%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COL058-3 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art06.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:33:01 EDT 2009
% Result : Unsatisfiable 12.2s
% Output : Refutation 12.2s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 15 ( 15 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(lark_exists,plain,
! [A,B] : $equal(response(response(lark,A),B),response(A,response(B,B))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL058-3.tptp',unknown),
[] ).
cnf(154341464,plain,
$equal(response(response(lark,A),B),response(A,response(B,B))),
inference(rewrite,[status(thm)],[lark_exists]),
[] ).
fof(prove_the_bird_exists,plain,
~ $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL058-3.tptp',unknown),
[] ).
cnf(154347056,plain,
~ $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(rewrite,[status(thm)],[prove_the_bird_exists]),
[] ).
cnf(162150016,plain,
~ $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[154347056,154341464,theory(equality)]),
[] ).
cnf(162567200,plain,
~ $equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[162150016,154341464,theory(equality)]),
[] ).
cnf(165905648,plain,
~ $equal(response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[162567200,154341464,theory(equality)]),
[] ).
cnf(168278392,plain,
~ $equal(response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[165905648,154341464,theory(equality)]),
[] ).
cnf(168415168,plain,
~ $equal(response(response(lark,response(lark,response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[168278392,154341464,theory(equality)]),
[] ).
cnf(173801784,plain,
~ $equal(response(response(lark,response(lark,response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[168415168,154341464,theory(equality)]),
[] ).
cnf(196120552,plain,
~ $equal(response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[173801784,154341464,theory(equality)]),
[] ).
cnf(196193912,plain,
~ $equal(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[196120552,154341464,theory(equality)]),
[] ).
cnf(196308584,plain,
~ $equal(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,lark),lark)),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[196193912,154341464,theory(equality)]),
[] ).
cnf(196512816,plain,
~ $equal(response(response(response(lark,lark),response(lark,response(lark,lark))),response(response(lark,lark),lark)),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[196308584,154341464,theory(equality)]),
[] ).
cnf(196541408,plain,
~ $equal(response(response(response(lark,lark),response(lark,response(lark,lark))),response(response(lark,lark),lark)),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[196512816,154341464,theory(equality)]),
[] ).
cnf(197350016,plain,
~ $equal(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[196541408,154341464,theory(equality)]),
[] ).
cnf(198273704,plain,
~ $equal(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),
inference(paramodulation,[status(thm)],[197350016,154341464,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[154341464,198273704,154341464,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 12 seconds
% START OF PROOF SEQUENCE
% fof(lark_exists,plain,($equal(response(response(lark,A),B),response(A,response(B,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL058-3.tptp',unknown),[]).
%
% cnf(154341464,plain,($equal(response(response(lark,A),B),response(A,response(B,B)))),inference(rewrite,[status(thm)],[lark_exists]),[]).
%
% fof(prove_the_bird_exists,plain,(~$equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL058-3.tptp',unknown),[]).
%
% cnf(154347056,plain,(~$equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(rewrite,[status(thm)],[prove_the_bird_exists]),[]).
%
% cnf(162150016,plain,(~$equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[154347056,154341464,theory(equality)]),[]).
%
% cnf(162567200,plain,(~$equal(response(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[162150016,154341464,theory(equality)]),[]).
%
% cnf(165905648,plain,(~$equal(response(response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[162567200,154341464,theory(equality)]),[]).
%
% cnf(168278392,plain,(~$equal(response(response(lark,response(lark,response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[165905648,154341464,theory(equality)]),[]).
%
% cnf(168415168,plain,(~$equal(response(response(lark,response(lark,response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[168278392,154341464,theory(equality)]),[]).
%
% cnf(173801784,plain,(~$equal(response(response(lark,response(lark,response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[168415168,154341464,theory(equality)]),[]).
%
% cnf(196120552,plain,(~$equal(response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[173801784,154341464,theory(equality)]),[]).
%
% cnf(196193912,plain,(~$equal(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[196120552,154341464,theory(equality)]),[]).
%
% cnf(196308584,plain,(~$equal(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,lark),lark)),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[196193912,154341464,theory(equality)]),[]).
%
% cnf(196512816,plain,(~$equal(response(response(response(lark,lark),response(lark,response(lark,lark))),response(response(lark,lark),lark)),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[196308584,154341464,theory(equality)]),[]).
%
% cnf(196541408,plain,(~$equal(response(response(response(lark,lark),response(lark,response(lark,lark))),response(response(lark,lark),lark)),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[196512816,154341464,theory(equality)]),[]).
%
% cnf(197350016,plain,(~$equal(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[196541408,154341464,theory(equality)]),[]).
%
% cnf(198273704,plain,(~$equal(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),inference(paramodulation,[status(thm)],[197350016,154341464,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[154341464,198273704,154341464,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------