That is very culture- and context-bound. In court for example would say "Surely you must be mistaken. I have evidence that contradicts that statement." but in certain cultures, like the Netherlands, there would very likely be a much more direct response. Even calling it out directly. Now, calling someone a liar is often rude, but most Dutch people have no problem saying "That is simply not true."
I have found in debates it often helps to point out to the audience if someone is using a logical fallacy. It makes it easier to follow along.
All this talk of lying reminds me of the time the US ambassador in the Netherlands got into hot water with the Dutch press because he lied about Dutch politicians being set on fire years before, denying he ever said that later and not wanting to answer any questions about it... so every journalist in the room started asking him about it. Politely of course. XD
He stopped being the Dutch ambassador on Jan 17th 2021.
It’s Lying Pete Hoekstra’s first day as the US Ambassador in the Netherlands - Dutchreview
P.s. If you ever see someone writing in extremely long English sentences, with lots of commas in there, they are probably either Dutch or German.
But saying something that is not true and a lia is not the same. A lia means saying something not true even i know its not true. I can say 2+2=5 is true without being a laier.