TSTP Solution File: LCL379-1 by Faust---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL379-1 : TPTP v3.4.2. Released v2.3.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art08.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 13:48:48 EDT 2009
% Result : Unsatisfiable 318.2s
% Output : Refutation 318.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 5
% Syntax : Number of formulae : 62 ( 37 unt; 0 def)
% Number of atoms : 89 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 31 ~; 27 |; 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 : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 159 ( 51 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/LCL379-1.tptp',unknown),
[] ).
cnf(145874864,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/LCL379-1.tptp',unknown),
[] ).
cnf(145887592,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(153710712,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[145874864,145887592]),
[] ).
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/LCL379-1.tptp',unknown),
[] ).
cnf(145879688,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(154740376,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[153710712,145879688]),
[] ).
cnf(158720840,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[154740376,145874864]),
[] ).
cnf(158740040,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))
| is_a_theorem(D) ),
inference(resolution,[status(thm)],[154740376,145874864]),
[] ).
cnf(153865008,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[145874864,145879688]),
[] ).
cnf(155781632,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[153865008,145879688]),
[] ).
cnf(167208936,plain,
is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[158740040,155781632]),
[] ).
cnf(167576912,plain,
is_a_theorem(implies(A,implies(B,implies(not(A),C)))),
inference(resolution,[status(thm)],[158720840,167208936]),
[] ).
cnf(167914176,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,implies(not(A),C))) ),
inference(resolution,[status(thm)],[145874864,167576912]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL379-1.tptp',unknown),
[] ).
cnf(145883648,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(153681112,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[145874864,145883648]),
[] ).
cnf(155791808,plain,
( ~ is_a_theorem(implies(A,implies(not(B),B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[153865008,153681112]),
[] ).
cnf(210674832,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[167914176,155791808]),
[] ).
cnf(210984040,plain,
( is_a_theorem(implies(A,implies(B,C)))
| ~ is_a_theorem(implies(B,implies(not(C),C))) ),
inference(resolution,[status(thm)],[210674832,155791808]),
[] ).
cnf(153661624,plain,
( ~ is_a_theorem(implies(not(A),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[145874864,145883648]),
[] ).
cnf(168000704,plain,
is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B))),
inference(resolution,[status(thm)],[153865008,167576912]),
[] ).
cnf(190750168,plain,
( ~ is_a_theorem(implies(implies(C,implies(not(A),D)),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[145874864,168000704]),
[] ).
cnf(166897552,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)],[145874864,155781632]),
[] ).
cnf(154449496,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[153681112,145879688]),
[] ).
cnf(156440472,plain,
is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))),
inference(resolution,[status(thm)],[154449496,153865008]),
[] ).
cnf(166436088,plain,
( ~ is_a_theorem(implies(implies(implies(not(A),A),B),C))
| is_a_theorem(implies(implies(A,B),C)) ),
inference(resolution,[status(thm)],[145874864,156440472]),
[] ).
cnf(158770048,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[154740376,153681112]),
[] ).
cnf(153691424,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[145874864,145887592]),
[] ).
cnf(159075480,plain,
is_a_theorem(implies(not(implies(A,A)),B)),
inference(resolution,[status(thm)],[158770048,153691424]),
[] ).
cnf(159502184,plain,
is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C))),
inference(resolution,[status(thm)],[159075480,153865008]),
[] ).
cnf(163407544,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[158720840,159502184]),
[] ).
cnf(163509752,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[153865008,163407544]),
[] ).
cnf(177331504,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[166436088,163509752]),
[] ).
cnf(177954704,plain,
( ~ is_a_theorem(implies(implies(C,C),A))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[145874864,177331504]),
[] ).
cnf(178197560,plain,
is_a_theorem(implies(A,implies(implies(not(B),B),B))),
inference(resolution,[status(thm)],[177954704,154449496]),
[] ).
