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Given that Batman's main goal may be to freeze Fantastic, that would not be too hard to achieve. However, Mr Fantastic would not, I think, allow himself to be in such a situation. Furthermore, Batman has the disadvantage in that he has a much easier body to entrap and/or mortally wound, though the same applies, he would not allow himself to be in that situation.
In short, I can see neither achieving the upper hand in a one-on-one battle of wits.
Granted, I don't think the Bat could ever beat him at chess.
[Edited on 12.01.2012 9:35 AM PST]