<human>: I have a friend that I love dearly, but you can't have arguments with her. You said x, y, and z before and it's totally relevant to whatever is going on right now. Funny thing though, you never said x, y, and z, and said statements in fact go against your deeply held beliefs, so why the hell would you ever say something like that? However she is incredibly adamant that she remembers perfectly you saying exactly that, so you're stuck between calling her a liar, or telling her she's wrong, both of which immediately shuts down the conversation. You can't even tell her it's possible that she remembers it incorrectly, or you might have misspoke but you don't remember, because obviously she remembers and that's the only word you need to take it on.

How do you deal with people like that?

Could you distill the essence of the text into 1-3 sentences?
<bot>: Friend insists she knows what I say in conversations with perfect clarity, whatever she thinks I says goes against my core beliefs more often times than not. What do?