TSTP Solution File: LCL166-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL166-1 : 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 : n021.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 13:40:41 EDT 2024
% Result : Unsatisfiable 137.83s 20.17s
% Output : Refutation 137.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 3
% Syntax : Number of formulae : 93 ( 61 unt; 0 def)
% Number of atoms : 126 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 34 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 13 ( 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 : 437 ( 437 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f640796,plain,
$false,
inference(resolution,[],[f640478,f3]) ).
fof(f3,axiom,
~ is_a_theorem(equivalent(equivalent(equivalent(a,b),c),equivalent(b,equivalent(c,a)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_um) ).
fof(f640478,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X2,X0)))),
inference(resolution,[],[f80888,f1595]) ).
fof(f1595,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X4),X2)),equivalent(X0,X1)),X4)))
| is_a_theorem(X0) ),
inference(resolution,[],[f1578,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(f1578,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X3),X1)),equivalent(X4,X0)),X3)),X4)),
inference(resolution,[],[f1555,f271]) ).
fof(f271,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7))))),X2)),
inference(resolution,[],[f217,f2]) ).
fof(f2,axiom,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xhn) ).
fof(f217,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(X7,X0))
| is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2))),equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5))))),X7)) ),
inference(resolution,[],[f121,f1]) ).
fof(f121,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3))),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6))))),X0))),
inference(resolution,[],[f104,f4]) ).
fof(f4,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0))) ),
inference(resolution,[],[f2,f1]) ).
fof(f104,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),
inference(resolution,[],[f103,f11]) ).
fof(f11,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1)),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4)))))
| is_a_theorem(X0) ),
inference(resolution,[],[f8,f1]) ).
fof(f8,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4)))),X2)),
inference(resolution,[],[f6,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(X4,X0))
| is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))),X4)) ),
inference(resolution,[],[f5,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3)))),X0))),
inference(resolution,[],[f4,f2]) ).
fof(f103,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),X0)),X2)),
inference(subsumption_resolution,[],[f100,f2]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),X0)),X2))
| ~ is_a_theorem(equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))) ),
inference(resolution,[],[f36,f1]) ).
fof(f36,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))),equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,equivalent(X5,equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7))))),X3)),X5))),
inference(resolution,[],[f22,f8]) ).
fof(f22,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3)))),X0),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f9,f1]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))),X4),equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6)))),equivalent(X4,X0))),
inference(resolution,[],[f6,f5]) ).
fof(f1555,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,X0)),X1)),X3))
| is_a_theorem(X0) ),
inference(resolution,[],[f1526,f1]) ).
fof(f1526,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X3)),X0)),X2),X3)),
inference(resolution,[],[f838,f111]) ).
fof(f111,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X0,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),X1)))
| is_a_theorem(X0) ),
inference(resolution,[],[f103,f1]) ).
fof(f838,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X4,X5)),X2)),X4),X5),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7))))),X0))),
inference(resolution,[],[f819,f526]) ).
fof(f526,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(X2,equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7)))))
| is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),X0))) ),
inference(resolution,[],[f110,f1]) ).
fof(f110,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))),equivalent(equivalent(X4,X5),equivalent(equivalent(X5,equivalent(X0,equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7))))),X4)))),
inference(resolution,[],[f103,f6]) ).
fof(f819,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X3)),X0)),X2),X3),equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5))))),
inference(resolution,[],[f166,f134]) ).
fof(f134,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X6),X4)),X0),X6))
| is_a_theorem(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2))))) ),
inference(resolution,[],[f126,f1]) ).
fof(f126,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),X3),X2),equivalent(X3,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))))),
inference(resolution,[],[f111,f36]) ).
fof(f166,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))),equivalent(X2,X0)),equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7))))),
inference(resolution,[],[f134,f103]) ).
fof(f80888,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,X0)),X1)),X3))),
inference(resolution,[],[f80635,f1940]) ).
