<human>: Can you summarize the given text in a few sentences?

My ex-girlfriend and I live together. We broke up two weeks ago from tomorrow (October 26th). When we broke up, she asked me if she could continue living here for a while until she found a new place. I told her that was fine. Seeing her face kills me. Multiple times since then, I have broken down and tried to convince her to give me another chance. All I hear is that it's too late. My feelings, my emotions, my future, everything feels destroyed.

She keeps seeing this other guy. She met him roughly two weeks before we broke up. She doesn't bring him to our apartment, instead she hangs out with him at his place. We broke up less than 2 weeks ago, and she's already stayed the night at his house multiple times. She tries to swear there isn't anything going on between them two, but I don't know what to think. She just says she is trying to stay away from me to help me.

We got in an argument a few days ago. It was mainly just the same old stuff. I was trying to talk about another chance for us, but she was saying she just wanted me to move on. During the argument, I let it slip that I didn't want her to move on away from me. I mainly just meant that I didn't want to lose her. She called me incredibly selfish for not wanting her to be happy.

Last night, when I found out she was staying the night at this guy's apartment again, I got really upset and told her she had one week to get her stuff and move out. Again, I was called selfish. 

I guess my biggest question is: is it wrong for me to tell her she has to move out of the apartment? She paid half to the rent with me on November 1st. I told her I'll give her some of the rent money back when she leaves. I feel like she is expecting me to just sit back and watch her move on with this new guy. It's crushing me. But I still want to come out of this as a bigger person, as a person who handled a terrible situation correctly.
<bot>: Ex-girlfriend breaks up with me, but still lives with me. She's moving on while staying at my apartment and it's breaking my heart. Is it wrong for me to tell her she has to move out?