Domain Name Dispute: software patent eligibility after Alice

EDIT: added more context below. I've been trying to resolve this on my own but I'm stuck.

software patent eligibility after Alice. I've been dealing with this for about 15 months now and the situation isn't improving.

I have already done some research online but the other party is not cooperating.

Do I have a strong case? What should my next steps be?

This happened to me too. Have you tried filing a complaint with teh relevant agency? In my case they investigated and it got resolved without needing a lawyer 🤷.