fof(f1940,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3))),X0),X1))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f1909,f1]) ).
fof(f1909,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1))),X3),X4),equivalent(X3,X4))),
inference(resolution,[],[f1556,f1595]) ).
fof(f1556,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,X1),X2)))),equivalent(equivalent(equivalent(X4,X5),equivalent(equivalent(X5,equivalent(X6,X0)),X4)),X6))),
inference(resolution,[],[f1526,f6]) ).
fof(f80635,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),X2),X1),equivalent(X2,X0))),
inference(resolution,[],[f79950,f1641]) ).
fof(f1641,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(equivalent(X2,X0),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4))))))),
inference(resolution,[],[f1595,f32]) ).
fof(f32,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,equivalent(X0,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5)))))),X1)),X3))),
inference(resolution,[],[f22,f5]) ).
fof(f79950,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X1,X2)))))
| is_a_theorem(X0) ),
inference(resolution,[],[f78672,f1]) ).
fof(f78672,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,equivalent(X1,X2)))),X0)),
inference(resolution,[],[f77168,f69433]) ).
fof(f69433,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X0,X1))),equivalent(X2,X2))),
inference(resolution,[],[f69202,f15873]) ).
fof(f15873,plain,
! [X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(equivalent(X0,equivalent(X1,X1))) ),
inference(resolution,[],[f15770,f1]) ).
fof(f15770,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X0,equivalent(X1,X1)))),
inference(resolution,[],[f15360,f1213]) ).
fof(f1213,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,equivalent(equivalent(X2,equivalent(X0,X1)),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4)))))))
| is_a_theorem(X0) ),
inference(resolution,[],[f1201,f1]) ).
fof(f1201,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(equivalent(X1,equivalent(X2,X0)),equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4)))))),X2)),
inference(resolution,[],[f727,f5]) ).
fof(f727,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1)),equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,equivalent(X5,equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7))))),X3)),X5)))
| is_a_theorem(X0) ),
inference(resolution,[],[f248,f1]) ).
fof(f248,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,X2),X0)),equivalent(equivalent(equivalent(X3,X4),equivalent(equivalent(X4,equivalent(X5,equivalent(X6,equivalent(equivalent(X7,X8),equivalent(equivalent(X8,X6),X7))))),X3)),X5)),X2)),
inference(resolution,[],[f206,f2]) ).
fof(f206,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(equivalent(X7,X0))
| is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,equivalent(X4,equivalent(equivalent(X5,X6),equivalent(equivalent(X6,X4),X5))))),X1)),X3)),X7)) ),
inference(resolution,[],[f113,f1]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X4,equivalent(X5,equivalent(equivalent(X6,X7),equivalent(equivalent(X7,X5),X6))))),X2)),X4)),X0))),
inference(resolution,[],[f103,f4]) ).
fof(f15360,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),X1),equivalent(equivalent(X1,equivalent(X2,X2)),equivalent(X3,X3)))),
inference(resolution,[],[f15297,f6359]) ).
fof(f6359,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X2,X0),X1))
| is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(X3,X3)))) ),
inference(resolution,[],[f6301,f1]) ).
fof(f6301,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X2),equivalent(X1,equivalent(equivalent(X2,X0),equivalent(X3,X3))))),
inference(resolution,[],[f2076,f1595]) ).
fof(f2076,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,equivalent(X0,equivalent(X4,X4)))),X1)),X3))),
inference(resolution,[],[f2015,f22]) ).
fof(f2015,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,X2)),X0))),
inference(resolution,[],[f1902,f1555]) ).
fof(f1902,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(equivalent(X3,X4),equivalent(equivalent(X4,X2),X3)))),X0)),equivalent(X5,X5))),
inference(resolution,[],[f1556,f111]) ).
fof(f15297,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X0),equivalent(equivalent(X1,X1),X2)),X2)),
inference(resolution,[],[f15162,f6301]) ).
fof(f15162,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,X3)),X1))))
| is_a_theorem(X0) ),
inference(resolution,[],[f15092,f1]) ).
