%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB016+2 : 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 : n006.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 01:00:37 PM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of formulae : 112 ( 27 unt; 7 def)
% Number of atoms : 377 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 432 ( 167 ~; 182 |; 65 &)
% ( 15 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 8 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 136 ( 0 sgn 124 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] :
( iext(uri_rdf_type,X0,uri_rdf_Property)
<=> ip(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f3,axiom,
! [X0,X1,X2,X3] :
( ( iext(uri_rdfs_domain,X0,X1)
& iext(X0,X2,X3) )
=> icext(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f4,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).
fof(f5,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
fof(f6,axiom,
ip(uri_owl_equivalentClass),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
fof(f8,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f9,axiom,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(f10,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f11,conjecture,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_016_Reflective_Tautologies_II) ).
fof(f12,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(negated_conjecture,[status(cth)],[f11]) ).
fof(f13,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(flattening,[],[f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f3]) ).
fof(f15,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f14]) ).
fof(f17,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f18,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f19,plain,
! [X0] :
( ( iext(uri_rdf_type,X0,uri_rdf_Property)
| ~ ip(X0) )
& ( ip(X0)
| ~ iext(uri_rdf_type,X0,uri_rdf_Property) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f20,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f2]) ).
fof(f21,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f22,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f21]) ).
fof(f23,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f22]) ).
fof(f24,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK0(X0,X1))
& icext(X0,sK0(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f23]) ).
fof(f25,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f18]) ).
fof(f26,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(flattening,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(rectify,[],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ~ iext(X1,sK1(X0,X1),sK2(X0,X1))
& iext(X0,sK1(X0,X1),sK2(X0,X1)) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X2,sK1(X0,X1)),skolemize(X3,sK2(X0,X1))],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK3(X0,X1))
| ~ icext(X0,sK3(X0,X1)) )
& ( icext(X1,sK3(X0,X1))
| icext(X0,sK3(X0,X1)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f31]) ).
fof(f33,plain,
! [X0] :
( ip(X0)
| ~ iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(cnf_transformation,[],[f19]) ).
fof(f36,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( icext(X1,X2)
| ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f15]) ).
fof(f38,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnf_transformation,[],[f4]) ).
fof(f39,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(cnf_transformation,[],[f5]) ).
fof(f40,plain,
ip(uri_owl_equivalentClass),
inference(cnf_transformation,[],[f6]) ).
fof(f46,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| icext(X0,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f47,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ~ icext(X1,sK0(X0,X1)) ),
inference(cnf_transformation,[],[f24]) ).
fof(f51,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| iext(X0,sK1(X0,X1),sK2(X0,X1)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f52,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ~ iext(X1,sK1(X0,X1),sK2(X0,X1)) ),
inference(cnf_transformation,[],[f28]) ).
fof(f53,plain,
! [X3,X0,X1] :
( icext(X1,X3)
| ~ icext(X0,X3)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f55,plain,
! [X0,X1] :
( ic(X1)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f56,plain,
! [X0,X1] :
( ic(X0)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f59,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(cnf_transformation,[],[f13]) ).
fof(f61,plain,
! [X0] :
( ip(X0)
| iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(consistent_polarity_flipping,[],[f33]) ).
fof(f62,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(consistent_polarity_flipping,[],[f36]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( iext(uri_rdfs_domain,X0,X1)
| ~ icext(X1,X2)
| iext(X0,X2,X3) ),
inference(consistent_polarity_flipping,[],[f37]) ).
fof(f65,plain,
~ iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(consistent_polarity_flipping,[],[f38]) ).
fof(f66,plain,
~ iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(consistent_polarity_flipping,[],[f39]) ).
fof(f69,plain,
! [X0,X1] :
( ic(X1)
| ic(X0)
| ~ iext(uri_rdfs_subClassOf,X0,X1)
| icext(X1,sK0(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f47]) ).
fof(f70,plain,
! [X0,X1] :
( ic(X1)
| ic(X0)
| ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ icext(X0,sK0(X0,X1)) ),
inference(consistent_polarity_flipping,[],[f46]) ).
fof(f74,plain,
! [X0,X1] :
( iext(X1,sK1(X0,X1),sK2(X0,X1))
| ~ ip(X0)
| ~ ip(X1)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(consistent_polarity_flipping,[],[f52]) ).
