TSTP Solution File: LCL018-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL018-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n009.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 May 21 00:24:25 EDT 2024
% Result : Unsatisfiable 41.60s 6.31s
% Output : Refutation 41.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of formulae : 83 ( 55 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 59 ( 30 ~; 29 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 10 ( 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 : 324 ( 324 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f244939,plain,
$false,
inference(resolution,[],[f209957,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,equivalent(b,c)),c),equivalent(b,a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_pyo) ).
fof(f209957,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X2),equivalent(X1,X0))),
inference(resolution,[],[f159587,f151257]) ).
fof(f151257,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),X1))
| is_a_theorem(equivalent(X0,equivalent(X1,X2))) ),
inference(resolution,[],[f90714,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f90714,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))),
inference(resolution,[],[f46872,f1038]) ).
fof(f1038,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,equivalent(X3,equivalent(X1,equivalent(X2,X0)))),X3))),
inference(resolution,[],[f938,f907]) ).
fof(f907,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),X2)),equivalent(X3,X1)),X0)),
inference(resolution,[],[f882,f179]) ).
fof(f179,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X1),X3),X2)),equivalent(X0,X3)))
| is_a_theorem(X0) ),
inference(resolution,[],[f168,f1]) ).
fof(f168,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X1)),equivalent(X3,X2)),X3)),
inference(resolution,[],[f163,f29]) ).
fof(f29,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X1,equivalent(X2,X0)),X2),equivalent(equivalent(equivalent(X3,equivalent(X4,X5)),X4),equivalent(X5,X3))))),
inference(resolution,[],[f13,f4]) ).
fof(f4,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X0)),X2))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f2,f1]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),equivalent(X2,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pym) ).
fof(f13,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),X2),equivalent(X3,X1))),equivalent(equivalent(equivalent(X4,equivalent(X5,X6)),X5),equivalent(X6,X4))),X0)),
inference(resolution,[],[f9,f2]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,equivalent(X3,X4)),X3),equivalent(X4,X2))),X0)) ),
inference(resolution,[],[f7,f1]) ).
fof(f7,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),equivalent(equivalent(equivalent(X2,equivalent(X3,X4)),X3),equivalent(X4,X2))),X1))),
inference(resolution,[],[f6,f2]) ).
fof(f6,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X1))) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(X2,X1),X0),X2)))),
inference(resolution,[],[f4,f2]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(X0,equivalent(equivalent(X2,equivalent(X3,X1)),X3))))
| is_a_theorem(X0) ),
inference(resolution,[],[f158,f1]) ).
fof(f158,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(X1,equivalent(X3,X0)),X3))),X2)),
inference(resolution,[],[f147,f136]) ).
fof(f136,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),X2),equivalent(X3,X1))),X4),X0),X4)),
inference(resolution,[],[f82,f4]) ).
fof(f82,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(equivalent(X2,X1),X0),X2))),equivalent(equivalent(equivalent(X3,equivalent(X4,X5)),X4),equivalent(X5,X3)))),
inference(resolution,[],[f77,f46]) ).
fof(f46,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X1,equivalent(X2,X0)),X2),equivalent(X3,equivalent(X4,equivalent(equivalent(equivalent(X5,X4),X3),X5)))))),
inference(resolution,[],[f14,f4]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(equivalent(X3,X2),X1),X3)))),equivalent(equivalent(equivalent(X4,equivalent(X5,X6)),X5),equivalent(X6,X4))),X0)),
inference(resolution,[],[f9,f5]) ).
fof(f77,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(X5,X4),X0),X5)))
| is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),X2),equivalent(X3,X1)))) ),
inference(resolution,[],[f67,f1]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X1)),equivalent(X2,equivalent(equivalent(equivalent(X3,equivalent(X4,X5)),X4),equivalent(X5,X3))))),
inference(resolution,[],[f17,f4]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,X3)),X2),equivalent(X3,X1))),equivalent(X4,equivalent(X5,equivalent(equivalent(equivalent(X6,X5),X4),X6)))),X0)),
inference(resolution,[],[f11,f2]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X3,equivalent(equivalent(equivalent(X4,X3),X2),X4)))),X0)) ),
inference(resolution,[],[f8,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),equivalent(X2,equivalent(X3,equivalent(equivalent(equivalent(X4,X3),X2),X4)))),X1))),
inference(resolution,[],[f6,f5]) ).
fof(f147,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,equivalent(X3,X4)),X3),equivalent(X4,X2))),X0),X1))
| is_a_theorem(X0) ),
inference(resolution,[],[f136,f1]) ).
