TSTP Solution File: LCL129-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL129-1 : 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 : n024.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 00:24:52 EDT 2024
% Result : Unsatisfiable 210.91s 30.43s
% Output : Refutation 210.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 16 unt; 0 def)
% Number of atoms : 33 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f717685,plain,
$false,
inference(resolution,[],[f717258,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_lg_2) ).
fof(f717258,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
inference(resolution,[],[f232470,f10942]) ).
fof(f10942,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X4)),equivalent(X5,X3)),equivalent(X4,X5)),equivalent(X1,X2)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f926,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f926,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X3)),equivalent(X4,X2)),equivalent(X3,X4)),equivalent(X5,X1)),equivalent(X0,X5))),
inference(resolution,[],[f30,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X3,X2)))
| is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1))) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_4) ).
fof(f30,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)),equivalent(X2,X3)),X0)),
inference(resolution,[],[f12,f7]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X4,X2)),equivalent(X3,equivalent(X4,X1))))
| is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),X3)) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,equivalent(X1,X4))),equivalent(equivalent(X0,equivalent(X4,X2)),X3))),
inference(resolution,[],[f4,f2]) ).
fof(f12,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)),
inference(resolution,[],[f9,f7]) ).
fof(f9,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(resolution,[],[f8,f7]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(X1,X2)))),
inference(resolution,[],[f7,f2]) ).
fof(f232470,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),X4),equivalent(X0,equivalent(X4,equivalent(equivalent(X2,X1),X3))))),
inference(resolution,[],[f101878,f102]) ).
fof(f102,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X3),equivalent(X0,X3))),
inference(resolution,[],[f86,f12]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X2))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(resolution,[],[f46,f1]) ).
fof(f46,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(resolution,[],[f40,f2]) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X2),equivalent(X1,X0)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f33,f1]) ).
fof(f33,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),equivalent(X1,X2)),equivalent(X2,X1))),
inference(resolution,[],[f12,f13]) ).
fof(f13,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(X0) ),
inference(resolution,[],[f9,f1]) ).
fof(f101878,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X4),equivalent(X2,equivalent(X4,X1))),X3))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)) ),
inference(resolution,[],[f1066,f1]) ).
fof(f1066,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3))),X4),equivalent(equivalent(equivalent(X0,X3),X2),X4))),
inference(resolution,[],[f84,f86]) ).
fof(f84,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3))),equivalent(equivalent(X0,X3),X2))),
inference(resolution,[],[f46,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : LCL129-1 : TPTP v8.2.0. Released v1.0.0.
% 0.10/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n024.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Mon May 20 00:45:53 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.32 % (1460)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (1466)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.33 % (1467)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.33 % (1468)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)
% 0.16/0.33 % (1464)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.33 % (1463)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)
% 0.16/0.33 % (1462)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.33 % (1461)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [3]
% 0.16/0.34 TRYING [3]
% 0.16/0.35 TRYING [4]
% 0.16/0.35 TRYING [4]
% 0.16/0.35 TRYING [4]
% 0.16/0.36 TRYING [4]
% 3.39/0.80 TRYING [5]
% 3.39/0.81 TRYING [5]
% 3.39/0.84 TRYING [5]
% 3.39/0.85 TRYING [5]
% 107.75/15.76 TRYING [6]
% 116.21/16.90 TRYING [6]
% 116.21/16.97 TRYING [6]
% 116.80/16.99 TRYING [6]
% 151.51/22.03 % (1467)Time limit reached!
% 151.51/22.03 % (1467)------------------------------
% 151.51/22.03 % (1467)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 151.51/22.03 % (1467)Termination reason: Time limit
% 151.51/22.03 % (1467)Termination phase: Saturation
% 151.51/22.03
% 151.51/22.03 % (1467)Memory used [KB]: 82175
% 151.51/22.03 % (1467)Time elapsed: 21.700 s
% 151.51/22.03 % (1467)Instructions burned: 58093 (million)
% 151.51/22.03 % (1467)------------------------------
% 151.51/22.03 % (1467)------------------------------
% 152.20/22.06 % (2092)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_569 on theBenchmark for (569ds/0Mi)
% 152.20/22.06 TRYING [1]
% 152.20/22.06 TRYING [2]
% 152.20/22.06 TRYING [3]
% 152.20/22.08 TRYING [4]
% 155.58/22.54 TRYING [5]
% 210.30/30.41 % (1466)First to succeed.
% 210.30/30.41 % (1466)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1460"
% 210.91/30.43 % (1466)Refutation found. Thanks to Tanya!
% 210.91/30.43 % SZS status Unsatisfiable for theBenchmark
% 210.91/30.43 % SZS output start Proof for theBenchmark
% See solution above
% 210.91/30.43 % (1466)------------------------------
% 210.91/30.43 % (1466)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 210.91/30.43 % (1466)Termination reason: Refutation
% 210.91/30.43
% 210.91/30.43 % (1466)Memory used [KB]: 185346
% 210.91/30.43 % (1466)Time elapsed: 30.081 s
% 210.91/30.43 % (1466)Instructions burned: 71589 (million)
% 210.91/30.43 % (1460)Success in time 30.108 s
%------------------------------------------------------------------------------