%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : LCL120-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art09.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 13:43:04 EDT 2009
% Result : Unsatisfiable 1.9s
% Output : Refutation 1.9s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 12 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 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; 3 con; 0-2 aty)
% Number of variables : 46 ( 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/LCL120-1.tptp',unknown),
[] ).
cnf(151114432,plain,
( ~ is_a_theorem(equivalent(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
inference(rewrite,[status(thm)],[condensed_detachment]),
[] ).
fof(qyf,plain,
! [A,B,C] : is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(C,B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL120-1.tptp',unknown),
[] ).
cnf(151119288,plain,
is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(C,B))),
inference(rewrite,[status(thm)],[qyf]),
[] ).
cnf(158918168,plain,
( ~ is_a_theorem(equivalent(equivalent(equivalent(equivalent(B,C),equivalent(B,D)),equivalent(D,C)),A))
| is_a_theorem(A) ),
inference(resolution,[status(thm)],[151114432,151119288]),
[] ).
cnf(158898568,plain,
( ~ is_a_theorem(equivalent(equivalent(A,B),equivalent(A,C)))
| is_a_theorem(equivalent(C,B)) ),
inference(resolution,[status(thm)],[151114432,151119288]),
[] ).
cnf(159126632,plain,
is_a_theorem(equivalent(A,equivalent(B,equivalent(B,A)))),
inference(resolution,[status(thm)],[158898568,151119288]),
[] ).
cnf(159186224,plain,
( ~ is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(B,A))),C))
| is_a_theorem(C) ),
inference(resolution,[status(thm)],[159126632,151114432]),
[] ).
cnf(159201200,plain,
is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B)),
inference(resolution,[status(thm)],[159126632,158898568]),
[] ).
cnf(159211440,plain,
( ~ is_a_theorem(equivalent(A,equivalent(A,B)))
| is_a_theorem(B) ),
inference(resolution,[status(thm)],[159201200,151114432]),
[] ).
cnf(159418344,plain,
is_a_theorem(equivalent(A,A)),
inference(resolution,[status(thm)],[159211440,159126632]),
[] ).
cnf(159512608,plain,
( ~ is_a_theorem(equivalent(equivalent(A,A),B))
| is_a_theorem(B) ),
inference(resolution,[status(thm)],[159418344,151114432]),
[] ).
cnf(159166920,plain,
( ~ is_a_theorem(A)
| is_a_theorem(equivalent(B,equivalent(B,A))) ),
inference(resolution,[status(thm)],[159126632,151114432]),
[] ).
cnf(159658832,plain,
( is_a_theorem(equivalent(equivalent(A,A),B))
| ~ is_a_theorem(B) ),
inference(resolution,[status(thm)],[159512608,159166920]),
[] ).
cnf(160326224,plain,
( ~ is_a_theorem(equivalent(A,B))
| is_a_theorem(equivalent(B,A)) ),
inference(resolution,[status(thm)],[159658832,158898568]),
[] ).
cnf(160420512,plain,
is_a_theorem(equivalent(equivalent(C,B),equivalent(equivalent(A,B),equivalent(A,C)))),
inference(resolution,[status(thm)],[160326224,151119288]),
[] ).
cnf(167870376,plain,
is_a_theorem(equivalent(equivalent(C,equivalent(B,equivalent(B,A))),equivalent(C,A))),
inference(resolution,[status(thm)],[159186224,160420512]),
[] ).
cnf(168436672,plain,
is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,B)),C)),
inference(resolution,[status(thm)],[158918168,167870376]),
[] ).
fof(prove_xgj,plain,
~ is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL120-1.tptp',unknown),
[] ).
cnf(151123504,plain,
~ is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))),
inference(rewrite,[status(thm)],[prove_xgj]),
[] ).
cnf(158937576,plain,
( ~ is_a_theorem(equivalent(A,equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))
| ~ is_a_theorem(A) ),
inference(resolution,[status(thm)],[151114432,151123504]),
[] ).
cnf(158965232,plain,
~ is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(A,a))),
inference(resolution,[status(thm)],[158937576,151119288]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__resolution,[status(thm)],[168436672,158965232,159658832]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 2 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/LCL120-1.tptp',unknown),[]).
