%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB028+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 01:00:13 PM UTC 2026
% Result : Theorem 3.94s 1.18s
% Output : Refutation 4.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 11
% Syntax : Number of formulae : 76 ( 22 unt; 0 def)
% Number of atoms : 402 ( 25 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 501 ( 175 ~; 181 |; 124 &)
% ( 15 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 7 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 : 210 ( 174 !; 36 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136,axiom,
ic(uri_owl_InverseFunctionalProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_class_inversefunctionalproperty_type) ).
fof(f202,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
=> ( ic(X0)
& ic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(f219,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
=> ( ip(X0)
& ip(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
fof(f340,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(f343,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(f351,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(f391,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(f393,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(f394,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(f559,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(f560,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,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(f572,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(flattening,[],[f560]) ).
fof(f636,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(ennf_transformation,[],[f202]) ).
fof(f644,plain,
! [X0,X1] :
( ( ip(X0)
& ip(X1) )
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(ennf_transformation,[],[f219]) ).
fof(f787,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,[],[f340]) ).
fof(f788,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,[],[f787]) ).
fof(f791,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f343]) ).
fof(f848,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,[],[f393]) ).
fof(f849,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X1,X3) ) ) ),
inference(flattening,[],[f848]) ).
fof(f850,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,[],[f394]) ).
fof(f851,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(flattening,[],[f850]) ).
fof(f1301,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,[],[f788]) ).
fof(f1302,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,[],[f1301]) ).
fof(f1303,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK162(X1,X2,X3))
& icext(X2,sK162(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,[sK162]),skolemize(X5,sK162(X1,X2,X3))],[f1302]) ).
fof(f1312,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,[],[f791]) ).
fof(f1313,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,[],[f1312]) ).
fof(f1314,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,[],[f1313]) ).
fof(f1315,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK167(X0,X1))
& icext(X0,sK167(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,[sK167]),skolemize(X2,sK167(X0,X1))],[f1314]) ).
fof(f1350,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,[],[f351]) ).
fof(f1351,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,[],[f1350]) ).
fof(f1352,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,[],[f1351]) ).
fof(f1353,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK175(X0,X1))
| ~ icext(X0,sK175(X0,X1)) )
& ( icext(X1,sK175(X0,X1))
| icext(X0,sK175(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,[sK175]),skolemize(X2,sK175(X0,X1))],[f1352]) ).
fof(f1407,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,[],[f391]) ).
fof(f1408,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,[],[f1407]) ).
fof(f1409,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,[],[f1408]) ).
fof(f1410,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X1,sK219(X0,X1),sK218(X0,X1))
| ~ iext(X0,sK218(X0,X1),sK219(X0,X1)) )
& ( iext(X1,sK219(X0,X1),sK218(X0,X1))
| iext(X0,sK218(X0,X1),sK219(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,[sK218,sK219]),skolemize(X2,sK218(X0,X1)),skolemize(X3,sK219(X0,X1))],[f1409]) ).
fof(f1415,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,[],[f849]) ).
fof(f1416,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,[],[f1415]) ).
fof(f1417,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,[],[f1416]) ).
fof(f1418,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ( sK223(X0) != sK224(X0)
& iext(X0,sK222(X0),sK223(X0))
& iext(X0,sK222(X0),sK224(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,[sK222,sK223,sK224]),skolemize(X1,sK222(X0)),skolemize(X2,sK223(X0)),skolemize(X3,sK224(X0))],[f1417]) ).
fof(f1419,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,[],[f851]) ).
fof(f1420,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,[],[f1419]) ).
fof(f1421,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,[],[f1420]) ).
fof(f1422,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ( sK225(X0) != sK226(X0)
& iext(X0,sK225(X0),sK227(X0))
& iext(X0,sK226(X0),sK227(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,[sK225,sK226,sK227]),skolemize(X1,sK225(X0)),skolemize(X2,sK226(X0)),skolemize(X3,sK227(X0))],[f1421]) ).
