TSTP Solution File: LCL085-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL085-1 : 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 : n017.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 13:40:25 EDT 2024
% Result : Unsatisfiable 59.06s 8.67s
% Output : Refutation 59.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 3
% Syntax : Number of formulae : 102 ( 66 unt; 0 def)
% Number of atoms : 139 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 75 ( 38 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 377 ( 377 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1163798,plain,
$false,
inference(resolution,[],[f1163435,f3]) ).
fof(f3,axiom,
~ is_a_theorem(implies(a,implies(implies(a,b),b))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ic_5) ).
fof(f1163435,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),X1))),
inference(resolution,[],[f1157614,f416793]) ).
fof(f416793,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X1,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f71298,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f71298,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,implies(X1,X2)),X3),implies(X1,implies(X1,X2))),implies(X0,implies(X1,X2)))),
inference(resolution,[],[f71222,f27140]) ).
fof(f27140,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X1,X2),X0),X1))),
inference(resolution,[],[f27110,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X2,X0),implies(X3,X0)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ic_JLukasiewicz) ).
fof(f27110,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X0,implies(X1,X2))))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f27041,f1]) ).
fof(f27041,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X1,implies(X0,X2)))),
inference(resolution,[],[f12827,f13719]) ).
fof(f13719,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X0,X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f13621,f1]) ).
fof(f13621,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))),
inference(resolution,[],[f12289,f11226]) ).
fof(f11226,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(implies(X0,X1),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f11035,f1]) ).
fof(f11035,plain,
! [X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),X0)),
inference(resolution,[],[f10763,f271]) ).
fof(f271,plain,
! [X0] : is_a_theorem(implies(X0,implies(X0,X0))),
inference(resolution,[],[f244,f2]) ).
fof(f244,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,implies(X0,X0))) ),
inference(resolution,[],[f221,f1]) ).
fof(f221,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X1,X1)))),
inference(resolution,[],[f209,f2]) ).
fof(f209,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(X1,implies(X1,X1)))) ),
inference(resolution,[],[f199,f1]) ).
fof(f199,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,implies(X2,X2))))),
inference(resolution,[],[f22,f30]) ).
fof(f30,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X3),implies(X3,implies(X2,X3))),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f11,f1]) ).
fof(f11,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X1,implies(X0,X1))),X2),implies(X3,X2))),
inference(resolution,[],[f8,f4]) ).
fof(f4,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f2,f1]) ).
fof(f8,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,implies(X1,X2))))),
inference(resolution,[],[f7,f5]) ).
fof(f5,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,[],[f4,f2]) ).
fof(f7,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,[],[f5,f1]) ).
fof(f22,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X2,implies(X1,X2))),implies(X3,implies(X2,implies(X1,X2))))),
inference(resolution,[],[f15,f4]) ).
fof(f15,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X1),implies(X2,X1))),
inference(resolution,[],[f12,f4]) ).
fof(f12,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))),
inference(resolution,[],[f9,f2]) ).
fof(f9,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(X0,X1),implies(X1,implies(X0,X1)))) ),
inference(resolution,[],[f8,f1]) ).
fof(f10763,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(implies(X0,X1),X0),X0)) ),
inference(resolution,[],[f10594,f1]) ).
fof(f10594,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))),
inference(resolution,[],[f10457,f271]) ).
fof(f10457,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),X1))) ),
inference(resolution,[],[f10414,f1]) ).
fof(f10414,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(implies(implies(X2,X3),X2),X2)))),
inference(resolution,[],[f3430,f813]) ).
fof(f813,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(implies(X2,X3),X2),implies(X4,X2)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f351,f1]) ).
fof(f351,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),implies(X2,X0)),X3),implies(X4,X3))),
inference(resolution,[],[f257,f4]) ).
fof(f257,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X2),X1),implies(X3,X1)))),
inference(resolution,[],[f67,f2]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X4,implies(X2,X5)),implies(implies(X1,X2),implies(X3,X2))))
| is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2)))) ),
inference(resolution,[],[f6,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(implies(X3,X1),implies(X4,X1))),implies(X5,implies(implies(X3,X1),implies(X4,X1))))),
inference(resolution,[],[f5,f4]) ).
fof(f3430,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(implies(X0,X1),X2)),implies(X3,implies(implies(X0,X1),X2)))),
inference(resolution,[],[f3347,f4]) ).
fof(f3347,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))),
inference(resolution,[],[f3301,f479]) ).
fof(f479,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f462,f15]) ).
fof(f462,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(X0,implies(X1,X0))) ),
inference(resolution,[],[f443,f1]) ).
fof(f443,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f389,f7]) ).
fof(f389,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X0),X1),implies(X2,X1))),
inference(resolution,[],[f367,f4]) ).
