TSTP Solution File: KRS268+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS268+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 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 : Mon May 20 23:22:51 EDT 2024
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 12 unt; 0 def)
% Number of atoms : 142 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 154 ( 59 ~; 44 |; 34 &)
% ( 7 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 129 ( 84 !; 45 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6020,plain,
$false,
inference(resolution,[],[f5953,f326]) ).
fof(f326,plain,
~ model(sK49,sK48),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
( ~ model(sK49,sK48)
& model(sK50,sK48) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49,sK50])],[f54,f214,f213,f212]) ).
fof(f212,plain,
( ? [X0] :
( ? [X1] : ~ model(X1,X0)
& ? [X2] : model(X2,X0) )
=> ( ? [X1] : ~ model(X1,sK48)
& ? [X2] : model(X2,sK48) ) ),
introduced(choice_axiom,[]) ).
fof(f213,plain,
( ? [X1] : ~ model(X1,sK48)
=> ~ model(sK49,sK48) ),
introduced(choice_axiom,[]) ).
fof(f214,plain,
( ? [X2] : model(X2,sK48)
=> model(sK50,sK48) ),
introduced(choice_axiom,[]) ).
fof(f54,plain,
? [X0] :
( ? [X1] : ~ model(X1,X0)
& ? [X2] : model(X2,X0) ),
inference(rectify,[],[f28]) ).
fof(f28,axiom,
? [X9] :
( ? [X3] : ~ model(X3,X9)
& ? [X2] : model(X2,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satisfiable) ).
fof(f5953,plain,
! [X0] : model(X0,sK48),
inference(subsumption_resolution,[],[f5852,f327]) ).
fof(f327,plain,
! [X1] : ~ model(X1,sK51),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X1] : ~ model(X1,sK51),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f55,f216]) ).
fof(f216,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK51) ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
? [X0] :
! [X1] : ~ model(X1,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
? [X9] :
! [X8] : ~ model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction) ).
fof(f5852,plain,
! [X0] :
( model(X0,sK48)
| model(sK13(sK51),sK51) ),
inference(resolution,[],[f5553,f327]) ).
fof(f5553,plain,
! [X0,X1] :
( model(sK45(X0,sK48),X0)
| model(X1,sK48)
| model(sK13(X0),X0) ),
inference(subsumption_resolution,[],[f5428,f232]) ).
fof(f232,plain,
~ mighta(wca,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(wca,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(wca,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(wca,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wca_thm) ).
fof(f5428,plain,
! [X0,X1] :
( mighta(wca,thm)
| model(sK45(X0,sK48),X0)
| model(X1,sK48)
| model(sK13(X0),X0) ),
inference(resolution,[],[f1634,f2703]) ).
fof(f2703,plain,
! [X0,X1] :
( status(X1,sK48,wca)
| model(X0,sK48)
| model(sK13(X1),X1) ),
inference(resolution,[],[f241,f325]) ).
fof(f325,plain,
model(sK50,sK48),
inference(cnf_transformation,[],[f215]) ).
fof(f241,plain,
! [X0,X1,X6,X5] :
( ~ model(X6,X1)
| model(X5,X1)
| status(X0,X1,wca)
| model(sK13(X0),X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1] :
( ( ( ~ model(sK11(X1),X1)
& model(sK12(X1),X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X5] : model(X5,X1)
| ! [X6] : ~ model(X6,X1)
| model(sK13(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12,sK13])],[f99,f102,f101,f100]) ).
fof(f100,plain,
! [X1] :
( ? [X2] : ~ model(X2,X1)
=> ~ model(sK11(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f101,plain,
! [X1] :
( ? [X3] : model(X3,X1)
=> model(sK12(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f102,plain,
! [X0] :
( ? [X7] : model(X7,X0)
=> model(sK13(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
! [X0,X1] :
( ( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X5] : model(X5,X1)
| ! [X6] : ~ model(X6,X1)
| ? [X7] : model(X7,X0) ) ),
inference(rectify,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X1)
| ? [X4] : model(X4,X0) ) ),
inference(flattening,[],[f97]) ).
fof(f97,plain,
! [X0,X1] :
( ( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
| ~ status(X0,X1,wca) )
& ( status(X0,X1,wca)
| ! [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X1)
| ? [X4] : model(X4,X0) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ! [X4] : ~ model(X4,X0) )
<=> status(X0,X1,wca) ),
inference(ennf_transformation,[],[f39]) ).
fof(f39,plain,
! [X0,X1] :
( ( ? [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X1)
& ~ ? [X4] : model(X4,X0) )
<=> status(X0,X1,wca) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X0,X1] :
( ( ? [X4] : ~ model(X4,X1)
& ? [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) )
<=> status(X0,X1,wca) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wca) ).
fof(f1634,plain,
! [X2,X0,X1] :
( ~ status(X1,X2,X0)
| mighta(X0,thm)
| model(sK45(X1,X2),X1) ),
inference(resolution,[],[f322,f313]) ).
fof(f313,plain,
! [X0,X1] :
( status(X0,X1,thm)
| model(sK45(X0,X1),X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK45(X0,X1),X1)
& model(sK45(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f200,f201]) ).
fof(f201,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK45(X0,X1),X1)
& model(sK45(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f200,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,[],[f199]) ).
fof(f199,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,[],[f69]) ).
fof(f69,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(f322,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X1)
| mighta(X0,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f52]) ).
fof(f52,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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : KRS268+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.05/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31 % Computer : n026.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat May 18 22:05:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % (14873)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.33 % (14878)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.33 % (14874)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.33 % (14880)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)
% 0.15/0.33 % (14879)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.33 % (14876)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)
% 0.15/0.33 % (14877)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.33 % (14875)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [1]
% 0.15/0.33 TRYING [2]
% 0.15/0.33 TRYING [2]
% 0.15/0.34 TRYING [1,1,1]
% 0.15/0.34 TRYING [1,1,1]
% 0.15/0.34 TRYING [2,1,2]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [2,1,2]
% 0.15/0.34 TRYING [3]
% 0.15/0.34 TRYING [2,2,2]
% 0.15/0.34 TRYING [2,2,2]
% 0.15/0.34 TRYING [3,3,2]
% 0.15/0.34 TRYING [3,3,2]
% 0.15/0.34 TRYING [4]
% 0.15/0.35 TRYING [4]
% 0.15/0.35 TRYING [4,4,2]
% 0.15/0.35 TRYING [4,4,2]
% 0.15/0.37 TRYING [5]
% 0.15/0.38 TRYING [4,4,3]
% 0.15/0.38 TRYING [5]
% 0.15/0.38 TRYING [4,4,3]
% 0.15/0.39 % (14878)First to succeed.
% 0.15/0.39 % (14878)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14873"
% 0.15/0.39 % (14878)Refutation found. Thanks to Tanya!
% 0.15/0.39 % SZS status Theorem for theBenchmark
% 0.15/0.39 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.39 % (14878)------------------------------
% 0.15/0.39 % (14878)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.39 % (14878)Termination reason: Refutation
% 0.15/0.39
% 0.15/0.39 % (14878)Memory used [KB]: 1920
% 0.15/0.39 % (14878)Time elapsed: 0.063 s
% 0.15/0.39 % (14878)Instructions burned: 142 (million)
% 0.15/0.39 % (14873)Success in time 0.078 s
%------------------------------------------------------------------------------