fof(f1460,plain,
( iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK251)
& iext(uri_rdf_type,sK251,uri_owl_Restriction)
& iext(uri_owl_onProperty,sK251,uri_owl_inverseOf)
& iext(uri_owl_someValuesFrom,sK251,uri_owl_FunctionalProperty) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK251]),skolemize(X0,sK251)],[f561]) ).
fof(f1624,plain,
ic(uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f136]) ).
fof(f1713,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f636]) ).
fof(f1738,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ip(X0) ),
inference(cnf_transformation,[],[f644]) ).
fof(f2298,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ icext(X0,X3)
| icext(X2,sK162(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f1303]) ).
fof(f2299,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ icext(X0,X3)
| iext(X1,X3,sK162(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f1303]) ).
fof(f2314,plain,
! [X0,X1] :
( icext(X0,sK167(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f1315]) ).
fof(f2315,plain,
! [X0,X1] :
( ~ icext(X1,sK167(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f1315]) ).
fof(f2380,plain,
! [X3,X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,X3)
| icext(X1,X3) ),
inference(cnf_transformation,[],[f1353]) ).
fof(f2502,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X0,X4,X5)
| iext(X1,X5,X4) ),
inference(cnf_transformation,[],[f1410]) ).
fof(f2512,plain,
! [X0,X6,X4,X5] :
( ~ iext(X0,X4,X6)
| ~ iext(X0,X4,X5)
| X5 = X6
| ~ icext(uri_owl_FunctionalProperty,X0) ),
inference(cnf_transformation,[],[f1418]) ).
fof(f2519,plain,
! [X0] :
( iext(X0,sK226(X0),sK227(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f1422]) ).
fof(f2520,plain,
! [X0] :
( iext(X0,sK225(X0),sK227(X0))
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f1422]) ).
fof(f2521,plain,
! [X0] :
( sK225(X0) != sK226(X0)
| ~ ip(X0)
| icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f1422]) ).
fof(f2750,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f572]) ).
fof(f2751,plain,
iext(uri_owl_someValuesFrom,sK251,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f1460]) ).
fof(f2752,plain,
iext(uri_owl_onProperty,sK251,uri_owl_inverseOf),
inference(cnf_transformation,[],[f1460]) ).
fof(f2754,plain,
iext(uri_owl_equivalentClass,uri_ex_InversesOfFunctionalProperties,sK251),
inference(cnf_transformation,[],[f1460]) ).
fof(f2793,plain,
ic(uri_ex_InversesOfFunctionalProperties),
inference(unit_resulting_resolution,[],[f1713,f2754]) ).
fof(f2811,plain,
icext(uri_ex_InversesOfFunctionalProperties,sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(unit_resulting_resolution,[],[f2314,f1624,f2750,f2793]) ).
fof(f2812,plain,
~ icext(uri_owl_InverseFunctionalProperty,sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(unit_resulting_resolution,[],[f2315,f1624,f2750,f2793]) ).
fof(f2815,plain,
icext(sK251,sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(unit_resulting_resolution,[],[f2380,f2754,f2811]) ).
fof(f2867,plain,
icext(uri_owl_FunctionalProperty,sK162(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(unit_resulting_resolution,[],[f2298,f2752,f2751,f2815]) ).
fof(f2868,plain,
iext(uri_owl_inverseOf,sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK162(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(unit_resulting_resolution,[],[f2299,f2752,f2751,f2815]) ).
fof(f3134,plain,
ip(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(unit_resulting_resolution,[],[f1738,f2868]) ).
fof(f3144,plain,
iext(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK226(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK227(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(unit_resulting_resolution,[],[f2519,f2812,f3134]) ).
fof(f3145,plain,
iext(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty),sK225(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK227(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(unit_resulting_resolution,[],[f2520,f2812,f3134]) ).
fof(f3146,plain,
sK225(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)) != sK226(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),
inference(unit_resulting_resolution,[],[f2521,f2812,f3134]) ).
fof(f3548,plain,
iext(sK162(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK227(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK226(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(unit_resulting_resolution,[],[f2502,f2868,f3144]) ).
