TSTP Solution File: SWB031+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB031+1 : 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 : n017.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 09:47:01 EDT 2024
% Result : Unsatisfiable 30.72s 4.80s
% Output : Refutation 30.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 21
% Syntax : Number of formulae : 102 ( 32 unt; 0 def)
% Number of atoms : 375 ( 23 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 418 ( 145 ~; 139 |; 98 &)
% ( 29 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 19 ( 19 usr; 13 con; 0-2 aty)
% Number of variables : 195 ( 167 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f487671,plain,
$false,
inference(subsumption_resolution,[],[f487670,f487573]) ).
fof(f487573,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_w),
inference(forward_demodulation,[],[f480807,f480765]) ).
fof(f480765,plain,
! [X0] : uri_ex_w = X0,
inference(unit_resulting_resolution,[],[f85936,f480761,f3156]) ).
fof(f3156,plain,
! [X3,X0,X1] :
( ~ sP61(X0,X1)
| ~ icext(X1,X3)
| X0 = X3 ),
inference(cnf_transformation,[],[f1908]) ).
fof(f1908,plain,
! [X0,X1] :
( ( sP61(X0,X1)
| ( ( sK259(X0,X1) != X0
| ~ icext(X1,sK259(X0,X1)) )
& ( sK259(X0,X1) = X0
| icext(X1,sK259(X0,X1)) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| X0 != X3 )
& ( X0 = X3
| ~ icext(X1,X3) ) )
| ~ sP61(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK259])],[f1906,f1907]) ).
fof(f1907,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ icext(X1,X2) )
& ( X0 = X2
| icext(X1,X2) ) )
=> ( ( sK259(X0,X1) != X0
| ~ icext(X1,sK259(X0,X1)) )
& ( sK259(X0,X1) = X0
| icext(X1,sK259(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1906,plain,
! [X0,X1] :
( ( sP61(X0,X1)
| ? [X2] :
( ( X0 != X2
| ~ icext(X1,X2) )
& ( X0 = X2
| icext(X1,X2) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| X0 != X3 )
& ( X0 = X3
| ~ icext(X1,X3) ) )
| ~ sP61(X0,X1) ) ),
inference(rectify,[],[f1905]) ).
fof(f1905,plain,
! [X2,X0] :
( ( sP61(X2,X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) ) )
& ( ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X2 = X3
| ~ icext(X0,X3) ) )
| ~ sP61(X2,X0) ) ),
inference(nnf_transformation,[],[f1425]) ).
fof(f1425,plain,
! [X2,X0] :
( sP61(X2,X0)
<=> ! [X3] :
( icext(X0,X3)
<=> X2 = X3 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f480761,plain,
sP61(uri_ex_w,sK373),
inference(unit_resulting_resolution,[],[f480756,f3154]) ).
fof(f3154,plain,
! [X0,X1] :
( ~ sP62(X0,X1)
| sP61(X1,X0) ),
inference(cnf_transformation,[],[f1904]) ).
fof(f1904,plain,
! [X0,X1] :
( ( sP62(X0,X1)
| ~ sP61(X1,X0)
| ~ ic(X0) )
& ( ( sP61(X1,X0)
& ic(X0) )
| ~ sP62(X0,X1) ) ),
inference(rectify,[],[f1903]) ).
fof(f1903,plain,
! [X0,X2] :
( ( sP62(X0,X2)
| ~ sP61(X2,X0)
| ~ ic(X0) )
& ( ( sP61(X2,X0)
& ic(X0) )
| ~ sP62(X0,X2) ) ),
inference(flattening,[],[f1902]) ).
fof(f1902,plain,
! [X0,X2] :
( ( sP62(X0,X2)
| ~ sP61(X2,X0)
| ~ ic(X0) )
& ( ( sP61(X2,X0)
& ic(X0) )
| ~ sP62(X0,X2) ) ),
inference(nnf_transformation,[],[f1426]) ).
fof(f1426,plain,
! [X0,X2] :
( sP62(X0,X2)
<=> ( sP61(X2,X0)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f480756,plain,
sP62(sK373,uri_ex_w),
inference(unit_resulting_resolution,[],[f3748,f480745,f3151]) ).
fof(f3151,plain,
! [X2,X0,X1] :
( ~ sP63(X0,X1,X2)
| ~ iext(uri_owl_oneOf,X1,X2)
| sP62(X1,X0) ),
inference(cnf_transformation,[],[f1901]) ).
