TSTP Solution File: KRS265+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : KRS265+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 : n012.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 0.54s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 44 ( 14 unt; 0 def)
% Number of atoms : 104 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 99 ( 39 ~; 29 |; 15 &)
% ( 10 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 89 ( 73 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f573,plain,
$false,
inference(avatar_sat_refutation,[],[f483,f572]) ).
fof(f572,plain,
~ spl59_5,
inference(avatar_contradiction_clause,[],[f571]) ).
fof(f571,plain,
( $false
| ~ spl59_5 ),
inference(resolution,[],[f473,f292]) ).
fof(f292,plain,
~ mighta(cax,thm),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
~ mighta(cax,thm),
inference(flattening,[],[f34]) ).
fof(f34,negated_conjecture,
~ mighta(cax,thm),
inference(negated_conjecture,[],[f33]) ).
fof(f33,conjecture,
mighta(cax,thm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_cax_thm) ).
fof(f473,plain,
( mighta(cax,thm)
| ~ spl59_5 ),
inference(avatar_component_clause,[],[f471]) ).
fof(f471,plain,
( spl59_5
<=> mighta(cax,thm) ),
introduced(avatar_definition,[new_symbols(naming,[spl59_5])]) ).
fof(f483,plain,
spl59_5,
inference(avatar_split_clause,[],[f458,f471]) ).
fof(f458,plain,
mighta(cax,thm),
inference(resolution,[],[f349,f424]) ).
fof(f424,plain,
! [X0] : status(not(sK0),X0,cax),
inference(resolution,[],[f379,f215]) ).
fof(f215,plain,
! [X1] : model(X1,sK0),
inference(cnf_transformation,[],[f79]) ).
fof(f79,plain,
! [X1] : model(X1,sK0),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f41,f78]) ).
fof(f78,plain,
( ? [X0] :
! [X1] : model(X1,X0)
=> ! [X1] : model(X1,sK0) ),
introduced(choice_axiom,[]) ).
fof(f41,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(f379,plain,
! [X2,X3] :
( ~ model(sK3(not(X2)),X2)
| status(not(X2),X3,cax) ),
inference(resolution,[],[f266,f220]) ).
fof(f220,plain,
! [X0,X1] :
( model(sK3(X0),X0)
| status(X0,X1,cax) ),
inference(cnf_transformation,[],[f89]) ).
fof(f89,plain,
! [X0,X1] :
( ( status(X0,X1,cax)
| model(sK3(X0),X0) )
& ( ! [X3] : ~ model(X3,X0)
| ~ status(X0,X1,cax) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f87,f88]) ).
fof(f88,plain,
! [X0] :
( ? [X2] : model(X2,X0)
=> model(sK3(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f87,plain,
! [X0,X1] :
( ( status(X0,X1,cax)
| ? [X2] : model(X2,X0) )
& ( ! [X3] : ~ model(X3,X0)
| ~ status(X0,X1,cax) ) ),
inference(rectify,[],[f86]) ).
fof(f86,plain,
! [X0,X1] :
( ( status(X0,X1,cax)
| ? [X2] : model(X2,X0) )
& ( ! [X2] : ~ model(X2,X0)
| ~ status(X0,X1,cax) ) ),
inference(nnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( status(X0,X1,cax)
<=> ! [X2] : ~ model(X2,X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( status(X0,X1,cax)
<=> ~ ? [X2] : model(X2,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cax) ).
fof(f266,plain,
! [X0,X1] :
( ~ model(X1,not(X0))
| ~ model(X1,X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f149,plain,
! [X0,X1] :
( ( ~ model(X1,not(X0))
| ~ model(X1,X0) )
& ( model(X1,X0)
| model(X1,not(X0)) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0,X1] :
( ~ model(X1,not(X0))
<=> model(X1,X0) ),
inference(rectify,[],[f26]) ).
fof(f26,axiom,
! [X9,X8] :
( ~ model(X8,not(X9))
<=> model(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not) ).
fof(f349,plain,
! [X2,X3] :
( ~ status(X3,sK0,X2)
| mighta(X2,thm) ),
inference(resolution,[],[f264,f330]) ).
fof(f330,plain,
! [X0] : status(X0,sK0,thm),
inference(resolution,[],[f258,f215]) ).
fof(f258,plain,
! [X0,X1] :
( ~ model(sK28(X0,X1),X1)
| status(X0,X1,thm) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ( model(sK28(X0,X1),X0)
& ~ model(sK28(X0,X1),X1) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f142,f143]) ).
fof(f143,plain,
! [X0,X1] :
( ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) )
=> ( model(sK28(X0,X1),X0)
& ~ model(sK28(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f142,plain,
! [X0,X1] :
( ( ! [X2] :
( ~ model(X2,X0)
| model(X2,X1) )
| ~ status(X0,X1,thm) )
& ( status(X0,X1,thm)
| ? [X3] :
( model(X3,X0)
& ~ model(X3,X1) ) ) ),
inference(rectify,[],[f141]) ).
fof(f141,plain,
! [X1,X0] :
( ( ! [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,[],[f69]) ).
fof(f69,plain,
! [X1,X0] :
( ! [X2] :
( ~ model(X2,X1)
| model(X2,X0) )
<=> status(X1,X0,thm) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0,X1] :
( 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(f264,plain,
! [X2,X3,X0,X1] :
( ~ status(X2,X3,X1)
| mighta(X0,X1)
| ~ status(X2,X3,X0) ),
inference(cnf_transformation,[],[f70]) ).
fof(f70,plain,
! [X0,X1] :
( mighta(X0,X1)
| ! [X2,X3] :
( ~ status(X2,X3,X1)
| ~ status(X2,X3,X0) ) ),
inference(ennf_transformation,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( ? [X3,X2] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
=> mighta(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f46]) ).
fof(f46,plain,
! [X1,X0] :
( ? [X3,X2] :
( status(X2,X3,X1)
& status(X2,X3,X0) )
<=> mighta(X0,X1) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X6,X7] :
( ? [X0,X1] :
( status(X0,X1,X6)
& status(X0,X1,X7) )
<=> mighta(X6,X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS265+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
% 0.14/0.34 % Computer : n012.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 00:40:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 % (10120)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)
% 0.20/0.52 % (10104)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.52 % (10112)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 % (10097)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)
% 0.20/0.53 % (10093)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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.54 % (10120)First to succeed.
% 0.20/0.54 % (10120)Refutation found. Thanks to Tanya!
% 0.20/0.54 % SZS status Theorem for theBenchmark
% 0.20/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.54 % (10120)------------------------------
% 0.20/0.54 % (10120)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (10120)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (10120)Termination reason: Refutation
% 0.20/0.54
% 0.20/0.54 % (10120)Memory used [KB]: 5756
% 0.20/0.54 % (10120)Time elapsed: 0.146 s
% 0.20/0.54 % (10120)Instructions burned: 9 (million)
% 0.20/0.54 % (10120)------------------------------
% 0.20/0.54 % (10120)------------------------------
% 0.20/0.54 % (10090)Success in time 0.188 s
%------------------------------------------------------------------------------