl28_56 ),
inference(forward_subsumption_resolution,[],[f1321,f922]) ).
fof(f1332,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0
| ~ v1_funct_2(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1))
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl28_53
| ~ spl28_54
| ~ spl28_55
| ~ spl28_56 ),
inference(forward_subsumption_resolution,[],[f1326,f918]) ).
fof(f1334,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0
| ~ m1_relset_1(u2_lattices(sK1),k2_zfmisc_1(u1_struct_0(sK1),u1_struct_0(sK1)),u1_struct_0(sK1)) )
| ~ spl28_52
| ~ spl28_53
| ~ spl28_54
| ~ spl28_55
| ~ spl28_56 ),
inference(forward_subsumption_resolution,[],[f1332,f914]) ).
fof(f1336,plain,
( ! [X2,X0,X1] :
( g3_lattices(X0,X1,X2) != k1_lattice2(sK1)
| u1_struct_0(sK1) = X0 )
| ~ spl28_51
| ~ spl28_52
| ~ spl28_53
| ~ spl28_54
| ~ spl28_55
| ~ spl28_56 ),
inference(forward_subsumption_resolution,[],[f1334,f910]) ).
fof(f1405,plain,
( v3_struct_0(k1_lattice2(sK1))
| ~ l1_struct_0(k1_lattice2(sK1))
| ~ spl28_77 ),
inference(resolution,[],[f1107,f373]) ).
fof(f1411,plain,
( ~ l1_struct_0(k1_lattice2(sK1))
| spl28_10
| ~ spl28_77 ),
inference(forward_subsumption_resolution,[],[f1405,f669]) ).
fof(f1412,plain,
( $false
| ~ spl28_9
| spl28_10
| ~ spl28_77 ),
inference(forward_subsumption_resolution,[],[f1411,f683]) ).
fof(f1413,plain,
( ~ spl28_9
| spl28_10
| ~ spl28_77 ),
inference(avatar_contradiction_clause,[],[f1412]) ).
fof(f1620,plain,
( k1_lattice2(sK1) != k1_lattice2(sK1)
| u1_struct_0(sK1) = u1_struct_0(k1_lattice2(sK1))
| ~ spl28_51
| ~ spl28_52
| ~ spl28_53
| ~ spl28_54
| ~ spl28_55
| ~ spl28_56 ),
inference(superposition,[],[f1336,f1286]) ).
fof(f1621,plain,
( u1_struct_0(sK1) = u1_struct_0(k1_lattice2(sK1))
| ~ spl28_51
| ~ spl28_52
| ~ spl28_53
| ~ spl28_54
| ~ spl28_55
| ~ spl28_56 ),
inference(trivial_inequality_removal,[],[f1620]) ).
fof(f1649,plain,
( k6_domain_1(u1_struct_0(sK1),k5_lattices(sK1)) = k1_tarski(k5_lattices(sK1))
| ~ spl28_51
| ~ spl28_52
| ~ spl28_53
| ~ spl28_54
| ~ spl28_55
| ~ spl28_56
| ~ spl28_76 ),
inference(superposition,[],[f1103,f1621]) ).
fof(f1860,plain,
( ~ m2_filter_2(k1_tarski(k5_lattices(sK1)),sK1)
| ~ spl28_51
| ~ spl28_52
| ~ spl28_53
| ~ spl28_54
| ~ spl28_55
| ~ spl28_56
| ~ spl28_76 ),
inference(superposition,[],[f233,f1649]) ).
fof(f1862,plain,
( $false
| spl28_10
| ~ spl28_12
| ~ spl28_14
| ~ spl28_15
| ~ spl28_51
| ~ spl28_52
| ~ spl28_53
| ~ spl28_54
| ~ spl28_55
| ~ spl28_56
| ~ spl28_76 ),
inference(forward_subsumption_resolution,[],[f1860,f1135]) ).
fof(f1863,plain,
( spl28_10
| ~ spl28_12
| ~ spl28_14
| ~ spl28_15
| ~ spl28_51
| ~ spl28_52
| ~ spl28_53
| ~ spl28_54
| ~ spl28_55
| ~ spl28_56
| ~ spl28_76 ),
inference(avatar_contradiction_clause,[],[f1862]) ).
cnf(s4,plain,
( ~ spl28_9
| spl28_10
| spl28_11 ),
inference(sat_conversion,[],[f675]) ).
cnf(s5,plain,
spl28_9,
inference(sat_conversion,[],[f680]) ).
