TSTP Solution File: KRS260+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS260+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 : n016.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 17:31:13 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 61 ( 14 unt; 0 def)
% Number of atoms : 225 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 256 ( 92 ~; 64 |; 74 &)
% ( 10 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 164 ( 103 !; 61 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f702,plain,
$false,
inference(avatar_sat_refutation,[],[f653,f671,f701]) ).
fof(f701,plain,
~ spl59_4,
inference(avatar_contradiction_clause,[],[f700]) ).
fof(f700,plain,
( $false
| ~ spl59_4 ),
inference(subsumption_resolution,[],[f698,f248]) ).
fof(f248,plain,
~ mighta(wec,thm),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
~ mighta(wec,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(wec,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(wec,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_wec_thm) ).
fof(f698,plain,
( mighta(wec,thm)
| ~ spl59_4 ),
inference(resolution,[],[f603,f327]) ).
fof(f327,plain,
! [X4,X5] :
( ~ status(X5,sK20,X4)
| mighta(X4,thm) ),
inference(resolution,[],[f240,f317]) ).
fof(f317,plain,
! [X1] : status(X1,sK20,thm),
inference(resolution,[],[f243,f237]) ).
fof(f237,plain,
! [X1] : model(X1,sK20),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X1] : model(X1,sK20),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20])],[f56,f115]) ).
fof(f115,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK20) ),
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(f243,plain,
! [X0,X1] :
( ~ model(sK21(X0,X1),X0)
| status(X1,X0,thm) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ( ~ model(sK21(X0,X1),X0)
& model(sK21(X0,X1),X1) ) )
& ( ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ~ status(X1,X0,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK21])],[f120,f121]) ).
fof(f121,plain,
! [X0,X1] :
( ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) )
=> ( ~ model(sK21(X0,X1),X0)
& model(sK21(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f120,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) )
& ( ! [X3] :
( model(X3,X0)
| ~ model(X3,X1) )
| ~ status(X1,X0,thm) ) ),
inference(rectify,[],[f119]) ).
fof(f119,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ? [X2] :
( ~ model(X2,X0)
& model(X2,X1) ) )
& ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
| ~ status(X1,X0,thm) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X0,X1] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) ) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,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(f240,plain,
! [X2,X3,X0,X1] :
( ~ status(X3,X2,X1)
| mighta(X0,X1)
| ~ status(X3,X2,X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X3,X2,X1)
| ~ status(X3,X2,X0) ) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
! [X1,X0] :
( mighta(X1,X0)
| ! [X3,X2] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) ) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
=> mighta(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
<=> mighta(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X7,X6] :
( mighta(X6,X7)
<=> ? [X0,X1] :
( status(X0,X1,X7)
& status(X0,X1,X6) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
fof(f603,plain,
( status(sK41,sK20,wec)
| ~ spl59_4 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f601,plain,
( spl59_4
<=> status(sK41,sK20,wec) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_4])]) ).
fof(f671,plain,
~ spl59_3,
inference(avatar_contradiction_clause,[],[f670]) ).
fof(f670,plain,
( $false
| ~ spl59_3 ),
inference(resolution,[],[f599,f268]) ).
fof(f268,plain,
~ model(sK44,sK41),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
( ! [X2] :
( model(X2,sK41)
| ~ model(X2,sK40) )
& model(sK42,sK41)
& ~ model(sK42,sK40)
& model(sK43,sK40)
& ~ model(sK44,sK41) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41,sK42,sK43,sK44])],[f162,f166,f165,f164,f163]) ).
fof(f163,plain,
( ? [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
& ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) )
& ? [X4] : model(X4,X0)
& ? [X5] : ~ model(X5,X1) )
=> ( ! [X2] :
( model(X2,sK41)
| ~ model(X2,sK40) )
& ? [X3] :
( model(X3,sK41)
& ~ model(X3,sK40) )
& ? [X4] : model(X4,sK40)
& ? [X5] : ~ model(X5,sK41) ) ),
introduced(choice_axiom,[]) ).
fof(f164,plain,
( ? [X3] :
( model(X3,sK41)
& ~ model(X3,sK40) )
=> ( model(sK42,sK41)
& ~ model(sK42,sK40) ) ),
introduced(choice_axiom,[]) ).
fof(f165,plain,
( ? [X4] : model(X4,sK40)
=> model(sK43,sK40) ),
introduced(choice_axiom,[]) ).
fof(f166,plain,
( ? [X5] : ~ model(X5,sK41)
=> ~ model(sK44,sK41) ),
introduced(choice_axiom,[]) ).
fof(f162,plain,
? [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
& ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) )
& ? [X4] : model(X4,X0)
& ? [X5] : ~ model(X5,X1) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
? [X1,X0] :
( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
& ? [X4] :
( model(X4,X0)
& ~ model(X4,X1) )
& ? [X3] : model(X3,X1)
& ? [X5] : ~ model(X5,X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,plain,
? [X1,X0] :
( ! [X2] :
( model(X2,X1)
=> model(X2,X0) )
& ? [X4] :
( model(X4,X0)
& ~ model(X4,X1) )
& ? [X3] : model(X3,X1)
& ? [X5] : ~ model(X5,X0) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
? [X1,X0] :
( ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] : model(X2,X0)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : ~ model(X5,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixed_pair) ).
