I'm not going to talk to someone who repeatedly refutes nearly everything I say
What exactly is the problem so that you don't want to talk to them?
I told him to knock it off on several occasions, he also accused me of mocking him on many occasions
It is not polite to just ignore someone. You should tell them they have been offensive and deal with the issue.
What do you mean. I'm sort of tired of the whole thing.
I mean no good is going to come out of your decision to ignore them. It's not going to change their behavior so you should tell them how you feel about their attitude towards you.