fof(f3552,plain,
iext(sK162(uri_owl_inverseOf,uri_owl_FunctionalProperty,sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK227(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty)),sK225(sK167(uri_ex_InversesOfFunctionalProperties,uri_owl_InverseFunctionalProperty))),
inference(unit_resulting_resolution,[],[f2502,f2868,f3145]) ).
fof(f3607,plain,
$false,
inference(unit_resulting_resolution,[],[f2512,f2867,f3146,f3548,f3552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB028+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.03/0.31 % Computer : n012.cluster.edu
% 0.03/0.31 % Model : x86_64 x86_64
% 0.03/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.31 % Memory : 8046.5625MB
% 0.03/0.31 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Mon Sep 28 07:06:19 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.34 Running first-order theorem proving
% 0.08/0.34 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.94/1.18 % (3200428)Detected formulas, will run a generic FOF schedule.
% 3.94/1.18 % (3200438)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=985173430:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.94/1.18 % (3200436)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1480322660:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.94/1.18 % (3200437)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1318282500:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.94/1.18 % (3200435)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=3462043109:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.94/1.18 % (3200433)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=188948216:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.94/1.18 % (3200439)dis-21_1_sil=8000:lcm=predicate:random_seed=1635893752: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)
% 3.94/1.18 % (3200434)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=4133665235:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.94/1.18 % (3200436)Refutation not found, incomplete strategy
% 3.94/1.18 % (3200436)------------------------------
% 3.94/1.18 % (3200436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.18 % (3200436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.18 % (3200436)CaDiCaL version: 2.1.3
% 3.94/1.18 % (3200436)Termination reason: Refutation not found, incomplete strategy
% 3.94/1.18 % (3200436)Time elapsed: 0.002 s
% 3.94/1.18 % (3200436)Peak memory usage: 88 MB
% 3.94/1.18 % (3200436)Instructions burned: 3 (million)
% 3.94/1.18 % (3200439)Instruction limit reached!
% 3.94/1.18 % (3200439)------------------------------
% 3.94/1.18 % (3200439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.18 % (3200439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.18 % (3200439)CaDiCaL version: 2.1.3
% 3.94/1.18 % (3200439)Termination reason: Instruction limit
% 3.94/1.18 % (3200439)Termination phase: Saturation
% 3.94/1.18 % (3200439)Time elapsed: 0.037 s
% 3.94/1.18 % (3200439)Peak memory usage: 91 MB
% 3.94/1.18 % (3200439)Instructions burned: 131 (million)
% 3.94/1.18 % (3200437)Instruction limit reached!
% 3.94/1.18 % (3200437)------------------------------
% 3.94/1.18 % (3200437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.18 % (3200437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.18 % (3200437)CaDiCaL version: 2.1.3
% 3.94/1.18 % (3200437)Termination reason: Instruction limit
% 3.94/1.18 % (3200437)Termination phase: Saturation
% 3.94/1.18 % (3200437)Time elapsed: 0.038 s
% 3.94/1.18 % (3200437)Peak memory usage: 88 MB
% 3.94/1.18 % (3200437)Instructions burned: 121 (million)
% 3.94/1.18 % (3200438)Instruction limit reached!
