%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n007.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 01:00:01 PM UTC 2026
% Result : Theorem 2.61s 1.27s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 15
% Syntax : Number of formulae : 112 ( 19 unt; 5 def)
% Number of atoms : 411 ( 20 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 499 ( 200 ~; 205 |; 70 &)
% ( 17 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 6 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 21 con; 0-3 aty)
% Number of variables : 189 ( 0 sgn 175 !; 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] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
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] :
( icext(uri_owl_NegativePropertyAssertion,X0)
| ~ iext(uri_owl_sourceIndividual,X0,X1) ),
inference(cnf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0,X1] :
( ip(X1)
| ~ iext(uri_owl_onProperty,X0,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_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X4)
| icext(X0,X4) ),
inference(equality_resolution,[],[f45]) ).
fof(f65,plain,
! [X0] :
( ~ icext(sK5,X0)
| ~ icext(sK4,X0) ),
inference(resolution,[],[f40,f59]) ).
fof(f69,plain,
! [X0,X1] :
( ~ iext(uri_owl_oneOf,X0,sK6)
| ~ iext(uri_rdf_first,sK6,X1)
| icext(X0,X1) ),
inference(resolution,[],[f64,f56]) ).
fof(f71,plain,
! [X0] :
( icext(sK5,X0)
| ~ iext(uri_rdf_first,sK6,X0) ),
inference(resolution,[],[f69,f58]) ).
fof(f72,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(f73,plain,
! [X2,X0,X1] :
( ~ ip(X0)
| iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2)
| iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f72,f33]) ).
fof(f74,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK6,X0)
| ~ icext(sK4,X0) ),
inference(resolution,[],[f71,f65]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( iext(uri_owl_targetIndividual,sK2(X0,X1,X2),X2)
| iext(X0,X1,X2)
| ~ iext(uri_owl_onProperty,X3,X0) ),
inference(resolution,[],[f73,f38]) ).
fof(f76,plain,
~ icext(sK4,uri_ex_o),
inference(resolution,[],[f74,f57]) ).
fof(f77,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(f78,plain,
! [X2,X0,X1] :
( iext(uri_owl_assertionProperty,sK2(X0,X1,X2),X0)
| ~ ip(X0)
| iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f77,f33]) ).
fof(f83,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(f84,plain,
! [X2,X0,X1] :
( iext(uri_owl_sourceIndividual,sK2(X0,X1,X2),X1)
| ~ ip(X0)
| iext(X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f83,f33]) ).
fof(f89,plain,
! [X2,X0,X1] :
( icext(sK4,X2)
| ~ icext(sK3,X1)
| ~ iext(X0,X1,X2)
| ~ iext(uri_owl_onProperty,sK3,X0) ),
inference(resolution,[],[f49,f60]) ).
fof(f101,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,sK3,X1)
| ~ iext(X1,X0,uri_ex_o)
| ~ icext(sK3,X0) ),
inference(resolution,[],[f89,f76]) ).
fof(f102,plain,
! [X0] :
( ~ iext(uri_ex_p,X0,uri_ex_o)
| ~ icext(sK3,X0) ),
inference(resolution,[],[f101,f61]) ).
fof(f103,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_assertionProperty,sK2(X0,X1,uri_ex_o),uri_ex_p)
| ~ iext(uri_owl_onProperty,X2,X0)
| ~ iext(uri_owl_sourceIndividual,sK2(X0,X1,uri_ex_o),uri_ex_s)
| iext(X0,X1,uri_ex_o)
| ~ iext(uri_rdf_type,sK2(X0,X1,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
inference(resolution,[],[f75,f55]) ).
fof(f104,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,sK2(uri_ex_p,X1,uri_ex_o),uri_ex_s)
| iext(uri_ex_p,X1,uri_ex_o)
| ~ iext(uri_rdf_type,sK2(uri_ex_p,X1,uri_ex_o),uri_owl_NegativePropertyAssertion)
| ~ ip(uri_ex_p)
| iext(uri_ex_p,X1,uri_ex_o) ),
inference(resolution,[],[f103,f78]) ).
fof(f105,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,sK2(uri_ex_p,X1,uri_ex_o),uri_ex_s)
| iext(uri_ex_p,X1,uri_ex_o)
| ~ iext(uri_rdf_type,sK2(uri_ex_p,X1,uri_ex_o),uri_owl_NegativePropertyAssertion)
| ~ ip(uri_ex_p) ),
inference(duplicate_literal_removal,[],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ iext(uri_owl_sourceIndividual,sK2(uri_ex_p,X1,uri_ex_o),uri_ex_s)
| iext(uri_ex_p,X1,uri_ex_o)
| ~ iext(uri_rdf_type,sK2(uri_ex_p,X1,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
inference(forward_subsumption_resolution,[],[f105,f38]) ).
