%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB013+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 : 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 01:00:03 PM UTC 2026
% Result : Theorem 3.87s 1.14s
% Output : Refutation 4.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 79 ( 29 unt; 2 def)
% Number of atoms : 457 ( 5 equ)
% Maximal formula atoms : 19 ( 5 avg)
% Number of connectives : 567 ( 189 ~; 190 |; 167 &)
% ( 16 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-5 aty)
% Number of functors : 36 ( 36 usr; 26 con; 0-4 aty)
% Number of variables : 269 ( 232 !; 37 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,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(f3,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(f4,axiom,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(f5,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f6,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,X5)
& iext(uri_rdf_first,X5,X6)
& iext(uri_rdf_rest,X5,uri_rdf_nil) )
=> ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ip(X6)
& ! [X7,X8,X9,X10] :
( ( iext(X2,X7,X8)
& iext(X4,X8,X9)
& iext(X6,X9,X10) )
=> iext(X0,X7,X10) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_chain_003) ).
fof(f7,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(f8,conjecture,
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_013_Cliques) ).
fof(f9,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(negated_conjecture,[status(cth)],[f8]) ).
fof(f10,axiom,
? [X0,X1,X2,X3,X4] :
( iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,X0)
& iext(uri_rdf_type,X0,uri_owl_Restriction)
& iext(uri_owl_onProperty,X0,uri_ex_sameCliqueAs)
& iext(uri_owl_someValuesFrom,X0,uri_ex_Clique)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,X2)
& iext(uri_rdf_first,X2,uri_rdf_type)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X3,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,X3,X4)
& iext(uri_rdf_first,X4,X1)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& iext(uri_owl_inverseOf,X1,uri_rdf_type)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_013_Cliques) ).
fof(f11,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(flattening,[],[f9]) ).
fof(f12,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,[],[f2]) ).
fof(f13,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,[],[f12]) ).
fof(f14,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f4]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ip(X6)
& ! [X7,X8,X9,X10] :
( iext(X0,X7,X10)
| ~ iext(X2,X7,X8)
| ~ iext(X4,X8,X9)
| ~ iext(X6,X9,X10) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(ennf_transformation,[],[f6]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ip(X6)
& ! [X7,X8,X9,X10] :
( iext(X0,X7,X10)
| ~ iext(X2,X7,X8)
| ~ iext(X4,X8,X9)
| ~ iext(X6,X9,X10) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(flattening,[],[f16]) ).
fof(f18,definition,
! [X0,X2,X4,X6] :
( sP0(X0,X2,X4,X6)
<=> ( ip(X0)
& ip(X2)
& ip(X4)
& ip(X6)
& ! [X7,X8,X9,X10] :
( iext(X0,X7,X10)
| ~ iext(X2,X7,X8)
| ~ iext(X4,X8,X9)
| ~ iext(X6,X9,X10) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f19,definition,
! [X6,X4,X2,X0,X1] :
( ( iext(uri_owl_propertyChainAxiom,X0,X1)
<=> sP0(X0,X2,X4,X6) )
| ~ sP1(X6,X4,X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sP1(X6,X4,X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(definition_folding,[],[f17,f19,f18]) ).
fof(f21,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f22,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,[],[f13]) ).
fof(f23,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,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK2(X1,X2,X3))
& icext(X2,sK2(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,[sK2]),skolemize(X5,sK2(X1,X2,X3))],[f23]) ).
fof(f25,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,[],[f14]) ).
fof(f26,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,[],[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)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f28,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))],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f30,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ~ iext(X1,sK4(X0,X1),sK5(X0,X1))
& iext(X0,sK4(X0,X1),sK5(X0,X1)) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X2,sK4(X0,X1)),skolemize(X3,sK5(X0,X1))],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f34,plain,
! [X6,X4,X2,X0,X1] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ sP0(X0,X2,X4,X6) )
& ( sP0(X0,X2,X4,X6)
| ~ iext(uri_owl_propertyChainAxiom,X0,X1) ) )
| ~ sP1(X6,X4,X2,X0,X1) ),
inference(nnf_transformation,[],[f19]) ).
