TSTP Solution File: SWB016+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB016+2 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun May 5 09:46:39 EDT 2024
% Result : Theorem 0.12s 0.38s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 19
% Syntax : Number of formulae : 99 ( 15 unt; 0 def)
% Number of atoms : 383 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 440 ( 156 ~; 161 |; 90 &)
% ( 22 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 176 ( 160 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1544,plain,
$false,
inference(avatar_sat_refutation,[],[f123,f138,f1543]) ).
fof(f1543,plain,
( spl7_3
| ~ spl7_4 ),
inference(avatar_contradiction_clause,[],[f1542]) ).
fof(f1542,plain,
( $false
| spl7_3
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f1541,f52]) ).
fof(f52,plain,
ip(uri_owl_equivalentClass),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
ip(uri_owl_equivalentClass),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_type) ).
fof(f1541,plain,
( ~ ip(uri_owl_equivalentClass)
| spl7_3
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f1540,f95]) ).
fof(f95,plain,
ip(uri_rdfs_subClassOf),
inference(resolution,[],[f92,f55]) ).
fof(f55,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ip(X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,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(f1,axiom,
! [X0] :
( iext(uri_rdf_type,X0,uri_rdf_Property)
<=> ip(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdf_type_ip) ).
fof(f92,plain,
iext(uri_rdf_type,uri_rdfs_subClassOf,uri_rdf_Property),
inference(resolution,[],[f90,f60]) ).
fof(f60,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X1,X2] :
( iext(uri_rdf_type,X1,X2)
<=> icext(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f90,plain,
icext(uri_rdf_Property,uri_rdfs_subClassOf),
inference(resolution,[],[f89,f53]) ).
fof(f53,plain,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
iext(uri_rdfs_domain,uri_rdfs_subClassOf,uri_rdfs_Class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_domain) ).
fof(f89,plain,
! [X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| icext(uri_rdf_Property,X0) ),
inference(resolution,[],[f83,f54]) ).
fof(f54,plain,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
iext(uri_rdfs_domain,uri_rdfs_domain,uri_rdf_Property),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_domain) ).
fof(f83,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_domain,X0,X1)
| ~ iext(X0,X2,X3)
| icext(X1,X2) ),
inference(cnf_transformation,[],[f24]) ).
fof(f24,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(flattening,[],[f23]) ).
fof(f23,plain,
! [X0,X1,X2,X3] :
( icext(X1,X2)
| ~ iext(X0,X2,X3)
| ~ iext(uri_rdfs_domain,X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2,X3] :
( ( iext(X0,X2,X3)
& iext(uri_rdfs_domain,X0,X1) )
=> icext(X1,X2) ),
inference(rectify,[],[f3]) ).
fof(f3,axiom,
! [X0,X2,X1,X3] :
( ( iext(X0,X1,X3)
& iext(uri_rdfs_domain,X0,X2) )
=> icext(X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_domain_main) ).
fof(f1540,plain,
( ~ ip(uri_rdfs_subClassOf)
| ~ ip(uri_owl_equivalentClass)
| spl7_3
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f1539,f117]) ).
fof(f117,plain,
( ~ sP0(uri_rdfs_subClassOf,uri_owl_equivalentClass)
| spl7_3 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f116,plain,
( spl7_3
<=> sP0(uri_rdfs_subClassOf,uri_owl_equivalentClass) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_3])]) ).
fof(f1539,plain,
( sP0(uri_rdfs_subClassOf,uri_owl_equivalentClass)
| ~ ip(uri_rdfs_subClassOf)
| ~ ip(uri_owl_equivalentClass)
| ~ spl7_4 ),
inference(resolution,[],[f1503,f65]) ).
fof(f65,plain,
! [X0,X1] :
( ~ iext(X0,sK3(X0,X1),sK4(X0,X1))
| sP0(X0,X1)
| ~ ip(X0)
| ~ ip(X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ~ iext(X0,sK3(X0,X1),sK4(X0,X1))
& iext(X1,sK3(X0,X1),sK4(X0,X1)) )
| ~ ip(X0)
| ~ ip(X1) )
& ( ( ! [X4,X5] :
( iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ip(X0)
& ip(X1) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f35,f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ iext(X0,X2,X3)
& iext(X1,X2,X3) )
=> ( ~ iext(X0,sK3(X0,X1),sK4(X0,X1))
& iext(X1,sK3(X0,X1),sK4(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f35,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ? [X2,X3] :
( ~ iext(X0,X2,X3)
& iext(X1,X2,X3) )
| ~ ip(X0)
| ~ ip(X1) )
& ( ( ! [X4,X5] :
( iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ip(X0)
& ip(X1) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ? [X2,X3] :
( ~ iext(X1,X2,X3)
& iext(X0,X2,X3) )
| ~ ip(X1)
| ~ ip(X0) )
& ( ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1503,plain,
( iext(uri_rdfs_subClassOf,sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ spl7_4 ),
inference(resolution,[],[f1477,f74]) ).
