%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB107+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 : n013.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 01:00:26 PM UTC 2026
% Result : Theorem 3.67s 1.55s
% Output : Refutation 5.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 10
% Syntax : Number of formulae : 100 ( 22 unt; 1 def)
% Number of atoms : 401 ( 27 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 501 ( 200 ~; 210 |; 69 &)
% ( 15 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 2 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 15 con; 0-3 aty)
% Number of variables : 184 ( 0 sgn 171 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f159,axiom,
! [X0] :
( icext(uri_owl_Restriction,X0)
=> ic(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_restriction_ext) ).
fof(f210,axiom,
! [X0,X1] :
( iext(uri_owl_hasValue,X0,X1)
=> ( icext(uri_owl_Restriction,X0)
& ir(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_hasvalue_ext) ).
fof(f258,axiom,
! [X0,X1] :
( iext(uri_owl_someValuesFrom,X0,X1)
=> ( icext(uri_owl_Restriction,X0)
& ic(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_somevaluesfrom_ext) ).
fof(f295,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/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f315,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_hasValue,X0,X2)
& iext(uri_owl_onProperty,X0,X1) )
=> ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasvalue) ).
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(f351,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f559,conjecture,
iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_term_somehas) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1] :
( iext(uri_owl_hasValue,uri_ex_z2,uri_ex_u)
& iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
& iext(uri_owl_oneOf,X1,X0)
& iext(uri_owl_someValuesFrom,uri_ex_z1,X1)
& iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
& iext(uri_rdf_first,X0,uri_ex_u)
& iext(uri_rdf_rest,X0,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_term_somehas) ).
fof(f562,plain,
~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
inference(flattening,[],[f560]) ).
fof(f567,plain,
! [X0,X1] :
( iext(uri_owl_hasValue,X0,X1)
=> icext(uri_owl_Restriction,X0) ),
inference(pure_predicate_removal,[],[f210]) ).
fof(f581,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X2) )
| ~ iext(uri_owl_hasValue,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f315]) ).
fof(f582,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X2) )
| ~ iext(uri_owl_hasValue,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(flattening,[],[f581]) ).
fof(f583,plain,
! [X0,X1] :
( icext(uri_owl_Restriction,X0)
| ~ iext(uri_owl_hasValue,X0,X1) ),
inference(ennf_transformation,[],[f567]) ).
fof(f594,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,[],[f295]) ).
fof(f595,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,[],[f594]) ).
fof(f597,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(f598,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,[],[f597]) ).
fof(f599,plain,
! [X0,X1] :
( ( icext(uri_owl_Restriction,X0)
& ic(X1) )
| ~ iext(uri_owl_someValuesFrom,X0,X1) ),
inference(ennf_transformation,[],[f258]) ).
fof(f601,plain,
! [X0] :
( ic(X0)
| ~ icext(uri_owl_Restriction,X0) ),
inference(ennf_transformation,[],[f159]) ).
fof(f608,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f351]) ).
fof(f609,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f608]) ).
fof(f610,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f609]) ).
fof(f611,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK2(X0,X1))
| ~ icext(X0,sK2(X0,X1)) )
& ( icext(X1,sK2(X0,X1))
| icext(X0,sK2(X0,X1)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f610]) ).
fof(f612,plain,
( iext(uri_owl_hasValue,uri_ex_z2,uri_ex_u)
& iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p)
& iext(uri_owl_oneOf,sK4,sK3)
& iext(uri_owl_someValuesFrom,uri_ex_z1,sK4)
& iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
& iext(uri_rdf_first,sK3,uri_ex_u)
& iext(uri_rdf_rest,sK3,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f561]) ).
fof(f613,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_hasValue,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(nnf_transformation,[],[f582]) ).
fof(f624,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,[],[f595]) ).
fof(f625,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,[],[f624]) ).
fof(f626,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,[],[f625]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( sK7(X0,X2) != X2
| ~ icext(X0,sK7(X0,X2)) )
& ( sK7(X0,X2) = X2
| icext(X0,sK7(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,[sK7]),skolemize(X3,sK7(X0,X2))],[f626]) ).
fof(f632,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,[],[f598]) ).
fof(f633,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,[],[f632]) ).
fof(f634,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK9(X1,X2,X3))
& icext(X2,sK9(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,[sK9]),skolemize(X5,sK9(X1,X2,X3))],[f633]) ).
fof(f635,plain,
~ iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2),
inference(cnf_transformation,[],[f562]) ).
