%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:00:14 PM UTC 2026
% Result : Theorem 2.92s 1.37s
% Output : Refutation 3.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 15
% Syntax : Number of formulae : 122 ( 18 unt; 4 def)
% Number of atoms : 575 ( 42 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 737 ( 284 ~; 304 |; 124 &)
% ( 19 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-3 aty)
% Number of variables : 263 ( 0 sgn 227 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
=> ( ip(X0)
& ip(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
fof(f3,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
=> ( ic(X0)
& ic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(f4,axiom,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( ( iext(X0,X1,X2)
& iext(X0,X1,X3) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
fof(f5,axiom,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( ( iext(X0,X1,X3)
& iext(X0,X2,X3) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f6,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f7,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_someValuesFrom,X0,X2)
& iext(uri_owl_onProperty,X0,X1) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f9,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f10,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_028_Inferred_Property_Characteristics_III) ).
fof(f11,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f10]) ).
fof(f12,axiom,
? [X0] :
( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X0)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_owl_onProperty,X0,uri_owl_inverseOf)
& iext(uri_owl_someValuesFrom,X0,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_028_Inferred_Property_Characteristics_III) ).
fof(f13,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(flattening,[],[f11]) ).
fof(f14,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f15,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f6]) ).
fof(f17,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X1,X3) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f18,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X1,X3) ) ) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( ( ip(X0)
& ip(X1) )
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(flattening,[],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f23,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f24,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(flattening,[],[f23]) ).
fof(f25,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X4,X6)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(rectify,[],[f24]) ).
fof(f26,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ( sK0(X0) != sK1(X0)
& iext(X0,sK0(X0),sK2(X0))
& iext(X0,sK1(X0),sK2(X0)) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X4,X6)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0))],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f28,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK3(X0,X1))
& icext(X0,sK3(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f29]) ).
fof(f31,plain,
( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK4)
& iext(uri_rdf_type,sK4,uri_owl_Restriction)
& iext(uri_owl_onProperty,sK4,uri_owl_inverseOf)
& iext(uri_owl_someValuesFrom,sK4,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f12]) ).
fof(f32,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X2 != X3
& iext(X0,X1,X2)
& iext(X0,X1,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X1,X3) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f33,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X2 != X3
& iext(X0,X1,X2)
& iext(X0,X1,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X1,X3) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X2 != X3
& iext(X0,X1,X2)
& iext(X0,X1,X3) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X5 = X6
| ~ iext(X0,X4,X5)
| ~ iext(X0,X4,X6) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(rectify,[],[f33]) ).
fof(f35,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ( sK6(X0) != sK7(X0)
& iext(X0,sK5(X0),sK6(X0))
& iext(X0,sK5(X0),sK7(X0)) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X5 = X6
| ~ iext(X0,X4,X5)
| ~ iext(X0,X4,X6) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X1,sK5(X0)),skolemize(X2,sK6(X0)),skolemize(X3,sK7(X0))],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f37,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X1,sK9(X0,X1),sK8(X0,X1))
| ~ iext(X0,sK8(X0,X1),sK9(X0,X1)) )
& ( iext(X1,sK9(X0,X1),sK8(X0,X1))
| iext(X0,sK8(X0,X1),sK9(X0,X1)) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X2,sK8(X0,X1)),skolemize(X3,sK9(X0,X1))],[f38]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(nnf_transformation,[],[f21]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X5] :
( iext(X1,X3,X5)
& icext(X2,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(rectify,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK10(X1,X2,X3))
& icext(X2,sK10(X1,X2,X3)) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X5,sK10(X1,X2,X3))],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f44,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f44]) ).
fof(f46,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK11(X0,X1))
| ~ icext(X0,sK11(X0,X1)) )
& ( icext(X1,sK11(X0,X1))
| icext(X0,sK11(X0,X1)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X2,sK11(X0,X1))],[f45]) ).
fof(f47,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f13]) ).
fof(f50,plain,
! [X0] :
( iext(X0,sK1(X0),sK2(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
! [X0] :
( iext(X0,sK0(X0),sK2(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f52,plain,
! [X0] :
( sK0(X0) != sK1(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f1]) ).
fof(f57,plain,
! [X0,X1] :
( icext(X0,sK3(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f58,plain,
! [X0,X1] :
( ~ icext(X1,sK3(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f59,plain,
iext(uri_owl_someValuesFrom,sK4,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f31]) ).
fof(f60,plain,
iext(uri_owl_onProperty,sK4,uri_owl_inverseOf),
inference(cnf_transformation,[],[f31]) ).
fof(f62,plain,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK4),
inference(cnf_transformation,[],[f31]) ).
