%------------------------------------------------------------------------------
% File     : DAT016_1 : TPTP v8.2.0. Bugfixed v5.1.0.
% Domain   : Data Structures
% Problem  : Some element is 53
% Version  : [PW06] axioms.
% English  :

% Refs     : [PW06]  Prevosto & Waldmann (2006), SPASS+T
%          : [Wal10] Waldmann (2010), Email to Geoff Sutcliffe
% Source   : [Wal10]
% Names    : (40) [PW06]

% Status   : Theorem
% Rating   : 0.25 v8.2.0, 0.12 v7.5.0, 0.30 v7.4.0, 0.12 v7.3.0, 0.00 v6.4.0, 0.33 v6.3.0, 0.14 v6.2.0, 0.50 v6.1.0, 0.67 v6.0.0, 0.71 v5.5.0, 0.67 v5.4.0, 0.75 v5.3.0, 0.90 v5.2.0, 0.67 v5.1.0
% Syntax   : Number of formulae    :    6 (   1 unt;   3 typ;   0 def)
%            Number of atoms       :   12 (   5 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :    4 (   0   ~;   1   |;   1   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of FOOLs       :    5 (   5 fml;   0 var)
%            Number arithmetic     :   16 (   2 atm;   2 fun;   5 num;   7 var)
%            Number of types       :    2 (   1 usr;   1 ari)
%            Number of type conns  :    5 (   2   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   1 usr;   0 prp; 2-2 aty)
%            Number of functors    :    9 (   2 usr;   5 con; 0-3 aty)
%            Number of variables   :   10 (   9   !;   1   ?;  10   :)
% SPC      : TF0_THM_EQU_ARI

% Comments :
% Bugfixes : v5.1.0 - Fixed conjecture
%------------------------------------------------------------------------------
%----Includes axioms for arrays
include('Axioms/DAT001_0.ax').
%------------------------------------------------------------------------------
tff(co1,conjecture,
    ! [U: array] :
      ( ! [V: $int] :
          ( ( $lesseq(20,V)
            & $lesseq(V,30) )
         => ( read(U,V) = $sum($product(2,V),3) ) )
     => ? [W: $int] : read(U,W) = 53 ) ).

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