TSTP Solution File: LCL067-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL067-1 : 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 : n008.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 13:40:22 EDT 2024
% Result : Unsatisfiable 6.75s 1.36s
% Output : Refutation 6.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 32 ( 22 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 12 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 95 ( 95 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f72631,plain,
$false,
inference(resolution,[],[f45618,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_cn_1) ).
fof(f45618,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f44307,f1382]) ).
fof(f1382,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,[],[f179,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(f179,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,[],[f68,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(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(f6,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
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(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,X0,X1] :
( ~ is_a_theorem(implies(not(X2),X1))
| is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),X1))) ),
inference(resolution,[],[f4,f1]) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(not(X0),X2),implies(implies(X1,X2),implies(implies(X0,X1),X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cn_59) ).
fof(f44307,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f42512,f38250]) ).
fof(f38250,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X0,implies(X2,X1)))),
inference(resolution,[],[f38152,f3676]) ).
fof(f3676,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f687,f1]) ).
fof(f687,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X1,X2))),
inference(resolution,[],[f653,f299]) ).
fof(f299,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,[],[f178,f1]) ).
fof(f178,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,[],[f68,f46]) ).
fof(f46,plain,
! [X2,X0,X1] : is_a_theorem(implies(not(implies(X0,X1)),implies(X1,X2))),
inference(resolution,[],[f42,f2]) ).
fof(f653,plain,
! [X0] : is_a_theorem(implies(X0,X0)),
inference(resolution,[],[f562,f2]) ).
fof(f562,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,[],[f421,f1]) ).
fof(f421,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X2,X1),X3)),implies(X1,X3))),
inference(resolution,[],[f299,f2]) ).
fof(f38152,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X1,implies(X3,X2))))),
inference(resolution,[],[f37607,f27978]) ).
fof(f27978,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,implies(X3,X1))))),
inference(resolution,[],[f1382,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X3,X0))))),
inference(resolution,[],[f8,f6]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X0)))),
inference(resolution,[],[f7,f6]) ).
fof(f37607,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f28029,f1]) ).
fof(f28029,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f1382,f7]) ).
fof(f42512,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f38333,f1]) ).
fof(f38333,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f38250,f1382]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL067-1 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n008.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 : Mon Apr 29 22:39:42 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % (10547)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (10549)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (10550)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 % (10548)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37 % (10553)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37 % (10554)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)
% 0.14/0.37 % (10551)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 % (10552)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 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 [1]
% 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]
% 0.21/0.48 TRYING [5]
% 0.21/0.48 TRYING [5]
% 0.21/0.48 TRYING [5]
% 0.21/0.48 TRYING [5]
% 4.23/0.98 TRYING [6]
% 4.23/0.99 TRYING [6]
% 4.76/1.04 TRYING [6]
% 4.76/1.08 TRYING [6]
% 6.75/1.35 % (10552)First to succeed.
% 6.75/1.36 % (10552)Refutation found. Thanks to Tanya!
% 6.75/1.36 % SZS status Unsatisfiable for theBenchmark
% 6.75/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 6.75/1.36 % (10552)------------------------------
% 6.75/1.36 % (10552)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 6.75/1.36 % (10552)Termination reason: Refutation
% 6.75/1.36
% 6.75/1.36 % (10552)Memory used [KB]: 27040
% 6.75/1.36 % (10552)Time elapsed: 0.980 s
% 6.75/1.36 % (10552)Instructions burned: 3287 (million)
% 6.75/1.36 % (10552)------------------------------
% 6.75/1.36 % (10552)------------------------------
% 6.75/1.36 % (10547)Success in time 0.976 s
%------------------------------------------------------------------------------