%------------------------------------------------------------------------------
% File     : SYO982_1 : TPTP v9.1.0. Released v9.1.0.
% Domain   : Syntactic
% Problem  : FM98 Exercise 7.4.2.2
% Version  : Especial.
% English  :

% Refs     : [FM98] Fitting & Mendelsohn (1998), First-Order Modal Logic
%          : [Joh24] Johns (2024), Email to Geoff Sutcliffe
% Source   : [FM98]
% Names    : 150_2.txt [Joh24]

% Status   : Theorem
% Rating   : ? v9.1.0
% Syntax   : Number of formulae    :    3 (   0 unt;   2 typ;   0 def)
%            Number of atoms       :    7 (   2 equ)
%            Maximal formula atoms :    3 (   7 avg)
%            Number of connectives :    5 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%                                         (   1 {.};   0 {#})
%            Maximal formula depth :    4 (   4 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of FOOLs       :    4 (   4 fml;   0 var)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    4 (   2 usr;   3 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0   !;   0   ?;   0   :)
% SPC      : NX0_THM_EQU_NAR

% Comments :
%------------------------------------------------------------------------------
tff(simple_K,logic,
    $modal == 
      [ $domains == $varying,
        $designation == $rigid,
        $terms == $global,
        $modalities == $modal_system_K ] ).

tff(x_decl,type,
    x: $o ).

tff(y_decl,type,
    y: $o ).

tff(exercise2,conjecture,
    ( ( x != y )
   => ( {$box} @ ( ( x != y ) ) ) ) ).

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