fof(f15092,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,X3)),X1))),X0)),
inference(resolution,[],[f2102,f2213]) ).
fof(f2213,plain,
! [X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,X1)))
| is_a_theorem(X0) ),
inference(resolution,[],[f2140,f1]) ).
fof(f2140,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X0)),
inference(resolution,[],[f2089,f2043]) ).
fof(f2043,plain,
! [X0] : is_a_theorem(equivalent(X0,X0)),
inference(subsumption_resolution,[],[f2020,f5]) ).
fof(f2020,plain,
! [X2,X3,X0,X1,X4,X5] :
( is_a_theorem(equivalent(X0,X0))
| ~ is_a_theorem(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,equivalent(X3,equivalent(equivalent(X4,X5),equivalent(equivalent(X5,X3),X4)))),X1))) ),
inference(resolution,[],[f1902,f1]) ).
fof(f2089,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X2,X0))
| is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),X2)) ),
inference(resolution,[],[f2015,f1]) ).
fof(f2102,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(equivalent(X2,X3),equivalent(equivalent(X3,equivalent(X4,X4)),X2))),X0))),
inference(resolution,[],[f2015,f4]) ).
fof(f69202,plain,
! [X0,X1] : is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X0,X1)))),
inference(resolution,[],[f63172,f1213]) ).
fof(f63172,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X0)),X1),X2),equivalent(X2,equivalent(X3,X3)))),
inference(resolution,[],[f50563,f60241]) ).
fof(f60241,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X1)),X2),equivalent(X0,equivalent(X3,X3))))
| is_a_theorem(X0) ),
inference(resolution,[],[f43162,f1]) ).
fof(f43162,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X0)),X1),equivalent(X2,equivalent(X3,X3))),X2)),
inference(resolution,[],[f34315,f2567]) ).
fof(f2567,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(equivalent(X1,equivalent(X2,X2)),X0),equivalent(X3,X3)))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f2182,f1]) ).
fof(f2182,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(equivalent(X0,equivalent(X1,X1)),X2),equivalent(X3,X3)),equivalent(X2,X0))),
inference(resolution,[],[f2089,f2015]) ).
fof(f34315,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,X1)),X2),X0)),equivalent(X3,X3))),
inference(resolution,[],[f27603,f18361]) ).
fof(f18361,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X0)),equivalent(X2,X2)),equivalent(X1,equivalent(X3,X3)))),
inference(resolution,[],[f18168,f2089]) ).
fof(f18168,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),equivalent(X2,equivalent(X0,X2)))),
inference(resolution,[],[f18006,f2089]) ).
fof(f18006,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X0)),X1)),
inference(resolution,[],[f17926,f6301]) ).
fof(f17926,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X2,X2)))))
| is_a_theorem(X0) ),
inference(resolution,[],[f17851,f1]) ).
fof(f17851,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X1,equivalent(X2,X2)))),X0)),
inference(resolution,[],[f15890,f2213]) ).
fof(f15890,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,X1),equivalent(equivalent(X1,equivalent(X2,equivalent(X2,equivalent(X3,X3)))),X0))),
inference(resolution,[],[f15770,f4]) ).
fof(f27603,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,X1)),X2),equivalent(X3,X3))))
| is_a_theorem(X0) ),
inference(resolution,[],[f18208,f1]) ).
fof(f18208,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,equivalent(X2,X1)),X2),equivalent(X3,X3))),X0)),
inference(resolution,[],[f18006,f2952]) ).
fof(f2952,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(equivalent(equivalent(X0,equivalent(X1,equivalent(X2,X2))),X0)) ),
inference(resolution,[],[f2902,f1]) ).
fof(f2902,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,equivalent(X2,X2))),X1))),
inference(resolution,[],[f2567,f1526]) ).
fof(f50563,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X0,X1),equivalent(X1,equivalent(X2,X2))),equivalent(X3,X3)))),
inference(resolution,[],[f50276,f6359]) ).
