TSTP Solution File: LCL006-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL006-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 00:24:22 EDT 2024
% Result : Unsatisfiable 83.05s 12.22s
% Output : Refutation 83.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 23 ( 16 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 6 ( 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 : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f258771,plain,
$false,
inference(resolution,[],[f143191,f4]) ).
fof(f4,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),equivalent(c,a)),equivalent(b,c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ec_1) ).
fof(f143191,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X0)),equivalent(X1,X2))),
inference(resolution,[],[f41950,f1141]) ).
fof(f1141,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X1,X0)))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f567,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(f567,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X2,X1),X0))),
inference(resolution,[],[f281,f97]) ).
fof(f97,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f7,f1]) ).
fof(f7,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,X1),X2))),
inference(resolution,[],[f3,f5]) ).
fof(f5,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,X0))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_4) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X0,equivalent(X1,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ec_5) ).
fof(f281,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
inference(resolution,[],[f208,f2]) ).
fof(f208,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X0)))) ),
inference(resolution,[],[f10,f1]) ).
fof(f10,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X0,equivalent(X1,X2))))),
inference(resolution,[],[f8,f3]) ).
fof(f8,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),X2))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f3,f1]) ).
fof(f41950,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),equivalent(X2,X0)))),
inference(resolution,[],[f9525,f97]) ).
fof(f9525,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),equivalent(X2,X0))))),
inference(resolution,[],[f2939,f449]) ).
fof(f449,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X0),X1),X2))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f241,f1]) ).
fof(f241,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X0),equivalent(X1,X2))),
inference(resolution,[],[f97,f3]) ).
fof(f2939,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,X2),X0))),X2)),
inference(resolution,[],[f1022,f5]) ).
fof(f1022,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(X2,X0),X1))))),
inference(resolution,[],[f449,f261]) ).
fof(f261,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,X1)))),X2)),
inference(resolution,[],[f205,f5]) ).
fof(f205,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,equivalent(X1,X2)))))),
inference(resolution,[],[f10,f8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : LCL006-1 : TPTP v8.2.0. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon May 20 02:15:37 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (12406)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.37 % (12413)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)
% 0.13/0.37 % (12409)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)
% 0.13/0.37 % (12407)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 % (12410)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.37 % (12411)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.37 % (12412)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.37 % (12408)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.20/0.43 TRYING [5]
% 0.20/0.43 TRYING [5]
% 0.20/0.43 TRYING [5]
% 0.20/0.43 TRYING [5]
% 2.99/0.81 TRYING [6]
% 2.99/0.81 TRYING [6]
% 2.99/0.81 TRYING [6]
% 3.65/0.87 TRYING [6]
% 24.36/3.86 TRYING [7]
% 24.75/3.88 TRYING [7]
% 25.59/4.00 TRYING [7]
% 30.04/4.70 TRYING [7]
% 82.84/12.21 % (12411)First to succeed.
% 82.84/12.21 % (12411)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12406"
% 83.05/12.22 % (12411)Refutation found. Thanks to Tanya!
% 83.05/12.22 % SZS status Unsatisfiable for theBenchmark
% 83.05/12.22 % SZS output start Proof for theBenchmark
% See solution above
% 83.05/12.22 % (12411)------------------------------
% 83.05/12.22 % (12411)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 83.05/12.22 % (12411)Termination reason: Refutation
% 83.05/12.22
% 83.05/12.22 % (12411)Memory used [KB]: 75123
% 83.05/12.22 % (12411)Time elapsed: 11.846 s
% 83.05/12.22 % (12411)Instructions burned: 20098 (million)
% 83.05/12.22 % (12406)Success in time 11.823 s
%------------------------------------------------------------------------------