TSTP Solution File: LCL381-1 by Faust---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL381-1 : TPTP v3.4.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art05.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 13:48:52 EDT 2009
% Result : Unsatisfiable 438.3s
% Output : Refutation 438.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 5
% Syntax : Number of formulae : 59 ( 36 unt; 0 def)
% Number of atoms : 84 ( 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 146 ( 43 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/LCL381-1.tptp',unknown),
[] ).
cnf(146673048,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL381-1.tptp',unknown),
[] ).
cnf(146685968,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(154567912,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[146673048,146685968]),
[] ).
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/LCL381-1.tptp',unknown),
[] ).
cnf(146677936,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(155407792,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[154567912,146677936]),
[] ).
cnf(157880392,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[155407792,146673048]),
[] ).
cnf(157899568,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))
| is_a_theorem(D) ),
inference(resolution,[status(thm)],[155407792,146673048]),
[] ).
cnf(154615320,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[146673048,146677936]),
[] ).
cnf(156400704,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[154615320,146677936]),
[] ).
cnf(168506280,plain,
is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[157899568,156400704]),
[] ).
cnf(168973632,plain,
is_a_theorem(implies(A,implies(B,implies(not(A),C)))),
inference(resolution,[status(thm)],[157880392,168506280]),
[] ).
cnf(169477872,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,implies(not(A),C))) ),
inference(resolution,[status(thm)],[146673048,168973632]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL381-1.tptp',unknown),
[] ).
cnf(146681960,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(154489400,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[146673048,146681960]),
[] ).
cnf(156440088,plain,
( ~ is_a_theorem(implies(A,implies(not(B),B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[154615320,154489400]),
[] ).
cnf(244973560,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[169477872,156440088]),
[] ).
cnf(245359712,plain,
( is_a_theorem(implies(A,implies(B,C)))
| ~ is_a_theorem(implies(B,implies(not(C),C))) ),
inference(resolution,[status(thm)],[244973560,156440088]),
[] ).
cnf(154469848,plain,
( ~ is_a_theorem(implies(not(A),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[146673048,146681960]),
[] ).
cnf(169560408,plain,
is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B))),
inference(resolution,[status(thm)],[154615320,168973632]),
[] ).
cnf(197868464,plain,
( ~ is_a_theorem(implies(implies(C,implies(not(A),D)),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[146673048,169560408]),
[] ).
cnf(168178016,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)],[146673048,156400704]),
[] ).
cnf(154528232,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[154489400,146677936]),
[] ).
cnf(155166760,plain,
( ~ is_a_theorem(implies(implies(implies(A,B),implies(implies(not(A),A),B)),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[154528232,146673048]),
[] ).
cnf(156425896,plain,
is_a_theorem(implies(implies(implies(implies(not(B),B),C),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[154615320,154528232]),
[] ).
cnf(165421696,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),C),A))
| is_a_theorem(implies(implies(B,C),A)) ),
inference(resolution,[status(thm)],[146673048,156425896]),
[] ).
cnf(157931456,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[155407792,154489400]),
[] ).
cnf(154548672,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[146673048,146685968]),
[] ).
cnf(158102232,plain,
is_a_theorem(implies(not(implies(A,A)),B)),
inference(resolution,[status(thm)],[157931456,154548672]),
[] ).
cnf(158427152,plain,
is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C))),
inference(resolution,[status(thm)],[158102232,154615320]),
[] ).
cnf(162579352,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[157880392,158427152]),
[] ).
cnf(162679304,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[154615320,162579352]),
[] ).
cnf(175303096,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[165421696,162679304]),
[] ).
cnf(176143432,plain,
is_a_theorem(implies(B,implies(implies(not(A),A),A))),
inference(resolution,[status(thm)],[155166760,175303096]),
[] ).
cnf(176810016,plain,
is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B))),
inference(resolution,[status(thm)],[154615320,176143432]),
[] ).
cnf(218264408,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[168178016,176810016]),
[] ).
cnf(383438016,plain,
is_a_theorem(implies(A,implies(C,implies(B,A)))),
inference(resolution,[status(thm)],[197868464,218264408]),
[] ).
cnf(384520200,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[146673048,383438016]),
[] ).
cnf(168656064,plain,
is_a_theorem(implies(implies(A,implies(not(C),C)),implies(implies(C,B),implies(A,B)))),
inference(resolution,[status(thm)],[168178016,156425896]),
[] ).
cnf(386848080,plain,
is_a_theorem(implies(implies(implies(B,A),C),implies(A,C))),
inference(resolution,[status(thm)],[384520200,168656064]),
[] ).
