%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n004.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 01:00:34 PM UTC 2026
% Result : Theorem 0.11s 0.44s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 106 ( 24 unt; 9 def)
% Number of atoms : 430 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 523 ( 199 ~; 196 |; 105 &)
% ( 20 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 8 prp; 0-5 aty)
% Number of functors : 23 ( 23 usr; 21 con; 0-4 aty)
% Number of variables : 196 ( 0 sgn 189 !; 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] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f28,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
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] :
( ~ sP1(X0,X1,X2,X3,X4)
| ~ iext(uri_owl_intersectionOf,X3,X4)
| sP0(X3,X2,X1,X0) ),
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] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ 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)
| sP1(X6,X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f17]) ).
fof(f45,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,[],[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(f64,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| spl7_1 ),
inference(avatar_component_clause,[],[f62]) ).
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(f76,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(resolution,[],[f27,f49]) ).
fof(f118,plain,
( ~ icext(uri_owl_FunctionalProperty,uri_ex_name)
| spl7_2 ),
inference(resolution,[],[f68,f28]) ).
fof(f167,plain,
! [X0,X1] :
( ~ iext(uri_owl_hasValue,sK6,X1)
| ~ icext(sK6,X0)
| iext(uri_rdfs_domain,X0,X1) ),
inference(resolution,[],[f45,f51]) ).
fof(f210,plain,
! [X0] :
( iext(uri_rdfs_domain,X0,uri_foaf_Person)
| ~ icext(sK6,X0) ),
inference(resolution,[],[f167,f50]) ).
fof(f234,plain,
! [X2,X0,X1] :
( ~ iext(X0,X1,X2)
| icext(uri_foaf_Person,X1)
| ~ icext(sK6,X0) ),
inference(resolution,[],[f210,f29]) ).
fof(f298,definition,
( spl7_27
<=> ! [X3] : ~ iext(uri_rdf_first,sK5,X3) ),
introduced(definition,[new_symbols(definition,[spl7_27])],[avatar_definition]) ).
fof(f299,plain,
( ! [X3] : ~ iext(uri_rdf_first,sK5,X3)
| ~ spl7_27 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f307,plain,
( $false
| ~ spl7_27 ),
inference(resolution,[],[f299,f54]) ).
fof(f308,plain,
~ spl7_27,
inference(avatar_contradiction_clause,[],[f307]) ).
fof(f313,definition,
( spl7_30
<=> ! [X2] : ~ iext(uri_rdf_first,sK4,X2) ),
introduced(definition,[new_symbols(definition,[spl7_30])],[avatar_definition]) ).
fof(f314,plain,
( ! [X2] : ~ iext(uri_rdf_first,sK4,X2)
| ~ spl7_30 ),
inference(avatar_component_clause,[],[f313]) ).
fof(f322,plain,
( $false
| ~ spl7_30 ),
inference(resolution,[],[f314,f56]) ).
fof(f323,plain,
~ spl7_30,
inference(avatar_contradiction_clause,[],[f322]) ).
fof(f480,plain,
( icext(uri_foaf_Person,uri_ex_alice)
| ~ icext(sK6,uri_ex_name) ),
inference(resolution,[],[f234,f48]) ).
fof(f585,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X2,sK5)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK5,X4)
| sP1(X4,X3,X1,X5,X0) ),
inference(resolution,[],[f44,f53]) ).
fof(f589,plain,
! [X2,X3,X0,X1,X4] :
( sP1(X3,X1,X2,X4,X0)
| ~ iext(uri_rdf_first,sK4,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK5,X3)
| ~ iext(uri_rdf_rest,X0,sK4) ),
inference(resolution,[],[f585,f55]) ).
fof(f590,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_owl_intersectionOf,X4,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_first,sK5,X3)
| ~ iext(uri_rdf_rest,X1,sK4)
| ~ iext(uri_rdf_first,sK4,X0)
| sP0(X4,X2,X0,X3) ),
inference(resolution,[],[f589,f30]) ).
