TSTP Solution File: KRS268+1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS268+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 : n008.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 17:31:14 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 17
% Syntax : Number of formulae : 62 ( 15 unt; 0 def)
% Number of atoms : 200 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 225 ( 87 ~; 55 |; 59 &)
% ( 10 <=>; 14 =>; 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 : 159 ( 96 !; 63 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f740,plain,
$false,
inference(avatar_sat_refutation,[],[f400,f413,f739]) ).
fof(f739,plain,
~ spl59_4,
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f738,plain,
( $false
| ~ spl59_4 ),
inference(subsumption_resolution,[],[f730,f249]) ).
fof(f249,plain,
~ mighta(wca,thm),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
~ mighta(wca,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(wca,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(wca,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wca_thm) ).
fof(f730,plain,
( mighta(wca,thm)
| ~ spl59_4 ),
inference(resolution,[],[f652,f325]) ).
fof(f325,plain,
! [X1] : status(sK41,X1,thm),
inference(resolution,[],[f273,f278]) ).
fof(f278,plain,
! [X1] : ~ model(X1,sK41),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X1] : ~ model(X1,sK41),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41])],[f57,f172]) ).
fof(f172,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK41) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
? [X0] :
! [X1] : ~ model(X1,X0),
inference(rectify,[],[f29]) ).
fof(f29,axiom,
? [X9] :
! [X8] : ~ model(X8,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contradiction) ).
fof(f273,plain,
! [X0,X1] :
( model(sK37(X0,X1),X1)
| status(X1,X0,thm) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0,X1] :
( ( status(X1,X0,thm)
| ( model(sK37(X0,X1),X1)
& ~ model(sK37(X0,X1),X0) ) )
& ( ! [X3] :
( ~ model(X3,X1)
| model(X3,X0) )
| ~ status(X1,X0,thm) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f162,f163]) ).
fof(f163,plain,
! [X0,X1] :
( ? [X2] :
( model(X2,X1)
& ~ model(X2,X0) )
=> ( model(sK37(X0,X1),X1)
& ~ model(sK37(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f162,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,[],[f161]) ).
fof(f161,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,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( status(X1,X0,thm)
<=> ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,plain,
! [X1,X0] :
( ! [X2] :
( model(X2,X1)
=> model(X2,X0) )
<=> status(X1,X0,thm) ),
inference(rectify,[],[f5]) ).
fof(f5,axiom,
! [X1,X0] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X0)
=> model(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm) ).
fof(f652,plain,
( ! [X1] :
( ~ status(sK41,sK26,X1)
| mighta(wca,X1) )
| ~ spl59_4 ),
inference(resolution,[],[f601,f248]) ).
fof(f248,plain,
! [X2,X3,X0,X1] :
( ~ status(X3,X2,X0)
| ~ status(X3,X2,X1)
| mighta(X0,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X3,X2,X0)
| ~ status(X3,X2,X1) )
| mighta(X0,X1) ),
inference(rectify,[],[f67]) ).
fof(f67,plain,
! [X0,X1] :
( ! [X3,X2] :
( ~ status(X2,X3,X0)
| ~ status(X2,X3,X1) )
| mighta(X0,X1) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( ? [X3,X2] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f64]) ).
fof(f64,plain,
! [X1,X0] :
( ? [X3,X2] :
( status(X2,X3,X0)
& status(X2,X3,X1) )
<=> mighta(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( mighta(X6,X7)
<=> ? [X0,X1] :
( status(X0,X1,X7)
& status(X0,X1,X6) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta) ).
fof(f601,plain,
( status(sK41,sK26,wca)
| ~ spl59_4 ),
inference(resolution,[],[f363,f278]) ).
fof(f363,plain,
( ! [X15] :
( status(X15,sK26,wca)
| model(sK38(X15),X15) )
| ~ spl59_4 ),
inference(avatar_component_clause,[],[f362]) ).
