%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET604+3 : TPTP v3.4.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art08.cs.miami.edu
% Model    : i686 i686
% CPU      : Intel(R) Pentium(R) 4 CPU 2.80GHz @ 2793MHz
% Memory   : 1003MB
% OS       : Linux 2.6.17-1.2142_FC4
% CPULimit : 600s
% DateTime : Wed May  6 15:32:48 EDT 2009

% Result   : Theorem 0.0s
% Output   : Refutation 0.0s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    7 (   5 unt;   0 def)
%            Number of atoms       :   11 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :    9 (   5   ~;   3   |;   1   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :    6 (   1 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(empty_set_subset,plain,
    ! [A] : subset(empty_set,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET604+3.tptp',unknown),
    [] ).

cnf(149770488,plain,
    subset(empty_set,A),
    inference(rewrite,[status(thm)],[empty_set_subset]),
    [] ).

fof(difference_empty_set,plain,
    ! [A,B] :
      ( ( ~ $equal(empty_set,difference(A,B))
        | subset(A,B) )
      & ( $equal(empty_set,difference(A,B))
        | ~ subset(A,B) ) ),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET604+3.tptp',unknown),
    [] ).

cnf(149777200,plain,
    ( $equal(empty_set,difference(A,B))
    | ~ subset(A,B) ),
    inference(rewrite,[status(thm)],[difference_empty_set]),
    [] ).

fof(prove_no_difference_with_empty_set,plain,
    ~ $equal(difference(empty_set,b),empty_set),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET604+3.tptp',unknown),
    [] ).

cnf(149926704,plain,
    ~ $equal(difference(empty_set,b),empty_set),
    inference(rewrite,[status(thm)],[prove_no_difference_with_empty_set]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[149770488,149777200,149926704,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(empty_set_subset,plain,(subset(empty_set,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET604+3.tptp',unknown),[]).
% 
% cnf(149770488,plain,(subset(empty_set,A)),inference(rewrite,[status(thm)],[empty_set_subset]),[]).
% 
% fof(difference_empty_set,plain,(((~$equal(empty_set,difference(A,B))|subset(A,B))&($equal(empty_set,difference(A,B))|~subset(A,B)))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET604+3.tptp',unknown),[]).
% 
% cnf(149777200,plain,($equal(empty_set,difference(A,B))|~subset(A,B)),inference(rewrite,[status(thm)],[difference_empty_set]),[]).
% 
% fof(prove_no_difference_with_empty_set,plain,(~$equal(difference(empty_set,b),empty_set)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET604+3.tptp',unknown),[]).
% 
% cnf(149926704,plain,(~$equal(difference(empty_set,b),empty_set)),inference(rewrite,[status(thm)],[prove_no_difference_with_empty_set]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[149770488,149777200,149926704,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------