%------------------------------------------------------------------------------
% File     : Faust---1.0
% Problem  : SET599+3 : TPTP v3.4.2. Released v2.2.0.
% 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 15:32:32 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 (   7 unt;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    8 (   1 sgn   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Faust---1.0 format not known, defaulting to TPTP
fof(subset_of_union,plain,
    ! [A,B] : subset(A,union(A,B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET599+3.tptp',unknown),
    [] ).

cnf(154556264,plain,
    subset(A,union(A,B)),
    inference(rewrite,[status(thm)],[subset_of_union]),
    [] ).

fof(prove_th58,plain,
    ~ subset(difference(b,c),symmetric_difference(b,c)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET599+3.tptp',unknown),
    [] ).

cnf(154721208,plain,
    ~ subset(difference(b,c),symmetric_difference(b,c)),
    inference(rewrite,[status(thm)],[prove_th58]),
    [] ).

fof(symmetric_difference_defn,plain,
    ! [A,B] : $equal(union(difference(A,B),difference(B,A)),symmetric_difference(A,B)),
    file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET599+3.tptp',unknown),
    [] ).

cnf(154551336,plain,
    $equal(union(difference(A,B),difference(B,A)),symmetric_difference(A,B)),
    inference(rewrite,[status(thm)],[symmetric_difference_defn]),
    [] ).

cnf(contradiction,plain,
    $false,
    inference(forward_subsumption_resolution__paramodulation,[status(thm)],[154556264,154721208,154551336,theory(equality)]),
    [] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% Proof found in: 0 seconds
% START OF PROOF SEQUENCE
% fof(subset_of_union,plain,(subset(A,union(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET599+3.tptp',unknown),[]).
% 
% cnf(154556264,plain,(subset(A,union(A,B))),inference(rewrite,[status(thm)],[subset_of_union]),[]).
% 
% fof(prove_th58,plain,(~subset(difference(b,c),symmetric_difference(b,c))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET599+3.tptp',unknown),[]).
% 
% cnf(154721208,plain,(~subset(difference(b,c),symmetric_difference(b,c))),inference(rewrite,[status(thm)],[prove_th58]),[]).
% 
% fof(symmetric_difference_defn,plain,($equal(union(difference(A,B),difference(B,A)),symmetric_difference(A,B))),file('/home/graph/tptp/TSTP/PreparedTPTP/tptp---none/SET/SET599+3.tptp',unknown),[]).
% 
% cnf(154551336,plain,($equal(union(difference(A,B),difference(B,A)),symmetric_difference(A,B))),inference(rewrite,[status(thm)],[symmetric_difference_defn]),[]).
% 
% cnf(contradiction,plain,$false,inference(forward_subsumption_resolution__paramodulation,[status(thm)],[154556264,154721208,154551336,theory(equality)]),[]).
% 
% END OF PROOF SEQUENCE
% faust: ../JJParser/Signature.c:39: void FreeSignatureList(SymbolNodeType**): Assertion `(*Symbols)->NumberOfUses == 0' failed.
% 
%------------------------------------------------------------------------------