Who wins?
Bruce Wayne: He has not been trained, has not become The Dark Knight yet.
Kal-El: There is a Red Star, and is surrounded by Kryptonite.
No weapons. No preparation time. Spontaneous show down.
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Kal. Kryptonian martial arts training from The Fortress Of Solitude anyone? He's a pressure point expert. The OP didn't exempt Kal's training, just his powers. Thus, he wins.