%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 01:00:48 PM UTC 2026
% Result : Theorem 0.16s 0.53s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 9
% Syntax : Number of formulae : 89 ( 23 unt; 0 def)
% Number of atoms : 428 ( 29 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 529 ( 190 ~; 200 |; 120 &)
% ( 15 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 11 con; 0-3 aty)
% Number of variables : 217 ( 181 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',owl_inv) ).
fof(f10,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/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/sandbox/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(f16,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(f17,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X1,X3) ) ) ),
inference(flattening,[],[f16]) ).
fof(f18,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(f19,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(flattening,[],[f18]) ).
fof(f20,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(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(ennf_transformation,[],[f8]) ).
fof(f22,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,[],[f21]) ).
fof(f23,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,[],[f17]) ).
fof(f24,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,[],[f23]) ).
fof(f25,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,[],[f24]) ).
fof(f26,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ( sK1(X0) != sK2(X0)
& iext(X0,sK0(X0),sK1(X0))
& iext(X0,sK0(X0),sK2(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,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0))],[f25]) ).
fof(f27,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,[],[f19]) ).
fof(f28,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,[],[f27]) ).
fof(f29,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,[],[f28]) ).
fof(f30,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ( sK3(X0) != sK4(X0)
& iext(X0,sK3(X0),sK5(X0))
& iext(X0,sK4(X0),sK5(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,[sK3,sK4,sK5]),skolemize(X1,sK3(X0)),skolemize(X2,sK4(X0)),skolemize(X3,sK5(X0))],[f29]) ).
fof(f31,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,[],[f20]) ).
fof(f32,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,[],[f31]) ).
fof(f33,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,[],[f32]) ).
fof(f34,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK6(X0,X1))
& icext(X0,sK6(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,[sK6]),skolemize(X2,sK6(X0,X1))],[f33]) ).
fof(f35,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(f36,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,[],[f35]) ).
fof(f37,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,[],[f36]) ).
fof(f38,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK7(X0,X1))
| ~ icext(X0,sK7(X0,X1)) )
& ( icext(X1,sK7(X0,X1))
| icext(X0,sK7(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,[sK7]),skolemize(X2,sK7(X0,X1))],[f37]) ).
fof(f39,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,[],[f22]) ).
fof(f40,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,[],[f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK8(X1,X2,X3))
& icext(X2,sK8(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,[sK8]),skolemize(X5,sK8(X1,X2,X3))],[f40]) ).
fof(f42,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(f43,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,[],[f42]) ).
fof(f44,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,[],[f43]) ).
fof(f45,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X1,sK10(X0,X1),sK9(X0,X1))
| ~ iext(X0,sK9(X0,X1),sK10(X0,X1)) )
& ( iext(X1,sK10(X0,X1),sK9(X0,X1))
| iext(X0,sK9(X0,X1),sK10(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,[sK9,sK10]),skolemize(X2,sK9(X0,X1)),skolemize(X3,sK10(X0,X1))],[f44]) ).
fof(f46,plain,
( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11)
& iext(uri_rdf_type,sK11,uri_owl_Restriction)
& iext(uri_owl_onProperty,sK11,uri_owl_inverseOf)
& iext(uri_owl_someValuesFrom,sK11,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X0,sK11)],[f12]) ).
fof(f47,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f1]) ).
fof(f52,plain,
! [X0,X6,X4,X5] :
( ~ icext(uri_owl_FunctionalProperty,X0)
| ~ iext(X0,X4,X5)
| ~ iext(X0,X4,X6)
| X5 = X6 ),
inference(cnf_transformation,[],[f26]) ).
fof(f59,plain,
! [X0] :
( ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK4(X0),sK5(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f60,plain,
! [X0] :
( ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0)
| iext(X0,sK3(X0),sK5(X0)) ),
inference(cnf_transformation,[],[f30]) ).
fof(f61,plain,
! [X0] :
( ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0)
| sK3(X0) != sK4(X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f65,plain,
! [X0,X1] :
( ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X1)
| icext(X0,sK6(X0,X1)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f66,plain,
! [X0,X1] :
( ~ ic(X0)
| iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X1)
| ~ icext(X1,sK6(X0,X1)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f67,plain,
! [X3,X0,X1] :
( ~ icext(X0,X3)
| icext(X1,X3)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f70,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f73,plain,
! [X2,X3,X0,X1] :
( ~ icext(X0,X3)
| icext(X2,sK8(X1,X2,X3))
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f74,plain,
! [X2,X3,X0,X1] :
( ~ icext(X0,X3)
| iext(X1,X3,sK8(X1,X2,X3))
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f41]) ).
fof(f76,plain,
! [X0,X1,X4,X5] :
( ~ iext(X0,X4,X5)
| iext(X1,X5,X4)
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(cnf_transformation,[],[f45]) ).
fof(f79,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ip(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f82,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f13]) ).
fof(f83,plain,
iext(uri_owl_someValuesFrom,sK11,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f46]) ).
fof(f84,plain,
iext(uri_owl_onProperty,sK11,uri_owl_inverseOf),
inference(cnf_transformation,[],[f46]) ).
fof(f86,plain,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK11),
inference(cnf_transformation,[],[f46]) ).
fof(f88,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(resolution,[],[f70,f86]) ).
fof(f99,plain,
! [X0] :
( ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X0)
| icext(uri_ex_InversesOfFunctionalProperties,sK6(uri_ex_InversesOfFunctionalProperties,X0)) ),
inference(resolution,[],[f65,f88]) ).
fof(f102,plain,
! [X0] :
( ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,X0)
| ~ icext(X0,sK6(uri_ex_InversesOfFunctionalProperties,X0)) ),
inference(resolution,[],[f66,f88]) ).
