TSTP Solution File: LCL103-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL103-1 : 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 00:24:44 EDT 2024
% Result : Unsatisfiable 37.56s 5.74s
% Output : Refutation 37.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 4
% Syntax : Number of formulae : 36 ( 23 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 29 ( 15 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 128 ( 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f176899,plain,
$false,
inference(resolution,[],[f151745,f4]) ).
fof(f4,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(a,b),equivalent(a,c)),equivalent(b,c)),e),e)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lg_2) ).
fof(f151745,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2)),X3),X3)),
inference(resolution,[],[f112526,f13538]) ).
fof(f13538,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(X3,equivalent(X0,equivalent(equivalent(X2,X1),X4))))
| is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X3),X4)) ),
inference(resolution,[],[f17,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(f17,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),X4))),equivalent(equivalent(equivalent(X1,equivalent(X3,X2)),X0),X4))),
inference(resolution,[],[f13,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X1),X3))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),X3))) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_1) ).
fof(f13,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X0,equivalent(equivalent(X2,X1),X3))),X3)),
inference(resolution,[],[f10,f7]) ).
fof(f7,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),X3)),equivalent(equivalent(equivalent(X2,X1),X0),X3))),
inference(resolution,[],[f6,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X0),X2)),X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',q_3) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(equivalent(X1,X0),X3)))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),X3)) ),
inference(resolution,[],[f7,f1]) ).
fof(f112526,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(X1,X3)),equivalent(equivalent(X3,X2),X0)))),
inference(resolution,[],[f111325,f15085]) ).
fof(f15085,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X1),X0),X3))
| is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),X3))) ),
inference(resolution,[],[f986,f1]) ).
fof(f986,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X3),equivalent(X2,equivalent(equivalent(X1,X0),X3)))),
inference(resolution,[],[f913,f673]) ).
fof(f673,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X2,equivalent(X0,X3)))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,X3))) ),
inference(resolution,[],[f36,f1]) ).
fof(f36,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(equivalent(equivalent(X1,X3),X0),equivalent(X3,X2)))),
inference(resolution,[],[f34,f6]) ).
fof(f34,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),equivalent(X1,X2))),
inference(resolution,[],[f28,f10]) ).
fof(f28,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X0),equivalent(X2,X1)))),
inference(resolution,[],[f27,f6]) ).
fof(f27,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[],[f18,f2]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X1,equivalent(equivalent(X3,X2),X0))))
| is_a_theorem(X0) ),
inference(resolution,[],[f13,f1]) ).
fof(f913,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X1),X0)))),
inference(resolution,[],[f897,f2]) ).
fof(f897,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X2),X0),X1))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f884,f1]) ).
fof(f884,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),X1),X2),equivalent(X1,X2))),
inference(resolution,[],[f673,f51]) ).
fof(f51,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X1),X0))),
inference(resolution,[],[f38,f2]) ).
fof(f38,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),equivalent(X2,X1)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f34,f1]) ).
fof(f111325,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X0,X2)),X3),equivalent(equivalent(X1,X2),X3))),
inference(resolution,[],[f13538,f8770]) ).
fof(f8770,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X2,X3),X0))))),
inference(resolution,[],[f2831,f523]) ).
fof(f523,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X3),X4)),equivalent(equivalent(X5,X1),equivalent(equivalent(X0,X5),equivalent(equivalent(X6,X3),equivalent(equivalent(X2,X6),X4)))))),
inference(resolution,[],[f92,f2]) ).
fof(f92,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(X2,X4))
| is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X3,X1),equivalent(equivalent(X0,X3),X4)))) ),
inference(resolution,[],[f8,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,X3),X0),equivalent(equivalent(X4,X3),equivalent(equivalent(X2,X4),X1))))),
inference(resolution,[],[f6,f2]) ).
fof(f2831,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X2),equivalent(X3,X0)),equivalent(X3,X1)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f1478,f1]) ).
fof(f1478,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X0),equivalent(X1,X2)),equivalent(X1,X3)),equivalent(X2,X3))),
inference(resolution,[],[f724,f884]) ).
fof(f724,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X3,X1),equivalent(X3,X2))))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f42,f1]) ).
fof(f42,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X1,X3))),equivalent(X0,equivalent(X2,X3)))),
inference(resolution,[],[f35,f34]) ).
fof(f35,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,X2))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X0,X2))) ),
inference(resolution,[],[f28,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL103-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n024.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon May 20 01:40:38 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (22594)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (22599)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.39 % (22601)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 % (22596)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.39 % (22595)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.39 % (22598)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.39 % (22600)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.39 % (22597)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [4]
% 0.22/0.41 TRYING [4]
% 0.22/0.42 TRYING [4]
% 0.22/0.42 TRYING [4]
% 2.67/0.76 TRYING [5]
% 3.14/0.82 TRYING [5]
% 3.14/0.83 TRYING [5]
% 3.14/0.83 TRYING [5]
% 37.56/5.73 % (22599)First to succeed.
% 37.56/5.73 % (22599)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22594"
% 37.56/5.74 % (22599)Refutation found. Thanks to Tanya!
% 37.56/5.74 % SZS status Unsatisfiable for theBenchmark
% 37.56/5.74 % SZS output start Proof for theBenchmark
% See solution above
% 37.56/5.74 % (22599)------------------------------
% 37.56/5.74 % (22599)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 37.56/5.74 % (22599)Termination reason: Refutation
% 37.56/5.74
% 37.56/5.74 % (22599)Memory used [KB]: 45021
% 37.56/5.74 % (22599)Time elapsed: 5.347 s
% 37.56/5.74 % (22599)Instructions burned: 12271 (million)
% 37.56/5.74 % (22594)Success in time 5.32 s
%------------------------------------------------------------------------------