Wolverine stomps, with no prep and only basic gadgets Batman is completely screwed. Taking away all super powers, Batman wins 6.5/10 for H2H, both are extremely skilled, with Wolverine having decades more experience yet Bats has a greater skill set. However Wolverine's healing factor and admantium skeleton let him win with ease. Lets assume Batman is not poisoned by the Admantium and is accustomed to having it in his body(not slowed down and his strength is appropriately increased to deal with it), even then he won't have the strength to KO Wolverine who gets hit by the Hulk pretty often and stays conscious. None of Batman's basic gadgets can do anything to KO Wolverine either seeing as Wolverine has shown resistance to gasses(see him not even noticing mustard gas in WW1), and electricity might slow him by messing with his nerves but stands little chance at knocking him out. Wolverine's healing factor is crazily over powered, Batman would need some hardcore normally lethal gadgets to even stand at chance at knocking Wolverine out and those would certainly not be part of his basic equipment.
Bats has no way of protecting himself from Wolverine's claws because only Vibranium(and maybe Carbonadium?) in the Marvel U can withstand Admantium and Batman's basic suit has never been shown to include a DC U equivalent that strong. Yes the addition of an Admantium skeleton makes it so he can't be dismembered/decapitated but it still leaves him vulnerable to being disemboweled. Batman may be able to avoid Wolverine's attacks for a little while but Wolverine is almost as skilled as Bats is in H2H so there is a very high chance he'll catch Batman. Even if somehow they were evenly matched Wolverine's healing factor grants him incredible endurance allowing him to simply outlast Batman who would succumb to exhaustion.
In pure H2H or with prep Bats normally wins but give them their basic gear and Wolverine wins 10/10 times.
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