%------------------------------------------------------------------------------
% File     : CSR150^3 : TPTP v8.2.0. Released v5.3.0.
% Domain   : Commonsense Reasoning
% Problem  : Did someone like Bill in 2009?
% Version  : Especial.
% English  : During 2009 Mary liked Bill and Sue liked Bill. Is it the case
%            that someone liked Bill during 2009?

% Refs     : [BP10]  Benzmueller & Pease (2010), Progress in Automating Hig
%          : [Ben11] Benzmueller (2011), Email to Geoff Sutcliffe
% Source   : [Ben11]
% Names    :

% Status   : Theorem
% Rating   : 0.30 v8.2.0, 0.38 v8.1.0, 0.27 v7.5.0, 0.00 v7.4.0, 0.33 v7.2.0, 0.25 v7.1.0, 0.50 v7.0.0, 0.71 v6.4.0, 0.67 v6.3.0, 0.80 v6.2.0, 0.71 v6.1.0, 0.86 v5.5.0, 0.83 v5.4.0, 0.80 v5.3.0
% Syntax   : Number of formulae    : 5014 (1665 unt;1433 typ;   0 def)
%            Number of atoms       : 7537 ( 406 equ; 192 cnn)
%            Maximal formula atoms :   16 (   2 avg)
%            Number of connectives : 16678 ( 192   ~;  77   |;1315   &;14039   @)
%                                         ( 107 <=>; 948  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   26 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  : 1321 (1321   >;   0   *;   0   +;   0  <<)
%            Number of symbols     : 1440 (1436 usr; 994 con; 0-7 aty)
%            Number of variables   : 2579 (   4   ^;2079   !; 496   ?;2579   :)
% SPC      : TH0_THM_EQU_NAR

% Comments :
%------------------------------------------------------------------------------
%----Include SUMO axioms
include('Axioms/CSR005^0.ax').
%------------------------------------------------------------------------------
%----The extracted Signature
thf(grandchild_THFTYPE_IiioI,type,
    grandchild_THFTYPE_IiioI: $i > $i > $o ).

thf(grandparent_THFTYPE_IiioI,type,
    grandparent_THFTYPE_IiioI: $i > $i > $o ).

thf(lJohn_THFTYPE_i,type,
    lJohn_THFTYPE_i: $i ).

%----The translated axioms
thf(ax,axiom,
    ! [X: $i,Y: $i] :
      ( ( grandparent_THFTYPE_IiioI @ X @ Y )
    <=> ? [Z: $i] :
          ( ( parent_THFTYPE_IiioI @ X @ Z )
          & ( parent_THFTYPE_IiioI @ Z @ Y ) ) ) ).

thf(ax_001,axiom,
    ( ltet_THFTYPE_IiioI
    @ ( lCardinalityFn_THFTYPE_IIioIiI
      @ ^ [X: $i] : ( grandparent_THFTYPE_IiioI @ lJohn_THFTYPE_i @ X ) )
    @ n3_THFTYPE_i ) ).

thf(ax_002,axiom,
    ! [X: $i,Y: $i] :
      ( ( grandchild_THFTYPE_IiioI @ X @ Y )
    <=> ? [Z: $i] :
          ( ( parent_THFTYPE_IiioI @ Z @ X )
          & ( parent_THFTYPE_IiioI @ Y @ Z ) ) ) ).

%----The translated conjectures
thf(con,conjecture,
    ? [Y: $i] :
      ( ltet_THFTYPE_IiioI
      @ ( lCardinalityFn_THFTYPE_IIioIiI
        @ ^ [X: $i] : ( grandchild_THFTYPE_IiioI @ X @ lJohn_THFTYPE_i ) )
      @ Y ) ).

%------------------------------------------------------------------------------