Move this topic to reputation, I'm ready to provide all the evidence of our conversation.

Don't worry.
You want to share our pro conversation? This shows how you professional you are. From my side I can’t share the private conversation in public because it’s confidential and about business. But I can share screenshots that show your rude behavior and what you said to me.
The real problem here is your attitude, and how you forced the contest to close by ruining it when we didn’t let you join. You begged me to participate, and I told you it was a conflict of interest. After you kept insisting, I said yes. What happened next is already above...