%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB012+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 01:00:34 PM UTC 2026
% Result : Theorem 0.66s 0.45s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 15
% Syntax : Number of formulae : 103 ( 26 unt; 9 def)
% Number of atoms : 337 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 409 ( 175 ~; 168 |; 42 &)
% ( 21 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 10 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 21 con; 0-1 aty)
% Number of variables : 162 ( 0 sgn 158 !; 4 ?)
% 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/sandbox/benchmark/Axioms/SWB002+0.ax',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/sandbox/benchmark/Axioms/SWB002+0.ax',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/sandbox/benchmark/Axioms/SWB002+0.ax',owl_restrict_hasvalue) ).
fof(f80,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWB002+0.ax',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/sandbox/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/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_012_Template_Class) ).
fof(f151,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(f152,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,[],[f151]) ).
fof(f184,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(f190,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(f191,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,[],[f190]) ).
fof(f211,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(f236,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| icext(X6,X7)
| ~ icext(X0,X7)
| ~ iext(uri_owl_intersectionOf,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f237,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ iext(uri_rdf_rest,X5,uri_rdf_nil)
| ~ iext(uri_rdf_first,X5,X6)
| ~ iext(uri_rdf_rest,X3,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| icext(X4,X7)
| ~ icext(X0,X7)
| ~ iext(uri_owl_intersectionOf,X0,X1) ),
inference(cnf_transformation,[],[f152]) ).
fof(f339,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(X1,X2)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f184]) ).
fof(f361,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_hasValue,X0,X2)
| iext(X1,X3,X2)
| ~ icext(X0,X3) ),
inference(cnf_transformation,[],[f191]) ).
fof(f387,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f388,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f454,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
inference(cnf_transformation,[],[f211]) ).
fof(f455,plain,
iext(uri_ex_name,uri_ex_alice,literal_plain(dat_str_alice)),
inference(cnf_transformation,[],[f141]) ).
fof(f456,plain,
iext(uri_rdf_type,uri_ex_name,uri_ex_PersonAttribute),
inference(cnf_transformation,[],[f141]) ).
fof(f457,plain,
iext(uri_owl_hasValue,sK21,uri_foaf_Person),
inference(cnf_transformation,[],[f141]) ).
fof(f458,plain,
iext(uri_owl_onProperty,sK21,uri_rdfs_domain),
inference(cnf_transformation,[],[f141]) ).
fof(f460,plain,
iext(uri_rdf_rest,sK20,uri_rdf_nil),
inference(cnf_transformation,[],[f141]) ).
fof(f461,plain,
iext(uri_rdf_first,sK20,sK21),
inference(cnf_transformation,[],[f141]) ).
fof(f462,plain,
iext(uri_rdf_rest,sK19,sK20),
inference(cnf_transformation,[],[f141]) ).
fof(f463,plain,
iext(uri_rdf_first,sK19,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f141]) ).
fof(f464,plain,
iext(uri_rdf_rest,sK18,sK19),
inference(cnf_transformation,[],[f141]) ).
fof(f465,plain,
iext(uri_rdf_first,sK18,uri_owl_DatatypeProperty),
inference(cnf_transformation,[],[f141]) ).
fof(f466,plain,
iext(uri_owl_intersectionOf,uri_ex_PersonAttribute,sK18),
inference(cnf_transformation,[],[f141]) ).
fof(f469,definition,
( spl22_1
<=> iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty) ),
introduced(definition,[new_symbols(definition,[spl22_1])],[avatar_definition]) ).
fof(f471,plain,
( ~ iext(uri_rdf_type,uri_ex_name,uri_owl_FunctionalProperty)
| spl22_1 ),
inference(avatar_component_clause,[],[f469]) ).
fof(f473,definition,
( spl22_2
<=> iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person) ),
introduced(definition,[new_symbols(definition,[spl22_2])],[avatar_definition]) ).
fof(f475,plain,
( ~ iext(uri_rdf_type,uri_ex_alice,uri_foaf_Person)
| spl22_2 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f476,plain,
( ~ spl22_1
| ~ spl22_2 ),
inference(avatar_split_clause,[],[f454,f473,f469]) ).
fof(f477,plain,
( ~ icext(uri_owl_FunctionalProperty,uri_ex_name)
| spl22_1 ),
inference(resolution,[],[f387,f471]) ).
fof(f479,plain,
icext(uri_ex_PersonAttribute,uri_ex_name),
inference(resolution,[],[f388,f456]) ).
fof(f870,plain,
( ~ icext(uri_foaf_Person,uri_ex_alice)
| spl22_2 ),
inference(resolution,[],[f475,f387]) ).
