%------------------------------------------------------------------------------
% File     : DAT001_0 : TPTP v9.0.0. Released v5.0.0.
% Domain   : Data Structures
% Axioms   : Integer arrays
% Version  : [Wal10] axioms.
% English  : 

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

% Status   : Satisfiable
% Syntax   : Number of formulae    :    5 (   1 unt;   3 typ;   0 def)
%            Number of atoms       :    3 (   3 equ)
%            Maximal formula atoms :    2 (   0 avg)
%            Number of connectives :    1 (   0   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :    5 (   0 atm;   0 fun;   0 num;   5 var)
%            Number of types       :    2 (   1 usr;   1 ari)
%            Number of type conns  :    5 (   2   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :    1 (   0 usr;   0 prp; 2-2 aty)
%            Number of functors    :    2 (   2 usr;   0 con; 2-3 aty)
%            Number of variables   :    7 (   7   !;   0   ?;   7   :)
% SPC      : TFF_SAT_RFO_SEQ_SAR

% Comments : 
%------------------------------------------------------------------------------
tff(array_type,type,
    array: $tType ).

tff(read_type,type,
    read: ( array * $int ) > $int ).

tff(write_type,type,
    write: ( array * $int * $int ) > array ).

tff(ax1,axiom,
    ! [U: array,V: $int,W: $int] : ( read(write(U,V,W),V) = W ) ).

tff(ax2,axiom,
    ! [X: array,Y: $int,Z: $int,X1: $int] :
      ( ( Y = Z )
      | ( read(write(X,Y,X1),Z) = read(X,Z) ) ) ).

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