%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB010+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 : n011.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 01:00:33 PM UTC 2026
% Result : Theorem 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 12
% Syntax : Number of formulae : 94 ( 18 unt; 2 def)
% Number of atoms : 361 ( 20 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 432 ( 165 ~; 176 |; 70 &)
% ( 14 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-3 aty)
% Number of variables : 175 ( 0 sgn 161 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ir(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f3,axiom,
! [X0,X1] :
( iext(uri_owl_sourceIndividual,X0,X1)
=> ( icext(uri_owl_NegativePropertyAssertion,X0)
& ir(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_sourceindividual_ext) ).
fof(f4,axiom,
! [X0,X1] :
( iext(uri_owl_onProperty,X0,X1)
=> ( icext(uri_owl_Restriction,X0)
& ip(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_onproperty_ext) ).
fof(f5,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f6,axiom,
! [X0,X1,X2] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_allValuesFrom,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_allvaluesfrom) ).
fof(f8,axiom,
! [X0,X1,X2] :
( ( ir(X1)
& ip(X0)
& ir(X2)
& ~ iext(X0,X1,X2) )
=> ? [X3] :
( iext(uri_owl_sourceIndividual,X3,X1)
& iext(uri_owl_assertionProperty,X3,X0)
& iext(uri_owl_targetIndividual,X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_npa_object_fi) ).
fof(f9,conjecture,
? [X0] :
( iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion)
& iext(uri_owl_sourceIndividual,X0,uri_ex_s)
& iext(uri_owl_assertionProperty,X0,uri_ex_p)
& iext(uri_owl_targetIndividual,X0,uri_ex_o) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_010_Negative_Property_Assertions) ).
fof(f10,negated_conjecture,
~ ? [X0] :
( iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion)
& iext(uri_owl_sourceIndividual,X0,uri_ex_s)
& iext(uri_owl_assertionProperty,X0,uri_ex_p)
& iext(uri_owl_targetIndividual,X0,uri_ex_o) ),
inference(negated_conjecture,[status(cth)],[f9]) ).
fof(f11,axiom,
? [X0,X1,X2,X3] :
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_s,X0)
& iext(uri_owl_onProperty,X0,uri_ex_p)
& iext(uri_owl_allValuesFrom,X0,X1)
& iext(uri_owl_complementOf,X1,X2)
& iext(uri_owl_oneOf,X2,X3)
& iext(uri_rdf_first,X3,uri_ex_o)
& iext(uri_rdf_rest,X3,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_010_Negative_Property_Assertions) ).
fof(f12,plain,
! [X0,X1] :
( ( icext(uri_owl_NegativePropertyAssertion,X0)
& ir(X1) )
| ~ iext(uri_owl_sourceIndividual,X0,X1) ),
inference(ennf_transformation,[],[f3]) ).
fof(f13,plain,
! [X0,X1] :
( ( icext(uri_owl_Restriction,X0)
& ip(X1) )
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f4]) ).
fof(f14,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f5]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(ennf_transformation,[],[f6]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4] :
( icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ! [X4] :
( icext(X2,X4)
| ~ iext(X1,X3,X4) ) )
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ? [X3] :
( iext(uri_owl_sourceIndividual,X3,X1)
& iext(uri_owl_assertionProperty,X3,X0)
& iext(uri_owl_targetIndividual,X3,X2) )
| ~ ir(X1)
| ~ ip(X0)
| ~ ir(X2)
| iext(X0,X1,X2) ),
inference(ennf_transformation,[],[f8]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ? [X3] :
( iext(uri_owl_sourceIndividual,X3,X1)
& iext(uri_owl_assertionProperty,X3,X0)
& iext(uri_owl_targetIndividual,X3,X2) )
| ~ ir(X1)
| ~ ip(X0)
| ~ ir(X2)
| iext(X0,X1,X2) ),
inference(flattening,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_owl_targetIndividual,X0,uri_ex_o) ),
inference(ennf_transformation,[],[f10]) ).
fof(f22,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f23,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(nnf_transformation,[],[f14]) ).
