%------------------------------------------------------------------------------
% File     : SEU765^2 : TPTP v9.0.0. Removed v4.0.0.
% Domain   : Set Theory
% Problem  : Typed Set Theory - First Wizard of Oz Examples - WoZ1 Problems
% Version  : Especial > Reduced > Especial.
% English  : (! A:i.! X:i.in X (powerset A) -> (! Y:i.in Y (powerset A) ->
%            (! Z:i.in Z (powerset A) -> in (binintersect X Y)
%            (powerset (binintersect (binunion X Z) (binunion Y Z))))))

% Refs     : [Bro08] Brown (2008), Email to G. Sutcliffe
% Source   : [Bro08]
% Names    : ZFC267l [Bro08]

% Status   : Theorem
% Rating   : 1.00 v3.7.0
% Syntax   : Number of formulae    :   13 (   4 unit;   8 type;   4 defn)
%            Number of atoms       :  148 (   4 equality;  54 variable)
%            Maximal formula depth :   18 (   7 average)
%            Number of connectives :  101 (   0   ~;   0   |;   0   &;  80   @)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&;   0  !!;   0  ??)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +)
%            Number of symbols     :   10 (   8   :;   0  :=)
%            Number of variables   :   19 (   0 sgn;  19   !;   0   ?;   0   ^)
%                                         (  19   :;   0  :=;   0  !>;   0  ?*)

% Comments : http://mathgate.info/detsetitem.php?id=326
%          : THF0 syntax
% Bugfixes : v4.0.0 - Removed because it's SEU743^2.
%------------------------------------------------------------------------------