I want to give up on you someone that is not loving me.
Based on the (guessing) translation above, the sentence can be grouped as following.
On the other hand,
我要放弃你不再爱我的人 can mean
I want to give up, you are not loving my body (e.g. you only love my money) if I group words this way.
What does 我要放弃你不再爱我的人 mean? How do you determine what word belongs to what?