TSTP Solution File: KRS265+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS265+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 : n002.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 23:22:50 EDT 2024
% Result : Theorem 0.23s 0.48s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 10 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 91 ( 37 ~; 29 |; 14 &)
% ( 6 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 85 ( 69 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5592,plain,
$false,
inference(resolution,[],[f5553,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/sandbox/benchmark/theBenchmark.p',contradiction) ).
fof(f5553,plain,
! [X0] : model(sK43(X0),X0),
inference(subsumption_resolution,[],[f5552,f362]) ).
fof(f362,plain,
! [X0,X1] :
( ~ model(X1,X0)
| model(sK43(X0),X0) ),
inference(resolution,[],[f308,f309]) ).
fof(f309,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,cax)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X0)
| ~ status(X0,X1,cax) )
& ( status(X0,X1,cax)
| model(sK43(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43])],[f192,f193]) ).
fof(f193,plain,
! [X0] :
( ? [X3] : model(X3,X0)
=> model(sK43(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f192,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X0)
| ~ status(X0,X1,cax) )
& ( status(X0,X1,cax)
| ? [X3] : model(X3,X0) ) ),
inference(rectify,[],[f191]) ).
fof(f191,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X0)
| ~ status(X0,X1,cax) )
& ( status(X0,X1,cax)
| ? [X2] : model(X2,X0) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2] : ~ model(X2,X0)
<=> status(X0,X1,cax) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0,X1] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cax) ).
fof(f308,plain,
! [X0,X1] :
( status(X0,X1,cax)
| model(sK43(X0),X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f5552,plain,
! [X0,X1] :
( model(sK45(X0,X1),X0)
| model(sK43(X0),X0) ),
inference(subsumption_resolution,[],[f5421,f232]) ).
fof(f232,plain,
~ mighta(cax,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ mighta(cax,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(cax,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(cax,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_cax_thm) ).
fof(f5421,plain,
! [X0,X1] :
( mighta(cax,thm)
| model(sK45(X0,X1),X0)
| model(sK43(X0),X0) ),
inference(resolution,[],[f1634,f308]) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',mighta) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : KRS265+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.13/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.38 % Computer : n002.cluster.edu
% 0.16/0.38 % Model : x86_64 x86_64
% 0.16/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.38 % Memory : 8042.1875MB
% 0.16/0.38 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Sat May 18 22:27:53 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 % (14163)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.40 % (14168)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.40 % (14170)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)
% 0.16/0.40 % (14165)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.40 % (14164)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.40 % (14169)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.40 % (14166)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)
% 0.16/0.40 % (14167)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.41 TRYING [1]
% 0.16/0.41 TRYING [1]
% 0.16/0.41 TRYING [2]
% 0.16/0.41 TRYING [2]
% 0.16/0.41 TRYING [1,1,1]
% 0.16/0.41 TRYING [1,1,1]
% 0.16/0.41 TRYING [2,1,2]
% 0.16/0.41 TRYING [2,1,2]
% 0.16/0.42 TRYING [3]
% 0.16/0.42 TRYING [3]
% 0.16/0.42 TRYING [2,2,2]
% 0.16/0.42 TRYING [2,2,2]
% 0.16/0.42 TRYING [3,3,2]
% 0.16/0.42 TRYING [3,3,2]
% 0.16/0.43 TRYING [4]
% 0.23/0.43 TRYING [4]
% 0.23/0.44 TRYING [4,4,2]
% 0.23/0.44 TRYING [4,4,2]
% 0.23/0.46 TRYING [5]
% 0.23/0.46 TRYING [4,4,3]
% 0.23/0.47 TRYING [4,4,3]
% 0.23/0.48 TRYING [5]
% 0.23/0.48 % (14168)First to succeed.
% 0.23/0.48 % (14168)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-14163"
% 0.23/0.48 % (14168)Refutation found. Thanks to Tanya!
% 0.23/0.48 % SZS status Theorem for theBenchmark
% 0.23/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.48 % (14168)------------------------------
% 0.23/0.48 % (14168)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.23/0.48 % (14168)Termination reason: Refutation
% 0.23/0.48
% 0.23/0.48 % (14168)Memory used [KB]: 1837
% 0.23/0.48 % (14168)Time elapsed: 0.076 s
% 0.23/0.48 % (14168)Instructions burned: 127 (million)
% 0.23/0.48 % (14163)Success in time 0.093 s
%------------------------------------------------------------------------------