What kinds of inventions can't be granted patent rights?

No patent right shall be granted for any invention-creation that is contrary to the laws of the State or social morality or that is detrimental to public interest, article 5 of the Patent Law says, and the article 25 lists out following concrete examples:

(1) scientific discoveries;

(2) rules and methods for mental activities;

(3) methods for the diagnosis or for the treatment of diseases;

(4) animal and plant varieties;

(5) substances obtained by means of nuclear transformation.