Turned off by boyfriends actions. Should I give in?

A little back story, I'm 30 he's 32, we've been together almost 6 years, we have a house together, and we have 1 year old twins. Long story short our relationship has been rocky for a long time. He's verbally and emotionally abusive. When we argue he always ends up calling me a retard, bottom of the barrel woman, talks about my parenting, calls me lazy. It's been going on so long I've started calling him names and getting out of character. I'm in therapy to help myself but he doesn't think he needs help. I'm honestly tired of this situation and don't want to have sex with him at all. With the stress of being a new mom, working fulltime, and him, sex is the last thing on my mind. Its been a month since we last had sex.He can't fathom that I'm not interested in sex so he thinks I'm cheating. I'm not what so ever eventhough I see nothing in this relationship. I think we should go I'm dates, do thinks together to try establishing some type of bong but he told me he sees that as prostitution and blames his lack of sex for us not doing anything. I really don't want to give my body to someone who hurts me. I even told him to have sex with someone else and he got mad, called me dumb and everything. I know it's a messed up situation but should I give in and have sex to get it out the way or don't and just work on myself? Thanks ladies.