Stay or drop this man?

My SO and i were separated, and while we were separated i met a new guy. He was sweet and all, he told me he didnt want us to be official yet until my divorce was finalized. But he always tell me im his dreams, he wants to marry me, and treat me good.

I moved in with him, he was always looking at other women online, and when i talk to him about it, he says he can do it cause hes single. And i would ask him what our relationship mean to him, and hed jokingly say, "we are just roommates, and fwb," then later accusing me that our relationship mean nothing to me cause im the one who keeps saying i just want to be single.

After the divorce was finalized, we were still not official, he told me he doesnt ever want to get marry, he still post things on facebook bragging about how sad his life is with no woman in his life, every time i speak to him about my boundaries, he doesnt want to listen. He still checks out other women, and when i talk to him about it, his excuse is always, "im single." Then he would say, im the one with trust issues thats why hes unsure about me.

But he still wants me to live with him. Should i leave him or stay to see what happens next with us?