Chocolate is good. <-Opinion
Chocolate is sweet. <-Fact
Chocolate is good because it is sweet. <-Fact and Opinion.
People try to make a point with irrelevant facts. If you are convincing someone to like chocolate, and you are using the fact that it's sweet, it doesn't mean that the other person should have to like chocolate. What I'm saying is that you claim arguments can be solved by facts, but arguments are based on opinions. So any facts you are trying to use aren't really going to help. This happens ALL the time. One person has a list of facts, that are factual, but they think it means something to another person's opinion that it doesn't.
I LOVE RIBEYE STEAK.
It's salty <- Fact
It's juicy with fat marbled throughout <-Fact
It's a tender cut of meat <-Fact
My girlfriend hates steak. It doesn't make my facts untrue. Those facts just don't affect her opinion.
What you're describing is less a argument and more a correction. No one argues against a fact that has nothing to do with opinion.
If someone said they could punch through steel, and you showed them they couldn't, you wouldn't still have to argue with them that they couldn't. No one is going to smash their hand against steel and still argue that they can.