%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB013+1 : 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 : n018.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 7.49s 2.07s
% Output : Refutation 9.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 75 ( 24 unt; 0 def)
% Number of atoms : 436 ( 5 equ)
% Maximal formula atoms : 24 ( 5 avg)
% Number of connectives : 575 ( 214 ~; 215 |; 129 &)
% ( 10 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 8 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 26 con; 0-4 aty)
% Number of variables : 269 ( 241 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f68,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',rdfs_subclassof_main) ).
fof(f73,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',rdfs_subpropertyof_main) ).
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/sandbox2/benchmark/theBenchmark.p',owl_restrict_somevaluesfrom) ).
fof(f354,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f390,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(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/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f559,conjecture,
iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_013_Cliques) ).
fof(f560,negated_conjecture,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,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(f562,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(flattening,[],[f560]) ).
fof(f570,plain,
! [X0,X1] :
( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f576,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f581,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,[],[f390]) ).
fof(f582,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,[],[f581]) ).
fof(f589,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(f590,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,[],[f589]) ).
fof(f607,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,sK0)
& iext(uri_rdf_type,sK0,uri_owl_Restriction)
& iext(uri_owl_onProperty,sK0,uri_ex_sameCliqueAs)
& iext(uri_owl_someValuesFrom,sK0,uri_ex_Clique)
& iext(uri_rdf_type,uri_foaf_knows,uri_owl_ObjectProperty)
& iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK2)
& iext(uri_rdf_first,sK2,uri_rdf_type)
& iext(uri_rdf_rest,sK2,sK3)
& iext(uri_rdf_first,sK3,uri_ex_sameCliqueAs)
& iext(uri_rdf_rest,sK3,sK4)
& iext(uri_rdf_first,sK4,sK1)
& iext(uri_rdf_rest,sK4,uri_rdf_nil)
& iext(uri_owl_inverseOf,sK1,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,[sK0,sK1,sK2,sK3,sK4]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3),skolemize(X4,sK4)],[f561]) ).
fof(f608,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f623,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(f624,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,[],[f623]) ).
fof(f625,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,[],[f624]) ).
fof(f626,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))],[f625]) ).
fof(f627,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) ) )
& ( ( 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_owl_propertyChainAxiom,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(nnf_transformation,[],[f582]) ).
fof(f628,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) ) )
& ( ( 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_owl_propertyChainAxiom,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(flattening,[],[f627]) ).
fof(f629,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) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ip(X6)
& ! [X11,X12,X13,X14] :
( iext(X0,X11,X14)
| ~ iext(X2,X11,X12)
| ~ iext(X4,X12,X13)
| ~ iext(X6,X13,X14) ) )
| ~ iext(uri_owl_propertyChainAxiom,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(rectify,[],[f628]) ).
fof(f630,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( iext(uri_owl_propertyChainAxiom,X0,X1)
| ~ ip(X0)
| ~ ip(X2)
| ~ ip(X4)
| ~ ip(X6)
| ( ~ iext(X0,sK12(X0,X2,X4,X6),sK15(X0,X2,X4,X6))
& iext(X2,sK12(X0,X2,X4,X6),sK13(X0,X2,X4,X6))
& iext(X4,sK13(X0,X2,X4,X6),sK14(X0,X2,X4,X6))
& iext(X6,sK14(X0,X2,X4,X6),sK15(X0,X2,X4,X6)) ) )
& ( ( ip(X0)
& ip(X2)
& ip(X4)
& ip(X6)
& ! [X11,X12,X13,X14] :
( iext(X0,X11,X14)
| ~ iext(X2,X11,X12)
| ~ iext(X4,X12,X13)
| ~ iext(X6,X13,X14) ) )
| ~ iext(uri_owl_propertyChainAxiom,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(skolemize,[status(esa),new_symbols(skolem,[sK12,sK13,sK14,sK15]),skolemize(X7,sK12(X0,X2,X4,X6)),skolemize(X8,sK13(X0,X2,X4,X6)),skolemize(X9,sK14(X0,X2,X4,X6)),skolemize(X10,sK15(X0,X2,X4,X6))],[f629]) ).
fof(f643,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f354]) ).
