Notions of a successful system and an ecologically acceptable successful system are proposed. These notions are convenient for formalization of a received inventive problem solution idea by means of TRIZ. This name was proposed by G.S. Altshuller [1] as abbreviation of the Theory of Inventive Problem Solution. Such a formalization is useful for training a creator of a successful system or an ecologically acceptable successful system for the intensification of his creative efforts.