TSTP Solution File: KRS235+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS235+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n010.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 07:20:10 EDT 2024
% Result : Theorem 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 42 ( 9 unt; 0 def)
% Number of atoms : 144 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 152 ( 50 ~; 46 |; 39 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 101 ( 82 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12585,plain,
$false,
inference(subsumption_resolution,[],[f12527,f8419]) ).
fof(f8419,plain,
model(sK33(sK46(noc,thm),sK47(noc,thm)),sK47(noc,thm)),
inference(subsumption_resolution,[],[f8375,f234]) ).
fof(f234,plain,
~ nevera(noc,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ nevera(noc,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nevera(noc,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nevera(noc,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nevera_noc_thm) ).
fof(f8375,plain,
( nevera(noc,thm)
| model(sK33(sK46(noc,thm),sK47(noc,thm)),sK47(noc,thm)) ),
inference(resolution,[],[f8374,f1667]) ).
fof(f1667,plain,
! [X0,X1] :
( ~ model(X1,sK46(X0,thm))
| nevera(X0,thm)
| model(X1,sK47(X0,thm)) ),
inference(resolution,[],[f319,f317]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| ~ model(X2,X0)
| model(X2,X1) ),
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(f319,plain,
! [X0,X1] :
( status(sK46(X0,X1),sK47(X0,X1),X1)
| nevera(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0,X1] :
( nevera(X0,X1)
| ( status(sK46(X0,X1),sK47(X0,X1),X1)
& status(sK46(X0,X1),sK47(X0,X1),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47])],[f70,f203]) ).
fof(f203,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
=> ( status(sK46(X0,X1),sK47(X0,X1),X1)
& status(sK46(X0,X1),sK47(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f70,plain,
! [X0,X1] :
( nevera(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,X0)
=> ~ status(X2,X3,X1) )
=> nevera(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f48]) ).
fof(f48,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X2,X3,X0)
=> ~ status(X2,X3,X1) )
<=> nevera(X0,X1) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X6,X7] :
( ! [X0,X1] :
( status(X0,X1,X6)
=> ~ status(X0,X1,X7) )
<=> nevera(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nevera) ).
fof(f8374,plain,
model(sK33(sK46(noc,thm),sK47(noc,thm)),sK46(noc,thm)),
inference(resolution,[],[f1659,f234]) ).
fof(f1659,plain,
! [X0] :
( nevera(noc,X0)
| model(sK33(sK46(noc,X0),sK47(noc,X0)),sK46(noc,X0)) ),
inference(resolution,[],[f318,f296]) ).
fof(f296,plain,
! [X0,X1] :
( ~ status(X0,X1,noc)
| model(sK33(X0,X1),X0) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0,X1] :
( ( ( model(sK33(X0,X1),not(X1))
& model(sK33(X0,X1),X0)
& model(sK34(X0,X1),X1)
& model(sK34(X0,X1),X0) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X4] :
( ~ model(X4,not(X1))
| ~ model(X4,X0) )
| ! [X5] :
( ~ model(X5,X1)
| ~ model(X5,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK33,sK34])],[f167,f169,f168]) ).
fof(f168,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
=> ( model(sK33(X0,X1),not(X1))
& model(sK33(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X1)
& model(X3,X0) )
=> ( model(sK34(X0,X1),X1)
& model(sK34(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0,X1] :
( ( ( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
& ? [X3] :
( model(X3,X1)
& model(X3,X0) ) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X4] :
( ~ model(X4,not(X1))
| ~ model(X4,X0) )
| ! [X5] :
( ~ model(X5,X1)
| ~ model(X5,X0) ) ) ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( ( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
& ? [X3] :
( model(X3,X1)
& model(X3,X0) ) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X2] :
( ~ model(X2,not(X1))
| ~ model(X2,X0) )
| ! [X3] :
( ~ model(X3,X1)
| ~ model(X3,X0) ) ) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( ( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
& ? [X3] :
( model(X3,X1)
& model(X3,X0) ) )
| ~ status(X0,X1,noc) )
& ( status(X0,X1,noc)
| ! [X2] :
( ~ model(X2,not(X1))
| ~ model(X2,X0) )
| ! [X3] :
( ~ model(X3,X1)
| ~ model(X3,X0) ) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
& ? [X3] :
( model(X3,X1)
& model(X3,X0) ) )
<=> status(X0,X1,noc) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X0,X1] :
( ( ? [X3] :
( model(X3,not(X1))
& model(X3,X0) )
& ? [X2] :
( model(X2,X1)
& model(X2,X0) ) )
<=> status(X0,X1,noc) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',noc) ).
fof(f318,plain,
! [X0,X1] :
( status(sK46(X0,X1),sK47(X0,X1),X0)
| nevera(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
fof(f12527,plain,
~ model(sK33(sK46(noc,thm),sK47(noc,thm)),sK47(noc,thm)),
inference(resolution,[],[f9712,f235]) ).
fof(f235,plain,
! [X0,X1] :
( ~ model(X0,not(X1))
| ~ model(X0,X1) ),
inference(cnf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1] :
( ( model(X0,X1)
| model(X0,not(X1)) )
& ( ~ model(X0,not(X1))
| ~ model(X0,X1) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( model(X0,X1)
<=> ~ model(X0,not(X1)) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X8,X9] :
( model(X8,X9)
<=> ~ model(X8,not(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not) ).
fof(f9712,plain,
model(sK33(sK46(noc,thm),sK47(noc,thm)),not(sK47(noc,thm))),
inference(resolution,[],[f1658,f234]) ).
fof(f1658,plain,
! [X0] :
( nevera(noc,X0)
| model(sK33(sK46(noc,X0),sK47(noc,X0)),not(sK47(noc,X0))) ),
inference(resolution,[],[f318,f297]) ).
fof(f297,plain,
! [X0,X1] :
( ~ status(X0,X1,noc)
| model(sK33(X0,X1),not(X1)) ),
inference(cnf_transformation,[],[f170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS235+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n010.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 19:52:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (22327)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (22328)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (22330)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)
% 0.15/0.38 % (22329)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (22331)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (22332)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (22333)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (22334)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1,1,1]
% 0.15/0.39 TRYING [1,1,1]
% 0.15/0.39 TRYING [2,1,2]
% 0.15/0.39 TRYING [2,1,2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2,2,2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [2,2,2]
% 0.15/0.39 TRYING [3,3,2]
% 0.15/0.40 TRYING [3,3,2]
% 0.15/0.40 TRYING [4]
% 0.21/0.40 TRYING [4]
% 0.21/0.41 TRYING [4,4,2]
% 0.21/0.41 TRYING [4,4,2]
% 0.21/0.42 TRYING [5]
% 0.21/0.44 TRYING [5]
% 0.21/0.44 TRYING [4,4,3]
% 0.21/0.45 TRYING [4,4,3]
% 0.21/0.48 TRYING [5,5,2]
% 0.21/0.49 TRYING [6]
% 0.21/0.49 TRYING [5,5,2]
% 0.21/0.51 TRYING [6]
% 0.21/0.52 % (22332)First to succeed.
% 0.21/0.52 % (22332)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22327"
% 0.21/0.52 TRYING [5,4,3]
% 0.21/0.52 % (22332)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Theorem for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (22332)------------------------------
% 0.21/0.52 % (22332)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.52 % (22332)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (22332)Memory used [KB]: 2756
% 0.21/0.52 % (22332)Time elapsed: 0.145 s
% 0.21/0.52 % (22332)Instructions burned: 331 (million)
% 0.21/0.52 % (22327)Success in time 0.162 s
%------------------------------------------------------------------------------