TSTP Solution File: LCL089-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL089-1 : 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 : n022.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 13:40:26 EDT 2024
% Result : Unsatisfiable 0.23s 0.44s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 3
% Syntax : Number of formulae : 41 ( 25 unt; 0 def)
% Number of atoms : 58 ( 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 132 ( 132 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3153,plain,
$false,
inference(resolution,[],[f2849,f3]) ).
fof(f3,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ic_4) ).
fof(f2849,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f2795,f231]) ).
fof(f231,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(implies(X1,X3),implies(X0,X3))))),
inference(resolution,[],[f199,f2]) ).
fof(f2,axiom,
! [X2,X3,X6,X4,X5] : is_a_theorem(implies(implies(implies(X2,X3),implies(X4,X5)),implies(X6,implies(implies(X5,X2),implies(X4,X2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ic_JLukasiewicz_4) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f181,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(f181,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f172,f24]) ).
fof(f24,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f18,f2]) ).
fof(f18,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))) ),
inference(resolution,[],[f13,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(X1,X2),implies(X3,X2))))),
inference(resolution,[],[f11,f2]) ).
fof(f11,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,[],[f8,f1]) ).
fof(f8,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,[],[f7,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(X5)
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),implies(X1,X3)),implies(X4,implies(X1,X3)))) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),implies(X2,X4)),implies(X5,implies(X2,X4))))),
inference(resolution,[],[f4,f2]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X2,X4),implies(X3,X1)))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f2,f1]) ).
fof(f172,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))) ),
inference(resolution,[],[f92,f1]) ).
fof(f92,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X3),implies(X2,X3)))),
inference(resolution,[],[f83,f4]) ).
fof(f83,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f74,f11]) ).
fof(f74,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))),
inference(resolution,[],[f69,f24]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X1,X0))) ),
inference(resolution,[],[f45,f1]) ).
fof(f45,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X2,X1)))),
inference(resolution,[],[f39,f4]) ).
fof(f39,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
inference(resolution,[],[f22,f2]) ).
fof(f22,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))) ),
inference(resolution,[],[f15,f1]) ).
fof(f15,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(resolution,[],[f11,f8]) ).
fof(f2795,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2744,f1]) ).
fof(f2744,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[],[f2011,f2189]) ).
fof(f2189,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f2120,f1]) ).
fof(f2120,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f2063,f74]) ).
fof(f2063,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(implies(X0,X1),X0),X0)) ),
inference(resolution,[],[f1997,f1]) ).
fof(f1997,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(resolution,[],[f1942,f355]) ).
fof(f355,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[],[f325,f24]) ).
fof(f325,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))) ),
inference(resolution,[],[f112,f1]) ).
fof(f112,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(resolution,[],[f101,f4]) ).
fof(f101,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f95,f24]) ).
fof(f95,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(resolution,[],[f83,f1]) ).
fof(f1942,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1875,f1]) ).
fof(f1875,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f1253,f74]) ).
fof(f1253,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))) ),
inference(resolution,[],[f376,f1]) ).
fof(f376,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))),
inference(resolution,[],[f355,f4]) ).
fof(f2011,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))),
inference(resolution,[],[f1942,f1875]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL089-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n022.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 23:01:58 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (5438)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (5440)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (5443)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.38 % (5444)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.38 % (5441)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 % (5439)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.38 % (5445)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)
% 0.15/0.38 % (5442)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 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 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]
% 0.23/0.44 % (5443)First to succeed.
% 0.23/0.44 % (5443)Refutation found. Thanks to Tanya!
% 0.23/0.44 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.44 % (5443)------------------------------
% 0.23/0.44 % (5443)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.44 % (5443)Termination reason: Refutation
% 0.23/0.44
% 0.23/0.44 % (5443)Memory used [KB]: 1243
% 0.23/0.44 % (5443)Time elapsed: 0.055 s
% 0.23/0.44 % (5443)Instructions burned: 107 (million)
% 0.23/0.44 % (5443)------------------------------
% 0.23/0.44 % (5443)------------------------------
% 0.23/0.44 % (5438)Success in time 0.07 s
%------------------------------------------------------------------------------