fof(f35,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_propertyChainAxiom,X3,X4)
| ~ sP0(X3,X2,X1,X0) )
& ( sP0(X3,X2,X1,X0)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4) ) )
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X0,X2,X4,X6] :
( ( sP0(X0,X2,X4,X6)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ~ ip(X6)
| ? [X7,X8,X9,X10] :
( ~ iext(X0,X7,X10)
& iext(X2,X7,X8)
& iext(X4,X8,X9)
& iext(X6,X9,X10) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ip(X6)
& ! [X7,X8,X9,X10] :
( iext(X0,X7,X10)
| ~ iext(X2,X7,X8)
| ~ iext(X4,X8,X9)
| ~ iext(X6,X9,X10) ) )
| ~ sP0(X0,X2,X4,X6) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f37,plain,
! [X0,X2,X4,X6] :
( ( sP0(X0,X2,X4,X6)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ~ ip(X6)
| ? [X7,X8,X9,X10] :
( ~ iext(X0,X7,X10)
& iext(X2,X7,X8)
& iext(X4,X8,X9)
& iext(X6,X9,X10) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ip(X6)
& ! [X7,X8,X9,X10] :
( iext(X0,X7,X10)
| ~ iext(X2,X7,X8)
| ~ iext(X4,X8,X9)
| ~ iext(X6,X9,X10) ) )
| ~ sP0(X0,X2,X4,X6) ) ),
inference(flattening,[],[f36]) ).
fof(f38,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ ip(X0)
| ~ ip(X1)
| ~ ip(X2)
| ~ ip(X3)
| ? [X4,X5,X6,X7] :
( ~ iext(X0,X4,X7)
& iext(X1,X4,X5)
& iext(X2,X5,X6)
& iext(X3,X6,X7) ) )
& ( ( ip(X0)
& ip(X1)
& ip(X2)
& ip(X3)
& ! [X8,X9,X10,X11] :
( iext(X0,X8,X11)
| ~ iext(X1,X8,X9)
| ~ iext(X2,X9,X10)
| ~ iext(X3,X10,X11) ) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ ip(X0)
| ~ ip(X1)
| ~ ip(X2)
| ~ ip(X3)
| ( ~ iext(X0,sK6(X0,X1,X2,X3),sK9(X0,X1,X2,X3))
& iext(X1,sK6(X0,X1,X2,X3),sK7(X0,X1,X2,X3))
& iext(X2,sK7(X0,X1,X2,X3),sK8(X0,X1,X2,X3))
& iext(X3,sK8(X0,X1,X2,X3),sK9(X0,X1,X2,X3)) ) )
& ( ( ip(X0)
& ip(X1)
& ip(X2)
& ip(X3)
& ! [X8,X9,X10,X11] :
( iext(X0,X8,X11)
| ~ iext(X1,X8,X9)
| ~ iext(X2,X9,X10)
| ~ iext(X3,X10,X11) ) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9]),skolemize(X4,sK6(X0,X1,X2,X3)),skolemize(X5,sK7(X0,X1,X2,X3)),skolemize(X6,sK8(X0,X1,X2,X3)),skolemize(X7,sK9(X0,X1,X2,X3))],[f38]) ).
fof(f40,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,[],[f7]) ).
fof(f41,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,[],[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)
& ! [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,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X1,sK11(X0,X1),sK10(X0,X1))
| ~ iext(X0,sK10(X0,X1),sK11(X0,X1)) )
& ( iext(X1,sK11(X0,X1),sK10(X0,X1))
| iext(X0,sK10(X0,X1),sK11(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,[sK10,sK11]),skolemize(X2,sK10(X0,X1)),skolemize(X3,sK11(X0,X1))],[f42]) ).
