TSTP Solution File: KRS216+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KRS216+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 : n028.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 23:22:36 EDT 2024
% Result : Theorem 10.46s 1.85s
% Output : Refutation 10.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 12
% Syntax : Number of formulae : 51 ( 16 unt; 0 def)
% Number of atoms : 131 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 135 ( 55 ~; 43 |; 22 &)
% ( 8 <=>; 7 =>; 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 119 ( 96 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f99916,plain,
$false,
inference(subsumption_resolution,[],[f99915,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(f99915,plain,
! [X0] : model(X0,sK51),
inference(subsumption_resolution,[],[f99914,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(f99914,plain,
! [X0] :
( ~ model(X0,sK52)
| model(X0,sK51) ),
inference(subsumption_resolution,[],[f99880,f232]) ).
fof(f232,plain,
~ nota(uns,thm),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
~ nota(uns,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(uns,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(uns,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_uns_thm) ).
fof(f99880,plain,
! [X0] :
( nota(uns,thm)
| ~ model(X0,sK52)
| model(X0,sK51) ),
inference(resolution,[],[f99870,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(f99870,plain,
! [X0] :
( status(sK52,sK51,X0)
| nota(uns,X0) ),
inference(resolution,[],[f99832,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(f99832,plain,
status(sK52,sK51,uns),
inference(resolution,[],[f42120,f328]) ).
fof(f42120,plain,
! [X0] :
( ~ model(sK15(X0),X0)
| status(X0,sK51,uns) ),
inference(resolution,[],[f41897,f245]) ).
fof(f245,plain,
! [X0,X1] :
( ~ model(sK14(X1),not(X1))
| status(X0,X1,uns)
| ~ model(sK15(X0),X0) ),
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(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(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) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : KRS216+1 : TPTP v8.2.0. Bugfixed v5.4.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.09/0.29 % Computer : n028.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sat May 18 22:32:23 EDT 2024
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % (18604)Running in auto input_syntax mode. Trying TPTP
% 0.09/0.31 % (18606)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.09/0.31 % (18610)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.09/0.31 % (18609)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.31 % (18605)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.31 % (18607)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)
% 0.15/0.31 % (18608)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.31 TRYING [1,1,1]
% 0.15/0.31 % (18611)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)
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2,1,2]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [2,2,2]
% 0.15/0.32 TRYING [3]
% 0.15/0.32 TRYING [1,1,1]