%
% cnf(151114432,plain,(~is_a_theorem(equivalent(A,B))|~is_a_theorem(A)|is_a_theorem(B)),inference(rewrite,[status(thm)],[condensed_detachment]),[]).
%
% fof(qyf,plain,(is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(C,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL120-1.tptp',unknown),[]).
%
% cnf(151119288,plain,(is_a_theorem(equivalent(equivalent(equivalent(A,B),equivalent(A,C)),equivalent(C,B)))),inference(rewrite,[status(thm)],[qyf]),[]).
%
% cnf(158918168,plain,(~is_a_theorem(equivalent(equivalent(equivalent(equivalent(B,C),equivalent(B,D)),equivalent(D,C)),A))|is_a_theorem(A)),inference(resolution,[status(thm)],[151114432,151119288]),[]).
%
% cnf(158898568,plain,(~is_a_theorem(equivalent(equivalent(A,B),equivalent(A,C)))|is_a_theorem(equivalent(C,B))),inference(resolution,[status(thm)],[151114432,151119288]),[]).
%
% cnf(159126632,plain,(is_a_theorem(equivalent(A,equivalent(B,equivalent(B,A))))),inference(resolution,[status(thm)],[158898568,151119288]),[]).
%
% cnf(159186224,plain,(~is_a_theorem(equivalent(equivalent(A,equivalent(B,equivalent(B,A))),C))|is_a_theorem(C)),inference(resolution,[status(thm)],[159126632,151114432]),[]).
%
% cnf(159201200,plain,(is_a_theorem(equivalent(equivalent(A,equivalent(A,B)),B))),inference(resolution,[status(thm)],[159126632,158898568]),[]).
%
% cnf(159211440,plain,(~is_a_theorem(equivalent(A,equivalent(A,B)))|is_a_theorem(B)),inference(resolution,[status(thm)],[159201200,151114432]),[]).
%
% cnf(159418344,plain,(is_a_theorem(equivalent(A,A))),inference(resolution,[status(thm)],[159211440,159126632]),[]).
%
% cnf(159512608,plain,(~is_a_theorem(equivalent(equivalent(A,A),B))|is_a_theorem(B)),inference(resolution,[status(thm)],[159418344,151114432]),[]).
%
% cnf(159166920,plain,(~is_a_theorem(A)|is_a_theorem(equivalent(B,equivalent(B,A)))),inference(resolution,[status(thm)],[159126632,151114432]),[]).
%
% cnf(159658832,plain,(is_a_theorem(equivalent(equivalent(A,A),B))|~is_a_theorem(B)),inference(resolution,[status(thm)],[159512608,159166920]),[]).
%
% cnf(160326224,plain,(~is_a_theorem(equivalent(A,B))|is_a_theorem(equivalent(B,A))),inference(resolution,[status(thm)],[159658832,158898568]),[]).
%
% cnf(160420512,plain,(is_a_theorem(equivalent(equivalent(C,B),equivalent(equivalent(A,B),equivalent(A,C))))),inference(resolution,[status(thm)],[160326224,151119288]),[]).
%
% cnf(167870376,plain,(is_a_theorem(equivalent(equivalent(C,equivalent(B,equivalent(B,A))),equivalent(C,A)))),inference(resolution,[status(thm)],[159186224,160420512]),[]).
%
% cnf(168436672,plain,(is_a_theorem(equivalent(equivalent(equivalent(A,equivalent(B,C)),equivalent(A,B)),C))),inference(resolution,[status(thm)],[158918168,167870376]),[]).
%
% fof(prove_xgj,plain,(~is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LCL/LCL120-1.tptp',unknown),[]).
%
% cnf(151123504,plain,(~is_a_theorem(equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))))),inference(rewrite,[status(thm)],[prove_xgj]),[]).
%
% cnf(158937576,plain,(~is_a_theorem(equivalent(A,equivalent(a,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c)))))|~is_a_theorem(A)),inference(resolution,[status(thm)],[151114432,151123504]),[]).
%
% cnf(158965232,plain,(~is_a_theorem(equivalent(equivalent(A,equivalent(equivalent(b,equivalent(c,a)),equivalent(b,c))),equivalent(A,a)))),inference(resolution,[status(thm)],[158937576,151119288]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[168436672,158965232,159658832]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------