fof(f24,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(nnf_transformation,[],[f16]) ).
fof(f25,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(rectify,[],[f25]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( sK0(X0,X2) != X2
| ~ icext(X0,sK0(X0,X2)) )
& ( sK0(X0,X2) = X2
| icext(X0,sK0(X0,X2)) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X2))],[f26]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ? [X4] :
( ~ icext(X2,X4)
& iext(X1,X3,X4) ) )
& ( ! [X4] :
( icext(X2,X4)
| ~ iext(X1,X3,X4) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(nnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ? [X4] :
( ~ icext(X2,X4)
& iext(X1,X3,X4) ) )
& ( ! [X5] :
( icext(X2,X5)
| ~ iext(X1,X3,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(rectify,[],[f28]) ).
fof(f30,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ( ~ icext(X2,sK1(X1,X2,X3))
& iext(X1,X3,sK1(X1,X2,X3)) ) )
& ( ! [X5] :
( icext(X2,X5)
| ~ iext(X1,X3,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X4,sK1(X1,X2,X3))],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1)
& iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0)
& iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2) )
| ~ ir(X1)
| ~ ip(X0)
| ~ ir(X2)
| iext(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f20]) ).
fof(f32,plain,
( iext(uri_rdf_type,uri_ex_p,uri_owl_ObjectProperty)
& iext(uri_rdf_type,uri_ex_s,sK3)
& iext(uri_owl_onProperty,sK3,uri_ex_p)
& iext(uri_owl_allValuesFrom,sK3,sK4)
& iext(uri_owl_complementOf,sK4,sK5)
& iext(uri_owl_oneOf,sK5,sK6)
& iext(uri_rdf_first,sK6,uri_ex_o)
& iext(uri_rdf_rest,sK6,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f11]) ).
fof(f33,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f34,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f35,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f22]) ).
fof(f37,plain,
! [X0,X1] :
( ~ iext(uri_owl_sourceIndividual,X0,X1)
| icext(uri_owl_NegativePropertyAssertion,X0) ),
inference(cnf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ip(X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X0,X2)
| ~ icext(X1,X2) ),
inference(cnf_transformation,[],[f23]) ).
fof(f45,plain,
! [X2,X0,X1,X4] :
( icext(X0,X4)
| X2 != X4
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(cnf_transformation,[],[f27]) ).
fof(f49,plain,
! [X2,X3,X0,X1,X5] :
( ~ iext(uri_owl_allValuesFrom,X0,X2)
| ~ iext(X1,X3,X5)
| ~ icext(X0,X3)
| icext(X2,X5)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f52,plain,
! [X2,X0,X1] :
( iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2)
| ~ ir(X1)
| ~ ip(X0)
| ~ ir(X2)
| iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f53,plain,
! [X2,X0,X1] :
( iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0)
| ~ ir(X1)
| ~ ip(X0)
| ~ ir(X2)
| iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f54,plain,
! [X2,X0,X1] :
( iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1)
| ~ ir(X1)
| ~ ip(X0)
| ~ ir(X2)
| iext(X0,X1,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f55,plain,
! [X0] :
( ~ iext(uri_owl_targetIndividual,X0,uri_ex_o)
| ~ iext(uri_owl_sourceIndividual,X0,uri_ex_s)
| ~ iext(uri_owl_assertionProperty,X0,uri_ex_p)
| ~ iext(uri_rdf_type,X0,uri_owl_NegativePropertyAssertion) ),
inference(cnf_transformation,[],[f21]) ).
fof(f56,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f32]) ).
fof(f57,plain,
iext(uri_rdf_first,sK6,uri_ex_o),
inference(cnf_transformation,[],[f32]) ).
fof(f58,plain,
iext(uri_owl_oneOf,sK5,sK6),
inference(cnf_transformation,[],[f32]) ).
fof(f59,plain,
iext(uri_owl_complementOf,sK4,sK5),
inference(cnf_transformation,[],[f32]) ).
fof(f60,plain,
iext(uri_owl_allValuesFrom,sK3,sK4),
inference(cnf_transformation,[],[f32]) ).
