%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL363-1 : 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 13:48:33 EDT 2009
% Result : Unsatisfiable 1.1s
% Output : Refutation 1.1s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 28 ( 19 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 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 : 61 ( 13 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_cn_12,plain,
~ is_a_theorem(implies(x,implies(implies(not(y),y),y))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL363-1.tptp',unknown),
[] ).
cnf(152590136,plain,
~ is_a_theorem(implies(x,implies(implies(not(y),y),y))),
inference(rewrite,[status(thm)],[prove_cn_12]),
[] ).
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/LCL363-1.tptp',unknown),
[] ).
cnf(152569448,plain,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(cn_2,plain,
! [A] : is_a_theorem(implies(implies(not(A),A),A)),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL363-1.tptp',unknown),
[] ).
cnf(152578296,plain,
is_a_theorem(implies(implies(not(A),A),A)),
inference(rewrite,[status(thm)],[cn_2]),
[] ).
cnf(160380456,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),B),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[152569448,152578296]),
[] ).
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/LCL363-1.tptp',unknown),
[] ).
cnf(152574304,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(rewrite,[status(thm)],[cn_1]),
[] ).
cnf(160463816,plain,
is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B))),
inference(resolution,[status(thm)],[160380456,152574304]),
[] ).
cnf(161305832,plain,
( ~ is_a_theorem(implies(implies(implies(A,B),implies(implies(not(A),A),B)),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[160463816,152569448]),
[] ).
cnf(160689088,plain,
( ~ is_a_theorem(implies(A,B))
| is_a_theorem(implies(implies(B,C),implies(A,C))) ),
inference(resolution,[status(thm)],[152569448,152574304]),
[] ).
cnf(163205120,plain,
is_a_theorem(implies(implies(implies(implies(not(B),B),C),A),implies(implies(B,C),A))),
inference(resolution,[status(thm)],[160689088,160463816]),
[] ).
cnf(174894720,plain,
( ~ is_a_theorem(implies(implies(implies(not(B),B),C),A))
| is_a_theorem(implies(implies(B,C),A)) ),
inference(resolution,[status(thm)],[152569448,163205120]),
[] ).
fof(cn_3,plain,
! [A,B] : is_a_theorem(implies(A,implies(not(A),B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL363-1.tptp',unknown),
[] ).
cnf(152582272,plain,
is_a_theorem(implies(A,implies(not(A),B))),
inference(rewrite,[status(thm)],[cn_3]),
[] ).
cnf(160637544,plain,
( ~ is_a_theorem(implies(implies(B,implies(not(B),C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[152569448,152582272]),
[] ).
cnf(161826632,plain,
is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C))),
inference(resolution,[status(thm)],[160637544,152574304]),
[] ).
cnf(164136416,plain,
( ~ is_a_theorem(implies(implies(not(A),B),C))
| is_a_theorem(implies(A,C)) ),
inference(resolution,[status(thm)],[161826632,152569448]),
[] ).
cnf(164203968,plain,
is_a_theorem(implies(A,A)),
inference(resolution,[status(thm)],[161826632,160380456]),
[] ).
cnf(160618312,plain,
( ~ is_a_theorem(A)
| is_a_theorem(implies(not(A),B)) ),
inference(resolution,[status(thm)],[152569448,152582272]),
[] ).
cnf(164420720,plain,
is_a_theorem(implies(not(implies(A,A)),B)),
inference(resolution,[status(thm)],[164203968,160618312]),
[] ).
cnf(164779496,plain,
is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C))),
inference(resolution,[status(thm)],[164420720,160689088]),
[] ).
cnf(171492752,plain,
is_a_theorem(implies(A,implies(not(implies(C,C)),B))),
inference(resolution,[status(thm)],[164136416,164779496]),
[] ).
cnf(171590816,plain,
is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B))),
inference(resolution,[status(thm)],[160689088,171492752]),
[] ).
cnf(178563248,plain,
is_a_theorem(implies(implies(implies(C,C),A),implies(B,A))),
inference(resolution,[status(thm)],[174894720,171590816]),
[] ).
cnf(180164088,plain,
is_a_theorem(implies(B,implies(implies(not(A),A),A))),
inference(resolution,[status(thm)],[161305832,178563248]),
[] ).
cnf(contradiction,plain,
$false,
inference(resolution,[status(thm)],[152590136,180164088]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(prove_cn_12,plain,(~is_a_theorem(implies(x,implies(implies(not(y),y),y)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL363-1.tptp',unknown),[]).