fof(f1901,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X1,X2)
| ~ sP62(X1,X0) )
& ( sP62(X1,X0)
| ~ iext(uri_owl_oneOf,X1,X2) ) )
| ~ sP63(X0,X1,X2) ),
inference(rectify,[],[f1900]) ).
fof(f1900,plain,
! [X2,X0,X1] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ sP62(X0,X2) )
& ( sP62(X0,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ sP63(X2,X0,X1) ),
inference(nnf_transformation,[],[f1427]) ).
fof(f1427,plain,
! [X2,X0,X1] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> sP62(X0,X2) )
| ~ sP63(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f480745,plain,
! [X0] : sP63(uri_ex_w,X0,sK374),
inference(unit_resulting_resolution,[],[f3749,f3750,f3160]) ).
fof(f3160,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| sP63(X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f1428]) ).
fof(f1428,plain,
! [X0,X1,X2] :
( sP63(X2,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(definition_folding,[],[f1202,f1427,f1426,f1425]) ).
fof(f1202,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X2 = X3 )
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(flattening,[],[f1201]) ).
fof(f1201,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X2 = X3 )
& ic(X0) ) )
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(ennf_transformation,[],[f850]) ).
fof(f850,plain,
! [X0,X1,X2] :
( ( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,X2) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ! [X3] :
( icext(X0,X3)
<=> X2 = X3 )
& ic(X0) ) ) ),
inference(rectify,[],[f295]) ).
fof(f295,axiom,
! [X10,X11,X20] :
( ( iext(uri_rdf_rest,X11,uri_rdf_nil)
& iext(uri_rdf_first,X11,X20) )
=> ( iext(uri_owl_oneOf,X10,X11)
<=> ( ! [X3] :
( icext(X10,X3)
<=> X3 = X20 )
& ic(X10) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f3750,plain,
iext(uri_rdf_rest,sK374,uri_rdf_nil),
inference(cnf_transformation,[],[f2286]) ).
fof(f2286,plain,
( iext(uri_rdf_rest,sK374,uri_rdf_nil)
& iext(uri_rdf_first,sK374,uri_ex_w)
& iext(uri_owl_oneOf,sK373,sK374)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK373) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK373,sK374])],[f918,f2285]) ).
fof(f2285,plain,
( ? [X0,X1] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_w)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X0) )
=> ( iext(uri_rdf_rest,sK374,uri_rdf_nil)
& iext(uri_rdf_first,sK374,uri_ex_w)
& iext(uri_owl_oneOf,sK373,sK374)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK373) ) ),
introduced(choice_axiom,[]) ).
fof(f918,plain,
? [X0,X1] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_w)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X0) ),
inference(rectify,[],[f559]) ).
fof(f559,axiom,
? [X41,X42] :
( iext(uri_rdf_rest,X42,uri_rdf_nil)
& iext(uri_rdf_first,X42,uri_ex_w)
& iext(uri_owl_oneOf,X41,X42)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
fof(f3749,plain,
iext(uri_rdf_first,sK374,uri_ex_w),
inference(cnf_transformation,[],[f2286]) ).
fof(f3748,plain,
iext(uri_owl_oneOf,sK373,sK374),
inference(cnf_transformation,[],[f2286]) ).
fof(f85936,plain,
! [X0] : icext(sK373,X0),
inference(unit_resulting_resolution,[],[f4069,f23775,f3029]) ).
fof(f3029,plain,
! [X3,X0,X1] :
( ~ sP36(X0,X1)
| ~ icext(X1,X3)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f1807]) ).
fof(f1807,plain,
! [X0,X1] :
( ( sP36(X0,X1)
| ( ( ~ icext(X0,sK239(X0,X1))
| ~ icext(X1,sK239(X0,X1)) )
& ( icext(X0,sK239(X0,X1))
| icext(X1,sK239(X0,X1)) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ sP36(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK239])],[f1805,f1806]) ).
fof(f1806,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X0,X2)
| icext(X1,X2) ) )
=> ( ( ~ icext(X0,sK239(X0,X1))
| ~ icext(X1,sK239(X0,X1)) )
& ( icext(X0,sK239(X0,X1))
| icext(X1,sK239(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f1805,plain,
! [X0,X1] :
( ( sP36(X0,X1)
| ? [X2] :
( ( ~ icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X0,X2)
| icext(X1,X2) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ sP36(X0,X1) ) ),
inference(rectify,[],[f1804]) ).
