Universe explodes.
But seriously Batman wins. You can't give him prep. Prep is his walking Plot Device victory.
Same shit goes for Reed Richards and Doctor Doom. They are all right without prep(Well Doom is badass no matter what) but once you give them prep it is a joke and they instantly win. It is what they fkn do.
Would make for an interesting crossover though. I'd pay to read a well drawn-out battle of wits between them.