TSTP Solution File: LCL396-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL396-1 : TPTP v3.4.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory : 1003MB
% OS : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May 6 13:49:09 EDT 2009
% Result : Unsatisfiable 260.1s
% Output : Refutation 260.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 61 ( 38 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 29 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 151 ( 44 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(condensed_detachment,plain,
! [A,B] :
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL396-1.tptp',unknown),
[] ).
cnf(173802320,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL396-1.tptp',unknown),
[] ).
cnf(173811168,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(181594144,plain,
( ~ is_a_theorem(implies(not(A),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[173802320,173811168]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL396-1.tptp',unknown),
[] ).
cnf(173815144,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(181731760,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[173802320,173815144]),
[] ).
fof(cn_1,plain,
! [A,B,C] : is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL396-1.tptp',unknown),
[] ).
cnf(173807176,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(182852608,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[181731760,173807176]),
[] ).
cnf(187474024,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[182852608,173802320]),
[] ).
cnf(187501400,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))
| is_a_theorem(D) ),
inference(resolution,[status(thm)],[182852608,173802320]),
[] ).
cnf(181783224,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[173802320,173807176]),
[] ).
cnf(183840280,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[181783224,173807176]),
[] ).
cnf(195610624,plain,
is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[187501400,183840280]),
[] ).
cnf(195984016,plain,
is_a_theorem(implies(A,implies(B,implies(not(A),C)))),
inference(resolution,[status(thm)],[187474024,195610624]),
[] ).
cnf(196374112,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,implies(not(A),C))) ),
inference(resolution,[status(thm)],[173802320,195984016]),
[] ).
cnf(181613664,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[173802320,173811168]),
[] ).
cnf(183851504,plain,
( ~ is_a_theorem(implies(A,implies(not(B),B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[181783224,181613664]),
[] ).
cnf(246501760,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[196374112,183851504]),
[] ).
cnf(246846488,plain,
( is_a_theorem(implies(A,implies(B,C)))
| ~ is_a_theorem(implies(B,implies(not(C),C))) ),
inference(resolution,[status(thm)],[246501760,183851504]),
[] ).
cnf(196456640,plain,
is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B))),
inference(resolution,[status(thm)],[181783224,195984016]),
[] ).
cnf(217718520,plain,
( ~ is_a_theorem(implies(implies(C,implies(not(A),D)),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[173802320,196456640]),
[] ).
cnf(195273016,plain,
( ~ is_a_theorem(implies(implies(implies(C,D),implies(B,D)),A))
| is_a_theorem(implies(implies(B,C),A)) ),
inference(resolution,[status(thm)],[173802320,183840280]),
[] ).
cnf(181699448,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[181613664,173807176]),
[] ).
cnf(182427304,plain,
( ~ is_a_theorem(implies(implies(implies(A,B),implies(implies(not(A),A),B)),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[181699448,173802320]),
[] ).
cnf(183876280,plain,
is_a_theorem(implies(implies(implies(implies(not(B),B),C),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[181783224,181699448]),
[] ).
cnf(193579072,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),C),A))
| is_a_theorem(implies(implies(B,C),A)) ),
inference(resolution,[status(thm)],[173802320,183876280]),
[] ).
cnf(187529784,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[182852608,181613664]),
[] ).
cnf(181712520,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[173802320,173815144]),
[] ).
cnf(187810656,plain,
is_a_theorem(implies(not(implies(A,A)),B)),
inference(resolution,[status(thm)],[187529784,181712520]),
[] ).
cnf(188243776,plain,
is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C))),
inference(resolution,[status(thm)],[187810656,181783224]),
[] ).
cnf(191328888,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[187474024,188243776]),
[] ).
cnf(191427872,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[181783224,191328888]),
[] ).
cnf(201816800,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[193579072,191427872]),
[] ).
cnf(202653616,plain,
is_a_theorem(implies(B,implies(implies(not(A),A),A))),
inference(resolution,[status(thm)],[182427304,201816800]),
[] ).
cnf(203306312,plain,
is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B))),
inference(resolution,[status(thm)],[181783224,202653616]),
[] ).
cnf(236018536,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[195273016,203306312]),
[] ).
cnf(378508256,plain,
is_a_theorem(implies(A,implies(C,implies(B,A)))),
inference(resolution,[status(thm)],[217718520,236018536]),
[] ).
cnf(379564296,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[173802320,378508256]),
[] ).
cnf(195735560,plain,
is_a_theorem(implies(implies(A,implies(not(C),C)),implies(implies(C,B),implies(A,B)))),
inference(resolution,[status(thm)],[195273016,183876280]),
[] ).
cnf(381910016,plain,
is_a_theorem(implies(implies(implies(B,A),C),implies(A,C))),
inference(resolution,[status(thm)],[379564296,195735560]),
[] ).
cnf(390659472,plain,
( ~ is_a_theorem(implies(implies(B,A),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[173802320,381910016]),
[] ).
