TSTP Solution File: SYN313-1.001.002 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SYN313-1.001.002 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.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 : Tue May 21 08:34:55 EDT 2024
% Result : Unsatisfiable 0.24s 0.42s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 4
% Syntax : Number of formulae : 37 ( 5 unt; 0 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 108 ( 54 ~; 52 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f317,plain,
$false,
inference(avatar_sat_refutation,[],[f306,f313,f316]) ).
fof(f316,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f314]) ).
fof(f314,plain,
( $false
| ~ spl0_4 ),
inference(resolution,[],[f283,f213]) ).
fof(f213,plain,
! [X0] : ~ p(h0,f0(h0),X0),
inference(duplicate_literal_removal,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ~ p(h0,f0(h0),X0)
| ~ p(h0,f0(h0),X0) ),
inference(resolution,[],[f204,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] :
( ~ p(X0,f1(X1),X2)
| ~ p(X0,f0(X0),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
fof(f204,plain,
! [X0] :
( p(h0,f1(X0),j0(f0(h2(f0(h1(f1(X0)))))))
| ~ p(h0,f0(h0),X0) ),
inference(duplicate_literal_removal,[],[f203]) ).
fof(f203,plain,
! [X0] :
( p(h0,f1(X0),j0(f0(h2(f0(h1(f1(X0)))))))
| ~ p(h0,f0(h0),X0)
| ~ p(h0,f0(h0),X0) ),
inference(resolution,[],[f187,f1]) ).
fof(f187,plain,
! [X0] :
( p(h0,f1(X0),j0(f1(j2(f0(h2(f0(h1(f1(X0)))))))))
| p(h0,f1(X0),j0(f0(h2(f0(h1(f1(X0)))))))
| ~ p(h0,f0(h0),X0) ),
inference(duplicate_literal_removal,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ~ p(h0,f0(h0),X0)
| p(h0,f1(X0),j0(f0(h2(f0(h1(f1(X0)))))))
| p(h0,f1(X0),j0(f1(j2(f0(h2(f0(h1(f1(X0)))))))))
| ~ p(h0,f0(h0),X0) ),
inference(resolution,[],[f58,f47]) ).
fof(f47,plain,
! [X0,X1] :
( ~ p(h1(f1(X0)),f0(h1(f1(X0))),X1)
| ~ p(h0,f0(h0),X0) ),
inference(duplicate_literal_removal,[],[f46]) ).
fof(f46,plain,
! [X0,X1] :
( ~ p(h1(f1(X0)),f0(h1(f1(X0))),X1)
| ~ p(h0,f0(h0),X0)
| ~ p(h0,f0(h0),X0) ),
inference(factoring,[],[f40]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ p(h1(f1(X2)),f0(h1(f1(X2))),X1)
| ~ p(h1(f1(X0)),f0(h1(f1(X0))),X1)
| ~ p(h0,f0(h0),X0)
| ~ p(h0,f0(h0),X2) ),
inference(resolution,[],[f33,f1]) ).
fof(f33,plain,
! [X2,X0,X1] :
( p(h0,X1,j0(f0(h2(f1(X2)))))
| ~ p(h0,f0(h0),X0)
| ~ p(h1(f1(X0)),f0(h1(f1(X0))),X2)
| ~ p(h1(X1),f0(h1(X1)),X2) ),
inference(resolution,[],[f11,f1]) ).
fof(f11,plain,
! [X2,X0,X1] :
( p(h1(X2),f1(X1),j1(f0(h2(f1(X1)))))
| ~ p(h0,f0(h0),X0)
| p(h0,X2,j0(f0(h2(f1(X1)))))
| ~ p(h1(f1(X0)),f0(h1(f1(X0))),X1) ),
inference(resolution,[],[f9,f2]) ).