fof(f612,definition,
( spl7_61
<=> ! [X0] : ~ iext(uri_rdf_first,sK3,X0) ),
introduced(definition,[new_symbols(definition,[spl7_61])],[avatar_definition]) ).
fof(f613,plain,
( ! [X0] : ~ iext(uri_rdf_first,sK3,X0)
| ~ spl7_61 ),
inference(avatar_component_clause,[],[f612]) ).
fof(f622,plain,
( $false
| ~ spl7_61 ),
inference(resolution,[],[f613,f58]) ).
fof(f623,plain,
~ spl7_61,
inference(avatar_contradiction_clause,[],[f622]) ).
fof(f693,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK3,X0)
| ~ iext(uri_rdf_first,sK5,X1)
| ~ iext(uri_rdf_rest,sK3,sK4)
| ~ iext(uri_rdf_first,sK4,X2)
| sP0(uri_ex_PersonAttribute,X0,X2,X1) ),
inference(resolution,[],[f590,f59]) ).
fof(f694,plain,
! [X2,X0,X1] :
( sP0(uri_ex_PersonAttribute,X0,X2,X1)
| ~ iext(uri_rdf_first,sK5,X1)
| ~ iext(uri_rdf_first,sK4,X2)
| ~ iext(uri_rdf_first,sK3,X0) ),
inference(forward_subsumption_resolution,[],[f693,f57]) ).
fof(f702,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(uri_rdf_first,sK4,X1)
| ~ iext(uri_rdf_first,sK3,X2)
| ~ icext(uri_ex_PersonAttribute,X3)
| icext(X0,X3) ),
inference(resolution,[],[f694,f32]) ).
fof(f703,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(uri_rdf_first,sK4,X1)
| ~ iext(uri_rdf_first,sK3,X2)
| ~ icext(uri_ex_PersonAttribute,X3)
| icext(X1,X3) ),
inference(resolution,[],[f694,f33]) ).
fof(f730,definition,
( spl7_67
<=> ! [X1,X3] :
( ~ iext(uri_rdf_first,sK4,X1)
| icext(X1,X3)
| ~ icext(uri_ex_PersonAttribute,X3) ) ),
introduced(definition,[new_symbols(definition,[spl7_67])],[avatar_definition]) ).
fof(f731,plain,
( ! [X3,X1] :
( ~ iext(uri_rdf_first,sK4,X1)
| icext(X1,X3)
| ~ icext(uri_ex_PersonAttribute,X3) )
| ~ spl7_67 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f732,plain,
( spl7_61
| spl7_67
| spl7_27 ),
inference(avatar_split_clause,[],[f703,f298,f730,f612]) ).
fof(f733,plain,
( ! [X0] :
( ~ icext(uri_ex_PersonAttribute,X0)
| icext(uri_owl_FunctionalProperty,X0) )
| ~ spl7_67 ),
inference(resolution,[],[f731,f56]) ).
fof(f734,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_name)
| ~ spl7_67 ),
inference(resolution,[],[f733,f76]) ).
fof(f735,plain,
( $false
| spl7_2
| ~ spl7_67 ),
inference(forward_subsumption_resolution,[],[f734,f118]) ).
fof(f736,plain,
( spl7_2
| ~ spl7_67 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f738,plain,
( ~ icext(uri_foaf_Person,uri_ex_alice)
| spl7_1 ),
inference(resolution,[],[f64,f28]) ).
fof(f744,plain,
( ~ icext(sK6,uri_ex_name)
| spl7_1 ),
inference(forward_subsumption_resolution,[],[f480,f738]) ).
fof(f746,definition,
( spl7_68
<=> ! [X0,X3] :
( ~ iext(uri_rdf_first,sK5,X0)
| icext(X0,X3)
| ~ icext(uri_ex_PersonAttribute,X3) ) ),
introduced(definition,[new_symbols(definition,[spl7_68])],[avatar_definition]) ).
