TSTP Solution File: SWB031+2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB031+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 : n026.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 0.14s 0.39s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 13
% Syntax : Number of formulae : 60 ( 19 unt; 0 def)
% Number of atoms : 236 ( 24 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 259 ( 83 ~; 86 |; 64 &)
% ( 20 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 122 ( 110 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f302,plain,
$false,
inference(subsumption_resolution,[],[f186,f177]) ).
fof(f177,plain,
! [X0,X1] : icext(X0,X1),
inference(superposition,[],[f63,f111]) ).
fof(f111,plain,
! [X0,X1] : X0 = X1,
inference(superposition,[],[f100,f100]) ).
fof(f100,plain,
! [X0] : uri_ex_w = X0,
inference(unit_resulting_resolution,[],[f74,f96,f53]) ).
fof(f53,plain,
! [X3,X0,X1] :
( ~ sP1(X0,X1)
| ~ icext(X1,X3)
| X0 = X3 ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( sK5(X0,X1) != X0
| ~ icext(X1,sK5(X0,X1)) )
& ( sK5(X0,X1) = X0
| icext(X1,sK5(X0,X1)) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| X0 != X3 )
& ( X0 = X3
| ~ icext(X1,X3) ) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f32,f33]) ).
fof(f33,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ icext(X1,X2) )
& ( X0 = X2
| icext(X1,X2) ) )
=> ( ( sK5(X0,X1) != X0
| ~ icext(X1,sK5(X0,X1)) )
& ( sK5(X0,X1) = X0
| icext(X1,sK5(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ? [X2] :
( ( X0 != X2
| ~ icext(X1,X2) )
& ( X0 = X2
| icext(X1,X2) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| X0 != X3 )
& ( X0 = X3
| ~ icext(X1,X3) ) )
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f31,plain,
! [X2,X0] :
( ( sP1(X2,X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X2 = X3
| icext(X0,X3) ) ) )
& ( ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X2 = X3
| ~ icext(X0,X3) ) )
| ~ sP1(X2,X0) ) ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,plain,
! [X2,X0] :
( sP1(X2,X0)
<=> ! [X3] :
( icext(X0,X3)
<=> X2 = X3 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f96,plain,
sP1(uri_ex_w,sK6),
inference(unit_resulting_resolution,[],[f92,f51]) ).
fof(f51,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ~ sP1(X1,X0)
| ~ ic(X0) )
& ( ( sP1(X1,X0)
& ic(X0) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X0,X2] :
( ( sP2(X0,X2)
| ~ sP1(X2,X0)
| ~ ic(X0) )
& ( ( sP1(X2,X0)
& ic(X0) )
| ~ sP2(X0,X2) ) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X2] :
( ( sP2(X0,X2)
| ~ sP1(X2,X0)
| ~ ic(X0) )
& ( ( sP1(X2,X0)
& ic(X0) )
| ~ sP2(X0,X2) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
! [X0,X2] :
( sP2(X0,X2)
<=> ( sP1(X2,X0)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f92,plain,
sP2(sK6,uri_ex_w),
inference(unit_resulting_resolution,[],[f59,f89,f48]) ).
fof(f48,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| ~ iext(uri_owl_oneOf,X1,X2)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f27]) ).
fof(f27,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X1,X2)
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ iext(uri_owl_oneOf,X1,X2) ) )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f26]) ).
fof(f26,plain,
! [X2,X0,X1] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ sP2(X0,X2) )
& ( sP2(X0,X2)
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ sP3(X2,X0,X1) ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
! [X2,X0,X1] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> sP2(X0,X2) )
| ~ sP3(X2,X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f89,plain,
! [X0] : sP3(uri_ex_w,X0,sK7),
inference(unit_resulting_resolution,[],[f60,f61,f57]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| sP3(X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
! [X0,X1,X2] :
( sP3(X2,X0,X1)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(definition_folding,[],[f13,f18,f17,f16]) ).
fof(f13,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,[],[f12]) ).
fof(f12,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,[],[f8]) ).
fof(f8,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,[],[f4]) ).
fof(f4,axiom,
! [X1,X2,X3] :
( ( iext(uri_rdf_rest,X2,uri_rdf_nil)
& iext(uri_rdf_first,X2,X3) )
=> ( iext(uri_owl_oneOf,X1,X2)
<=> ( ! [X0] :
( icext(X1,X0)
<=> X0 = X3 )
& ic(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f61,plain,
iext(uri_rdf_rest,sK7,uri_rdf_nil),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( iext(uri_rdf_rest,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,uri_ex_w)
& iext(uri_owl_oneOf,sK6,sK7)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK6) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f9,f35]) ).
fof(f35,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,sK7,uri_rdf_nil)
& iext(uri_rdf_first,sK7,uri_ex_w)
& iext(uri_owl_oneOf,sK6,sK7)
& iext(uri_owl_equivalentClass,uri_owl_Thing,sK6) ) ),
introduced(choice_axiom,[]) ).
