Just to point out the obvious, which has probably been pointed out before in the previous 165 posts:
There is no such thing as a 4000 rating in chess, and there never will be. Chess has a wide draw margin and the best possible rating is probably somewhat below 3600. That is, a current 2800 player could draw at least one game out of fifty against God himself. Or, a perfect engine, whichever you're more likely to have faith in.
I know, USCF and FIDE are different algorithms, right? I'm logging off in 5 min btw.