TSTP Solution File: LCL401-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL401-1 : TPTP v3.4.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.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 13:49:18 EDT 2009
% Result : Unsatisfiable 356.6s
% Output : Refutation 356.6s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 5
% Syntax : Number of formulae : 68 ( 44 unt; 0 def)
% Number of atoms : 94 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 57 ( 31 ~; 26 |; 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 : 167 ( 54 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/LCL401-1.tptp',unknown),
[] ).
cnf(154255336,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
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/LCL401-1.tptp',unknown),
[] ).
cnf(154260192,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(162235392,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[154255336,154260192]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL401-1.tptp',unknown),
[] ).
cnf(154268160,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(162165280,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[154255336,154268160]),
[] ).
cnf(163484744,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[162165280,154260192]),
[] ).
cnf(170934664,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(B),C),D),implies(B,D)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[154255336,163484744]),
[] ).
cnf(164511744,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[162235392,154260192]),
[] ).
cnf(177211448,plain,
is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[170934664,164511744]),
[] ).
cnf(177492528,plain,
is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A))),
inference(resolution,[status(thm)],[162235392,177211448]),
[] ).
cnf(296127968,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,C)),A))
| is_a_theorem(implies(implies(D,not(B)),A)) ),
inference(resolution,[status(thm)],[154255336,177492528]),
[] ).
cnf(176849648,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)],[154255336,164511744]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL401-1.tptp',unknown),
[] ).
cnf(154264184,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(162066608,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[154255336,154264184]),
[] ).
cnf(162833360,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[162066608,154260192]),
[] ).
cnf(165946352,plain,
is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))),
inference(resolution,[status(thm)],[162833360,162235392]),
[] ).
cnf(185823056,plain,
( ~ is_a_theorem(implies(implies(implies(not(A),A),B),C))
| is_a_theorem(implies(implies(A,B),C)) ),
inference(resolution,[status(thm)],[154255336,165946352]),
[] ).
cnf(170915624,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[154255336,163484744]),
[] ).
cnf(162146040,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[154255336,154268160]),
[] ).
cnf(170970504,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[162066608,163484744]),
[] ).
cnf(171139952,plain,
is_a_theorem(implies(not(implies(B,B)),A)),
inference(resolution,[status(thm)],[162146040,170970504]),
[] ).
cnf(171243472,plain,
is_a_theorem(implies(implies(A,B),implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[162235392,171139952]),
[] ).
cnf(173067912,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[170915624,171243472]),
[] ).
cnf(173197360,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[162235392,173067912]),
[] ).
cnf(186941656,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[185823056,173197360]),
[] ).
cnf(187528024,plain,
( ~ is_a_theorem(implies(implies(C,C),A))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[154255336,186941656]),
[] ).
cnf(187776792,plain,
is_a_theorem(implies(A,implies(implies(not(B),B),B))),
inference(resolution,[status(thm)],[187528024,162833360]),
[] ).
cnf(188367536,plain,
is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B))),
inference(resolution,[status(thm)],[162235392,187776792]),
[] ).
cnf(217108104,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[176849648,188367536]),
[] ).
cnf(324687016,plain,
is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[296127968,217108104]),
[] ).
cnf(468289616,plain,
( ~ is_a_theorem(implies(not(B),not(A)))
| is_a_theorem(implies(C,implies(A,B))) ),
inference(resolution,[status(thm)],[154255336,324687016]),
[] ).
cnf(162047088,plain,
( ~ is_a_theorem(implies(not(A),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[154255336,154264184]),
[] ).
cnf(177604896,plain,
is_a_theorem(implies(A,implies(B,implies(not(A),C)))),
inference(resolution,[status(thm)],[170915624,177211448]),
[] ).
cnf(178016808,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,implies(not(A),C))) ),
inference(resolution,[status(thm)],[154255336,177604896]),
[] ).
cnf(164521976,plain,
( ~ is_a_theorem(implies(A,implies(not(B),B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[162235392,162066608]),
[] ).
cnf(221205272,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[178016808,164521976]),
[] ).
cnf(221958616,plain,
( is_a_theorem(implies(A,implies(B,C)))
| ~ is_a_theorem(implies(B,implies(not(C),C))) ),
inference(resolution,[status(thm)],[221205272,164521976]),
[] ).
