%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : COL058-1 : TPTP v3.4.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.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 11:32:56 EDT 2009

% Result   : Unsatisfiable 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    8 (   8 unt;   0 def)
%            Number of atoms       :    8 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    5 (   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   :    9 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(prove_the_bird_exists,plain,
    ! [A] : ~ $equal(response(A,A),A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL058-1.tptp',unknown),
    [] ).

cnf(145524608,plain,
    ~ $equal(response(A,A),A),
    inference(rewrite,[status(thm)],[prove_the_bird_exists]),
    [] ).

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/COL058-1.tptp',unknown),
    [] ).

cnf(145519856,plain,
    $equal(response(response(lark,A),B),response(A,response(B,B))),
    inference(rewrite,[status(thm)],[lark_exists]),
    [] ).

cnf(153321248,plain,
    ~ $equal(response(response(lark,response(A,A)),A),response(A,A)),
    inference(paramodulation,[status(thm)],[145524608,145519856,theory(equality)]),
    [] ).

cnf(153451024,plain,
    ~ $equal(response(response(response(lark,lark),A),A),response(A,A)),
    inference(paramodulation,[status(thm)],[153321248,145519856,theory(equality)]),
    [] ).

cnf(153872016,plain,
    ~ $equal(response(response(response(lark,response(lark,lark)),A),response(A,A)),response(response(A,A),response(A,A))),
    inference(paramodulation,[status(thm)],[153451024,145519856,theory(equality)]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(equality_resolution,[status(thm)],[153872016]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(prove_the_bird_exists,plain,(~$equal(response(A,A),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL058-1.tptp',unknown),[]).
% 
% cnf(145524608,plain,(~$equal(response(A,A),A)),inference(rewrite,[status(thm)],[prove_the_bird_exists]),[]).
% 
% fof(lark_exists,plain,($equal(response(response(lark,A),B),response(A,response(B,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL058-1.tptp',unknown),[]).
% 
% cnf(145519856,plain,($equal(response(response(lark,A),B),response(A,response(B,B)))),inference(rewrite,[status(thm)],[lark_exists]),[]).
% 
% cnf(153321248,plain,(~$equal(response(response(lark,response(A,A)),A),response(A,A))),inference(paramodulation,[status(thm)],[145524608,145519856,theory(equality)]),[]).
% 
% cnf(153451024,plain,(~$equal(response(response(response(lark,lark),A),A),response(A,A))),inference(paramodulation,[status(thm)],[153321248,145519856,theory(equality)]),[]).
% 
% cnf(153872016,plain,(~$equal(response(response(response(lark,response(lark,lark)),A),response(A,A)),response(response(A,A),response(A,A)))),inference(paramodulation,[status(thm)],[153451024,145519856,theory(equality)]),[]).
% 
% cnf(contradiction,plain,$false,inference(equality_resolution,[status(thm)],[153872016]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------