TSTP Solution File: KRS263+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : KRS263+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n029.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 : Mon May 20 23:20:53 EDT 2024
% Result : Theorem 0.70s 0.87s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of formulae : 54 ( 14 unt; 0 def)
% Number of atoms : 155 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 171 ( 70 ~; 47 |; 37 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 136 ( 94 !; 42 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f136,plain,
$false,
inference(avatar_sat_refutation,[],[f114,f118,f135]) ).
fof(f135,plain,
~ spl22_1,
inference(avatar_contradiction_clause,[],[f134]) ).
fof(f134,plain,
( $false
| ~ spl22_1 ),
inference(resolution,[],[f120,f90]) ).
fof(f90,plain,
model(sK7,sK6),
inference(cnf_transformation,[],[f61]) ).
fof(f61,plain,
( model(sK7,sK6)
& ~ model(sK4,sK6)
& model(sK4,sK5) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7])],[f38,f60,f59]) ).
fof(f59,plain,
( ? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) )
=> ( ? [X3] : model(X3,sK6)
& ~ model(sK4,sK6)
& model(sK4,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f60,plain,
( ? [X3] : model(X3,sK6)
=> model(sK7,sK6) ),
introduced(choice_axiom,[]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ? [X3] : model(X3,X2)
& ~ model(X0,X2)
& model(X0,X1) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
? [X2,X0,X1] :
( ? [X3] : model(X3,X1)
& ~ model(X2,X1)
& model(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_thm_spt) ).
fof(f120,plain,
( ! [X0] : ~ model(X0,sK6)
| ~ spl22_1 ),
inference(resolution,[],[f110,f89]) ).
fof(f89,plain,
~ model(sK4,sK6),
inference(cnf_transformation,[],[f61]) ).
fof(f110,plain,
( ! [X2,X3,X1] :
( model(X1,X2)
| ~ model(X3,X2) )
| ~ spl22_1 ),
inference(avatar_component_clause,[],[f109]) ).
fof(f109,plain,
( spl22_1
<=> ! [X2,X1,X3] :
( model(X1,X2)
| ~ model(X3,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_1])]) ).
fof(f118,plain,
~ spl22_2,
inference(avatar_contradiction_clause,[],[f117]) ).
fof(f117,plain,
( $false
| ~ spl22_2 ),
inference(resolution,[],[f113,f102]) ).
fof(f102,plain,
! [X1] : model(X1,sK21),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X1] : model(X1,sK21),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f43,f77]) ).
fof(f77,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK21) ),
introduced(choice_axiom,[]) ).
fof(f43,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology) ).
fof(f113,plain,
( ! [X0] : ~ model(sK3(X0),X0)
| ~ spl22_2 ),
inference(avatar_component_clause,[],[f112]) ).
fof(f112,plain,
( spl22_2
<=> ! [X0] : ~ model(sK3(X0),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl22_2])]) ).
fof(f114,plain,
( spl22_1
| spl22_2 ),
inference(avatar_split_clause,[],[f107,f112,f109]) ).
fof(f107,plain,
! [X2,X3,X0,X1] :
( ~ model(sK3(X0),X0)
| model(X1,X2)
| ~ model(X3,X2) ),
inference(resolution,[],[f106,f84]) ).
fof(f84,plain,
! [X0,X1,X6,X7] :
( status(X0,X1,wtc)
| ~ model(sK3(X1),X1)
| model(X6,X0)
| ~ model(X7,X0) ),
inference(cnf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ~ model(sK1(X0),X0)
& model(sK2(X0),X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ~ model(sK3(X1),X1)
| ! [X6] : model(X6,X0)
| ! [X7] : ~ model(X7,X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f54,f57,f56,f55]) ).
fof(f55,plain,
! [X0] :
( ? [X3] : ~ model(X3,X0)
=> ~ model(sK1(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
! [X0] :
( ? [X4] : model(X4,X0)
=> model(sK2(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X1] :
( ? [X5] : ~ model(X5,X1)
=> ~ model(sK3(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X5] : ~ model(X5,X1)
| ! [X6] : model(X6,X0)
| ! [X7] : ~ model(X7,X0) ) ),
inference(rectify,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X2] : ~ model(X2,X1)
| ! [X3] : model(X3,X0)
| ! [X4] : ~ model(X4,X0) ) ),
inference(flattening,[],[f52]) ).
fof(f52,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
| ~ status(X0,X1,wtc) )
& ( status(X0,X1,wtc)
| ? [X2] : ~ model(X2,X1)
| ! [X3] : model(X3,X0)
| ! [X4] : ~ model(X4,X0) ) ),
inference(nnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ! [X2] : model(X2,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X4] : model(X4,X0) )
<=> status(X0,X1,wtc) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X0,X1] :
( ( ! [X4] : model(X4,X1)
& ? [X3] : ~ model(X3,X0)
& ? [X2] : model(X2,X0) )
<=> status(X0,X1,wtc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wtc) ).
fof(f106,plain,
! [X0,X1] : ~ status(X0,X1,wtc),
inference(subsumption_resolution,[],[f105,f87]) ).