fof(f1717,plain,
! [X0,X1] :
( ~ iext(uri_owl_hasValue,sK21,X0)
| iext(uri_rdfs_domain,X1,X0)
| ~ icext(sK21,X1) ),
inference(resolution,[],[f361,f458]) ).
fof(f1719,plain,
! [X0] :
( ~ icext(sK21,X0)
| iext(uri_rdfs_domain,X0,uri_foaf_Person) ),
inference(resolution,[],[f1717,f457]) ).
fof(f1907,definition,
( spl22_55
<=> ! [X0] : ~ iext(uri_rdf_first,sK20,X0) ),
introduced(definition,[new_symbols(definition,[spl22_55])],[avatar_definition]) ).
fof(f1908,plain,
( ! [X0] : ~ iext(uri_rdf_first,sK20,X0)
| ~ spl22_55 ),
inference(avatar_component_clause,[],[f1907]) ).
fof(f1924,plain,
( $false
| ~ spl22_55 ),
inference(resolution,[],[f1908,f461]) ).
fof(f1925,plain,
~ spl22_55,
inference(avatar_contradiction_clause,[],[f1924]) ).
fof(f1985,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X1,sK20)
| ~ iext(uri_rdf_first,sK20,X0)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| icext(X0,X5)
| ~ icext(X6,X5)
| ~ iext(uri_owl_intersectionOf,X6,X3) ),
inference(resolution,[],[f236,f460]) ).
fof(f1992,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ iext(uri_rdf_first,sK20,X0)
| ~ iext(uri_rdf_rest,X1,sK20)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X3,X4)
| icext(X2,X5)
| ~ icext(X6,X5)
| ~ iext(uri_owl_intersectionOf,X6,X3) ),
inference(resolution,[],[f237,f460]) ).
fof(f1994,definition,
( spl22_59
<=> ! [X5,X3,X2,X4,X6,X1] :
( ~ iext(uri_rdf_rest,X1,sK20)
| ~ iext(uri_owl_intersectionOf,X6,X3)
| ~ icext(X6,X5)
| icext(X2,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl22_59])],[avatar_definition]) ).
fof(f1995,plain,
( ! [X2,X3,X1,X6,X4,X5] :
( ~ iext(uri_rdf_rest,X1,sK20)
| ~ iext(uri_owl_intersectionOf,X6,X3)
| ~ icext(X6,X5)
| icext(X2,X5)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,X1)
| ~ iext(uri_rdf_first,X1,X2) )
| ~ spl22_59 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f1996,plain,
( spl22_59
| spl22_55 ),
inference(avatar_split_clause,[],[f1992,f1907,f1994]) ).
fof(f2404,definition,
( spl22_81
<=> ! [X2] : ~ iext(uri_rdf_first,sK19,X2) ),
introduced(definition,[new_symbols(definition,[spl22_81])],[avatar_definition]) ).
fof(f2405,plain,
( ! [X2] : ~ iext(uri_rdf_first,sK19,X2)
| ~ spl22_81 ),
inference(avatar_component_clause,[],[f2404]) ).
fof(f2410,plain,
( $false
| ~ spl22_81 ),
inference(resolution,[],[f2405,f463]) ).
fof(f2411,plain,
~ spl22_81,
inference(avatar_contradiction_clause,[],[f2410]) ).
fof(f2426,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X1,sK19)
| ~ icext(X0,X2)
| icext(X3,X2)
| ~ iext(uri_rdf_first,X1,X4)
| ~ iext(uri_owl_intersectionOf,X0,X1)
| ~ iext(uri_rdf_first,sK19,X3) )
| ~ spl22_59 ),
inference(resolution,[],[f1995,f462]) ).
fof(f2586,plain,
( ! [X2,X3,X0,X1] :
( ~ icext(X0,X1)
| icext(X2,X1)
| ~ iext(uri_rdf_first,sK18,X3)
| ~ iext(uri_owl_intersectionOf,X0,sK18)
| ~ iext(uri_rdf_first,sK19,X2) )
| ~ spl22_59 ),
inference(resolution,[],[f2426,f464]) ).
fof(f2588,definition,
( spl22_95
<=> ! [X3] : ~ iext(uri_rdf_first,sK18,X3) ),
introduced(definition,[new_symbols(definition,[spl22_95])],[avatar_definition]) ).
fof(f2589,plain,
( ! [X3] : ~ iext(uri_rdf_first,sK18,X3)
| ~ spl22_95 ),
inference(avatar_component_clause,[],[f2588]) ).