cnf(s7,plain,
~ spl28_10,
inference(sat_conversion,[],[f695]) ).
cnf(s8,plain,
( spl28_10
| ~ spl28_12
| ~ spl28_13
| ~ spl28_14
| spl28_15 ),
inference(sat_conversion,[],[f713]) ).
cnf(s9,plain,
spl28_12,
inference(sat_conversion,[],[f722]) ).
cnf(s17,plain,
spl28_13,
inference(sat_conversion,[],[f784]) ).
cnf(s24,plain,
spl28_14,
inference(sat_conversion,[],[f962]) ).
cnf(s27,plain,
spl28_56,
inference(sat_conversion,[],[f1008]) ).
cnf(s31,plain,
( ~ spl28_11
| spl28_76
| spl28_77 ),
inference(sat_conversion,[],[f1108]) ).
cnf(s32,plain,
spl28_51,
inference(sat_conversion,[],[f1188]) ).
cnf(s38,plain,
spl28_52,
inference(sat_conversion,[],[f1250]) ).
cnf(s39,plain,
spl28_53,
inference(sat_conversion,[],[f1253]) ).
cnf(s41,plain,
spl28_54,
inference(sat_conversion,[],[f1283]) ).
cnf(s42,plain,
spl28_55,
inference(sat_conversion,[],[f1314]) ).
cnf(s46,plain,
( ~ spl28_9
| spl28_10
| ~ spl28_77 ),
inference(sat_conversion,[],[f1413]) ).
cnf(s65,plain,
( spl28_10
| ~ spl28_12
| ~ spl28_14
| ~ spl28_15
| ~ spl28_51
| ~ spl28_52
| ~ spl28_53
| ~ spl28_54
| ~ spl28_55
| ~ spl28_56
| ~ spl28_76 ),
inference(sat_conversion,[],[f1863]) ).
cnf(s81,plain,
( spl28_10
| spl28_15 ),
inference(rat,[],[s8,s24,s17,s9]) ).
cnf(s89,plain,
spl28_15,
inference(rat,[],[s81,s7]) ).
cnf(s90,plain,
~ spl28_76,
inference(rat,[],[s65,s7,s27,s42,s41,s39,s38,s32,s9,s24,s89]) ).
cnf(s91,plain,
~ spl28_77,
inference(rat,[],[s46,s7,s5]) ).
cnf(s92,plain,
~ spl28_11,
inference(rat,[],[s31,s90,s91]) ).
cnf(s93,plain,
$false,
inference(rat,[],[s4,s92,s7,s5]) ).
fof(f1864,plain,
$false,
inference(avatar_sat_refutation,[],[s93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT302+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 14:28:17 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.79/1.50 % (2696850)Detected formulas, will run a generic FOF schedule.
% 3.79/1.50 % (2696858)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3154696456:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.79/1.50 % (2696858)Refutation not found, incomplete strategy
% 3.79/1.50 % (2696858)------------------------------
% 3.79/1.50 % (2696858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.50 % (2696858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.50 % (2696858)CaDiCaL version: 2.1.3
% 3.79/1.50 % (2696858)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.50 % (2696858)Time elapsed: 0.001 s
% 3.79/1.50 % (2696858)Peak memory usage: 88 MB
% 3.79/1.50 % (2696858)Instructions burned: 1 (million)
% 3.79/1.50 % (2696859)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2935443663:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.79/1.50 % (2696861)dis-21_1_sil=8000:lcm=predicate:random_seed=4184015551:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.79/1.50 % (2696860)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=298086883:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.79/1.50 % (2696856)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1332226111:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.79/1.50 % (2696855)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=760464569:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.79/1.50 % (2696857)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1176851775:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.79/1.50 % (2696859)Refutation not found, incomplete strategy
% 3.79/1.50 % (2696859)------------------------------
% 3.79/1.50 % (2696859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.50 % (2696859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.50 % (2696859)CaDiCaL version: 2.1.3
% 3.79/1.50 % (2696859)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.50 % (2696859)Time elapsed: 0.004 s
% 3.79/1.50 % (2696859)Peak memory usage: 88 MB
% 3.79/1.50 % (2696859)Instructions burned: 5 (million)
% 3.79/1.50 % (2696861)Instruction limit reached!