fof(f644,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,[],[f590]) ).
fof(f645,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,[],[f644]) ).
fof(f646,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK22(X1,X2,X3))
& icext(X2,sK22(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,[sK22]),skolemize(X5,sK22(X1,X2,X3))],[f645]) ).
fof(f658,plain,
~ iext(uri_foaf_knows,uri_ex_alice,uri_ex_bob),
inference(cnf_transformation,[],[f562]) ).
fof(f659,plain,
iext(uri_rdf_type,uri_ex_bob,uri_ex_JoesGang),
inference(cnf_transformation,[],[f607]) ).
fof(f660,plain,
iext(uri_rdf_type,uri_ex_alice,uri_ex_JoesGang),
inference(cnf_transformation,[],[f607]) ).
fof(f661,plain,
iext(uri_rdf_type,uri_ex_JoesGang,uri_ex_Clique),
inference(cnf_transformation,[],[f607]) ).
fof(f662,plain,
iext(uri_owl_inverseOf,sK1,uri_rdf_type),
inference(cnf_transformation,[],[f607]) ).
fof(f663,plain,
iext(uri_rdf_rest,sK4,uri_rdf_nil),
inference(cnf_transformation,[],[f607]) ).
fof(f664,plain,
iext(uri_rdf_first,sK4,sK1),
inference(cnf_transformation,[],[f607]) ).
fof(f665,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(cnf_transformation,[],[f607]) ).
fof(f666,plain,
iext(uri_rdf_first,sK3,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f607]) ).
fof(f667,plain,
iext(uri_rdf_rest,sK2,sK3),
inference(cnf_transformation,[],[f607]) ).
fof(f668,plain,
iext(uri_rdf_first,sK2,uri_rdf_type),
inference(cnf_transformation,[],[f607]) ).
fof(f669,plain,
iext(uri_owl_propertyChainAxiom,uri_foaf_knows,sK2),
inference(cnf_transformation,[],[f607]) ).
fof(f671,plain,
iext(uri_owl_someValuesFrom,sK0,uri_ex_Clique),
inference(cnf_transformation,[],[f607]) ).
fof(f672,plain,
iext(uri_owl_onProperty,sK0,uri_ex_sameCliqueAs),
inference(cnf_transformation,[],[f607]) ).
fof(f674,plain,
iext(uri_rdfs_subClassOf,uri_ex_Clique,sK0),
inference(cnf_transformation,[],[f607]) ).
fof(f676,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_sameCliqueAs,uri_owl_sameAs),
inference(cnf_transformation,[],[f607]) ).
fof(f678,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f608]) ).
fof(f695,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ iext(X0,X2,X3)
| iext(X1,X2,X3) ),
inference(cnf_transformation,[],[f570]) ).
fof(f708,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ icext(X0,X2)
| icext(X1,X2) ),
inference(cnf_transformation,[],[f576]) ).
fof(f723,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ),
inference(cnf_transformation,[],[f626]) ).
fof(f732,plain,
! [X2,X3,X0,X11,X1,X6,X14,X4,X5,X12,X13] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(X2,X11,X12)
| ~ iext(X4,X12,X13)
| ~ iext(X6,X13,X14)
| ~ iext(uri_owl_propertyChainAxiom,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(X0,X11,X14) ),
inference(cnf_transformation,[],[f630]) ).
fof(f759,plain,
! [X0,X1] :
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f643]) ).
fof(f765,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ icext(X0,X3)
| iext(X1,X3,sK22(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f646]) ).
fof(f861,plain,
! [X0,X1] :
( iext(sK1,X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(resolution,[],[f723,f662]) ).
fof(f863,plain,
icext(uri_ex_Clique,uri_ex_JoesGang),
inference(resolution,[],[f661,f678]) ).
fof(f890,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ iext(uri_rdf_rest,X9,sK4)
| ~ iext(X3,X2,X4)
| ~ iext(X5,X4,X6)
| ~ iext(uri_owl_propertyChainAxiom,X7,X8)
| ~ iext(uri_rdf_first,X8,X0)
| ~ iext(uri_rdf_rest,X8,X9)
| ~ iext(uri_rdf_first,X9,X3)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK4,X5)
| iext(X7,X1,X6) ),
inference(resolution,[],[f732,f663]) ).
