Round two: Hunter/Prey
Eventually, after passing through a wormhole, Doomsday's asteroid was accidentally found by a deep-space scavenger ship. Upon closer examination of the peculiar-looking drifting rock, the ship's crew retrieved the object hoping to find something of value. The scavenger vessel happened to be on a route to Apokolips, the home of the awesomely-powerful tyrant Darkseid. Doomsday was fully rested and, after slaughtering the crew of the salvage ship, found himself landing on the harsh world. This was to be the setup for a final showdown between Doomsday and Superman (similarly resurrected, in the meantime), who had been uneasy about the possibility of Doomsday's resurrection. With the help of his JLA contacts, Superman procured a Mother Box, a thinking computer, after Darkseid's servant Desaad contacted Earth about a problem on Apokolips. Unknown to Superman, Doomsday had faced and beaten Darkseid himself in single combat (even surviving Darkseid's fabled Omega Beams) and was laying waste to Apokolips. Unfortunately, before Superman could deal with Doomsday, Desaad opened a boom tube to Calaton -- the first world where Doomsday was successfully defeated -- and sent Doomsday through to what he believed was his defeat at the hands of The Radiant. However, Doomsday is essentially able to adapt and overcome any opponent because of the process by which he was created (he was always stronger than he had been prior to his last death); so, although the Radiant had defeated him once, he would not be able to defeat him again. Likewise, even though Superman had killed Doomsday once before, he would be unable to do so again. Superman, while knowing this, was obsessed with stopping Doomsday and traveled to Calaton. He fought Doomsday again with the help of the Mother Box, but, despite it providing him with extra weapons such as an ultrasonic gun and an energy sword, Superman met with defeat. He was forced to use one of Waverider's time travel devices to leave Doomsday stranded at the End of Time, where Doomsday met the one force he could not overcome: entropy.