%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL048-1 : 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 13:40:40 EDT 2009
% Result : Unsatisfiable 62.3s
% Output : Refutation 62.3s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 5
% Syntax : Number of formulae : 45 ( 29 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 20 ~; 18 |; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 111 ( 35 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_cn_19,plain,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(b,c))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL048-1.tptp',unknown),
[] ).
cnf(143510056,plain,
~ is_a_theorem(implies(implies(implies(a,b),c),implies(b,c))),
inference(rewrite,[status(thm)],[prove_cn_19]),
[] ).
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/LCL048-1.tptp',unknown),
[] ).
cnf(143489488,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/LCL048-1.tptp',unknown),
[] ).
cnf(143494376,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(151409520,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[143489488,143494376]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL048-1.tptp',unknown),
[] ).
cnf(143498400,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(151285792,plain,
( ~ is_a_theorem(implies(not(A),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[143489488,143498400]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL048-1.tptp',unknown),
[] ).
cnf(143502312,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(151358024,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[143489488,143502312]),
[] ).
cnf(152456496,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[151358024,143494376]),
[] ).
cnf(157616680,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[143489488,152456496]),
[] ).
cnf(157638920,plain,
( ~ is_a_theorem(implies(implies(implies(implies(not(B),C),D),implies(B,D)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[143489488,152456496]),
[] ).
cnf(153225664,plain,
is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[151409520,143494376]),
[] ).
cnf(163909328,plain,
is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B)))),
inference(resolution,[status(thm)],[157638920,153225664]),
[] ).
cnf(164302928,plain,
is_a_theorem(implies(A,implies(B,implies(not(A),C)))),
inference(resolution,[status(thm)],[157616680,163909328]),
[] ).
cnf(164736112,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,implies(not(A),C))) ),
inference(resolution,[status(thm)],[143489488,164302928]),
[] ).
cnf(151305344,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[143489488,143498400]),
[] ).
cnf(153240856,plain,
( ~ is_a_theorem(implies(A,implies(not(B),B)))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[151409520,151305344]),
[] ).
cnf(216252448,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(B,A)) ),
inference(resolution,[status(thm)],[164736112,153240856]),
[] ).
cnf(216606992,plain,
( is_a_theorem(implies(A,implies(B,C)))
| ~ is_a_theorem(implies(B,implies(not(C),C))) ),
inference(resolution,[status(thm)],[216252448,153240856]),
[] ).
cnf(164819664,plain,
is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B))),
inference(resolution,[status(thm)],[151409520,164302928]),
[] ).
cnf(188940184,plain,
( ~ is_a_theorem(implies(implies(C,implies(not(A),D)),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[143489488,164819664]),
[] ).
cnf(163547080,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)],[143489488,153225664]),
[] ).
cnf(151338784,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[143489488,143502312]),
[] ).
cnf(157671424,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[151305344,152456496]),
[] ).
cnf(157839784,plain,
is_a_theorem(implies(not(implies(B,B)),A)),
inference(resolution,[status(thm)],[151338784,157671424]),
[] ).
cnf(157944152,plain,
is_a_theorem(implies(implies(A,B),implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[151409520,157839784]),
[] ).
cnf(159766232,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[157616680,157944152]),
[] ).
cnf(159899288,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[151409520,159766232]),
[] ).
cnf(170766824,plain,
is_a_theorem(implies(A,implies(B,B))),
inference(resolution,[status(thm)],[151305344,159899288]),
[] ).
cnf(171286440,plain,
is_a_theorem(implies(implies(implies(C,C),B),implies(A,B))),
inference(resolution,[status(thm)],[151409520,170766824]),
[] ).
cnf(171751480,plain,
( ~ is_a_theorem(implies(implies(C,C),B))
| is_a_theorem(implies(A,B)) ),
inference(resolution,[status(thm)],[143489488,171286440]),
[] ).
cnf(152046800,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[151305344,143494376]),
[] ).
cnf(172002568,plain,
is_a_theorem(implies(A,implies(implies(not(B),B),B))),
inference(resolution,[status(thm)],[171751480,152046800]),
[] ).
cnf(172572000,plain,
is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B))),
inference(resolution,[status(thm)],[151409520,172002568]),
[] ).
cnf(204353184,plain,
is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B)))),
inference(resolution,[status(thm)],[163547080,172572000]),
[] ).
cnf(338183016,plain,
is_a_theorem(implies(A,implies(C,implies(B,A)))),
inference(resolution,[status(thm)],[188940184,204353184]),
[] ).
cnf(339784776,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(resolution,[status(thm)],[216606992,338183016]),
[] ).
cnf(341624496,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(resolution,[status(thm)],[151285792,339784776]),
[] ).
cnf(343774040,plain,
is_a_theorem(implies(implies(implies(C,A),B),implies(A,B))),
inference(resolution,[status(thm)],[151409520,341624496]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[143510056,343774040]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 61 seconds
% START OF PROOF SEQUENCE
% fof(prove_cn_19,plain,(~is_a_theorem(implies(implies(implies(a,b),c),implies(b,c)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL048-1.tptp',unknown),[]).
