TSTP Solution File: KRS215+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS215+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 : n015.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 17:31:07 EDT 2022
% Result : Theorem 0.53s 0.75s
% Output : Refutation 0.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 10
% Syntax : Number of formulae : 49 ( 12 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 139 ( 54 ~; 46 |; 23 &)
% ( 8 <=>; 6 =>; 0 <=; 2 <~>)
% 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 : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 117 ( 101 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f389,plain,
$false,
inference(resolution,[],[f368,f298]) ).
fof(f298,plain,
! [X1] : ~ model(X1,sK56),
inference(cnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X1] : ~ model(X1,sK56),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56])],[f55,f202]) ).
fof(f202,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK56) ),
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(f368,plain,
! [X6,X7] : model(X6,X7),
inference(resolution,[],[f215,f338]) ).
fof(f338,plain,
! [X0,X1] : ~ model(X0,not(X1)),
inference(subsumption_resolution,[],[f337,f303]) ).
fof(f303,plain,
! [X0,X1] :
( ~ model(X1,not(X0))
| ~ model(X1,X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( ( model(X1,X0)
| model(X1,not(X0)) )
& ( ~ model(X1,not(X0))
| ~ model(X1,X0) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( model(X1,X0)
<=> ~ model(X1,not(X0)) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X9,X8] :
( model(X8,X9)
<=> ~ model(X8,not(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not) ).
fof(f337,plain,
! [X0,X1] :
( model(X0,X1)
| ~ model(X0,not(X1)) ),
inference(resolution,[],[f330,f214]) ).
fof(f214,plain,
! [X2,X0,X1] :
( ~ status(X1,X0,thm)
| model(X2,X0)
| ~ model(X2,X1) ),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ( model(sK0(X0,X1),X1)
& ~ model(sK0(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f75,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) )
=> ( model(sK0(X0,X1),X1)
& ~ model(sK0(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) ) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
<=> status(X1,X0,thm) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,plain,
! [X1,X0] :
( ! [X2] :
( model(X2,X1)
=> model(X2,X0) )
<=> status(X1,X0,thm) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f330,plain,
! [X0] : status(not(X0),X0,thm),
inference(factoring,[],[f327]) ).
fof(f327,plain,
! [X6,X7] :
( status(not(X6),X7,thm)
| status(not(X6),X6,thm) ),
inference(resolution,[],[f323,f321]) ).
fof(f321,plain,
! [X0,X1] :
( ~ status(X0,X1,csa)
| status(X0,X1,thm) ),
inference(resolution,[],[f305,f259]) ).
fof(f259,plain,
~ nota(csa,thm),
inference(cnf_transformation,[],[f42]) ).
fof(f42,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(f305,plain,
! [X2,X3,X0,X1] :
( nota(X0,X1)
| ~ status(X3,X2,X0)
| status(X3,X2,X1) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0,X1] :
( ! [X2,X3] :
( status(X3,X2,X1)
| ~ status(X3,X2,X0) )
| nota(X0,X1) ),
inference(rectify,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ! [X3,X2] :
( status(X2,X3,X1)
| ~ status(X2,X3,X0) )
| nota(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f62,plain,
! [X0,X1] :
( ? [X3,X2] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
=> nota(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( nota(X0,X1)
<=> ? [X3,X2] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) ) ),
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(f323,plain,
! [X0,X1] :
( status(not(X0),X1,thm)
| status(not(X0),X0,csa) ),
inference(duplicate_literal_removal,[],[f322]) ).
fof(f322,plain,
! [X0,X1] :
( status(not(X0),X1,thm)
| status(not(X0),X1,thm)
| status(not(X0),X0,csa) ),
inference(resolution,[],[f319,f213]) ).
fof(f213,plain,
! [X0,X1] :
( model(sK0(X0,X1),X1)
| status(X1,X0,thm) ),
inference(cnf_transformation,[],[f77]) ).
fof(f319,plain,
! [X3,X4,X5] :
( ~ model(sK0(X5,not(X4)),X3)
| status(X3,X4,csa)
| status(not(X4),X5,thm) ),
inference(resolution,[],[f277,f213]) ).
fof(f277,plain,
! [X2,X0,X1] :
( ~ model(X2,not(X0))
| status(X1,X0,csa)
| ~ model(X2,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0,X1] :
( ( status(X1,X0,csa)
| ! [X2] :
( ~ model(X2,X1)
| ~ model(X2,not(X0)) ) )
& ( ( model(sK42(X0,X1),X1)
& model(sK42(X0,X1),not(X0)) )
| ~ status(X1,X0,csa) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK42])],[f171,f172]) ).
fof(f172,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X1)
& model(X3,not(X0)) )
=> ( model(sK42(X0,X1),X1)
& model(sK42(X0,X1),not(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f171,plain,
! [X0,X1] :
( ( status(X1,X0,csa)
| ! [X2] :
( ~ model(X2,X1)
| ~ model(X2,not(X0)) ) )
& ( ? [X3] :
( model(X3,X1)
& model(X3,not(X0)) )
| ~ status(X1,X0,csa) ) ),
inference(rectify,[],[f170]) ).
fof(f170,plain,
! [X1,X0] :
( ( status(X0,X1,csa)
| ! [X2] :
( ~ model(X2,X0)
| ~ model(X2,not(X1)) ) )
& ( ? [X2] :
( model(X2,X0)
& model(X2,not(X1)) )
| ~ status(X0,X1,csa) ) ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,axiom,
! [X1,X0] :
( status(X0,X1,csa)
<=> ? [X2] :
( model(X2,X0)
& model(X2,not(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',csa) ).
