TSTP Solution File: LCL378-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL378-1 : TPTP v3.4.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art03.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 13:48:47 EDT 2009
% Result : Unsatisfiable 444.8s
% Output : Refutation 444.8s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 5
% Syntax : Number of formulae : 67 ( 43 unt; 0 def)
% Number of atoms : 93 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 32 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 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 : 158 ( 49 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/LCL378-1.tptp',unknown),
[] ).
cnf(142965872,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/LCL378-1.tptp',unknown),
[] ).
cnf(142978696,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(150806776,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142965872,142978696]),
[] ).
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/LCL378-1.tptp',unknown),
[] ).
cnf(142970728,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(152119024,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[150806776,142970728]),
[] ).
cnf(156646480,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[152119024,142965872]),
[] ).
cnf(151025440,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[142965872,142970728]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL378-1.tptp',unknown),
[] ).
cnf(142974720,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(150777128,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142965872,142974720]),
[] ).
cnf(156691584,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[152119024,150777128]),
[] ).
cnf(150787456,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[142965872,142978696]),
[] ).
cnf(157056272,plain,
is_a_theorem(implies(not(implies(A,A)),B)),
inference(resolution,[status(thm)],[156691584,150787456]),
[] ).
cnf(157580360,plain,
is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C))),
inference(resolution,[status(thm)],[157056272,151025440]),
[] ).
cnf(161716120,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[156646480,157580360]),
[] ).
cnf(161821720,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[151025440,161716120]),
[] ).
cnf(166569656,plain,
is_a_theorem(implies(A,implies(B,B))),
inference(resolution,[status(thm)],[150777128,161821720]),
[] ).
cnf(167076720,plain,
is_a_theorem(implies(implies(implies(C,C),B),implies(A,B))),
inference(resolution,[status(thm)],[151025440,166569656]),
[] ).
cnf(167486368,plain,
( ~ is_a_theorem(implies(implies(implies(implies(D,D),C),implies(B,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142965872,167076720]),
[] ).
cnf(154074744,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[151025440,142970728]),
[] ).
cnf(174315168,plain,
is_a_theorem(implies(implies(C,B),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[167486368,154074744]),
[] ).
cnf(174757312,plain,
is_a_theorem(implies(A,implies(C,implies(not(A),B)))),
inference(resolution,[status(thm)],[156646480,174315168]),
[] ).
cnf(175758864,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(C,implies(not(A),B))) ),
inference(resolution,[status(thm)],[142965872,174757312]),
[] ).
cnf(154085792,plain,
( ~ is_a_theorem(implies(A,implies(not(B),B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[151025440,150777128]),
[] ).
cnf(262291256,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[175758864,154085792]),
[] ).
cnf(263131144,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(implies(B,A)),C)) ),
inference(resolution,[status(thm)],[262291256,150787456]),
[] ).
cnf(156664864,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))
| is_a_theorem(D) ),
inference(resolution,[status(thm)],[152119024,142965872]),
[] ).
cnf(174273280,plain,
is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[156664864,154074744]),
[] ).
cnf(177061936,plain,
( ~ is_a_theorem(implies(C,not(A)))
| is_a_theorem(implies(A,implies(C,B))) ),
inference(resolution,[status(thm)],[142965872,174273280]),
[] ).
cnf(150757608,plain,
( ~ is_a_theorem(implies(not(A),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142965872,142974720]),
[] ).
cnf(175844464,plain,
is_a_theorem(implies(implies(implies(D,implies(not(A),C)),B),implies(A,B))),
inference(resolution,[status(thm)],[151025440,174757312]),
[] ).
cnf(218013824,plain,
( ~ is_a_theorem(implies(implies(D,implies(not(A),C)),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[142965872,175844464]),
[] ).
cnf(173916528,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)],[142965872,154074744]),
[] ).
cnf(167467304,plain,
( ~ is_a_theorem(implies(implies(C,C),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[142965872,167076720]),
[] ).
cnf(151877848,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[150777128,142970728]),
[] ).
cnf(167668512,plain,
is_a_theorem(implies(A,implies(implies(not(B),B),B))),
inference(resolution,[status(thm)],[167467304,151877848]),
[] ).
