%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB012+3 : 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 : n017.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 4.76s 1.66s
% Output : Refutation 6.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 110 ( 24 unt; 9 def)
% Number of atoms : 481 ( 0 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 596 ( 225 ~; 222 |; 124 &)
% ( 22 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-5 aty)
% Number of functors : 25 ( 25 usr; 21 con; 0-4 aty)
% Number of variables : 222 ( 0 sgn 209 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,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(f52,axiom,
! [X0,X1] :
( iext(uri_rdfs_domain,X0,X1)
<=> ( ip(X0)
& ic(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_domain) ).
fof(f57,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(f80,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f139,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(f140,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)],[f139]) ).
fof(f141,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(f144,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
| ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(ennf_transformation,[],[f140]) ).
fof(f146,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,[],[f5]) ).
fof(f147,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,[],[f146]) ).
fof(f157,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,[],[f57]) ).
fof(f158,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,[],[f157]) ).
fof(f167,plain,
! [X0,X1] :
( iext(uri_rdfs_domain,X0,X1)
<=> ( ip(X0)
& ic(X1)
& ! [X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f52]) ).
fof(f177,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(f178,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(f179,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,[],[f147,f178,f177]) ).
fof(f183,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f80]) ).
fof(f184,plain,
( iext(uri_rdf_type,uri_foaf_Person,uri_owl_Class)
& iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK4)
& iext(uri_rdf_first,sK4,uri_owl_DatatypeProperty)
& iext(uri_rdf_rest,sK4,sK5)
& iext(uri_rdf_first,sK5,uri_owl_FunctionalProperty)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK6,sK7)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_rdf_type,sK7,uri_owl_Restriction)
& iext(uri_owl_onProperty,sK7,uri_rdfs_domain)
& iext(uri_owl_hasValue,sK7,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,[sK4,sK5,sK6,sK7]),skolemize(X0,sK4),skolemize(X1,sK5),skolemize(X2,sK6),skolemize(X3,sK7)],[f141]) ).
fof(f185,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,[],[f178]) ).
fof(f186,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,[],[f185]) ).
fof(f187,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,[],[f177]) ).
fof(f188,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,[],[f187]) ).
fof(f189,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,[],[f188]) ).
fof(f190,plain,
! [X0,X1,X2,X3] :
( ( sP0(X0,X1,X2,X3)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ~ ic(X3)
| ( ( ~ icext(X1,sK8(X0,X1,X2,X3))
| ~ icext(X2,sK8(X0,X1,X2,X3))
| ~ icext(X3,sK8(X0,X1,X2,X3))
| ~ icext(X0,sK8(X0,X1,X2,X3)) )
& ( ( icext(X1,sK8(X0,X1,X2,X3))
& icext(X2,sK8(X0,X1,X2,X3))
& icext(X3,sK8(X0,X1,X2,X3)) )
| icext(X0,sK8(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,[sK8]),skolemize(X4,sK8(X0,X1,X2,X3))],[f189]) ).
fof(f205,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,[],[f158]) ).
fof(f216,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ~ ip(X0)
| ~ ic(X1)
| ? [X2,X3] :
( ~ icext(X1,X2)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ic(X1)
& ! [X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(nnf_transformation,[],[f167]) ).
fof(f217,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ~ ip(X0)
| ~ ic(X1)
| ? [X2,X3] :
( ~ icext(X1,X2)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ic(X1)
& ! [X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(flattening,[],[f216]) ).
fof(f218,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ~ ip(X0)
| ~ ic(X1)
| ? [X2,X3] :
( ~ icext(X1,X2)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ic(X1)
& ! [X4,X5] :
( icext(X1,X4)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(rectify,[],[f217]) ).
fof(f219,plain,
! [X0,X1] :
( ( iext(uri_rdfs_domain,X0,X1)
| ~ ip(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK16(X0,X1))
& iext(X0,sK16(X0,X1),sK17(X0,X1)) ) )
& ( ( ip(X0)
& ic(X1)
& ! [X4,X5] :
( icext(X1,X4)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_domain,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X2,sK16(X0,X1)),skolemize(X3,sK17(X0,X1))],[f218]) ).
fof(f225,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
| ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
inference(cnf_transformation,[],[f144]) ).
fof(f226,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f227,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f228,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[],[f184]) ).
fof(f229,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[],[f184]) ).
fof(f230,plain,
iext(uri_owl_hasValue,sK7,uri_foaf_Person),
inference(cnf_transformation,[],[f184]) ).
fof(f231,plain,
iext(uri_owl_onProperty,sK7,uri_rdfs_domain),
inference(cnf_transformation,[],[f184]) ).