fof(f215,plain,
! [X0,X1] :
( model(X0,not(X1))
| model(X0,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( ~ model(X0,not(X1))
| ~ model(X0,X1) )
& ( model(X0,not(X1))
| model(X0,X1) ) ),
inference(rectify,[],[f78]) ).
fof(f78,plain,
! [X1,X0] :
( ( ~ model(X1,not(X0))
| ~ model(X1,X0) )
& ( model(X1,not(X0))
| model(X1,X0) ) ),
inference(nnf_transformation,[],[f61]) ).
fof(f61,plain,
! [X1,X0] :
( model(X1,X0)
<~> model(X1,not(X0)) ),
inference(rectify,[],[f25]) ).
fof(f25,axiom,
! [X9,X8] :
( model(X8,X9)
<~> model(X8,not(X9)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',completeness) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KRS215+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 00:48:20 EDT 2022
% 0.14/0.35 % CPUTime :
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% 0.39/0.69 % (31420)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2Mi)
% 0.39/0.69 % (31429)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/59Mi)
% 0.39/0.70 % (31421)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 0.39/0.70 % (31425)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/99Mi)
% 0.39/0.70 % (31419)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/7Mi)
% 0.39/0.71 % (31437)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/500Mi)
% 0.39/0.71 % (31428)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 (2997ds/99Mi)
% 0.39/0.71 % (31441)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/355Mi)
% 0.39/0.71 TRYING [1]
% 0.39/0.71 % (31424)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/101Mi)
% 0.39/0.71 TRYING [2]
% 0.39/0.71 % (31420)Instruction limit reached!
% 0.39/0.71 % (31420)------------------------------
% 0.39/0.71 % (31420)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.39/0.71 % (31420)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.39/0.71 % (31420)Termination reason: Unknown
% 0.39/0.71 % (31420)Termination phase: Preprocessing 3
% 0.39/0.71
% 0.39/0.71 % (31420)Memory used [KB]: 895
% 0.39/0.71 % (31420)Time elapsed: 0.003 s
% 0.39/0.71 % (31420)Instructions burned: 2 (million)
% 0.39/0.71 % (31420)------------------------------
% 0.39/0.71 % (31420)------------------------------
% 0.39/0.71 % (31433)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/138Mi)
% 0.39/0.72 % (31419)Instruction limit reached!
% 0.39/0.72 % (31419)------------------------------
% 0.39/0.72 % (31419)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.39/0.72 % (31440)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/439Mi)
% 0.39/0.72 TRYING [3]
% 0.39/0.72 % (31427)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 (2997ds/75Mi)
% 0.39/0.72 % (31412)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/191324Mi)
% 0.39/0.72 % (31436)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/482Mi)
% 0.39/0.73 % (31414)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/37Mi)
% 0.39/0.73 % (31434)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 (2997ds/498Mi)
% 0.39/0.73 % (31439)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/177Mi)
% 0.39/0.73 % (31413)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 0.39/0.73 % (31432)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/176Mi)
% 0.39/0.73 % (31435)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 (2997ds/467Mi)
% 0.39/0.73 % (31419)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.39/0.73 % (31419)Termination reason: Unknown
% 0.39/0.73 % (31419)Termination phase: Saturation
% 0.39/0.73
% 0.39/0.73 % (31419)Memory used [KB]: 5628
% 0.39/0.73 % (31419)Time elapsed: 0.091 s
% 0.39/0.73 % (31419)Instructions burned: 8 (million)
% 0.39/0.73 % (31419)------------------------------
% 0.39/0.73 % (31419)------------------------------
% 0.39/0.73 % (31415)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 0.39/0.73 % (31426)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 (2997ds/68Mi)
% 0.39/0.73 % (31418)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/51Mi)
% 0.39/0.73 % (31423)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 0.39/0.74 % (31413)Refutation not found, incomplete strategy% (31413)------------------------------
% 0.39/0.74 % (31413)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.39/0.74 % (31413)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.39/0.74 % (31413)Termination reason: Refutation not found, incomplete strategy
% 0.39/0.74
% 0.39/0.74 % (31413)Memory used [KB]: 5628
% 0.39/0.74 % (31413)Time elapsed: 0.125 s
% 0.39/0.74 % (31413)Instructions burned: 8 (million)
% 0.39/0.74 % (31413)------------------------------
% 0.39/0.74 % (31413)------------------------------
% 0.49/0.74 % (31431)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 0.49/0.74 TRYING [1]
% 0.49/0.74 TRYING [1]
% 0.49/0.74 % (31435)First to succeed.
% 0.49/0.74 % (31430)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/100Mi)
% 0.53/0.75 % (31422)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 0.53/0.75 TRYING [2]
% 0.53/0.75 % (31435)Refutation found. Thanks to Tanya!
% 0.53/0.75 % SZS status Theorem for theBenchmark
% 0.53/0.75 % SZS output start Proof for theBenchmark
% See solution above
% 0.53/0.75 % (31435)------------------------------
% 0.53/0.75 % (31435)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.53/0.75 % (31435)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.53/0.75 % (31435)Termination reason: Refutation
% 0.53/0.75
% 0.53/0.75 % (31435)Memory used [KB]: 5628
% 0.53/0.75 % (31435)Time elapsed: 0.124 s
% 0.53/0.75 % (31435)Instructions burned: 7 (million)
% 0.53/0.75 % (31435)------------------------------
% 0.53/0.75 % (31435)------------------------------
% 0.53/0.75 % (31246)Success in time 0.388 s
%------------------------------------------------------------------------------