fof(f44,plain,
( iext(uri_rdf_type,uri_ex_Clique,uri_owl_Class)
& iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs)
& iext(uri_rdfs_range,uri_ex_sameCliqueAs,uri_ex_Clique)
& iext(uri_rdfs_subClassOf,uri_ex_Clique,sK12)
& iext(uri_rdf_type,sK12,uri_owl_Restriction)
& iext(uri_owl_onProperty,sK12,uri_ex_sameCliqueAs)
& iext(uri_owl_someValuesFrom,sK12,uri_ex_Clique)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK14)
& iext(uri_rdf_first,sK14,uri_rdf_type)
& iext(uri_rdf_rest,sK14,sK15)
& iext(uri_rdf_first,sK15,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,sK15,sK16)
& iext(uri_rdf_first,sK16,sK13)
& iext(uri_rdf_rest,sK16,uri_rdf_nil)
& iext(uri_owl_inverseOf,sK13,uri_rdf_type)
& iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique)
& iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang)
& iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15,sK16]),skolemize(X0,sK12),skolemize(X1,sK13),skolemize(X2,sK14),skolemize(X3,sK15),skolemize(X4,sK16)],[f10]) ).
fof(f45,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f21]) ).
fof(f48,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ icext(X0,X3)
| ~ iext(uri_owl_someValuesFrom,X0,X2)
| iext(X1,X3,sK2(X1,X2,X3)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f50,plain,
! [X3,X0,X1] :
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ icext(X0,X3)
| icext(X1,X3) ),
inference(cnf_transformation,[],[f28]) ).
fof(f55,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ iext(X0,X4,X5)
| iext(X1,X4,X5) ),
inference(cnf_transformation,[],[f32]) ).
fof(f60,plain,
! [X0,X1] :
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f33]) ).
fof(f62,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP1(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_propertyChainAxiom,X3,X4)
| sP0(X3,X2,X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f64,plain,
! [X2,X3,X10,X0,X11,X1,X8,X9] :
( ~ sP0(X0,X1,X2,X3)
| ~ iext(X1,X8,X9)
| ~ iext(X2,X9,X10)
| ~ iext(X3,X10,X11)
| iext(X0,X8,X11) ),
inference(cnf_transformation,[],[f39]) ).
fof(f73,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| sP1(X6,X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f75,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ),
inference(cnf_transformation,[],[f43]) ).
fof(f80,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f11]) ).
fof(f81,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(cnf_transformation,[],[f44]) ).
fof(f82,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(cnf_transformation,[],[f44]) ).
fof(f83,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(cnf_transformation,[],[f44]) ).
fof(f84,plain,
iext(uri_owl_inverseOf,sK13,uri_rdf_type),
inference(cnf_transformation,[],[f44]) ).
fof(f85,plain,
iext(uri_rdf_rest,sK16,uri_rdf_nil),
inference(cnf_transformation,[],[f44]) ).
fof(f86,plain,
iext(uri_rdf_first,sK16,sK13),
inference(cnf_transformation,[],[f44]) ).
fof(f87,plain,
iext(uri_rdf_rest,sK15,sK16),
inference(cnf_transformation,[],[f44]) ).
fof(f88,plain,
iext(uri_rdf_first,sK15,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f44]) ).
fof(f89,plain,
iext(uri_rdf_rest,sK14,sK15),
inference(cnf_transformation,[],[f44]) ).
fof(f90,plain,
iext(uri_rdf_first,sK14,uri_rdf_type),
inference(cnf_transformation,[],[f44]) ).
fof(f91,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK14),
inference(cnf_transformation,[],[f44]) ).
fof(f93,plain,
iext(uri_owl_someValuesFrom,sK12,uri_ex_Clique),
inference(cnf_transformation,[],[f44]) ).
fof(f94,plain,
iext(uri_owl_onProperty,sK12,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f44]) ).
fof(f96,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sK12),
inference(cnf_transformation,[],[f44]) ).
fof(f98,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(cnf_transformation,[],[f44]) ).
fof(f106,plain,
icext(uri_ex_Clique,uri_ex_JoesGang),
inference(unit_resulting_resolution,[],[f45,f83]) ).
fof(f117,plain,
iext(sK13,uri_ex_JoesGang,uri_ex_bob),
inference(unit_resulting_resolution,[],[f75,f81,f84]) ).
fof(f119,plain,
! [X0] : sP1(sK13,uri_ex_sameCliqueAs,uri_rdf_type,X0,sK14),
inference(unit_resulting_resolution,[],[f73,f86,f90,f88,f89,f87,f85]) ).
fof(f120,plain,
icext(sK12,uri_ex_JoesGang),
inference(unit_resulting_resolution,[],[f50,f96,f106]) ).
