Superman is on a completely different level to Wolverine. Superman could knock out Wolverine with one punch, then drop him off in space or in the sun. No healing factor would save him from that.
Wolverine's claws might be able to cut through mostly anything, but I don't think Wolverine has the physical strength to push them into Superman. Superman's has super durability, and an aura. If you want a closer match up between Marvel and DC, pit Superman against Hulk, Thor or Sentry