cnf(178798912,plain,
is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B))),
inference(resolution,[status(thm)],[153865008,178197560]),
[] ).
cnf(219832360,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[166897552,178798912]),
[] ).
cnf(354266288,plain,
is_a_theorem(implies(A,implies(C,implies(B,A)))),
inference(resolution,[status(thm)],[190750168,219832360]),
[] ).
cnf(355388440,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[145874864,354266288]),
[] ).
cnf(167338944,plain,
is_a_theorem(implies(implies(A,implies(not(C),C)),implies(implies(C,B),implies(A,B)))),
inference(resolution,[status(thm)],[166897552,156440472]),
[] ).
cnf(357703632,plain,
is_a_theorem(implies(implies(implies(B,A),C),implies(A,C))),
inference(resolution,[status(thm)],[355388440,167338944]),
[] ).
cnf(366611200,plain,
( ~ is_a_theorem(implies(implies(B,A),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[145874864,357703632]),
[] ).
cnf(167502744,plain,
is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A))),
inference(resolution,[status(thm)],[153865008,167208936]),
[] ).
cnf(259345640,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,C)),A))
| is_a_theorem(implies(implies(D,not(B)),A)) ),
inference(resolution,[status(thm)],[145874864,167502744]),
[] ).
cnf(355108784,plain,
is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[259345640,219832360]),
[] ).
cnf(505015928,plain,
is_a_theorem(implies(not(A),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[366611200,355108784]),
[] ).
cnf(506997280,plain,
is_a_theorem(implies(A,implies(not(B),implies(B,C)))),
inference(resolution,[status(thm)],[210984040,505015928]),
[] ).
cnf(507688840,plain,
is_a_theorem(implies(not(A),implies(A,B))),
inference(resolution,[status(thm)],[153661624,506997280]),
[] ).
cnf(509838632,plain,
( ~ is_a_theorem(implies(implies(not(B),implies(B,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[145874864,507688840]),
[] ).
cnf(510545432,plain,
is_a_theorem(implies(implies(A,B),implies(not(not(A)),B))),
inference(resolution,[status(thm)],[509838632,167338944]),
[] ).
cnf(565632408,plain,
is_a_theorem(implies(A,implies(implies(B,not(B)),not(B)))),
inference(resolution,[status(thm)],[210984040,510545432]),
[] ).
cnf(154039288,plain,
( is_a_theorem(implies(not(implies(not(B),C)),A))
| ~ is_a_theorem(B) ),
inference(resolution,[status(thm)],[153691424,153691424]),
[] ).
cnf(154020120,plain,
( is_a_theorem(implies(not(A),B))
| ~ is_a_theorem(implies(not(A),A)) ),
inference(resolution,[status(thm)],[153691424,153661624]),
[] ).
cnf(155333816,plain,
( is_a_theorem(implies(not(implies(not(implies(not(C),D)),B)),A))
| ~ is_a_theorem(implies(not(C),C)) ),
inference(resolution,[status(thm)],[154039288,154020120]),
[] ).
fof(prove_cn_38,plain,
~ is_a_theorem(implies(implies(x,not(x)),not(x))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL379-1.tptp',unknown),
[] ).
cnf(145895440,plain,
~ is_a_theorem(implies(implies(x,not(x)),not(x))),
inference(rewrite,[status(thm)],[prove_cn_38]),
[] ).
cnf(153813416,plain,
( ~ is_a_theorem(implies(A,implies(implies(x,not(x)),not(x))))
| ~ is_a_theorem(A) ),
inference(resolution,[status(thm)],[145874864,145895440]),
[] ).
cnf(581349960,plain,
~ is_a_theorem(implies(not(C),C)),
inference(forward_subsumption_resolution__resolution,[status(thm)],[565632408,155333816,153813416]),
[] ).
cnf(153728184,plain,
is_a_theorem(implies(not(implies(implies(not(B),B),B)),A)),
inference(resolution,[status(thm)],[153691424,145883648]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[581349960,153728184]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 318 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/LCL379-1.tptp',unknown),[]).