cnf(168157144,plain,
is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B))),
inference(resolution,[status(thm)],[151025440,167668512]),
[] ).
cnf(188624400,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[173916528,168157144]),
[] ).
cnf(255620056,plain,
is_a_theorem(implies(A,implies(C,implies(B,A)))),
inference(resolution,[status(thm)],[218013824,188624400]),
[] ).
cnf(258728424,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142965872,255620056]),
[] ).
cnf(260242096,plain,
is_a_theorem(implies(C,implies(A,implies(B,A)))),
inference(resolution,[status(thm)],[258728424,188624400]),
[] ).
cnf(260368160,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(resolution,[status(thm)],[150757608,260242096]),
[] ).
cnf(266216792,plain,
is_a_theorem(implies(implies(implies(C,A),B),implies(A,B))),
inference(resolution,[status(thm)],[151025440,260368160]),
[] ).
cnf(269098088,plain,
( ~ is_a_theorem(implies(implies(C,A),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[142965872,266216792]),
[] ).
cnf(255205816,plain,
( ~ is_a_theorem(implies(A,implies(not(B),B)))
| is_a_theorem(implies(C,implies(A,B))) ),
inference(resolution,[status(thm)],[142965872,188624400]),
[] ).
cnf(255783152,plain,
is_a_theorem(implies(B,implies(implies(implies(implies(not(C),C),C),A),A))),
inference(resolution,[status(thm)],[255205816,168157144]),
[] ).
cnf(654698440,plain,
is_a_theorem(implies(implies(implies(implies(not(B),B),B),A),A)),
inference(resolution,[status(thm)],[150757608,255783152]),
[] ).
cnf(656779184,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B))),
inference(resolution,[status(thm)],[173916528,654698440]),
[] ).
cnf(659021608,plain,
is_a_theorem(implies(implies(not(A),implies(not(A),A)),A)),
inference(resolution,[status(thm)],[154085792,656779184]),
[] ).
cnf(662416224,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),implies(not(B),B)),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[142965872,659021608]),
[] ).
cnf(177146864,plain,
is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A))),
inference(resolution,[status(thm)],[151025440,174273280]),
[] ).
cnf(663994584,plain,
is_a_theorem(implies(implies(not(A),not(not(A))),A)),
inference(resolution,[status(thm)],[662416224,177146864]),
[] ).
cnf(664582384,plain,
is_a_theorem(implies(not(not(A)),A)),
inference(resolution,[status(thm)],[269098088,663994584]),
[] ).
cnf(666614520,plain,
is_a_theorem(implies(A,implies(not(not(not(A))),B))),
inference(resolution,[status(thm)],[177061936,664582384]),
[] ).
cnf(678071088,plain,
is_a_theorem(implies(A,not(not(A)))),
inference(resolution,[status(thm)],[154085792,666614520]),
[] ).
cnf(686550424,plain,
is_a_theorem(implies(not(implies(A,implies(C,not(not(C))))),B)),
inference(resolution,[status(thm)],[263131144,678071088]),
[] ).
fof(prove_cn_36,plain,
~ is_a_theorem(implies(not(x),implies(x,y))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL378-1.tptp',unknown),
[] ).
cnf(142986464,plain,
~ is_a_theorem(implies(not(x),implies(x,y))),
inference(rewrite,[status(thm)],[prove_cn_36]),
[] ).
cnf(150973848,plain,
( ~ is_a_theorem(implies(A,implies(not(x),implies(x,y))))
| ~ is_a_theorem(A) ),
inference(resolution,[status(thm)],[142965872,142986464]),
[] ).
cnf(156832872,plain,
~ is_a_theorem(implies(implies(not(not(x)),A),implies(x,y))),
inference(resolution,[status(thm)],[152119024,150973848]),
[] ).
cnf(201256240,plain,
~ is_a_theorem(implies(x,not(not(x)))),
inference(resolution,[status(thm)],[156832872,151025440]),
[] ).
cnf(157098848,plain,
( ~ is_a_theorem(implies(implies(A,A),B))
| is_a_theorem(B) ),
inference(resolution,[status(thm)],[156691584,142965872]),
[] ).
cnf(201642864,plain,
~ is_a_theorem(implies(implies(A,A),implies(x,not(not(x))))),
inference(resolution,[status(thm)],[201256240,157098848]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[686550424,201642864,150757608]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 444 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/LCL378-1.tptp',unknown),[]).