fof(f74,plain,
! [X0,X1] :
( ~ sP1(X1,X0)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> sP1(X1,X0) ),
inference(definition_folding,[],[f22,f27]) ).
fof(f27,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f22,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) ) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X4,X5] :
( iext(uri_rdfs_subClassOf,X4,X5)
<=> ( ! [X1] :
( icext(X4,X1)
=> icext(X5,X1) )
& ic(X5)
& ic(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f1477,plain,
( sP1(sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ spl7_4 ),
inference(subsumption_resolution,[],[f1476,f170]) ).
fof(f170,plain,
( ic(sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ spl7_4 ),
inference(resolution,[],[f122,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ic(X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X1] :
( ( ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
=> ( ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
! [X1,X3] :
( iext(uri_owl_equivalentClass,X1,X3)
=> ( ic(X3)
& ic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_equivalentclass_ext) ).
fof(f122,plain,
( iext(uri_owl_equivalentClass,sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ spl7_4 ),
inference(avatar_component_clause,[],[f120]) ).
fof(f120,plain,
( spl7_4
<=> iext(uri_owl_equivalentClass,sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass)) ),
introduced(avatar_definition,[new_symbols(naming,[spl7_4])]) ).
fof(f1476,plain,
( sP1(sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ ic(sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ spl7_4 ),
inference(duplicate_literal_removal,[],[f1474]) ).
fof(f1474,plain,
( sP1(sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ ic(sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ ic(sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| sP1(sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ spl7_4 ),
inference(resolution,[],[f773,f178]) ).
fof(f178,plain,
( ! [X0] :
( ~ icext(X0,sK5(X0,sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass)))
| ~ ic(X0)
| sP1(X0,sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass)) )
| ~ spl7_4 ),
inference(resolution,[],[f171,f72]) ).
fof(f72,plain,
! [X0,X1] :
( ~ ic(X1)
| ~ icext(X0,sK5(X0,X1))
| ~ ic(X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ~ icext(X0,sK5(X0,X1))
& icext(X1,sK5(X0,X1)) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X0)
& ic(X1) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f41,f42]) ).
fof(f42,plain,
! [X0,X1] :
( ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) )
=> ( ~ icext(X0,sK5(X0,X1))
& icext(X1,sK5(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ~ icext(X0,X2)
& icext(X1,X2) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( icext(X0,X3)
| ~ icext(X1,X3) )
& ic(X0)
& ic(X1) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f40]) ).
fof(f40,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f39]) ).
fof(f39,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) )
& ic(X1)
& ic(X0) )
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f27]) ).
fof(f171,plain,
( ic(sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ spl7_4 ),
inference(resolution,[],[f122,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f773,plain,
( ! [X0] :
( icext(sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK5(X0,sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass)))
| sP1(X0,sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ ic(X0) )
| ~ spl7_4 ),
inference(resolution,[],[f179,f181]) ).
fof(f181,plain,
( ! [X0] :
( ~ icext(sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass),X0)
| icext(sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass),X0) )
| ~ spl7_4 ),
inference(resolution,[],[f169,f77]) ).
fof(f77,plain,
! [X3,X0,X1] :
( ~ sP2(X0,X1)
| ~ icext(X1,X3)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ icext(X0,sK6(X0,X1))
| ~ icext(X1,sK6(X0,X1)) )
& ( icext(X0,sK6(X0,X1))
| icext(X1,sK6(X0,X1)) ) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( ( icext(X1,X3)
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| ~ icext(X1,X3) ) )
& ic(X0)
& ic(X1) )
| ~ sP2(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f47,f48]) ).
fof(f48,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X0,X2)
| icext(X1,X2) ) )
=> ( ( ~ icext(X0,sK6(X0,X1))
| ~ icext(X1,sK6(X0,X1)) )
& ( icext(X0,sK6(X0,X1))
| icext(X1,sK6(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f47,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ? [X2] :
( ( ~ icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X0,X2)
| icext(X1,X2) ) )
| ~ ic(X0)
| ~ ic(X1) )
& ( ( ! [X3] :
( ( icext(X1,X3)
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| ~ icext(X1,X3) ) )
& ic(X0)
& ic(X1) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
& ic(X1)
& ic(X0) )
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f45]) ).
fof(f45,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) )
| ~ ic(X1)
| ~ ic(X0) )
& ( ( ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
& ic(X1)
& ic(X0) )
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f169,plain,
( sP2(sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| ~ spl7_4 ),
inference(resolution,[],[f122,f81]) ).
