Nope Sorry. Captain America looked Thanos w/the Infinity Gauntlet in the eye and didn't blink. If this were a fight where Cap logically loses, then I'd say Cap Loses.
And no, I don't give a shyt about the movies. No one's talking Movie Batman vs BP.
Hell, I'm FAR more of a Batman fan than I am a BP fan.
But unless you're talking a regular fight with Prep-Time™, Bats loses.
Prep being something that fans act like Bats has all the time. Like he pulls the bat time machine out his belt and flies back to plan at a moments notice.
oooh he beats superman all the time you see dat ooohhh"
homie, if Superman were to snap in the middle of a league meeting and hurl Bruce into the sun, no amount of jujitsu and detective skills is going to stop Bruce from dying due to air friction.