Artificial Super-intelligence as a term has existed for a while as a term meaning "AI more capable than a human in all domains". If it existed now it would be able to completely eliminate all human life trivially. Obviously we are not there yet, so it is an imprecise term. Obviously we have had narrow super-intelligence for a while (AI better than humans at calculation, games, and now research mathematics), but it is still less capable than humans at some things given that humans are still employable.