fof(f233,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f184]) ).
fof(f234,plain,
iext(uri_rdf_first,sK6,sK7),
inference(cnf_transformation,[],[f184]) ).
fof(f235,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(cnf_transformation,[],[f184]) ).
fof(f236,plain,
iext(uri_rdf_first,sK5,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f184]) ).
fof(f237,plain,
iext(uri_rdf_rest,sK4,sK5),
inference(cnf_transformation,[],[f184]) ).
fof(f238,plain,
iext(uri_rdf_first,sK4,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f184]) ).
fof(f239,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK4),
inference(cnf_transformation,[],[f184]) ).
fof(f244,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,[],[f186]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X0,X5)
| icext(X3,X5) ),
inference(cnf_transformation,[],[f190]) ).
fof(f247,plain,
! [X2,X3,X0,X1,X5] :
( ~ sP0(X0,X1,X2,X3)
| ~ icext(X0,X5)
| icext(X2,X5) ),
inference(cnf_transformation,[],[f190]) ).
fof(f258,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,[],[f179]) ).
fof(f294,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,[],[f205]) ).
fof(f312,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X4,X5)
| icext(X1,X4) ),
inference(cnf_transformation,[],[f219]) ).
fof(f350,definition,
( spl19_1
<=> iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f352,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| spl19_1 ),
inference(avatar_component_clause,[],[f350]) ).
fof(f354,definition,
( spl19_2
<=> iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f356,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
| spl19_2 ),
inference(avatar_component_clause,[],[f354]) ).
fof(f357,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f225,f354,f350]) ).
fof(f428,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(resolution,[],[f226,f229]) ).
fof(f432,plain,
( ~ icext(uri_foaf_Person,uri_ex_alice)
| spl19_1 ),
inference(resolution,[],[f227,f352]) ).
fof(f629,plain,
! [X0,X1] :
( ~ iext(uri_owl_hasValue,sK7,X1)
| ~ icext(sK7,X0)
| iext(uri_rdfs_domain,X0,X1) ),
inference(resolution,[],[f294,f231]) ).
fof(f910,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X2,sK6)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,sK6,X4)
| sP1(X4,X3,X1,X5,X0) ),
inference(resolution,[],[f258,f233]) ).
fof(f932,plain,
! [X0] :
( iext(uri_rdfs_domain,X0,uri_foaf_Person)
| ~ icext(sK7,X0) ),
inference(resolution,[],[f629,f230]) ).
fof(f989,plain,
! [X2,X0,X1] :
( ~ iext(X0,X1,X2)
| ~ icext(sK7,X0)
| icext(uri_foaf_Person,X1) ),
inference(resolution,[],[f932,f312]) ).
fof(f1117,plain,
( ~ icext(sK7,uri_ex_name)
| icext(uri_foaf_Person,uri_ex_alice) ),
inference(resolution,[],[f989,f228]) ).
fof(f1118,plain,
( ~ icext(sK7,uri_ex_name)
| spl19_1 ),
inference(forward_subsumption_resolution,[],[f1117,f432]) ).
fof(f1852,plain,
! [X2,X3,X0,X1,X4] :
( sP1(X3,X1,X2,X4,X0)
| ~ iext(uri_rdf_first,sK5,X1)
| ~ iext(uri_rdf_first,X0,X2)
| ~ iext(uri_rdf_first,sK6,X3)
| ~ iext(uri_rdf_rest,X0,sK5) ),
inference(resolution,[],[f910,f235]) ).
fof(f2074,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X1,sK5)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_first,sK6,X3)
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(uri_owl_intersectionOf,X4,X1)
| sP0(X4,X2,X0,X3) ),
inference(resolution,[],[f1852,f244]) ).
fof(f3055,plain,
! [X2,X3,X0,X1] :
( sP0(X3,X0,X2,X1)
| ~ iext(uri_rdf_first,sK6,X1)
| ~ iext(uri_rdf_first,sK5,X2)
| ~ iext(uri_owl_intersectionOf,X3,sK4)
| ~ iext(uri_rdf_first,sK4,X0) ),
inference(resolution,[],[f2074,f237]) ).
fof(f3062,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_first,sK5,X1)
| ~ iext(uri_owl_intersectionOf,X2,sK4)
| ~ iext(uri_rdf_first,sK4,X3)
| ~ icext(X2,X4)
| icext(X0,X4) ),
inference(resolution,[],[f3055,f246]) ).
