TSTP Solution File: SWB023+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWB023+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 : n011.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 09:46:55 EDT 2024
% Result : Theorem 0.11s 0.34s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 59 ( 20 unt; 0 def)
% Number of atoms : 201 ( 31 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 208 ( 66 ~; 63 |; 60 &)
% ( 15 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-2 aty)
% Number of variables : 92 ( 83 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f175,plain,
$false,
inference(subsumption_resolution,[],[f174,f71]) ).
fof(f71,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f9,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X0,X8] :
( iext(uri_owl_sameAs,X0,X8)
<=> X0 = X8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f174,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w),
inference(forward_demodulation,[],[f173,f112]) ).
fof(f112,plain,
uri_ex_w = uri_ex_u,
inference(unit_resulting_resolution,[],[f77,f108,f59]) ).
fof(f59,plain,
! [X3,X0,X1] :
( ~ sP1(X0,X1)
| ~ icext(X1,X3)
| X0 = X3 ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( sK7(X0,X1) != X0
| ~ icext(X1,sK7(X0,X1)) )
& ( sK7(X0,X1) = X0
| icext(X1,sK7(X0,X1)) ) ) )
& ( ! [X3] :
( ( icext(X1,X3)
| X0 != X3 )
& ( X0 = X3
| ~ icext(X1,X3) ) )
| ~ sP1(X0,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7])],[f37,f38]) ).
fof(f38,plain,
! [X0,X1] :
( ? [X2] :
( ( X0 != X2
| ~ icext(X1,X2) )
& ( X0 = X2
| icext(X1,X2) ) )
=> ( ( sK7(X0,X1) != X0
| ~ icext(X1,sK7(X0,X1)) )
& ( sK7(X0,X1) = X0
| icext(X1,sK7(X0,X1)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f37,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,[],[f36]) ).
fof(f36,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,[],[f19]) ).
fof(f19,plain,
! [X2,X0] :
( sP1(X2,X0)
<=> ! [X3] :
( icext(X0,X3)
<=> X2 = X3 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f108,plain,
sP1(uri_ex_u,sK8),
inference(unit_resulting_resolution,[],[f104,f57]) ).
fof(f57,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| sP1(X1,X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ~ sP1(X1,X0)
| ~ ic(X0) )
& ( ( sP1(X1,X0)
& ic(X0) )
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f34,plain,
! [X0,X2] :
( ( sP2(X0,X2)
| ~ sP1(X2,X0)
| ~ ic(X0) )
& ( ( sP1(X2,X0)
& ic(X0) )
| ~ sP2(X0,X2) ) ),
inference(flattening,[],[f33]) ).
fof(f33,plain,
! [X0,X2] :
( ( sP2(X0,X2)
| ~ sP1(X2,X0)
| ~ ic(X0) )
& ( ( sP1(X2,X0)
& ic(X0) )
| ~ sP2(X0,X2) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0,X2] :
( sP2(X0,X2)
<=> ( sP1(X2,X0)
& ic(X0) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f104,plain,
sP2(sK8,uri_ex_u),
inference(unit_resulting_resolution,[],[f67,f101,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ sP3(X0,X1,X2)
| ~ iext(uri_owl_oneOf,X1,X2)
| sP2(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,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,[],[f31]) ).
fof(f31,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,[],[f21]) ).
fof(f21,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(f101,plain,
! [X0] : sP3(uri_ex_u,X0,sK9),
inference(unit_resulting_resolution,[],[f68,f70,f63]) ).
fof(f63,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,[],[f22]) ).
fof(f22,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,[],[f16,f21,f20,f19]) ).
fof(f16,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,[],[f15]) ).
fof(f15,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,[],[f10]) ).
fof(f10,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,[],[f2]) ).
fof(f2,axiom,
! [X2,X3,X4] :
( ( iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_rdf_first,X3,X4) )
=> ( iext(uri_owl_oneOf,X2,X3)
<=> ( ! [X0] :
( icext(X2,X0)
<=> X0 = X4 )
& ic(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f70,plain,
iext(uri_rdf_rest,sK9,uri_rdf_nil),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_ex_v)
& iext(uri_rdf_first,sK9,uri_ex_u)
& iext(uri_owl_oneOf,sK8,sK9)
& iext(uri_rdf_type,sK8,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sK8)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9])],[f11,f40]) ).
