%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL047-1 : TPTP v3.4.2. Released v1.0.0.
% 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 13:40:38 EDT 2009
% Result : Unsatisfiable 23.2s
% Output : Refutation 23.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 43 ( 28 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 21 ~; 17 |; 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 : 108 ( 33 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/LCL047-1.tptp',unknown),
[] ).
cnf(160296840,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/LCL047-1.tptp',unknown),
[] ).
cnf(160301696,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(168361192,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[160296840,160301696]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL047-1.tptp',unknown),
[] ).
cnf(160309600,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(168291216,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[160296840,160309600]),
[] ).
cnf(169467336,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[168291216,160301696]),
[] ).
cnf(173738736,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[169467336,160296840]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL047-1.tptp',unknown),
[] ).
cnf(160305688,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(168107984,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[160296840,160305688]),
[] ).
cnf(168873680,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[168107984,160301696]),
[] ).
cnf(171340848,plain,
is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C))),
inference(resolution,[status(thm)],[168873680,168361192]),
[] ).
cnf(182091840,plain,
( ~ is_a_theorem(implies(implies(implies(not(A),A),B),C))
| is_a_theorem(implies(implies(A,B),C)) ),
inference(resolution,[status(thm)],[160296840,171340848]),
[] ).
cnf(173805488,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[169467336,168107984]),
[] ).
cnf(168271976,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[160296840,160309600]),
[] ).
cnf(174170120,plain,
is_a_theorem(implies(not(implies(A,A)),B)),
inference(resolution,[status(thm)],[173805488,168271976]),
[] ).
cnf(174630304,plain,
is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C))),
inference(resolution,[status(thm)],[174170120,168361192]),
[] ).
cnf(178868224,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[173738736,174630304]),
[] ).
cnf(178964656,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[168361192,178868224]),
[] ).
cnf(184580712,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[182091840,178964656]),
[] ).
cnf(185102688,plain,
( ~ is_a_theorem(implies(implies(implies(implies(D,D),B),implies(C,B)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[160296840,184580712]),
[] ).
cnf(170853512,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[168361192,160301696]),
[] ).
cnf(190452400,plain,
is_a_theorem(implies(implies(C,B),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[185102688,170853512]),
[] ).
cnf(190900992,plain,
is_a_theorem(implies(A,implies(C,implies(not(A),B)))),
inference(resolution,[status(thm)],[173738736,190452400]),
[] ).
cnf(191961872,plain,
is_a_theorem(implies(implies(implies(D,implies(not(A),C)),B),implies(A,B))),
inference(resolution,[status(thm)],[168361192,190900992]),
[] ).
cnf(228416448,plain,
( ~ is_a_theorem(implies(implies(D,implies(not(A),C)),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[160296840,191961872]),
[] ).
cnf(190059216,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)],[160296840,170853512]),
[] ).
cnf(185083600,plain,
( ~ is_a_theorem(implies(implies(C,C),A))
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[160296840,184580712]),
[] ).
cnf(185268208,plain,
is_a_theorem(implies(A,implies(implies(not(B),B),B))),
inference(resolution,[status(thm)],[185083600,168873680]),
[] ).
cnf(185777272,plain,
is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B))),
inference(resolution,[status(thm)],[168361192,185268208]),
[] ).
cnf(207504744,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[190059216,185777272]),
[] ).
cnf(283814824,plain,
is_a_theorem(implies(A,implies(C,implies(B,A)))),
inference(resolution,[status(thm)],[228416448,207504744]),
[] ).
cnf(284489080,plain,
( ~ is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[160296840,283814824]),
[] ).
cnf(286130688,plain,
is_a_theorem(implies(C,implies(A,implies(B,A)))),
inference(resolution,[status(thm)],[284489080,207504744]),
[] ).
cnf(191880312,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(C,implies(not(A),B))) ),
inference(resolution,[status(thm)],[160296840,190900992]),
[] ).
fof(prove_cn_18,plain,
~ is_a_theorem(implies(a,implies(b,a))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL047-1.tptp',unknown),
[] ).
cnf(160317280,plain,
~ is_a_theorem(implies(a,implies(b,a))),
inference(rewrite,[status(thm)],[prove_cn_18]),
[] ).
cnf(168309648,plain,
( ~ is_a_theorem(implies(A,implies(a,implies(b,a))))
| ~ is_a_theorem(A) ),
inference(resolution,[status(thm)],[160296840,160317280]),
[] ).
cnf(287062552,plain,
~ is_a_theorem(A),
inference(forward_subsumption_resolution__resolution,[status(thm)],[286130688,191880312,168309648]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[287062552,160305688]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 23 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/LCL047-1.tptp',unknown),[]).
