How do I report cheaters? No naming and shaming
you go to the cheating forums and confess.
If he was using a computer it sucked at chess. I checked his moves and you had more moves than he which matched the best or second best option according to Houdini
First no naming in the forums.
Second, read this:
You can report a suspected cheater by clicking the following link and submitting a support ticket : http://support.chess.com/Tickets/Submit