fof(f2,axiom,
! [X3,X4,X5] :
( p(h2(X5),X4,j2(X4))
| p(h0,X3,j0(X4))
| p(h1(X3),X5,j1(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
fof(f9,plain,
! [X2,X0,X1] :
( ~ p(h2(f1(X0)),f0(h2(f1(X0))),X1)
| ~ p(h1(f1(X2)),f0(h1(f1(X2))),X0)
| ~ p(h0,f0(h0),X2) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X0,X1] :
( p(h0,X0,j0(f1(X1)))
| ~ p(h2(f1(X2)),f0(h2(f1(X2))),X1)
| ~ p(h1(X0),f0(h1(X0)),X2) ),
inference(resolution,[],[f3,f1]) ).
fof(f3,plain,
! [X2,X0,X1] :
( p(h1(X0),X2,j1(f1(X1)))
| p(h0,X0,j0(f1(X1)))
| ~ p(h2(X2),f0(h2(X2)),X1) ),
inference(resolution,[],[f2,f1]) ).
fof(f58,plain,
! [X0,X1] :
( p(h1(X1),f0(h1(f1(X0))),j1(f0(h2(f0(h1(f1(X0)))))))
| ~ p(h0,f0(h0),X0)
| p(h0,X1,j0(f0(h2(f0(h1(f1(X0)))))))
| p(h0,f1(X0),j0(f1(j2(f0(h2(f0(h1(f1(X0))))))))) ),
inference(resolution,[],[f50,f2]) ).
fof(f50,plain,
! [X0,X1] :
( ~ p(h2(f0(h1(f1(X0)))),f0(h2(f0(h1(f1(X0))))),X1)
| p(h0,f1(X0),j0(f1(X1)))
| ~ p(h0,f0(h0),X0) ),
inference(resolution,[],[f47,f3]) ).
fof(f283,plain,
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f281]) ).
fof(f281,plain,
( spl0_4
<=> p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0))))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f313,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f311]) ).
fof(f311,plain,
( $false
| ~ spl0_3 ),
inference(resolution,[],[f308,f213]) ).
fof(f308,plain,
( p(h0,f0(h0),j0(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| ~ spl0_3 ),
inference(resolution,[],[f307,f299]) ).
fof(f299,plain,
! [X0] : ~ p(h1(f0(h0)),f0(h1(f0(h0))),X0),
inference(duplicate_literal_removal,[],[f295]) ).
fof(f295,plain,
! [X0] :
( ~ p(h1(f0(h0)),f0(h1(f0(h0))),X0)
| ~ p(h1(f0(h0)),f0(h1(f0(h0))),X0) ),
inference(resolution,[],[f270,f213]) ).
fof(f270,plain,
! [X0,X1] :
( p(h0,X0,j0(f0(h2(f1(X1)))))
| ~ p(h1(f0(h0)),f0(h1(f0(h0))),X1)
| ~ p(h1(X0),f0(h1(X0)),X1) ),
inference(resolution,[],[f225,f1]) ).
fof(f225,plain,
! [X0,X1] :
( p(h1(X1),f1(X0),j1(f0(h2(f1(X0)))))
| p(h0,X1,j0(f0(h2(f1(X0)))))
| ~ p(h1(f0(h0)),f0(h1(f0(h0))),X0) ),
inference(resolution,[],[f216,f2]) ).
fof(f216,plain,
! [X0,X1] :
( ~ p(h2(f1(X0)),f0(h2(f1(X0))),X1)
| ~ p(h1(f0(h0)),f0(h1(f0(h0))),X0) ),
inference(resolution,[],[f213,f5]) ).
fof(f307,plain,
( ! [X0] :
( p(h1(X0),f0(h1(f0(h0))),j1(f1(j2(f0(h2(f0(h1(f0(h0)))))))))
| p(h0,X0,j0(f1(j2(f0(h2(f0(h1(f0(h0))))))))) )
| ~ spl0_3 ),
inference(resolution,[],[f279,f2]) ).