fof(f1804,plain,
! [X1,X0] :
( ( sP36(X1,X0)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ sP36(X1,X0) ) ),
inference(nnf_transformation,[],[f1386]) ).
fof(f1386,plain,
! [X1,X0] :
( sP36(X1,X0)
<=> ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f23775,plain,
sP36(sK373,uri_owl_Thing),
inference(unit_resulting_resolution,[],[f3747,f3035]) ).
fof(f3035,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| sP36(X1,X0) ),
inference(cnf_transformation,[],[f1809]) ).
fof(f1809,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ sP36(X1,X0)
| ~ ic(X1)
| ~ ic(X0) )
& ( ( sP36(X1,X0)
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f1808]) ).
fof(f1808,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ sP36(X1,X0)
| ~ ic(X1)
| ~ ic(X0) )
& ( ( sP36(X1,X0)
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f1387]) ).
fof(f1387,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( sP36(X1,X0)
& ic(X1)
& ic(X0) ) ),
inference(definition_folding,[],[f828,f1386]) ).
fof(f828,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f351]) ).
fof(f351,axiom,
! [X12,X14] :
( iext(uri_owl_equivalentClass,X12,X14)
<=> ( ! [X3] :
( icext(X12,X3)
<=> icext(X14,X3) )
& ic(X14)
& ic(X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f3747,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK373),
inference(cnf_transformation,[],[f2286]) ).
fof(f4069,plain,
! [X0] : icext(uri_owl_Thing,X0),
inference(subsumption_resolution,[],[f2627,f2486]) ).
fof(f2486,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[],[f560]) ).
fof(f560,plain,
! [X0] : ir(X0),
inference(rectify,[],[f2]) ).
fof(f2,axiom,
! [X3] : ir(X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).
fof(f2627,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f1605]) ).
fof(f1605,plain,
! [X0] :
( ( icext(uri_owl_Thing,X0)
| ~ ir(X0) )
& ( ir(X0)
| ~ icext(uri_owl_Thing,X0) ) ),
inference(nnf_transformation,[],[f675]) ).
fof(f675,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
<=> ir(X0) ),
inference(rectify,[],[f163]) ).
fof(f163,axiom,
! [X3] :
( icext(uri_owl_Thing,X3)
<=> ir(X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).
fof(f480807,plain,
iext(uri_rdf_type,uri_ex_w,sK177(uri_rdf_type)),
inference(superposition,[],[f117956,f480765]) ).
fof(f117956,plain,
iext(uri_rdf_type,sK176(uri_rdf_type),sK177(uri_rdf_type)),
inference(unit_resulting_resolution,[],[f116358,f7349,f2633]) ).
fof(f2633,plain,
! [X0] :
( ~ ip(X0)
| iext(X0,sK176(X0),sK177(X0))
| sP0(X0) ),
inference(cnf_transformation,[],[f1615]) ).
fof(f1615,plain,
! [X0] :
( ( sP0(X0)
| ( iext(X0,sK177(X0),sK176(X0))
& iext(X0,sK176(X0),sK177(X0)) )
| ~ ip(X0) )
& ( ( ! [X3,X4] :
( ~ iext(X0,X4,X3)
| ~ iext(X0,X3,X4) )
& ip(X0) )
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK176,sK177])],[f1613,f1614]) ).
fof(f1614,plain,
! [X0] :
( ? [X1,X2] :
( iext(X0,X2,X1)
& iext(X0,X1,X2) )
=> ( iext(X0,sK177(X0),sK176(X0))
& iext(X0,sK176(X0),sK177(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1613,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( iext(X0,X2,X1)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X3,X4] :
( ~ iext(X0,X4,X3)
| ~ iext(X0,X3,X4) )
& ip(X0) )
| ~ sP0(X0) ) ),
inference(rectify,[],[f1612]) ).
fof(f1612,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( iext(X0,X2,X1)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X1,X2] :
( ~ iext(X0,X2,X1)
| ~ iext(X0,X1,X2) )
& ip(X0) )
| ~ sP0(X0) ) ),
inference(flattening,[],[f1611]) ).
