%------------------------------------------------------------------------------
% File     : ARI584_1 : TPTP v8.2.0. Released v5.1.0.
% Domain   : Arithmetic
% Problem  : Interval (Y,Y+3) cannot cover interval (X,X+5)
% Version  : Especial.
% English  :

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

% Status   : Theorem
% Rating   : 0.00 v7.4.0, 0.17 v7.3.0, 0.25 v7.1.0, 0.17 v7.0.0, 0.00 v6.2.0, 0.20 v6.1.0, 0.33 v6.0.0, 0.38 v5.3.0, 0.43 v5.2.0, 0.60 v5.1.0
% Syntax   : Number of formulae    :    1 (   0 unt;   0 typ;   0 def)
%            Number of atoms       :    4 (   0 equ)
%            Maximal formula atoms :    4 (   4 avg)
%            Number of connectives :    4 (   1   ~;   0   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   8 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number arithmetic     :   11 (   4 atm;   2 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  :    1 (   0 usr;   0 prp; 2-2 aty)
%            Number of functors    :    3 (   0 usr;   2 con; 0-2 aty)
%            Number of variables   :    3 (   2   !;   1   ?;   3   :)
% SPC      : TF0_THM_NEQ_ARI

% Comments :
%------------------------------------------------------------------------------
tff(interv_3_cannot_cover_interv_5,conjecture,
    ! [X: $int,Y: $int] :
    ? [Z: $int] :
      ( $less(X,Z)
      & $less(Z,$sum(X,5))
      & ~ ( $less(Y,Z)
          & $less(Z,$sum(Y,3)) ) ) ).

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