  The influence of a hypothetical CP violating $|\Delta S|=2$ interaction on
the time evolution of the $K^{0} - \bar{K^{0}}$ system is investigated. It is
shown, that if we were to assume the existence of the superweak-like
interaction then this would lead to the conclusion, that there might be
observable effects in the masses of the neutral kaons. We address the
possibility of experimental observation of these effects and perform a computer
simulation of one of the parameters which describe such effects. Instead of the
widely used Lee, Oehme and Yang approximation, which is not suitable to
considering this kind of interaction we use a formalism based on the
Krolikowski-Rzewuski equation.
