Superman's only disadvantage in this is his kryptonite weakness... Without the K Ring Bats doesn't stand a chance of hurting Superman, let alone defeating him. But with the ring, there's no limit to the devious tactics that Bats' brain can dream up...
And Wonder Woman SHOULD squash Bats like a bug with her near-Superman powers and her lack of stupid weaknesses... but this is Batman we're talking about, lol....