I'm female, and I voted for Superman.

Your question was who would "wipe the floor." Based on strength and power, Superman is the clear winner. Batman's cleverer, and has a cooler costume, though.

Besides, everyone knows that Superman is gay for Lex Luthor!

I'm.... HAPPY!!!

Batman beat Supes in The Dark Knight Returns, but he had some help from Green Arrow and a nuclear missile.

dont forget the tank

Since this is the net, I'd like to call Superman out as a Nazi. Go Dark Knight!

That's just part of his ensemble, like the utility belt or the Batmobile. I wouldn't count it, or his powersuit, as external aid.

Wasn't the arrow tipped with kryptonite though? Shit that was a long time ago. 20 years?

Yup. Superman got nuked, the nuke blocked out the sun so he couldn't recharge, Batman shot him with missiles, Green Arrow hit him with a Kryptonite arrow, and Batman punched him out while wearing a power suit hooked into the city's electrical grid.

and then he told him his mother dresses him funny

Didn't Bats "die" of a "heart attack" only to come back from the "dead" to lead an underground resistance?

Eyes slideways, man.

I offer you this...
 

(in Shakespearean voice)

Batman!
Hanging on a rubber band
Along came Superman
Thought he was the boogeyman
Threw him in the trashcan.
(deep theatrical pause) Batman.

Now, I've never been clear who threw whom into the trashcan.

Yup. Superman survived, too.

Batman wins hands down.

Because he is cunning and would prepare well in advance - probably some sort of plot involving one of Superman's dependents, making Superman lose his temper and finally Kryptonite - but only as the coup de grace.

In fact I see it now - Superman on a tilted table, with a beam of pure Kryptonite slowly fizzing towards his super-nads and Batman in the background laughing, "No, Superman - I expect you to DIE!" Which is such a good idea I'm rushing off to copyright it.

batman - he doesn't rely on brute strenght alone, but has the intelligence to invent those awesome little toys:D