fof(f3063,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK6,X0)
| ~ iext(uri_rdf_first,sK5,X1)
| ~ iext(uri_owl_intersectionOf,X2,sK4)
| ~ iext(uri_rdf_first,sK4,X3)
| ~ icext(X2,X4)
| icext(X1,X4) ),
inference(resolution,[],[f3055,f247]) ).
fof(f3076,definition,
( spl19_137
<=> ! [X1] : ~ iext(uri_rdf_first,sK5,X1) ),
introduced(definition,[new_symbols(definition,[spl19_137])],[avatar_definition]) ).
fof(f3077,plain,
( ! [X1] : ~ iext(uri_rdf_first,sK5,X1)
| ~ spl19_137 ),
inference(avatar_component_clause,[],[f3076]) ).
fof(f3079,definition,
( spl19_138
<=> ! [X0] : ~ iext(uri_rdf_first,sK6,X0) ),
introduced(definition,[new_symbols(definition,[spl19_138])],[avatar_definition]) ).
fof(f3080,plain,
( ! [X0] : ~ iext(uri_rdf_first,sK6,X0)
| ~ spl19_138 ),
inference(avatar_component_clause,[],[f3079]) ).
fof(f3090,definition,
( spl19_141
<=> ! [X3] : ~ iext(uri_rdf_first,sK4,X3) ),
introduced(definition,[new_symbols(definition,[spl19_141])],[avatar_definition]) ).
fof(f3091,plain,
( ! [X3] : ~ iext(uri_rdf_first,sK4,X3)
| ~ spl19_141 ),
inference(avatar_component_clause,[],[f3090]) ).
fof(f3102,definition,
( spl19_144
<=> ! [X4,X1,X2] :
( ~ iext(uri_rdf_first,sK5,X1)
| icext(X1,X4)
| ~ iext(uri_owl_intersectionOf,X2,sK4)
| ~ icext(X2,X4) ) ),
introduced(definition,[new_symbols(definition,[spl19_144])],[avatar_definition]) ).
fof(f3103,plain,
( ! [X2,X1,X4] :
( ~ iext(uri_rdf_first,sK5,X1)
| icext(X1,X4)
| ~ iext(uri_owl_intersectionOf,X2,sK4)
| ~ icext(X2,X4) )
| ~ spl19_144 ),
inference(avatar_component_clause,[],[f3102]) ).
fof(f3104,plain,
( spl19_141
| spl19_144
| spl19_138 ),
inference(avatar_split_clause,[],[f3063,f3079,f3102,f3090]) ).
fof(f3106,definition,
( spl19_145
<=> ! [X4,X0,X2] :
( ~ iext(uri_rdf_first,sK6,X0)
| icext(X0,X4)
| ~ iext(uri_owl_intersectionOf,X2,sK4)
| ~ icext(X2,X4) ) ),
introduced(definition,[new_symbols(definition,[spl19_145])],[avatar_definition]) ).
fof(f3107,plain,
( ! [X2,X0,X4] :
( ~ iext(uri_rdf_first,sK6,X0)
| icext(X0,X4)
| ~ iext(uri_owl_intersectionOf,X2,sK4)
| ~ icext(X2,X4) )
| ~ spl19_145 ),
inference(avatar_component_clause,[],[f3106]) ).
fof(f3108,plain,
( spl19_141
| spl19_137
| spl19_145 ),
inference(avatar_split_clause,[],[f3062,f3106,f3076,f3090]) ).
fof(f3119,plain,
( $false
| ~ spl19_138 ),
inference(resolution,[],[f3080,f234]) ).
fof(f3122,plain,
~ spl19_138,
inference(avatar_contradiction_clause,[],[f3119]) ).
fof(f3129,plain,
( $false
| ~ spl19_137 ),
inference(resolution,[],[f3077,f236]) ).
fof(f3132,plain,
~ spl19_137,
inference(avatar_contradiction_clause,[],[f3129]) ).
fof(f3142,plain,
( $false
| ~ spl19_141 ),
inference(resolution,[],[f3091,f238]) ).
fof(f3145,plain,
~ spl19_141,
inference(avatar_contradiction_clause,[],[f3142]) ).
fof(f5339,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_intersectionOf,X1,sK4)
| icext(uri_owl_FunctionalProperty,X0)
| ~ icext(X1,X0) )
| ~ spl19_144 ),
inference(resolution,[],[f3103,f236]) ).
fof(f5344,plain,
( ! [X0] :
( ~ icext(uri_ex_PersonAttribute,X0)
| icext(uri_owl_FunctionalProperty,X0) )
| ~ spl19_144 ),
inference(resolution,[],[f5339,f239]) ).
fof(f5345,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_name)
| ~ spl19_144 ),
inference(resolution,[],[f5344,f428]) ).