cnf(178099608,plain,
is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B))),
inference(resolution,[status(thm)],[162235392,177604896]),
[] ).
cnf(197727872,plain,
( ~ is_a_theorem(implies(implies(C,implies(not(A),D)),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[154255336,178099608]),
[] ).
cnf(323944712,plain,
is_a_theorem(implies(A,implies(C,implies(B,A)))),
inference(resolution,[status(thm)],[197727872,217108104]),
[] ).
cnf(326721448,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(resolution,[status(thm)],[221958616,323944712]),
[] ).
cnf(327211736,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(resolution,[status(thm)],[162047088,326721448]),
[] ).
cnf(328168072,plain,
is_a_theorem(implies(implies(implies(C,A),B),implies(A,B))),
inference(resolution,[status(thm)],[162235392,327211736]),
[] ).
cnf(338588696,plain,
( ~ is_a_theorem(implies(implies(C,A),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[154255336,328168072]),
[] ).
cnf(468798088,plain,
is_a_theorem(implies(not(A),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[338588696,324687016]),
[] ).
cnf(470492368,plain,
is_a_theorem(implies(A,implies(not(B),implies(B,C)))),
inference(resolution,[status(thm)],[221958616,468798088]),
[] ).
cnf(473604424,plain,
is_a_theorem(implies(not(A),implies(A,B))),
inference(resolution,[status(thm)],[162047088,470492368]),
[] ).
cnf(475421728,plain,
is_a_theorem(implies(A,implies(not(not(B)),B))),
inference(resolution,[status(thm)],[221958616,473604424]),
[] ).
cnf(475961440,plain,
is_a_theorem(implies(not(not(A)),A)),
inference(resolution,[status(thm)],[162047088,475421728]),
[] ).
cnf(477334152,plain,
is_a_theorem(implies(implies(A,B),implies(not(not(A)),B))),
inference(resolution,[status(thm)],[162235392,475961440]),
[] ).
cnf(541941136,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(not(not(A)),B)) ),
inference(resolution,[status(thm)],[154255336,477334152]),
[] ).
cnf(477311864,plain,
( ~ is_a_theorem(implies(implies(not(not(B)),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[154255336,475961440]),
[] ).
cnf(478143992,plain,
is_a_theorem(implies(B,implies(A,not(not(A))))),
inference(resolution,[status(thm)],[477311864,324687016]),
[] ).
cnf(479246120,plain,
is_a_theorem(implies(A,not(not(A)))),
inference(resolution,[status(thm)],[162047088,478143992]),
[] ).
cnf(483901432,plain,
is_a_theorem(implies(A,not(not(implies(B,A))))),
inference(resolution,[status(thm)],[338588696,479246120]),
[] ).
cnf(542738768,plain,
is_a_theorem(implies(not(not(A)),not(not(implies(B,A))))),
inference(resolution,[status(thm)],[541941136,483901432]),
[] ).
cnf(649724704,plain,
is_a_theorem(implies(A,implies(not(implies(C,B)),not(B)))),
inference(resolution,[status(thm)],[468289616,542738768]),
[] ).
cnf(164433664,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(not(implies(implies(B,C),implies(A,C))),D)) ),
inference(resolution,[status(thm)],[162235392,162146040]),
[] ).
fof(prove_cn_67,plain,
~ is_a_theorem(implies(not(implies(x,y)),not(y))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL401-1.tptp',unknown),
[] ).
cnf(154276008,plain,
~ is_a_theorem(implies(not(implies(x,y)),not(y))),
inference(rewrite,[status(thm)],[prove_cn_67]),
[] ).
cnf(162183752,plain,
( ~ is_a_theorem(implies(A,implies(not(implies(x,y)),not(y))))
| ~ is_a_theorem(A) ),
inference(resolution,[status(thm)],[154255336,154276008]),
[] ).
cnf(675012520,plain,
~ is_a_theorem(implies(A,B)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[649724704,164433664,162183752]),
[] ).
cnf(675107288,plain,
~ is_a_theorem(B),
inference(forward_subsumption_resolution__resolution,[status(thm)],[675012520,164433664,221205272]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[675107288,154264184]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 366 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/LCL401-1.tptp',unknown),[]).
