%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET602+3 : TPTP v3.4.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art09.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 15:32:40 EDT 2009

% Result   : Theorem 0.1s
% Output   : Refutation 0.1s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    8 (   6 unt;   0 def)
%            Number of atoms       :   12 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   10 (   6   ~;   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 (   0 sgn   3   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
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/SET602+3.tptp',unknown),
    [] ).

cnf(154311848,plain,
    ( $equal(empty_set,difference(A,B))
    | ~ subset(A,B) ),
    inference(rewrite,[status(thm)],[difference_empty_set]),
    [] ).

fof(prove_self_difference_is_empty_set,plain,
    ~ $equal(difference(b,b),empty_set),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET602+3.tptp',unknown),
    [] ).

cnf(154465048,plain,
    ~ $equal(difference(b,b),empty_set),
    inference(rewrite,[status(thm)],[prove_self_difference_is_empty_set]),
    [] ).

cnf(162607944,plain,
    ~ subset(b,b),
    inference(paramodulation,[status(thm)],[154311848,154465048,theory(equality)]),
    [] ).

fof(reflexivity_of_subset,plain,
    ! [A] : subset(A,A),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET602+3.tptp',unknown),
    [] ).

cnf(154420240,plain,
    subset(A,A),
    inference(rewrite,[status(thm)],[reflexivity_of_subset]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[162607944,154420240]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% 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/SET602+3.tptp',unknown),[]).
% 
% cnf(154311848,plain,($equal(empty_set,difference(A,B))|~subset(A,B)),inference(rewrite,[status(thm)],[difference_empty_set]),[]).
% 
% fof(prove_self_difference_is_empty_set,plain,(~$equal(difference(b,b),empty_set)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET602+3.tptp',unknown),[]).
% 
% cnf(154465048,plain,(~$equal(difference(b,b),empty_set)),inference(rewrite,[status(thm)],[prove_self_difference_is_empty_set]),[]).
% 
% cnf(162607944,plain,(~subset(b,b)),inference(paramodulation,[status(thm)],[154311848,154465048,theory(equality)]),[]).
% 
% fof(reflexivity_of_subset,plain,(subset(A,A)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET602+3.tptp',unknown),[]).
% 
% cnf(154420240,plain,(subset(A,A)),inference(rewrite,[status(thm)],[reflexivity_of_subset]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[162607944,154420240]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------