It’s not a marriage ending. There no legal contract regarding any other finances. They own an asset together. They want to end the relationship the asset will be sold. The cost of legal fees to Op to fight to stay in the house would likely leave her in a worst position and there’s an extremely high chance she wouldn’t win.
Even if he agreed to let op stay and she paid the mortgage out of CMS payments, she would still need to pay for the upkeep of the property. If CMS isn’t payable due to shared responsibility of the child, why would he pay for his own housing for him and his child, not get his equity AND pay towards Ops housing costs?
But as it’s claimed he is abusive, even if he let Op stay, he would use that to continue to abuse her. He could change his mind at any point. It’s still his house so he can go in if he wants and so on.
If this man is abusive, Op should call the police. However, that’s not that simple either. Telling someone they are a narcissist and weird, isn’t always abusive. Plenty of women label their ex those term to the face and to other people. We don’t know the Op. she could be a narcissist. He could be abusive AND so could be a narcissist.
The problem with ‘log it with police’ or ‘call the police’ is that it could end up worse for Op, depending on the situation. Calling the police out saying you are abused when it turns out it was an argument with no threatening behaviour and him saying ‘god you are such a narcissist’ could hugely back fire on Op. especially if she threw some name calling back.
Proving emotional abuse is very difficult and it takes more than ‘he called me names when we argued’. If Op has evidence of long term emotional abuse, that’s one thing. But calling the police out because he called her a name in a mutual argument could be playing into his hands. It would make the case that the house should be sold to reduce how much contact they need. It could give him evidence that she is trying to alienate him as a parent or even maliciously complaining about him to get him out of the home.
Being a victim of abuse really isn’t easy, you have to step carefully. Anyone that is tempted to exaggerate accusations, could easily find it massively backfires, drags the whole thing out AND makes it far more distressing and expensive than it needs to be.
I am not saying op is considering this. But I get the impression some people are giving the ‘just call the police advice aren’t really thinking it through.