fof(f362,plain,
( spl59_4
<=> ! [X15] :
( status(X15,sK26,wca)
| model(sK38(X15),X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_4])]) ).
fof(f413,plain,
~ spl59_3,
inference(avatar_contradiction_clause,[],[f410]) ).
fof(f410,plain,
( $false
| ~ spl59_3 ),
inference(resolution,[],[f360,f261]) ).
fof(f261,plain,
~ model(sK27,sK26),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
( ! [X2] :
( model(X2,sK26)
| ~ model(X2,sK25) )
& ~ model(sK27,sK26)
& ~ model(sK28,sK25)
& model(sK28,sK26)
& model(sK29,sK25) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26,sK27,sK28,sK29])],[f138,f142,f141,f140,f139]) ).
fof(f139,plain,
( ? [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
& ? [X3] : ~ model(X3,X1)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : model(X5,X0) )
=> ( ! [X2] :
( model(X2,sK26)
| ~ model(X2,sK25) )
& ? [X3] : ~ model(X3,sK26)
& ? [X4] :
( ~ model(X4,sK25)
& model(X4,sK26) )
& ? [X5] : model(X5,sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f140,plain,
( ? [X3] : ~ model(X3,sK26)
=> ~ model(sK27,sK26) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
( ? [X4] :
( ~ model(X4,sK25)
& model(X4,sK26) )
=> ( ~ model(sK28,sK25)
& model(sK28,sK26) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
( ? [X5] : model(X5,sK25)
=> model(sK29,sK25) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
? [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
& ? [X3] : ~ model(X3,X1)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ? [X5] : model(X5,X0) ),
inference(rectify,[],[f76]) ).
fof(f76,plain,
? [X0,X1] :
( ! [X4] :
( model(X4,X1)
| ~ model(X4,X0) )
& ? [X2] : ~ model(X2,X1)
& ? [X3] :
( ~ model(X3,X0)
& model(X3,X1) )
& ? [X5] : model(X5,X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,plain,
? [X1,X0] :
( ? [X5] : model(X5,X0)
& ? [X2] : ~ model(X2,X1)
& ! [X4] :
( model(X4,X0)
=> model(X4,X1) )
& ? [X3] :
( ~ model(X3,X0)
& model(X3,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
? [X0,X1] :
( ? [X5] : ~ model(X5,X1)
& ? [X4] :
( ~ model(X4,X0)
& model(X4,X1) )
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) )
& ? [X2] : model(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mixed_pair) ).
fof(f360,plain,
( ! [X14] : model(X14,sK26)
| ~ spl59_3 ),
inference(avatar_component_clause,[],[f359]) ).
fof(f359,plain,
( spl59_3
<=> ! [X14] : model(X14,sK26) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_3])]) ).
fof(f400,plain,
( spl59_3
| spl59_4 ),
inference(avatar_split_clause,[],[f355,f362,f359]) ).
fof(f355,plain,
! [X18,X19] :
( model(sK38(X19),X19)
| status(X19,sK26,wca)
| model(X18,sK26) ),
inference(resolution,[],[f277,f320]) ).
fof(f320,plain,
model(sK29,sK26),
inference(resolution,[],[f262,f258]) ).
fof(f258,plain,
model(sK29,sK25),
inference(cnf_transformation,[],[f143]) ).
fof(f262,plain,
! [X2] :
( ~ model(X2,sK25)
| model(X2,sK26) ),
inference(cnf_transformation,[],[f143]) ).
fof(f277,plain,
! [X2,X3,X0,X1] :
( ~ model(X3,X0)
| model(X2,X0)
| model(sK38(X1),X1)
| status(X1,X0,wca) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( status(X1,X0,wca)
| ! [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X0)
| model(sK38(X1),X1) )
& ( ( ~ model(sK39(X0),X0)
& model(sK40(X0),X0)
& ! [X7] : ~ model(X7,X1) )
| ~ status(X1,X0,wca) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40])],[f167,f170,f169,f168]) ).
