TPTP Problem File: SYN407+1.p

View Solutions - Solve Problem

%--------------------------------------------------------------------------
% File     : SYN407+1 : TPTP v8.1.0. Released v2.0.0.
% Domain   : Syntactic
% Problem  : Kalish and Montague Problem 241
% 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    : kalish241 [Hah94]

% Status   : Theorem
% Rating   : 0.00 v5.3.0, 0.09 v5.2.0, 0.00 v4.1.0, 0.06 v4.0.1, 0.05 v3.7.0, 0.33 v3.5.0, 0.12 v3.4.0, 0.08 v3.3.0, 0.00 v3.2.0, 0.11 v3.1.0, 0.00 v2.5.0, 0.33 v2.4.0, 0.33 v2.2.1, 0.00 v2.1.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 def)
%            Number of atoms       :    7 (   0 equ)
%            Maximal formula atoms :    7 (   7 avg)
%            Number of connectives :    6 (   0   ~;   2   |;   1   &)
%                                         (   0 <=>;   3  =>;   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 (   2   !;   1   ?)
% SPC      : FOF_THM_EPR_NEQ

% Comments :
%--------------------------------------------------------------------------
fof(kalish241,conjecture,
    ( ! [X] :
        ( f(X)
       => ( g(X)
          | h(X) ) )
   => ( ! [Y] :
          ( f(Y)
         => g(Y) )
      | ? [Z] :
          ( f(Z)
          & h(Z) ) ) ) ).

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