fof(f2591,definition,
( spl22_96
<=> ! [X2,X0,X1] :
( ~ icext(X0,X1)
| ~ iext(uri_rdf_first,sK19,X2)
| ~ iext(uri_owl_intersectionOf,X0,sK18)
| icext(X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl22_96])],[avatar_definition]) ).
fof(f2592,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK19,X2)
| ~ icext(X0,X1)
| ~ iext(uri_owl_intersectionOf,X0,sK18)
| icext(X2,X1) )
| ~ spl22_96 ),
inference(avatar_component_clause,[],[f2591]) ).
fof(f2593,plain,
( spl22_95
| spl22_96
| ~ spl22_59 ),
inference(avatar_split_clause,[],[f2586,f1994,f2591,f2588]) ).
fof(f2594,plain,
( $false
| ~ spl22_95 ),
inference(resolution,[],[f2589,f465]) ).
fof(f2595,plain,
~ spl22_95,
inference(avatar_contradiction_clause,[],[f2594]) ).
fof(f2597,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,sK18)
| ~ icext(X0,X1)
| icext(uri_owl_FunctionalProperty,X1) )
| ~ spl22_96 ),
inference(resolution,[],[f2592,f463]) ).
fof(f2598,plain,
( ! [X0] :
( ~ icext(uri_ex_PersonAttribute,X0)
| icext(uri_owl_FunctionalProperty,X0) )
| ~ spl22_96 ),
inference(resolution,[],[f2597,f466]) ).
fof(f2599,plain,
( icext(uri_owl_FunctionalProperty,uri_ex_name)
| ~ spl22_96 ),
inference(resolution,[],[f2598,f479]) ).
fof(f4089,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_first,sK20,X0)
| ~ iext(uri_rdf_first,sK19,X1)
| ~ iext(uri_rdf_rest,X2,sK19)
| ~ iext(uri_rdf_first,X2,X3)
| icext(X0,X4)
| ~ icext(X5,X4)
| ~ iext(uri_owl_intersectionOf,X5,X2) ),
inference(resolution,[],[f1985,f462]) ).
fof(f4091,definition,
( spl22_160
<=> ! [X3,X4,X0,X5,X2] :
( ~ iext(uri_rdf_first,sK20,X0)
| ~ iext(uri_owl_intersectionOf,X5,X2)
| ~ icext(X5,X4)
| icext(X0,X4)
| ~ iext(uri_rdf_rest,X2,sK19)
| ~ iext(uri_rdf_first,X2,X3) ) ),
introduced(definition,[new_symbols(definition,[spl22_160])],[avatar_definition]) ).
fof(f4092,plain,
( ! [X2,X3,X0,X4,X5] :
( ~ iext(uri_rdf_rest,X2,sK19)
| ~ iext(uri_owl_intersectionOf,X5,X2)
| ~ icext(X5,X4)
| icext(X0,X4)
| ~ iext(uri_rdf_first,sK20,X0)
| ~ iext(uri_rdf_first,X2,X3) )
| ~ spl22_160 ),
inference(avatar_component_clause,[],[f4091]) ).
fof(f4093,plain,
( spl22_81
| spl22_160 ),
inference(avatar_split_clause,[],[f4089,f4091,f2404]) ).
fof(f4267,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,sK18)
| ~ icext(X0,X1)
| icext(X2,X1)
| ~ iext(uri_rdf_first,sK20,X2)
| ~ iext(uri_rdf_first,sK18,X3) )
| ~ spl22_160 ),
inference(resolution,[],[f4092,f464]) ).
fof(f4269,definition,
( spl22_162
<=> ! [X2,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,sK18)
| ~ iext(uri_rdf_first,sK20,X2)
| icext(X2,X1)
| ~ icext(X0,X1) ) ),
introduced(definition,[new_symbols(definition,[spl22_162])],[avatar_definition]) ).
fof(f4270,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK20,X2)
| ~ iext(uri_owl_intersectionOf,X0,sK18)
| icext(X2,X1)
| ~ icext(X0,X1) )
| ~ spl22_162 ),
inference(avatar_component_clause,[],[f4269]) ).
fof(f4271,plain,
( spl22_95
| spl22_162
| ~ spl22_160 ),
inference(avatar_split_clause,[],[f4267,f4091,f4269,f2588]) ).
fof(f4272,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,sK18)
| icext(sK21,X1)
| ~ icext(X0,X1) )
| ~ spl22_162 ),
inference(resolution,[],[f4270,f461]) ).
