based solely on the WB cartoon since I never read the comics, Batman. He stacks up on Kryptonite just incase Superman betrays him. and I think he could puncture the anti-kryptonite suit Superman wears.
Superman wears and anti-kryptonite suit?
Also, kryptonite hasn't been a real serious weakness for a long time.
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In a straight up, no additional variables fight, Superman crushes Batman faster than the speed of light. There is no contest there. But Batman would never be dumb enough to face Superman without some sort of method of stopping him.
If we bring in Kryptonite, and Superman's lead anti Kryptonite suit, that changes things a bit. If Kryptonite is a factor, then Batman has the advantage. But then again, if Superman has the suit to block to Kryptonite, then advantage goes right back to him. Sure, Batman would have some Bat Acid something or other to eat through the suit, but would he have the time to use it? He'd have to know about the suit in advance, prepare to get it off by tricking Superman in someway (BTW, Superman isn't a Batman level intellect, but he's no dummy, so tricking him would be hard to do.)
So to answer the question...it depends on who the writer likes more. Batman has sort of become a Mary Sue in the hands of certain writers, so he would definitely be given the win in most instances.
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Yeah but This Ends Now Superman would never go This Ends Now on Batman. Like I said they'd get to the bottom of the scheme of the puppet master attempting to pull their strings. They're smart guys and good friends.
If they're both drunk they might fight though. It's anybody's game at that point.