Don't forget Cap has pretty impressive rejuvination rates. Not exactly on par with Wolverine or anything, but still capable of repairing what would be a fatal injury to a normal person in the course of a few hours.
Although the premise of the Super Soldier formula was that it brought a human body to the peak of human ability. Let's face it: Batman's already there. So physically they'd be almost equal. And Batman has superior combat skills.
So- this gladatorial fight- is it a "points" match or a "knockout" match. If it's points, Batman would win. If it's knockout, it'd go to Cap. But either way it'd be close.
EDIT: Unless Batman fights dirty. KICK HIM IN THE KNEECAP!!!!!
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