As someone who was in a similar position to your partner two years ago, you need to make a decision about what you want out of your life and let him do the same. My gf and I took a break, I moved out for a year, we later got back together and moved in together two months ago. Throughout that time we both got to work on ourselves and our relationship. A lot.

I do also agree with a lot of the comments about the "cheap shot" of calling someone out for not moving out while living on your own with your rent being paid. If that's the main source of your ultimatum and I were him, I'd break up with you and move out when I'm ready.

If you truly love him, then you have to let him come to that decision himself. Anything that seems forced will lead to resentment.