## TPTP Problem File: SYN405+1.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : SYN405+1 : TPTP v8.1.0. Released v2.0.0.
% Domain   : Syntactic
% Problem  : Kalish and Montague Problem 239
% Version  : Especial.
% English  : Laws of alphabetic variance.

% Refs     : [KM64]  Kalish & Montegue (1964), Logic: Techniques of Formal
%          : [Hah94] Haehnle (1994), Email to G. Sutcliffe
% Source   : [Hah94]
% Names    : kalish239 [Hah94]

% Status   : Theorem
% Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v2.1.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
%            Number of atoms       :    4 (   0 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :    3 (   0   ~;   0   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    2 (   2 usr;   0 prp; 1-1 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    3 (   1   !;   2   ?)
% SPC      : FOF_THM_EPR_NEQ

% Comments :
%--------------------------------------------------------------------------
fof(kalish239,conjecture,
( ( ! [X] : f(X)
& ? [Y] : g(Y) )
=> ? [Z] :
( f(Z)
& g(Z) ) ) ).

%--------------------------------------------------------------------------
```