% 0.15/0.32 TRYING [2,1,2]
% 0.15/0.32 TRYING [1]
% 0.15/0.32 TRYING [2,2,2]
% 0.15/0.32 TRYING [2]
% 0.15/0.32 TRYING [3,3,2]
% 0.15/0.32 TRYING [4]
% 0.15/0.32 TRYING [3]
% 0.15/0.33 TRYING [3,3,2]
% 0.15/0.33 TRYING [4,4,2]
% 0.15/0.34 TRYING [4]
% 0.15/0.34 TRYING [4,4,2]
% 0.15/0.34 TRYING [5]
% 0.15/0.36 TRYING [4,4,3]
% 0.15/0.36 TRYING [4,4,3]
% 0.15/0.37 TRYING [5]
% 0.15/0.38 TRYING [5,5,2]
% 0.15/0.39 TRYING [5,5,2]
% 0.15/0.39 TRYING [6]
% 0.15/0.41 TRYING [5,4,3]
% 0.15/0.43 TRYING [4,4,4]
% 0.15/0.43 TRYING [6]
% 0.15/0.44 TRYING [4,4,4]
% 0.15/0.46 TRYING [5,4,4]
% 0.15/0.47 TRYING [5,5,3]
% 0.15/0.48 TRYING [7]
% 0.15/0.49 TRYING [6,4,4]
% 0.15/0.51 TRYING [5,4,4]
% 0.15/0.53 TRYING [5,4,5]
% 0.15/0.54 TRYING [6,4,4]
% 0.15/0.55 TRYING [7]
% 0.15/0.57 TRYING [5,5,3]
% 0.15/0.58 TRYING [5,4,5]
% 2.26/0.62 TRYING [7,4,4]
% 2.26/0.62 TRYING [7,4,4]
% 2.38/0.65 TRYING [8]
% 2.38/0.66 TRYING [6,4,5]
% 2.38/0.67 TRYING [6,4,5]
% 2.38/0.70 TRYING [8,4,4]
% 2.97/0.71 TRYING [8,4,4]
% 2.97/0.74 TRYING [7,4,5]
% 2.97/0.74 TRYING [7,4,5]
% 2.97/0.76 TRYING [8]
% 3.44/0.78 TRYING [6,5,3]
% 3.44/0.78 TRYING [6,5,3]
% 3.44/0.81 TRYING [6,4,6]
% 3.44/0.82 TRYING [6,4,6]
% 3.44/0.84 TRYING [9,4,4]
% 3.44/0.86 TRYING [9,4,4]
% 4.02/0.87 TRYING [8,4,5]
% 4.02/0.88 TRYING [9]
% 4.14/0.89 TRYING [8,4,5]
% 4.14/0.90 TRYING [7,4,6]
% 4.46/0.94 TRYING [7,4,6]
% 4.46/0.94 TRYING [7,5,3]
% 4.46/0.99 TRYING [10,4,4]
% 4.46/1.00 TRYING [7,5,3]
% 5.07/1.03 TRYING [9,4,5]
% 5.07/1.06 TRYING [10,4,4]
% 5.54/1.09 TRYING [8,4,6]
% 5.54/1.10 TRYING [9,4,5]
% 5.54/1.12 TRYING [9]
% 5.54/1.13 TRYING [11,4,4]
% 5.54/1.15 TRYING [8,4,6]
% 5.54/1.18 TRYING [10,4,5]
% 6.22/1.19 TRYING [11,4,4]
% 6.32/1.22 TRYING [8,5,3]
% 6.56/1.23 TRYING [10]
% 6.56/1.25 TRYING [10,4,5]
% 6.56/1.28 TRYING [9,4,6]
% 6.56/1.30 TRYING [7,4,7]
% 6.56/1.32 TRYING [7,4,7]
% 7.29/1.36 TRYING [8,5,3]
% 7.29/1.38 TRYING [12,4,4]
% 7.76/1.42 TRYING [9,4,6]
% 7.76/1.44 TRYING [11,5,4]
% 8.24/1.47 TRYING [12,4,4]
% 8.47/1.52 TRYING [11,4,5]
% 8.71/1.54 TRYING [11,5,4]
% 8.71/1.56 TRYING [9,5,3]
% 8.71/1.62 TRYING [8,4,7]
% 9.41/1.63 TRYING [11,4,5]
% 9.41/1.65 TRYING [10]
% 9.41/1.67 TRYING [10,4,6]
% 9.86/1.70 TRYING [8,4,7]
% 9.86/1.74 TRYING [13,4,4]
% 9.86/1.76 TRYING [10,4,6]
% 10.46/1.80 TRYING [12,5,4]
% 10.46/1.83 TRYING [9,5,3]
% 10.46/1.85 % (18609)First to succeed.
% 10.46/1.85 % (18609)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18604"
% 10.46/1.85 % (18609)Refutation found. Thanks to Tanya!
% 10.46/1.85 % SZS status Theorem for theBenchmark
% 10.46/1.85 % SZS output start Proof for theBenchmark
% See solution above
% 10.46/1.86 % (18609)------------------------------
% 10.46/1.86 % (18609)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 10.46/1.86 % (18609)Termination reason: Refutation
% 10.46/1.86
% 10.46/1.86 % (18609)Memory used [KB]: 15233
% 10.46/1.86 % (18609)Time elapsed: 1.543 s
% 10.46/1.86 % (18609)Instructions burned: 3762 (million)
% 10.46/1.86 % (18604)Success in time 1.555 s
%------------------------------------------------------------------------------