You don't always have to prove you're right and it's futile to argue with fools anyway. Why waste time on futility that will just make you look silly? Better to focus on something more rewarding and productive.
Pastor Chris' Paraphrase of Proverbs 26:3-5, 12
3 You drive a horse with a whip, a donkey with a bridle, and a fool with switch to the back.
4-5 Don’t try to answer every ridiculous argument a fool makes. You’ll just sound foolish like them. Set a fool straight only when you must; show how absurd their “wisdom” really is.
12 Fools have a better chance than people who think they know it all.
It's best to just ignore fools when they spout nonsense about something that doesn't really matter. However, you need to speak up if it's something important. When you do, don't get sucked into their way of thinking and arguing. Don't build your case on their flawed thinking. Start with the truth and expose their folly so they don't lead themselves or anyone else astray.
"Holy Spirit, help me to see when my thinking is wrong-headed. Guide me gently to the Truth. Help me to be wise and know when it is best to just ignore foolish reasoning and when it is time to set someone straight. Amen."