%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:00:03 PM UTC 2026
% Result : Theorem 0.46s 0.88s
% Output : Refutation 2.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 10
% Syntax : Number of formulae : 81 ( 20 unt; 4 def)
% Number of atoms : 365 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 445 ( 161 ~; 161 |; 105 &)
% ( 15 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-5 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-4 aty)
% Number of variables : 186 ( 0 sgn 179 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,axiom,
! [X0,X1,X2,X3] :
( ( iext(uri_rdfs_domain,X0,X1)
& iext(X0,X2,X3) )
=> icext(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f3,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_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( icext(X0,X7)
<=> ( icext(X2,X7)
& icext(X4,X7)
& icext(X6,X7) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_003) ).
fof(f4,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(f5,conjecture,
( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_012_Template_Class) ).
fof(f6,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,axiom,
? [X0,X1,X2,X3] :
( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,X0)
& iext(uri_rdf_first,X0,uri_owl_DatatypeProperty)
& iext(uri_rdf_rest,X0,X1)
& iext(uri_rdf_first,X1,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_type,X3,uri_owl_Restriction)
& iext(uri_owl_onProperty,X3,uri_rdfs_domain)
& iext(uri_owl_hasValue,X3,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
fof(f8,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( icext(X0,X7)
<=> ( icext(X2,X7)
& icext(X4,X7)
& icext(X6,X7) ) ) ) )
| ~ 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,[],[f3]) ).
fof(f11,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( icext(X0,X7)
<=> ( icext(X2,X7)
& icext(X4,X7)
& icext(X6,X7) ) ) ) )
| ~ 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,[],[f10]) ).
fof(f12,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,[],[f4]) ).
fof(f13,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,[],[f12]) ).
fof(f14,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
| ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(ennf_transformation,[],[f6]) ).
fof(f15,definition,
! [X0,X2,X4,X6] :
( sP0(X0,X2,X4,X6)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( icext(X0,X7)
<=> ( icext(X2,X7)
& icext(X4,X7)
& icext(X6,X7) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f16,definition,
! [X6,X4,X2,X0,X1] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> sP0(X0,X2,X4,X6) )
| ~ sP1(X6,X4,X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( sP1(X6,X4,X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(definition_folding,[],[f11,f16,f15]) ).
fof(f18,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f19,plain,
! [X6,X4,X2,X0,X1] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ sP0(X0,X2,X4,X6) )
& ( sP0(X0,X2,X4,X6)
| ~ iext(uri_owl_intersectionOf,X0,X1) ) )
| ~ sP1(X6,X4,X2,X0,X1) ),
inference(nnf_transformation,[],[f16]) ).
fof(f20,plain,
! [X0,X1,X2,X3,X4] :
( ( ( iext(uri_owl_intersectionOf,X3,X4)
| ~ sP0(X3,X2,X1,X0) )
& ( sP0(X3,X2,X1,X0)
| ~ iext(uri_owl_intersectionOf,X3,X4) ) )
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0,X2,X4,X6] :
( ( sP0(X0,X2,X4,X6)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ~ ic(X6)
| ? [X7] :
( ( ~ icext(X2,X7)
| ~ icext(X4,X7)
| ~ icext(X6,X7)
| ~ icext(X0,X7) )
& ( ( icext(X2,X7)
& icext(X4,X7)
& icext(X6,X7) )
| icext(X0,X7) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( ( icext(X0,X7)
| ~ icext(X2,X7)
| ~ icext(X4,X7)
| ~ icext(X6,X7) )
& ( ( icext(X2,X7)
& icext(X4,X7)
& icext(X6,X7) )
| ~ icext(X0,X7) ) ) )
| ~ sP0(X0,X2,X4,X6) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f22,plain,
! [X0,X2,X4,X6] :
( ( sP0(X0,X2,X4,X6)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ~ ic(X6)
| ? [X7] :
( ( ~ icext(X2,X7)
| ~ icext(X4,X7)
| ~ icext(X6,X7)
| ~ icext(X0,X7) )
& ( ( icext(X2,X7)
& icext(X4,X7)
& icext(X6,X7) )
| icext(X0,X7) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ic(X6)
& ! [X7] :
( ( icext(X0,X7)
| ~ icext(X2,X7)
| ~ icext(X4,X7)
| ~ icext(X6,X7) )
& ( ( icext(X2,X7)
& icext(X4,X7)
& icext(X6,X7) )
| ~ icext(X0,X7) ) ) )
| ~ sP0(X0,X2,X4,X6) ) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ~ ic(X3)
| ? [X4] :
( ( ~ icext(X1,X4)
| ~ icext(X2,X4)
| ~ icext(X3,X4)
| ~ icext(X0,X4) )
& ( ( icext(X1,X4)
& icext(X2,X4)
& icext(X3,X4) )
| icext(X0,X4) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ic(X3)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X1,X5)
| ~ icext(X2,X5)
| ~ icext(X3,X5) )
& ( ( icext(X1,X5)
& icext(X2,X5)
& icext(X3,X5) )
| ~ icext(X0,X5) ) ) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ~ ic(X3)
| ( ( ~ icext(X1,sK2(X0,X1,X2,X3))
| ~ icext(X2,sK2(X0,X1,X2,X3))
| ~ icext(X3,sK2(X0,X1,X2,X3))
| ~ icext(X0,sK2(X0,X1,X2,X3)) )
& ( ( icext(X1,sK2(X0,X1,X2,X3))
& icext(X2,sK2(X0,X1,X2,X3))
& icext(X3,sK2(X0,X1,X2,X3)) )
| icext(X0,sK2(X0,X1,X2,X3)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ic(X3)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X1,X5)
| ~ icext(X2,X5)
| ~ icext(X3,X5) )
& ( ( icext(X1,X5)
& icext(X2,X5)
& icext(X3,X5) )
| ~ icext(X0,X5) ) ) )
| ~ sP0(X0,X1,X2,X3) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X4,sK2(X0,X1,X2,X3))],[f23]) ).
