Umm... your statement does not even make sense. Hulk is indestructible. He shot a bullet down his throat and then spit it right out. This is a very close fight, but I gotta give it to the Hulk.
I believe they did fight, and Wolverine got ripped in half https://itunes.apple.com/gb/book/ultimate-comics-wolverine/id553868710?mt=11
Even Wolverine wouldn't be able to survive the damage done to him by the Hulk once the green goliath got angry enough. Sorry, Logan, but you just aren't the one to take out the Hulk.
Wolverine has healing .nuff said .
I think wolverine could heal after a beating by hulk. If the hulk somehow was caught in between his human form however he might be torn up