%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL010-1 : TPTP v3.4.2. Released v1.0.0.
% 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 13:39:45 EDT 2009
% Result : Unsatisfiable 4.7s
% Output : Refutation 4.7s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 14 unt; 0 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 57 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(condensed_detachment,plain,
! [A,B] :
( ~ is_a_theorem(equivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL010-1.tptp',unknown),
[] ).
cnf(165646240,plain,
( ~ is_a_theorem(equivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(yqf,plain,
! [A,B,C] : is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(C,B)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL010-1.tptp',unknown),
[] ).
cnf(165651096,plain,
is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(C,B)))),
inference(rewrite,[status(thm)],[yqf]),
[] ).
cnf(173435136,plain,
( ~ is_a_theorem(equivalent(A,B))
| is_a_theorem(equivalent(equivalent(A,C),equivalent(C,B))) ),
inference(resolution,[status(thm)],[165646240,165651096]),
[] ).
cnf(173632592,plain,
is_a_theorem(equivalent(equivalent(equivalent(B,C),A),equivalent(A,equivalent(equivalent(B,D),equivalent(D,C))))),
inference(resolution,[status(thm)],[173435136,165651096]),
[] ).
cnf(173454768,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(B,C),equivalent(equivalent(B,D),equivalent(D,C))),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[165646240,165651096]),
[] ).
cnf(175691648,plain,
is_a_theorem(equivalent(equivalent(equivalent(A,D),equivalent(D,B)),equivalent(equivalent(A,C),equivalent(C,B)))),
inference(resolution,[status(thm)],[173632592,173454768]),
[] ).
cnf(178188328,plain,
( ~ is_a_theorem(equivalent(equivalent(A,D),equivalent(D,B)))
| is_a_theorem(equivalent(equivalent(A,C),equivalent(C,B))) ),
inference(resolution,[status(thm)],[165646240,175691648]),
[] ).
cnf(178279112,plain,
is_a_theorem(equivalent(equivalent(equivalent(B,B),A),equivalent(A,equivalent(C,C)))),
inference(resolution,[status(thm)],[178188328,175691648]),
[] ).
cnf(178581592,plain,
is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(B,A)),equivalent(C,C))),
inference(resolution,[status(thm)],[173454768,178279112]),
[] ).
cnf(178815696,plain,
is_a_theorem(equivalent(equivalent(equivalent(B,C),A),equivalent(A,equivalent(C,B)))),
inference(resolution,[status(thm)],[178188328,178581592]),
[] ).
cnf(180290248,plain,
( ~ is_a_theorem(equivalent(equivalent(B,C),A))
| is_a_theorem(equivalent(A,equivalent(C,B))) ),
inference(resolution,[status(thm)],[165646240,178815696]),
[] ).
cnf(178702936,plain,
( ~ is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A)))
| is_a_theorem(equivalent(C,C)) ),
inference(resolution,[status(thm)],[165646240,178581592]),
[] ).
cnf(178793264,plain,
is_a_theorem(equivalent(B,B)),
inference(resolution,[status(thm)],[178702936,178279112]),
[] ).
cnf(178853704,plain,
is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A))),
inference(resolution,[status(thm)],[173435136,178793264]),
[] ).
cnf(178980232,plain,
is_a_theorem(equivalent(equivalent(equivalent(A,C),equivalent(C,B)),equivalent(A,B))),
inference(resolution,[status(thm)],[173454768,178853704]),
[] ).
cnf(182407984,plain,
is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,B),equivalent(A,C)))),
inference(resolution,[status(thm)],[180290248,178980232]),
[] ).
cnf(173592968,plain,
( ~ is_a_theorem(equivalent(A,B))
| ~ is_a_theorem(equivalent(A,C))
| is_a_theorem(equivalent(C,B)) ),
inference(resolution,[status(thm)],[173435136,165646240]),
[] ).
fof(prove_yql,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL010-1.tptp',unknown),
[] ).
cnf(165655312,plain,
~ is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c)))),
inference(rewrite,[status(thm)],[prove_yql]),
[] ).
cnf(173796296,plain,
( ~ is_a_theorem(equivalent(A,equivalent(equivalent(c,b),equivalent(a,c))))
| ~ is_a_theorem(equivalent(A,equivalent(a,b))) ),
inference(resolution,[status(thm)],[173592968,165655312]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[182407984,173796296,178793264]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 4 seconds
% START OF PROOF SEQUENCE
% fof(condensed_detachment,plain,(~is_a_theorem(equivalent(A,B))|~is_a_theorem(A)|is_a_theorem(B)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL010-1.tptp',unknown),[]).
