The fight goes something like this:
Wolverine goes "RAWR!" and leaps! ... Superman isn't there. He moved out of the way, too fast for Wolverine to follow. A medium-strength dose of freeze breath locks Wolverine down for the moment.
Meanwhile, Spider-Man webs Superman while he's paying attention to Wolverine. Superman makes some comment about how his heat vision can take care of this problem and then proves it, melting the webbing away with zero effort. He then swings at Spider-Man, who dodges thanks to agility and spider-sense! He makes a remark to this effect.
Wolverine breaks free. He charges again. Superman remarks that he'll have to stop playing around. He catches Wolverine's wrist as he lunges with a claw! He catches the other wrist. With a mighty swing, he sends Wolverine into the next city over. Ring out.
Spider-Man tries to punch Superman but hurts his hand more than Supes. Superman offers to let him give up and admit defeat. Spider-Man, being not exactly stupid or insane, accepts readily.
Superman doesn't even have to be out of character and bloodlusted. His normal ability is more than enough.