HE has Matter Manipulation, Soul Manipulation (though the soul haxs seems flowerly), Biological Manipulation, and BFR, which Doomsday doesn't resist. So he could try to hax Doomsday. Though, Doomsday does have the AP edge here iirc so
Doomsday isn't stupid, himself. If he knows that his opponent can potentially kill him, then he could ambush him, or something (he's surprisingly stealthy, being able to stow away on advanced spaceships).