fof(f4273,plain,
( ! [X0] :
( ~ icext(uri_ex_PersonAttribute,X0)
| icext(sK21,X0) )
| ~ spl22_162 ),
inference(resolution,[],[f4272,f466]) ).
fof(f4274,plain,
( icext(sK21,uri_ex_name)
| ~ spl22_162 ),
inference(resolution,[],[f4273,f479]) ).
fof(f4290,plain,
( iext(uri_rdfs_domain,uri_ex_name,uri_foaf_Person)
| ~ spl22_162 ),
inference(resolution,[],[f4274,f1719]) ).
fof(f4292,plain,
( ! [X0,X1] :
( ~ iext(uri_ex_name,X0,X1)
| icext(uri_foaf_Person,X0) )
| ~ spl22_162 ),
inference(resolution,[],[f4290,f339]) ).
fof(f4296,plain,
( icext(uri_foaf_Person,uri_ex_alice)
| ~ spl22_162 ),
inference(resolution,[],[f4292,f455]) ).
fof(f4300,plain,
( $false
| spl22_2
| ~ spl22_162 ),
inference(forward_subsumption_resolution,[],[f4296,f870]) ).
fof(f4301,plain,
( spl22_2
| ~ spl22_162 ),
inference(avatar_contradiction_clause,[],[f4300]) ).
fof(f4302,plain,
( $false
| spl22_1
| ~ spl22_96 ),
inference(forward_subsumption_resolution,[],[f477,f2599]) ).
fof(f4303,plain,
( spl22_1
| ~ spl22_96 ),
inference(avatar_contradiction_clause,[],[f4302]) ).
cnf(s1,plain,
( ~ spl22_1
| ~ spl22_2 ),
inference(sat_conversion,[],[f476]) ).
cnf(s37,plain,
~ spl22_55,
inference(sat_conversion,[],[f1925]) ).
cnf(s39,plain,
( spl22_55
| spl22_59 ),
inference(sat_conversion,[],[f1996]) ).
cnf(s60,plain,
~ spl22_81,
inference(sat_conversion,[],[f2411]) ).
cnf(s76,plain,
( ~ spl22_59
| spl22_95
| spl22_96 ),
inference(sat_conversion,[],[f2593]) ).
cnf(s77,plain,
~ spl22_95,
inference(sat_conversion,[],[f2595]) ).
cnf(s263,plain,
( spl22_81
| spl22_160 ),
inference(sat_conversion,[],[f4093]) ).
cnf(s265,plain,
( spl22_95
| ~ spl22_160
| spl22_162 ),
inference(sat_conversion,[],[f4271]) ).
cnf(s266,plain,
( spl22_2
| ~ spl22_162 ),
inference(sat_conversion,[],[f4301]) ).
cnf(s267,plain,
( spl22_1
| ~ spl22_96 ),
inference(sat_conversion,[],[f4303]) ).
cnf(s274,plain,
( ~ spl22_59
| spl22_96 ),
inference(rat,[],[s76,s77]) ).
cnf(s279,plain,
spl22_160,
inference(rat,[],[s263,s60]) ).
cnf(s282,plain,
spl22_162,
inference(rat,[],[s265,s77,s279]) ).
cnf(s283,plain,
spl22_2,
inference(rat,[],[s266,s282]) ).
cnf(s289,plain,
spl22_59,
inference(rat,[],[s39,s37]) ).
cnf(s293,plain,
spl22_96,
inference(rat,[],[s274,s289]) ).
cnf(s295,plain,
spl22_1,
inference(rat,[],[s267,s293]) ).
cnf(s303,plain,
$false,
inference(rat,[],[s1,s283,s295]) ).
fof(f4315,plain,
$false,
inference(avatar_sat_refutation,[],[s303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB012+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % 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/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.32 Running first-order model finding
% 0.07/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.45 % (3192874)Will run a generic schedule for satisfiability detection.
% 0.66/0.45 % (3192885)% WARNING: option uhcvi not known.
% 0.66/0.45 % (3192884)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=665179775_2999 on theBenchmark for (2999ds/0Mi)
% 0.66/0.45 % (3192885)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1346053544:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.66/0.45 % (3192886)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=604772722:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.66/0.45 % (3192889)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2028271647:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.66/0.45 % (3192887)dis+10_1_sil=32000:sp=arity:random_seed=3607273516:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.66/0.45 % (3192888)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3026376216:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.66/0.45 % (3192891)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1899292754:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.66/0.45 % TRYING [1]
% 0.66/0.45 % TRYING [2]
% 0.66/0.45 % TRYING [3]
% 0.66/0.45 % (3192888)Instruction limit reached!