fof(f1611,plain,
! [X0] :
( ( sP0(X0)
| ? [X1,X2] :
( iext(X0,X2,X1)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X1,X2] :
( ~ iext(X0,X2,X1)
| ~ iext(X0,X1,X2) )
& ip(X0) )
| ~ sP0(X0) ) ),
inference(nnf_transformation,[],[f1327]) ).
fof(f1327,plain,
! [X0] :
( sP0(X0)
<=> ( ! [X1,X2] :
( ~ iext(X0,X2,X1)
| ~ iext(X0,X1,X2) )
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f7349,plain,
ip(uri_rdf_type),
inference(unit_resulting_resolution,[],[f2473,f2608]) ).
fof(f2608,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_rdf_Property)
| ip(X0) ),
inference(cnf_transformation,[],[f1592]) ).
fof(f1592,plain,
! [X0] :
( ( ip(X0)
| ~ iext(uri_rdf_type,X0,uri_rdf_Property) )
& ( iext(uri_rdf_type,X0,uri_rdf_Property)
| ~ ip(X0) ) ),
inference(nnf_transformation,[],[f666]) ).
fof(f666,plain,
! [X0] :
( ip(X0)
<=> iext(uri_rdf_type,X0,uri_rdf_Property) ),
inference(rectify,[],[f98]) ).
fof(f98,axiom,
! [X3] :
( ip(X3)
<=> iext(uri_rdf_type,X3,uri_rdf_Property) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ip_def) ).
fof(f2473,plain,
iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property),
inference(cnf_transformation,[],[f14]) ).
fof(f14,axiom,
iext(uri_rdf_type,uri_rdf_type,uri_rdf_Property),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdf_type_type) ).
fof(f116358,plain,
~ sP0(uri_rdf_type),
inference(unit_resulting_resolution,[],[f4068,f88108,f2632]) ).
fof(f2632,plain,
! [X3,X0,X4] :
( ~ iext(X0,X4,X3)
| ~ iext(X0,X3,X4)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f1615]) ).
fof(f88108,plain,
! [X0] : iext(uri_rdf_type,X0,sK373),
inference(unit_resulting_resolution,[],[f85936,f3066]) ).
fof(f3066,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f1834]) ).
fof(f1834,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f833]) ).
fof(f833,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X3,X4] :
( iext(uri_rdf_type,X3,X4)
<=> icext(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f4068,plain,
! [X0] : iext(uri_rdf_type,X0,uri_rdfs_Resource),
inference(subsumption_resolution,[],[f2605,f2486]) ).
fof(f2605,plain,
! [X0] :
( iext(uri_rdf_type,X0,uri_rdfs_Resource)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f1591]) ).
fof(f1591,plain,
! [X0] :
( ( ir(X0)
| ~ iext(uri_rdf_type,X0,uri_rdfs_Resource) )
& ( iext(uri_rdf_type,X0,uri_rdfs_Resource)
| ~ ir(X0) ) ),
inference(nnf_transformation,[],[f665]) ).
fof(f665,plain,
! [X0] :
( ir(X0)
<=> iext(uri_rdf_type,X0,uri_rdfs_Resource) ),
inference(rectify,[],[f100]) ).
fof(f100,axiom,
! [X3] :
( ir(X3)
<=> iext(uri_rdf_type,X3,uri_rdfs_Resource) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_parts_ir_def) ).
fof(f487670,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_w),
inference(forward_demodulation,[],[f481334,f480765]) ).
fof(f481334,plain,
~ iext(uri_rdf_type,sK179(uri_rdf_type),uri_ex_w),
inference(superposition,[],[f120174,f480765]) ).
fof(f120174,plain,
~ iext(uri_rdf_type,sK179(uri_rdf_type),sK178(uri_rdf_type)),
inference(unit_resulting_resolution,[],[f7349,f118430,f2640]) ).
fof(f2640,plain,
! [X0] :
( ~ iext(X0,sK179(X0),sK178(X0))
| sP1(X0)
| ~ ip(X0) ),
inference(cnf_transformation,[],[f1621]) ).
fof(f1621,plain,
! [X0] :
( ( sP1(X0)
| ( ~ iext(X0,sK179(X0),sK178(X0))
& iext(X0,sK178(X0),sK179(X0)) )
| ~ ip(X0) )
& ( ( ! [X3,X4] :
( iext(X0,X4,X3)
| ~ iext(X0,X3,X4) )
& ip(X0) )
| ~ sP1(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK178,sK179])],[f1619,f1620]) ).