cnf(195907480,plain,
is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A))),
inference(resolution,[status(thm)],[181783224,195610624]),
[] ).
cnf(333999640,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,C)),A))
| is_a_theorem(implies(implies(D,not(B)),A)) ),
inference(resolution,[status(thm)],[173802320,195907480]),
[] ).
cnf(379311960,plain,
is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[333999640,236018536]),
[] ).
cnf(580008200,plain,
is_a_theorem(implies(not(A),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[390659472,379311960]),
[] ).
cnf(582011424,plain,
is_a_theorem(implies(A,implies(not(B),implies(B,C)))),
inference(resolution,[status(thm)],[246846488,580008200]),
[] ).
cnf(582670584,plain,
is_a_theorem(implies(not(A),implies(A,B))),
inference(resolution,[status(thm)],[181594144,582011424]),
[] ).
cnf(586620608,plain,
is_a_theorem(implies(A,implies(not(not(B)),B))),
inference(resolution,[status(thm)],[246846488,582670584]),
[] ).
cnf(587307488,plain,
is_a_theorem(implies(not(not(A)),A)),
inference(resolution,[status(thm)],[181594144,586620608]),
[] ).
cnf(588876536,plain,
( ~ is_a_theorem(implies(implies(not(not(B)),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[173802320,587307488]),
[] ).
cnf(589824760,plain,
is_a_theorem(implies(B,implies(A,not(not(A))))),
inference(resolution,[status(thm)],[588876536,379311960]),
[] ).
cnf(182408080,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(not(A),A),B)) ),
inference(resolution,[status(thm)],[181699448,173802320]),
[] ).
cnf(190404096,plain,
is_a_theorem(implies(implies(not(not(implies(B,B))),not(implies(B,B))),A)),
inference(resolution,[status(thm)],[182408080,187810656]),
[] ).
fof(prove_cn_62,plain,
~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL396-1.tptp',unknown),
[] ).
cnf(173823016,plain,
~ is_a_theorem(implies(implies(not(not(x)),y),implies(x,y))),
inference(rewrite,[status(thm)],[prove_cn_62]),
[] ).
cnf(183809464,plain,
~ is_a_theorem(implies(x,not(not(x)))),
inference(resolution,[status(thm)],[181783224,173823016]),
[] ).
cnf(184066584,plain,
( ~ is_a_theorem(implies(A,implies(x,not(not(x)))))
| ~ is_a_theorem(A) ),
inference(resolution,[status(thm)],[183809464,173802320]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[589824760,190404096,184066584]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 270 seconds
% START OF PROOF SEQUENCE
% fof(condensed_detachment,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL396-1.tptp',unknown),[]).
%
% cnf(173802320,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL396-1.tptp',unknown),[]).
%
% cnf(173811168,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(181594144,plain,(~is_a_theorem(implies(not(A),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[173802320,173811168]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL396-1.tptp',unknown),[]).
%
% cnf(173815144,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(181731760,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[173802320,173815144]),[]).
%
% fof(cn_1,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL396-1.tptp',unknown),[]).
%
% cnf(173807176,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(182852608,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[181731760,173807176]),[]).
%
% cnf(187474024,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[182852608,173802320]),[]).
%
% cnf(187501400,plain,(~is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))|is_a_theorem(D)),inference(resolution,[status(thm)],[182852608,173802320]),[]).
%
% cnf(181783224,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[173802320,173807176]),[]).
%
% cnf(183840280,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[181783224,173807176]),[]).
%
% cnf(195610624,plain,(is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[187501400,183840280]),[]).
%
% cnf(195984016,plain,(is_a_theorem(implies(A,implies(B,implies(not(A),C))))),inference(resolution,[status(thm)],[187474024,195610624]),[]).
%
% cnf(196374112,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,implies(not(A),C)))),inference(resolution,[status(thm)],[173802320,195984016]),[]).
%
% cnf(181613664,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[173802320,173811168]),[]).
%
% cnf(183851504,plain,(~is_a_theorem(implies(A,implies(not(B),B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[181783224,181613664]),[]).
%
% cnf(246501760,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[196374112,183851504]),[]).
%
% cnf(246846488,plain,(is_a_theorem(implies(A,implies(B,C)))|~is_a_theorem(implies(B,implies(not(C),C)))),inference(resolution,[status(thm)],[246501760,183851504]),[]).
%
% cnf(196456640,plain,(is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B)))),inference(resolution,[status(thm)],[181783224,195984016]),[]).
%
% cnf(217718520,plain,(~is_a_theorem(implies(implies(C,implies(not(A),D)),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[173802320,196456640]),[]).
%
% cnf(195273016,plain,(~is_a_theorem(implies(implies(implies(C,D),implies(B,D)),A))|is_a_theorem(implies(implies(B,C),A))),inference(resolution,[status(thm)],[173802320,183840280]),[]).
%
% cnf(181699448,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[181613664,173807176]),[]).
