TSTP Solution File: LCL121-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL121-1 : 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 : n015.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 07:44:08 EDT 2024
% Result : Unsatisfiable 6.56s 1.29s
% Output : Refutation 6.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 3
% Syntax : Number of formulae : 47 ( 30 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 19 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 7 ( 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 : 169 ( 169 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f58268,plain,
$false,
inference(resolution,[],[f57902,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(a,equivalent(a,equivalent(equivalent(b,equivalent(c,c)),b)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_1) ).
fof(f57902,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X2)),X1)))),
inference(resolution,[],[f19122,f32171]) ).
fof(f32171,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X2,X2)))),X0)),
inference(resolution,[],[f10231,f128]) ).
fof(f128,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(X3,X2)),equivalent(X1,X3)))),
inference(resolution,[],[f95,f38]) ).
fof(f38,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X2))),equivalent(X0,equivalent(X1,X3)))),
inference(resolution,[],[f36,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))),equivalent(equivalent(X4,X5),equivalent(equivalent(X4,X6),equivalent(X5,X6))))),
inference(resolution,[],[f4,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lg_2) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3))))) ),
inference(resolution,[],[f2,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(f36,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X3),equivalent(X2,X3)))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f30,f1]) ).
fof(f30,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X3,X2)),equivalent(equivalent(X0,X1),X3))),
inference(resolution,[],[f27,f15]) ).
fof(f15,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X2),X3))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3)) ),
inference(resolution,[],[f13,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2))),
inference(resolution,[],[f9,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2)))),
inference(subsumption_resolution,[],[f6,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,X2),equivalent(X1,X2))))
| ~ is_a_theorem(equivalent(X3,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X4,X6),equivalent(X5,X6)))))) ),
inference(resolution,[],[f5,f1]) ).
fof(f9,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,X2))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(resolution,[],[f8,f1]) ).
fof(f27,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X1),X2))),
inference(resolution,[],[f23,f19]) ).
fof(f19,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(equivalent(X0,X3),equivalent(X2,X3)))),
inference(resolution,[],[f15,f8]) ).
fof(f23,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3)))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1))) ),
inference(resolution,[],[f19,f1]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X3),equivalent(X1,X3)),X2))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f50,f1]) ).
fof(f50,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),equivalent(equivalent(X0,X2),X3))),
inference(resolution,[],[f44,f9]) ).
fof(f44,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(resolution,[],[f40,f15]) ).
fof(f40,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[],[f36,f19]) ).
fof(f10231,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,X2),X3)),X3)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f3623,f1]) ).
fof(f3623,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,X2),X3)),X3)),equivalent(X0,X1))),
inference(resolution,[],[f1771,f68]) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3))))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f38,f1]) ).
fof(f1771,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(X0,equivalent(equivalent(X3,X3),X2)),X1))),
inference(resolution,[],[f1451,f214]) ).
fof(f214,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2))),
inference(resolution,[],[f162,f51]) ).
fof(f51,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f44,f1]) ).
fof(f162,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)))),
inference(resolution,[],[f151,f115]) ).
fof(f115,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,X2),equivalent(X3,X2)),equivalent(X1,X3)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f93,f1]) ).
fof(f93,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X3,X2)),equivalent(X0,X3))),
inference(resolution,[],[f50,f68]) ).
fof(f151,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
inference(resolution,[],[f115,f38]) ).
fof(f1451,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,[],[f128,f1]) ).
fof(f19122,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X3,X2)),X1))
| is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,X3)))) ),
inference(resolution,[],[f5256,f1]) ).
fof(f5256,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),equivalent(X0,equivalent(X3,equivalent(X2,X1))))),
inference(resolution,[],[f5221,f1402]) ).
fof(f1402,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X3),X2))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3)))) ),
inference(resolution,[],[f123,f1]) ).
fof(f123,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X0,X3),equivalent(X2,equivalent(X3,X1))))),
inference(resolution,[],[f95,f50]) ).
fof(f5221,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)),
inference(resolution,[],[f5176,f2351]) ).
fof(f2351,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X2,equivalent(equivalent(X3,X3),X1))))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f1779,f1]) ).
fof(f1779,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X2),X3))),equivalent(equivalent(X0,X3),X1))),
inference(resolution,[],[f1451,f162]) ).
fof(f5176,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X1,X3),equivalent(X2,X3))))),
inference(resolution,[],[f5151,f95]) ).
fof(f5151,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X0)),
inference(resolution,[],[f827,f53]) ).
fof(f53,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[],[f51,f40]) ).
fof(f827,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(X0,X4))
| is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X1,X3),equivalent(X2,X3)))),X4)) ),
inference(resolution,[],[f11,f1]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X0,equivalent(equivalent(X2,X3),equivalent(equivalent(X2,X4),equivalent(X3,X4)))),X1))),
inference(resolution,[],[f9,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL121-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.32 % Computer : n015.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Fri May 3 13:38:36 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % (4841)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.34 % (4846)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.34 % (4845)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.34 TRYING [1]
% 0.13/0.34 TRYING [2]
% 0.13/0.34 TRYING [3]
% 0.13/0.34 % (4844)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)
% 0.13/0.34 TRYING [4]
% 0.13/0.35 % (4842)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.35 % (4843)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.35 % (4847)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.35 % (4848)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)
% 0.13/0.35 TRYING [1]
% 0.13/0.35 TRYING [1]
% 0.13/0.35 TRYING [2]
% 0.13/0.35 TRYING [2]
% 0.13/0.35 TRYING [1]
% 0.13/0.35 TRYING [2]
% 0.13/0.35 TRYING [3]
% 0.13/0.35 TRYING [3]
% 0.13/0.35 TRYING [3]
% 0.13/0.36 TRYING [4]
% 0.13/0.36 TRYING [4]
% 0.13/0.36 TRYING [4]
% 0.17/0.39 TRYING [5]
% 0.17/0.43 TRYING [5]
% 0.17/0.43 TRYING [5]
% 0.17/0.44 TRYING [5]
% 4.28/0.93 TRYING [6]
% 4.57/0.97 TRYING [6]
% 4.57/1.02 TRYING [6]
% 4.57/1.02 TRYING [6]
% 6.56/1.29 % (4846)First to succeed.
% 6.56/1.29 % (4846)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4841"
% 6.56/1.29 % (4846)Refutation found. Thanks to Tanya!
% 6.56/1.29 % SZS status Unsatisfiable for theBenchmark
% 6.56/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 6.56/1.29 % (4846)------------------------------
% 6.56/1.29 % (4846)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 6.56/1.29 % (4846)Termination reason: Refutation
% 6.56/1.29
% 6.56/1.29 % (4846)Memory used [KB]: 12715
% 6.56/1.29 % (4846)Time elapsed: 0.949 s
% 6.56/1.29 % (4846)Instructions burned: 3501 (million)
% 6.56/1.29 % (4841)Success in time 0.936 s
%------------------------------------------------------------------------------