## TPTP Problem File: SYN406+1.p

View Solutions - Solve Problem

```%--------------------------------------------------------------------------
% File     : SYN406+1 : TPTP v8.1.0. Released v2.0.0.
% Domain   : Syntactic
% Problem  : Kalish and Montague Problem 240
% 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    : kalish240 [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       :    6 (   0 equ)
%            Maximal formula atoms :    6 (   6 avg)
%            Number of connectives :    5 (   0   ~;   0   |;   3   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   3 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

%--------------------------------------------------------------------------
fof(kalish240,conjecture,
( ( ! [X] :
( f(X)
=> g(X) )
& ? [Y] :
( f(Y)
& h(Y) ) )
=> ? [Z] :
( g(Z)
& h(Z) ) ) ).

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