TSTP Solution File: KRS202+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS202+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 : n006.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 1.68s 0.60s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 16
% Syntax : Number of formulae : 55 ( 13 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 173 ( 65 ~; 54 |; 33 &)
% ( 9 <=>; 12 =>; 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 : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 152 ( 108 !; 44 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f485,plain,
$false,
inference(resolution,[],[f476,f227]) ).
fof(f227,plain,
~ model(sK12,sK10),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
( model(sK13,sK10)
& ~ model(sK12,sK10)
& model(sK12,sK11) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13])],[f97,f99,f98]) ).
fof(f98,plain,
( ? [X0,X1,X2] :
( ? [X3] : model(X3,X0)
& ~ model(X2,X0)
& model(X2,X1) )
=> ( ? [X3] : model(X3,sK10)
& ~ model(sK12,sK10)
& model(sK12,sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
( ? [X3] : model(X3,sK10)
=> model(sK13,sK10) ),
introduced(choice_axiom,[]) ).
fof(f97,plain,
? [X0,X1,X2] :
( ? [X3] : model(X3,X0)
& ~ model(X2,X0)
& model(X2,X1) ),
inference(rectify,[],[f32]) ).
fof(f32,axiom,
? [X1,X0,X2] :
( ? [X3] : model(X3,X1)
& ~ model(X2,X1)
& model(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',non_thm_spt) ).
fof(f476,plain,
! [X0] : model(X0,sK10),
inference(subsumption_resolution,[],[f449,f246]) ).
fof(f246,plain,
! [X1] : model(X1,sK26),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X1] : model(X1,sK26),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f44,f126]) ).
fof(f126,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK26) ),
introduced(choice_axiom,[]) ).
fof(f44,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(f449,plain,
! [X0] :
( ~ model(X0,sK26)
| model(X0,sK10) ),
inference(resolution,[],[f433,f246]) ).
fof(f433,plain,
! [X36,X37,X35] :
( ~ model(X37,X36)
| ~ model(X35,X36)
| model(X35,sK10) ),
inference(resolution,[],[f422,f306]) ).
fof(f306,plain,
model(sK2(sK10),sK10),
inference(resolution,[],[f302,f228]) ).
fof(f228,plain,
model(sK13,sK10),
inference(cnf_transformation,[],[f100]) ).
fof(f302,plain,
! [X0,X1] :
( ~ model(X1,X0)
| model(sK2(X0),X0) ),
inference(resolution,[],[f209,f210]) ).
fof(f210,plain,
! [X2,X0,X1] :
( ~ status(X1,X0,cax)
| ~ model(X2,X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X1)
| ~ status(X1,X0,cax) )
& ( status(X1,X0,cax)
| model(sK2(X1),X1) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f77,f78]) ).
fof(f78,plain,
! [X1] :
( ? [X3] : model(X3,X1)
=> model(sK2(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0,X1] :
( ( ! [X2] : ~ model(X2,X1)
| ~ status(X1,X0,cax) )
& ( status(X1,X0,cax)
| ? [X3] : model(X3,X1) ) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
! [X1,X0] :
( ( ! [X2] : ~ model(X2,X0)
| ~ status(X0,X1,cax) )
& ( status(X0,X1,cax)
| ? [X2] : model(X2,X0) ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f67,plain,
! [X1,X0] :
( ! [X2] : ~ model(X2,X0)
<=> status(X0,X1,cax) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( ~ ? [X2] : model(X2,X0)
<=> status(X0,X1,cax) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cax) ).
fof(f209,plain,
! [X0,X1] :
( status(X1,X0,cax)
| model(sK2(X1),X1) ),
inference(cnf_transformation,[],[f79]) ).
fof(f422,plain,
! [X2,X3,X0,X1,X4] :
( ~ model(X3,X2)
| model(X0,X2)
| ~ model(X0,X1)
| ~ model(X4,X1) ),
inference(resolution,[],[f421,f241]) ).
fof(f241,plain,
! [X0,X1,X6,X7] :
( status(X1,X0,esa)
| ~ model(X7,X0)
| ~ model(X6,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0,X1] :
( ( ( ( model(sK19(X0),X0)
| ! [X3] : ~ model(X3,X1) )
& ( model(sK20(X1),X1)
| ! [X5] : ~ model(X5,X0) ) )
| ~ status(X1,X0,esa) )
& ( status(X1,X0,esa)
| ( ( ! [X6] : ~ model(X6,X1)
| ! [X7] : ~ model(X7,X0) )
& ( model(sK21(X1),X1)
| model(sK22(X0),X0) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19,sK20,sK21,sK22])],[f115,f119,f118,f117,f116]) ).
fof(f116,plain,
! [X0] :
( ? [X2] : model(X2,X0)
=> model(sK19(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f117,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK20(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f118,plain,
! [X1] :
( ? [X8] : model(X8,X1)
=> model(sK21(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f119,plain,
! [X0] :
( ? [X9] : model(X9,X0)
=> model(sK22(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f115,plain,
! [X0,X1] :
( ( ( ( ? [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X1) )
& ( ? [X4] : model(X4,X1)
| ! [X5] : ~ model(X5,X0) ) )
| ~ status(X1,X0,esa) )
& ( status(X1,X0,esa)
| ( ( ! [X6] : ~ model(X6,X1)
| ! [X7] : ~ model(X7,X0) )
& ( ? [X8] : model(X8,X1)
| ? [X9] : model(X9,X0) ) ) ) ),
inference(rectify,[],[f114]) ).