fof(f108,definition,
( spl7_1
<=> ! [X1] :
( ~ iext(uri_owl_sourceIndividual,sK2(uri_ex_p,X1,uri_ex_o),uri_ex_s)
| ~ iext(uri_rdf_type,sK2(uri_ex_p,X1,uri_ex_o),uri_owl_NegativePropertyAssertion)
| iext(uri_ex_p,X1,uri_ex_o) ) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f109,plain,
( ! [X1] :
( ~ iext(uri_owl_sourceIndividual,sK2(uri_ex_p,X1,uri_ex_o),uri_ex_s)
| ~ iext(uri_rdf_type,sK2(uri_ex_p,X1,uri_ex_o),uri_owl_NegativePropertyAssertion)
| iext(uri_ex_p,X1,uri_ex_o) )
| ~ spl7_1 ),
inference(avatar_component_clause,[],[f108]) ).
fof(f111,definition,
( spl7_2
<=> ! [X0] : ~ iext(uri_owl_onProperty,X0,uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f112,plain,
( ! [X0] : ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| ~ spl7_2 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f113,plain,
( spl7_1
| spl7_2 ),
inference(avatar_split_clause,[],[f106,f111,f108]) ).
fof(f115,plain,
( $false
| ~ spl7_2 ),
inference(resolution,[],[f112,f61]) ).
fof(f116,plain,
~ spl7_2,
inference(avatar_contradiction_clause,[],[f115]) ).
fof(f120,plain,
( ~ iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion)
| iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ ip(uri_ex_p)
| iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ spl7_1 ),
inference(resolution,[],[f109,f84]) ).
fof(f121,plain,
( ~ iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion)
| iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ ip(uri_ex_p)
| ~ spl7_1 ),
inference(duplicate_literal_removal,[],[f120]) ).
fof(f123,definition,
( spl7_3
<=> ip(uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl7_3])],[avatar_definition]) ).
fof(f124,plain,
( ip(uri_ex_p)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f125,plain,
( ~ ip(uri_ex_p)
| spl7_3 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f127,definition,
( spl7_4
<=> iext(uri_ex_p,uri_ex_s,uri_ex_o) ),
introduced(definition,[new_symbols(definition,[spl7_4])],[avatar_definition]) ).
fof(f129,plain,
( iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f127]) ).
fof(f131,definition,
( spl7_5
<=> iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion) ),
introduced(definition,[new_symbols(definition,[spl7_5])],[avatar_definition]) ).
fof(f133,plain,
( ~ iext(uri_rdf_type,sK2(uri_ex_p,uri_ex_s,uri_ex_o),uri_owl_NegativePropertyAssertion)
| spl7_5 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f134,plain,
( ~ spl7_3
| spl7_4
| ~ spl7_5
| ~ spl7_1 ),
inference(avatar_split_clause,[],[f121,f108,f131,f127,f123]) ).
fof(f135,plain,
( ! [X0] : ~ iext(uri_owl_onProperty,X0,uri_ex_p)
| spl7_3 ),
inference(resolution,[],[f125,f38]) ).
fof(f136,plain,
( spl7_2
| spl7_3 ),
inference(avatar_split_clause,[],[f135,f123,f111]) ).
fof(f141,plain,
( ~ icext(uri_owl_NegativePropertyAssertion,sK2(uri_ex_p,uri_ex_s,uri_ex_o))
| spl7_5 ),
inference(resolution,[],[f133,f35]) ).
fof(f142,plain,
( ! [X0] : ~ iext(uri_owl_sourceIndividual,sK2(uri_ex_p,uri_ex_s,uri_ex_o),X0)
| spl7_5 ),
inference(resolution,[],[f141,f37]) ).
fof(f148,plain,
( ~ ip(uri_ex_p)
| iext(uri_ex_p,uri_ex_s,uri_ex_o)
| spl7_5 ),
inference(resolution,[],[f142,f84]) ).
fof(f149,plain,
( iext(uri_ex_p,uri_ex_s,uri_ex_o)
| ~ spl7_3
| spl7_5 ),
inference(forward_subsumption_resolution,[],[f148,f124]) ).
fof(f150,plain,
( spl7_4
| ~ spl7_3
| spl7_5 ),
inference(avatar_split_clause,[],[f149,f131,f123,f127]) ).
fof(f151,plain,
( ~ icext(sK3,uri_ex_s)
| ~ spl7_4 ),
inference(resolution,[],[f129,f102]) ).
fof(f155,plain,
( ~ iext(uri_rdf_type,uri_ex_s,sK3)
| ~ spl7_4 ),
inference(resolution,[],[f151,f34]) ).
fof(f156,plain,
( $false
| ~ spl7_4 ),
inference(forward_subsumption_resolution,[],[f155,f62]) ).
fof(f157,plain,
~ spl7_4,
inference(avatar_contradiction_clause,[],[f156]) ).
cnf(s1,plain,
( spl7_1
| spl7_2 ),
inference(sat_conversion,[],[f113]) ).
cnf(s2,plain,
~ spl7_2,
inference(sat_conversion,[],[f116]) ).
cnf(s3,plain,
( ~ spl7_1
| ~ spl7_3
| spl7_4
| ~ spl7_5 ),
inference(sat_conversion,[],[f134]) ).