cnf(393558536,plain,
( ~ is_a_theorem(implies(implies(B,A),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[146673048,386848080]),
[] ).
cnf(168866000,plain,
is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A))),
inference(resolution,[status(thm)],[154615320,168506280]),
[] ).
cnf(297000416,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,C)),A))
| is_a_theorem(implies(implies(D,not(B)),A)) ),
inference(resolution,[status(thm)],[146673048,168866000]),
[] ).
cnf(384260328,plain,
is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[297000416,218264408]),
[] ).
cnf(665355824,plain,
is_a_theorem(implies(not(A),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[393558536,384260328]),
[] ).
cnf(668345096,plain,
is_a_theorem(implies(A,implies(not(B),implies(B,C)))),
inference(resolution,[status(thm)],[245359712,665355824]),
[] ).
cnf(669118224,plain,
is_a_theorem(implies(not(A),implies(A,B))),
inference(resolution,[status(thm)],[154469848,668345096]),
[] ).
cnf(675522360,plain,
is_a_theorem(implies(A,implies(not(not(B)),B))),
inference(resolution,[status(thm)],[245359712,669118224]),
[] ).
cnf(156478968,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(A,implies(not(B),C))) ),
inference(resolution,[status(thm)],[154615320,154567912]),
[] ).
cnf(154667312,plain,
( is_a_theorem(A)
| ~ is_a_theorem(implies(not(implies(not(A),A)),implies(not(A),A))) ),
inference(resolution,[status(thm)],[154469848,154469848]),
[] ).
cnf(196005464,plain,
( ~ is_a_theorem(implies(not(implies(not(A),A)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[156478968,154667312]),
[] ).
fof(prove_cn_42,plain,
~ is_a_theorem(implies(implies(implies(not(not(x)),y),z),implies(implies(x,y),z))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL381-1.tptp',unknown),
[] ).
cnf(146693976,plain,
~ is_a_theorem(implies(implies(implies(not(not(x)),y),z),implies(implies(x,y),z))),
inference(rewrite,[status(thm)],[prove_cn_42]),
[] ).
cnf(156549408,plain,
~ is_a_theorem(implies(implies(x,y),implies(not(not(x)),y))),
inference(resolution,[status(thm)],[154615320,146693976]),
[] ).
cnf(177625264,plain,
~ is_a_theorem(implies(not(not(x)),x)),
inference(resolution,[status(thm)],[156549408,154615320]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[675522360,196005464,177625264]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 445 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/LCL381-1.tptp',unknown),[]).
%
% cnf(146673048,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL381-1.tptp',unknown),[]).
%
% cnf(146685968,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(154567912,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[146673048,146685968]),[]).
%
% 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/LCL381-1.tptp',unknown),[]).
%
% cnf(146677936,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(155407792,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[154567912,146677936]),[]).
%
% cnf(157880392,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[155407792,146673048]),[]).
%
% cnf(157899568,plain,(~is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))|is_a_theorem(D)),inference(resolution,[status(thm)],[155407792,146673048]),[]).
%
% cnf(154615320,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[146673048,146677936]),[]).
%
% cnf(156400704,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[154615320,146677936]),[]).
%
% cnf(168506280,plain,(is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[157899568,156400704]),[]).
%
% cnf(168973632,plain,(is_a_theorem(implies(A,implies(B,implies(not(A),C))))),inference(resolution,[status(thm)],[157880392,168506280]),[]).
%
% cnf(169477872,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,implies(not(A),C)))),inference(resolution,[status(thm)],[146673048,168973632]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL381-1.tptp',unknown),[]).
%
% cnf(146681960,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(154489400,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[146673048,146681960]),[]).
%
% cnf(156440088,plain,(~is_a_theorem(implies(A,implies(not(B),B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[154615320,154489400]),[]).
%
% cnf(244973560,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[169477872,156440088]),[]).
%
% cnf(245359712,plain,(is_a_theorem(implies(A,implies(B,C)))|~is_a_theorem(implies(B,implies(not(C),C)))),inference(resolution,[status(thm)],[244973560,156440088]),[]).
%
% cnf(154469848,plain,(~is_a_theorem(implies(not(A),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[146673048,146681960]),[]).
%
% cnf(169560408,plain,(is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B)))),inference(resolution,[status(thm)],[154615320,168973632]),[]).
%
% cnf(197868464,plain,(~is_a_theorem(implies(implies(C,implies(not(A),D)),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[146673048,169560408]),[]).
%
% cnf(168178016,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)],[146673048,156400704]),[]).
%
% cnf(154528232,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[154489400,146677936]),[]).