%
% cnf(160296840,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/LCL047-1.tptp',unknown),[]).
%
% cnf(160301696,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(168361192,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[160296840,160301696]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL047-1.tptp',unknown),[]).
%
% cnf(160309600,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(168291216,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[160296840,160309600]),[]).
%
% cnf(169467336,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[168291216,160301696]),[]).
%
% cnf(173738736,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[169467336,160296840]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL047-1.tptp',unknown),[]).
%
% cnf(160305688,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(168107984,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[160296840,160305688]),[]).
%
% cnf(168873680,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[168107984,160301696]),[]).
%
% cnf(171340848,plain,(is_a_theorem(implies(implies(implies(implies(not(A),A),B),C),implies(implies(A,B),C)))),inference(resolution,[status(thm)],[168873680,168361192]),[]).
%
% cnf(182091840,plain,(~is_a_theorem(implies(implies(implies(not(A),A),B),C))|is_a_theorem(implies(implies(A,B),C))),inference(resolution,[status(thm)],[160296840,171340848]),[]).
%
% cnf(173805488,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[169467336,168107984]),[]).
%
% cnf(168271976,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[160296840,160309600]),[]).
%
% cnf(174170120,plain,(is_a_theorem(implies(not(implies(A,A)),B))),inference(resolution,[status(thm)],[173805488,168271976]),[]).
%
% cnf(174630304,plain,(is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C)))),inference(resolution,[status(thm)],[174170120,168361192]),[]).
%
% cnf(178868224,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[173738736,174630304]),[]).
%
% cnf(178964656,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[168361192,178868224]),[]).
%
% cnf(184580712,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[182091840,178964656]),[]).
%
% cnf(185102688,plain,(~is_a_theorem(implies(implies(implies(implies(D,D),B),implies(C,B)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[160296840,184580712]),[]).
%
% cnf(170853512,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[168361192,160301696]),[]).
%
% cnf(190452400,plain,(is_a_theorem(implies(implies(C,B),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[185102688,170853512]),[]).
%
% cnf(190900992,plain,(is_a_theorem(implies(A,implies(C,implies(not(A),B))))),inference(resolution,[status(thm)],[173738736,190452400]),[]).
%
% cnf(191961872,plain,(is_a_theorem(implies(implies(implies(D,implies(not(A),C)),B),implies(A,B)))),inference(resolution,[status(thm)],[168361192,190900992]),[]).
%
% cnf(228416448,plain,(~is_a_theorem(implies(implies(D,implies(not(A),C)),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[160296840,191961872]),[]).
%
% cnf(190059216,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)],[160296840,170853512]),[]).
%
% cnf(185083600,plain,(~is_a_theorem(implies(implies(C,C),A))|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[160296840,184580712]),[]).
%
% cnf(185268208,plain,(is_a_theorem(implies(A,implies(implies(not(B),B),B)))),inference(resolution,[status(thm)],[185083600,168873680]),[]).
%
% cnf(185777272,plain,(is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B)))),inference(resolution,[status(thm)],[168361192,185268208]),[]).
%
% cnf(207504744,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[190059216,185777272]),[]).
%
% cnf(283814824,plain,(is_a_theorem(implies(A,implies(C,implies(B,A))))),inference(resolution,[status(thm)],[228416448,207504744]),[]).
%
% cnf(284489080,plain,(~is_a_theorem(implies(implies(B,implies(D,implies(C,B))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[160296840,283814824]),[]).
%
% cnf(286130688,plain,(is_a_theorem(implies(C,implies(A,implies(B,A))))),inference(resolution,[status(thm)],[284489080,207504744]),[]).
%
% cnf(191880312,plain,(~is_a_theorem(A)|is_a_theorem(implies(C,implies(not(A),B)))),inference(resolution,[status(thm)],[160296840,190900992]),[]).
%
% fof(prove_cn_18,plain,(~is_a_theorem(implies(a,implies(b,a)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL047-1.tptp',unknown),[]).
%
% cnf(160317280,plain,(~is_a_theorem(implies(a,implies(b,a)))),inference(rewrite,[status(thm)],[prove_cn_18]),[]).
%
% cnf(168309648,plain,(~is_a_theorem(implies(A,implies(a,implies(b,a))))|~is_a_theorem(A)),inference(resolution,[status(thm)],[160296840,160317280]),[]).
%
% cnf(287062552,plain,(~is_a_theorem(A)),inference(forward_subsumption_resolution__resolution,[status(thm)],[286130688,191880312,168309648]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[287062552,160305688]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------