TSTP Solution File: SWC131+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC131+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : n020.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 18:41:55 EDT 2022
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 79 ( 15 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 77 ( 28 ~; 20 |; 14 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 22 ( 14 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f620,plain,
$false,
inference(avatar_sat_refutation,[],[f472,f609,f611,f619]) ).
fof(f619,plain,
~ spl51_9,
inference(avatar_contradiction_clause,[],[f618]) ).
fof(f618,plain,
( $false
| ~ spl51_9 ),
inference(resolution,[],[f614,f306]) ).
fof(f306,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
fof(f614,plain,
( ~ cyclefreeP(nil)
| ~ spl51_9 ),
inference(superposition,[],[f421,f604]) ).
fof(f604,plain,
( nil = sK29
| ~ spl51_9 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f602,plain,
( spl51_9
<=> nil = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl51_9])]) ).
fof(f421,plain,
~ cyclefreeP(sK29),
inference(definition_unfolding,[],[f337,f338]) ).
fof(f338,plain,
sK27 = sK29,
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ssList(X3)
& X1 = X3
& ~ cyclefreeP(X1)
& X0 = X2
& ~ neq(X3,nil) )
& ssList(X2) ) ) ),
inference(flattening,[],[f131]) ).
fof(f131,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ cyclefreeP(X1)
& X1 = X3
& X0 = X2
& ~ neq(X3,nil)
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( cyclefreeP(X1)
| X1 != X3
| X0 != X2
| neq(X3,nil) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( cyclefreeP(X1)
| X1 != X3
| X0 != X2
| neq(X3,nil) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f337,plain,
~ cyclefreeP(sK27),
inference(cnf_transformation,[],[f132]) ).
fof(f611,plain,
spl51_10,
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f610,plain,
( $false
| spl51_10 ),
inference(resolution,[],[f608,f339]) ).
fof(f339,plain,
ssList(sK29),
inference(cnf_transformation,[],[f132]) ).
fof(f608,plain,
( ~ ssList(sK29)
| spl51_10 ),
inference(avatar_component_clause,[],[f606]) ).
fof(f606,plain,
( spl51_10
<=> ssList(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_10])]) ).
fof(f609,plain,
( spl51_9
| ~ spl51_10
| ~ spl51_1 ),
inference(avatar_split_clause,[],[f596,f455,f606,f602]) ).
fof(f455,plain,
( spl51_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_1])]) ).
fof(f596,plain,
( ~ ssList(nil)
| ~ ssList(sK29)
| nil = sK29 ),
inference(resolution,[],[f228,f335]) ).
fof(f335,plain,
~ neq(sK29,nil),
inference(cnf_transformation,[],[f132]) ).
fof(f228,plain,
! [X0,X1] :
( neq(X0,X1)
| ~ ssList(X0)
| X0 = X1
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f472,plain,
spl51_1,
inference(avatar_split_clause,[],[f401,f455]) ).
fof(f401,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC131+1 : TPTP v8.1.0. Released v2.4.0.
% 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
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 30 18:23:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.50 % (5260)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)
% 0.21/0.51 % (5251)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)
% 0.21/0.51 % (5248)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)
% 0.21/0.52 % (5253)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (5274)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.53 % (5260)First to succeed.
% 0.21/0.54 % (5275)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.54 % (5260)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (5260)------------------------------
% 0.21/0.54 % (5260)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (5260)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (5260)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (5260)Memory used [KB]: 5884
% 0.21/0.54 % (5260)Time elapsed: 0.116 s
% 0.21/0.54 % (5260)Instructions burned: 18 (million)
% 0.21/0.54 % (5260)------------------------------
% 0.21/0.54 % (5260)------------------------------
% 0.21/0.54 % (5245)Success in time 0.181 s
%------------------------------------------------------------------------------