%------------------------------------------------------------------------------
% File     : NUM820^5 : TPTP v8.2.0. Bugfixed v5.1.0.
% Domain   : Number Theory (Induction on naturals)
% Problem  : TPS problem from IND-THMS
% Version  : Especial.
% English  : Induction theorem for addition.

% Refs     : [Bro09] Brown (2009), Email to Geoff Sutcliffe
% Source   : [Bro09]
% Names    : tps_0882 [Bro09]

% Status   : Theorem
% Rating   : 0.80 v4.1.0, 0.67 v4.0.0
% Syntax   : Number of formulae    :    5 (   1 unit;   3 type;   1 defn)
%            Number of atoms       :   48 (   1 equality;  18 variable)
%            Maximal formula depth :   12 (   6 average)
%            Number of connectives :   26 (   0   ~;   0   |;   3   &;  19   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%                                         (   0  ~|;   0  ~&;   0  !!;   0  ??)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3   :;   0  :=)
%            Number of variables   :   10 (   0 sgn;   9   !;   1   ?;   0   ^)
%                                         (  10   :;   0  :=;   0  !>;   0  ?*)
%                                         (   0  @-;   0  @+)
% SPC      : THF_THM_EQU

% Comments : This problem is from the TPS library. Copyright (c) 2009 The TPS
%            project in the Department of Mathematical Sciences at Carnegie
%            Mellon University. Distributed under the Creative Commons copyleft
%            license: http://creativecommons.org/licenses/by-sa/3.0/
%          : THF0 syntax
% Bugfixes : v5.1.0 - Removed - duplicate of NUM811^5
%------------------------------------------------------------------------------