fof(f61,plain,
iext(uri_owl_onProperty,sK3,uri_ex_p),
inference(cnf_transformation,[],[f32]) ).
fof(f62,plain,
iext(uri_rdf_type,uri_ex_s,sK3),
inference(cnf_transformation,[],[f32]) ).
fof(f64,plain,
! [X0,X1,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| icext(X0,X4)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(equality_resolution,[],[f45]) ).
fof(f65,plain,
ip(uri_ex_p),
inference(resolution,[],[f38,f61]) ).
fof(f68,plain,
icext(sK3,uri_ex_s),
inference(resolution,[],[f34,f62]) ).
fof(f72,plain,
! [X0] :
( ~ icext(sK5,X0)
| ~ icext(sK4,X0) ),
inference(resolution,[],[f40,f59]) ).
fof(f76,plain,
! [X0] :
( icext(sK5,X0)
| ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil) ),
inference(resolution,[],[f64,f58]) ).
fof(f77,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK6,X0)
| icext(sK5,X0) ),
inference(forward_subsumption_resolution,[],[f76,f56]) ).
fof(f78,plain,
icext(sK5,uri_ex_o),
inference(resolution,[],[f77,f57]) ).
fof(f80,plain,
~ icext(sK4,uri_ex_o),
inference(resolution,[],[f78,f72]) ).
fof(f81,plain,
! [X2,X0,X1] :
( iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2)
| ~ ip(X0)
| ~ ir(X2)
| iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f52,f33]) ).
fof(f82,plain,
! [X2,X0,X1] :
( iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2)
| ~ ip(X0)
| iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f81,f33]) ).
fof(f83,plain,
! [X0,X1] :
( ~ iext(uri_owl_assertionProperty,sK2(X0,X1,uri_ex_o),uri_ex_p)
| iext(X0,X1,uri_ex_o)
| ~ iext(uri_owl_sourceIndividual,sK2(X0,X1,uri_ex_o),uri_ex_s)
| ~ ip(X0)
| ~ iext(uri_rdf_type,sK2(X0,X1,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
inference(resolution,[],[f82,f55]) ).
fof(f84,plain,
! [X2,X0,X1] :
( iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0)
| ~ ip(X0)
| ~ ir(X2)
| iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f53,f33]) ).
fof(f85,plain,
! [X2,X0,X1] :
( iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0)
| ~ ip(X0)
| iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f84,f33]) ).
fof(f86,plain,
! [X0] :
( ~ ip(uri_ex_p)
| iext(uri_ex_p,X0,uri_ex_o)
| iext(uri_ex_p,X0,uri_ex_o)
| ~ iext(uri_owl_sourceIndividual,sK2(uri_ex_p,X0,uri_ex_o),uri_ex_s)
| ~ ip(uri_ex_p)
| ~ iext(uri_rdf_type,sK2(uri_ex_p,X0,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
inference(resolution,[],[f85,f83]) ).
fof(f87,plain,
! [X0] :
( ~ ip(uri_ex_p)
| iext(uri_ex_p,X0,uri_ex_o)
| ~ iext(uri_owl_sourceIndividual,sK2(uri_ex_p,X0,uri_ex_o),uri_ex_s)
| ~ iext(uri_rdf_type,sK2(uri_ex_p,X0,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
inference(duplicate_literal_removal,[],[f86]) ).
fof(f88,plain,
! [X0] :
( ~ iext(uri_owl_sourceIndividual,sK2(uri_ex_p,X0,uri_ex_o),uri_ex_s)
| iext(uri_ex_p,X0,uri_ex_o)
| ~ iext(uri_rdf_type,sK2(uri_ex_p,X0,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
inference(forward_subsumption_resolution,[],[f87,f65]) ).
fof(f89,plain,
! [X2,X0,X1] :
( iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1)
| ~ ip(X0)
| ~ ir(X2)
| iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f54,f33]) ).
fof(f90,plain,
! [X2,X0,X1] :
( iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1)
| ~ ip(X0)
| iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f89,f33]) ).