% 0.66/0.45 % (3192888)------------------------------
% 0.66/0.45 % (3192888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.45 % (3192888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.45 % (3192888)CaDiCaL version: 2.1.3
% 0.66/0.45 % (3192888)Termination reason: Instruction limit
% 0.66/0.45 % (3192888)Termination phase: Blocked clause elimination
% 0.66/0.45 % (3192888)Time elapsed: 0.026 s
% 0.66/0.45 % (3192888)Peak memory usage: 11 MB
% 0.66/0.45 % (3192888)Instructions burned: 117 (million)
% 0.66/0.45 % TRYING [4]
% 0.66/0.45 % (3192887)Instruction limit reached!
% 0.66/0.45 % (3192887)------------------------------
% 0.66/0.45 % (3192887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.45 % (3192887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.45 % (3192887)CaDiCaL version: 2.1.3
% 0.66/0.45 % (3192887)Termination reason: Instruction limit
% 0.66/0.45 % (3192887)Termination phase: Saturation
% 0.66/0.45 % (3192887)Time elapsed: 0.033 s
% 0.66/0.45 % (3192887)Peak memory usage: 13 MB
% 0.66/0.45 % (3192887)Instructions burned: 106 (million)
% 0.66/0.45 % (3192889)Instruction limit reached!
% 0.66/0.45 % (3192889)------------------------------
% 0.66/0.45 % (3192889)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.45 % (3192889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.45 % (3192889)CaDiCaL version: 2.1.3
% 0.66/0.45 % (3192889)Termination reason: Instruction limit
% 0.66/0.45 % (3192889)Termination phase: Saturation
% 0.66/0.45 % (3192889)Time elapsed: 0.035 s
% 0.66/0.45 % (3192889)Peak memory usage: 14 MB
% 0.66/0.45 % (3192889)Instructions burned: 131 (million)
% 0.66/0.45 % (3192906)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2500099217:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.66/0.45 % (3192907)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3827851365:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.66/0.45 % TRYING [1]
% 0.66/0.45 % TRYING [2]
% 0.66/0.45 % (3192908)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2284546610:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.66/0.45 % TRYING [3]
% 0.66/0.45 % (3192891)Instruction limit reached!
% 0.66/0.45 % (3192891)------------------------------
% 0.66/0.45 % (3192891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.45 % (3192891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.45 % (3192891)CaDiCaL version: 2.1.3
% 0.66/0.45 % (3192891)Termination reason: Instruction limit
% 0.66/0.45 % (3192891)Termination phase: Saturation
% 0.66/0.45 % (3192891)Time elapsed: 0.050 s
% 0.66/0.45 % (3192891)Peak memory usage: 13 MB
% 0.66/0.45 % (3192891)Instructions burned: 160 (million)
% 0.66/0.45 % TRYING [4]
% 0.66/0.45 % (3192912)ott-21_1_sil=16000:fs=off:random_seed=3742213451:i=180:av=off:fsr=off_2999 on theBenchmark for (2999ds/180Mi)
% 0.66/0.45 % (3192907)Instruction limit reached!
% 0.66/0.45 % (3192907)------------------------------
% 0.66/0.45 % (3192907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.45 % (3192907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.45 % (3192907)CaDiCaL version: 2.1.3
% 0.66/0.45 % (3192907)Termination reason: Instruction limit
% 0.66/0.45 % (3192907)Termination phase: Saturation
% 0.66/0.45 % (3192907)Time elapsed: 0.035 s
% 0.66/0.45 % (3192907)Peak memory usage: 13 MB
% 0.66/0.45 % (3192907)Instructions burned: 134 (million)
% 0.66/0.45 % (3192908) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3192874-3192908"...
% 0.66/0.45 % (3192908)...printing done.
% 0.66/0.45 % (3192908)Refutation found. Thanks to Tanya!
% 0.66/0.45 % SZS status Theorem for theBenchmark
% 0.66/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.66/0.45 % (3192908)------------------------------
% 0.66/0.45 % (3192908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.45 % (3192908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.45 % (3192908)CaDiCaL version: 2.1.3
% 0.66/0.45 % (3192908)Termination reason: Refutation
% 0.66/0.45 % (3192908)Time elapsed: 0.045 s
% 0.66/0.45 % (3192908)Peak memory usage: 14 MB
% 0.66/0.45 % (3192908)Instructions burned: 125 (million)
% 0.66/0.45 % (3192874)Success in time 0.119 s
% 0.66/0.45 % Vampire exiting
%------------------------------------------------------------------------------