fof(f640,plain,
! [X0,X1] :
( icext(X1,sK2(X0,X1))
| icext(X0,sK2(X0,X1))
| ~ ic(X1)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f611]) ).
fof(f641,plain,
! [X0,X1] :
( ~ icext(X1,sK2(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_owl_equivalentClass,X0,X1)
| ~ icext(X0,sK2(X0,X1)) ),
inference(cnf_transformation,[],[f611]) ).
fof(f644,plain,
iext(uri_rdf_rest,sK3,uri_rdf_nil),
inference(cnf_transformation,[],[f612]) ).
fof(f645,plain,
iext(uri_rdf_first,sK3,uri_ex_u),
inference(cnf_transformation,[],[f612]) ).
fof(f646,plain,
iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p),
inference(cnf_transformation,[],[f612]) ).
fof(f647,plain,
iext(uri_owl_someValuesFrom,uri_ex_z1,sK4),
inference(cnf_transformation,[],[f612]) ).
fof(f648,plain,
iext(uri_owl_oneOf,sK4,sK3),
inference(cnf_transformation,[],[f612]) ).
fof(f649,plain,
iext(uri_owl_onProperty,uri_ex_z2,uri_ex_p),
inference(cnf_transformation,[],[f612]) ).
fof(f650,plain,
iext(uri_owl_hasValue,uri_ex_z2,uri_ex_u),
inference(cnf_transformation,[],[f612]) ).
fof(f651,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ icext(X0,X3)
| ~ iext(uri_owl_hasValue,X0,X2)
| iext(X1,X3,X2) ),
inference(cnf_transformation,[],[f613]) ).
fof(f652,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(X1,X3,X2)
| ~ iext(uri_owl_hasValue,X0,X2)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f613]) ).
fof(f653,plain,
! [X0,X1] :
( ~ iext(uri_owl_hasValue,X0,X1)
| icext(uri_owl_Restriction,X0) ),
inference(cnf_transformation,[],[f583]) ).
fof(f676,plain,
! [X2,X0,X1,X4] :
( ~ iext(uri_owl_oneOf,X0,X1)
| ~ icext(X0,X4)
| X2 = X4
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(cnf_transformation,[],[f627]) ).
fof(f677,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,[],[f627]) ).
fof(f686,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ icext(X0,X3)
| icext(X2,sK9(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f634]) ).
fof(f687,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ icext(X0,X3)
| iext(X1,X3,sK9(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f634]) ).
fof(f688,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_someValuesFrom,X0,X2)
| ~ iext(X1,X3,X4)
| ~ icext(X2,X4)
| icext(X0,X3)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f634]) ).
fof(f690,plain,
! [X0,X1] :
( ~ iext(uri_owl_someValuesFrom,X0,X1)
| icext(uri_owl_Restriction,X0) ),
inference(cnf_transformation,[],[f599]) ).
fof(f693,plain,
! [X0] :
( ~ icext(uri_owl_Restriction,X0)
| ic(X0) ),
inference(cnf_transformation,[],[f601]) ).
fof(f706,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,[],[f677]) ).
fof(f709,plain,
icext(uri_owl_Restriction,uri_ex_z2),
inference(resolution,[],[f653,f650]) ).
fof(f710,plain,
ic(uri_ex_z2),
inference(resolution,[],[f709,f693]) ).
fof(f712,plain,
icext(uri_owl_Restriction,uri_ex_z1),
inference(resolution,[],[f690,f647]) ).
fof(f713,plain,
ic(uri_ex_z1),
inference(resolution,[],[f712,f693]) ).
fof(f756,plain,
! [X0,X1] :
( ~ iext(uri_owl_hasValue,uri_ex_z2,X1)
| ~ icext(uri_ex_z2,X0)
| iext(uri_ex_p,X0,X1) ),
inference(resolution,[],[f651,f649]) ).
fof(f758,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X0,X1)
| ~ iext(uri_owl_hasValue,uri_ex_z2,X1)
| icext(uri_ex_z2,X0) ),
inference(resolution,[],[f652,f649]) ).
fof(f777,plain,
! [X0] :
( icext(sK4,X0)
| ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(uri_rdf_rest,sK3,uri_rdf_nil) ),
inference(resolution,[],[f706,f648]) ).
fof(f778,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK3,X0)
| icext(sK4,X0) ),
inference(forward_subsumption_resolution,[],[f777,f644]) ).
fof(f800,plain,
icext(sK4,uri_ex_u),
inference(resolution,[],[f778,f645]) ).