fof(f25,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,[],[f13]) ).
fof(f26,plain,
( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3)
& iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty)
& iext(uri_rdf_rest,sK3,sK4)
& iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK5,sK6)
& iext(uri_rdf_rest,sK5,uri_rdf_nil)
& iext(uri_rdf_type,sK6,uri_owl_Restriction)
& iext(uri_owl_onProperty,sK6,uri_rdfs_domain)
& iext(uri_owl_hasValue,sK6,uri_foaf_Person)
& iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
& iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f7]) ).
fof(f27,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f9]) ).
fof(f30,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_intersectionOf,X3,X4)
| sP0(X3,X2,X1,X0)
| ~ sP1(X0,X1,X2,X3,X4) ),
inference(cnf_transformation,[],[f20]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X0,X5)
| icext(X3,X5) ),
inference(cnf_transformation,[],[f24]) ).
fof(f33,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X0,X5)
| icext(X2,X5) ),
inference(cnf_transformation,[],[f24]) ).
fof(f44,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( sP1(X6,X4,X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X5,uri_rdf_nil) ),
inference(cnf_transformation,[],[f17]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ icext(X0,X3)
| iext(X1,X3,X2)
| ~ iext(uri_owl_hasValue,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f47,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
| ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(cnf_transformation,[],[f14]) ).
fof(f48,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[],[f26]) ).
fof(f49,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[],[f26]) ).
fof(f50,plain,
iext(uri_owl_hasValue,sK6,uri_foaf_Person),
inference(cnf_transformation,[],[f26]) ).
fof(f51,plain,
iext(uri_owl_onProperty,sK6,uri_rdfs_domain),
inference(cnf_transformation,[],[f26]) ).
fof(f53,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f26]) ).
fof(f54,plain,
iext(uri_rdf_first,sK5,sK6),
inference(cnf_transformation,[],[f26]) ).
fof(f55,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(cnf_transformation,[],[f26]) ).
fof(f56,plain,
iext(uri_rdf_first,sK4,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f26]) ).
fof(f57,plain,
iext(uri_rdf_rest,sK3,sK4),
inference(cnf_transformation,[],[f26]) ).
fof(f58,plain,
iext(uri_rdf_first,sK3,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f26]) ).
fof(f59,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK3),
inference(cnf_transformation,[],[f26]) ).
fof(f62,definition,
( spl7_1
<=> iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
introduced(definition,[new_symbols(definition,[spl7_1])],[avatar_definition]) ).
fof(f66,definition,
( spl7_2
<=> iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
introduced(definition,[new_symbols(definition,[spl7_2])],[avatar_definition]) ).
fof(f68,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
| spl7_2 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f69,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(avatar_split_clause,[],[f47,f66,f62]) ).
fof(f72,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X3,X0)
| ~ iext(uri_owl_hasValue,X3,X2)
| iext(X0,X1,X2)
| ~ iext(uri_rdf_type,X1,X3) ),
inference(resolution,[],[f45,f27]) ).
fof(f75,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X1,sK6)
| iext(uri_rdfs_domain,X1,X0)
| ~ iext(uri_owl_hasValue,sK6,X0) ),
inference(resolution,[],[f72,f51]) ).