fof(f63,plain,
! [X0,X6,X4,X5] :
( ~ iext(X0,X4,X6)
| ~ iext(X0,X4,X5)
| X5 = X6
| ~ icext(uri_owl_FunctionalProperty,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f68,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X0,X4,X5)
| iext(X1,X5,X4) ),
inference(cnf_transformation,[],[f39]) ).
fof(f75,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ip(X0) ),
inference(cnf_transformation,[],[f19]) ).
fof(f76,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ icext(X0,X3)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| icext(X2,sK10(X1,X2,X3)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f77,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ icext(X0,X3)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| iext(X1,X3,sK10(X1,X2,X3)) ),
inference(cnf_transformation,[],[f42]) ).
fof(f79,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,X3)
| icext(X1,X3) ),
inference(cnf_transformation,[],[f46]) ).
fof(f86,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f88,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(resolution,[],[f86,f62]) ).
fof(f89,plain,
! [X0] :
( ~ icext(uri_ex_InversesOfFunctionalProperties,X0)
| icext(sK4,X0) ),
inference(resolution,[],[f79,f62]) ).
fof(f203,plain,
! [X0] :
( ~ ic(uri_ex_InversesOfFunctionalProperties)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X0)
| icext(sK4,sK3(uri_ex_InversesOfFunctionalProperties,X0)) ),
inference(resolution,[],[f57,f89]) ).
fof(f206,plain,
! [X0] :
( icext(sK4,sK3(uri_ex_InversesOfFunctionalProperties,X0))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X0)
| ~ ic(X0) ),
inference(forward_subsumption_resolution,[],[f203,f88]) ).
fof(f300,plain,
! [X0,X1] :
( icext(X1,sK10(uri_owl_inverseOf,X1,X0))
| ~ iext(uri_owl_someValuesFrom,sK4,X1)
| ~ icext(sK4,X0) ),
inference(resolution,[],[f76,f60]) ).
fof(f329,plain,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,sK10(uri_owl_inverseOf,X1,X0))
| ~ iext(uri_owl_someValuesFrom,sK4,X1)
| ~ icext(sK4,X0) ),
inference(resolution,[],[f77,f60]) ).
fof(f476,plain,
! [X2,X3,X0,X1] :
( iext(sK10(uri_owl_inverseOf,X0,X1),X3,X2)
| ~ icext(sK4,X1)
| ~ iext(X1,X2,X3)
| ~ iext(uri_owl_someValuesFrom,sK4,X0) ),
inference(resolution,[],[f329,f68]) ).
fof(f477,plain,
! [X0,X1] :
( ~ iext(uri_owl_someValuesFrom,sK4,X0)
| ~ icext(sK4,X1)
| ip(X1) ),
inference(resolution,[],[f329,f75]) ).
fof(f494,definition,
( spl12_55
<=> ! [X1] :
( ~ icext(sK4,X1)
| ip(X1) ) ),
introduced(definition,[new_symbols(definition,[spl12_55])],[avatar_definition]) ).
fof(f495,plain,
( ! [X1] :
( ~ icext(sK4,X1)
| ip(X1) )
| ~ spl12_55 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f497,definition,
( spl12_56
<=> ! [X0] : ~ iext(uri_owl_someValuesFrom,sK4,X0) ),
introduced(definition,[new_symbols(definition,[spl12_56])],[avatar_definition]) ).
fof(f498,plain,
( ! [X0] : ~ iext(uri_owl_someValuesFrom,sK4,X0)
| ~ spl12_56 ),
inference(avatar_component_clause,[],[f497]) ).
fof(f499,plain,
( spl12_55
| spl12_56 ),
inference(avatar_split_clause,[],[f477,f497,f494]) ).
fof(f555,plain,
( $false
| ~ spl12_56 ),
inference(resolution,[],[f498,f59]) ).
fof(f556,plain,
~ spl12_56,
inference(avatar_contradiction_clause,[],[f555]) ).
fof(f672,plain,
( ! [X0] :
( ip(sK3(uri_ex_InversesOfFunctionalProperties,X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X0) )
| ~ spl12_55 ),
inference(resolution,[],[f206,f495]) ).
fof(f739,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(sK10(uri_owl_inverseOf,X3,X0),X2,X4)
| ~ iext(X0,X1,X2)
| ~ iext(uri_owl_someValuesFrom,sK4,X3)
| ~ icext(sK4,X0)
| X1 = X4
| ~ icext(uri_owl_FunctionalProperty,sK10(uri_owl_inverseOf,X3,X0)) ),
inference(resolution,[],[f476,f63]) ).