% 3.79/1.50 % (2696861)------------------------------
% 3.79/1.50 % (2696861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.50 % (2696861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.50 % (2696861)CaDiCaL version: 2.1.3
% 3.79/1.50 % (2696861)Termination reason: Instruction limit
% 3.79/1.50 % (2696861)Termination phase: Saturation
% 3.79/1.50 % (2696861)Time elapsed: 0.071 s
% 3.79/1.50 % (2696861)Peak memory usage: 93 MB
% 3.79/1.50 % (2696861)Instructions burned: 130 (million)
% 3.79/1.50 % (2696860)Instruction limit reached!
% 3.79/1.50 % (2696860)------------------------------
% 3.79/1.50 % (2696860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.50 % (2696860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.50 % (2696860)CaDiCaL version: 2.1.3
% 3.79/1.50 % (2696860)Termination reason: Instruction limit
% 3.79/1.50 % (2696860)Termination phase: Saturation
% 3.79/1.50 % (2696860)Time elapsed: 0.095 s
% 3.79/1.50 % (2696860)Peak memory usage: 90 MB
% 3.79/1.50 % (2696860)Instructions burned: 141 (million)
% 3.79/1.50 % (2696858)------------------------------
% 3.79/1.50 % (2696858)------------------------------
% 3.79/1.50 % (2696870)lrs+10_1_sil=32000:urr=on:br=off:random_seed=844822991:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.79/1.50 % (2696870)Refutation not found, incomplete strategy
% 3.79/1.50 % (2696870)------------------------------
% 3.79/1.50 % (2696870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.50 % (2696870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.50 % (2696870)CaDiCaL version: 2.1.3
% 3.79/1.50 % (2696870)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.50 % (2696870)Time elapsed: 0.002 s
% 3.79/1.50 % (2696870)Peak memory usage: 89 MB
% 3.79/1.50 % (2696870)Instructions burned: 3 (million)
% 3.79/1.50 % (2696869)lrs+10_1_sil=8000:sp=occurrence:random_seed=1920483068:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.79/1.50 % (2696869)First to succeed.
% 3.79/1.50 % (2696869)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2696850"
% 3.79/1.50 % (2696871)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1671585636:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.79/1.50 % (2696871)Refutation not found, incomplete strategy
% 3.79/1.50 % (2696871)------------------------------
% 3.79/1.50 % (2696871)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.50 % (2696871)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.50 % (2696871)CaDiCaL version: 2.1.3
% 3.79/1.50 % (2696871)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.50 % (2696871)Time elapsed: 0.007 s
% 3.79/1.50 % (2696871)Peak memory usage: 89 MB
% 3.79/1.50 % (2696871)Instructions burned: 8 (million)
% 3.79/1.50 % (2696859)------------------------------
% 3.79/1.50 % (2696859)------------------------------
% 3.79/1.50 % (2696870)------------------------------
% 3.79/1.50 % (2696870)------------------------------
% 3.79/1.50 % (2696875)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3771991633:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.79/1.50 % (2696876)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2718244836:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.79/1.50 % (2696876)Refutation not found, incomplete strategy
% 3.79/1.50 % (2696876)------------------------------
% 3.79/1.50 % (2696876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.50 % (2696876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.50 % (2696876)CaDiCaL version: 2.1.3
% 3.79/1.50 % (2696876)Termination reason: Refutation not found, incomplete strategy
% 3.79/1.50 % (2696876)Time elapsed: 0.002 s
% 3.79/1.50 % (2696876)Peak memory usage: 88 MB
% 3.79/1.50 % (2696876)Instructions burned: 4 (million)
% 3.79/1.50 % (2696869)Refutation found. Thanks to Tanya!
% 3.79/1.50 % SZS status Theorem for theBenchmark
% 3.79/1.50 % SZS output start Proof for theBenchmark
% See solution above
% 3.79/1.59 % (2696869)------------------------------
% 3.79/1.59 % (2696869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.79/1.59 % (2696869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.79/1.59 % (2696869)CaDiCaL version: 2.1.3
% 3.79/1.59 % (2696869)Termination reason: Refutation
% 3.79/1.59 % (2696869)Time elapsed: 0.037 s
% 3.79/1.59 % (2696869)Peak memory usage: 90 MB
% 3.79/1.59 % (2696869)Instructions burned: 54 (million)
% 3.79/1.59 % (2696869)------------------------------
% 3.79/1.59 % (2696869)------------------------------
% 3.79/1.59 % (2696850)Success in time 0.642 s
% 3.79/1.59 % Vampire exiting
%------------------------------------------------------------------------------