cnf(s4,plain,
( spl7_2
| spl7_3 ),
inference(sat_conversion,[],[f136]) ).
cnf(s5,plain,
( ~ spl7_3
| spl7_4
| spl7_5 ),
inference(sat_conversion,[],[f150]) ).
cnf(s6,plain,
~ spl7_4,
inference(sat_conversion,[],[f157]) ).
cnf(s7,plain,
( ~ spl7_3
| spl7_5 ),
inference(rat,[],[s5,s6]) ).
cnf(s8,plain,
( ~ spl7_1
| ~ spl7_3
| ~ spl7_5 ),
inference(rat,[],[s3,s6]) ).
cnf(s9,plain,
spl7_3,
inference(rat,[],[s4,s2]) ).
cnf(s10,plain,
spl7_5,
inference(rat,[],[s7,s9]) ).
cnf(s11,plain,
~ spl7_1,
inference(rat,[],[s8,s10,s9]) ).
cnf(s12,plain,
$false,
inference(rat,[],[s1,s2,s11]) ).
fof(f158,plain,
$false,
inference(avatar_sat_refutation,[],[s12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % 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 THM
% 0.08/0.37 % Computer : n007.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.38 % CPULimit : 300
% 0.08/0.38 % WCLimit : 300
% 0.08/0.38 % DateTime : Mon Sep 28 06:56:19 UTC 2026
% 0.08/0.38 % CPUTime :
% 0.08/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.41 Running first-order theorem proving
% 0.08/0.41 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
% 2.61/1.27 % (2198481)Detected formulas, will run a generic FOF schedule.
% 2.61/1.27 % (2198492)dis-21_1_sil=8000:lcm=predicate:random_seed=4270204985: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)
% 2.61/1.27 % (2198489)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=361647800:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.61/1.27 % (2198489)Refutation not found, incomplete strategy
% 2.61/1.27 % (2198489)------------------------------
% 2.61/1.27 % (2198489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.27 % (2198489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.27 % (2198489)CaDiCaL version: 2.1.3
% 2.61/1.27 % (2198489)Termination reason: Refutation not found, incomplete strategy
% 2.61/1.27 % (2198489)Time elapsed: 0.001 s
% 2.61/1.27 % (2198489)Peak memory usage: 87 MB
% 2.61/1.27 % (2198488)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=758876879:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.61/1.27 % (2198487)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=3343760420:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.61/1.27 % (2198486)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=3783262307:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.61/1.27 % (2198491)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2276478828:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.61/1.27 % (2198490)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=874568429:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.61/1.27 % (2198490)Refutation not found, incomplete strategy
% 2.61/1.27 % (2198490)------------------------------
% 2.61/1.27 % (2198490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.27 % (2198490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.27 % (2198490)CaDiCaL version: 2.1.3
% 2.61/1.27 % (2198490)Termination reason: Refutation not found, incomplete strategy
% 2.61/1.27 % (2198490)Time elapsed: 0.001 s
% 2.61/1.27 % (2198490)Peak memory usage: 87 MB
% 2.61/1.27 % (2198492)Instruction limit reached!
% 2.61/1.27 % (2198492)------------------------------
% 2.61/1.27 % (2198492)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.27 % (2198492)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.27 % (2198492)CaDiCaL version: 2.1.3
% 2.61/1.27 % (2198492)Termination reason: Instruction limit
% 2.61/1.27 % (2198492)Termination phase: Saturation
% 2.61/1.27 % (2198492)Time elapsed: 0.037 s
% 2.61/1.27 % (2198492)Peak memory usage: 89 MB
% 2.61/1.27 % (2198492)Instructions burned: 130 (million)
% 2.61/1.27 % (2198491)First to succeed.
% 2.61/1.27 % (2198491)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2198481"
% 2.61/1.27 % (2198500)lrs+10_1_sil=8000:sp=occurrence:random_seed=2226831799:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 2.61/1.27 % (2198500)Also succeeded, but the first one will report.
% 2.61/1.27 % (2198489)------------------------------
% 2.61/1.27 % (2198489)------------------------------
% 2.61/1.27 % (2198490)------------------------------
% 2.61/1.27 % (2198490)------------------------------
% 2.61/1.27 % (2198491)Refutation found. Thanks to Tanya!
% 2.61/1.27 % SZS status Theorem for theBenchmark
% 2.61/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.47 % (2198491)------------------------------
% 3.50/1.47 % (2198491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.47 % (2198491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.47 % (2198491)CaDiCaL version: 2.1.3
% 3.50/1.47 % (2198491)Termination reason: Refutation
% 3.50/1.47 % (2198491)Time elapsed: 0.009 s
% 3.50/1.47 % (2198491)Peak memory usage: 89 MB
% 3.50/1.47 % (2198491)Instructions burned: 10 (million)
% 3.50/1.47 % (2198491)------------------------------
% 3.50/1.47 % (2198491)------------------------------
% 3.50/1.47 % (2198481)Success in time 0.417 s
% 3.50/1.47 % Vampire exiting
%------------------------------------------------------------------------------