So, you're not a Thor fanboy, sounds like you're a DC diehard instead.
BAtman can beat Superman only because he has a weakness to exploit, kryptonite. Other than that, there is no way for BAtman to beat Supes. What is he going to do against WWH? WWH can witstand space (so bat's can't gas him). What other super-secret bat-weapon at his disposal that can copnceivably do the job? Nothing else. Hit him with a nuclear bomb maybe? Then again, Bats hate using guns, I don't think he will resort to using weapons of mass destruction.
"Batman with Prep" is a running joke in this message board. It's an exaggeration. It's not meant to be taken seriously.
Batman PREPARES against Killer Croc or Clayface all the time, but he only manage to win by the skin of his nose, most of the time. Nah. BAtman with "prep" is a tired gag in this board, whis has taken a life of it's own.
Besides, speaking of Batman-fan, I am a bats fan. I collect all his trades and HCs (I prefer them over single issues), and I have an almost complete action figure collection. He is my most collected character (toy-wise), but even I don't think he (alone) can win against Superman, with or without prep (unless he exploit the kryptonite thing, or he gets help from Captain Marvel).
Batman rules all! He can beat the Spectre and the Living Tribunal with only 2 days of prep for either one!