After my wife left (to file for divorce and go on dates), she came back (with my 2 toddlers) to my house about 3 weeks ago.

You can read how we got here:

https://www.reddit.com/r/Marriage/comments/1dgaotr/comment/l8wqcg2/

I asked her if she's still talking to any other men, she said she stopped after she moved back in with me. I found out that not only she's still talking to other men, she's still on dating apps. I know she's lying but she doesn't know that I know.

I'm moving forward with my divorce and 50/50 child custody.

How do I coexist with her (for the next 9/10 months) during our divorce, while she's living in my house, knowing that she's a lying sack of s*it?