fof(f891,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ iext(uri_rdf_rest,X6,sK3)
| ~ iext(X3,X2,X4)
| ~ iext(uri_owl_propertyChainAxiom,X5,X6)
| ~ iext(uri_rdf_first,X6,X7)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(X7,X8,X1)
| ~ iext(uri_rdf_first,sK4,X3)
| iext(X5,X8,X4) ),
inference(resolution,[],[f890,f665]) ).
fof(f892,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ iext(uri_owl_propertyChainAxiom,X3,sK2)
| ~ iext(X0,X1,X2)
| ~ iext(uri_rdf_first,sK2,X4)
| ~ iext(X5,X6,X1)
| ~ iext(uri_rdf_first,sK3,X5)
| ~ iext(X4,X7,X6)
| ~ iext(uri_rdf_first,sK4,X0)
| iext(X3,X7,X2) ),
inference(resolution,[],[f891,f667]) ).
fof(f893,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(uri_rdf_first,sK2,X3)
| ~ iext(X4,X5,X1)
| ~ iext(uri_rdf_first,sK3,X4)
| ~ iext(X3,X6,X5)
| ~ iext(X0,X1,X2)
| iext(uri_foaf_knows,X6,X2) ),
inference(resolution,[],[f892,f669]) ).
fof(f894,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_first,sK3,X1)
| ~ iext(X1,X2,X3)
| ~ iext(uri_rdf_first,sK2,X0)
| ~ iext(X0,X4,X2)
| ~ iext(sK1,X3,X5)
| iext(uri_foaf_knows,X4,X5) ),
inference(resolution,[],[f893,f664]) ).
fof(f895,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_ex_sameCliqueAs,X0,X1)
| ~ iext(uri_rdf_first,sK2,X2)
| ~ iext(X2,X3,X0)
| ~ iext(sK1,X1,X4)
| iext(uri_foaf_knows,X3,X4) ),
inference(resolution,[],[f894,f666]) ).
fof(f896,plain,
! [X0,X1] :
( ~ icext(sK0,X0)
| iext(X1,X0,sK22(X1,uri_ex_Clique,X0))
| ~ iext(uri_owl_onProperty,sK0,X1) ),
inference(resolution,[],[f765,f671]) ).
fof(f901,plain,
! [X0] :
( icext(sK0,X0)
| ~ icext(uri_ex_Clique,X0) ),
inference(resolution,[],[f708,f674]) ).
fof(f904,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,sK0,X1)
| iext(X1,X0,sK22(X1,uri_ex_Clique,X0))
| ~ icext(uri_ex_Clique,X0) ),
inference(resolution,[],[f901,f896]) ).
fof(f905,plain,
! [X0] :
( ~ icext(uri_ex_Clique,X0)
| iext(uri_ex_sameCliqueAs,X0,sK22(uri_ex_sameCliqueAs,uri_ex_Clique,X0)) ),
inference(resolution,[],[f904,f672]) ).
fof(f906,plain,
iext(uri_ex_sameCliqueAs,uri_ex_JoesGang,sK22(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)),
inference(resolution,[],[f905,f863]) ).
fof(f909,plain,
! [X2,X0,X1] :
( ~ iext(sK1,sK22(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang),X2)
| ~ iext(X0,X1,uri_ex_JoesGang)
| ~ iext(uri_rdf_first,sK2,X0)
| iext(uri_foaf_knows,X1,X2) ),
inference(resolution,[],[f906,f895]) ).
fof(f918,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK2,X0)
| ~ iext(X0,X1,uri_ex_JoesGang)
| iext(uri_foaf_knows,X1,X2)
| ~ iext(uri_rdf_type,X2,sK22(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)) ),
inference(resolution,[],[f909,f861]) ).
fof(f919,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X1,sK22(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang))
| iext(uri_foaf_knows,X0,X1)
| ~ iext(uri_rdf_type,X0,uri_ex_JoesGang) ),
inference(resolution,[],[f918,f668]) ).
