%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : LAT039-1 : TPTP v3.4.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.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 13:33:26 EDT 2009

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

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(dist_join,plain,
    ! [A,B,C] : $equal(meet(join(A,B),join(A,C)),join(A,meet(B,C))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT039-1.tptp',unknown),
    [] ).

cnf(173090736,plain,
    $equal(meet(join(A,B),join(A,C)),join(A,meet(B,C))),
    inference(rewrite,[status(thm)],[dist_join]),
    [] ).

fof(rhs,plain,
    ~ $equal(meet(yy,join(xx,zz)),join(xx,meet(yy,zz))),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT039-1.tptp',unknown),
    [] ).

cnf(173107264,plain,
    ~ $equal(meet(yy,join(xx,zz)),join(xx,meet(yy,zz))),
    inference(rewrite,[status(thm)],[rhs]),
    [] ).

fof(lhs,plain,
    $equal(join(xx,yy),yy),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT039-1.tptp',unknown),
    [] ).

cnf(173102528,plain,
    $equal(join(xx,yy),yy),
    inference(rewrite,[status(thm)],[lhs]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[173090736,173107264,173102528,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(dist_join,plain,($equal(meet(join(A,B),join(A,C)),join(A,meet(B,C)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT039-1.tptp',unknown),[]).
% 
% cnf(173090736,plain,($equal(meet(join(A,B),join(A,C)),join(A,meet(B,C)))),inference(rewrite,[status(thm)],[dist_join]),[]).
% 
% fof(rhs,plain,(~$equal(meet(yy,join(xx,zz)),join(xx,meet(yy,zz)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT039-1.tptp',unknown),[]).
% 
% cnf(173107264,plain,(~$equal(meet(yy,join(xx,zz)),join(xx,meet(yy,zz)))),inference(rewrite,[status(thm)],[rhs]),[]).
% 
% fof(lhs,plain,($equal(join(xx,yy),yy)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/LAT/LAT039-1.tptp',unknown),[]).
% 
% cnf(173102528,plain,($equal(join(xx,yy),yy)),inference(rewrite,[status(thm)],[lhs]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[173090736,173107264,173102528,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------