If it's not true, don't worry about it.
Your opponent is mostly trying to upset you. It is evident that he succeeded.
Why don't you join the cheating forum?
I assume that people who make multiple baseless accusations are also discouraged by the staff.
Did you read the big article in December about Chess.com's anti-cheating efforts?
Posts like yours are just not allowed in the open forum.
[removed; publicly shaming/accusing is not allowed -- MOD]