fof(f75,plain,
! [X0,X1] :
( ~ iext(X0,sK1(X0,X1),sK2(X0,X1))
| ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ ip(X1)
| ~ ip(X0) ),
inference(consistent_polarity_flipping,[],[f51]) ).
fof(f81,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0) ),
inference(consistent_polarity_flipping,[],[f56]) ).
fof(f82,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X1) ),
inference(consistent_polarity_flipping,[],[f55]) ).
fof(f84,plain,
! [X3,X0,X1] :
( icext(X0,X3)
| ~ icext(X1,X3)
| iext(uri_owl_equivalentClass,X0,X1) ),
inference(consistent_polarity_flipping,[],[f53]) ).
fof(f85,plain,
iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(consistent_polarity_flipping,[],[f59]) ).
fof(f91,plain,
! [X0,X1] :
( iext(uri_rdfs_domain,X0,X1)
| ~ icext(uri_rdf_Property,X0) ),
inference(resolution,[],[f64,f65]) ).
fof(f94,plain,
~ icext(uri_rdf_Property,uri_rdfs_subClassOf),
inference(resolution,[],[f91,f66]) ).
fof(f102,plain,
~ iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property),
inference(resolution,[],[f94,f62]) ).
fof(f107,plain,
( ~ iext(uri_owl_equivalentClass,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ ip(uri_rdfs_subClassOf)
| ~ ip(uri_owl_equivalentClass) ),
inference(resolution,[],[f75,f85]) ).
fof(f111,definition,
( spl4_1
<=> ip(uri_owl_equivalentClass) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f113,plain,
( ~ ip(uri_owl_equivalentClass)
| spl4_1 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f115,definition,
( spl4_2
<=> ip(uri_rdfs_subClassOf) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f117,plain,
( ~ ip(uri_rdfs_subClassOf)
| spl4_2 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f119,definition,
( spl4_3
<=> iext(uri_owl_equivalentClass,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f121,plain,
( ~ iext(uri_owl_equivalentClass,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| spl4_3 ),
inference(avatar_component_clause,[],[f119]) ).
fof(f122,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f107,f119,f115,f111]) ).
fof(f131,plain,
( $false
| spl4_1 ),
inference(resolution,[],[f113,f40]) ).
fof(f135,plain,
spl4_1,
inference(avatar_contradiction_clause,[],[f131]) ).
fof(f138,plain,
( iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property)
| spl4_2 ),
inference(resolution,[],[f117,f61]) ).
fof(f141,plain,
( $false
| spl4_2 ),
inference(resolution,[],[f138,f102]) ).
fof(f143,plain,
spl4_2,
inference(avatar_contradiction_clause,[],[f141]) ).
fof(f145,plain,
( ~ ic(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| spl4_3 ),
inference(resolution,[],[f121,f82]) ).
fof(f146,plain,
( ~ ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| spl4_3 ),
inference(resolution,[],[f121,f81]) ).
fof(f147,plain,
( ! [X0] :
( ic(X0)
| ~ iext(uri_rdfs_subClassOf,X0,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ icext(X0,sK0(X0,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))) )
| spl4_3 ),
inference(resolution,[],[f145,f70]) ).
fof(f148,plain,
( ! [X0] :
( icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(X0,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| ~ iext(uri_rdfs_subClassOf,X0,sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(X0) )
| spl4_3 ),
inference(resolution,[],[f145,f69]) ).
fof(f152,plain,
( ~ iext(uri_rdfs_subClassOf,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| spl4_3 ),
inference(resolution,[],[f147,f146]) ).
fof(f154,definition,
( spl4_6
<=> icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f156,plain,
( ~ icext(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| spl4_6 ),
inference(avatar_component_clause,[],[f154]) ).
fof(f158,definition,
( spl4_7
<=> iext(uri_rdfs_subClassOf,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f160,plain,
( ~ iext(uri_rdfs_subClassOf,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| spl4_7 ),
inference(avatar_component_clause,[],[f158]) ).
fof(f161,plain,
( ~ spl4_6
| ~ spl4_7
| spl4_3 ),
inference(avatar_split_clause,[],[f152,f119,f158,f154]) ).
fof(f174,plain,
( ~ ip(uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl4_7 ),
inference(resolution,[],[f160,f74]) ).
fof(f176,definition,
( spl4_10
<=> iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf) ),
introduced(definition,[new_symbols(definition,[spl4_10])],[avatar_definition]) ).