fof(f801,plain,
! [X0,X1] :
( icext(sK4,sK9(X1,sK4,X0))
| ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z1,X1) ),
inference(resolution,[],[f686,f647]) ).
fof(f823,plain,
! [X0,X1] :
( ~ icext(sK4,X0)
| X0 = X1
| ~ iext(uri_rdf_first,sK3,X1)
| ~ iext(uri_rdf_rest,sK3,uri_rdf_nil) ),
inference(resolution,[],[f676,f648]) ).
fof(f824,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK3,X1)
| X0 = X1
| ~ icext(sK4,X0) ),
inference(forward_subsumption_resolution,[],[f823,f644]) ).
fof(f825,plain,
! [X0] :
( ~ icext(sK4,X0)
| uri_ex_u = X0 ),
inference(resolution,[],[f824,f645]) ).
fof(f826,plain,
! [X0,X1] :
( iext(X1,X0,sK9(X1,sK4,X0))
| ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z1,X1) ),
inference(resolution,[],[f687,f647]) ).
fof(f843,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z1,X0)
| ~ icext(sK4,X2)
| icext(uri_ex_z1,X1)
| ~ iext(X0,X1,X2) ),
inference(resolution,[],[f688,f647]) ).
fof(f880,plain,
! [X0] :
( iext(uri_ex_p,X0,uri_ex_u)
| ~ icext(uri_ex_z2,X0) ),
inference(resolution,[],[f756,f650]) ).
fof(f887,definition,
( spl10_19
<=> ! [X0] :
( icext(uri_ex_z1,X0)
| ~ icext(uri_ex_z2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl10_19])],[avatar_definition]) ).
fof(f888,plain,
( ! [X0] :
( ~ icext(uri_ex_z2,X0)
| icext(uri_ex_z1,X0) )
| ~ spl10_19 ),
inference(avatar_component_clause,[],[f887]) ).
fof(f945,plain,
! [X0,X1] :
( ~ iext(uri_owl_onProperty,uri_ex_z1,X1)
| ~ icext(uri_ex_z1,X0)
| uri_ex_u = sK9(X1,sK4,X0) ),
inference(resolution,[],[f801,f825]) ).
fof(f978,plain,
! [X0] :
( ~ icext(uri_ex_z1,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z1,uri_ex_p)
| ~ iext(uri_owl_hasValue,uri_ex_z2,sK9(uri_ex_p,sK4,X0))
| icext(uri_ex_z2,X0) ),
inference(resolution,[],[f826,f758]) ).
fof(f980,plain,
! [X0] :
( ~ iext(uri_owl_hasValue,uri_ex_z2,sK9(uri_ex_p,sK4,X0))
| ~ icext(uri_ex_z1,X0)
| icext(uri_ex_z2,X0) ),
inference(forward_subsumption_resolution,[],[f978,f646]) ).
fof(f1120,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X1,X0)
| icext(uri_ex_z1,X1)
| ~ icext(sK4,X0) ),
inference(resolution,[],[f843,f646]) ).
fof(f1267,plain,
! [X0] :
( icext(uri_ex_z1,X0)
| ~ icext(sK4,uri_ex_u)
| ~ icext(uri_ex_z2,X0) ),
inference(resolution,[],[f1120,f880]) ).
fof(f1269,plain,
! [X0] :
( icext(uri_ex_z1,X0)
| ~ icext(uri_ex_z2,X0) ),
inference(forward_subsumption_resolution,[],[f1267,f800]) ).
fof(f1270,plain,
spl10_19,
inference(avatar_split_clause,[],[f1269,f887]) ).
fof(f1278,plain,
( ! [X0] :
( icext(uri_ex_z1,sK2(X0,uri_ex_z2))
| icext(X0,sK2(X0,uri_ex_z2))
| ~ ic(uri_ex_z2)
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_ex_z2) )
| ~ spl10_19 ),
inference(resolution,[],[f888,f640]) ).
fof(f1294,plain,
( ! [X0] :
( icext(uri_ex_z1,sK2(X0,uri_ex_z2))
| icext(X0,sK2(X0,uri_ex_z2))
| ~ ic(X0)
| iext(uri_owl_equivalentClass,X0,uri_ex_z2) )
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f1278,f710]) ).
fof(f1454,plain,
! [X0] :
( ~ icext(uri_ex_z1,X0)
| uri_ex_u = sK9(uri_ex_p,sK4,X0) ),
inference(resolution,[],[f945,f646]) ).