fof(f882,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X0,equivalent(equivalent(X2,equivalent(X3,X4)),X3)),equivalent(X4,X2)))),X1)),
inference(resolution,[],[f40,f489]) ).
fof(f489,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(equivalent(X3,equivalent(X4,X5)),X4),equivalent(X5,X3))),X1),equivalent(X0,X2)))
| is_a_theorem(X0) ),
inference(resolution,[],[f186,f1]) ).
fof(f186,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(equivalent(X2,equivalent(X3,X4)),X3),equivalent(X4,X2))),X0),equivalent(X5,X1)),X5)),
inference(resolution,[],[f179,f29]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X1)),equivalent(X3,X2)),X3),equivalent(equivalent(equivalent(X4,equivalent(X5,X6)),X5),equivalent(X6,X4)))),
inference(resolution,[],[f34,f5]) ).
fof(f34,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),equivalent(equivalent(equivalent(X3,equivalent(X4,X5)),X4),equivalent(X5,X3)))) ),
inference(resolution,[],[f29,f1]) ).
fof(f938,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,X3)),X2)),equivalent(X3,X1)))
| is_a_theorem(X0) ),
inference(resolution,[],[f907,f1]) ).
fof(f46872,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(X2,X0),equivalent(X1,X2))))
| is_a_theorem(X0) ),
inference(resolution,[],[f21123,f1]) ).
fof(f21123,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X0,X1))),X2)),
inference(resolution,[],[f10393,f3636]) ).
fof(f3636,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X1,X0))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f3587,f1]) ).
fof(f3587,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(X1,X0))),
inference(resolution,[],[f2974,f4]) ).
fof(f2974,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X1,X2))),X0)),
inference(resolution,[],[f2531,f1483]) ).
fof(f1483,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X0),X2),X1),X2))),
inference(resolution,[],[f1388,f130]) ).
fof(f130,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),equivalent(X2,X0)),equivalent(X3,equivalent(X4,equivalent(equivalent(equivalent(X5,X4),X3),X5))))),
inference(resolution,[],[f125,f29]) ).
fof(f125,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(equivalent(X4,equivalent(equivalent(equivalent(X5,X4),X0),X5)))
| is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(equivalent(X3,X2),X1),X3))))) ),
inference(resolution,[],[f94,f1]) ).
fof(f94,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X0),X2),X1)),equivalent(X2,equivalent(X3,equivalent(X4,equivalent(equivalent(equivalent(X5,X4),X3),X5)))))),
inference(resolution,[],[f18,f4]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(equivalent(equivalent(X3,X2),X1),X3)))),equivalent(X4,equivalent(X5,equivalent(equivalent(equivalent(X6,X5),X4),X6)))),X0)),
inference(resolution,[],[f11,f5]) ).
fof(f1388,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X2,X0),X1),X2))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f1349,f1]) ).
fof(f1349,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X0),equivalent(X1,X2))),
inference(resolution,[],[f1322,f4]) ).
fof(f1322,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(equivalent(equivalent(X3,X2),X1),X3))),X0)),
inference(resolution,[],[f883,f179]) ).
fof(f883,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X0,X2),equivalent(X3,equivalent(equivalent(equivalent(X4,X3),X2),X4))))),X1)),
inference(resolution,[],[f40,f505]) ).
fof(f505,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(X3,equivalent(X4,equivalent(equivalent(equivalent(X5,X4),X3),X5)))),X1),equivalent(X0,X2)))
| is_a_theorem(X0) ),
inference(resolution,[],[f187,f1]) ).
fof(f187,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,equivalent(X3,equivalent(equivalent(equivalent(X4,X3),X2),X4)))),X0),equivalent(X5,X1)),X5)),
inference(resolution,[],[f179,f46]) ).
fof(f2531,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(X2,equivalent(X1,X2)))))
| is_a_theorem(X0) ),
inference(resolution,[],[f1491,f1]) ).
fof(f1491,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,X2)))),X1)),
inference(resolution,[],[f1477,f1124]) ).
fof(f1124,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X3,X2))
| is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X0,X3)))),X1)) ),
inference(resolution,[],[f1038,f1]) ).
fof(f1477,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(resolution,[],[f1388,f1349]) ).
fof(f10393,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X0),equivalent(X1,X2))))),
inference(resolution,[],[f3747,f4]) ).
fof(f3747,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X0,X2))),X1),X2)),
inference(resolution,[],[f3636,f1409]) ).
fof(f1409,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X2,equivalent(X1,X0))),X2))),
inference(resolution,[],[f1377,f4]) ).