fof(f50276,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,equivalent(X1,X1)),X2),equivalent(X2,X0))),
inference(resolution,[],[f38109,f1595]) ).
fof(f38109,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(equivalent(X1,X2),equivalent(equivalent(X2,X0),X1)),equivalent(X3,X3)))),
inference(resolution,[],[f21054,f1595]) ).
fof(f21054,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(X0,equivalent(equivalent(X1,equivalent(equivalent(X2,equivalent(X1,equivalent(X3,X3))),X2)),X0))),
inference(resolution,[],[f16044,f18347]) ).
fof(f18347,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,X2)))
| is_a_theorem(equivalent(X0,equivalent(X1,X0))) ),
inference(resolution,[],[f18168,f1]) ).
fof(f16044,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(X1,equivalent(X0,equivalent(X2,X2))),X1)),equivalent(X3,X3))),
inference(resolution,[],[f15873,f2902]) ).
fof(f77168,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(X2,X2)))
| is_a_theorem(equivalent(equivalent(X0,X1),X0)) ),
inference(resolution,[],[f76449,f1]) ).
fof(f76449,plain,
! [X2,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(X1,X1)),equivalent(equivalent(X2,X0),X2))),
inference(resolution,[],[f76070,f2089]) ).
fof(f76070,plain,
! [X0,X1] : is_a_theorem(equivalent(equivalent(equivalent(X0,X1),X0),X1)),
inference(resolution,[],[f64706,f38109]) ).
fof(f64706,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(equivalent(X1,equivalent(equivalent(equivalent(X2,X2),X0),equivalent(X3,X3))))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f51277,f1]) ).
fof(f51277,plain,
! [X2,X3,X0,X1] : is_a_theorem(equivalent(equivalent(X0,equivalent(equivalent(equivalent(X1,X1),X2),equivalent(X3,X3))),equivalent(X2,X0))),
inference(resolution,[],[f50610,f6301]) ).
fof(f50610,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(equivalent(equivalent(X1,equivalent(X2,X2)),X0))
| is_a_theorem(equivalent(X0,X1)) ),
inference(resolution,[],[f50276,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : LCL166-1 : TPTP v8.1.2. Released v1.0.0.
% 0.06/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.37 % Computer : n021.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Mon Apr 29 22:36:25 EDT 2024
% 0.14/0.37 % CPUTime :
% 0.14/0.37 % (19963)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.39 % (19970)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)
% 0.14/0.39 % (19969)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.39 % (19968)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.39 % (19967)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.39 % (19965)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 % (19964)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (19966)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)
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [1]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.14/0.39 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.14/0.40 TRYING [4]
% 0.21/0.52 TRYING [5]
% 0.21/0.55 TRYING [5]
% 0.21/0.56 TRYING [5]
% 0.21/0.58 TRYING [5]
% 72.40/10.81 TRYING [6]
% 109.22/16.08 TRYING [6]
% 110.85/16.34 TRYING [6]
% 112.62/16.53 TRYING [6]
% 137.83/20.16 % (19968)First to succeed.
% 137.83/20.17 % (19968)Refutation found. Thanks to Tanya!
% 137.83/20.17 % SZS status Unsatisfiable for theBenchmark
% 137.83/20.17 % SZS output start Proof for theBenchmark
% See solution above
% 137.83/20.17 % (19968)------------------------------
% 137.83/20.17 % (19968)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 137.83/20.17 % (19968)Termination reason: Refutation
% 137.83/20.17
% 137.83/20.17 % (19968)Memory used [KB]: 165642
% 137.83/20.17 % (19968)Time elapsed: 19.766 s
% 137.83/20.17 % (19968)Instructions burned: 56301 (million)
% 137.83/20.17 % (19968)------------------------------
% 137.83/20.17 % (19968)------------------------------
% 137.83/20.17 % (19963)Success in time 19.712 s
%------------------------------------------------------------------------------