Who would win, Doom Slayer, or Saitama

Me and my best friend have about who would win this fight for literal months. I think Doom Slayer would win, because he LITERALLY KILLED GOD AND CAN ONLY BE KILLED BY ANOTHER PRIMEVAL. Saitama is NOT a primeval. They both scale infinitely, but my friend claims that even if saitama couldnt kill the slayer, then the slayer cant beat saitama either.