TSTP Solution File: KRS234+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS234+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 : n009.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 0.48s
% 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 : 120 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 124 ( 46 ~; 38 |; 23 &)
% ( 8 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 108 ( 93 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10132,plain,
$false,
inference(subsumption_resolution,[],[f10131,f4495]) ).
fof(f4495,plain,
! [X0] : ~ model(X0,sK47(uns,thm)),
inference(resolution,[],[f4492,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/sandbox2/benchmark/theBenchmark.p',not) ).
fof(f4492,plain,
! [X0] : model(X0,not(sK47(uns,thm))),
inference(resolution,[],[f1656,f234]) ).
fof(f234,plain,
~ nevera(uns,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ nevera(uns,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nevera(uns,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nevera(uns,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nevera_uns_thm) ).
fof(f1656,plain,
! [X0,X1] :
( nevera(uns,X0)
| model(X1,not(sK47(uns,X0))) ),
inference(resolution,[],[f318,f249]) ).
fof(f249,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,uns)
| model(X2,not(X1)) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ~ model(sK14(X1),not(X1))
| ~ model(sK15(X0),X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f106,f108,f107]) ).
fof(f107,plain,
! [X1] :
( ? [X4] : ~ model(X4,not(X1))
=> ~ model(sK14(X1),not(X1)) ),
introduced(choice_axiom,[]) ).
fof(f108,plain,
! [X0] :
( ? [X5] : ~ model(X5,X0)
=> ~ model(sK15(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f106,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ? [X4] : ~ model(X4,not(X1))
| ? [X5] : ~ model(X5,X0) ) ),
inference(rectify,[],[f105]) ).
fof(f105,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ? [X2] : ~ model(X2,not(X1))
| ? [X3] : ~ model(X3,X0) ) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1] :
( ( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
| ~ status(X0,X1,uns) )
& ( status(X0,X1,uns)
| ? [X2] : ~ model(X2,not(X1))
| ? [X3] : ~ model(X3,X0) ) ),
inference(nnf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( ! [X2] : model(X2,not(X1))
& ! [X3] : model(X3,X0) )
<=> status(X0,X1,uns) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X0,X1] :
( ( ! [X3] : model(X3,not(X1))
& ! [X2] : model(X2,X0) )
<=> status(X0,X1,uns) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',uns) ).
fof(f318,plain,
! [X0,X1] :
( status(sK46(X0,X1),sK47(X0,X1),X0)
| 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/sandbox2/benchmark/theBenchmark.p',nevera) ).
fof(f10131,plain,
! [X0] : model(X0,sK47(uns,thm)),
inference(subsumption_resolution,[],[f10116,f234]) ).
fof(f10116,plain,
! [X0] :
( nevera(uns,thm)
| model(X0,sK47(uns,thm)) ),
inference(resolution,[],[f1667,f3545]) ).
fof(f3545,plain,
! [X0] : model(X0,sK46(uns,thm)),
inference(resolution,[],[f1657,f234]) ).
fof(f1657,plain,
! [X0,X1] :
( nevera(uns,X0)
| model(X1,sK46(uns,X0)) ),
inference(resolution,[],[f318,f248]) ).
fof(f248,plain,
! [X3,X0,X1] :
( ~ status(X0,X1,uns)
| model(X3,X0) ),
inference(cnf_transformation,[],[f109]) ).
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/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f319,plain,
! [X0,X1] :
( status(sK46(X0,X1),sK47(X0,X1),X1)
| nevera(X0,X1) ),
inference(cnf_transformation,[],[f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KRS234+1 : TPTP v8.1.2. Bugfixed v5.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri May 3 19:53:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (28244)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (28249)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)
% 0.14/0.38 % (28247)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38 % (28250)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38 % (28248)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38 % (28252)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38 % (28251)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38 % (28253)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1,1,1]
% 0.14/0.39 TRYING [1,1,1]
% 0.14/0.39 TRYING [2,1,2]
% 0.14/0.39 TRYING [2,1,2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [2,2,2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [2,2,2]
% 0.14/0.40 TRYING [3,3,2]
% 0.14/0.40 TRYING [3,3,2]
% 0.14/0.40 TRYING [4]
% 0.14/0.41 TRYING [4]
% 0.14/0.41 TRYING [4,4,2]
% 0.14/0.41 TRYING [4,4,2]
% 0.21/0.43 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]
% 0.21/0.48 TRYING [5,5,2]
% 0.21/0.48 % (28251)First to succeed.
% 0.21/0.48 % (28251)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28244"
% 0.21/0.48 % (28251)Refutation found. Thanks to Tanya!
% 0.21/0.48 % SZS status Theorem for theBenchmark
% 0.21/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.48 % (28251)------------------------------
% 0.21/0.48 % (28251)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.48 % (28251)Termination reason: Refutation
% 0.21/0.48
% 0.21/0.48 % (28251)Memory used [KB]: 2291
% 0.21/0.48 % (28251)Time elapsed: 0.104 s
% 0.21/0.48 % (28251)Instructions burned: 221 (million)
% 0.21/0.48 % (28244)Success in time 0.121 s
%------------------------------------------------------------------------------