%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SEU115+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 15:46:01 EDT 2009

% Result   : Theorem 0.4s
% Output   : Refutation 0.4s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   12 (   8 unt;   0 def)
%            Number of atoms       :   16 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   6   ~;   4   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   1 con; 0-1 aty)
%            Number of variables   :    4 (   0 sgn   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(t1_zfmisc_1,plain,
    $equal(singleton(empty_set),powerset(empty_set)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU115+1.tptp',unknown),
    [] ).

cnf(170294216,plain,
    $equal(singleton(empty_set),powerset(empty_set)),
    inference(rewrite,[status(thm)],[t1_zfmisc_1]),
    [] ).

fof(cc1_finset_1,plain,
    ! [A] :
      ( ~ empty(A)
      | finite(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU115+1.tptp',unknown),
    [] ).

cnf(169846936,plain,
    ( ~ empty(A)
    | finite(A) ),
    inference(rewrite,[status(thm)],[cc1_finset_1]),
    [] ).

fof(fc1_xboole_0,plain,
    empty(empty_set),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU115+1.tptp',unknown),
    [] ).

cnf(170247616,plain,
    empty(empty_set),
    inference(rewrite,[status(thm)],[fc1_xboole_0]),
    [] ).

cnf(178305648,plain,
    finite(empty_set),
    inference(resolution,[status(thm)],[169846936,170247616]),
    [] ).

fof(t27_finsub_1,plain,
    ! [A] :
      ( ~ finite(A)
      | $equal(powerset(A),finite_subsets(A)) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU115+1.tptp',unknown),
    [] ).

cnf(170288552,plain,
    ( ~ finite(A)
    | $equal(powerset(A),finite_subsets(A)) ),
    inference(rewrite,[status(thm)],[t27_finsub_1]),
    [] ).

fof(t28_finsub_1,plain,
    ~ $equal(singleton(empty_set),finite_subsets(empty_set)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU115+1.tptp',unknown),
    [] ).

cnf(170278488,plain,
    ~ $equal(singleton(empty_set),finite_subsets(empty_set)),
    inference(rewrite,[status(thm)],[t28_finsub_1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[170294216,178305648,170288552,170278488,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(t1_zfmisc_1,plain,($equal(singleton(empty_set),powerset(empty_set))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU115+1.tptp',unknown),[]).
% 
% cnf(170294216,plain,($equal(singleton(empty_set),powerset(empty_set))),inference(rewrite,[status(thm)],[t1_zfmisc_1]),[]).
% 
% fof(cc1_finset_1,plain,(~empty(A)|finite(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU115+1.tptp',unknown),[]).
% 
% cnf(169846936,plain,(~empty(A)|finite(A)),inference(rewrite,[status(thm)],[cc1_finset_1]),[]).
% 
% fof(fc1_xboole_0,plain,(empty(empty_set)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU115+1.tptp',unknown),[]).
% 
% cnf(170247616,plain,(empty(empty_set)),inference(rewrite,[status(thm)],[fc1_xboole_0]),[]).
% 
% cnf(178305648,plain,(finite(empty_set)),inference(resolution,[status(thm)],[169846936,170247616]),[]).
% 
% fof(t27_finsub_1,plain,(~finite(A)|$equal(powerset(A),finite_subsets(A))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU115+1.tptp',unknown),[]).
% 
% cnf(170288552,plain,(~finite(A)|$equal(powerset(A),finite_subsets(A))),inference(rewrite,[status(thm)],[t27_finsub_1]),[]).
% 
% fof(t28_finsub_1,plain,(~$equal(singleton(empty_set),finite_subsets(empty_set))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SEU/SEU115+1.tptp',unknown),[]).
% 
% cnf(170278488,plain,(~$equal(singleton(empty_set),finite_subsets(empty_set))),inference(rewrite,[status(thm)],[t28_finsub_1]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[170294216,178305648,170288552,170278488,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------