TSTP Solution File: LCL057-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL057-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art04.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 13:40:52 EDT 2009
% Result : Unsatisfiable 218.0s
% Output : Refutation 218.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 37 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 53 ( 28 ~; 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 151 ( 46 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/LCL057-1.tptp',unknown),
[] ).
cnf(148822280,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/LCL057-1.tptp',unknown),
[] ).
cnf(148831064,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(156609008,plain,
( ~ is_a_theorem(implies(not(A),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[148822280,148831064]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL057-1.tptp',unknown),
[] ).
cnf(148834976,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(156763120,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[148822280,148834976]),
[] ).
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/LCL057-1.tptp',unknown),
[] ).
cnf(148827104,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(157921576,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[156763120,148827104]),
[] ).
cnf(162481936,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[157921576,148822280]),
[] ).
cnf(162501152,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))
| is_a_theorem(D) ),
inference(resolution,[status(thm)],[157921576,148822280]),
[] ).
cnf(156833120,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[148822280,148827104]),
[] ).
cnf(159013656,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[156833120,148827104]),
[] ).
cnf(172117256,plain,
is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[162501152,159013656]),
[] ).
cnf(172543624,plain,
is_a_theorem(implies(A,implies(B,implies(not(A),C)))),
inference(resolution,[status(thm)],[162481936,172117256]),
[] ).
cnf(172970472,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,implies(not(A),C))) ),
inference(resolution,[status(thm)],[148822280,172543624]),
[] ).
cnf(156628496,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[148822280,148831064]),
[] ).
cnf(159027864,plain,
( ~ is_a_theorem(implies(A,implies(not(B),B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[156833120,156628496]),
[] ).
cnf(236682296,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[172970472,159027864]),
[] ).
cnf(237228384,plain,
( is_a_theorem(implies(A,implies(B,C)))
| ~ is_a_theorem(implies(B,implies(not(C),C))) ),
inference(resolution,[status(thm)],[236682296,159027864]),
[] ).
cnf(173052936,plain,
is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B))),
inference(resolution,[status(thm)],[156833120,172543624]),
[] ).
cnf(193490712,plain,
( ~ is_a_theorem(implies(implies(C,implies(not(A),D)),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[148822280,173052936]),
[] ).
cnf(171790544,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)],[148822280,159013656]),
[] ).
cnf(157324128,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[156628496,148827104]),
[] ).
cnf(159462960,plain,
is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))),
inference(resolution,[status(thm)],[157324128,156833120]),
[] ).
cnf(169725472,plain,
( ~ is_a_theorem(implies(implies(implies(not(A),A),B),C))
| is_a_theorem(implies(implies(A,B),C)) ),
inference(resolution,[status(thm)],[148822280,159462960]),
[] ).
cnf(162552784,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[157921576,156628496]),
[] ).
cnf(156743880,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[148822280,148834976]),
[] ).
cnf(162873280,plain,
is_a_theorem(implies(not(implies(A,A)),B)),
inference(resolution,[status(thm)],[162552784,156743880]),
[] ).
cnf(163316832,plain,
is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C))),
inference(resolution,[status(thm)],[162873280,156833120]),
[] ).
cnf(166700104,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[162481936,163316832]),
[] ).
cnf(166797304,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[156833120,166700104]),
[] ).
cnf(178303856,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[169725472,166797304]),
[] ).
cnf(178918264,plain,
( ~ is_a_theorem(implies(implies(C,C),A))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[148822280,178303856]),
[] ).
cnf(179132600,plain,
is_a_theorem(implies(A,implies(implies(not(B),B),B))),
inference(resolution,[status(thm)],[178918264,157324128]),
[] ).
cnf(179754088,plain,
is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B))),
inference(resolution,[status(thm)],[156833120,179132600]),
[] ).
cnf(215770064,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[171790544,179754088]),
[] ).
cnf(344378072,plain,
is_a_theorem(implies(A,implies(C,implies(B,A)))),
inference(resolution,[status(thm)],[193490712,215770064]),
[] ).
cnf(345477528,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[148822280,344378072]),
[] ).
cnf(172247288,plain,
is_a_theorem(implies(implies(A,implies(not(C),C)),implies(implies(C,B),implies(A,B)))),
inference(resolution,[status(thm)],[171790544,159462960]),
[] ).
cnf(346257608,plain,
is_a_theorem(implies(implies(implies(B,A),C),implies(A,C))),
inference(resolution,[status(thm)],[345477528,172247288]),
[] ).
cnf(353880736,plain,
( ~ is_a_theorem(implies(implies(B,A),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[148822280,346257608]),
[] ).