fof(f367,plain,
! [X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(X1,X1))),
inference(resolution,[],[f306,f11]) ).
fof(f306,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X2)
| is_a_theorem(implies(implies(X0,X1),implies(X1,X1))) ),
inference(resolution,[],[f260,f1]) ).
fof(f260,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X2,X2)))),
inference(resolution,[],[f67,f5]) ).
fof(f3301,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(implies(implies(X0,X1),X2),X1),implies(X0,X1))) ),
inference(resolution,[],[f3259,f1]) ).
fof(f3259,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),X3),X2),implies(X1,X2)))),
inference(resolution,[],[f3237,f2]) ).
fof(f3237,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(X2,X4)),implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f1303,f1]) ).
fof(f1303,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X3,X1)),implies(X4,implies(X3,X1)))),
inference(resolution,[],[f745,f4]) ).
fof(f745,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),implies(X1,X2)),implies(X3,implies(X1,X2)))),
inference(resolution,[],[f693,f4]) ).
fof(f693,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))),
inference(resolution,[],[f347,f11]) ).
fof(f347,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(X3)
| is_a_theorem(implies(implies(implies(X0,X1),X0),implies(X2,X0))) ),
inference(resolution,[],[f257,f1]) ).
fof(f12289,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X1,X2)))),
inference(resolution,[],[f12199,f11204]) ).
fof(f11204,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1)))),
inference(resolution,[],[f11035,f4]) ).
fof(f12199,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,implies(X1,X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f11204,f1]) ).
fof(f12827,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,implies(X0,X2))),implies(X3,implies(X1,implies(X0,X2))))),
inference(resolution,[],[f12760,f4]) ).
fof(f12760,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),X1)),
inference(resolution,[],[f12235,f11226]) ).
fof(f12235,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X2),X2))),
inference(resolution,[],[f12199,f512]) ).
fof(f512,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1))),
inference(resolution,[],[f479,f4]) ).
fof(f71222,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f71064,f1]) ).
fof(f71064,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))),X3),X3)),
inference(resolution,[],[f16116,f13719]) ).
fof(f16116,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,implies(X0,X1)),implies(X2,implies(X0,X1))),X3),implies(X4,X3))),
inference(resolution,[],[f15976,f4]) ).
fof(f15976,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X1,X2)),implies(X3,implies(X1,X2))))),
inference(resolution,[],[f15688,f2]) ).
fof(f15688,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(implies(X2,X3),X2),X2),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f10779,f1]) ).
fof(f10779,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),X0),X2),implies(X3,X2))),
inference(resolution,[],[f10594,f4]) ).
fof(f1157614,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X0),implies(implies(X0,X2),implies(X3,X2)))),
inference(resolution,[],[f1157170,f56270]) ).
fof(f56270,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X1,implies(implies(X1,X2),implies(X3,X2))),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f56131,f1]) ).
fof(f56131,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(implies(X0,X1),implies(X2,X1))),X3),X3)),
inference(resolution,[],[f28259,f13719]) ).
fof(f28259,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(X0,implies(implies(X0,X1),implies(X2,X1))),X3),implies(X4,X3))),
inference(resolution,[],[f28026,f27595]) ).
fof(f27595,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f27359,f2]) ).
fof(f27359,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,X0),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f27148,f1]) ).
fof(f27148,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f27110,f2441]) ).
fof(f2441,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,X0),X2),implies(X3,X2)))),
inference(resolution,[],[f2117,f2]) ).
fof(f2117,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X2,X0),implies(X3,X0)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f2042,f1]) ).
fof(f2042,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X1,X3))),
inference(resolution,[],[f1075,f693]) ).
fof(f1075,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(X4)
| is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(X1,X3))) ),
inference(resolution,[],[f523,f1]) ).
fof(f523,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(implies(implies(X1,X2),implies(X3,X2)),X4),implies(X2,X4)))),
inference(resolution,[],[f113,f2]) ).
fof(f113,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ is_a_theorem(implies(implies(X4,implies(implies(X5,X2),implies(X6,X2))),implies(X1,implies(X2,X3))))
| is_a_theorem(implies(X0,implies(X1,implies(X2,X3)))) ),
inference(resolution,[],[f65,f1]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X6,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(implies(X1,X2),implies(X3,X2))),implies(X4,implies(X2,X5))),implies(X6,implies(X4,implies(X2,X5))))),
inference(resolution,[],[f6,f4]) ).
fof(f28026,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(X0)
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f27595,f1]) ).
fof(f1157170,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(implies(X0,X2),X0),X1))),
inference(resolution,[],[f1156858,f524754]) ).
fof(f524754,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),X0))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) ),
inference(resolution,[],[f29001,f1]) ).
fof(f29001,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),X0),implies(implies(X0,X1),implies(X2,X1)))),
inference(resolution,[],[f28451,f27595]) ).