fof(f178,plain,
( ~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| spl4_10 ),
inference(avatar_component_clause,[],[f176]) ).
fof(f179,plain,
( ~ spl4_10
| ~ spl4_2
| ~ spl4_1
| spl4_7 ),
inference(avatar_split_clause,[],[f174,f158,f111,f115,f176]) ).
fof(f180,plain,
( $false
| spl4_10 ),
inference(resolution,[],[f178,f85]) ).
fof(f182,plain,
spl4_10,
inference(avatar_contradiction_clause,[],[f180]) ).
fof(f193,plain,
( ! [X0] :
( iext(uri_owl_equivalentClass,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),X0)
| ~ icext(X0,sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))) )
| spl4_6 ),
inference(resolution,[],[f156,f84]) ).
fof(f246,plain,
( ~ icext(sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK0(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf)))
| spl4_3
| spl4_6 ),
inference(resolution,[],[f193,f121]) ).
fof(f291,plain,
( ~ iext(uri_rdfs_subClassOf,sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf),sK2(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| spl4_3
| spl4_6 ),
inference(resolution,[],[f148,f246]) ).
fof(f293,definition,
( spl4_15
<=> ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf)) ),
introduced(definition,[new_symbols(definition,[spl4_15])],[avatar_definition]) ).
fof(f295,plain,
( ic(sK1(uri_owl_equivalentClass,uri_rdfs_subClassOf))
| ~ spl4_15 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f296,plain,
( spl4_15
| ~ spl4_7
| spl4_3
| spl4_6 ),
inference(avatar_split_clause,[],[f291,f154,f119,f158,f293]) ).
fof(f297,plain,
( $false
| spl4_3
| ~ spl4_15 ),
inference(resolution,[],[f295,f146]) ).
fof(f298,plain,
( spl4_3
| ~ spl4_15 ),
inference(avatar_contradiction_clause,[],[f297]) ).
cnf(s1,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3 ),
inference(sat_conversion,[],[f122]) ).
cnf(s3,plain,
spl4_1,
inference(sat_conversion,[],[f135]) ).
cnf(s4,plain,
spl4_2,
inference(sat_conversion,[],[f143]) ).
cnf(s5,plain,
( spl4_3
| ~ spl4_6
| ~ spl4_7 ),
inference(sat_conversion,[],[f161]) ).
cnf(s7,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_7
| ~ spl4_10 ),
inference(sat_conversion,[],[f179]) ).
cnf(s8,plain,
spl4_10,
inference(sat_conversion,[],[f182]) ).
cnf(s11,plain,
( spl4_3
| spl4_6
| ~ spl4_7
| spl4_15 ),
inference(sat_conversion,[],[f296]) ).
cnf(s12,plain,
( spl4_3
| ~ spl4_15 ),
inference(sat_conversion,[],[f298]) ).
cnf(s13,plain,
( ~ spl4_1
| ~ spl4_2
| spl4_7 ),
inference(rat,[],[s7,s8]) ).
cnf(s14,plain,
spl4_7,
inference(rat,[],[s13,s4,s3]) ).
cnf(s15,plain,
~ spl4_3,
inference(rat,[],[s1,s4,s3]) ).
cnf(s16,plain,
~ spl4_15,
inference(rat,[],[s12,s15]) ).
cnf(s17,plain,
spl4_6,
inference(rat,[],[s11,s16,s14,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s5,s14,s17,s15]) ).
fof(f299,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB016+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n006.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 07:00:10 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.16/0.48 % (3783977)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (3783988)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3250493240:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % (3783983)% WARNING: option uhcvi not known.
% 0.16/0.48 % (3783988) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3783977-3783988"...
% 0.16/0.48 % (3783988)...printing done.
% 0.16/0.48 % (3783988)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Theorem for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.48 % (3783988)------------------------------
% 0.16/0.48 % (3783988)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.48 % (3783988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.48 % (3783988)CaDiCaL version: 2.1.3
% 0.16/0.48 % (3783988)Termination reason: Refutation
% 0.16/0.48 % (3783988)Time elapsed: 0.004 s
% 0.16/0.48 % (3783988)Peak memory usage: 12 MB
% 0.16/0.48 % (3783988)Instructions burned: 8 (million)
% 0.16/0.48 % (3783977)Success in time 0.037 s
% 0.16/0.48 % Vampire exiting
%------------------------------------------------------------------------------