fof(f984,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(X0,X1,X2)
| ~ iext(uri_owl_someValuesFrom,sK4,X3)
| ~ icext(sK4,X0)
| X1 = X4
| ~ icext(uri_owl_FunctionalProperty,sK10(uri_owl_inverseOf,X3,X0))
| ~ icext(sK4,X0)
| ~ iext(X0,X4,X2)
| ~ iext(uri_owl_someValuesFrom,sK4,X3) ),
inference(resolution,[],[f739,f476]) ).
fof(f995,plain,
! [X2,X3,X0,X1,X4] :
( ~ icext(uri_owl_FunctionalProperty,sK10(uri_owl_inverseOf,X3,X0))
| ~ iext(uri_owl_someValuesFrom,sK4,X3)
| ~ icext(sK4,X0)
| X1 = X4
| ~ iext(X0,X1,X2)
| ~ iext(X0,X4,X2) ),
inference(duplicate_literal_removal,[],[f984]) ).
fof(f1008,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_someValuesFrom,sK4,uri_owl_FunctionalProperty)
| ~ icext(sK4,X0)
| X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3)
| ~ iext(uri_owl_someValuesFrom,sK4,uri_owl_FunctionalProperty)
| ~ icext(sK4,X0) ),
inference(resolution,[],[f995,f300]) ).
fof(f1009,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_someValuesFrom,sK4,uri_owl_FunctionalProperty)
| ~ icext(sK4,X0)
| X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ),
inference(duplicate_literal_removal,[],[f1008]) ).
fof(f1010,plain,
! [X2,X3,X0,X1] :
( ~ iext(X0,X2,X3)
| X1 = X2
| ~ iext(X0,X1,X3)
| ~ icext(sK4,X0) ),
inference(forward_subsumption_resolution,[],[f1009,f59]) ).
fof(f1024,plain,
! [X0,X1] :
( sK1(X1) = X0
| ~ iext(X1,X0,sK2(X1))
| ~ icext(sK4,X1)
| ~ ip(X1)
| icext(uri_owl_InverseFunctionalProperty,X1) ),
inference(resolution,[],[f1010,f50]) ).
fof(f1056,plain,
( ! [X0,X1] :
( ~ iext(X1,X0,sK2(X1))
| sK1(X1) = X0
| ~ icext(sK4,X1)
| icext(uri_owl_InverseFunctionalProperty,X1) )
| ~ spl12_55 ),
inference(forward_subsumption_resolution,[],[f1024,f495]) ).
fof(f1198,plain,
( ! [X0] :
( sK0(X0) = sK1(X0)
| ~ icext(sK4,X0)
| icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) )
| ~ spl12_55 ),
inference(resolution,[],[f1056,f51]) ).
fof(f1201,plain,
( ! [X0] :
( sK0(X0) = sK1(X0)
| ~ icext(sK4,X0)
| icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0) )
| ~ spl12_55 ),
inference(duplicate_literal_removal,[],[f1198]) ).
fof(f1202,plain,
( ! [X0] :
( ~ icext(sK4,X0)
| sK0(X0) = sK1(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) )
| ~ spl12_55 ),
inference(forward_subsumption_resolution,[],[f1201,f495]) ).
fof(f1217,plain,
( ! [X0] :
( icext(uri_owl_InverseFunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,X0))
| sK0(sK3(uri_ex_InversesOfFunctionalProperties,X0)) = sK1(sK3(uri_ex_InversesOfFunctionalProperties,X0))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X0)
| ~ ic(X0) )
| ~ spl12_55 ),
inference(resolution,[],[f1202,f206]) ).
fof(f1495,plain,
( sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| ~ ic(uri_owl_InverseFunctionalProperty)
| ~ ic(uri_ex_InversesOfFunctionalProperties)
| ~ ic(uri_owl_InverseFunctionalProperty)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| ~ spl12_55 ),
inference(resolution,[],[f1217,f58]) ).
fof(f1497,plain,
( sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| ~ ic(uri_owl_InverseFunctionalProperty)
| ~ ic(uri_ex_InversesOfFunctionalProperties)
| ~ spl12_55 ),
inference(duplicate_literal_removal,[],[f1495]) ).
fof(f1498,plain,
( sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ ic(uri_owl_InverseFunctionalProperty)
| ~ ic(uri_ex_InversesOfFunctionalProperties)
| ~ spl12_55 ),
inference(forward_subsumption_resolution,[],[f1497,f47]) ).
fof(f1499,plain,
( sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ ic(uri_ex_InversesOfFunctionalProperties)
| ~ spl12_55 ),
inference(forward_subsumption_resolution,[],[f1498,f53]) ).