fof(f1014,plain,
! [X0,X1] :
( ~ iext(uri_ex_sameCliqueAs,X0,X1)
| iext(uri_owl_sameAs,X0,X1) ),
inference(resolution,[],[f676,f695]) ).
fof(f1016,plain,
iext(uri_owl_sameAs,uri_ex_JoesGang,sK22(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang)),
inference(resolution,[],[f1014,f906]) ).
fof(f1019,plain,
uri_ex_JoesGang = sK22(uri_ex_sameCliqueAs,uri_ex_Clique,uri_ex_JoesGang),
inference(resolution,[],[f1016,f759]) ).
fof(f1023,plain,
! [X0,X1] :
( iext(uri_foaf_knows,X1,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_JoesGang)
| ~ iext(uri_rdf_type,X1,uri_ex_JoesGang) ),
inference(superposition,[],[f919,f1019]) ).
fof(f1037,plain,
$false,
inference(unit_resulting_resolution,[],[f1023,f660,f658,f659]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB013+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:01:24 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.49/2.07 % (3192322)Detected formulas, will run a generic FOF schedule.
% 7.49/2.07 % (3192341)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=3859674644:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.49/2.07 % (3192345)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1164913027:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.49/2.07 % (3192344)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2177235035:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.49/2.07 % (3192340)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=872507434:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.49/2.07 % (3192342)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=1299490373:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.49/2.07 % (3192344)Refutation not found, incomplete strategy
% 7.49/2.07 % (3192344)------------------------------
% 7.49/2.07 % (3192344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.07 % (3192344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.07 % (3192344)CaDiCaL version: 2.1.3
% 7.49/2.07 % (3192344)Termination reason: Refutation not found, incomplete strategy
% 7.49/2.07 % (3192344)Time elapsed: 0.002 s
% 7.49/2.07 % (3192344)Peak memory usage: 87 MB
% 7.49/2.07 % (3192344)Instructions burned: 2 (million)
% 7.49/2.07 % (3192346)dis-21_1_sil=8000:lcm=predicate:random_seed=570717123: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)
% 7.49/2.07 % (3192343)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2107317408:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.49/2.07 % (3192343)Refutation not found, incomplete strategy
% 7.49/2.07 % (3192343)------------------------------
% 7.49/2.07 % (3192343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.07 % (3192343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.07 % (3192343)CaDiCaL version: 2.1.3
% 7.49/2.07 % (3192343)Termination reason: Refutation not found, incomplete strategy
% 7.49/2.07 % (3192343)Time elapsed: 0.003 s
% 7.49/2.07 % (3192343)Peak memory usage: 87 MB
% 7.49/2.07 % (3192343)Instructions burned: 1 (million)
% 7.49/2.07 % (3192345)Instruction limit reached!
% 7.49/2.07 % (3192345)------------------------------
% 7.49/2.07 % (3192345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.07 % (3192345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.07 % (3192345)CaDiCaL version: 2.1.3
% 7.49/2.07 % (3192345)Termination reason: Instruction limit
% 7.49/2.07 % (3192345)Termination phase: Saturation
% 7.49/2.07 % (3192345)Time elapsed: 0.084 s
% 7.49/2.07 % (3192345)Peak memory usage: 91 MB
% 7.49/2.07 % (3192345)Instructions burned: 139 (million)
% 7.49/2.07 % (3192346)Instruction limit reached!