cnf(172444440,plain,
is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A))),
inference(resolution,[status(thm)],[156833120,172117256]),
[] ).
cnf(306578488,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,C)),A))
| is_a_theorem(implies(implies(D,not(B)),A)) ),
inference(resolution,[status(thm)],[148822280,172444440]),
[] ).
cnf(345221952,plain,
is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[306578488,215770064]),
[] ).
cnf(485856896,plain,
is_a_theorem(implies(not(A),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[353880736,345221952]),
[] ).
cnf(487739336,plain,
is_a_theorem(implies(A,implies(not(B),implies(B,C)))),
inference(resolution,[status(thm)],[237228384,485856896]),
[] ).
cnf(488360240,plain,
is_a_theorem(implies(not(A),implies(A,B))),
inference(resolution,[status(thm)],[156609008,487739336]),
[] ).
cnf(494652488,plain,
( ~ is_a_theorem(implies(implies(not(B),implies(B,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[148822280,488360240]),
[] ).
cnf(495353912,plain,
is_a_theorem(implies(B,implies(not(not(A)),A))),
inference(resolution,[status(thm)],[494652488,215770064]),
[] ).
cnf(495756688,plain,
is_a_theorem(implies(not(not(A)),A)),
inference(resolution,[status(thm)],[156609008,495353912]),
[] ).
cnf(497217672,plain,
( ~ is_a_theorem(implies(implies(not(not(B)),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[148822280,495756688]),
[] ).
cnf(498102360,plain,
is_a_theorem(implies(B,implies(A,not(not(A))))),
inference(resolution,[status(thm)],[497217672,345221952]),
[] ).
cnf(237041928,plain,
( is_a_theorem(implies(B,A))
| ~ is_a_theorem(implies(not(A),A)) ),
inference(resolution,[status(thm)],[236682296,156609008]),
[] ).
fof(prove_cn_40,plain,
~ is_a_theorem(implies(a,not(not(a)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL057-1.tptp',unknown),
[] ).
cnf(148842656,plain,
~ is_a_theorem(implies(a,not(not(a)))),
inference(rewrite,[status(thm)],[prove_cn_40]),
[] ).
cnf(156670344,plain,
~ is_a_theorem(implies(not(implies(a,not(not(a)))),implies(a,not(not(a))))),
inference(resolution,[status(thm)],[156609008,148842656]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[498102360,237041928,156670344]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 217 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/LCL057-1.tptp',unknown),[]).
%
% cnf(148822280,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/LCL057-1.tptp',unknown),[]).
%
% cnf(148831064,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(156609008,plain,(~is_a_theorem(implies(not(A),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[148822280,148831064]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL057-1.tptp',unknown),[]).
%
% cnf(148834976,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(156763120,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[148822280,148834976]),[]).
%
% 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/LCL057-1.tptp',unknown),[]).
%
% cnf(148827104,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(157921576,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[156763120,148827104]),[]).
%
% cnf(162481936,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[157921576,148822280]),[]).
%
% cnf(162501152,plain,(~is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))|is_a_theorem(D)),inference(resolution,[status(thm)],[157921576,148822280]),[]).
%
% cnf(156833120,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[148822280,148827104]),[]).
%
% cnf(159013656,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[156833120,148827104]),[]).
%
% cnf(172117256,plain,(is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[162501152,159013656]),[]).
%
% cnf(172543624,plain,(is_a_theorem(implies(A,implies(B,implies(not(A),C))))),inference(resolution,[status(thm)],[162481936,172117256]),[]).
%
% cnf(172970472,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,implies(not(A),C)))),inference(resolution,[status(thm)],[148822280,172543624]),[]).
%
% cnf(156628496,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[148822280,148831064]),[]).
%
% cnf(159027864,plain,(~is_a_theorem(implies(A,implies(not(B),B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[156833120,156628496]),[]).
%
% cnf(236682296,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[172970472,159027864]),[]).
%
% cnf(237228384,plain,(is_a_theorem(implies(A,implies(B,C)))|~is_a_theorem(implies(B,implies(not(C),C)))),inference(resolution,[status(thm)],[236682296,159027864]),[]).
%
% cnf(173052936,plain,(is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B)))),inference(resolution,[status(thm)],[156833120,172543624]),[]).
%
% cnf(193490712,plain,(~is_a_theorem(implies(implies(C,implies(not(A),D)),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[148822280,173052936]),[]).
%
% cnf(171790544,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)],[148822280,159013656]),[]).
%
% cnf(157324128,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[156628496,148827104]),[]).
%
% cnf(159462960,plain,(is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C)))),inference(resolution,[status(thm)],[157324128,156833120]),[]).
