Batman is a better fighter, he could maybe use some of his standard gadgets (gas pellets, batarangs, etc.) to KO Wolvie (the gas pellets there). But for most purposes, Wolverine will probably just heal and then either fight with Batman until he gets exhausted and then kill him......or get lucky and kill hi@Sparda:
Leave the vine no way is batman abetter fighter than wolverine wolverine has MASTERD not trains every martial art on the world not even sure if batman trained for all of them plus wolverine is immune most gases and diseases
batman has mastered every style as well,the verdict on the winner was obvious,not sure why you bumped it to reply to a guy who prolly has left.