%
% cnf(165646240,plain,(~is_a_theorem(equivalent(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(yqf,plain,(is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(C,B))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL010-1.tptp',unknown),[]).
%
% cnf(165651096,plain,(is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(A,C),equivalent(C,B))))),inference(rewrite,[status(thm)],[yqf]),[]).
%
% cnf(173435136,plain,(~is_a_theorem(equivalent(A,B))|is_a_theorem(equivalent(equivalent(A,C),equivalent(C,B)))),inference(resolution,[status(thm)],[165646240,165651096]),[]).
%
% cnf(173632592,plain,(is_a_theorem(equivalent(equivalent(equivalent(B,C),A),equivalent(A,equivalent(equivalent(B,D),equivalent(D,C)))))),inference(resolution,[status(thm)],[173435136,165651096]),[]).
%
% cnf(173454768,plain,(~is_a_theorem(equivalent(equivalent(equivalent(B,C),equivalent(equivalent(B,D),equivalent(D,C))),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[165646240,165651096]),[]).
%
% cnf(175691648,plain,(is_a_theorem(equivalent(equivalent(equivalent(A,D),equivalent(D,B)),equivalent(equivalent(A,C),equivalent(C,B))))),inference(resolution,[status(thm)],[173632592,173454768]),[]).
%
% cnf(178188328,plain,(~is_a_theorem(equivalent(equivalent(A,D),equivalent(D,B)))|is_a_theorem(equivalent(equivalent(A,C),equivalent(C,B)))),inference(resolution,[status(thm)],[165646240,175691648]),[]).
%
% cnf(178279112,plain,(is_a_theorem(equivalent(equivalent(equivalent(B,B),A),equivalent(A,equivalent(C,C))))),inference(resolution,[status(thm)],[178188328,175691648]),[]).
%
% cnf(178581592,plain,(is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(B,A)),equivalent(C,C)))),inference(resolution,[status(thm)],[173454768,178279112]),[]).
%
% cnf(178815696,plain,(is_a_theorem(equivalent(equivalent(equivalent(B,C),A),equivalent(A,equivalent(C,B))))),inference(resolution,[status(thm)],[178188328,178581592]),[]).
%
% cnf(180290248,plain,(~is_a_theorem(equivalent(equivalent(B,C),A))|is_a_theorem(equivalent(A,equivalent(C,B)))),inference(resolution,[status(thm)],[165646240,178815696]),[]).
%
% cnf(178702936,plain,(~is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A)))|is_a_theorem(equivalent(C,C))),inference(resolution,[status(thm)],[165646240,178581592]),[]).
%
% cnf(178793264,plain,(is_a_theorem(equivalent(B,B))),inference(resolution,[status(thm)],[178702936,178279112]),[]).
%
% cnf(178853704,plain,(is_a_theorem(equivalent(equivalent(A,B),equivalent(B,A)))),inference(resolution,[status(thm)],[173435136,178793264]),[]).
%
% cnf(178980232,plain,(is_a_theorem(equivalent(equivalent(equivalent(A,C),equivalent(C,B)),equivalent(A,B)))),inference(resolution,[status(thm)],[173454768,178853704]),[]).
%
% cnf(182407984,plain,(is_a_theorem(equivalent(equivalent(A,B),equivalent(equivalent(C,B),equivalent(A,C))))),inference(resolution,[status(thm)],[180290248,178980232]),[]).
%
% cnf(173592968,plain,(~is_a_theorem(equivalent(A,B))|~is_a_theorem(equivalent(A,C))|is_a_theorem(equivalent(C,B))),inference(resolution,[status(thm)],[173435136,165646240]),[]).
%
% fof(prove_yql,plain,(~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL010-1.tptp',unknown),[]).
%
% cnf(165655312,plain,(~is_a_theorem(equivalent(equivalent(a,b),equivalent(equivalent(c,b),equivalent(a,c))))),inference(rewrite,[status(thm)],[prove_yql]),[]).
%
% cnf(173796296,plain,(~is_a_theorem(equivalent(A,equivalent(equivalent(c,b),equivalent(a,c))))|~is_a_theorem(equivalent(A,equivalent(a,b)))),inference(resolution,[status(thm)],[173592968,165655312]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[182407984,173796296,178793264]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------