TSTP Solution File: KRS200+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS200+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 17:31:05 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 47 ( 13 unt; 0 def)
% Number of atoms : 154 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 172 ( 65 ~; 37 |; 49 &)
% ( 7 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 139 ( 83 !; 56 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f531,plain,
$false,
inference(resolution,[],[f505,f255]) ).
fof(f255,plain,
~ model(sK29,sK27),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
( ~ model(sK29,sK27)
& model(sK30,sK27)
& ~ model(sK30,sK28)
& ! [X4] :
( model(X4,sK27)
| ~ model(X4,sK28) )
& model(sK31,sK28) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30,sK31])],[f134,f138,f137,f136,f135]) ).
fof(f135,plain,
( ? [X0,X1] :
( ? [X2] : ~ model(X2,X0)
& ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
& ! [X4] :
( model(X4,X0)
| ~ model(X4,X1) )
& ? [X5] : model(X5,X1) )
=> ( ? [X2] : ~ model(X2,sK27)
& ? [X3] :
( model(X3,sK27)
& ~ model(X3,sK28) )
& ! [X4] :
( model(X4,sK27)
| ~ model(X4,sK28) )
& ? [X5] : model(X5,sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f136,plain,
( ? [X2] : ~ model(X2,sK27)
=> ~ model(sK29,sK27) ),
introduced(choice_axiom,[]) ).
fof(f137,plain,
( ? [X3] :
( model(X3,sK27)
& ~ model(X3,sK28) )
=> ( model(sK30,sK27)
& ~ model(sK30,sK28) ) ),
introduced(choice_axiom,[]) ).
fof(f138,plain,
( ? [X5] : model(X5,sK28)
=> model(sK31,sK28) ),
introduced(choice_axiom,[]) ).
fof(f134,plain,
? [X0,X1] :
( ? [X2] : ~ model(X2,X0)
& ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
& ! [X4] :
( model(X4,X0)
| ~ model(X4,X1) )
& ? [X5] : model(X5,X1) ),
inference(rectify,[],[f72]) ).
fof(f72,plain,
? [X0,X1] :
( ? [X4] : ~ model(X4,X0)
& ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) )
& ! [X5] :
( model(X5,X0)
| ~ model(X5,X1) )
& ? [X3] : model(X3,X1) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,plain,
? [X0,X1] :
( ! [X5] :
( model(X5,X1)
=> model(X5,X0) )
& ? [X4] : ~ model(X4,X0)
& ? [X3] : model(X3,X1)
& ? [X2] :
( model(X2,X0)
& ~ model(X2,X1) ) ),
inference(rectify,[],[f31]) ).
fof(f31,axiom,
? [X1,X0] :
( ? [X4] :
( model(X4,X1)
& ~ model(X4,X0) )
& ? [X2] : model(X2,X0)
& ? [X5] : ~ model(X5,X1)
& ! [X3] :
( model(X3,X0)
=> model(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mixed_pair) ).
fof(f505,plain,
! [X0,X1] : model(X0,X1),
inference(resolution,[],[f489,f234]) ).
fof(f234,plain,
! [X1] : model(X1,sK14),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X1] : model(X1,sK14),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f51,f105]) ).
fof(f105,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK14) ),
introduced(choice_axiom,[]) ).
fof(f51,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(f489,plain,
! [X0,X1] :
( ~ model(X0,sK14)
| model(X0,X1) ),
inference(resolution,[],[f488,f276]) ).
fof(f276,plain,
! [X2,X0,X1] :
( ~ status(X0,X1,thm)
| model(X2,X1)
| ~ model(X2,X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( ~ model(sK40(X0,X1),X1)
& model(sK40(X0,X1),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40])],[f169,f170]) ).
fof(f170,plain,
! [X0,X1] :
( ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) )
=> ( ~ model(sK40(X0,X1),X1)
& model(sK40(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f169,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( ~ model(X3,X1)
& model(X3,X0) ) ) ),
inference(rectify,[],[f168]) ).
fof(f168,plain,
! [X0,X1] :
( ( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X2] :
( ~ model(X2,X1)
& model(X2,X0) ) ) ),
inference(nnf_transformation,[],[f63]) ).