fof(f1500,plain,
( sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = sK1(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ spl12_55 ),
inference(forward_subsumption_resolution,[],[f1499,f88]) ).
fof(f1509,plain,
( sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) != sK0(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ ip(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| icext(uri_owl_InverseFunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ spl12_55 ),
inference(superposition,[],[f52,f1500]) ).
fof(f1510,plain,
( ~ ip(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| icext(uri_owl_InverseFunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ spl12_55 ),
inference(trivial_inequality_removal,[],[f1509]) ).
fof(f1512,definition,
( spl12_98
<=> icext(uri_owl_InverseFunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
introduced(definition,[new_symbols(definition,[spl12_98])],[avatar_definition]) ).
fof(f1514,plain,
( icext(uri_owl_InverseFunctionalProperty,sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| ~ spl12_98 ),
inference(avatar_component_clause,[],[f1512]) ).
fof(f1516,definition,
( spl12_99
<=> ip(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
introduced(definition,[new_symbols(definition,[spl12_99])],[avatar_definition]) ).
fof(f1518,plain,
( ~ ip(sK3(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| spl12_99 ),
inference(avatar_component_clause,[],[f1516]) ).
fof(f1519,plain,
( spl12_98
| ~ spl12_99
| ~ spl12_55 ),
inference(avatar_split_clause,[],[f1510,f494,f1516,f1512]) ).
fof(f1527,plain,
( ~ ic(uri_owl_InverseFunctionalProperty)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| ~ spl12_55
| spl12_99 ),
inference(resolution,[],[f1518,f672]) ).
fof(f1528,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| ~ spl12_55
| spl12_99 ),
inference(forward_subsumption_resolution,[],[f1527,f53]) ).
fof(f1529,plain,
( $false
| ~ spl12_55
| spl12_99 ),
inference(forward_subsumption_resolution,[],[f1528,f47]) ).
fof(f1530,plain,
( ~ spl12_55
| spl12_99 ),
inference(avatar_contradiction_clause,[],[f1529]) ).
fof(f1544,plain,
( ~ ic(uri_ex_InversesOfFunctionalProperties)
| ~ ic(uri_owl_InverseFunctionalProperty)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| ~ spl12_98 ),
inference(resolution,[],[f1514,f58]) ).
fof(f1546,plain,
( ~ ic(uri_owl_InverseFunctionalProperty)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| ~ spl12_98 ),
inference(forward_subsumption_resolution,[],[f1544,f88]) ).
fof(f1547,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| ~ spl12_98 ),
inference(forward_subsumption_resolution,[],[f1546,f53]) ).
fof(f1548,plain,
( $false
| ~ spl12_98 ),
inference(forward_subsumption_resolution,[],[f1547,f47]) ).
fof(f1549,plain,
~ spl12_98,
inference(avatar_contradiction_clause,[],[f1548]) ).
cnf(s33,plain,
( spl12_55
| spl12_56 ),
inference(sat_conversion,[],[f499]) ).
cnf(s37,plain,
~ spl12_56,
inference(sat_conversion,[],[f556]) ).
cnf(s70,plain,
( ~ spl12_55
| spl12_98
| ~ spl12_99 ),
inference(sat_conversion,[],[f1519]) ).
cnf(s71,plain,
( ~ spl12_55
| spl12_99 ),
inference(sat_conversion,[],[f1530]) ).
cnf(s72,plain,
~ spl12_98,
inference(sat_conversion,[],[f1549]) ).
cnf(s73,plain,
( ~ spl12_55
| ~ spl12_99 ),
inference(rat,[],[s70,s72]) ).
cnf(s77,plain,
spl12_55,
inference(rat,[],[s33,s37]) ).
cnf(s78,plain,
spl12_99,
inference(rat,[],[s71,s77]) ).
cnf(s79,plain,
$false,
inference(rat,[],[s73,s78,s77]) ).
fof(f1550,plain,
$false,
inference(avatar_sat_refutation,[],[s79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 % Computer : n008.cluster.edu
% 0.12/0.41 % Model : x86_64 x86_64
% 0.12/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41 % Memory : 8046.5625MB
% 0.12/0.41 % OS : Linux 6.8.0-71-generic
% 0.12/0.41 % CPULimit : 300
% 0.12/0.41 % WCLimit : 300
% 0.12/0.41 % DateTime : Mon Sep 28 07:07:09 UTC 2026
% 0.12/0.41 % CPUTime :
% 0.12/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.45 Running first-order theorem proving
% 0.12/0.45 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
% 2.92/1.37 % (2068445)Detected formulas, will run a generic FOF schedule.
