TSTP Solution File: KRS266+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS266+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 : n005.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 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 44 ( 14 unt; 0 def)
% Number of atoms : 119 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 126 ( 51 ~; 37 |; 22 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 119 ( 91 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f411,plain,
$false,
inference(resolution,[],[f405,f296]) ).
fof(f296,plain,
! [X1] : ~ model(X1,sK50),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X1] : ~ model(X1,sK50),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f39,f196]) ).
fof(f196,plain,
( ? [X0] :
! [X1] : ~ model(X1,X0)
=> ! [X1] : ~ model(X1,sK50) ),
introduced(choice_axiom,[]) ).
fof(f39,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(f405,plain,
! [X0] : model(sK22(X0),X0),
inference(subsumption_resolution,[],[f402,f215]) ).
fof(f215,plain,
! [X1] : model(X1,sK0),
inference(cnf_transformation,[],[f77]) ).
fof(f77,plain,
! [X1] : model(X1,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f35,f76]) ).
fof(f76,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f35,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(f402,plain,
! [X0,X1] :
( ~ model(X1,sK0)
| model(sK22(X0),X0) ),
inference(resolution,[],[f375,f215]) ).
fof(f375,plain,
! [X3,X4,X5] :
( ~ model(sK54(X4,X5),X4)
| model(sK22(X5),X5)
| ~ model(X3,X4) ),
inference(resolution,[],[f371,f303]) ).
fof(f303,plain,
! [X0,X1] :
( status(X1,X0,thm)
| ~ model(sK54(X0,X1),X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
| ~ status(X1,X0,thm) )
& ( status(X1,X0,thm)
| ( model(sK54(X0,X1),X1)
& ~ model(sK54(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54])],[f208,f209]) ).
fof(f209,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X1)
& ~ model(X3,X0) )
=> ( model(sK54(X0,X1),X1)
& ~ model(sK54(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f208,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,[],[f207]) ).
fof(f207,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,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
<=> status(X1,X0,thm) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( ! [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/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f371,plain,
! [X2,X0,X1] :
( ~ status(X0,X2,thm)
| ~ model(X1,X2)
| model(sK22(X0),X0) ),
inference(resolution,[],[f247,f365]) ).
fof(f365,plain,
! [X0,X1] :
( ~ status(X0,X1,sca)
| ~ status(X0,X1,thm) ),
inference(resolution,[],[f229,f256]) ).
fof(f256,plain,
~ mighta(sca,thm),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
~ mighta(sca,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(sca,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(sca,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta_sca_thm) ).
fof(f229,plain,
! [X2,X3,X0,X1] :
( mighta(X0,X1)
| ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f99,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
! [X1,X0] :
( mighta(X1,X0)
| ! [X3,X2] :
( ~ status(X3,X2,X0)
| ~ status(X3,X2,X1) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f64,plain,
! [X0,X1] :
( ? [X2,X3] :
( status(X3,X2,X1)
& status(X3,X2,X0) )
=> mighta(X1,X0) ),
inference(unused_predicate_definition_removal,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( mighta(X1,X0)
<=> ? [X2,X3] :
( status(X3,X2,X1)
& status(X3,X2,X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X7,X6] :
( ? [X1,X0] :
( status(X0,X1,X6)
& status(X0,X1,X7) )
<=> mighta(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mighta) ).
fof(f247,plain,
! [X2,X0,X1] :
( status(X0,X1,sca)
| model(sK22(X0),X0)
| ~ model(X2,X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0,X1] :
( ( status(X0,X1,sca)
| ! [X2] : ~ model(X2,X1)
| model(sK22(X0),X0) )
& ( ( model(sK23(X1),X1)
& ! [X5] : ~ model(X5,X0) )
| ~ status(X0,X1,sca) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f125,f127,f126]) ).
fof(f126,plain,
! [X0] :
( ? [X3] : model(X3,X0)
=> model(sK22(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f127,plain,
! [X1] :
( ? [X4] : model(X4,X1)
=> model(sK23(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f125,plain,
! [X0,X1] :
( ( status(X0,X1,sca)
| ! [X2] : ~ model(X2,X1)
| ? [X3] : model(X3,X0) )
& ( ( ? [X4] : model(X4,X1)
& ! [X5] : ~ model(X5,X0) )
| ~ status(X0,X1,sca) ) ),
inference(rectify,[],[f124]) ).
fof(f124,plain,
! [X1,X0] :
( ( status(X1,X0,sca)
| ! [X3] : ~ model(X3,X0)
| ? [X2] : model(X2,X1) )
& ( ( ? [X3] : model(X3,X0)
& ! [X2] : ~ model(X2,X1) )
| ~ status(X1,X0,sca) ) ),
inference(flattening,[],[f123]) ).
fof(f123,plain,
! [X1,X0] :
( ( status(X1,X0,sca)
| ! [X3] : ~ model(X3,X0)
| ? [X2] : model(X2,X1) )
& ( ( ? [X3] : model(X3,X0)
& ! [X2] : ~ model(X2,X1) )
| ~ status(X1,X0,sca) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f65,plain,
! [X1,X0] :
( status(X1,X0,sca)
<=> ( ? [X3] : model(X3,X0)
& ! [X2] : ~ model(X2,X1) ) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,plain,
! [X0,X1] :
( ( ? [X3] : model(X3,X0)
& ~ ? [X2] : model(X2,X1) )
<=> status(X1,X0,sca) ),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X1,X0] :
( ( ~ ? [X2] : model(X2,X0)
& ? [X3] : model(X3,X1) )
<=> status(X0,X1,sca) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sca) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS266+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 30 00:40:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.48 % (29331)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)
% 0.19/0.48 % (29323)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)
% 0.19/0.48 % (29321)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.49 % (29315)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)
% 0.19/0.50 % (29331)First to succeed.
% 0.19/0.50 % (29322)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (29329)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 % (29320)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)
% 0.19/0.50 % (29331)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Theorem for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (29331)------------------------------
% 0.19/0.50 % (29331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (29331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (29331)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (29331)Memory used [KB]: 1151
% 0.19/0.50 % (29331)Time elapsed: 0.063 s
% 0.19/0.50 % (29331)Instructions burned: 8 (million)
% 0.19/0.50 % (29331)------------------------------
% 0.19/0.50 % (29331)------------------------------
% 0.19/0.50 % (29308)Success in time 0.162 s
%------------------------------------------------------------------------------