TSTP Solution File: LCL071-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL071-1 : 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 : n012.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 07:43:56 EDT 2024
% Result : Unsatisfiable 15.52s 2.57s
% Output : Refutation 15.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 39 unt; 0 def)
% Number of atoms : 82 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 23 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 160 ( 160 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f97334,plain,
$false,
inference(resolution,[],[f97182,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(not(a),a),a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_2) ).
fof(f97182,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),X0)),
inference(resolution,[],[f95210,f20116]) ).
fof(f20116,plain,
! [X0] : is_a_theorem(implies(implies(not(X0),X0),not(not(X0)))),
inference(resolution,[],[f20096,f1223]) ).
fof(f1223,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,not(X0)))
| is_a_theorem(implies(implies(X0,X1),not(X0))) ),
inference(resolution,[],[f1200,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f1200,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(implies(X1,X0),not(X1)))),
inference(resolution,[],[f1102,f878]) ).
fof(f878,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f763,f1]) ).
fof(f763,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X1,X2))),
inference(resolution,[],[f724,f407]) ).
fof(f407,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X2,implies(X1,X3)))
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X3))) ),
inference(resolution,[],[f371,f1]) ).
fof(f371,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(implies(X3,X1),X0),implies(X1,X2)))),
inference(resolution,[],[f306,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_19) ).
fof(f306,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X3),X1))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X1))) ),
inference(resolution,[],[f178,f1]) ).
fof(f178,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,X2),implies(implies(X0,X3),X2)))),
inference(resolution,[],[f68,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(not(X0),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_37) ).
fof(f68,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(not(X3),X2)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),X2)))) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(not(X1),X2)),implies(X0,implies(implies(X3,X2),implies(implies(X1,X3),X2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_60) ).
fof(f724,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f617,f2]) ).
fof(f617,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),implies(implies(X3,X0),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f468,f1]) ).
fof(f468,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X2,X1),X3)),implies(X1,X3))),
inference(resolution,[],[f407,f2]) ).
fof(f1102,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,not(X2)),implies(implies(X2,X1),not(X2))))),
inference(resolution,[],[f423,f724]) ).
fof(f423,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(not(X3),X2))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(implies(X3,X1),X2)))) ),
inference(resolution,[],[f67,f1]) ).
fof(f67,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(not(X0),X1),implies(X2,implies(implies(X3,X1),implies(implies(X0,X3),X1))))),
inference(resolution,[],[f4,f6]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f20096,plain,
! [X0] : is_a_theorem(implies(X0,not(not(X0)))),
inference(resolution,[],[f20035,f724]) ).
fof(f20035,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X1,not(X0)))
| is_a_theorem(implies(X0,not(X1))) ),
inference(resolution,[],[f19891,f1]) ).
fof(f19891,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,not(X1)),implies(X1,not(X0)))),
inference(resolution,[],[f3447,f727]) ).
fof(f727,plain,
! [X0,X1] : is_a_theorem(implies(not(X0),implies(X0,X1))),
inference(resolution,[],[f617,f495]) ).
fof(f495,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),not(X2)),implies(X1,implies(X2,X3)))),
inference(resolution,[],[f407,f47]) ).
fof(f47,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(X0),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f42,f7]) ).
fof(f7,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f6,f2]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X2),X1))
| is_a_theorem(implies(not(X0),X1)) ),
inference(resolution,[],[f3,f1]) ).
fof(f3447,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X2,not(X0))))
| is_a_theorem(implies(implies(X0,X1),implies(X2,not(X0)))) ),
inference(resolution,[],[f1300,f1]) ).
fof(f1300,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,not(X2))),implies(implies(X2,X0),implies(X1,not(X2))))),
inference(resolution,[],[f699,f2]) ).
fof(f699,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X3,not(X2)),X1))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X1))) ),
inference(resolution,[],[f185,f1]) ).
