%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : COL055-1 : 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 11:32:51 EDT 2009

% Result   : Unsatisfiable 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    5 (   3 unt;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    6 (   4   ~;   2   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(fond_bird_exists,plain,
    $equal(response(a,b),b),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL055-1.tptp',unknown),
    [] ).

cnf(168736728,plain,
    $equal(response(a,b),b),
    inference(rewrite,[status(thm)],[fond_bird_exists]),
    [] ).

fof(prove_happiness,plain,
    ! [A,B] :
      ( ~ $equal(response(a,A),B)
      | ~ $equal(response(a,B),A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL055-1.tptp',unknown),
    [] ).

cnf(168743192,plain,
    ( ~ $equal(response(a,A),B)
    | ~ $equal(response(a,B),A) ),
    inference(rewrite,[status(thm)],[prove_happiness]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[168736728,168743192,168736728]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(fond_bird_exists,plain,($equal(response(a,b),b)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL055-1.tptp',unknown),[]).
% 
% cnf(168736728,plain,($equal(response(a,b),b)),inference(rewrite,[status(thm)],[fond_bird_exists]),[]).
% 
% fof(prove_happiness,plain,(~$equal(response(a,A),B)|~$equal(response(a,B),A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/COL/COL055-1.tptp',unknown),[]).
% 
% cnf(168743192,plain,(~$equal(response(a,A),B)|~$equal(response(a,B),A)),inference(rewrite,[status(thm)],[prove_happiness]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[168736728,168743192,168736728]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------