Can Wolverine be decapitated by an Adamantium based weapon?

In Avengers Assemble, Wolverine tries shredding Captain America's shield and nothing happens, he then backs off and remarks that the only substance that can withstand his Adamantium claws is Vibranium. The same thing happens in Avengers vs. X-Men #3 when Wolverine grazes his claws on the shield but nothing happens. So how would that work with two indestructible substances? I'm asking because that seemed to be Stryker's big answer to decapitating Wolverine using Deadpool's Adamantium katanas.