%------------------------------------------------------------------------------
% File : Faust---1.0
% Problem : COL058-2 : TPTP v3.4.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : faust %s
% Computer : art01.cs.miami.edu
% Model : i686 i686
% CPU : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2794MHz
% Memory : 1003MB
% OS : Linux 2.6.11-1.1369_FC4
% CPULimit : 600s
% DateTime : Wed May 6 11:32:58 EDT 2009
% Result : Unsatisfiable 15.0s
% Output : Refutation 15.0s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 0 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 14 ( 14 ~; 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/COL058-2.tptp',unknown),
[] ).
cnf(145826272,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(lark,response(response(lark,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(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL058-2.tptp',unknown),
[] ).
cnf(145830312,plain,
~ $equal(response(response(response(lark,response(response(lark,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(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
inference(rewrite,[status(thm)],[prove_the_bird_exists]),
[] ).
cnf(153660400,plain,
~ $equal(response(response(response(lark,response(response(lark,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(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[145830312,145826272,theory(equality)]),
[] ).
cnf(155003096,plain,
~ $equal(response(response(lark,response(response(lark,response(response(lark,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(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[153660400,145826272,theory(equality)]),
[] ).
cnf(157754960,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(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),
inference(paramodulation,[status(thm)],[155003096,145826272,theory(equality)]),
[] ).
cnf(162708432,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)],[157754960,145826272,theory(equality)]),
[] ).
cnf(167473064,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)],[162708432,145826272,theory(equality)]),
[] ).
cnf(193520024,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)],[167473064,145826272,theory(equality)]),
[] ).
cnf(193595072,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)],[193520024,145826272,theory(equality)]),
[] ).
cnf(193701536,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)],[193595072,145826272,theory(equality)]),
[] ).
cnf(193905784,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)],[193701536,145826272,theory(equality)]),
[] ).
cnf(193934352,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)],[193905784,145826272,theory(equality)]),
[] ).
cnf(194761448,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)],[193934352,145826272,theory(equality)]),
[] ).
cnf(195721376,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)],[194761448,145826272,theory(equality)]),
[] ).
cnf(contradiction,plain,
$false,
inference(forward_subsumption_resolution__paramodulation,[status(thm)],[145826272,195721376,145826272,theory(equality)]),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 15 seconds
% START OF PROOF SEQUENCE
% fof(lark_exists,plain,($equal(response(response(lark,A),B),response(A,response(B,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL058-2.tptp',unknown),[]).
%
% cnf(145826272,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(lark,response(response(lark,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(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL058-2.tptp',unknown),[]).
%
% cnf(145830312,plain,(~$equal(response(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),inference(rewrite,[status(thm)],[prove_the_bird_exists]),[]).
%
% cnf(153660400,plain,(~$equal(response(response(response(lark,response(response(lark,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(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[145830312,145826272,theory(equality)]),[]).
%
% cnf(155003096,plain,(~$equal(response(response(lark,response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark)))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[153660400,145826272,theory(equality)]),[]).
%
% cnf(157754960,plain,(~$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(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[155003096,145826272,theory(equality)]),[]).
%
% cnf(162708432,plain,(~$equal(response(response(lark,response(lark,response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[157754960,145826272,theory(equality)]),[]).
%
% cnf(167473064,plain,(~$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)],[162708432,145826272,theory(equality)]),[]).
%
% cnf(193520024,plain,(~$equal(response(response(lark,response(response(lark,lark),response(response(lark,response(lark,lark)),response(lark,response(lark,lark))))),response(lark,response(lark,lark))),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[167473064,145826272,theory(equality)]),[]).
%
% cnf(193595072,plain,(~$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)],[193520024,145826272,theory(equality)]),[]).
%
% cnf(193701536,plain,(~$equal(response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(response(lark,lark),lark)),response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[193595072,145826272,theory(equality)]),[]).
%
% cnf(193905784,plain,(~$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)],[193701536,145826272,theory(equality)]),[]).
%
% cnf(193934352,plain,(~$equal(response(response(response(lark,lark),response(lark,response(lark,lark))),response(response(lark,lark),lark)),response(response(lark,response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))),response(lark,response(lark,lark))))),inference(paramodulation,[status(thm)],[193905784,145826272,theory(equality)]),[]).
%
% cnf(194761448,plain,(~$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)],[193934352,145826272,theory(equality)]),[]).
%
% cnf(195721376,plain,(~$equal(response(response(response(lark,lark),response(lark,response(lark,lark))),response(lark,response(lark,lark))),response(response(response(lark,response(lark,lark)),response(lark,response(lark,lark))),response(response(lark,response(lark,lark)),response(lark,response(lark,lark)))))),inference(paramodulation,[status(thm)],[194761448,145826272,theory(equality)]),[]).
%
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[145826272,195721376,145826272,theory(equality)]),[]).
%
% END OF PROOF SEQUENCE
%
%------------------------------------------------------------------------------