I'm not sure you can defend yourself after a point of disagreement. For example, someone says "eating chocolate rabbits is murder". You say: "they are not alive?". They say "they are to me and you are a murderer!"
You can prove an accusation unjust. But, short of gagging them, they'll continue to call you the slayer of chocolate bunnies.
A mod might slap a gag on you both, sometimes giving you "the last word". Sometimes not. It's an unwinable debate usually resolved by one person losing interest. Arguably, it's playing fast forward on that.