John,

You are correct. I didn't mention the Pronto hex codes, I'll bring the hex codes later.
Your explanation was very nice. I really want to solve this problem, and I guess you can help me easier than I thought. Because I had imagined this impossible.

Those hex codes "turn on" and "turn off" are from Marantz RC5400... learned from air conditioner GREE. Which has the same problem.

First of all, I will do the Pronto's firmware update. Get the hex codes and glue here.

Thanks for a while.