How do you use confute in a sentence?

The boss was enraged and embarrassed that her employee had managed to confute the feasibility of her proposal, and although she couldn't fire him for it, she has had it in for him ever since.

Professor Nathan taught me how to break someone's argument down into pieces, and confute each piece, one by one.

It was deeply satisfying to confute his argument, not just for the sake of being right, but because he is an arrogant, obnoxious fool.