fof(f40,plain,
( ? [X0,X1] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_v)
& iext(uri_rdf_first,X1,uri_ex_u)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_rdf_type,X0,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X0)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) )
=> ( iext(uri_rdf_rest,sK9,uri_rdf_nil)
& iext(uri_rdf_first,sK9,uri_ex_v)
& iext(uri_rdf_first,sK9,uri_ex_u)
& iext(uri_owl_oneOf,sK8,sK9)
& iext(uri_rdf_type,sK8,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sK8)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ) ),
introduced(choice_axiom,[]) ).
fof(f11,plain,
? [X0,X1] :
( iext(uri_rdf_rest,X1,uri_rdf_nil)
& iext(uri_rdf_first,X1,uri_ex_v)
& iext(uri_rdf_first,X1,uri_ex_u)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_rdf_type,X0,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X0)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
inference(rectify,[],[f7]) ).
fof(f7,axiom,
? [X9,X10] :
( iext(uri_rdf_rest,X10,uri_rdf_nil)
& iext(uri_rdf_first,X10,uri_ex_v)
& iext(uri_rdf_first,X10,uri_ex_u)
& iext(uri_owl_oneOf,X9,X10)
& iext(uri_rdf_type,X9,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X9)
& iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
fof(f68,plain,
iext(uri_rdf_first,sK9,uri_ex_u),
inference(cnf_transformation,[],[f41]) ).
fof(f67,plain,
iext(uri_owl_oneOf,sK8,sK9),
inference(cnf_transformation,[],[f41]) ).
fof(f77,plain,
icext(sK8,uri_ex_w),
inference(unit_resulting_resolution,[],[f65,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f65,plain,
iext(uri_rdf_type,uri_ex_w,sK8),
inference(cnf_transformation,[],[f41]) ).
fof(f173,plain,
~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u),
inference(subsumption_resolution,[],[f167,f71]) ).
fof(f167,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(superposition,[],[f42,f156]) ).
fof(f156,plain,
uri_ex_w = uri_ex_v,
inference(forward_demodulation,[],[f150,f112]) ).
fof(f150,plain,
uri_ex_u = uri_ex_v,
inference(unit_resulting_resolution,[],[f114,f145,f59]) ).
fof(f145,plain,
sP1(uri_ex_v,sK8),
inference(unit_resulting_resolution,[],[f141,f57]) ).
fof(f141,plain,
sP2(sK8,uri_ex_v),
inference(unit_resulting_resolution,[],[f67,f102,f54]) ).
fof(f102,plain,
! [X0] : sP3(uri_ex_v,X0,sK9),
inference(unit_resulting_resolution,[],[f69,f70,f63]) ).
fof(f69,plain,
iext(uri_rdf_first,sK9,uri_ex_v),
inference(cnf_transformation,[],[f41]) ).
fof(f114,plain,
icext(sK8,uri_ex_u),
inference(unit_resulting_resolution,[],[f108,f72]) ).
fof(f72,plain,
! [X3,X1] :
( ~ sP1(X3,X1)
| icext(X1,X3) ),
inference(equality_resolution,[],[f60]) ).
fof(f60,plain,
! [X3,X0,X1] :
( icext(X1,X3)
| X0 != X3
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f42,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(cnf_transformation,[],[f12]) ).
fof(f12,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
inference(negated_conjecture,[],[f5]) ).
fof(f5,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SWB023+2 : TPTP v8.1.2. Released v5.2.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32 % Computer : n011.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri May 3 18:39:38 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (11300)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33 % (11303)WARNING: value z3 for option sas not known
% 0.11/0.34 % (11302)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34 % (11304)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34 % (11303)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)
% 0.11/0.34 % (11301)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34 % (11305)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)
% 0.11/0.34 % (11307)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)
% 0.11/0.34 % (11306)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)
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 % (11307)First to succeed.
% 0.11/0.34 % (11303)Also succeeded, but the first one will report.
% 0.11/0.34 % (11307)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11300"
% 0.11/0.34 TRYING [3]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [1]
% 0.11/0.34 TRYING [2]
% 0.11/0.34 % (11305)Also succeeded, but the first one will report.
% 0.11/0.34 % (11307)Refutation found. Thanks to Tanya!
% 0.11/0.34 % SZS status Theorem for theBenchmark
% 0.11/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34 % (11307)------------------------------
% 0.11/0.34 % (11307)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.11/0.34 % (11307)Termination reason: Refutation
% 0.11/0.34
% 0.11/0.34 % (11307)Memory used [KB]: 839
% 0.11/0.34 % (11307)Time elapsed: 0.006 s
% 0.11/0.34 % (11307)Instructions burned: 8 (million)
% 0.11/0.34 % (11300)Success in time 0.02 s
%------------------------------------------------------------------------------