It is not intensely abstract to expect that words should not have diametrically opposite meanings at the same time, even if some people with degrees in natural science misuse them thusly. Does "proved" means something that is subject to question? Or not? Or are you simply going to continue to insist that "proved" means both things at the same time?
Words have different meanings to different people of different backgrounds. If I were to say I needed to abduct your arm - you might wonder why this nut wants to take away your arm - when all I wanted to do was test the range of motion and move your arm away from your body.
If I say that a fact is a well observed occurrence and that a coherent set of supportive facts can be offered as proof of a hypothesis then I am using different definitions for fact and proof than you are. My set comes from my background and are understood and usable in my environment.