%
% cnf(152590136,plain,(~is_a_theorem(implies(x,implies(implies(not(y),y),y)))),inference(rewrite,[status(thm)],[prove_cn_12]),[]).
%
% 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/LCL363-1.tptp',unknown),[]).
%
% cnf(152569448,plain,(~is_a_theorem(implies(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(cn_2,plain,(is_a_theorem(implies(implies(not(A),A),A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL363-1.tptp',unknown),[]).
%
% cnf(152578296,plain,(is_a_theorem(implies(implies(not(A),A),A))),inference(rewrite,[status(thm)],[cn_2]),[]).
%
% cnf(160380456,plain,(~is_a_theorem(implies(implies(implies(not(B),B),B),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[152569448,152578296]),[]).
%
% 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/LCL363-1.tptp',unknown),[]).
%
% cnf(152574304,plain,(is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C))))),inference(rewrite,[status(thm)],[cn_1]),[]).
%
% cnf(160463816,plain,(is_a_theorem(implies(implies(A,B),implies(implies(not(A),A),B)))),inference(resolution,[status(thm)],[160380456,152574304]),[]).
%
% cnf(161305832,plain,(~is_a_theorem(implies(implies(implies(A,B),implies(implies(not(A),A),B)),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[160463816,152569448]),[]).
%
% cnf(160689088,plain,(~is_a_theorem(implies(A,B))|is_a_theorem(implies(implies(B,C),implies(A,C)))),inference(resolution,[status(thm)],[152569448,152574304]),[]).
%
% cnf(163205120,plain,(is_a_theorem(implies(implies(implies(implies(not(B),B),C),A),implies(implies(B,C),A)))),inference(resolution,[status(thm)],[160689088,160463816]),[]).
%
% cnf(174894720,plain,(~is_a_theorem(implies(implies(implies(not(B),B),C),A))|is_a_theorem(implies(implies(B,C),A))),inference(resolution,[status(thm)],[152569448,163205120]),[]).
%
% fof(cn_3,plain,(is_a_theorem(implies(A,implies(not(A),B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL363-1.tptp',unknown),[]).
%
% cnf(152582272,plain,(is_a_theorem(implies(A,implies(not(A),B)))),inference(rewrite,[status(thm)],[cn_3]),[]).
%
% cnf(160637544,plain,(~is_a_theorem(implies(implies(B,implies(not(B),C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[152569448,152582272]),[]).
%
% cnf(161826632,plain,(is_a_theorem(implies(implies(implies(not(A),B),C),implies(A,C)))),inference(resolution,[status(thm)],[160637544,152574304]),[]).
%
% cnf(164136416,plain,(~is_a_theorem(implies(implies(not(A),B),C))|is_a_theorem(implies(A,C))),inference(resolution,[status(thm)],[161826632,152569448]),[]).
%
% cnf(164203968,plain,(is_a_theorem(implies(A,A))),inference(resolution,[status(thm)],[161826632,160380456]),[]).
%
% cnf(160618312,plain,(~is_a_theorem(A)|is_a_theorem(implies(not(A),B))),inference(resolution,[status(thm)],[152569448,152582272]),[]).
%
% cnf(164420720,plain,(is_a_theorem(implies(not(implies(A,A)),B))),inference(resolution,[status(thm)],[164203968,160618312]),[]).
%
% cnf(164779496,plain,(is_a_theorem(implies(implies(B,C),implies(not(implies(A,A)),C)))),inference(resolution,[status(thm)],[164420720,160689088]),[]).
%
% cnf(171492752,plain,(is_a_theorem(implies(A,implies(not(implies(C,C)),B)))),inference(resolution,[status(thm)],[164136416,164779496]),[]).
%
% cnf(171590816,plain,(is_a_theorem(implies(implies(implies(not(implies(D,D)),C),B),implies(A,B)))),inference(resolution,[status(thm)],[160689088,171492752]),[]).
%
% cnf(178563248,plain,(is_a_theorem(implies(implies(implies(C,C),A),implies(B,A)))),inference(resolution,[status(thm)],[174894720,171590816]),[]).
%
% cnf(180164088,plain,(is_a_theorem(implies(B,implies(implies(not(A),A),A)))),inference(resolution,[status(thm)],[161305832,178563248]),[]).
%
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[152590136,180164088]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------