%------------------------------------------------------------------------------
% File     : ARI592_1 : TPTP v8.2.0. Released v5.1.0.
% Domain   : Arithmetic
% Problem  : If Z > 2, there is an X in the interval (0,Z) different from Y
% Version  : Especial.
% English  :

% Refs     : [Wal10] Waldmann (2010), Email to Geoff Sutcliffe
% Source   : [Wal10]
% Names    :

% Status   : Theorem
% Rating   : 0.12 v7.5.0, 0.20 v7.4.0, 0.12 v7.3.0, 0.17 v7.0.0, 0.00 v6.3.0, 0.14 v6.2.0, 0.38 v6.1.0, 0.56 v6.0.0, 0.57 v5.5.0, 0.56 v5.4.0, 0.62 v5.3.0, 0.70 v5.2.0, 0.83 v5.1.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 typ;   0 def)
%            Number of atoms       :    4 (   1 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :    4 (   1   ~;   0   |;   2   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   8 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number arithmetic     :    8 (   3 atm;   0 fun;   2 num;   3 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :    2 (   0 usr;   0 prp; 2-2 aty)
%            Number of functors    :    2 (   0 usr;   2 con; 0-0 aty)
%            Number of variables   :    3 (   2   !;   1   ?;   3   :)
% SPC      : TF0_THM_EQU_ARI

% Comments :
%------------------------------------------------------------------------------
tff(exists_X_0_Z_noteq_Y,conjecture,
    ! [Y: $int,Z: $int] :
      ( $less(2,Z)
     => ? [X: $int] :
          ( $less(0,X)
          & $less(X,Z)
          & ( Y != X ) ) ) ).

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