TSTP Solution File: KRS203+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS203+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n022.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 : Wed Aug 31 17:31:05 EDT 2022
% Result : Theorem 0.10s 0.49s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 47 ( 14 unt; 0 def)
% Number of atoms : 152 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 166 ( 61 ~; 37 |; 51 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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; 8 con; 0-2 aty)
% Number of variables : 123 ( 75 !; 48 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f440,plain,
$false,
inference(resolution,[],[f433,f222]) ).
fof(f222,plain,
~ model(sK8,sK4),
inference(cnf_transformation,[],[f94]) ).
fof(f94,plain,
( model(sK6,sK5)
& ! [X3] :
( ~ model(X3,sK5)
| model(X3,sK4) )
& model(sK7,sK4)
& ~ model(sK7,sK5)
& ~ model(sK8,sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5,sK6,sK7,sK8])],[f89,f93,f92,f91,f90]) ).
fof(f90,plain,
( ? [X0,X1] :
( ? [X2] : model(X2,X1)
& ! [X3] :
( ~ model(X3,X1)
| model(X3,X0) )
& ? [X4] :
( model(X4,X0)
& ~ model(X4,X1) )
& ? [X5] : ~ model(X5,X0) )
=> ( ? [X2] : model(X2,sK5)
& ! [X3] :
( ~ model(X3,sK5)
| model(X3,sK4) )
& ? [X4] :
( model(X4,sK4)
& ~ model(X4,sK5) )
& ? [X5] : ~ model(X5,sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f91,plain,
( ? [X2] : model(X2,sK5)
=> model(sK6,sK5) ),
introduced(choice_axiom,[]) ).
fof(f92,plain,
( ? [X4] :
( model(X4,sK4)
& ~ model(X4,sK5) )
=> ( model(sK7,sK4)
& ~ model(sK7,sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f93,plain,
( ? [X5] : ~ model(X5,sK4)
=> ~ model(sK8,sK4) ),
introduced(choice_axiom,[]) ).
fof(f89,plain,
? [X0,X1] :
( ? [X2] : model(X2,X1)
& ! [X3] :
( ~ model(X3,X1)
| model(X3,X0) )
& ? [X4] :
( model(X4,X0)
& ~ model(X4,X1) )
& ? [X5] : ~ model(X5,X0) ),
inference(rectify,[],[f68]) ).
fof(f68,plain,
? [X1,X0] :
( ? [X4] : model(X4,X0)
& ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
& ? [X5] :
( model(X5,X1)
& ~ model(X5,X0) )
& ? [X3] : ~ model(X3,X1) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
? [X0,X1] :
( ? [X4] : model(X4,X0)
& ? [X3] : ~ model(X3,X1)
& ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
& ? [X5] :
( model(X5,X1)
& ~ model(X5,X0) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
? [X0,X1] :
( ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X5] : ~ model(X5,X1)
& ? [X2] : model(X2,X0)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixed_pair) ).
fof(f433,plain,
! [X0] : model(X0,sK4),
inference(subsumption_resolution,[],[f417,f233]) ).
fof(f233,plain,
! [X1] : model(X1,sK11),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X1] : model(X1,sK11),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f36,f103]) ).
fof(f103,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK11) ),
introduced(choice_axiom,[]) ).
fof(f36,plain,
? [X0] :
! [X1] : model(X1,X0),
inference(rectify,[],[f27]) ).
fof(f27,axiom,
? [X9] :
! [X8] : model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology) ).
fof(f417,plain,
! [X0] :
( ~ model(X0,sK11)
| model(X0,sK4) ),
inference(resolution,[],[f408,f292]) ).
fof(f292,plain,
! [X3,X0,X1] :
( ~ status(X1,X0,thm)
| model(X3,X0)
| ~ model(X3,X1) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ( model(sK51(X0,X1),X1)
& ~ model(sK51(X0,X1),X0) ) )
& ( ! [X3] :
( ~ model(X3,X1)
| model(X3,X0) )
| ~ status(X1,X0,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51])],[f195,f196]) ).
fof(f196,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) )
=> ( model(sK51(X0,X1),X1)
& ~ model(sK51(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f195,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) ) )
& ( ! [X3] :
( ~ model(X3,X1)
| model(X3,X0) )
| ~ status(X1,X0,thm) ) ),
inference(rectify,[],[f194]) ).
fof(f194,plain,
! [X1,X0] :
( ( status(X0,X1,thm)
| ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) ) )
& ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X1,X0] :
( status(X0,X1,thm)
<=> ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X0)
=> model(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f408,plain,
status(sK11,sK4,thm),
inference(resolution,[],[f381,f321]) ).
fof(f321,plain,
! [X0,X1] :
( ~ status(X0,X1,sat)
| status(X0,X1,thm) ),
inference(resolution,[],[f212,f295]) ).
fof(f295,plain,
~ nota(sat,thm),
inference(cnf_transformation,[],[f55]) ).
fof(f55,plain,
~ nota(sat,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(sat,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(sat,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_sat_thm) ).
fof(f212,plain,
! [X2,X3,X0,X1] :
( nota(X1,X0)
| status(X2,X3,X0)
| ~ status(X2,X3,X1) ),
inference(cnf_transformation,[],[f75]) ).
fof(f75,plain,
! [X0,X1] :
( nota(X1,X0)
| ! [X2,X3] :
( ~ status(X2,X3,X1)
| status(X2,X3,X0) ) ),
inference(rectify,[],[f71]) ).
