TSTP Solution File: LCL083-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL083-1 : 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 : n003.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 13:40:25 EDT 2024
% Result : Unsatisfiable 0.21s 0.52s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 45 ( 29 unt; 0 def)
% Number of atoms : 62 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 18 ~; 17 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 151 ( 151 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11224,plain,
$false,
inference(resolution,[],[f11035,f3]) ).
fof(f3,axiom,
~ is_a_theorem(implies(implies(implies(a,b),a),a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_3) ).
fof(f11035,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f10803,f271]) ).
fof(f271,plain,
! [X0] : is_a_theorem(implies(X0,implies(X0,X0))),
inference(resolution,[],[f251,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
fof(f251,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,implies(X0,X0))) ),
inference(resolution,[],[f221,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f221,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X1,X1)))),
inference(resolution,[],[f216,f2]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(X1,implies(X1,X1)))) ),
inference(resolution,[],[f199,f1]) ).
fof(f199,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X2,X2))))),
inference(resolution,[],[f22,f30]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),implies(X3,implies(X2,X3))),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f10,f1]) ).
fof(f10,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,implies(X0,X1))),X2),implies(X3,X2))),
inference(resolution,[],[f8,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f2,f1]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(resolution,[],[f7,f5]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))),
inference(resolution,[],[f4,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X3,X1),implies(X4,X1)),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f5,f1]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X1,X2))),implies(X3,implies(X2,implies(X1,X2))))),
inference(resolution,[],[f15,f4]) ).
fof(f15,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X1),implies(X2,X1))),
inference(resolution,[],[f12,f4]) ).
fof(f12,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
inference(resolution,[],[f11,f2]) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))) ),
inference(resolution,[],[f8,f1]) ).
fof(f10803,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(implies(X0,X1),X0),X0)) ),
inference(resolution,[],[f10594,f1]) ).
fof(f10594,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(resolution,[],[f10497,f271]) ).
fof(f10497,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))) ),
inference(resolution,[],[f10414,f1]) ).
fof(f10414,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),X2)))),
inference(resolution,[],[f3430,f813]) ).
fof(f813,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(implies(X2,X3),X2),implies(X4,X2)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f350,f1]) ).
fof(f350,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),implies(X2,X0)),X3),implies(X4,X3))),
inference(resolution,[],[f257,f4]) ).
fof(f257,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(resolution,[],[f67,f2]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X4,implies(X2,X5)),implies(implies(X1,X2),implies(X3,X2))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f6,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))),
inference(resolution,[],[f5,f4]) ).
fof(f3430,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X0,X1),X2)),implies(X3,implies(implies(X0,X1),X2)))),
inference(resolution,[],[f3347,f4]) ).
fof(f3347,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f3325,f479]) ).
fof(f479,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f469,f15]) ).
fof(f469,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(resolution,[],[f443,f1]) ).
fof(f443,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f389,f7]) ).
fof(f389,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f367,f4]) ).
fof(f367,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X1,X1))),
inference(resolution,[],[f314,f10]) ).
fof(f314,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(X0,X1),implies(X1,X1))) ),
inference(resolution,[],[f260,f1]) ).
fof(f260,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,X2)))),
inference(resolution,[],[f67,f5]) ).
fof(f3325,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))) ),
inference(resolution,[],[f3259,f1]) ).
fof(f3259,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))),
inference(resolution,[],[f3237,f2]) ).
fof(f3237,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(X2,X4)),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1303,f1]) ).
fof(f1303,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X3,X1)),implies(X4,implies(X3,X1)))),
inference(resolution,[],[f745,f4]) ).
fof(f745,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X1,X2)))),
inference(resolution,[],[f693,f4]) ).
fof(f693,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[],[f355,f10]) ).
fof(f355,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))) ),
inference(resolution,[],[f257,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : LCL083-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n003.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 Apr 29 22:56:48 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (19060)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (19062)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (19063)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (19064)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)
% 0.15/0.38 % (19067)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (19066)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (19065)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.38 % (19068)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [4]
% 0.21/0.41 TRYING [5]
% 0.21/0.41 TRYING [5]
% 0.21/0.41 TRYING [5]
% 0.21/0.42 TRYING [5]
% 0.21/0.51 % (19066)First to succeed.
% 0.21/0.52 % (19066)Refutation found. Thanks to Tanya!
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (19066)------------------------------
% 0.21/0.52 % (19066)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.52 % (19066)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (19066)Memory used [KB]: 2070
% 0.21/0.52 % (19066)Time elapsed: 0.134 s
% 0.21/0.52 % (19066)Instructions burned: 331 (million)
% 0.21/0.52 % (19066)------------------------------
% 0.21/0.52 % (19066)------------------------------
% 0.21/0.52 % (19060)Success in time 0.149 s
%------------------------------------------------------------------------------