Gladiator should be able to take this. He doesn't hold back like Superman and he's faster, stronger and more durable than Superman was at this time. It depends on if his confidence dips because DD doesn't go down after the first few punches. DoS Doomsday isn't really that impressive, imo.
The fact that the OP says DoS Doomsday clearly tips the balance in favor of Gladiator. He has feats well above anything demonstrated by Doomsday in this book.
Now due to recent additions and declarations of his son about how he saw him tear a black hole with his bare hands, I tend to think that Gladiator could reduce even current Doomsday to very thin particles.
@The_Last_Son_of_Czarnia: The League was protected by plot, plain and simple (Booster Gold should've died after having his head slammed in that car door sans forcefield and Blue Beetle was supposed to die but editorial changed their mind.) Superman finally stopped holding back and dropped his "mental blocks."