TSTP Solution File: LCL013-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL013-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n027.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 : Sun May 5 07:43:47 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 5 unt; 0 def)
% Number of atoms : 12 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,plain,
$false,
inference(resolution,[],[f8,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_um) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,X2)),equivalent(X2,X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',xgf) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X2,equivalent(equivalent(X3,equivalent(X2,X4)),equivalent(X4,X3))),X0)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f5,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,X3)),equivalent(X3,X2))),X4)),equivalent(X4,X0))),
inference(resolution,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X0))) ),
inference(resolution,[],[f2,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL013-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n027.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri May 3 14:05:36 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (19990)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (19995)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (19996)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (19992)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (19994)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (19991)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (19993)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)
% 0.15/0.38 % (19997)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 % (19995)First to succeed.
% 0.15/0.38 % (19993)Also succeeded, but the first one will report.
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (19996)Also succeeded, but the first one will report.
% 0.15/0.38 % (19995)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-19990"
% 0.15/0.38 % (19995)Refutation found. Thanks to Tanya!
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38 % (19995)------------------------------
% 0.15/0.38 % (19995)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.38 % (19995)Termination reason: Refutation
% 0.15/0.38
% 0.15/0.38 % (19995)Memory used [KB]: 745
% 0.15/0.38 % (19995)Time elapsed: 0.003 s
% 0.15/0.38 % (19995)Instructions burned: 2 (million)
% 0.15/0.38 % (19990)Success in time 0.018 s
%------------------------------------------------------------------------------