fof(f747,plain,
( ! [X3,X0] :
( ~ iext(uri_rdf_first,sK5,X0)
| icext(X0,X3)
| ~ icext(uri_ex_PersonAttribute,X3) )
| ~ spl7_68 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f748,plain,
( spl7_61
| spl7_30
| spl7_68 ),
inference(avatar_split_clause,[],[f702,f746,f313,f612]) ).
fof(f749,plain,
( ! [X0] :
( ~ icext(uri_ex_PersonAttribute,X0)
| icext(sK6,X0) )
| ~ spl7_68 ),
inference(resolution,[],[f747,f54]) ).
fof(f750,plain,
( icext(sK6,uri_ex_name)
| ~ spl7_68 ),
inference(resolution,[],[f749,f76]) ).
fof(f751,plain,
( $false
| spl7_1
| ~ spl7_68 ),
inference(forward_subsumption_resolution,[],[f750,f744]) ).
fof(f752,plain,
( spl7_1
| ~ spl7_68 ),
inference(avatar_contradiction_clause,[],[f751]) ).
cnf(s36,plain,
( ~ spl7_1
| ~ spl7_2 ),
inference(sat_conversion,[],[f69]) ).
cnf(s242,plain,
~ spl7_27,
inference(sat_conversion,[],[f308]) ).
cnf(s253,plain,
~ spl7_30,
inference(sat_conversion,[],[f323]) ).
cnf(s540,plain,
~ spl7_61,
inference(sat_conversion,[],[f623]) ).
cnf(s623,plain,
( spl7_27
| spl7_61
| spl7_67 ),
inference(sat_conversion,[],[f732]) ).
cnf(s628,plain,
( spl7_2
| ~ spl7_67 ),
inference(sat_conversion,[],[f736]) ).
cnf(s647,plain,
( spl7_30
| spl7_61
| spl7_68 ),
inference(sat_conversion,[],[f748]) ).
cnf(s652,plain,
( spl7_1
| ~ spl7_68 ),
inference(sat_conversion,[],[f752]) ).
cnf(s654,plain,
spl7_68,
inference(rat,[],[s647,s540,s253]) ).
cnf(s655,plain,
spl7_1,
inference(rat,[],[s652,s654]) ).
cnf(s657,plain,
spl7_67,
inference(rat,[],[s623,s540,s242]) ).
cnf(s659,plain,
spl7_2,
inference(rat,[],[s628,s657]) ).
cnf(s663,plain,
$false,
inference(rat,[],[s36,s659,s655]) ).
fof(f753,plain,
$false,
inference(avatar_sat_refutation,[],[s663]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB012+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n004.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 06:59:07 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.44 % (163139)Will run a generic schedule for satisfiability detection.
% 0.11/0.44 % (163147)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2399329117:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.11/0.44 % (163146)% WARNING: option uhcvi not known.
% 0.11/0.44 % (163145)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2418244017_3000 on theBenchmark for (3000ds/0Mi)
% 0.11/0.44 % (163146)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1548201918:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.11/0.44 % (163150)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3892569888:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.11/0.44 % (163148)dis+10_1_sil=32000:sp=arity:random_seed=376183572:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.11/0.44 % (163147) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-163139-163147"...
% 0.11/0.44 % (163151)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4185877664:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.11/0.44 % (163147)...printing done.
% 0.11/0.44 % TRYING [1]
% 0.11/0.44 % (163147)Refutation found. Thanks to Tanya!
% 0.11/0.44 % SZS status Theorem for theBenchmark
% 0.11/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.44 % (163147)------------------------------
% 0.11/0.44 % (163147)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.44 % (163147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.44 % (163147)CaDiCaL version: 2.1.3
% 0.11/0.44 % (163147)Termination reason: Refutation
% 0.11/0.44 % (163147)Time elapsed: 0.009 s
% 0.11/0.44 % (163147)Peak memory usage: 12 MB
% 0.11/0.44 % (163147)Instructions burned: 21 (million)
% 0.11/0.44 % (163139)Success in time 0.025 s
% 0.11/0.44 % Vampire exiting
%------------------------------------------------------------------------------