fof(f5468,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_intersectionOf,X1,sK4)
| icext(sK7,X0)
| ~ icext(X1,X0) )
| ~ spl19_145 ),
inference(resolution,[],[f3107,f234]) ).
fof(f5473,plain,
( ! [X0] :
( ~ icext(uri_ex_PersonAttribute,X0)
| icext(sK7,X0) )
| ~ spl19_145 ),
inference(resolution,[],[f5468,f239]) ).
fof(f5474,plain,
( icext(sK7,uri_ex_name)
| ~ spl19_145 ),
inference(resolution,[],[f5473,f428]) ).
fof(f5546,plain,
( $false
| spl19_1
| ~ spl19_145 ),
inference(forward_subsumption_resolution,[],[f5474,f1118]) ).
fof(f5547,plain,
( spl19_1
| ~ spl19_145 ),
inference(avatar_contradiction_clause,[],[f5546]) ).
fof(f5574,plain,
( ~ icext(uri_owl_FunctionalProperty,uri_ex_name)
| spl19_2 ),
inference(resolution,[],[f356,f227]) ).
fof(f5575,plain,
( $false
| spl19_2
| ~ spl19_144 ),
inference(forward_subsumption_resolution,[],[f5574,f5345]) ).
fof(f5576,plain,
( spl19_2
| ~ spl19_144 ),
inference(avatar_contradiction_clause,[],[f5575]) ).
cnf(s1,plain,
( ~ spl19_1
| ~ spl19_2 ),
inference(sat_conversion,[],[f357]) ).
cnf(s127,plain,
( spl19_138
| spl19_141
| spl19_144 ),
inference(sat_conversion,[],[f3104]) ).
cnf(s128,plain,
( spl19_137
| spl19_141
| spl19_145 ),
inference(sat_conversion,[],[f3108]) ).
cnf(s130,plain,
~ spl19_138,
inference(sat_conversion,[],[f3122]) ).
cnf(s131,plain,
~ spl19_137,
inference(sat_conversion,[],[f3132]) ).
cnf(s132,plain,
~ spl19_141,
inference(sat_conversion,[],[f3145]) ).
cnf(s184,plain,
( spl19_1
| ~ spl19_145 ),
inference(sat_conversion,[],[f5547]) ).
cnf(s188,plain,
( spl19_2
| ~ spl19_144 ),
inference(sat_conversion,[],[f5576]) ).
cnf(s190,plain,
spl19_145,
inference(rat,[],[s128,s132,s131]) ).
cnf(s192,plain,
spl19_1,
inference(rat,[],[s184,s190]) ).
cnf(s194,plain,
spl19_144,
inference(rat,[],[s127,s132,s130]) ).
cnf(s195,plain,
spl19_2,
inference(rat,[],[s188,s194]) ).
cnf(s237,plain,
$false,
inference(rat,[],[s1,s195,s192]) ).
fof(f5577,plain,
$false,
inference(avatar_sat_refutation,[],[s237]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB012+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n017.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 06:54:36 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 4.76/1.66 % (3360230)Detected formulas, will run a generic FOF schedule.
% 4.76/1.66 % (3360237)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=2786988480:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.76/1.66 % (3360238)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1296948056:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.76/1.66 % (3360236)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=804854749:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.76/1.66 % (3360239)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2131645569:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.76/1.66 % (3360241)dis-21_1_sil=8000:lcm=predicate:random_seed=3164444284: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)
% 4.76/1.66 % (3360235)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=881844963:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.76/1.66 % (3360240)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3052534228:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.76/1.66 % (3360239)Refutation not found, incomplete strategy
% 4.76/1.66 % (3360239)------------------------------
% 4.76/1.66 % (3360239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (3360239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (3360238)Refutation not found, incomplete strategy
% 4.76/1.66 % (3360238)------------------------------
% 4.76/1.66 % (3360238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (3360239)CaDiCaL version: 2.1.3
% 4.76/1.66 % (3360239)Termination reason: Refutation not found, incomplete strategy
% 4.76/1.66 % (3360239)Time elapsed: 0.001 s
% 4.76/1.66 % (3360238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (3360239)Peak memory usage: 86 MB
% 4.76/1.66 % (3360238)CaDiCaL version: 2.1.3
% 4.76/1.66 % (3360238)Termination reason: Refutation not found, incomplete strategy
% 4.76/1.66 % (3360238)Time elapsed: 0.001 s
% 4.76/1.66 % (3360238)Peak memory usage: 86 MB
% 4.76/1.66 % (3360241)Instruction limit reached!