% 3.94/1.18 % (3200438)------------------------------
% 3.94/1.18 % (3200438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.18 % (3200438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.18 % (3200438)CaDiCaL version: 2.1.3
% 3.94/1.18 % (3200438)Termination reason: Instruction limit
% 3.94/1.18 % (3200438)Termination phase: Saturation
% 3.94/1.18 % (3200438)Time elapsed: 0.045 s
% 3.94/1.18 % (3200438)Peak memory usage: 90 MB
% 3.94/1.18 % (3200438)Instructions burned: 140 (million)
% 3.94/1.18 % (3200436)------------------------------
% 3.94/1.18 % (3200436)------------------------------
% 3.94/1.18 % (3200447)lrs+10_1_sil=8000:sp=occurrence:random_seed=3625657636:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.94/1.18 % (3200449)lrs+1011_1_sil=32000:sp=occurrence:random_seed=864241543:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 3.94/1.18 % (3200448)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1116257838:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.94/1.18 % (3200449)Refutation not found, incomplete strategy
% 3.94/1.18 % (3200449)------------------------------
% 3.94/1.18 % (3200449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.18 % (3200449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.18 % (3200449)CaDiCaL version: 2.1.3
% 3.94/1.18 % (3200449)Termination reason: Refutation not found, incomplete strategy
% 3.94/1.18 % (3200449)Time elapsed: 0.002 s
% 3.94/1.18 % (3200449)Peak memory usage: 89 MB
% 3.94/1.18 % (3200449)Instructions burned: 3 (million)
% 3.94/1.18 % (3200448)Refutation not found, incomplete strategy
% 3.94/1.18 % (3200448)------------------------------
% 3.94/1.18 % (3200448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.18 % (3200448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.18 % (3200448)CaDiCaL version: 2.1.3
% 3.94/1.18 % (3200448)Termination reason: Refutation not found, incomplete strategy
% 3.94/1.18 % (3200448)Time elapsed: 0.002 s
% 3.94/1.18 % (3200448)Peak memory usage: 89 MB
% 3.94/1.18 % (3200448)Instructions burned: 7 (million)
% 3.94/1.18 % (3200447)Instruction limit reached!
% 3.94/1.18 % (3200447)------------------------------
% 3.94/1.18 % (3200447)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.18 % (3200447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.18 % (3200447)CaDiCaL version: 2.1.3
% 3.94/1.18 % (3200447)Termination reason: Instruction limit
% 3.94/1.18 % (3200447)Termination phase: Saturation
% 3.94/1.18 % (3200447)Time elapsed: 0.095 s
% 3.94/1.18 % (3200447)Peak memory usage: 93 MB
% 3.94/1.18 % (3200447)Instructions burned: 286 (million)
% 3.94/1.18 % (3200450)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=3097170050:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.94/1.18 % (3200450)First to succeed.
% 3.94/1.18 % (3200449)------------------------------
% 3.94/1.18 % (3200449)------------------------------
% 3.94/1.18 % (3200450)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3200428"
% 3.94/1.18 % (3200448)------------------------------
% 3.94/1.18 % (3200448)------------------------------
% 3.94/1.18 % (3200434)Also succeeded, but the first one will report.
% 3.94/1.18 % (3200454)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3144206106:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 3.94/1.18 % (3200456)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1072487754:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.94/1.18 % (3200457)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1712402086:cts=off:i=113:fsr=off:ss=included:sgt=4_2995 on theBenchmark for (2995ds/113Mi)
% 3.94/1.18 % (3200454)Instruction limit reached!
% 3.94/1.18 % (3200454)------------------------------
% 3.94/1.18 % (3200454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.18 % (3200454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.18 % (3200454)CaDiCaL version: 2.1.3
% 3.94/1.18 % (3200454)Termination reason: Instruction limit
% 3.94/1.18 % (3200454)Termination phase: Saturation
% 3.94/1.18 % (3200454)Time elapsed: 0.069 s
% 3.94/1.18 % (3200454)Peak memory usage: 89 MB
% 3.94/1.18 % (3200454)Instructions burned: 296 (million)
% 3.94/1.18 % (3200450)Refutation found. Thanks to Tanya!
% 3.94/1.18 % SZS status Theorem for theBenchmark
% 3.94/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 4.63/1.28 % (3200450)------------------------------
% 4.63/1.28 % (3200450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.28 % (3200450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.28 % (3200450)CaDiCaL version: 2.1.3
% 4.63/1.28 % (3200450)Termination reason: Refutation
% 4.63/1.28 % (3200450)Time elapsed: 0.032 s
% 4.63/1.28 % (3200450)Peak memory usage: 90 MB
% 4.63/1.28 % (3200450)Instructions burned: 107 (million)
% 4.63/1.28 % (3200450)------------------------------
% 4.63/1.28 % (3200450)------------------------------
% 4.63/1.28 % (3200428)Success in time 0.64 s
% 4.63/1.28 % Vampire exiting
%------------------------------------------------------------------------------