%
% cnf(143510056,plain,(~is_a_theorem(implies(implies(implies(a,b),c),implies(b,c)))),inference(rewrite,[status(thm)],[prove_cn_19]),[]).
%
% 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/LCL048-1.tptp',unknown),[]).
%
% cnf(143489488,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/LCL048-1.tptp',unknown),[]).
%
% cnf(143494376,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(151409520,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[143489488,143494376]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL048-1.tptp',unknown),[]).
%
% cnf(143498400,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(151285792,plain,(~is_a_theorem(implies(not(A),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[143489488,143498400]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL048-1.tptp',unknown),[]).
%
% cnf(143502312,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(151358024,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[143489488,143502312]),[]).
%
% cnf(152456496,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[151358024,143494376]),[]).
%
% cnf(157616680,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[143489488,152456496]),[]).
%
% cnf(157638920,plain,(~is_a_theorem(implies(implies(implies(implies(not(B),C),D),implies(B,D)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[143489488,152456496]),[]).
%
% cnf(153225664,plain,(is_a_theorem(implies(implies(implies(implies(C,D),implies(B,D)),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[151409520,143494376]),[]).
%
% cnf(163909328,plain,(is_a_theorem(implies(implies(C,not(A)),implies(A,implies(C,B))))),inference(resolution,[status(thm)],[157638920,153225664]),[]).
%
% cnf(164302928,plain,(is_a_theorem(implies(A,implies(B,implies(not(A),C))))),inference(resolution,[status(thm)],[157616680,163909328]),[]).
%
% cnf(164736112,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,implies(not(A),C)))),inference(resolution,[status(thm)],[143489488,164302928]),[]).
%
% cnf(151305344,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[143489488,143498400]),[]).
%
% cnf(153240856,plain,(~is_a_theorem(implies(A,implies(not(B),B)))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[151409520,151305344]),[]).
%
% cnf(216252448,plain,(~is_a_theorem(A)|is_a_theorem(implies(B,A))),inference(resolution,[status(thm)],[164736112,153240856]),[]).
%
% cnf(216606992,plain,(is_a_theorem(implies(A,implies(B,C)))|~is_a_theorem(implies(B,implies(not(C),C)))),inference(resolution,[status(thm)],[216252448,153240856]),[]).
%
% cnf(164819664,plain,(is_a_theorem(implies(implies(implies(C,implies(not(A),D)),B),implies(A,B)))),inference(resolution,[status(thm)],[151409520,164302928]),[]).
%
% cnf(188940184,plain,(~is_a_theorem(implies(implies(C,implies(not(A),D)),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[143489488,164819664]),[]).
%
% cnf(163547080,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)],[143489488,153225664]),[]).
%
% cnf(151338784,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[143489488,143502312]),[]).
%
% cnf(157671424,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[151305344,152456496]),[]).
%
% cnf(157839784,plain,(is_a_theorem(implies(not(implies(B,B)),A))),inference(resolution,[status(thm)],[151338784,157671424]),[]).
%
% cnf(157944152,plain,(is_a_theorem(implies(implies(A,B),implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[151409520,157839784]),[]).
%
% cnf(159766232,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[157616680,157944152]),[]).
%
% cnf(159899288,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[151409520,159766232]),[]).
%
% cnf(170766824,plain,(is_a_theorem(implies(A,implies(B,B)))),inference(resolution,[status(thm)],[151305344,159899288]),[]).
%
% cnf(171286440,plain,(is_a_theorem(implies(implies(implies(C,C),B),implies(A,B)))),inference(resolution,[status(thm)],[151409520,170766824]),[]).
%
% cnf(171751480,plain,(~is_a_theorem(implies(implies(C,C),B))|is_a_theorem(implies(A,B))),inference(resolution,[status(thm)],[143489488,171286440]),[]).
%
% cnf(152046800,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[151305344,143494376]),[]).
%
% cnf(172002568,plain,(is_a_theorem(implies(A,implies(implies(not(B),B),B)))),inference(resolution,[status(thm)],[171751480,152046800]),[]).
%
% cnf(172572000,plain,(is_a_theorem(implies(implies(implies(implies(not(C),C),C),B),implies(A,B)))),inference(resolution,[status(thm)],[151409520,172002568]),[]).
%
% cnf(204353184,plain,(is_a_theorem(implies(implies(A,implies(not(B),B)),implies(C,implies(A,B))))),inference(resolution,[status(thm)],[163547080,172572000]),[]).
%
% cnf(338183016,plain,(is_a_theorem(implies(A,implies(C,implies(B,A))))),inference(resolution,[status(thm)],[188940184,204353184]),[]).
%
% cnf(339784776,plain,(is_a_theorem(implies(A,implies(B,implies(C,B))))),inference(resolution,[status(thm)],[216606992,338183016]),[]).
%
% cnf(341624496,plain,(is_a_theorem(implies(A,implies(B,A)))),inference(resolution,[status(thm)],[151285792,339784776]),[]).
%
% cnf(343774040,plain,(is_a_theorem(implies(implies(implies(C,A),B),implies(A,B)))),inference(resolution,[status(thm)],[151409520,341624496]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[143510056,343774040]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------