What is the most logical next event?

How to get someone to break up with you 
Avoid or ignore them. 
Don't pick up their calls or answer their texts, and ignore them if they ask to spend time with you. This sort of physically distancing from your partner will likely indicate to them that something is wrong in the relationship.
Keep in mind this will likely also cause more drama and anger from your partner, which may then lead to angry voicemails and " surprise " visits that could get ugly. Blame them for the problems in the relationship.