%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET605+3 : TPTP v3.4.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : faust %s

% Computer : art10.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 15:32:50 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 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :    8 (   1 sgn   4   !;   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/SET605+3.tptp',unknown),
    [] ).

cnf(143214832,plain,
    ( $equal(empty_set,difference(A,B))
    | ~ subset(A,B) ),
    inference(rewrite,[status(thm)],[difference_empty_set]),
    [] ).

fof(prove_th76,plain,
    ~ $equal(difference(b,union(b,c)),empty_set),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET605+3.tptp',unknown),
    [] ).

cnf(143450176,plain,
    ~ $equal(difference(b,union(b,c)),empty_set),
    inference(rewrite,[status(thm)],[prove_th76]),
    [] ).

cnf(152693984,plain,
    ~ subset(b,union(b,c)),
    inference(paramodulation,[status(thm)],[143214832,143450176,theory(equality)]),
    [] ).

fof(subset_of_union,plain,
    ! [A,B] : subset(A,union(A,B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET605+3.tptp',unknown),
    [] ).

cnf(143208112,plain,
    subset(A,union(A,B)),
    inference(rewrite,[status(thm)],[subset_of_union]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(resolution,[status(thm)],[152693984,143208112]),
    [] ).

%------------------------------------------------------------------------------
%----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/SET605+3.tptp',unknown),[]).
% 
% cnf(143214832,plain,($equal(empty_set,difference(A,B))|~subset(A,B)),inference(rewrite,[status(thm)],[difference_empty_set]),[]).
% 
% fof(prove_th76,plain,(~$equal(difference(b,union(b,c)),empty_set)),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET605+3.tptp',unknown),[]).
% 
% cnf(143450176,plain,(~$equal(difference(b,union(b,c)),empty_set)),inference(rewrite,[status(thm)],[prove_th76]),[]).
% 
% cnf(152693984,plain,(~subset(b,union(b,c))),inference(paramodulation,[status(thm)],[143214832,143450176,theory(equality)]),[]).
% 
% fof(subset_of_union,plain,(subset(A,union(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET605+3.tptp',unknown),[]).
% 
% cnf(143208112,plain,(subset(A,union(A,B))),inference(rewrite,[status(thm)],[subset_of_union]),[]).
% 
% cnf(contradiction,plain,$false,inference(resolution,[status(thm)],[152693984,143208112]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------