fof(f28451,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X2,X0))
| is_a_theorem(implies(implies(implies(X0,X1),X2),X0)) ),
inference(resolution,[],[f27140,f1]) ).
fof(f1156858,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(implies(implies(X1,X2),X1),X3)),implies(implies(X1,X2),X1)),X1)),
inference(resolution,[],[f122209,f44903]) ).
fof(f44903,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X1,X3),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f28414,f1]) ).
fof(f28414,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(implies(X1,X3),X1)),implies(X0,X1))),
inference(resolution,[],[f27140,f17927]) ).
fof(f17927,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(implies(X1,X2),X1),implies(X3,X1)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f13769,f1]) ).
fof(f13769,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X0),implies(X2,X0)),X3),X3)),
inference(resolution,[],[f13719,f351]) ).
fof(f122209,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(implies(X1,X2),X3)),implies(X1,X2)),X4),X2),implies(X1,X2))),
inference(resolution,[],[f106109,f50700]) ).
fof(f50700,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(X3,X2)),X0),X0)),
inference(resolution,[],[f28040,f13719]) ).
fof(f28040,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,X1),X2),implies(X3,X2)),X0),implies(X4,X0))),
inference(resolution,[],[f27595,f4]) ).
fof(f106109,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(X0,X1),X2),implies(implies(X3,implies(X1,X4)),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f41055,f1]) ).
fof(f41055,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),X2),implies(implies(X3,implies(X1,X4)),X1)),implies(X0,X1))),
inference(resolution,[],[f37416,f27140]) ).
fof(f37416,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)),X0))
| is_a_theorem(X0) ),
inference(resolution,[],[f13790,f1]) ).
fof(f13790,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)),X4),X4)),
inference(resolution,[],[f13719,f1525]) ).
fof(f1525,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X2)),X1),implies(X3,X1)),X4),implies(X5,X4))),
inference(resolution,[],[f936,f4]) ).
fof(f936,plain,
! [X2,X3,X0,X1,X4] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),X2),implies(X4,X2)))),
inference(resolution,[],[f888,f2]) ).
fof(f888,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(X2,implies(X3,X2)),X1))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f465,f1]) ).
fof(f465,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2))),
inference(resolution,[],[f443,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : LCL085-1 : TPTP v8.1.2. Released v1.0.0.
% 0.01/0.08 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.07/0.26 % Computer : n017.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Mon Apr 29 22:31:18 EDT 2024
% 0.07/0.26 % CPUTime :
% 0.07/0.27 % (20434)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.28 % (20442)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)
% 0.12/0.28 % (20440)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.12/0.28 % (20441)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.12/0.28 % (20436)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.12/0.28 % (20437)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.12/0.28 % (20438)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)
% 0.12/0.28 % (20439)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.12/0.28 TRYING [1]
% 0.12/0.28 TRYING [1]
% 0.12/0.28 TRYING [1]
% 0.12/0.28 TRYING [1]
% 0.12/0.28 TRYING [2]
% 0.12/0.28 TRYING [2]
% 0.12/0.28 TRYING [2]
% 0.12/0.28 TRYING [2]
% 0.12/0.28 TRYING [3]
% 0.12/0.28 TRYING [3]
% 0.12/0.28 TRYING [3]
% 0.12/0.28 TRYING [3]
% 0.12/0.28 TRYING [4]
% 0.12/0.28 TRYING [4]
% 0.12/0.28 TRYING [4]
% 0.12/0.28 TRYING [4]
% 0.12/0.30 TRYING [5]
% 0.12/0.30 TRYING [5]
% 0.12/0.30 TRYING [5]
% 0.12/0.30 TRYING [5]
% 0.12/0.52 TRYING [6]
% 0.12/0.54 TRYING [6]
% 0.12/0.54 TRYING [6]
% 2.54/0.63 TRYING [6]
% 58.48/8.64 TRYING [7]
% 58.48/8.66 % (20440)First to succeed.
% 59.06/8.67 % (20440)Refutation found. Thanks to Tanya!
% 59.06/8.67 % SZS status Unsatisfiable for theBenchmark
% 59.06/8.67 % SZS output start Proof for theBenchmark
% See solution above
% 59.06/8.67 % (20440)------------------------------
% 59.06/8.67 % (20440)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 59.06/8.67 % (20440)Termination reason: Refutation
% 59.06/8.67
% 59.06/8.67 % (20440)Memory used [KB]: 37747
% 59.06/8.67 % (20440)Time elapsed: 8.393 s
% 59.06/8.67 % (20440)Instructions burned: 33971 (million)
% 59.06/8.67 % (20440)------------------------------
% 59.06/8.67 % (20440)------------------------------
% 59.06/8.67 % (20434)Success in time 8.198 s
%------------------------------------------------------------------------------