fof(f168,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK38(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0] :
( ? [X5] : ~ model(X5,X0)
=> ~ model(sK39(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
! [X0] :
( ? [X6] : model(X6,X0)
=> model(sK40(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0,X1] :
( ( status(X1,X0,wca)
| ! [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X0)
| ? [X4] : model(X4,X1) )
& ( ( ? [X5] : ~ model(X5,X0)
& ? [X6] : model(X6,X0)
& ! [X7] : ~ model(X7,X1) )
| ~ status(X1,X0,wca) ) ),
inference(rectify,[],[f166]) ).
fof(f166,plain,
! [X0,X1] :
( ( status(X1,X0,wca)
| ! [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X0)
| ? [X4] : model(X4,X1) )
& ( ( ? [X2] : ~ model(X2,X0)
& ? [X3] : model(X3,X0)
& ! [X4] : ~ model(X4,X1) )
| ~ status(X1,X0,wca) ) ),
inference(flattening,[],[f165]) ).
fof(f165,plain,
! [X0,X1] :
( ( status(X1,X0,wca)
| ! [X2] : model(X2,X0)
| ! [X3] : ~ model(X3,X0)
| ? [X4] : model(X4,X1) )
& ( ( ? [X2] : ~ model(X2,X0)
& ? [X3] : model(X3,X0)
& ! [X4] : ~ model(X4,X1) )
| ~ status(X1,X0,wca) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( status(X1,X0,wca)
<=> ( ? [X2] : ~ model(X2,X0)
& ? [X3] : model(X3,X0)
& ! [X4] : ~ model(X4,X1) ) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( status(X1,X0,wca)
<=> ( ? [X2] : ~ model(X2,X0)
& ~ ? [X4] : model(X4,X1)
& ? [X3] : model(X3,X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X1,X0] :
( status(X0,X1,wca)
<=> ( ? [X4] : ~ model(X4,X1)
& ? [X3] : model(X3,X1)
& ~ ? [X2] : model(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wca) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS268+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 00:44:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % (3847)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (3855)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)
% 0.20/0.50 % (3873)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.50 % (3849)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)
% 0.20/0.51 % (3850)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)
% 0.20/0.52 % (3868)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)
% 0.20/0.52 % (3859)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)
% 0.20/0.52 % (3843)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)
% 0.20/0.52 % (3854)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52 % (3856)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.53 % (3873)First to succeed.
% 0.20/0.53 % (3867)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)
% 0.20/0.53 % (3861)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.53 % (3851)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53 % (3845)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53 % (3865)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.53 % (3848)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (3845)Refutation not found, incomplete strategy% (3845)------------------------------
% 0.20/0.53 % (3845)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53 % (3845)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53 % (3845)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.53
% 0.20/0.53 % (3845)Memory used [KB]: 5628
% 0.20/0.53 % (3845)Time elapsed: 0.130 s
% 0.20/0.53 % (3845)Instructions burned: 6 (million)
% 0.20/0.53 % (3845)------------------------------
% 0.20/0.53 % (3845)------------------------------
% 0.20/0.53 TRYING [1]
% 0.20/0.53 % (3857)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54 % (3860)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)
% 0.20/0.54 % (3858)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)
% 0.20/0.54 % (3869)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 TRYING [2]
% 0.20/0.55 % (3873)Refutation found. Thanks to Tanya!
% 0.20/0.55 % SZS status Theorem for theBenchmark
% 0.20/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.55 % (3873)------------------------------
% 0.20/0.55 % (3873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (3873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (3873)Termination reason: Refutation
% 0.20/0.55
% 0.20/0.55 % (3873)Memory used [KB]: 5756
% 0.20/0.55 % (3873)Time elapsed: 0.128 s
% 0.20/0.55 % (3873)Instructions burned: 15 (million)
% 0.20/0.55 % (3873)------------------------------
% 0.20/0.55 % (3873)------------------------------
% 0.20/0.55 % (3839)Success in time 0.197 s
%------------------------------------------------------------------------------