fof(f76,plain,
! [X2,X0,X1] :
( ~ sP1(X2,X1,X0,uri_ex_PersonAttribute,sK3)
| sP0(uri_ex_PersonAttribute,X0,X1,X2) ),
inference(resolution,[],[f30,f59]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,sK3,X3)
| ~ iext(uri_rdf_first,sK3,X0)
| sP0(uri_ex_PersonAttribute,X0,X1,X2)
| ~ iext(uri_rdf_first,X3,X1)
| ~ iext(uri_rdf_rest,X3,X4)
| ~ iext(uri_rdf_first,X4,X2)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil) ),
inference(resolution,[],[f76,f44]) ).
fof(f162,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK4,X3)
| sP0(uri_ex_PersonAttribute,X0,X1,X2)
| ~ iext(uri_rdf_first,sK4,X1)
| ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(uri_rdf_first,X3,X2)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(resolution,[],[f77,f57]) ).
fof(f185,plain,
! [X2,X0,X1] :
( sP0(uri_ex_PersonAttribute,X0,X1,X2)
| ~ iext(uri_rdf_first,sK4,X1)
| ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(uri_rdf_first,sK5,X2)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil) ),
inference(resolution,[],[f162,f55]) ).
fof(f186,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK5,X2)
| ~ iext(uri_rdf_first,sK4,X1)
| ~ iext(uri_rdf_first,sK3,X0)
| sP0(uri_ex_PersonAttribute,X0,X1,X2) ),
inference(forward_subsumption_resolution,[],[f185,f53]) ).
fof(f187,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK4,X0)
| ~ iext(uri_rdf_first,sK3,X1)
| sP0(uri_ex_PersonAttribute,X1,X0,sK6) ),
inference(resolution,[],[f186,f54]) ).
fof(f270,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK3,X0)
| sP0(uri_ex_PersonAttribute,X0,uri_owl_FunctionalProperty,sK6) ),
inference(resolution,[],[f187,f56]) ).
fof(f272,plain,
sP0(uri_ex_PersonAttribute,uri_owl_DatatypeProperty,uri_owl_FunctionalProperty,sK6),
inference(resolution,[],[f270,f58]) ).
fof(f275,plain,
! [X0] :
( icext(sK6,X0)
| ~ icext(uri_ex_PersonAttribute,X0) ),
inference(resolution,[],[f272,f32]) ).
fof(f276,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
| ~ icext(uri_ex_PersonAttribute,X0) ),
inference(resolution,[],[f272,f33]) ).
fof(f324,plain,
! [X0] :
( iext(uri_rdf_type,X0,sK6)
| ~ icext(uri_ex_PersonAttribute,X0) ),
inference(resolution,[],[f275,f28]) ).
fof(f328,plain,
! [X0] :
( iext(uri_rdf_type,X0,uri_owl_FunctionalProperty)
| ~ icext(uri_ex_PersonAttribute,X0) ),
inference(resolution,[],[f276,f28]) ).
fof(f618,plain,
! [X0,X1] :
( ~ iext(uri_owl_hasValue,sK6,X1)
| iext(uri_rdfs_domain,X0,X1)
| ~ icext(uri_ex_PersonAttribute,X0) ),
inference(resolution,[],[f324,f75]) ).
fof(f883,plain,
! [X0] :
( iext(uri_rdfs_domain,X0,uri_foaf_Person)
| ~ icext(uri_ex_PersonAttribute,X0) ),
inference(resolution,[],[f618,f50]) ).
fof(f1478,plain,
! [X2,X0,X1] :
( ~ icext(uri_ex_PersonAttribute,X0)
| icext(uri_foaf_Person,X1)
| ~ iext(X0,X1,X2) ),
inference(resolution,[],[f883,f29]) ).
fof(f1754,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_type,X1,uri_ex_PersonAttribute)
| ~ iext(X1,X0,X2)
| icext(uri_foaf_Person,X0) ),
inference(resolution,[],[f1478,f27]) ).
fof(f1761,plain,
! [X0,X1] :
( ~ iext(uri_ex_name,X0,X1)
| icext(uri_foaf_Person,X0) ),
inference(resolution,[],[f1754,f49]) ).
fof(f2211,plain,
icext(uri_foaf_Person,uri_ex_alice),
inference(resolution,[],[f1761,f48]) ).
fof(f2230,plain,
iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person),
inference(resolution,[],[f2211,f28]) ).
fof(f2233,plain,
spl7_1,
inference(avatar_split_clause,[],[f2230,f62]) ).
fof(f2234,plain,
( ~ icext(uri_ex_PersonAttribute,uri_ex_name)
| spl7_2 ),
inference(resolution,[],[f68,f328]) ).
fof(f2252,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute)
| spl7_2 ),
inference(resolution,[],[f2234,f27]) ).
fof(f2253,plain,
( $false
| spl7_2 ),
inference(forward_subsumption_resolution,[],[f2252,f49]) ).
fof(f2254,plain,
spl7_2,
inference(avatar_contradiction_clause,[],[f2253]) ).
cnf(s1,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(sat_conversion,[],[f69]) ).
cnf(s65,plain,
spl7_1,
inference(sat_conversion,[],[f2233]) ).
cnf(s66,plain,
spl7_2,
inference(sat_conversion,[],[f2254]) ).
cnf(s80,plain,
$false,
inference(rat,[],[s1,s66,s65]) ).
fof(f2255,plain,
$false,
inference(avatar_sat_refutation,[],[s80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Mon Sep 28 06:58:49 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.88 % (3192898)Detected formulas, will run a generic FOF schedule.