%
% cnf(169725472,plain,(~is_a_theorem(implies(implies(implies(not(A),A),B),C))|is_a_theorem(implies(implies(A,B),C))),inference(resolution,[status(thm)],[148822280,159462960]),[]).
%
% cnf(162552784,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[157921576,156628496]),[]).
%
% cnf(156743880,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[148822280,148834976]),[]).
%
% cnf(162873280,plain,(is_a_theorem(implies(not(implies(A,A)),B))),inference(resolution,[status(thm)],[162552784,156743880]),[]).
%
% cnf(163316832,plain,(is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C)))),inference(resolution,[status(thm)],[162873280,156833120]),[]).
%
% cnf(166700104,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[162481936,163316832]),[]).
%
% cnf(166797304,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[156833120,166700104]),[]).
%
% cnf(178303856,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[169725472,166797304]),[]).
%
% cnf(178918264,plain,(~is_a_theorem(implies(implies(C,C),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[148822280,178303856]),[]).
%
% cnf(179132600,plain,(is_a_theorem(implies(A,implies(implies(not(B),B),B)))),inference(resolution,[status(thm)],[178918264,157324128]),[]).
%
% cnf(179754088,plain,(is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B)))),inference(resolution,[status(thm)],[156833120,179132600]),[]).
%
% cnf(215770064,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[171790544,179754088]),[]).
%
% cnf(344378072,plain,(is_a_theorem(implies(A,implies(C,implies(B,A))))),inference(resolution,[status(thm)],[193490712,215770064]),[]).
%
% cnf(345477528,plain,(~is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[148822280,344378072]),[]).
%
% cnf(172247288,plain,(is_a_theorem(implies(implies(A,implies(not(C),C)),implies(implies(C,B),implies(A,B))))),inference(resolution,[status(thm)],[171790544,159462960]),[]).
%
% cnf(346257608,plain,(is_a_theorem(implies(implies(implies(B,A),C),implies(A,C)))),inference(resolution,[status(thm)],[345477528,172247288]),[]).
%
% cnf(353880736,plain,(~is_a_theorem(implies(implies(B,A),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[148822280,346257608]),[]).
%
% cnf(172444440,plain,(is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A)))),inference(resolution,[status(thm)],[156833120,172117256]),[]).
%
% cnf(306578488,plain,(~is_a_theorem(implies(implies(B,implies(D,C)),A))|is_a_theorem(implies(implies(D,not(B)),A))),inference(resolution,[status(thm)],[148822280,172444440]),[]).
%
% cnf(345221952,plain,(is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[306578488,215770064]),[]).
%
% cnf(485856896,plain,(is_a_theorem(implies(not(A),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[353880736,345221952]),[]).
%
% cnf(487739336,plain,(is_a_theorem(implies(A,implies(not(B),implies(B,C))))),inference(resolution,[status(thm)],[237228384,485856896]),[]).
%
% cnf(488360240,plain,(is_a_theorem(implies(not(A),implies(A,B)))),inference(resolution,[status(thm)],[156609008,487739336]),[]).
%
% cnf(494652488,plain,(~is_a_theorem(implies(implies(not(B),implies(B,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[148822280,488360240]),[]).
%
% cnf(495353912,plain,(is_a_theorem(implies(B,implies(not(not(A)),A)))),inference(resolution,[status(thm)],[494652488,215770064]),[]).
%
% cnf(495756688,plain,(is_a_theorem(implies(not(not(A)),A))),inference(resolution,[status(thm)],[156609008,495353912]),[]).
%
% cnf(497217672,plain,(~is_a_theorem(implies(implies(not(not(B)),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[148822280,495756688]),[]).
%
% cnf(498102360,plain,(is_a_theorem(implies(B,implies(A,not(not(A)))))),inference(resolution,[status(thm)],[497217672,345221952]),[]).
%
% cnf(237041928,plain,(is_a_theorem(implies(B,A))|~is_a_theorem(implies(not(A),A))),inference(resolution,[status(thm)],[236682296,156609008]),[]).
%
% fof(prove_cn_40,plain,(~is_a_theorem(implies(a,not(not(a))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL057-1.tptp',unknown),[]).
%
% cnf(148842656,plain,(~is_a_theorem(implies(a,not(not(a))))),inference(rewrite,[status(thm)],[prove_cn_40]),[]).
%
% cnf(156670344,plain,(~is_a_theorem(implies(not(implies(a,not(not(a)))),implies(a,not(not(a)))))),inference(resolution,[status(thm)],[156609008,148842656]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[498102360,237041928,156670344]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------