fof(f87,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,wtc)
| model(X2,X1) ),
inference(cnf_transformation,[],[f58]) ).
fof(f105,plain,
! [X0,X1] :
( ~ status(X0,X1,wtc)
| ~ model(sK0(X0,X1),X1) ),
inference(resolution,[],[f103,f82]) ).
fof(f82,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ model(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK0(X0,X1),X1)
& model(sK0(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f49,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK0(X0,X1),X1)
& model(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f49,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) ) ) ),
inference(rectify,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f103,plain,
! [X0,X1] :
( ~ status(X0,X1,thm)
| ~ status(X0,X1,wtc) ),
inference(resolution,[],[f79,f80]) ).
fof(f80,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( ? [X0,X1] :
( status(X0,X1,X7)
& status(X0,X1,X6) )
<=> mighta(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta) ).
fof(f79,plain,
~ mighta(wtc,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(wtc,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(wtc,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(wtc,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wtc_thm) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS263+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.12/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.37 % Computer : n029.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sat May 18 22:31:38 EDT 2024
% 0.13/0.37 % CPUTime :
% 0.13/0.37 This is a FOF_THM_RFO_NEQ problem
% 0.13/0.37 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.70/0.87 % (16083)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.70/0.87 % (16081)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2995ds/34Mi)
% 0.70/0.87 % (16084)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.70/0.87 % (16085)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2995ds/34Mi)
% 0.70/0.87 % (16082)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2995ds/51Mi)
% 0.70/0.87 % (16086)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.70/0.87 % (16087)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2995ds/83Mi)
% 0.70/0.87 % (16088)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2995ds/56Mi)
% 0.70/0.87 % (16086)Refutation not found, incomplete strategy% (16086)------------------------------
% 0.70/0.87 % (16086)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (16086)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87
% 0.70/0.87 % (16086)Memory used [KB]: 1063
% 0.70/0.87 % (16086)Time elapsed: 0.003 s
% 0.70/0.87 % (16086)Instructions burned: 3 (million)
% 0.70/0.87 % (16084)Refutation not found, incomplete strategy% (16084)------------------------------
% 0.70/0.87 % (16084)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (16084)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87
% 0.70/0.87 % (16084)Memory used [KB]: 1073
% 0.70/0.87 % (16084)Time elapsed: 0.003 s
% 0.70/0.87 % (16084)Instructions burned: 2 (million)
% 0.70/0.87 % (16086)------------------------------
% 0.70/0.87 % (16086)------------------------------
% 0.70/0.87 % (16087)Refutation not found, incomplete strategy% (16087)------------------------------
% 0.70/0.87 % (16087)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (16087)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87
% 0.70/0.87 % (16087)Memory used [KB]: 1065
% 0.70/0.87 % (16087)Time elapsed: 0.003 s
% 0.70/0.87 % (16087)Instructions burned: 3 (million)
% 0.70/0.87 % (16084)------------------------------
% 0.70/0.87 % (16084)------------------------------
% 0.70/0.87 % (16087)------------------------------
% 0.70/0.87 % (16087)------------------------------
% 0.70/0.87 % (16081)Refutation not found, incomplete strategy% (16081)------------------------------
% 0.70/0.87 % (16081)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (16081)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87
% 0.70/0.87 % (16081)Memory used [KB]: 1077
% 0.70/0.87 % (16081)Time elapsed: 0.004 s
% 0.70/0.87 % (16081)Instructions burned: 3 (million)
% 0.70/0.87 % (16081)------------------------------
% 0.70/0.87 % (16081)------------------------------
% 0.70/0.87 % (16083)Also succeeded, but the first one will report.
% 0.70/0.87 % (16088)First to succeed.
% 0.70/0.87 % (16085)Refutation not found, incomplete strategy% (16085)------------------------------
% 0.70/0.87 % (16085)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (16085)Termination reason: Refutation not found, incomplete strategy
% 0.70/0.87
% 0.70/0.87 % (16085)Memory used [KB]: 1180
% 0.70/0.87 % (16085)Time elapsed: 0.004 s
% 0.70/0.87 % (16085)Instructions burned: 5 (million)
% 0.70/0.87 % (16085)------------------------------
% 0.70/0.87 % (16085)------------------------------
% 0.70/0.87 % (16088)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16080"
% 0.70/0.87 % (16088)Refutation found. Thanks to Tanya!
% 0.70/0.87 % SZS status Theorem for theBenchmark
% 0.70/0.87 % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.87 % (16088)------------------------------
% 0.70/0.87 % (16088)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.70/0.87 % (16088)Termination reason: Refutation
% 0.70/0.87
% 0.70/0.87 % (16088)Memory used [KB]: 1102
% 0.70/0.87 % (16088)Time elapsed: 0.004 s
% 0.70/0.87 % (16088)Instructions burned: 5 (million)
% 0.70/0.87 % (16080)Success in time 0.495 s
% 0.70/0.87 % Vampire---4.8 exiting
%------------------------------------------------------------------------------