fof(f185,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,not(X1)),X2),implies(implies(X3,X2),implies(implies(X1,X3),X2)))),
inference(resolution,[],[f68,f2]) ).
fof(f95210,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,not(not(X1))))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f89231,f1]) ).
fof(f89231,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,not(not(X1))),implies(X0,X1))),
inference(resolution,[],[f89035,f1144]) ).
fof(f1144,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f758,f1]) ).
fof(f758,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X1,X0),implies(X1,X2)))),
inference(resolution,[],[f724,f306]) ).
fof(f89035,plain,
! [X0,X1] : is_a_theorem(implies(not(not(X0)),implies(X1,X0))),
inference(resolution,[],[f88928,f1844]) ).
fof(f1844,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,X2))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1749,f1]) ).
fof(f1749,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f1144,f8]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f7,f6]) ).
fof(f88928,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),X0)),
inference(resolution,[],[f81963,f83085]) ).
fof(f83085,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f82326,f1]) ).
fof(f82326,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),X1)),
inference(resolution,[],[f82255,f724]) ).
fof(f82255,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),X1)) ),
inference(resolution,[],[f82193,f1]) ).
fof(f82193,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f77061,f724]) ).
fof(f77061,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f27816,f1]) ).
fof(f27816,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f4507,f1749]) ).
fof(f4507,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X2,implies(X0,X3))))
| is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3)))) ),
inference(resolution,[],[f372,f1]) ).
fof(f372,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X2,X3))),implies(implies(X2,X0),implies(X1,implies(X2,X3))))),
inference(resolution,[],[f306,f7]) ).
fof(f81963,plain,
! [X0] : is_a_theorem(implies(implies(X0,X0),implies(not(not(X0)),X0))),
inference(resolution,[],[f77061,f10695]) ).
fof(f10695,plain,
! [X0] : is_a_theorem(implies(not(not(X0)),implies(implies(X0,X0),X0))),
inference(resolution,[],[f7782,f783]) ).
fof(f783,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(not(X0)),implies(implies(X1,X2),implies(implies(X0,X1),X2)))),
inference(resolution,[],[f727,f68]) ).
fof(f7782,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f2437,f1]) ).
fof(f2437,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X1,X2))),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f1872,f1144]) ).
fof(f1872,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f1844,f1830]) ).
fof(f1830,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[],[f1144,f724]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL071-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 13:08:55 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (26981)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (26983)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (26986)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37 % (26982)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (26985)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37 % (26984)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)
% 0.14/0.37 % (26987)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (26988)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)
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.22/0.41 TRYING [5]
% 0.22/0.41 TRYING [5]
% 0.22/0.41 TRYING [5]
% 0.22/0.42 TRYING [5]
% 1.39/0.58 TRYING [6]
% 1.39/0.59 TRYING [6]
% 1.39/0.59 TRYING [6]
% 2.04/0.66 TRYING [6]
% 12.75/2.19 TRYING [7]
% 13.76/2.34 TRYING [7]
% 13.98/2.36 TRYING [7]
% 14.93/2.52 TRYING [7]
% 15.52/2.56 % (26986)First to succeed.
% 15.52/2.57 % (26986)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-26981"
% 15.52/2.57 % (26986)Refutation found. Thanks to Tanya!
% 15.52/2.57 % SZS status Unsatisfiable for theBenchmark
% 15.52/2.57 % SZS output start Proof for theBenchmark
% See solution above
% 15.52/2.57 % (26986)------------------------------
% 15.52/2.57 % (26986)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 15.52/2.57 % (26986)Termination reason: Refutation
% 15.52/2.57
% 15.52/2.57 % (26986)Memory used [KB]: 31192
% 15.52/2.57 % (26986)Time elapsed: 2.192 s
% 15.52/2.57 % (26986)Instructions burned: 5182 (million)
% 15.52/2.57 % (26981)Success in time 2.19 s
%------------------------------------------------------------------------------