10 Unbelievable Times Batman Beat Superman
5. The Man Of Steel #3
When John Byrne was given the task of rebooting Superman for the first time in the company's history after Crisis on Infinite Earths, there were of course a lot of aspects of Superman's mythos that suddenly needed to be explained that the original 1930s' comics just never bothered with. One of which being how exactly Superman and Batman met.
With Frank Miller having similarly rebooted Batman in the pages of Batman: Year One as a dark, mysterious vigilante, naturally the two don't start off on the right foot. Batman claims to be trying to be a little better in his approach to super-heroing, but considering he starts off their relationship by forcing Superman to help him stop the villain Magpie or else he'll set off a bomb on an innocent civilian, the Last Son of Krypton isn't exactly convinced.
It turns out to be a complete lie, of course. After Magpie is put away, Superman confronts Batman about the bomb, and Bats just puts it in Superman's hand. The only life in danger was the Dark Knight himself; a ruse he pulled to get Superman to help him stop Magpie. Batman doesn't defeat Superman in the classical sense, but he does start off their relationship by establishing a key difference between them.
"I am smarter than you."