TSTP Solution File: KRS215+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS215+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 : n012.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 23:22:35 EDT 2024
% Result : Theorem 3.06s 0.81s
% Output : Refutation 3.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 14
% Syntax : Number of formulae : 57 ( 16 unt; 0 def)
% Number of atoms : 159 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 168 ( 66 ~; 54 |; 31 &)
% ( 9 <=>; 8 =>; 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 : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 140 ( 113 !; 27 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f52296,plain,
$false,
inference(subsumption_resolution,[],[f52295,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(f52295,plain,
! [X0] : model(X0,sK51),
inference(subsumption_resolution,[],[f52294,f328]) ).
fof(f328,plain,
! [X1] : model(X1,sK52),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X1] : model(X1,sK52),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52])],[f56,f218]) ).
fof(f218,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK52) ),
introduced(choice_axiom,[]) ).
fof(f56,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tautology) ).
fof(f52294,plain,
! [X0] :
( ~ model(X0,sK52)
| model(X0,sK51) ),
inference(subsumption_resolution,[],[f52260,f232]) ).
fof(f232,plain,
~ nota(csa,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ nota(csa,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(csa,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(csa,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_csa_thm) ).
fof(f52260,plain,
! [X0] :
( nota(csa,thm)
| ~ model(X0,sK52)
| model(X0,sK51) ),
inference(resolution,[],[f46663,f315]) ).
fof(f315,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(f46663,plain,
! [X0] :
( status(sK52,sK51,X0)
| nota(csa,X0) ),
inference(resolution,[],[f46261,f322]) ).
fof(f322,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1)
| nota(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( nota(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) )
=> nota(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f51]) ).
fof(f51,plain,
! [X0,X1] :
( ? [X2,X3] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
<=> nota(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X6,X7] :
( ? [X0,X1] :
( ~ status(X0,X1,X7)
& status(X0,X1,X6) )
<=> nota(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota) ).
fof(f46261,plain,
status(sK52,sK51,csa),
inference(resolution,[],[f42039,f328]) ).
fof(f42039,plain,
! [X0,X1] :
( ~ model(X1,X0)
| status(X0,sK51,csa) ),
inference(resolution,[],[f41897,f319]) ).
fof(f319,plain,
! [X3,X0,X1] :
( ~ model(X3,not(X1))
| status(X0,X1,csa)
| ~ model(X3,X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( ( ( model(sK47(X0,X1),not(X1))
& model(sK47(X0,X1),X0) )
| ~ status(X0,X1,csa) )
& ( status(X0,X1,csa)
| ! [X3] :
( ~ model(X3,not(X1))
| ~ model(X3,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK47])],[f208,f209]) ).
fof(f209,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
=> ( model(sK47(X0,X1),not(X1))
& model(sK47(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
! [X0,X1] :
( ( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
| ~ status(X0,X1,csa) )
& ( status(X0,X1,csa)
| ! [X3] :
( ~ model(X3,not(X1))
| ~ model(X3,X0) ) ) ),
inference(rectify,[],[f207]) ).
fof(f207,plain,
! [X0,X1] :
( ( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
| ~ status(X0,X1,csa) )
& ( status(X0,X1,csa)
| ! [X2] :
( ~ model(X2,not(X1))
| ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X0,X1] :
( ? [X2] :
( model(X2,not(X1))
& model(X2,X0) )
<=> status(X0,X1,csa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',csa) ).
fof(f41897,plain,
! [X0] : model(X0,not(sK51)),
inference(resolution,[],[f19578,f327]) ).
fof(f19578,plain,
! [X0,X1] :
( model(sK14(X0),X0)
| model(X1,not(X0)) ),
inference(resolution,[],[f5118,f247]) ).
fof(f247,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/sandbox/benchmark/theBenchmark.p',uns) ).
fof(f5118,plain,
! [X0] :
( status(sK52,X0,uns)
| model(sK14(X0),X0) ),
inference(resolution,[],[f1789,f328]) ).
fof(f1789,plain,
! [X0,X1] :
( ~ model(sK15(X0),X0)
| status(X0,X1,uns)
| model(sK14(X1),X1) ),
inference(resolution,[],[f245,f234]) ).
fof(f234,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(f245,plain,
! [X0,X1] :
( ~ model(sK14(X1),not(X1))
| status(X0,X1,uns)
| ~ model(sK15(X0),X0) ),
inference(cnf_transformation,[],[f109]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : KRS215+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.34 % Computer : n012.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Sat May 18 22:29:53 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (21890)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (21891)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 % (21892)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (21893)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)
% 0.15/0.37 % (21895)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (21894)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (21896)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (21897)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [1,1,1]
% 0.15/0.38 TRYING [1,1,1]
% 0.15/0.38 TRYING [2,1,2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2,1,2]
% 0.15/0.38 TRYING [2,2,2]
% 0.15/0.38 TRYING [2,2,2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3,3,2]
% 0.15/0.38 TRYING [3,3,2]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [4,4,2]
% 0.15/0.40 TRYING [4,4,2]
% 0.21/0.42 TRYING [5]
% 0.21/0.42 TRYING [4,4,3]
% 0.21/0.43 TRYING [4,4,3]
% 0.21/0.43 TRYING [5]
% 0.21/0.45 TRYING [5,5,2]
% 0.21/0.46 TRYING [5,5,2]
% 0.21/0.47 TRYING [6]
% 0.21/0.48 TRYING [5,4,3]
% 0.21/0.49 TRYING [6]
% 0.21/0.49 TRYING [4,4,4]
% 0.21/0.50 TRYING [4,4,4]
% 0.21/0.51 TRYING [5,4,4]
% 0.21/0.52 TRYING [5,5,3]
% 0.21/0.53 TRYING [7]
% 0.21/0.54 TRYING [6,4,4]
% 0.21/0.55 TRYING [5,4,4]
% 0.21/0.56 TRYING [5,4,5]
% 0.21/0.57 TRYING [7]
% 1.70/0.57 TRYING [6,4,4]
% 1.70/0.59 TRYING [5,5,3]
% 1.83/0.60 TRYING [5,4,5]
% 1.83/0.62 TRYING [7,4,4]
% 1.83/0.62 TRYING [7,4,4]
% 2.07/0.65 TRYING [6,4,5]
% 2.07/0.65 TRYING [6,4,5]
% 2.07/0.66 TRYING [8]
% 2.07/0.68 TRYING [8,4,4]
% 2.07/0.68 TRYING [8,4,4]
% 2.57/0.71 TRYING [7,4,5]
% 2.57/0.71 TRYING [8]
% 2.57/0.72 TRYING [7,4,5]
% 2.57/0.74 TRYING [6,5,3]
% 2.57/0.75 TRYING [6,5,3]
% 2.57/0.77 TRYING [6,4,6]
% 3.06/0.79 TRYING [6,4,6]
% 3.06/0.80 TRYING [9,4,4]
% 3.06/0.81 % (21895)First to succeed.
% 3.06/0.81 % (21895)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-21890"
% 3.06/0.81 % (21895)Refutation found. Thanks to Tanya!
% 3.06/0.81 % SZS status Theorem for theBenchmark
% 3.06/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 3.06/0.81 % (21895)------------------------------
% 3.06/0.81 % (21895)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 3.06/0.81 % (21895)Termination reason: Refutation
% 3.06/0.81
% 3.06/0.81 % (21895)Memory used [KB]: 7018
% 3.06/0.81 % (21895)Time elapsed: 0.443 s
% 3.06/0.81 % (21895)Instructions burned: 1487 (million)
% 3.06/0.81 % (21890)Success in time 0.45 s
%------------------------------------------------------------------------------