%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SEU085+1 : TPTP v3.4.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art06.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 15:45:09 EDT 2009

% Result   : Theorem 0.3s
% Output   : Refutation 0.3s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    6 (   3 unt;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    7 (   4   ~;   2   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    4 (   1 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t16_finset_1,plain,
    ( finite(a)
    & ~ finite(set_difference(a,b)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU085+1.tptp',unknown),
    [] ).

cnf(145716800,plain,
    finite(a),
    inference(rewrite,[status(thm)],[t16_finset_1]),
    [] ).

fof(fc12_finset_1,plain,
    ! [A,B] :
      ( ~ finite(A)
      | finite(set_difference(A,B)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU085+1.tptp',unknown),
    [] ).

cnf(144745272,plain,
    ( ~ finite(A)
    | finite(set_difference(A,B)) ),
    inference(rewrite,[status(thm)],[fc12_finset_1]),
    [] ).

cnf(145708288,plain,
    ~ finite(set_difference(a,b)),
    inference(rewrite,[status(thm)],[t16_finset_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[145716800,144745272,145708288]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 1 seconds
% START OF PROOF SEQUENCE
% fof(t16_finset_1,plain,((finite(a)&~finite(set_difference(a,b)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU085+1.tptp',unknown),[]).
% 
% cnf(145716800,plain,(finite(a)),inference(rewrite,[status(thm)],[t16_finset_1]),[]).
% 
% fof(fc12_finset_1,plain,(~finite(A)|finite(set_difference(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU085+1.tptp',unknown),[]).
% 
% cnf(144745272,plain,(~finite(A)|finite(set_difference(A,B))),inference(rewrite,[status(thm)],[fc12_finset_1]),[]).
% 
% cnf(145708288,plain,(~finite(set_difference(a,b))),inference(rewrite,[status(thm)],[t16_finset_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[145716800,144745272,145708288]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------