fof(f127,plain,
iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,sK2(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)),
inference(unit_resulting_resolution,[],[f48,f94,f93,f120]) ).
fof(f142,plain,
iext(uri_owl_sameAs,uri_ex_JoesGang,sK2(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)),
inference(unit_resulting_resolution,[],[f55,f98,f127]) ).
fof(f149,plain,
uri_ex_JoesGang = sK2(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang),
inference(unit_resulting_resolution,[],[f60,f142]) ).
fof(f155,plain,
iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,uri_ex_JoesGang),
inference(superposition,[],[f127,f149]) ).
fof(f287,plain,
sP0(uri_foaf_knows,uri_rdf_type,uri_ex_sameCliqueAs,sK13),
inference(unit_resulting_resolution,[],[f62,f119,f91]) ).
fof(f436,plain,
$false,
inference(unit_resulting_resolution,[],[f64,f80,f117,f155,f82,f287]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB013+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.05/0.31 % Computer : n012.cluster.edu
% 0.05/0.31 % Model : x86_64 x86_64
% 0.05/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.31 % Memory : 8046.5625MB
% 0.05/0.31 % OS : Linux 6.8.0-71-generic
% 0.05/0.31 % CPULimit : 300
% 0.05/0.31 % WCLimit : 300
% 0.05/0.31 % DateTime : Mon Sep 28 06:59:04 UTC 2026
% 0.05/0.31 % CPUTime :
% 0.05/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.87/1.14 % (3193730)Detected formulas, will run a generic FOF schedule.
% 3.87/1.14 % (3193797)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1896801626:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.87/1.14 % (3193796)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=649838659:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.87/1.14 % (3193800)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2441055131:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.87/1.14 % (3193799)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2014984352:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.87/1.14 % (3193794)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=4265582284:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.87/1.14 % (3193802)dis-21_1_sil=8000:lcm=predicate:random_seed=738660038: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)
% 3.87/1.14 % (3193793)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=1457440659:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.87/1.14 % (3193799)Refutation not found, incomplete strategy
% 3.87/1.14 % (3193799)------------------------------
% 3.87/1.14 % (3193799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.14 % (3193799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.14 % (3193799)CaDiCaL version: 2.1.3
% 3.87/1.14 % (3193799)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.14 % (3193799)Time elapsed: 0.0000 s
% 3.87/1.14 % (3193797)Refutation not found, incomplete strategy
% 3.87/1.14 % (3193797)------------------------------
% 3.87/1.14 % (3193797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.14 % (3193799)Peak memory usage: 86 MB
% 3.87/1.14 % (3193797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.14 % (3193797)CaDiCaL version: 2.1.3
% 3.87/1.14 % (3193797)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.14 % (3193797)Time elapsed: 0.0000 s
% 3.87/1.14 % (3193797)Peak memory usage: 86 MB
% 3.87/1.14 % (3193802)Instruction limit reached!
% 3.87/1.14 % (3193802)------------------------------
% 3.87/1.14 % (3193802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.14 % (3193802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.14 % (3193802)CaDiCaL version: 2.1.3
% 3.87/1.14 % (3193802)Termination reason: Instruction limit
% 3.87/1.14 % (3193802)Termination phase: Saturation
% 3.87/1.14 % (3193802)Time elapsed: 0.039 s
% 3.87/1.14 % (3193802)Peak memory usage: 89 MB
% 3.87/1.14 % (3193802)Instructions burned: 129 (million)
% 3.87/1.14 % (3193800)Instruction limit reached!