%
% cnf(145874864,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/LCL379-1.tptp',unknown),[]).
%
% cnf(145887592,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(153710712,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[145874864,145887592]),[]).
%
% 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/LCL379-1.tptp',unknown),[]).
%
% cnf(145879688,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(154740376,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[153710712,145879688]),[]).
%
% cnf(158720840,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[154740376,145874864]),[]).
%
% cnf(158740040,plain,(~is_a_theorem(implies(implies(implies(implies(not(A),B),C),implies(A,C)),D))|is_a_theorem(D)),inference(resolution,[status(thm)],[154740376,145874864]),[]).
%
% cnf(153865008,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[145874864,145879688]),[]).
%
% cnf(155781632,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[153865008,145879688]),[]).
%
% cnf(167208936,plain,(is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[158740040,155781632]),[]).
%
% cnf(167576912,plain,(is_a_theorem(implies(A,implies(B,implies(not(A),C))))),inference(resolution,[status(thm)],[158720840,167208936]),[]).
%
% cnf(167914176,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,implies(not(A),C)))),inference(resolution,[status(thm)],[145874864,167576912]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL379-1.tptp',unknown),[]).
%
% cnf(145883648,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(153681112,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[145874864,145883648]),[]).
%
% cnf(155791808,plain,(~is_a_theorem(implies(A,implies(not(B),B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[153865008,153681112]),[]).
%
% cnf(210674832,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[167914176,155791808]),[]).
%
% cnf(210984040,plain,(is_a_theorem(implies(A,implies(B,C)))|~is_a_theorem(implies(B,implies(not(C),C)))),inference(resolution,[status(thm)],[210674832,155791808]),[]).
%
% cnf(153661624,plain,(~is_a_theorem(implies(not(A),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[145874864,145883648]),[]).
%
% cnf(168000704,plain,(is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B)))),inference(resolution,[status(thm)],[153865008,167576912]),[]).
%
% cnf(190750168,plain,(~is_a_theorem(implies(implies(C,implies(not(A),D)),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[145874864,168000704]),[]).
%
% cnf(166897552,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)],[145874864,155781632]),[]).
%
% cnf(154449496,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[153681112,145879688]),[]).
%
% cnf(156440472,plain,(is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C)))),inference(resolution,[status(thm)],[154449496,153865008]),[]).
%
% cnf(166436088,plain,(~is_a_theorem(implies(implies(implies(not(A),A),B),C))|is_a_theorem(implies(implies(A,B),C))),inference(resolution,[status(thm)],[145874864,156440472]),[]).
%
% cnf(158770048,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[154740376,153681112]),[]).
%
% cnf(153691424,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[145874864,145887592]),[]).
%
% cnf(159075480,plain,(is_a_theorem(implies(not(implies(A,A)),B))),inference(resolution,[status(thm)],[158770048,153691424]),[]).
%
% cnf(159502184,plain,(is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C)))),inference(resolution,[status(thm)],[159075480,153865008]),[]).
%
% cnf(163407544,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[158720840,159502184]),[]).
%
% cnf(163509752,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[153865008,163407544]),[]).
%
% cnf(177331504,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[166436088,163509752]),[]).
%
% cnf(177954704,plain,(~is_a_theorem(implies(implies(C,C),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[145874864,177331504]),[]).
%
% cnf(178197560,plain,(is_a_theorem(implies(A,implies(implies(not(B),B),B)))),inference(resolution,[status(thm)],[177954704,154449496]),[]).
%
% cnf(178798912,plain,(is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B)))),inference(resolution,[status(thm)],[153865008,178197560]),[]).
%
% cnf(219832360,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[166897552,178798912]),[]).
%
% cnf(354266288,plain,(is_a_theorem(implies(A,implies(C,implies(B,A))))),inference(resolution,[status(thm)],[190750168,219832360]),[]).
