TSTP Solution File: LCL024-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL024-1 : 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 : n016.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 07:43:49 EDT 2024
% Result : Unsatisfiable 36.95s 5.64s
% Output : Refutation 36.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 3
% Syntax : Number of formulae : 41 ( 29 unt; 0 def)
% Number of atoms : 54 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 14 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 14 ( 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 : 171 ( 171 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f311613,plain,
$false,
inference(resolution,[],[f310538,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_pyo) ).
fof(f310538,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X2),equivalent(X1,X0))),
inference(resolution,[],[f284445,f15700]) ).
fof(f15700,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(X2,equivalent(equivalent(X3,equivalent(equivalent(X4,equivalent(X5,X3)),equivalent(X5,X4))),equivalent(X2,equivalent(equivalent(X6,equivalent(X7,equivalent(X8,equivalent(equivalent(X9,equivalent(X10,X8)),equivalent(X10,X9))))),equivalent(X7,X6))))))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f1100,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f1100,plain,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(X3,equivalent(equivalent(X4,equivalent(X5,X3)),equivalent(X5,X4))),equivalent(X2,equivalent(equivalent(X6,equivalent(X7,equivalent(X8,equivalent(equivalent(X9,equivalent(X10,X8)),equivalent(X10,X9))))),equivalent(X7,X6))))))),equivalent(X1,X0))),
inference(resolution,[],[f96,f4]) ).
fof(f4,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,X0))) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xgk) ).
fof(f96,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X1)),equivalent(X3,X2))),equivalent(X0,equivalent(equivalent(X4,equivalent(X5,equivalent(X6,equivalent(equivalent(X7,equivalent(X8,X6)),equivalent(X8,X7))))),equivalent(X5,X4)))))),
inference(resolution,[],[f7,f6]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(X2,equivalent(equivalent(X3,equivalent(X4,X2)),equivalent(X4,X3))))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(X3,equivalent(X4,X2)),equivalent(X4,X3))))),equivalent(X1,X0))),
inference(resolution,[],[f4,f2]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,equivalent(X3,equivalent(X4,equivalent(equivalent(X5,equivalent(X6,X4)),equivalent(X6,X5))))),equivalent(X3,X2)))),equivalent(X1,X0))),
inference(resolution,[],[f5,f4]) ).
fof(f284445,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X1,X0)),equivalent(X3,X3))))),
inference(resolution,[],[f256734,f6]) ).
fof(f256734,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X2))),equivalent(X3,equivalent(X3,equivalent(X1,X0))))),
inference(resolution,[],[f256109,f4817]) ).
fof(f4817,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X2,equivalent(X2,X0)))))),
inference(resolution,[],[f928,f6]) ).
fof(f928,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,equivalent(X2,X1)),equivalent(X0,equivalent(X3,X3)))))),
inference(resolution,[],[f891,f20]) ).
fof(f20,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(X2,X2))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f17,f1]) ).
fof(f17,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X2))),equivalent(X1,X0))),
inference(resolution,[],[f14,f4]) ).
fof(f14,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[],[f10,f8]) ).
fof(f8,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X1,X0)),equivalent(X2,X3)),X3)),
inference(resolution,[],[f6,f2]) ).
fof(f10,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),equivalent(X2,X1)),equivalent(X3,X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f8,f1]) ).
fof(f891,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X1,X0)),X2)),X2)),
inference(resolution,[],[f557,f2]) ).
fof(f557,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(equivalent(X2,equivalent(X2,X3)),X3))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f34,f1]) ).
fof(f34,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,equivalent(X2,X3)),X3))),equivalent(X1,X0))),
inference(resolution,[],[f25,f4]) ).
fof(f25,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),X1)),
inference(resolution,[],[f20,f2]) ).
fof(f256109,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X1,equivalent(X3,X3))),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f255821,f1]) ).
fof(f255821,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X0,equivalent(X2,X2))),X3)),X3)),
inference(resolution,[],[f21,f69166]) ).
fof(f69166,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X3,X1)),equivalent(X3,X2))),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f50360,f1]) ).
fof(f50360,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X2,X1))),X3),X3)),
inference(resolution,[],[f27754,f3173]) ).
fof(f3173,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X1,equivalent(X3,equivalent(equivalent(X4,equivalent(X5,X3)),equivalent(X5,X4))))),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f707,f1]) ).
fof(f707,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X0,equivalent(X2,equivalent(equivalent(X3,equivalent(X4,X2)),equivalent(X4,X3))))),X5)),X5)),
inference(resolution,[],[f99,f2]) ).
fof(f99,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(equivalent(X2,equivalent(X3,equivalent(X4,equivalent(equivalent(X5,equivalent(X6,X4)),equivalent(X6,X5))))),equivalent(X3,X2)))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f7,f1]) ).
fof(f27754,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(equivalent(X2,equivalent(X3,X3)),equivalent(X2,X1)))),
inference(resolution,[],[f11018,f557]) ).
fof(f11018,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X1)),equivalent(X0,X2)),equivalent(X3,equivalent(X3,X2)))),
inference(resolution,[],[f2705,f574]) ).
fof(f574,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(X2,equivalent(X2,equivalent(X3,X3))))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f37,f1]) ).
fof(f37,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X2,equivalent(X3,X3))))),equivalent(X1,X0))),
inference(resolution,[],[f30,f4]) ).
fof(f30,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
inference(resolution,[],[f20,f14]) ).
fof(f2705,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X0,X1)),equivalent(equivalent(X2,equivalent(X3,X1)),equivalent(X3,X2)))),
inference(resolution,[],[f2677,f10]) ).
fof(f2677,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,equivalent(X2,X1)),X0)))),
inference(resolution,[],[f921,f6]) ).
fof(f921,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X0,equivalent(equivalent(X2,equivalent(X2,X3)),X3)))))),
inference(resolution,[],[f557,f25]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,equivalent(X3,equivalent(X4,X4))),equivalent(X3,X2)))),equivalent(X1,X0))),
inference(resolution,[],[f17,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL024-1 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri May 3 14:27:46 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % (9706)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (9712)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.13/0.36 % (9709)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)
% 0.13/0.36 % (9710)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.13/0.36 % (9708)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.13/0.36 % (9711)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.13/0.36 % (9713)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)
% 0.13/0.36 % (9707)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [1]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [2]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.37 TRYING [3]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.13/0.38 TRYING [4]
% 0.19/0.47 TRYING [5]
% 0.19/0.48 TRYING [5]
% 0.19/0.48 TRYING [5]
% 0.19/0.49 TRYING [5]
% 16.43/2.69 TRYING [6]
% 17.35/2.83 TRYING [6]
% 17.35/2.84 TRYING [6]
% 17.35/2.84 TRYING [6]
% 36.95/5.63 % (9711)First to succeed.
% 36.95/5.63 % (9711)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9706"
% 36.95/5.64 % (9711)Refutation found. Thanks to Tanya!
% 36.95/5.64 % SZS status Unsatisfiable for theBenchmark
% 36.95/5.64 % SZS output start Proof for theBenchmark
% See solution above
% 36.95/5.64 % (9711)------------------------------
% 36.95/5.64 % (9711)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 36.95/5.64 % (9711)Termination reason: Refutation
% 36.95/5.64
% 36.95/5.64 % (9711)Memory used [KB]: 80678
% 36.95/5.64 % (9711)Time elapsed: 5.268 s
% 36.95/5.64 % (9711)Instructions burned: 21125 (million)
% 36.95/5.64 % (9706)Success in time 5.272 s
%------------------------------------------------------------------------------