fof(f2033,plain,
( icext(uri_ex_z1,sK2(uri_ex_z1,uri_ex_z2))
| ~ ic(uri_ex_z1)
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
| ~ spl10_19 ),
inference(factoring,[],[f1294]) ).
fof(f2202,plain,
( icext(uri_ex_z1,sK2(uri_ex_z1,uri_ex_z2))
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f2033,f713]) ).
fof(f2216,plain,
( icext(uri_ex_z1,sK2(uri_ex_z1,uri_ex_z2))
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f2202,f635]) ).
fof(f2221,plain,
( uri_ex_u = sK9(uri_ex_p,sK4,sK2(uri_ex_z1,uri_ex_z2))
| ~ spl10_19 ),
inference(resolution,[],[f2216,f1454]) ).
fof(f2224,plain,
( ~ iext(uri_owl_hasValue,uri_ex_z2,uri_ex_u)
| ~ icext(uri_ex_z1,sK2(uri_ex_z1,uri_ex_z2))
| icext(uri_ex_z2,sK2(uri_ex_z1,uri_ex_z2))
| ~ spl10_19 ),
inference(superposition,[],[f980,f2221]) ).
fof(f2228,plain,
( ~ icext(uri_ex_z1,sK2(uri_ex_z1,uri_ex_z2))
| icext(uri_ex_z2,sK2(uri_ex_z1,uri_ex_z2))
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f2224,f650]) ).
fof(f2230,plain,
( icext(uri_ex_z2,sK2(uri_ex_z1,uri_ex_z2))
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f2228,f2216]) ).
fof(f2233,plain,
( ~ ic(uri_ex_z1)
| ~ ic(uri_ex_z2)
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
| ~ icext(uri_ex_z1,sK2(uri_ex_z1,uri_ex_z2))
| ~ spl10_19 ),
inference(resolution,[],[f2230,f641]) ).
fof(f2241,plain,
( ~ ic(uri_ex_z2)
| iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
| ~ icext(uri_ex_z1,sK2(uri_ex_z1,uri_ex_z2))
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f2233,f713]) ).
fof(f2242,plain,
( iext(uri_owl_equivalentClass,uri_ex_z1,uri_ex_z2)
| ~ icext(uri_ex_z1,sK2(uri_ex_z1,uri_ex_z2))
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f2241,f710]) ).
fof(f2243,plain,
( ~ icext(uri_ex_z1,sK2(uri_ex_z1,uri_ex_z2))
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f2242,f635]) ).
fof(f2244,plain,
( $false
| ~ spl10_19 ),
inference(forward_subsumption_resolution,[],[f2243,f2216]) ).
fof(f2245,plain,
~ spl10_19,
inference(avatar_contradiction_clause,[],[f2244]) ).
cnf(s54,plain,
spl10_19,
inference(sat_conversion,[],[f1270]) ).
cnf(s117,plain,
~ spl10_19,
inference(sat_conversion,[],[f2245]) ).
cnf(s118,plain,
$false,
inference(rat,[],[s54,s117]) ).
fof(f2246,plain,
$false,
inference(avatar_sat_refutation,[],[s118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB107+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 % Computer : n013.cluster.edu
% 0.10/0.40 % Model : x86_64 x86_64
% 0.10/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.40 % Memory : 8046.5625MB
% 0.10/0.40 % OS : Linux 6.8.0-71-generic
% 0.10/0.41 % CPULimit : 300
% 0.10/0.41 % WCLimit : 300
% 0.10/0.41 % DateTime : Mon Sep 28 07:21:07 UTC 2026
% 0.10/0.41 % CPUTime :
% 0.10/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.44 Running first-order theorem proving
% 0.10/0.44 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
% 3.67/1.55 % (998404)Detected formulas, will run a generic FOF schedule.
% 3.67/1.55 % (998412)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3837150409:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.67/1.55 % (998412)Refutation not found, incomplete strategy
% 3.67/1.55 % (998412)------------------------------
% 3.67/1.55 % (998412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.55 % (998412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.55 % (998412)CaDiCaL version: 2.1.3
% 3.67/1.55 % (998412)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.55 % (998412)Time elapsed: 0.001 s
% 3.67/1.55 % (998412)Peak memory usage: 88 MB
% 3.67/1.55 % (998412)Instructions burned: 2 (million)
% 3.67/1.55 % (998413)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1454870436:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.67/1.55 % (998414)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2918603099:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.67/1.55 % (998409)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=2802005889:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.67/1.55 % (998415)dis-21_1_sil=8000:lcm=predicate:random_seed=95499165: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)
% 3.67/1.55 % (998411)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=940983556:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.67/1.55 % (998410)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=4075975728:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.67/1.55 % (998413)Refutation not found, incomplete strategy
% 3.67/1.55 % (998413)------------------------------
% 3.67/1.55 % (998413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.55 % (998413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.55 % (998413)CaDiCaL version: 2.1.3
% 3.67/1.55 % (998413)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.55 % (998413)Time elapsed: 0.002 s
% 3.67/1.55 % (998413)Peak memory usage: 88 MB
% 3.67/1.55 % (998413)Instructions burned: 2 (million)
% 3.67/1.55 % (998415)Instruction limit reached!