fof(f63,plain,
! [X0,X1] :
( ! [X2] :
( model(X2,X1)
| ~ model(X2,X0) )
<=> status(X0,X1,thm) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0,X1] :
( status(X0,X1,thm)
<=> ! [X2] :
( model(X2,X0)
=> model(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).
fof(f488,plain,
! [X0] : status(sK14,X0,thm),
inference(resolution,[],[f400,f291]) ).
fof(f291,plain,
~ nota(unp,thm),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
~ nota(unp,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ nota(unp,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
nota(unp,thm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota_unp_thm) ).
fof(f400,plain,
! [X0,X1] :
( nota(unp,X1)
| status(sK14,X0,X1) ),
inference(resolution,[],[f217,f314]) ).
fof(f314,plain,
! [X0] : status(sK14,X0,unp),
inference(resolution,[],[f211,f234]) ).
fof(f211,plain,
! [X0,X1,X4] :
( ~ model(X4,X1)
| status(X1,X0,unp) ),
inference(cnf_transformation,[],[f78]) ).
fof(f78,plain,
! [X0,X1] :
( ( model(sK0(X1),X1)
| ! [X3] : ~ model(X3,X0)
| ~ status(X1,X0,unp) )
& ( status(X1,X0,unp)
| ( ! [X4] : ~ model(X4,X1)
& model(sK1(X0),X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f75,f77,f76]) ).
fof(f76,plain,
! [X1] :
( ? [X2] : model(X2,X1)
=> model(sK0(X1),X1) ),
introduced(choice_axiom,[]) ).
fof(f77,plain,
! [X0] :
( ? [X5] : model(X5,X0)
=> model(sK1(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0)
| ~ status(X1,X0,unp) )
& ( status(X1,X0,unp)
| ( ! [X4] : ~ model(X4,X1)
& ? [X5] : model(X5,X0) ) ) ),
inference(rectify,[],[f74]) ).
fof(f74,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0)
| ~ status(X1,X0,unp) )
& ( status(X1,X0,unp)
| ( ! [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X0) ) ) ),
inference(flattening,[],[f73]) ).
fof(f73,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0)
| ~ status(X1,X0,unp) )
& ( status(X1,X0,unp)
| ( ! [X2] : ~ model(X2,X1)
& ? [X3] : model(X3,X0) ) ) ),
inference(nnf_transformation,[],[f69]) ).
fof(f69,plain,
! [X0,X1] :
( ( ? [X2] : model(X2,X1)
| ! [X3] : ~ model(X3,X0) )
<=> status(X1,X0,unp) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,plain,
! [X0,X1] :
( ( ~ ? [X2] : model(X2,X1)
=> ~ ? [X3] : model(X3,X0) )
<=> status(X1,X0,unp) ),
inference(rectify,[],[f1]) ).
fof(f1,axiom,
! [X1,X0] :
( status(X0,X1,unp)
<=> ( ~ ? [X2] : model(X2,X0)
=> ~ ? [X3] : model(X3,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unp) ).
fof(f217,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1)
| nota(X0,X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( ! [X2,X3] :
( ~ status(X2,X3,X0)
| status(X2,X3,X1) )
| nota(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( ? [X3,X2] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
=> nota(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X3,X2] :
( ~ status(X2,X3,X1)
& status(X2,X3,X0) )
<=> nota(X0,X1) ),
inference(rectify,[],[f22]) ).
fof(f22,axiom,
! [X6,X7] :
( ? [X0,X1] :
( status(X0,X1,X6)
& ~ status(X0,X1,X7) )
<=> nota(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nota) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS200+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 00:39:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48 % (20790)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 (2999ds/355Mi)
% 0.20/0.48 % (20774)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (20790)First to succeed.
% 0.20/0.51 % (20772)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)
% 0.20/0.51 % (20790)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Theorem for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (20790)------------------------------
% 0.20/0.51 % (20790)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (20790)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (20790)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (20790)Memory used [KB]: 5756
% 0.20/0.51 % (20790)Time elapsed: 0.091 s
% 0.20/0.51 % (20790)Instructions burned: 9 (million)
% 0.20/0.51 % (20790)------------------------------
% 0.20/0.51 % (20790)------------------------------
% 0.20/0.51 % (20760)Success in time 0.162 s
%------------------------------------------------------------------------------