Even if the two were physically equal then Superman still wins a majority.
His advantages outweighs CM's advantages
We have for Superman:
1. Better fighting skill
2. More experience
3. HV
4. Freeze breath to slow CM down
5. Vibrate through attack ability
6. Blow breath, again to slow CM a little
vs. CM's
1. magical amp fists
2. shazam lightning (which is useless since Supes is faster than lightning or someone saying the word shazam)
If both fight at their best then Superman wins a high majority by simplying multiple attacking CM. Superman freezes CM to slow his speed down by at least 10% while using his extra skill to hit CM far more times than CM hits him. Also we have HV which would tax CM's health in the fight and blow breath which would slow CM down another 1-5%. Also we have Superman using pressure points and vibrating through attacks. This is all assuming that they are both physically equals.
Anyone who thinks that CM would edge Superman is thinking that Superman would sit there and brawl with CM and not use his other powers effectively as he's shown before while CM is using his powers effectively (magical amped fists).