% 3.67/1.55 % (998415)------------------------------
% 3.67/1.55 % (998415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.55 % (998415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.55 % (998415)CaDiCaL version: 2.1.3
% 3.67/1.55 % (998415)Termination reason: Instruction limit
% 3.67/1.55 % (998415)Termination phase: Saturation
% 3.67/1.55 % (998415)Time elapsed: 0.066 s
% 3.67/1.55 % (998415)Peak memory usage: 91 MB
% 3.67/1.55 % (998415)Instructions burned: 130 (million)
% 3.67/1.55 % (998414)Instruction limit reached!
% 3.67/1.55 % (998414)------------------------------
% 3.67/1.55 % (998414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.55 % (998414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.55 % (998414)CaDiCaL version: 2.1.3
% 3.67/1.55 % (998414)Termination reason: Instruction limit
% 3.67/1.55 % (998414)Termination phase: Saturation
% 3.67/1.55 % (998414)Time elapsed: 0.077 s
% 3.67/1.55 % (998414)Peak memory usage: 90 MB
% 3.67/1.55 % (998414)Instructions burned: 139 (million)
% 3.67/1.55 % (998412)------------------------------
% 3.67/1.55 % (998412)------------------------------
% 3.67/1.55 % (998425)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1208687656:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.67/1.55 % (998425)Refutation not found, incomplete strategy
% 3.67/1.55 % (998425)------------------------------
% 3.67/1.55 % (998425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.55 % (998425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.55 % (998425)CaDiCaL version: 2.1.3
% 3.67/1.55 % (998425)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.55 % (998425)Time elapsed: 0.002 s
% 3.67/1.55 % (998425)Peak memory usage: 89 MB
% 3.67/1.55 % (998425)Instructions burned: 2 (million)
% 3.67/1.55 % (998423)lrs+10_1_sil=8000:sp=occurrence:random_seed=1384325076:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.67/1.55 % (998424)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3728895520:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.67/1.55 % (998424)Refutation not found, incomplete strategy
% 3.67/1.55 % (998424)------------------------------
% 3.67/1.55 % (998424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.55 % (998424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.55 % (998424)CaDiCaL version: 2.1.3
% 3.67/1.55 % (998424)Termination reason: Refutation not found, incomplete strategy
% 3.67/1.55 % (998424)Time elapsed: 0.004 s
% 3.67/1.55 % (998424)Peak memory usage: 89 MB
% 3.67/1.55 % (998424)Instructions burned: 6 (million)
% 3.67/1.55 % (998423)First to succeed.
% 3.67/1.55 % (998423)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-998404"
% 3.67/1.55 % (998413)------------------------------
% 3.67/1.55 % (998413)------------------------------
% 3.67/1.55 % (998425)------------------------------
% 3.67/1.55 % (998425)------------------------------
% 3.67/1.55 % (998429)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=3782963849:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.67/1.55 % (998430)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3888561058:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.67/1.55 % (998424)------------------------------
% 3.67/1.55 % (998424)------------------------------
% 3.67/1.55 % (998423)Refutation found. Thanks to Tanya!
% 3.67/1.55 % SZS status Theorem for theBenchmark
% 3.67/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 5.11/1.64 % (998423)------------------------------
% 5.11/1.64 % (998423)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.11/1.64 % (998423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.11/1.64 % (998423)CaDiCaL version: 2.1.3
% 5.11/1.64 % (998423)Termination reason: Refutation
% 5.11/1.64 % (998423)Time elapsed: 0.037 s
% 5.11/1.64 % (998423)Peak memory usage: 90 MB
% 5.11/1.64 % (998423)Instructions burned: 53 (million)
% 5.11/1.64 % (998423)------------------------------
% 5.11/1.64 % (998423)------------------------------
% 5.11/1.64 % (998404)Success in time 0.663 s
% 5.11/1.64 % Vampire exiting
%------------------------------------------------------------------------------