fof(f81,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> sP2(X1,X0) ),
inference(definition_folding,[],[f18,f29]) ).
fof(f18,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X4,X5] :
( iext(uri_owl_equivalentClass,X4,X5)
<=> ( ! [X1] :
( icext(X4,X1)
<=> icext(X5,X1) )
& ic(X5)
& ic(X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f179,plain,
( ! [X0] :
( icext(sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK5(X0,sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass)))
| ~ ic(X0)
| sP1(X0,sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass)) )
| ~ spl7_4 ),
inference(resolution,[],[f171,f71]) ).
fof(f71,plain,
! [X0,X1] :
( ~ ic(X1)
| icext(X1,sK5(X0,X1))
| ~ ic(X0)
| sP1(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f138,plain,
~ spl7_3,
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f137,plain,
( $false
| ~ spl7_3 ),
inference(subsumption_resolution,[],[f134,f51]) ).
fof(f51,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(cnf_transformation,[],[f13]) ).
fof(f13,plain,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(flattening,[],[f12]) ).
fof(f12,negated_conjecture,
~ iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf),
inference(negated_conjecture,[],[f11]) ).
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(f134,plain,
( iext(uri_rdfs_subPropertyOf,uri_owl_equivalentClass,uri_rdfs_subClassOf)
| ~ spl7_3 ),
inference(resolution,[],[f118,f67]) ).
fof(f67,plain,
! [X0,X1] :
( ~ sP0(X1,X0)
| iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ) ),
inference(nnf_transformation,[],[f26]) ).
fof(f26,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> sP0(X1,X0) ),
inference(definition_folding,[],[f21,f25]) ).
fof(f21,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
<=> ( ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) )
& ip(X1)
& ip(X0) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X6,X7] :
( iext(uri_rdfs_subPropertyOf,X6,X7)
<=> ( ! [X1,X3] :
( iext(X6,X1,X3)
=> iext(X7,X1,X3) )
& ip(X7)
& ip(X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subpropertyof) ).
fof(f118,plain,
( sP0(uri_rdfs_subClassOf,uri_owl_equivalentClass)
| ~ spl7_3 ),
inference(avatar_component_clause,[],[f116]) ).
fof(f123,plain,
( spl7_3
| spl7_4 ),
inference(avatar_split_clause,[],[f104,f120,f116]) ).
fof(f104,plain,
( iext(uri_owl_equivalentClass,sK3(uri_rdfs_subClassOf,uri_owl_equivalentClass),sK4(uri_rdfs_subClassOf,uri_owl_equivalentClass))
| sP0(uri_rdfs_subClassOf,uri_owl_equivalentClass) ),
inference(resolution,[],[f93,f95]) ).
fof(f93,plain,
! [X0] :
( ~ ip(X0)
| iext(uri_owl_equivalentClass,sK3(X0,uri_owl_equivalentClass),sK4(X0,uri_owl_equivalentClass))
| sP0(X0,uri_owl_equivalentClass) ),
inference(resolution,[],[f64,f52]) ).
fof(f64,plain,
! [X0,X1] :
( ~ ip(X1)
| iext(X1,sK3(X0,X1),sK4(X0,X1))
| ~ ip(X0)
| sP0(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SWB016+2 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri May 3 18:39:37 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % (30539)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.36 % (30543)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.36 % (30541)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.36 % (30540)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36 % (30546)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.36 % (30544)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [1]
% 0.12/0.36 % (30545)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.36 TRYING [1]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 % (30542)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [2]
% 0.12/0.36 TRYING [3]
% 0.12/0.36 TRYING [3]
% 0.12/0.37 TRYING [3]
% 0.12/0.37 TRYING [3]
% 0.12/0.37 TRYING [4]
% 0.12/0.37 TRYING [4]
% 0.12/0.37 TRYING [4]
% 0.12/0.38 TRYING [4]
% 0.12/0.38 % (30545)First to succeed.
% 0.12/0.38 % (30545)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30539"
% 0.12/0.38 % (30545)Refutation found. Thanks to Tanya!
% 0.12/0.38 % SZS status Theorem for theBenchmark
% 0.12/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.12/0.39 % (30545)------------------------------
% 0.12/0.39 % (30545)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.12/0.39 % (30545)Termination reason: Refutation
% 0.12/0.39
% 0.12/0.39 % (30545)Memory used [KB]: 1145
% 0.12/0.39 % (30545)Time elapsed: 0.021 s
% 0.12/0.39 % (30545)Instructions burned: 37 (million)
% 0.12/0.39 % (30539)Success in time 0.038 s
%------------------------------------------------------------------------------