Poll
43%
57%
To truely prove this, you have to take a few things into acount. If you are a fan of Doomsday, you will already know that he is pretty near indestructable and if he was to be defeated, he will just come back 10x stronger. Plus, his background tells us that he can't be defeated by the same person twice, so if Apocalypse did defeat him, he'd have a hard time defeating him a second time.
if you are going to defeat doomsday, i think you have to do it with something other than actually trying to physically subdue him. in this case, i think apoc has what it takes to "kill" doomsday once. but thats all he need. because after that, it is his genious intellect that will be the deciding factor. apocalypse knows quite a bit about genetics, and i think he could -reverse- what makes doomsday regenerate in the first place. hence....... no more doomsday.