%
% cnf(154255336,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% 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/LCL401-1.tptp',unknown),[]).
%
% cnf(154260192,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(162235392,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[154255336,154260192]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL401-1.tptp',unknown),[]).
%
% cnf(154268160,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(162165280,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[154255336,154268160]),[]).
%
% cnf(163484744,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[162165280,154260192]),[]).
%
% cnf(170934664,plain,(~is_a_theorem(implies(implies(implies(implies(not(B),C),D),implies(B,D)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[154255336,163484744]),[]).
%
% cnf(164511744,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[162235392,154260192]),[]).
%
% cnf(177211448,plain,(is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[170934664,164511744]),[]).
%
% cnf(177492528,plain,(is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A)))),inference(resolution,[status(thm)],[162235392,177211448]),[]).
%
% cnf(296127968,plain,(~is_a_theorem(implies(implies(B,implies(D,C)),A))|is_a_theorem(implies(implies(D,not(B)),A))),inference(resolution,[status(thm)],[154255336,177492528]),[]).
%
% cnf(176849648,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)],[154255336,164511744]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL401-1.tptp',unknown),[]).
%
% cnf(154264184,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(162066608,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[154255336,154264184]),[]).
%
% cnf(162833360,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[162066608,154260192]),[]).
%
% cnf(165946352,plain,(is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C)))),inference(resolution,[status(thm)],[162833360,162235392]),[]).
%
% cnf(185823056,plain,(~is_a_theorem(implies(implies(implies(not(A),A),B),C))|is_a_theorem(implies(implies(A,B),C))),inference(resolution,[status(thm)],[154255336,165946352]),[]).
%
% cnf(170915624,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[154255336,163484744]),[]).
%
% cnf(162146040,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[154255336,154268160]),[]).
%
% cnf(170970504,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[162066608,163484744]),[]).
%
% cnf(171139952,plain,(is_a_theorem(implies(not(implies(B,B)),A))),inference(resolution,[status(thm)],[162146040,170970504]),[]).
%
% cnf(171243472,plain,(is_a_theorem(implies(implies(A,B),implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[162235392,171139952]),[]).
%
% cnf(173067912,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[170915624,171243472]),[]).
%
% cnf(173197360,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[162235392,173067912]),[]).
%
% cnf(186941656,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[185823056,173197360]),[]).
%
% cnf(187528024,plain,(~is_a_theorem(implies(implies(C,C),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[154255336,186941656]),[]).
%
% cnf(187776792,plain,(is_a_theorem(implies(A,implies(implies(not(B),B),B)))),inference(resolution,[status(thm)],[187528024,162833360]),[]).
%
% cnf(188367536,plain,(is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B)))),inference(resolution,[status(thm)],[162235392,187776792]),[]).
%
% cnf(217108104,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[176849648,188367536]),[]).
%
% cnf(324687016,plain,(is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[296127968,217108104]),[]).
%
% cnf(468289616,plain,(~is_a_theorem(implies(not(B),not(A)))|is_a_theorem(implies(C,implies(A,B)))),inference(resolution,[status(thm)],[154255336,324687016]),[]).
%
% cnf(162047088,plain,(~is_a_theorem(implies(not(A),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[154255336,154264184]),[]).
%
% cnf(177604896,plain,(is_a_theorem(implies(A,implies(B,implies(not(A),C))))),inference(resolution,[status(thm)],[170915624,177211448]),[]).
%
% cnf(178016808,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,implies(not(A),C)))),inference(resolution,[status(thm)],[154255336,177604896]),[]).
%
% cnf(164521976,plain,(~is_a_theorem(implies(A,implies(not(B),B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[162235392,162066608]),[]).
%
% cnf(221205272,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[178016808,164521976]),[]).
%
% cnf(221958616,plain,(is_a_theorem(implies(A,implies(B,C)))|~is_a_theorem(implies(B,implies(not(C),C)))),inference(resolution,[status(thm)],[221205272,164521976]),[]).
%
% cnf(178099608,plain,(is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B)))),inference(resolution,[status(thm)],[162235392,177604896]),[]).