fof(f1377,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),X2),X0)),
inference(resolution,[],[f1349,f938]) ).
fof(f159587,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X0,equivalent(X1,X2)),X2)),X1)),
inference(resolution,[],[f97546,f25266]) ).
fof(f25266,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X2),X0),X1)),
inference(resolution,[],[f12262,f3636]) ).
fof(f12262,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X0,X2)),X2),X1))),
inference(resolution,[],[f6442,f221]) ).
fof(f221,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(X1,equivalent(X0,equivalent(equivalent(X2,equivalent(equivalent(equivalent(X3,X2),X4),X3)),equivalent(X1,X4)))))
| is_a_theorem(X0) ),
inference(resolution,[],[f170,f1]) ).
fof(f170,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,equivalent(equivalent(equivalent(X3,X2),X4),X3)),equivalent(X0,X4)))),X1)),
inference(resolution,[],[f163,f82]) ).
fof(f6442,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X2)))),
inference(resolution,[],[f4719,f3636]) ).
fof(f4719,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X2,X1),X2)),X0)),
inference(resolution,[],[f3429,f1349]) ).
fof(f3429,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X1),X2))))
| is_a_theorem(X0) ),
inference(resolution,[],[f1651,f1]) ).
fof(f1651,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X1),X2))),X0)),
inference(resolution,[],[f1594,f1548]) ).
fof(f1548,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X0),X1))),
inference(resolution,[],[f1415,f1377]) ).
fof(f1415,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),X1),X2))
| is_a_theorem(X0) ),
inference(resolution,[],[f1377,f1]) ).
fof(f1594,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,X1),X0)) ),
inference(resolution,[],[f1548,f1]) ).
fof(f97546,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,X0),X2))
| is_a_theorem(equivalent(equivalent(X0,X1),X2)) ),
inference(resolution,[],[f50679,f1]) ).
fof(f50679,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(equivalent(X1,X0),X2))),
inference(resolution,[],[f23648,f6845]) ).
fof(f6845,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2),X0)),
inference(resolution,[],[f4816,f3636]) ).
fof(f4816,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X2,X1)),X2))),
inference(resolution,[],[f3554,f907]) ).
fof(f3554,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X1))),X2))
| is_a_theorem(X0) ),
inference(resolution,[],[f2973,f1]) ).
fof(f2973,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X1))),X2),X0)),
inference(resolution,[],[f2531,f1380]) ).
fof(f1380,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),X0),X1),X2))),
inference(resolution,[],[f1349,f4]) ).
fof(f23648,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)))
| is_a_theorem(X0) ),
inference(resolution,[],[f11800,f1]) ).
fof(f11800,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X2)),equivalent(X2,X1)),X0)),
inference(resolution,[],[f6180,f1349]) ).
fof(f6180,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X2,X1))))
| is_a_theorem(X0) ),
inference(resolution,[],[f3654,f1]) ).
fof(f3654,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X2,X1))),X0)),
inference(resolution,[],[f3587,f1594]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL018-1 : TPTP v8.2.0. Released v1.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n009.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 00:57:52 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.36 % (2702)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.38 % (2705)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)
% 0.16/0.38 % (2707)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.16/0.38 % (2704)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.38 % (2706)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.16/0.38 % (2703)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [1]
% 0.16/0.38 % (2708)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 % (2709)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)
% 0.16/0.38 TRYING [1]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 TRYING [3]
% 0.16/0.38 TRYING [2]
% 0.16/0.38 TRYING [3]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 TRYING [4]
% 0.16/0.39 TRYING [4]
% 0.22/0.56 TRYING [5]
% 0.22/0.58 TRYING [5]
% 0.22/0.59 TRYING [5]
% 2.04/0.65 TRYING [5]
% 41.60/6.30 % (2707)First to succeed.
% 41.60/6.31 % (2707)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2702"
% 41.60/6.31 % (2707)Refutation found. Thanks to Tanya!
% 41.60/6.31 % SZS status Unsatisfiable for theBenchmark
% 41.60/6.31 % SZS output start Proof for theBenchmark
% See solution above
% 41.60/6.31 % (2707)------------------------------
% 41.60/6.31 % (2707)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 41.60/6.31 % (2707)Termination reason: Refutation
% 41.60/6.31
% 41.60/6.31 % (2707)Memory used [KB]: 74040
% 41.60/6.31 % (2707)Time elapsed: 5.931 s
% 41.60/6.31 % (2707)Instructions burned: 16366 (million)
% 41.60/6.31 % (2702)Success in time 5.913 s
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