fof(f1620,plain,
! [X0] :
( ? [X1,X2] :
( ~ iext(X0,X2,X1)
& iext(X0,X1,X2) )
=> ( ~ iext(X0,sK179(X0),sK178(X0))
& iext(X0,sK178(X0),sK179(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f1619,plain,
! [X0] :
( ( sP1(X0)
| ? [X1,X2] :
( ~ iext(X0,X2,X1)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X3,X4] :
( iext(X0,X4,X3)
| ~ iext(X0,X3,X4) )
& ip(X0) )
| ~ sP1(X0) ) ),
inference(rectify,[],[f1618]) ).
fof(f1618,plain,
! [X0] :
( ( sP1(X0)
| ? [X1,X2] :
( ~ iext(X0,X2,X1)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X1,X2] :
( iext(X0,X2,X1)
| ~ iext(X0,X1,X2) )
& ip(X0) )
| ~ sP1(X0) ) ),
inference(flattening,[],[f1617]) ).
fof(f1617,plain,
! [X0] :
( ( sP1(X0)
| ? [X1,X2] :
( ~ iext(X0,X2,X1)
& iext(X0,X1,X2) )
| ~ ip(X0) )
& ( ( ! [X1,X2] :
( iext(X0,X2,X1)
| ~ iext(X0,X1,X2) )
& ip(X0) )
| ~ sP1(X0) ) ),
inference(nnf_transformation,[],[f1329]) ).
fof(f1329,plain,
! [X0] :
( sP1(X0)
<=> ( ! [X1,X2] :
( iext(X0,X2,X1)
| ~ iext(X0,X1,X2) )
& ip(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f118430,plain,
~ sP1(uri_rdf_type),
inference(unit_resulting_resolution,[],[f26578,f88108,f2638]) ).
fof(f2638,plain,
! [X3,X0,X4] :
( ~ iext(X0,X3,X4)
| iext(X0,X4,X3)
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f1621]) ).
fof(f26578,plain,
! [X0] : ~ iext(uri_rdf_type,X0,uri_owl_Nothing),
inference(unit_resulting_resolution,[],[f2487,f3065]) ).
fof(f3065,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f1834]) ).
fof(f2487,plain,
! [X0] : ~ icext(uri_owl_Nothing,X0),
inference(cnf_transformation,[],[f561]) ).
fof(f561,plain,
! [X0] : ~ icext(uri_owl_Nothing,X0),
inference(rectify,[],[f145]) ).
fof(f145,axiom,
! [X3] : ~ icext(uri_owl_Nothing,X3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWB031+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n017.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 18:40:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (6535)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (6549)WARNING: value z3 for option sas not known
% 0.14/0.39 % (6547)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.39 % (6549)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 % (6550)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (6548)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 % (6552)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39 % (6553)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 % (6551)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.56 TRYING [1]
% 0.21/0.57 TRYING [2]
% 2.40/0.76 TRYING [3]
% 4.53/1.04 TRYING [1]
% 5.10/1.10 TRYING [2]
% 6.72/1.32 TRYING [4]
% 8.21/1.59 TRYING [1]
% 8.21/1.61 TRYING [2]
% 10.20/1.82 TRYING [3]
% 12.33/2.18 TRYING [3]
% 15.04/2.50 TRYING [4]
% 20.68/3.34 TRYING [5]
% 30.72/4.78 % (6553)First to succeed.
% 30.72/4.79 % (6553)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-6535"
% 30.72/4.80 % (6553)Refutation found. Thanks to Tanya!
% 30.72/4.80 % SZS status Unsatisfiable for theBenchmark
% 30.72/4.80 % SZS output start Proof for theBenchmark
% See solution above
% 30.72/4.80 % (6553)------------------------------
% 30.72/4.80 % (6553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 30.72/4.80 % (6553)Termination reason: Refutation
% 30.72/4.80
% 30.72/4.80 % (6553)Memory used [KB]: 72983
% 30.72/4.80 % (6553)Time elapsed: 4.396 s
% 30.72/4.80 % (6553)Instructions burned: 16624 (million)
% 30.72/4.80 % (6535)Success in time 4.378 s
%------------------------------------------------------------------------------