Batman vs. Superman, who would win?

No rules, fight to the death. Explain your reason.
Update: At to those who complain that having kryptonite is cheating, no it's not. Superman is also weak to magic and no sun light, just for your info.
Update 2: Also, there was a movie that was going to be made about this. Check out the info at:
Update 3: Batman has already made suits that defend him again Superman's heat vision, strength, cold breath, and punches. Remember, this is no rules, so batman can use ANY weapon in his aresenal.
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