%
% cnf(182427304,plain,(~is_a_theorem(implies(implies(implies(A,B),implies(implies(not(A),A),B)),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[181699448,173802320]),[]).
%
% cnf(183876280,plain,(is_a_theorem(implies(implies(implies(implies(not(B),B),C),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[181783224,181699448]),[]).
%
% cnf(193579072,plain,(~is_a_theorem(implies(implies(implies(not(B),B),C),A))|is_a_theorem(implies(implies(B,C),A))),inference(resolution,[status(thm)],[173802320,183876280]),[]).
%
% cnf(187529784,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[182852608,181613664]),[]).
%
% cnf(181712520,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[173802320,173815144]),[]).
%
% cnf(187810656,plain,(is_a_theorem(implies(not(implies(A,A)),B))),inference(resolution,[status(thm)],[187529784,181712520]),[]).
%
% cnf(188243776,plain,(is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C)))),inference(resolution,[status(thm)],[187810656,181783224]),[]).
%
% cnf(191328888,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[187474024,188243776]),[]).
%
% cnf(191427872,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[181783224,191328888]),[]).
%
% cnf(201816800,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[193579072,191427872]),[]).
%
% cnf(202653616,plain,(is_a_theorem(implies(B,implies(implies(not(A),A),A)))),inference(resolution,[status(thm)],[182427304,201816800]),[]).
%
% cnf(203306312,plain,(is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B)))),inference(resolution,[status(thm)],[181783224,202653616]),[]).
%
% cnf(236018536,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[195273016,203306312]),[]).
%
% cnf(378508256,plain,(is_a_theorem(implies(A,implies(C,implies(B,A))))),inference(resolution,[status(thm)],[217718520,236018536]),[]).
%
% cnf(379564296,plain,(~is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[173802320,378508256]),[]).
%
% cnf(195735560,plain,(is_a_theorem(implies(implies(A,implies(not(C),C)),implies(implies(C,B),implies(A,B))))),inference(resolution,[status(thm)],[195273016,183876280]),[]).
%
% cnf(381910016,plain,(is_a_theorem(implies(implies(implies(B,A),C),implies(A,C)))),inference(resolution,[status(thm)],[379564296,195735560]),[]).
%
% cnf(390659472,plain,(~is_a_theorem(implies(implies(B,A),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[173802320,381910016]),[]).
%
% cnf(195907480,plain,(is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A)))),inference(resolution,[status(thm)],[181783224,195610624]),[]).
%
% cnf(333999640,plain,(~is_a_theorem(implies(implies(B,implies(D,C)),A))|is_a_theorem(implies(implies(D,not(B)),A))),inference(resolution,[status(thm)],[173802320,195907480]),[]).
%
% cnf(379311960,plain,(is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[333999640,236018536]),[]).
%
% cnf(580008200,plain,(is_a_theorem(implies(not(A),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[390659472,379311960]),[]).
%
% cnf(582011424,plain,(is_a_theorem(implies(A,implies(not(B),implies(B,C))))),inference(resolution,[status(thm)],[246846488,580008200]),[]).
%
% cnf(582670584,plain,(is_a_theorem(implies(not(A),implies(A,B)))),inference(resolution,[status(thm)],[181594144,582011424]),[]).
%
% cnf(586620608,plain,(is_a_theorem(implies(A,implies(not(not(B)),B)))),inference(resolution,[status(thm)],[246846488,582670584]),[]).
%
% cnf(587307488,plain,(is_a_theorem(implies(not(not(A)),A))),inference(resolution,[status(thm)],[181594144,586620608]),[]).
%
% cnf(588876536,plain,(~is_a_theorem(implies(implies(not(not(B)),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[173802320,587307488]),[]).
%
% cnf(589824760,plain,(is_a_theorem(implies(B,implies(A,not(not(A)))))),inference(resolution,[status(thm)],[588876536,379311960]),[]).
%
% cnf(182408080,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(not(A),A),B))),inference(resolution,[status(thm)],[181699448,173802320]),[]).
%
% cnf(190404096,plain,(is_a_theorem(implies(implies(not(not(implies(B,B))),not(implies(B,B))),A))),inference(resolution,[status(thm)],[182408080,187810656]),[]).
%
% fof(prove_cn_62,plain,(~is_a_theorem(implies(implies(not(not(x)),y),implies(x,y)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL396-1.tptp',unknown),[]).
%
% cnf(173823016,plain,(~is_a_theorem(implies(implies(not(not(x)),y),implies(x,y)))),inference(rewrite,[status(thm)],[prove_cn_62]),[]).
%
% cnf(183809464,plain,(~is_a_theorem(implies(x,not(not(x))))),inference(resolution,[status(thm)],[181783224,173823016]),[]).
%
% cnf(184066584,plain,(~is_a_theorem(implies(A,implies(x,not(not(x)))))|~is_a_theorem(A)),inference(resolution,[status(thm)],[183809464,173802320]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[589824760,190404096,184066584]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------