%
% cnf(197727872,plain,(~is_a_theorem(implies(implies(C,implies(not(A),D)),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[154255336,178099608]),[]).
%
% cnf(323944712,plain,(is_a_theorem(implies(A,implies(C,implies(B,A))))),inference(resolution,[status(thm)],[197727872,217108104]),[]).
%
% cnf(326721448,plain,(is_a_theorem(implies(A,implies(B,implies(C,B))))),inference(resolution,[status(thm)],[221958616,323944712]),[]).
%
% cnf(327211736,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(resolution,[status(thm)],[162047088,326721448]),[]).
%
% cnf(328168072,plain,(is_a_theorem(implies(implies(implies(C,A),B),implies(A,B)))),inference(resolution,[status(thm)],[162235392,327211736]),[]).
%
% cnf(338588696,plain,(~is_a_theorem(implies(implies(C,A),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[154255336,328168072]),[]).
%
% cnf(468798088,plain,(is_a_theorem(implies(not(A),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[338588696,324687016]),[]).
%
% cnf(470492368,plain,(is_a_theorem(implies(A,implies(not(B),implies(B,C))))),inference(resolution,[status(thm)],[221958616,468798088]),[]).
%
% cnf(473604424,plain,(is_a_theorem(implies(not(A),implies(A,B)))),inference(resolution,[status(thm)],[162047088,470492368]),[]).
%
% cnf(475421728,plain,(is_a_theorem(implies(A,implies(not(not(B)),B)))),inference(resolution,[status(thm)],[221958616,473604424]),[]).
%
% cnf(475961440,plain,(is_a_theorem(implies(not(not(A)),A))),inference(resolution,[status(thm)],[162047088,475421728]),[]).
%
% cnf(477334152,plain,(is_a_theorem(implies(implies(A,B),implies(not(not(A)),B)))),inference(resolution,[status(thm)],[162235392,475961440]),[]).
%
% cnf(541941136,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(not(not(A)),B))),inference(resolution,[status(thm)],[154255336,477334152]),[]).
%
% cnf(477311864,plain,(~is_a_theorem(implies(implies(not(not(B)),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[154255336,475961440]),[]).
%
% cnf(478143992,plain,(is_a_theorem(implies(B,implies(A,not(not(A)))))),inference(resolution,[status(thm)],[477311864,324687016]),[]).
%
% cnf(479246120,plain,(is_a_theorem(implies(A,not(not(A))))),inference(resolution,[status(thm)],[162047088,478143992]),[]).
%
% cnf(483901432,plain,(is_a_theorem(implies(A,not(not(implies(B,A)))))),inference(resolution,[status(thm)],[338588696,479246120]),[]).
%
% cnf(542738768,plain,(is_a_theorem(implies(not(not(A)),not(not(implies(B,A)))))),inference(resolution,[status(thm)],[541941136,483901432]),[]).
%
% cnf(649724704,plain,(is_a_theorem(implies(A,implies(not(implies(C,B)),not(B))))),inference(resolution,[status(thm)],[468289616,542738768]),[]).
%
% cnf(164433664,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(not(implies(implies(B,C),implies(A,C))),D))),inference(resolution,[status(thm)],[162235392,162146040]),[]).
%
% fof(prove_cn_67,plain,(~is_a_theorem(implies(not(implies(x,y)),not(y)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL401-1.tptp',unknown),[]).
%
% cnf(154276008,plain,(~is_a_theorem(implies(not(implies(x,y)),not(y)))),inference(rewrite,[status(thm)],[prove_cn_67]),[]).
%
% cnf(162183752,plain,(~is_a_theorem(implies(A,implies(not(implies(x,y)),not(y))))|~is_a_theorem(A)),inference(resolution,[status(thm)],[154255336,154276008]),[]).
%
% cnf(675012520,plain,(~is_a_theorem(implies(A,B))),inference(forward_subsumption_resolution__resolution,[status(thm)],[649724704,164433664,162183752]),[]).
%
% cnf(675107288,plain,(~is_a_theorem(B)),inference(forward_subsumption_resolution__resolution,[status(thm)],[675012520,164433664,221205272]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[675107288,154264184]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------