See if it will work obviously they might want more than just a one on one relationship
Break up with them
Break up with them, have the cat help me dig the grave.
I don't understand the problem, unless this would somehow effect the utility of the relationship.
If I am happy with them then why would I leave? If they aren't happy with me then why would I want to keep them?
Break up with them. Whats the point in anything else, it's not gonna go anywhere