%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : NUM395+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 15:03:40 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   5 unt;   0 def)
%            Number of atoms       :   13 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   11 (   6   ~;   4   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-1 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    2 (   0 sgn   1   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(l18_ordinal1,plain,
    ( epsilon_transitive(empty_set)
    & epsilon_connected(empty_set) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM395+1.tptp',unknown),
    [] ).

cnf(166132984,plain,
    epsilon_connected(empty_set),
    inference(rewrite,[status(thm)],[l18_ordinal1]),
    [] ).

cnf(165754040,plain,
    epsilon_transitive(empty_set),
    inference(rewrite,[status(thm)],[l18_ordinal1]),
    [] ).

fof(cc2_ordinal1,plain,
    ! [A] :
      ( ~ epsilon_transitive(A)
      | ~ epsilon_connected(A)
      | ordinal(A) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM395+1.tptp',unknown),
    [] ).

cnf(165857120,plain,
    ( ~ epsilon_transitive(A)
    | ~ epsilon_connected(A)
    | ordinal(A) ),
    inference(rewrite,[status(thm)],[cc2_ordinal1]),
    [] ).

fof(t27_ordinal1,plain,
    ~ ordinal(empty_set),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM395+1.tptp',unknown),
    [] ).

cnf(166125160,plain,
    ~ ordinal(empty_set),
    inference(rewrite,[status(thm)],[t27_ordinal1]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__resolution,[status(thm)],[166132984,165754040,165857120,166125160]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(l18_ordinal1,plain,((epsilon_transitive(empty_set)&epsilon_connected(empty_set))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM395+1.tptp',unknown),[]).
% 
% cnf(166132984,plain,(epsilon_connected(empty_set)),inference(rewrite,[status(thm)],[l18_ordinal1]),[]).
% 
% cnf(165754040,plain,(epsilon_transitive(empty_set)),inference(rewrite,[status(thm)],[l18_ordinal1]),[]).
% 
% fof(cc2_ordinal1,plain,(~epsilon_transitive(A)|~epsilon_connected(A)|ordinal(A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM395+1.tptp',unknown),[]).
% 
% cnf(165857120,plain,(~epsilon_transitive(A)|~epsilon_connected(A)|ordinal(A)),inference(rewrite,[status(thm)],[cc2_ordinal1]),[]).
% 
% fof(t27_ordinal1,plain,(~ordinal(empty_set)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/NUM/NUM395+1.tptp',unknown),[]).
% 
% cnf(166125160,plain,(~ordinal(empty_set)),inference(rewrite,[status(thm)],[t27_ordinal1]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__resolution,[status(thm)],[166132984,165754040,165857120,166125160]),[]).
% 
% END OF PROOF SEQUENCE
% 
%------------------------------------------------------------------------------