fof(f9,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,[],[f6]) ).
fof(f6,axiom,
? [X6,X7] :
( iext(uri_rdf_rest,X7,uri_rdf_nil)
& iext(uri_rdf_first,X7,uri_ex_w)
& iext(uri_owl_oneOf,X6,X7)
& iext(uri_owl_equivalentClass,uri_owl_Thing,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
fof(f60,plain,
iext(uri_rdf_first,sK7,uri_ex_w),
inference(cnf_transformation,[],[f36]) ).
fof(f59,plain,
iext(uri_owl_oneOf,sK6,sK7),
inference(cnf_transformation,[],[f36]) ).
fof(f74,plain,
! [X0] : icext(sK6,X0),
inference(unit_resulting_resolution,[],[f63,f71,f40]) ).
fof(f40,plain,
! [X3,X0,X1] :
( ~ sP0(X0,X1)
| ~ icext(X1,X3)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ icext(X0,sK4(X0,X1))
| ~ icext(X1,sK4(X0,X1)) )
& ( icext(X0,sK4(X0,X1))
| icext(X1,sK4(X0,X1)) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| ~ icext(X0,X3) )
& ( icext(X0,X3)
| ~ icext(X1,X3) ) )
| ~ sP0(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f21,f22]) ).
fof(f22,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X0,X2)
| icext(X1,X2) ) )
=> ( ( ~ icext(X0,sK4(X0,X1))
| ~ icext(X1,sK4(X0,X1)) )
& ( icext(X0,sK4(X0,X1))
| icext(X1,sK4(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f21,plain,
! [X0,X1] :
( ( sP0(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) ) )
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f20]) ).
fof(f20,plain,
! [X1,X0] :
( ( sP0(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) ) )
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f14]) ).
fof(f14,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f71,plain,
sP0(sK6,uri_owl_Thing),
inference(unit_resulting_resolution,[],[f58,f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,X0,X1)
| sP0(X1,X0) ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ sP0(X1,X0)
| ~ ic(X1)
| ~ ic(X0) )
& ( ( sP0(X1,X0)
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f24]) ).
fof(f24,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ sP0(X1,X0)
| ~ ic(X1)
| ~ ic(X0) )
& ( ( sP0(X1,X0)
& ic(X1)
& ic(X0) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( sP0(X1,X0)
& ic(X1)
& ic(X0) ) ),
inference(definition_folding,[],[f7,f14]) ).
fof(f7,plain,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) )
& ic(X1)
& ic(X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X4,X5] :
( iext(uri_owl_equivalentClass,X4,X5)
<=> ( ! [X0] :
( icext(X4,X0)
<=> icext(X5,X0) )
& ic(X5)
& ic(X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f58,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK6),
inference(cnf_transformation,[],[f36]) ).
fof(f63,plain,
! [X0] : icext(uri_owl_Thing,X0),
inference(subsumption_resolution,[],[f39,f37]) ).
fof(f37,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ir(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).
fof(f39,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f11]) ).
fof(f11,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,plain,
! [X0] :
( ir(X0)
=> icext(uri_owl_Thing,X0) ),
inference(unused_predicate_definition_removal,[],[f2]) ).
fof(f2,axiom,
! [X0] :
( icext(uri_owl_Thing,X0)
<=> ir(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).
fof(f186,plain,
! [X0,X1] : ~ icext(X0,X1),
inference(superposition,[],[f38,f111]) ).
fof(f38,plain,
! [X0] : ~ icext(uri_owl_Nothing,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : ~ icext(uri_owl_Nothing,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_nothing_ext) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWB031+2 : TPTP v8.1.2. Released v5.2.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n026.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 18:37:38 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (2322)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (2327)WARNING: value z3 for option sas not known
% 0.14/0.38 % (2325)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (2326)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.38 % (2328)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.38 % (2327)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)
% 0.14/0.38 % (2329)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)
% 0.14/0.38 % (2330)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)
% 0.14/0.38 % (2331)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 % (2331)First to succeed.
% 0.14/0.39 % (2327)Also succeeded, but the first one will report.
% 0.14/0.39 % (2331)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2322"
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (2331)Refutation found. Thanks to Tanya!
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.39 % (2331)------------------------------
% 0.14/0.39 % (2331)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.14/0.39 % (2331)Termination reason: Refutation
% 0.14/0.39
% 0.14/0.39 % (2331)Memory used [KB]: 840
% 0.14/0.39 % (2331)Time elapsed: 0.008 s
% 0.14/0.39 % (2331)Instructions burned: 9 (million)
% 0.14/0.39 % (2322)Success in time 0.024 s
%------------------------------------------------------------------------------