fof(f279,plain,
( ! [X0] : ~ p(h2(f0(h1(f0(h0)))),f1(j2(f0(h2(f0(h1(f0(h0))))))),X0)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f278]) ).
fof(f278,plain,
( spl0_3
<=> ! [X0] : ~ p(h2(f0(h1(f0(h0)))),f1(j2(f0(h2(f0(h1(f0(h0))))))),X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f306,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f304,f281,f278]) ).
fof(f304,plain,
! [X0] :
( p(h0,f0(h0),j0(f0(h2(f0(h1(f0(h0)))))))
| ~ p(h2(f0(h1(f0(h0)))),f1(j2(f0(h2(f0(h1(f0(h0))))))),X0) ),
inference(resolution,[],[f299,f4]) ).
fof(f4,plain,
! [X2,X0,X1] :
( p(h1(X0),X1,j1(f0(h2(X1))))
| p(h0,X0,j0(f0(h2(X1))))
| ~ p(h2(X1),f1(j2(f0(h2(X1)))),X2) ),
inference(resolution,[],[f2,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SYN313-1.001.002 : TPTP v8.2.0. Released v1.2.0.
% 0.08/0.16 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.37 % Computer : n003.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.38 % CPULimit : 300
% 0.16/0.38 % WCLimit : 300
% 0.16/0.38 % DateTime : Mon May 20 15:32:22 EDT 2024
% 0.16/0.38 % CPUTime :
% 0.16/0.38 % (11593)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (11600)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [3]
% 0.16/0.40 % (11599)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.41 % (11598)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.24/0.41 % (11596)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.24/0.41 % (11594)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.24/0.41 TRYING [1]
% 0.24/0.41 TRYING [2]
% 0.24/0.41 % (11597)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.24/0.41 % (11595)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.24/0.41 TRYING [3]
% 0.24/0.41 TRYING [1,1,1]
% 0.24/0.41 TRYING [1,1,1]
% 0.24/0.41 TRYING [2,1,1]
% 0.24/0.41 TRYING [2,1,1]
% 0.24/0.41 TRYING [3,1,1]
% 0.24/0.41 TRYING [3,1,1]
% 0.24/0.41 TRYING [2,2,1]
% 0.24/0.41 TRYING [2,2,1]
% 0.24/0.42 TRYING [2,1,2]
% 0.24/0.42 TRYING [2,1,2]
% 0.24/0.42 TRYING [3,1,2]
% 0.24/0.42 TRYING [3,1,2]
% 0.24/0.42 TRYING [2,2,2]
% 0.24/0.42 TRYING [2,2,2]
% 0.24/0.42 TRYING [4,1,1]
% 0.24/0.42 TRYING [4,1,1]
% 0.24/0.42 TRYING [3,2,1]
% 0.24/0.42 TRYING [3,2,1]
% 0.24/0.42 TRYING [5,1,1]
% 0.24/0.42 TRYING [5,1,1]
% 0.24/0.42 TRYING [4,2,1]
% 0.24/0.42 % (11596)First to succeed.
% 0.24/0.42 TRYING [4,2,1]
% 0.24/0.42 TRYING [4]
% 0.24/0.42 TRYING [4,1,2]
% 0.24/0.42 % (11596)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11593"
% 0.24/0.42 TRYING [4,1,2]
% 0.24/0.42 TRYING [3,2,2]
% 0.24/0.42 % (11596)Refutation found. Thanks to Tanya!
% 0.24/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.24/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.42 % (11596)------------------------------
% 0.24/0.42 % (11596)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.24/0.42 % (11596)Termination reason: Refutation
% 0.24/0.42
% 0.24/0.42 % (11596)Memory used [KB]: 975
% 0.24/0.42 % (11596)Time elapsed: 0.014 s
% 0.24/0.42 % (11596)Instructions burned: 24 (million)
% 0.24/0.42 % (11593)Success in time 0.041 s
%------------------------------------------------------------------------------