%
% cnf(355388440,plain,(~is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[145874864,354266288]),[]).
%
% cnf(167338944,plain,(is_a_theorem(implies(implies(A,implies(not(C),C)),implies(implies(C,B),implies(A,B))))),inference(resolution,[status(thm)],[166897552,156440472]),[]).
%
% cnf(357703632,plain,(is_a_theorem(implies(implies(implies(B,A),C),implies(A,C)))),inference(resolution,[status(thm)],[355388440,167338944]),[]).
%
% cnf(366611200,plain,(~is_a_theorem(implies(implies(B,A),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[145874864,357703632]),[]).
%
% cnf(167502744,plain,(is_a_theorem(implies(implies(implies(B,implies(D,C)),A),implies(implies(D,not(B)),A)))),inference(resolution,[status(thm)],[153865008,167208936]),[]).
%
% cnf(259345640,plain,(~is_a_theorem(implies(implies(B,implies(D,C)),A))|is_a_theorem(implies(implies(D,not(B)),A))),inference(resolution,[status(thm)],[145874864,167502744]),[]).
%
% cnf(355108784,plain,(is_a_theorem(implies(implies(not(B),not(A)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[259345640,219832360]),[]).
%
% cnf(505015928,plain,(is_a_theorem(implies(not(A),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[366611200,355108784]),[]).
%
% cnf(506997280,plain,(is_a_theorem(implies(A,implies(not(B),implies(B,C))))),inference(resolution,[status(thm)],[210984040,505015928]),[]).
%
% cnf(507688840,plain,(is_a_theorem(implies(not(A),implies(A,B)))),inference(resolution,[status(thm)],[153661624,506997280]),[]).
%
% cnf(509838632,plain,(~is_a_theorem(implies(implies(not(B),implies(B,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[145874864,507688840]),[]).
%
% cnf(510545432,plain,(is_a_theorem(implies(implies(A,B),implies(not(not(A)),B)))),inference(resolution,[status(thm)],[509838632,167338944]),[]).
%
% cnf(565632408,plain,(is_a_theorem(implies(A,implies(implies(B,not(B)),not(B))))),inference(resolution,[status(thm)],[210984040,510545432]),[]).
%
% cnf(154039288,plain,(is_a_theorem(implies(not(implies(not(B),C)),A))|~is_a_theorem(B)),inference(resolution,[status(thm)],[153691424,153691424]),[]).
%
% cnf(154020120,plain,(is_a_theorem(implies(not(A),B))|~is_a_theorem(implies(not(A),A))),inference(resolution,[status(thm)],[153691424,153661624]),[]).
%
% cnf(155333816,plain,(is_a_theorem(implies(not(implies(not(implies(not(C),D)),B)),A))|~is_a_theorem(implies(not(C),C))),inference(resolution,[status(thm)],[154039288,154020120]),[]).
%
% fof(prove_cn_38,plain,(~is_a_theorem(implies(implies(x,not(x)),not(x)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL379-1.tptp',unknown),[]).
%
% cnf(145895440,plain,(~is_a_theorem(implies(implies(x,not(x)),not(x)))),inference(rewrite,[status(thm)],[prove_cn_38]),[]).
%
% cnf(153813416,plain,(~is_a_theorem(implies(A,implies(implies(x,not(x)),not(x))))|~is_a_theorem(A)),inference(resolution,[status(thm)],[145874864,145895440]),[]).
%
% cnf(581349960,plain,(~is_a_theorem(implies(not(C),C))),inference(forward_subsumption_resolution__resolution,[status(thm)],[565632408,155333816,153813416]),[]).
%
% cnf(153728184,plain,(is_a_theorem(implies(not(implies(implies(not(B),B),B)),A))),inference(resolution,[status(thm)],[153691424,145883648]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[581349960,153728184]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------