fof(f91,plain,
( ~ ip(uri_ex_p)
| iext(uri_ex_p,uri_ex_s,uri_ex_o)
| iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
inference(resolution,[],[f90,f88]) ).
fof(f92,plain,
! [X2,X0,X1] :
( icext(uri_owl_NegativePropertyAssertion,sK2(X0,X1,X2))
| iext(X0,X1,X2)
| ~ ip(X0) ),
inference(resolution,[],[f90,f37]) ).
fof(f93,plain,
( ~ ip(uri_ex_p)
| iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
inference(duplicate_literal_removal,[],[f91]) ).
fof(f94,plain,
( iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
inference(forward_subsumption_resolution,[],[f93,f65]) ).
fof(f96,definition,
( spl7_1
<=> iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f98,plain,
( ~ iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion)
| spl7_1 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f100,definition,
( spl7_2
<=> iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f102,plain,
( iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f103,plain,
( ~ spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f94,f100,f96]) ).
fof(f104,plain,
( ~ icext(uri_owl_NegativePropertyAssertion,sK2(uri_ex_p,uri_ex_s,uri_ex_o))
| spl7_1 ),
inference(resolution,[],[f98,f35]) ).
fof(f107,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onProperty,sK3,X0)
| ~ icext(sK3,X1)
| icext(sK4,X2)
| ~ iext(X0,X1,X2) ),
inference(resolution,[],[f49,f60]) ).
fof(f115,plain,
( iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ ip(uri_ex_p)
| spl7_1 ),
inference(resolution,[],[f92,f104]) ).
fof(f116,plain,
( iext(uri_ex_p,uri_ex_s,uri_ex_o)
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f115,f65]) ).
fof(f117,plain,
( spl7_2
| spl7_1 ),
inference(avatar_split_clause,[],[f116,f96,f100]) ).
fof(f118,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X0,X1)
| icext(sK4,X1)
| ~ icext(sK3,X0) ),
inference(resolution,[],[f107,f61]) ).
fof(f239,plain,
( icext(sK4,uri_ex_o)
| ~ icext(sK3,uri_ex_s)
| ~ spl7_2 ),
inference(resolution,[],[f118,f102]) ).
fof(f240,plain,
( ~ icext(sK3,uri_ex_s)
| ~ spl7_2 ),
inference(forward_subsumption_resolution,[],[f239,f80]) ).
fof(f241,plain,
( $false
| ~ spl7_2 ),
inference(forward_subsumption_resolution,[],[f240,f68]) ).
fof(f242,plain,
~ spl7_2,
inference(avatar_contradiction_clause,[],[f241]) ).
cnf(s1,plain,
( ~ spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f103]) ).
cnf(s2,plain,
( spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f117]) ).
cnf(s19,plain,
~ spl7_2,
inference(sat_conversion,[],[f242]) ).
cnf(s20,plain,
spl7_1,
inference(rat,[],[s2,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s1,s19,s20]) ).
fof(f243,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB010+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n011.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 06:58:25 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.17/0.47 % (3216960)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (3216968)dis+10_1_sil=32000:sp=arity:random_seed=386506425:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (3216968) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3216960-3216968"...
% 0.17/0.47 % (3216966)% WARNING: option uhcvi not known.
% 0.17/0.47 % (3216968)...printing done.
% 0.17/0.47 % (3216968)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Theorem for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.48 % (3216968)------------------------------
% 0.17/0.48 % (3216968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.48 % (3216968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.48 % (3216968)CaDiCaL version: 2.1.3
% 0.17/0.48 % (3216968)Termination reason: Refutation
% 0.17/0.48 % (3216968)Time elapsed: 0.004 s
% 0.17/0.48 % (3216968)Peak memory usage: 12 MB
% 0.17/0.48 % (3216968)Instructions burned: 8 (million)
% 0.17/0.48 % (3216960)Success in time 0.04 s
% 0.17/0.48 % Vampire exiting
%------------------------------------------------------------------------------