%
% cnf(155166760,plain,(~is_a_theorem(implies(implies(implies(A,B),implies(implies(not(A),A),B)),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[154528232,146673048]),[]).
%
% cnf(156425896,plain,(is_a_theorem(implies(implies(implies(implies(not(B),B),C),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[154615320,154528232]),[]).
%
% cnf(165421696,plain,(~is_a_theorem(implies(implies(implies(not(B),B),C),A))|is_a_theorem(implies(implies(B,C),A))),inference(resolution,[status(thm)],[146673048,156425896]),[]).
%
% cnf(157931456,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[155407792,154489400]),[]).
%
% cnf(154548672,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[146673048,146685968]),[]).
%
% cnf(158102232,plain,(is_a_theorem(implies(not(implies(A,A)),B))),inference(resolution,[status(thm)],[157931456,154548672]),[]).
%
% cnf(158427152,plain,(is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C)))),inference(resolution,[status(thm)],[158102232,154615320]),[]).
%
% cnf(162579352,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[157880392,158427152]),[]).
%
% cnf(162679304,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[154615320,162579352]),[]).
%
% cnf(175303096,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[165421696,162679304]),[]).
%
% cnf(176143432,plain,(is_a_theorem(implies(B,implies(implies(not(A),A),A)))),inference(resolution,[status(thm)],[155166760,175303096]),[]).
%
% cnf(176810016,plain,(is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B)))),inference(resolution,[status(thm)],[154615320,176143432]),[]).
%
% cnf(218264408,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[168178016,176810016]),[]).
%
% cnf(383438016,plain,(is_a_theorem(implies(A,implies(C,implies(B,A))))),inference(resolution,[status(thm)],[197868464,218264408]),[]).
%
% cnf(384520200,plain,(~is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[146673048,383438016]),[]).
%
% cnf(168656064,plain,(is_a_theorem(implies(implies(A,implies(not(C),C)),implies(implies(C,B),implies(A,B))))),inference(resolution,[status(thm)],[168178016,156425896]),[]).
%
% cnf(386848080,plain,(is_a_theorem(implies(implies(implies(B,A),C),implies(A,C)))),inference(resolution,[status(thm)],[384520200,168656064]),[]).
%
% cnf(393558536,plain,(~is_a_theorem(implies(implies(B,A),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[146673048,386848080]),[]).
%
% cnf(168866000,plain,(is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A)))),inference(resolution,[status(thm)],[154615320,168506280]),[]).
%
% cnf(297000416,plain,(~is_a_theorem(implies(implies(B,implies(D,C)),A))|is_a_theorem(implies(implies(D,not(B)),A))),inference(resolution,[status(thm)],[146673048,168866000]),[]).
%
% cnf(384260328,plain,(is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[297000416,218264408]),[]).
%
% cnf(665355824,plain,(is_a_theorem(implies(not(A),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[393558536,384260328]),[]).
%
% cnf(668345096,plain,(is_a_theorem(implies(A,implies(not(B),implies(B,C))))),inference(resolution,[status(thm)],[245359712,665355824]),[]).
%
% cnf(669118224,plain,(is_a_theorem(implies(not(A),implies(A,B)))),inference(resolution,[status(thm)],[154469848,668345096]),[]).
%
% cnf(675522360,plain,(is_a_theorem(implies(A,implies(not(not(B)),B)))),inference(resolution,[status(thm)],[245359712,669118224]),[]).
%
% cnf(156478968,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(A,implies(not(B),C)))),inference(resolution,[status(thm)],[154615320,154567912]),[]).
%
% cnf(154667312,plain,(is_a_theorem(A)|~is_a_theorem(implies(not(implies(not(A),A)),implies(not(A),A)))),inference(resolution,[status(thm)],[154469848,154469848]),[]).
%
% cnf(196005464,plain,(~is_a_theorem(implies(not(implies(not(A),A)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[156478968,154667312]),[]).
%
% fof(prove_cn_42,plain,(~is_a_theorem(implies(implies(implies(not(not(x)),y),z),implies(implies(x,y),z)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL381-1.tptp',unknown),[]).
%
% cnf(146693976,plain,(~is_a_theorem(implies(implies(implies(not(not(x)),y),z),implies(implies(x,y),z)))),inference(rewrite,[status(thm)],[prove_cn_42]),[]).
%
% cnf(156549408,plain,(~is_a_theorem(implies(implies(x,y),implies(not(not(x)),y)))),inference(resolution,[status(thm)],[154615320,146693976]),[]).
%
% cnf(177625264,plain,(~is_a_theorem(implies(not(not(x)),x))),inference(resolution,[status(thm)],[156549408,154615320]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[675522360,196005464,177625264]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------