% 3.87/1.14 % (3193800)------------------------------
% 3.87/1.14 % (3193800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.14 % (3193800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.14 % (3193800)CaDiCaL version: 2.1.3
% 3.87/1.14 % (3193800)Termination reason: Instruction limit
% 3.87/1.14 % (3193800)Termination phase: Saturation
% 3.87/1.14 % (3193800)Time elapsed: 0.053 s
% 3.87/1.14 % (3193800)Peak memory usage: 89 MB
% 3.87/1.14 % (3193800)Instructions burned: 140 (million)
% 3.87/1.14 % (3193858)lrs+10_1_sil=8000:sp=occurrence:random_seed=2387632914:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.87/1.14 % (3193799)------------------------------
% 3.87/1.14 % (3193799)------------------------------
% 3.87/1.14 % (3193797)------------------------------
% 3.87/1.14 % (3193797)------------------------------
% 3.87/1.14 % (3193863)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2713106810:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 3.87/1.14 % (3193863)Refutation not found, incomplete strategy
% 3.87/1.14 % (3193863)------------------------------
% 3.87/1.14 % (3193863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.14 % (3193863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.14 % (3193863)CaDiCaL version: 2.1.3
% 3.87/1.14 % (3193863)Termination reason: Refutation not found, incomplete strategy
% 3.87/1.14 % (3193863)Time elapsed: 0.001 s
% 3.87/1.14 % (3193863)Peak memory usage: 88 MB
% 3.87/1.14 % (3193858)Instruction limit reached!
% 3.87/1.14 % (3193858)------------------------------
% 3.87/1.14 % (3193858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.14 % (3193858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.14 % (3193858)CaDiCaL version: 2.1.3
% 3.87/1.14 % (3193858)Termination reason: Instruction limit
% 3.87/1.14 % (3193858)Termination phase: Saturation
% 3.87/1.14 % (3193858)Time elapsed: 0.090 s
% 3.87/1.14 % (3193858)Peak memory usage: 91 MB
% 3.87/1.14 % (3193858)Instructions burned: 286 (million)
% 3.87/1.14 % (3193870)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=1548208636:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.87/1.14 % (3193869)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2836207616:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.87/1.14 % (3193870)First to succeed.
% 3.87/1.14 % (3193870)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3193730"
% 3.87/1.14 % (3193863)------------------------------
% 3.87/1.14 % (3193863)------------------------------
% 3.87/1.14 % (3193886)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=147685354:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 3.87/1.14 % (3193794)Also succeeded, but the first one will report.
% 3.87/1.14 % (3193793)Also succeeded, but the first one will report.
% 3.87/1.14 % (3193869)Instruction limit reached!
% 3.87/1.14 % (3193869)------------------------------
% 3.87/1.14 % (3193869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.14 % (3193869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.14 % (3193869)CaDiCaL version: 2.1.3
% 3.87/1.14 % (3193869)Termination reason: Instruction limit
% 3.87/1.14 % (3193869)Termination phase: Saturation
% 3.87/1.14 % (3193869)Time elapsed: 0.119 s
% 3.87/1.14 % (3193869)Peak memory usage: 91 MB
% 3.87/1.14 % (3193869)Instructions burned: 327 (million)
% 3.87/1.14 % (3193886)Instruction limit reached!
% 3.87/1.14 % (3193886)------------------------------
% 3.87/1.14 % (3193886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.87/1.14 % (3193886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.87/1.14 % (3193886)CaDiCaL version: 2.1.3
% 3.87/1.14 % (3193886)Termination reason: Instruction limit
% 3.87/1.14 % (3193886)Termination phase: Saturation
% 3.87/1.14 % (3193886)Time elapsed: 0.065 s
% 3.87/1.14 % (3193886)Peak memory usage: 88 MB
% 3.87/1.14 % (3193886)Instructions burned: 297 (million)
% 3.87/1.14 % (3193922)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2825622467:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 3.87/1.14 % (3193870)Refutation found. Thanks to Tanya!
% 3.87/1.14 % SZS status Theorem for theBenchmark
% 3.87/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 4.27/1.24 % (3193870)------------------------------
% 4.27/1.24 % (3193870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.27/1.24 % (3193870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.27/1.24 % (3193870)CaDiCaL version: 2.1.3
% 4.27/1.24 % (3193870)Termination reason: Refutation
% 4.27/1.24 % (3193870)Time elapsed: 0.021 s
% 4.27/1.24 % (3193870)Peak memory usage: 89 MB
% 4.27/1.24 % (3193870)Instructions burned: 76 (million)
% 4.27/1.24 % (3193870)------------------------------
% 4.27/1.24 % (3193870)------------------------------
% 4.27/1.24 % (3193730)Success in time 0.572 s
% 4.27/1.24 % Vampire exiting
%------------------------------------------------------------------------------