% 2.92/1.37 % (2068456)dis-21_1_sil=8000:lcm=predicate:random_seed=4141371139: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)
% 2.92/1.37 % (2068451)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=3246248220:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.92/1.37 % (2068453)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3170402969:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.92/1.37 % (2068454)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2368670263:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.92/1.37 % (2068455)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=917883791:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.92/1.37 % (2068450)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=3373286546:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.92/1.37 % (2068452)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=754245417:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.92/1.37 % (2068456)Instruction limit reached!
% 2.92/1.37 % (2068456)------------------------------
% 2.92/1.37 % (2068456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.37 % (2068456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.37 % (2068456)CaDiCaL version: 2.1.3
% 2.92/1.37 % (2068456)Termination reason: Instruction limit
% 2.92/1.37 % (2068456)Termination phase: Saturation
% 2.92/1.37 % (2068456)Time elapsed: 0.041 s
% 2.92/1.37 % (2068456)Peak memory usage: 89 MB
% 2.92/1.37 % (2068456)Instructions burned: 130 (million)
% 2.92/1.37 % (2068454)Refutation not found, incomplete strategy
% 2.92/1.37 % (2068454)------------------------------
% 2.92/1.37 % (2068454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.37 % (2068454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.37 % (2068453)Refutation not found, incomplete strategy
% 2.92/1.37 % (2068453)------------------------------
% 2.92/1.37 % (2068453)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.37 % (2068454)CaDiCaL version: 2.1.3
% 2.92/1.37 % (2068454)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.37 % (2068454)Time elapsed: 0.001 s
% 2.92/1.37 % (2068453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.37 % (2068454)Peak memory usage: 87 MB
% 2.92/1.37 % (2068453)CaDiCaL version: 2.1.3
% 2.92/1.37 % (2068453)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.37 % (2068453)Time elapsed: 0.001 s
% 2.92/1.37 % (2068453)Peak memory usage: 87 MB
% 2.92/1.37 % (2068455)Instruction limit reached!
% 2.92/1.37 % (2068455)------------------------------
% 2.92/1.37 % (2068455)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.37 % (2068455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.37 % (2068455)CaDiCaL version: 2.1.3
% 2.92/1.37 % (2068455)Termination reason: Instruction limit
% 2.92/1.37 % (2068455)Termination phase: Saturation
% 2.92/1.37 % (2068455)Time elapsed: 0.091 s
% 2.92/1.37 % (2068455)Peak memory usage: 89 MB
% 2.92/1.37 % (2068455)Instructions burned: 140 (million)
% 2.92/1.37 % (2068464)lrs+10_1_sil=8000:sp=occurrence:random_seed=1062951515:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.92/1.37 % (2068464)First to succeed.
% 2.92/1.37 % (2068464)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2068445"
% 2.92/1.37 % (2068453)------------------------------
% 2.92/1.37 % (2068453)------------------------------
% 2.92/1.37 % (2068454)------------------------------
% 2.92/1.37 % (2068454)------------------------------
% 2.92/1.37 % (2068465)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1306605894:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.92/1.37 % (2068465)Refutation not found, incomplete strategy
% 2.92/1.37 % (2068465)------------------------------
% 2.92/1.37 % (2068465)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.92/1.37 % (2068465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.92/1.37 % (2068465)CaDiCaL version: 2.1.3
% 2.92/1.37 % (2068465)Termination reason: Refutation not found, incomplete strategy
% 2.92/1.37 % (2068465)Time elapsed: 0.002 s
% 2.92/1.37 % (2068465)Peak memory usage: 88 MB
% 2.92/1.37 % (2068465)Instructions burned: 1 (million)
% 2.92/1.37 % (2068464)Refutation found. Thanks to Tanya!
% 2.92/1.37 % SZS status Theorem for theBenchmark
% 2.92/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 3.87/1.46 % (2068464)------------------------------
% 3.87/1.46 % (2068464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.46 % (2068464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.46 % (2068464)CaDiCaL version: 2.1.3
% 3.87/1.46 % (2068464)Termination reason: Refutation
% 3.87/1.46 % (2068464)Time elapsed: 0.019 s
% 3.87/1.46 % (2068464)Peak memory usage: 90 MB
% 3.87/1.46 % (2068464)Instructions burned: 52 (million)
% 3.87/1.46 % (2068464)------------------------------
% 3.87/1.46 % (2068464)------------------------------
% 3.87/1.46 % (2068445)Success in time 0.475 s
% 3.87/1.46 % Vampire exiting
%------------------------------------------------------------------------------