fof(f431,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| icext(uri_ex_InversesOfFunctionalProperties,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(resolution,[],[f99,f47]) ).
fof(f452,plain,
icext(uri_ex_InversesOfFunctionalProperties,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(forward_subsumption_resolution,[],[f431,f82]) ).
fof(f457,plain,
! [X0] :
( ~ iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,X0)
| icext(X0,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(resolution,[],[f452,f67]) ).
fof(f469,plain,
( iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)
| ~ icext(uri_owl_InverseFunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(resolution,[],[f102,f47]) ).
fof(f473,plain,
~ icext(uri_owl_InverseFunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(forward_subsumption_resolution,[],[f469,f82]) ).
fof(f514,plain,
icext(sK11,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(resolution,[],[f457,f86]) ).
fof(f542,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,sK11,X0)
| ~ iext(uri_owl_someValuesFrom,sK11,X1)
| iext(X0,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK8(X0,X1,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(resolution,[],[f514,f74]) ).
fof(f543,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,sK11,X1)
| ~ iext(uri_owl_someValuesFrom,sK11,X0)
| icext(X0,sK8(X1,X0,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(resolution,[],[f514,f73]) ).
fof(f585,plain,
! [X0] :
( ~ iext(uri_owl_someValuesFrom,sK11,X0)
| icext(X0,sK8(uri_owl_inverseOf,X0,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(resolution,[],[f543,f84]) ).
fof(f592,plain,
icext(uri_owl_FunctionalProperty,sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(resolution,[],[f585,f83]) ).
fof(f599,plain,
! [X2,X0,X1] :
( ~ iext(sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X0,X1)
| ~ iext(sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X0,X2)
| X1 = X2 ),
inference(resolution,[],[f592,f52]) ).
fof(f721,plain,
! [X0] :
( ~ iext(uri_owl_someValuesFrom,sK11,X0)
| iext(uri_owl_inverseOf,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK8(uri_owl_inverseOf,X0,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(resolution,[],[f542,f84]) ).
fof(f723,plain,
iext(uri_owl_inverseOf,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(resolution,[],[f721,f83]) ).
fof(f725,plain,
ip(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(resolution,[],[f723,f79]) ).
fof(f734,plain,
( icext(uri_owl_InverseFunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK4(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK5(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(resolution,[],[f725,f59]) ).
fof(f735,plain,
( icext(uri_owl_InverseFunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| iext(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK3(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK5(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(resolution,[],[f725,f60]) ).
fof(f736,plain,
( icext(uri_owl_InverseFunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))
| sK4(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) != sK3(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) ),
inference(resolution,[],[f725,f61]) ).
fof(f739,plain,
sK4(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) != sK3(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(forward_subsumption_resolution,[],[f736,f473]) ).
fof(f740,plain,
iext(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK3(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK5(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(forward_subsumption_resolution,[],[f735,f473]) ).
fof(f741,plain,
iext(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK4(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK5(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(forward_subsumption_resolution,[],[f734,f473]) ).
fof(f779,plain,
! [X0] :
( ~ iext(uri_owl_inverseOf,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),X0)
| iext(X0,sK5(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK3(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(resolution,[],[f740,f76]) ).
fof(f783,plain,
! [X0] :
( ~ iext(uri_owl_inverseOf,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),X0)
| iext(X0,sK5(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK4(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))) ),
inference(resolution,[],[f741,f76]) ).
fof(f794,plain,
iext(sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK5(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK3(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(resolution,[],[f779,f723]) ).
fof(f797,plain,
iext(sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK5(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK4(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(resolution,[],[f783,f723]) ).
fof(f959,plain,
! [X0] :
( ~ iext(sK8(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK5(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),X0)
| sK3(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = X0 ),
inference(resolution,[],[f599,f794]) ).
fof(f963,plain,
sK4(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) = sK3(sK6(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(resolution,[],[f959,f797]) ).
fof(f964,plain,
$false,
inference(forward_subsumption_resolution,[],[f963,f739]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB028+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.40 % Computer : n001.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.40 % CPULimit : 300
% 0.10/0.40 % WCLimit : 300
% 0.10/0.40 % DateTime : Mon Sep 28 07:12:17 UTC 2026
% 0.10/0.41 % CPUTime :
% 0.10/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.43 Running first-order model finding
% 0.10/0.43 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.53 % (179065)Will run a generic schedule for satisfiability detection.
% 0.16/0.53 % (179096)dis+10_1_sil=32000:sp=arity:random_seed=942238444:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.53 % (179094)% WARNING: option uhcvi not known.
% 0.16/0.53 % (179094)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=951466172:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.53 % (179099)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1524137722:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.53 % (179093)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=827775186_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.53 % (179095)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2409875812:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.53 % TRYING [1]
% 0.16/0.53 % TRYING [2]
% 0.16/0.53 % TRYING [3]
% 0.16/0.53 % (179099) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-179065-179099"...
% 0.16/0.53 % (179099)...printing done.
% 0.16/0.53 % (179100)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2844412653:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.53 % (179097)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=740707948:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.53 % (179099)Refutation found. Thanks to Tanya!
% 0.16/0.53 % SZS status Theorem for theBenchmark
% 0.16/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.53 % (179099)------------------------------
% 0.16/0.53 % (179099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.53 % (179099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.53 % (179099)CaDiCaL version: 2.1.3
% 0.16/0.53 % (179099)Termination reason: Refutation
% 0.16/0.53 % (179099)Time elapsed: 0.036 s
% 0.16/0.53 % (179099)Peak memory usage: 12 MB
% 0.16/0.53 % (179099)Instructions burned: 31 (million)
% 0.16/0.53 % (179065)Success in time 0.093 s
% 0.16/0.53 % Vampire exiting
%------------------------------------------------------------------------------