fof(f71,plain,
! [X0,X1] :
( nota(X1,X0)
| ! [X3,X2] :
( ~ status(X3,X2,X1)
| status(X3,X2,X0) ) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ? [X3,X2] :
( ~ status(X3,X2,X0)
& status(X3,X2,X1) )
=> nota(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f49]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X3,X2] :
( ~ status(X3,X2,X0)
& status(X3,X2,X1) )
<=> nota(X1,X0) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X7,X6] :
( ? [X1,X0] :
( ~ status(X0,X1,X7)
& status(X0,X1,X6) )
<=> nota(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota) ).
fof(f381,plain,
status(sK11,sK4,sat),
inference(resolution,[],[f364,f224]) ).
fof(f224,plain,
model(sK7,sK4),
inference(cnf_transformation,[],[f94]) ).
fof(f364,plain,
! [X2,X3] :
( ~ model(X3,X2)
| status(sK11,X2,sat) ),
inference(resolution,[],[f233,f229]) ).
fof(f229,plain,
! [X2,X0,X1] :
( ~ model(X2,X0)
| status(X0,X1,sat)
| ~ model(X2,X1) ),
inference(cnf_transformation,[],[f98]) ).
fof(f98,plain,
! [X0,X1] :
( ( status(X0,X1,sat)
| ! [X2] :
( ~ model(X2,X1)
| ~ model(X2,X0) ) )
& ( ( model(sK9(X0,X1),X1)
& model(sK9(X0,X1),X0) )
| ~ status(X0,X1,sat) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f96,f97]) ).
fof(f97,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X1)
& model(X3,X0) )
=> ( model(sK9(X0,X1),X1)
& model(sK9(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f96,plain,
! [X0,X1] :
( ( status(X0,X1,sat)
| ! [X2] :
( ~ model(X2,X1)
| ~ model(X2,X0) ) )
& ( ? [X3] :
( model(X3,X1)
& model(X3,X0) )
| ~ status(X0,X1,sat) ) ),
inference(rectify,[],[f95]) ).
fof(f95,plain,
! [X1,X0] :
( ( status(X1,X0,sat)
| ! [X2] :
( ~ model(X2,X0)
| ~ model(X2,X1) ) )
& ( ? [X2] :
( model(X2,X0)
& model(X2,X1) )
| ~ status(X1,X0,sat) ) ),
inference(nnf_transformation,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( status(X1,X0,sat)
<=> ? [X2] :
( model(X2,X0)
& model(X2,X1) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X1,X0] :
( status(X0,X1,sat)
<=> ? [X2] :
( model(X2,X1)
& model(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sat) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.06 % Problem : KRS203+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.05/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.06/0.25 % Computer : n022.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue Aug 30 00:37:26 EDT 2022
% 0.06/0.25 % CPUTime :
% 0.10/0.44 % (17557)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.10/0.44 % (17543)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.44 % (17542)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.45 % (17543)Instruction limit reached!
% 0.10/0.45 % (17543)------------------------------
% 0.10/0.45 % (17543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (17549)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.10/0.45 % (17543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45 % (17543)Termination reason: Unknown
% 0.10/0.45 % (17541)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.45 % (17542)Instruction limit reached!
% 0.10/0.45 % (17542)------------------------------
% 0.10/0.45 % (17542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45 % (17551)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.45 % (17543)Termination phase: Preprocessing 3
% 0.10/0.45
% 0.10/0.45 % (17543)Memory used [KB]: 895
% 0.10/0.45 % (17543)Time elapsed: 0.003 s
% 0.10/0.45 % (17543)Instructions burned: 2 (million)
% 0.10/0.45 % (17543)------------------------------
% 0.10/0.45 % (17543)------------------------------
% 0.10/0.45 % (17550)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.10/0.45 % (17559)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.10/0.45 TRYING [1]
% 0.10/0.45 TRYING [2]
% 0.10/0.46 % (17558)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.10/0.47 % (17558)First to succeed.
% 0.10/0.47 % (17542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.47 % (17542)Termination reason: Unknown
% 0.10/0.47 % (17542)Termination phase: Saturation
% 0.10/0.47
% 0.10/0.47 % (17542)Memory used [KB]: 5628
% 0.10/0.47 % (17542)Time elapsed: 0.120 s
% 0.10/0.47 % (17542)Instructions burned: 7 (million)
% 0.10/0.47 % (17542)------------------------------
% 0.10/0.47 % (17542)------------------------------
% 0.10/0.47 TRYING [3]
% 0.10/0.48 % (17540)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.10/0.49 % (17557)Also succeeded, but the first one will report.
% 0.10/0.49 % (17549)Also succeeded, but the first one will report.
% 0.10/0.49 % (17558)Refutation found. Thanks to Tanya!
% 0.10/0.49 % SZS status Theorem for theBenchmark
% 0.10/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.49 % (17558)------------------------------
% 0.10/0.49 % (17558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49 % (17558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49 % (17558)Termination reason: Refutation
% 0.10/0.49
% 0.10/0.49 % (17558)Memory used [KB]: 5628
% 0.10/0.49 % (17558)Time elapsed: 0.142 s
% 0.10/0.49 % (17558)Instructions burned: 9 (million)
% 0.10/0.49 % (17558)------------------------------
% 0.10/0.49 % (17558)------------------------------
% 0.10/0.49 % (17533)Success in time 0.225 s
%------------------------------------------------------------------------------