fof(f599,plain,
( ! [X21] : model(X21,sK41)
| ~ spl59_3 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f598,plain,
( spl59_3
<=> ! [X21] : model(X21,sK41) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_3])]) ).
fof(f653,plain,
( spl59_3
| spl59_4 ),
inference(avatar_split_clause,[],[f594,f601,f598]) ).
fof(f594,plain,
! [X19] :
( status(sK41,sK20,wec)
| model(X19,sK41) ),
inference(resolution,[],[f360,f271]) ).
fof(f271,plain,
model(sK42,sK41),
inference(cnf_transformation,[],[f167]) ).
fof(f360,plain,
! [X2,X0,X1] :
( ~ model(X2,X1)
| status(X1,sK20,wec)
| model(X0,X1) ),
inference(subsumption_resolution,[],[f359,f237]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ model(X0,sK20)
| ~ model(X2,X1)
| model(X0,X1)
| status(X1,sK20,wec) ),
inference(resolution,[],[f209,f237]) ).
fof(f209,plain,
! [X0,X1,X6,X7] :
( ~ model(sK2(X0,X1),X0)
| model(X6,X1)
| ~ model(X6,X0)
| ~ model(X7,X1)
| status(X1,X0,wec) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
& model(sK0(X0,X1),X0)
& ~ model(sK0(X0,X1),X1)
& model(sK1(X1),X1) )
| ~ status(X1,X0,wec) )
& ( status(X1,X0,wec)
| ( ~ model(sK2(X0,X1),X0)
& model(sK2(X0,X1),X1) )
| ! [X6] :
( ~ model(X6,X0)
| model(X6,X1) )
| ! [X7] : ~ model(X7,X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f75,f78,f77,f76]) ).
fof(f76,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
=> ( model(sK0(X0,X1),X0)
& ~ model(sK0(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK1(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f78,plain,
! [X0,X1] :
( ? [X5] :
( ~ model(X5,X0)
& model(X5,X1) )
=> ( ~ model(sK2(X0,X1),X0)
& model(sK2(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ( ( ! [X2] :
( model(X2,X0)
| ~ model(X2,X1) )
& ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
& ? [X4] : model(X4,X1) )
| ~ status(X1,X0,wec) )
& ( status(X1,X0,wec)
| ? [X5] :
( ~ model(X5,X0)
& model(X5,X1) )
| ! [X6] :
( ~ model(X6,X0)
| model(X6,X1) )
| ! [X7] : ~ model(X7,X1) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( ( ! [X4] :
( model(X4,X0)
| ~ model(X4,X1) )
& ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
& ? [X2] : model(X2,X1) )
| ~ status(X1,X0,wec) )
& ( status(X1,X0,wec)
| ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
| ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ! [X2] : ~ model(X2,X1) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( ( ! [X4] :
( model(X4,X0)
| ~ model(X4,X1) )
& ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
& ? [X2] : model(X2,X1) )
| ~ status(X1,X0,wec) )
& ( status(X1,X0,wec)
| ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
| ! [X3] :
( ~ model(X3,X0)
| model(X3,X1) )
| ! [X2] : ~ model(X2,X1) ) ),
inference(nnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ( ! [X4] :
( model(X4,X0)
| ~ model(X4,X1) )
& ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
& ? [X2] : model(X2,X1) )
<=> status(X1,X0,wec) ),
inference(ennf_transformation,[],[f60]) ).
fof(f60,plain,
! [X1,X0] :
( status(X1,X0,wec)
<=> ( ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
& ! [X4] :
( model(X4,X1)
=> model(X4,X0) )
& ? [X2] : model(X2,X1) ) ),
inference(rectify,[],[f8]) ).
fof(f8,axiom,
! [X1,X0] :
( ( ? [X2] : model(X2,X0)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) ) )
<=> status(X0,X1,wec) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wec) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS260+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 30 01:03:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.49 % (9533)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.49 % (9551)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.50 % (9543)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 (2999ds/176Mi)
% 0.19/0.50 % (9545)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)
% 0.19/0.50 % (9537)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)
% 0.19/0.50 % (9529)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)
% 0.19/0.51 % (9543)First to succeed.
% 0.19/0.52 TRYING [1]
% 0.19/0.52 TRYING [2]
% 0.19/0.52 % (9534)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (9525)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 (2999ds/37Mi)
% 0.19/0.52 % (9523)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 (2999ds/191324Mi)
% 0.19/0.52 % (9528)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)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (9535)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.53 % (9547)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.53 % (9543)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Theorem for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (9543)------------------------------
% 0.19/0.53 % (9543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9543)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (9543)Memory used [KB]: 5756
% 0.19/0.53 % (9543)Time elapsed: 0.113 s
% 0.19/0.53 % (9543)Instructions burned: 13 (million)
% 0.19/0.53 % (9543)------------------------------
% 0.19/0.53 % (9543)------------------------------
% 0.19/0.53 % (9519)Success in time 0.185 s
%------------------------------------------------------------------------------