I want to argue with my dad.
Why do you want to argue with him?
I want to show him that I'm better than him.
I do not think that you should outright tell people that you're better than them even if it is true as it can be very rude to hear. If you think you're better at something, then strive to help people with your expertise rather than comparing yourself to others.
I'll never agree with him. He is wrong.
I get that you may disagree with your father sometimes, but it feels very toxic to always think that he's wrong and if things doesn't change, I suggest you just move out. It is healthier for you both to spend time apart, and if you ever visit in the future, make sure that your respect with him is there.