TSTP Solution File: LCL131-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL131-1 : 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 : n023.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 Apr 30 13:40:35 EDT 2024
% Result : Unsatisfiable 10.32s 1.82s
% Output : Refutation 10.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 39 ( 20 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 55 ( 29 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 8 ( 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 : 127 ( 127 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f40663,plain,
$false,
inference(resolution,[],[f1629,f5165]) ).
fof(f5165,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)),
inference(resolution,[],[f2248,f2068]) ).
fof(f2068,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(equivalent(X2,X0)) ),
inference(resolution,[],[f1527,f6]) ).
fof(f6,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),
inference(resolution,[],[f5,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))))
| is_a_theorem(X0) ),
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(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X3,X2)),equivalent(X1,X3))),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_6) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2)),equivalent(equivalent(equivalent(X3,X4),equivalent(X5,X4)),equivalent(X3,X5)))),
inference(resolution,[],[f4,f2]) ).
fof(f1527,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X2)))
| ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X2,X1)) ),
inference(resolution,[],[f1382,f9]) ).
fof(f9,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X2),equivalent(X1,X2)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f6,f1]) ).
fof(f1382,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X1,X1),X2))
| ~ is_a_theorem(X0)
| ~ is_a_theorem(equivalent(X0,X2)) ),
inference(resolution,[],[f1300,f1]) ).
fof(f1300,plain,
! [X2,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)))
| ~ is_a_theorem(X0) ),
inference(resolution,[],[f1284,f1]) ).
fof(f1284,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X2),X1)))),
inference(resolution,[],[f365,f217]) ).
fof(f217,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
inference(resolution,[],[f55,f9]) ).
fof(f55,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,[],[f28,f14]) ).
fof(f14,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,[],[f8,f1]) ).
fof(f8,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,[],[f6,f4]) ).
fof(f28,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,[],[f14,f2]) ).
fof(f365,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,[],[f107,f1]) ).
fof(f107,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,[],[f20,f4]) ).
fof(f20,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X3),X4),equivalent(equivalent(equivalent(X0,X2),X3),X4))),
inference(resolution,[],[f13,f4]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),X2)),equivalent(X0,X3))),
inference(resolution,[],[f8,f4]) ).
fof(f2248,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)))),
inference(resolution,[],[f1653,f55]) ).
fof(f1653,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X2,X2)),X1))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f1469,f89]) ).
fof(f89,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X3))))
| ~ is_a_theorem(equivalent(equivalent(X0,X3),X2)) ),
inference(resolution,[],[f29,f1]) ).
fof(f29,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,[],[f14,f8]) ).
fof(f1469,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X2,X2)))))
| is_a_theorem(X0) ),
inference(resolution,[],[f1314,f222]) ).
fof(f222,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X3,X1)))
| ~ is_a_theorem(equivalent(X0,equivalent(X3,X2))) ),
inference(resolution,[],[f55,f1]) ).
fof(f1314,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X1),X2)),X2))
| is_a_theorem(X0) ),
inference(resolution,[],[f1284,f777]) ).
fof(f777,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| is_a_theorem(X0)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f172,f17]) ).
fof(f17,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[],[f15,f9]) ).
fof(f15,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X1))),
inference(resolution,[],[f11,f9]) ).
fof(f11,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,[],[f9,f5]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X3))
| is_a_theorem(X3)
| ~ is_a_theorem(X2) ),
inference(resolution,[],[f37,f1]) ).
fof(f37,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(X2,X3))
| ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(X0,X3)) ),
inference(resolution,[],[f16,f1]) ).
fof(f16,plain,
! [X2,X3,X0,X1] :
( is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X2,X1)))
| ~ is_a_theorem(equivalent(equivalent(X0,X3),equivalent(X2,X3))) ),
inference(resolution,[],[f11,f1]) ).
fof(f1629,plain,
! [X2,X3,X0,X1] : ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))),equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),equivalent(X0,X2))),X3),equivalent(a,X3))),
inference(resolution,[],[f175,f2]) ).
fof(f175,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,X1),equivalent(a,X1)))
| ~ is_a_theorem(equivalent(X0,equivalent(a,equivalent(equivalent(b,c),equivalent(equivalent(b,e),equivalent(c,e)))))) ),
inference(resolution,[],[f37,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/sandbox/benchmark/theBenchmark.p',prove_lg_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL131-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n023.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 : Mon Apr 29 23:00:40 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (23042)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (23050)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37 % (23047)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)
% 0.15/0.37 % (23046)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37 % (23049)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37 % (23048)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37 % (23051)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)
% 0.15/0.37 % (23045)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [4]
% 0.15/0.40 TRYING [4]
% 3.04/0.80 TRYING [5]
% 3.04/0.81 TRYING [5]
% 3.69/0.86 TRYING [5]
% 3.69/0.87 TRYING [5]
% 10.32/1.82 % (23047)First to succeed.
% 10.32/1.82 % (23047)Refutation found. Thanks to Tanya!
% 10.32/1.82 % SZS status Unsatisfiable for theBenchmark
% 10.32/1.82 % SZS output start Proof for theBenchmark
% See solution above
% 10.32/1.82 % (23047)------------------------------
% 10.32/1.82 % (23047)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 10.32/1.82 % (23047)Termination reason: Refutation
% 10.32/1.82
% 10.32/1.82 % (23047)Memory used [KB]: 13138
% 10.32/1.82 % (23047)Time elapsed: 1.449 s
% 10.32/1.82 % (23047)Instructions burned: 5421 (million)
% 10.32/1.82 % (23047)------------------------------
% 10.32/1.82 % (23047)------------------------------
% 10.32/1.82 % (23042)Success in time 1.449 s
%------------------------------------------------------------------------------