%
% cnf(142965872,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/LCL378-1.tptp',unknown),[]).
%
% cnf(142978696,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(150806776,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142965872,142978696]),[]).
%
% 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/LCL378-1.tptp',unknown),[]).
%
% cnf(142970728,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(152119024,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[150806776,142970728]),[]).
%
% cnf(156646480,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[152119024,142965872]),[]).
%
% cnf(151025440,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[142965872,142970728]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL378-1.tptp',unknown),[]).
%
% cnf(142974720,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(150777128,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142965872,142974720]),[]).
%
% cnf(156691584,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[152119024,150777128]),[]).
%
% cnf(150787456,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[142965872,142978696]),[]).
%
% cnf(157056272,plain,(is_a_theorem(implies(not(implies(A,A)),B))),inference(resolution,[status(thm)],[156691584,150787456]),[]).
%
% cnf(157580360,plain,(is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C)))),inference(resolution,[status(thm)],[157056272,151025440]),[]).
%
% cnf(161716120,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[156646480,157580360]),[]).
%
% cnf(161821720,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[151025440,161716120]),[]).
%
% cnf(166569656,plain,(is_a_theorem(implies(A,implies(B,B)))),inference(resolution,[status(thm)],[150777128,161821720]),[]).
%
% cnf(167076720,plain,(is_a_theorem(implies(implies(implies(C,C),B),implies(A,B)))),inference(resolution,[status(thm)],[151025440,166569656]),[]).
%
% cnf(167486368,plain,(~is_a_theorem(implies(implies(implies(implies(D,D),C),implies(B,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142965872,167076720]),[]).
%
% cnf(154074744,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[151025440,142970728]),[]).
%
% cnf(174315168,plain,(is_a_theorem(implies(implies(C,B),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[167486368,154074744]),[]).
%
% cnf(174757312,plain,(is_a_theorem(implies(A,implies(C,implies(not(A),B))))),inference(resolution,[status(thm)],[156646480,174315168]),[]).
%
% cnf(175758864,plain,(~is_a_theorem(A)|is_a_theorem(implies(C,implies(not(A),B)))),inference(resolution,[status(thm)],[142965872,174757312]),[]).
%
% cnf(154085792,plain,(~is_a_theorem(implies(A,implies(not(B),B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[151025440,150777128]),[]).
%
% cnf(262291256,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[175758864,154085792]),[]).
%
% cnf(263131144,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(implies(B,A)),C))),inference(resolution,[status(thm)],[262291256,150787456]),[]).
%
% cnf(156664864,plain,(~is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))|is_a_theorem(D)),inference(resolution,[status(thm)],[152119024,142965872]),[]).
%
% cnf(174273280,plain,(is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[156664864,154074744]),[]).
%
% cnf(177061936,plain,(~is_a_theorem(implies(C,not(A)))|is_a_theorem(implies(A,implies(C,B)))),inference(resolution,[status(thm)],[142965872,174273280]),[]).
%
% cnf(150757608,plain,(~is_a_theorem(implies(not(A),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142965872,142974720]),[]).
%
% cnf(175844464,plain,(is_a_theorem(implies(implies(implies(D,implies(not(A),C)),B),implies(A,B)))),inference(resolution,[status(thm)],[151025440,174757312]),[]).
%
% cnf(218013824,plain,(~is_a_theorem(implies(implies(D,implies(not(A),C)),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[142965872,175844464]),[]).
%
% cnf(173916528,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)],[142965872,154074744]),[]).
%
% cnf(167467304,plain,(~is_a_theorem(implies(implies(C,C),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[142965872,167076720]),[]).
%
% cnf(151877848,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[150777128,142970728]),[]).
%
% cnf(167668512,plain,(is_a_theorem(implies(A,implies(implies(not(B),B),B)))),inference(resolution,[status(thm)],[167467304,151877848]),[]).
%
% cnf(168157144,plain,(is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B)))),inference(resolution,[status(thm)],[151025440,167668512]),[]).
%
% cnf(188624400,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[173916528,168157144]),[]).