fof(f114,plain,
! [X1,X0] :
( ( ( ( ? [X3] : model(X3,X1)
| ! [X2] : ~ model(X2,X0) )
& ( ? [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X1) ) )
| ~ status(X0,X1,esa) )
& ( status(X0,X1,esa)
| ( ( ! [X2] : ~ model(X2,X0)
| ! [X3] : ~ model(X3,X1) )
& ( ? [X2] : model(X2,X0)
| ? [X3] : model(X3,X1) ) ) ) ),
inference(nnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X1,X0] :
( ( ? [X3] : model(X3,X1)
<=> ? [X2] : model(X2,X0) )
<=> status(X0,X1,esa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',esa) ).
fof(f421,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,esa)
| ~ model(X2,X0)
| model(X2,X1) ),
inference(resolution,[],[f420,f260]) ).
fof(f260,plain,
! [X3,X0,X1] :
( ~ status(X1,X0,thm)
| ~ model(X3,X1)
| model(X3,X0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ( model(sK35(X0,X1),X1)
& ~ model(sK35(X0,X1),X0) ) )
& ( ! [X3] :
( ~ model(X3,X1)
| model(X3,X0) )
| ~ status(X1,X0,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f148,f149]) ).
fof(f149,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) )
=> ( model(sK35(X0,X1),X1)
& ~ model(sK35(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f148,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,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) ) )
& ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( status(X1,X0,thm)
<=> ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) ) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,plain,
! [X1,X0] :
( status(X1,X0,thm)
<=> ! [X2] :
( model(X2,X1)
=> model(X2,X0) ) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( ! [X2] :
( model(X2,X0)
=> model(X2,X1) )
<=> status(X0,X1,thm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f420,plain,
! [X0,X1] :
( status(X0,X1,thm)
| ~ status(X0,X1,esa) ),
inference(resolution,[],[f263,f259]) ).
fof(f259,plain,
~ nota(esa,thm),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
~ nota(esa,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(esa,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(esa,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_esa_thm) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( nota(X0,X1)
| ~ status(X2,X3,X0)
| status(X2,X3,X1) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) )
| nota(X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
=> nota(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ? [X3,X2] :
( status(X2,X3,X0)
& ~ status(X2,X3,X1) )
<=> 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/sandbox2/benchmark/theBenchmark.p',nota) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS202+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
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 00:35:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.54 % (30792)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)
% 1.54/0.55 % (30794)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)
% 1.54/0.55 % (30793)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)
% 1.54/0.55 % (30786)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.54/0.55 % (30801)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)
% 1.54/0.56 % (30785)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.54/0.56 % (30786)Instruction limit reached!
% 1.54/0.56 % (30786)------------------------------
% 1.54/0.56 % (30786)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.56 % (30786)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.56 % (30786)Termination reason: Unknown
% 1.54/0.56 % (30786)Termination phase: Preprocessing 2
% 1.54/0.56
% 1.54/0.56 % (30786)Memory used [KB]: 895
% 1.54/0.56 % (30786)Time elapsed: 0.003 s
% 1.54/0.56 % (30786)Instructions burned: 2 (million)
% 1.54/0.56 % (30786)------------------------------
% 1.54/0.56 % (30786)------------------------------
% 1.54/0.56 % (30800)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)
% 1.54/0.56 % (30784)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)
% 1.54/0.56 % (30802)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.68/0.57 % (30785)Instruction limit reached!
% 1.68/0.57 % (30785)------------------------------
% 1.68/0.57 % (30785)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.57 TRYING [1]
% 1.68/0.58 % (30785)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.58 % (30785)Termination reason: Unknown
% 1.68/0.58 % (30785)Termination phase: Saturation
% 1.68/0.58
% 1.68/0.58 % (30785)Memory used [KB]: 5628
% 1.68/0.58 % (30785)Time elapsed: 0.144 s
% 1.68/0.58 % (30785)Instructions burned: 7 (million)
% 1.68/0.58 % (30785)------------------------------
% 1.68/0.58 % (30785)------------------------------
% 1.68/0.59 TRYING [2]
% 1.68/0.59 TRYING [3]
% 1.68/0.59 % (30803)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.68/0.60 % (30800)First to succeed.
% 1.68/0.60 % (30800)Refutation found. Thanks to Tanya!
% 1.68/0.60 % SZS status Theorem for theBenchmark
% 1.68/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.60 % (30800)------------------------------
% 1.68/0.60 % (30800)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.68/0.60 % (30800)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.68/0.60 % (30800)Termination reason: Refutation
% 1.68/0.60
% 1.68/0.60 % (30800)Memory used [KB]: 1151
% 1.68/0.60 % (30800)Time elapsed: 0.164 s
% 1.68/0.60 % (30800)Instructions burned: 13 (million)
% 1.68/0.60 % (30800)------------------------------
% 1.68/0.60 % (30800)------------------------------
% 1.68/0.60 % (30777)Success in time 0.252 s
%------------------------------------------------------------------------------