% 0.46/0.88 % (3192931)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=115123023:i=119:av=off:ss=axioms_3000 on theBenchmark for (3000ds/119Mi)
% 0.46/0.88 % (3192927)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=1624481820:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/134677Mi)
% 0.46/0.88 % (3192926)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=2602330:i=141193_3000 on theBenchmark for (3000ds/141193Mi)
% 0.46/0.88 % (3192932)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1538445197:s2a=on:i=139:gtg=position_3000 on theBenchmark for (3000ds/139Mi)
% 0.46/0.88 % (3192930)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=202211364:i=109:sd=1:ins=1:gsp=on:ss=axioms_3000 on theBenchmark for (3000ds/109Mi)
% 0.46/0.88 % (3192929)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=3890753887:i=141695:sd=1:nm=32:gsp=on:ss=included_3000 on theBenchmark for (3000ds/141695Mi)
% 0.46/0.88 % (3192933)dis-21_1_sil=8000:lcm=predicate:random_seed=2296211317:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/129Mi)
% 0.46/0.88 % (3192931)Refutation not found, incomplete strategy
% 0.46/0.88 % (3192931)------------------------------
% 0.46/0.88 % (3192931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.46/0.88 % (3192931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.88 % (3192930)Refutation not found, incomplete strategy
% 0.46/0.88 % (3192930)------------------------------
% 0.46/0.88 % (3192930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.46/0.88 % (3192931)CaDiCaL version: 2.1.3
% 0.46/0.88 % (3192931)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.88 % (3192931)Time elapsed: 0.0000 s
% 0.46/0.88 % (3192931)Peak memory usage: 86 MB
% 0.46/0.88 % (3192930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.88 % (3192930)CaDiCaL version: 2.1.3
% 0.46/0.88 % (3192930)Termination reason: Refutation not found, incomplete strategy
% 0.46/0.88 % (3192930)Time elapsed: 0.0000 s
% 0.46/0.88 % (3192930)Peak memory usage: 86 MB
% 0.46/0.88 % (3192932)First to succeed.
% 0.46/0.88 % (3192932)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3192898"
% 0.46/0.88 % (3192933)Instruction limit reached!
% 0.46/0.88 % (3192933)------------------------------
% 0.46/0.88 % (3192933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.46/0.88 % (3192933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.88 % (3192933)CaDiCaL version: 2.1.3
% 0.46/0.88 % (3192933)Termination reason: Instruction limit
% 0.46/0.88 % (3192933)Termination phase: Saturation
% 0.46/0.88 % (3192933)Time elapsed: 0.037 s
% 0.46/0.88 % (3192933)Peak memory usage: 88 MB
% 0.46/0.88 % (3192933)Instructions burned: 129 (million)
% 0.46/0.88 % (3192930)------------------------------
% 0.46/0.88 % (3192930)------------------------------
% 0.46/0.88 % (3192931)------------------------------
% 0.46/0.88 % (3192931)------------------------------
% 0.46/0.88 % (3193004)lrs+10_1_sil=8000:sp=occurrence:random_seed=2452605202:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 0.46/0.88 % (3193004)Also succeeded, but the first one will report.
% 0.46/0.88 % (3192932)Refutation found. Thanks to Tanya!
% 0.46/0.88 % SZS status Theorem for theBenchmark
% 0.46/0.88 % SZS output start Proof for theBenchmark
% See solution above
% 2.42/0.98 % (3192932)------------------------------
% 2.42/0.98 % (3192932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.42/0.98 % (3192932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.42/0.98 % (3192932)CaDiCaL version: 2.1.3
% 2.42/0.98 % (3192932)Termination reason: Refutation
% 2.42/0.98 % (3192932)Time elapsed: 0.030 s
% 2.42/0.98 % (3192932)Peak memory usage: 90 MB
% 2.42/0.98 % (3192932)Instructions burned: 90 (million)
% 2.42/0.98 % (3192932)------------------------------
% 2.42/0.98 % (3192932)------------------------------
% 2.42/0.98 % (3192898)Success in time 0.311 s
% 2.42/0.98 % Vampire exiting
%------------------------------------------------------------------------------