%
% cnf(255620056,plain,(is_a_theorem(implies(A,implies(C,implies(B,A))))),inference(resolution,[status(thm)],[218013824,188624400]),[]).
%
% cnf(258728424,plain,(~is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142965872,255620056]),[]).
%
% cnf(260242096,plain,(is_a_theorem(implies(C,implies(A,implies(B,A))))),inference(resolution,[status(thm)],[258728424,188624400]),[]).
%
% cnf(260368160,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(resolution,[status(thm)],[150757608,260242096]),[]).
%
% cnf(266216792,plain,(is_a_theorem(implies(implies(implies(C,A),B),implies(A,B)))),inference(resolution,[status(thm)],[151025440,260368160]),[]).
%
% cnf(269098088,plain,(~is_a_theorem(implies(implies(C,A),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[142965872,266216792]),[]).
%
% cnf(255205816,plain,(~is_a_theorem(implies(A,implies(not(B),B)))|is_a_theorem(implies(C,implies(A,B)))),inference(resolution,[status(thm)],[142965872,188624400]),[]).
%
% cnf(255783152,plain,(is_a_theorem(implies(B,implies(implies(implies(implies(not(C),C),C),A),A)))),inference(resolution,[status(thm)],[255205816,168157144]),[]).
%
% cnf(654698440,plain,(is_a_theorem(implies(implies(implies(implies(not(B),B),B),A),A))),inference(resolution,[status(thm)],[150757608,255783152]),[]).
%
% cnf(656779184,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(A,B)))),inference(resolution,[status(thm)],[173916528,654698440]),[]).
%
% cnf(659021608,plain,(is_a_theorem(implies(implies(not(A),implies(not(A),A)),A))),inference(resolution,[status(thm)],[154085792,656779184]),[]).
%
% cnf(662416224,plain,(~is_a_theorem(implies(implies(implies(not(B),implies(not(B),B)),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[142965872,659021608]),[]).
%
% cnf(177146864,plain,(is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A)))),inference(resolution,[status(thm)],[151025440,174273280]),[]).
%
% cnf(663994584,plain,(is_a_theorem(implies(implies(not(A),not(not(A))),A))),inference(resolution,[status(thm)],[662416224,177146864]),[]).
%
% cnf(664582384,plain,(is_a_theorem(implies(not(not(A)),A))),inference(resolution,[status(thm)],[269098088,663994584]),[]).
%
% cnf(666614520,plain,(is_a_theorem(implies(A,implies(not(not(not(A))),B)))),inference(resolution,[status(thm)],[177061936,664582384]),[]).
%
% cnf(678071088,plain,(is_a_theorem(implies(A,not(not(A))))),inference(resolution,[status(thm)],[154085792,666614520]),[]).
%
% cnf(686550424,plain,(is_a_theorem(implies(not(implies(A,implies(C,not(not(C))))),B))),inference(resolution,[status(thm)],[263131144,678071088]),[]).
%
% fof(prove_cn_36,plain,(~is_a_theorem(implies(not(x),implies(x,y)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL378-1.tptp',unknown),[]).
%
% cnf(142986464,plain,(~is_a_theorem(implies(not(x),implies(x,y)))),inference(rewrite,[status(thm)],[prove_cn_36]),[]).
%
% cnf(150973848,plain,(~is_a_theorem(implies(A,implies(not(x),implies(x,y))))|~is_a_theorem(A)),inference(resolution,[status(thm)],[142965872,142986464]),[]).
%
% cnf(156832872,plain,(~is_a_theorem(implies(implies(not(not(x)),A),implies(x,y)))),inference(resolution,[status(thm)],[152119024,150973848]),[]).
%
% cnf(201256240,plain,(~is_a_theorem(implies(x,not(not(x))))),inference(resolution,[status(thm)],[156832872,151025440]),[]).
%
% cnf(157098848,plain,(~is_a_theorem(implies(implies(A,A),B))|is_a_theorem(B)),inference(resolution,[status(thm)],[156691584,142965872]),[]).
%
% cnf(201642864,plain,(~is_a_theorem(implies(implies(A,A),implies(x,not(not(x)))))),inference(resolution,[status(thm)],[201256240,157098848]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[686550424,201642864,150757608]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------