% 7.49/2.07 % (3192346)------------------------------
% 7.49/2.07 % (3192346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.07 % (3192346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.07 % (3192346)CaDiCaL version: 2.1.3
% 7.49/2.07 % (3192346)Termination reason: Instruction limit
% 7.49/2.07 % (3192346)Termination phase: Saturation
% 7.49/2.07 % (3192346)Time elapsed: 0.069 s
% 7.49/2.07 % (3192346)Peak memory usage: 91 MB
% 7.49/2.07 % (3192346)Instructions burned: 131 (million)
% 7.49/2.07 % (3192344)------------------------------
% 7.49/2.07 % (3192344)------------------------------
% 7.49/2.07 % (3192361)lrs+10_1_sil=8000:sp=occurrence:random_seed=754701646:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.49/2.07 % (3192363)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2274918697:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.49/2.07 % (3192343)------------------------------
% 7.49/2.07 % (3192343)------------------------------
% 7.49/2.07 % (3192363)Refutation not found, incomplete strategy
% 7.49/2.07 % (3192363)------------------------------
% 7.49/2.07 % (3192363)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.07 % (3192363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.07 % (3192363)CaDiCaL version: 2.1.3
% 7.49/2.07 % (3192363)Termination reason: Refutation not found, incomplete strategy
% 7.49/2.07 % (3192363)Time elapsed: 0.007 s
% 7.49/2.07 % (3192363)Peak memory usage: 88 MB
% 7.49/2.07 % (3192363)Instructions burned: 6 (million)
% 7.49/2.07 % (3192371)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3739911579:i=325:sd=1:ss=axioms:sgt=32_2994 on theBenchmark for (2994ds/325Mi)
% 7.49/2.07 % (3192371)Refutation not found, incomplete strategy
% 7.49/2.07 % (3192371)------------------------------
% 7.49/2.07 % (3192371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.07 % (3192371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.07 % (3192371)CaDiCaL version: 2.1.3
% 7.49/2.07 % (3192371)Termination reason: Refutation not found, incomplete strategy
% 7.49/2.07 % (3192371)Time elapsed: 0.002 s
% 7.49/2.07 % (3192371)Peak memory usage: 88 MB
% 7.49/2.07 % (3192371)Instructions burned: 2 (million)
% 7.49/2.07 % (3192341)First to succeed.
% 7.49/2.07 % (3192341)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3192322"
% 7.49/2.07 % (3192374)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=2696164120:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 7.49/2.07 % (3192361)Instruction limit reached!
% 7.49/2.07 % (3192361)------------------------------
% 7.49/2.07 % (3192361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.07 % (3192361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.07 % (3192361)CaDiCaL version: 2.1.3
% 7.49/2.07 % (3192361)Termination reason: Instruction limit
% 7.49/2.07 % (3192361)Termination phase: Saturation
% 7.49/2.07 % (3192361)Time elapsed: 0.270 s
% 7.49/2.07 % (3192361)Peak memory usage: 94 MB
% 7.49/2.07 % (3192361)Instructions burned: 285 (million)
% 7.49/2.07 % (3192371)------------------------------
% 7.49/2.07 % (3192371)------------------------------
% 7.49/2.07 % (3192363)------------------------------
% 7.49/2.07 % (3192363)------------------------------
% 7.49/2.07 % (3192374)Instruction limit reached!
% 7.49/2.07 % (3192374)------------------------------
% 7.49/2.07 % (3192374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.49/2.07 % (3192374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.49/2.07 % (3192374)CaDiCaL version: 2.1.3
% 7.49/2.07 % (3192374)Termination reason: Instruction limit
% 7.49/2.07 % (3192374)Termination phase: Saturation
% 7.49/2.07 % (3192374)Time elapsed: 0.226 s
% 7.49/2.07 % (3192374)Peak memory usage: 91 MB
% 7.49/2.07 % (3192374)Instructions burned: 248 (million)
% 7.49/2.07 % (3192380)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1964813732:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 7.49/2.07 % (3192381)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=488419533:i=2350_2990 on theBenchmark for (2990ds/2350Mi)
% 7.49/2.07 % (3192341)Refutation found. Thanks to Tanya!
% 7.49/2.07 % SZS status Theorem for theBenchmark
% 7.49/2.07 % SZS output start Proof for theBenchmark
% See solution above
% 9.14/2.34 % (3192341)------------------------------
% 9.14/2.34 % (3192341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.14/2.34 % (3192341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.14/2.34 % (3192341)CaDiCaL version: 2.1.3
% 9.14/2.34 % (3192341)Termination reason: Refutation
% 9.14/2.34 % (3192341)Time elapsed: 0.651 s
% 9.14/2.34 % (3192341)Peak memory usage: 131 MB
% 9.14/2.34 % (3192341)Instructions burned: 1029 (million)
% 9.14/2.34 % (3192341)------------------------------
% 9.14/2.34 % (3192341)------------------------------
% 9.14/2.34 % (3192322)Success in time 1.215 s
% 9.14/2.34 % Vampire exiting
%------------------------------------------------------------------------------