% 4.76/1.66 % (3360241)------------------------------
% 4.76/1.66 % (3360241)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (3360241)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (3360241)CaDiCaL version: 2.1.3
% 4.76/1.66 % (3360241)Termination reason: Instruction limit
% 4.76/1.66 % (3360241)Termination phase: Saturation
% 4.76/1.66 % (3360241)Time elapsed: 0.073 s
% 4.76/1.66 % (3360241)Peak memory usage: 88 MB
% 4.76/1.66 % (3360241)Instructions burned: 130 (million)
% 4.76/1.66 % (3360240)Instruction limit reached!
% 4.76/1.66 % (3360240)------------------------------
% 4.76/1.66 % (3360240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (3360240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (3360240)CaDiCaL version: 2.1.3
% 4.76/1.66 % (3360240)Termination reason: Instruction limit
% 4.76/1.66 % (3360240)Termination phase: Saturation
% 4.76/1.66 % (3360240)Time elapsed: 0.099 s
% 4.76/1.66 % (3360240)Peak memory usage: 90 MB
% 4.76/1.66 % (3360240)Instructions burned: 141 (million)
% 4.76/1.66 % (3360249)lrs+10_1_sil=8000:sp=occurrence:random_seed=1765357856:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.76/1.66 % (3360238)------------------------------
% 4.76/1.66 % (3360238)------------------------------
% 4.76/1.66 % (3360239)------------------------------
% 4.76/1.66 % (3360239)------------------------------
% 4.76/1.66 % (3360250)lrs+10_1_sil=32000:urr=on:br=off:random_seed=22901673:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.76/1.66 % (3360250)Refutation not found, incomplete strategy
% 4.76/1.66 % (3360250)------------------------------
% 4.76/1.66 % (3360250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (3360250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (3360250)CaDiCaL version: 2.1.3
% 4.76/1.66 % (3360250)Termination reason: Refutation not found, incomplete strategy
% 4.76/1.66 % (3360250)Time elapsed: 0.002 s
% 4.76/1.66 % (3360250)Peak memory usage: 88 MB
% 4.76/1.66 % (3360250)Instructions burned: 1 (million)
% 4.76/1.66 % (3360249)First to succeed.
% 4.76/1.66 % (3360249)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3360230"
% 4.76/1.66 % (3360252)lrs+1011_1_sil=32000:sp=occurrence:random_seed=938672058:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.76/1.66 % (3360253)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=2844171342:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.76/1.66 % (3360252)Refutation not found, incomplete strategy
% 4.76/1.66 % (3360252)------------------------------
% 4.76/1.66 % (3360252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (3360252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (3360252)CaDiCaL version: 2.1.3
% 4.76/1.66 % (3360252)Termination reason: Refutation not found, incomplete strategy
% 4.76/1.66 % (3360252)Time elapsed: 0.002 s
% 4.76/1.66 % (3360252)Peak memory usage: 88 MB
% 4.76/1.66 % (3360252)Instructions burned: 1 (million)
% 4.76/1.66 % (3360250)------------------------------
% 4.76/1.66 % (3360250)------------------------------
% 4.76/1.66 % (3360253)Instruction limit reached!
% 4.76/1.66 % (3360253)------------------------------
% 4.76/1.66 % (3360253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.76/1.66 % (3360253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.76/1.66 % (3360253)CaDiCaL version: 2.1.3
% 4.76/1.66 % (3360253)Termination reason: Instruction limit
% 4.76/1.66 % (3360253)Termination phase: Saturation
% 4.76/1.66 % (3360253)Time elapsed: 0.122 s
% 4.76/1.66 % (3360253)Peak memory usage: 92 MB
% 4.76/1.66 % (3360253)Instructions burned: 248 (million)
% 4.76/1.66 % (3360249)Refutation found. Thanks to Tanya!
% 4.76/1.66 % SZS status Theorem for theBenchmark
% 4.76/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 6.19/1.85 % (3360249)------------------------------
% 6.19/1.85 % (3360249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.19/1.85 % (3360249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.19/1.85 % (3360249)CaDiCaL version: 2.1.3
% 6.19/1.85 % (3360249)Termination reason: Refutation
% 6.19/1.85 % (3360249)Time elapsed: 0.132 s
% 6.19/1.85 % (3360249)Peak memory usage: 92 MB
% 6.19/1.85 % (3360249)Instructions burned: 222 (million)
% 6.19/1.85 % (3360249)------------------------------
% 6.19/1.85 % (3360249)------------------------------
% 6.19/1.85 % (3360230)Success in time 0.793 s
% 6.19/1.85 % Vampire exiting
%------------------------------------------------------------------------------