This is such a non-fight that it's not even funny.
Among the nasty ways Superman could take Logan out:
-Flown into space and abandoned
-Dropped into a volcano
-Abandoned at the bottom of the ocean
-Flesh burned completely off his body
-Frozen then his head could be separated from his body
-Concentrated burst of heat vision eye-to-eye
much more where that came from...
The only hope that Wolverine would have is if Superman was arrogant enough to try to test his invulnerability against adamantium.
-Flown into space and abandoned- Like wolverine needs to breath! pff!
-Dropped into a volcano--like hot molten rock could melt wolvies skin!pf!
-Abandoned at the bottom of the ocean-Wolverine is an olympic swimmer! PFF!
-Flesh burned completely off his body--regrow it Duh
-Frozen then his head could be separated from his body-wolverines head is unfreezable you fool!
-Concentrated burst of heat vision eye-to-eye--wolvies eyes are adamantium.