Looks like you have a misunderstanding of what a mathematical proof is. I have but a mere bachelor’s in applied mathematics and employed as a statistical engineer for a couple decades now. If a proof is successful at showing a mathematical statement is true, it’s a done deal. It doesn’t work like science which relies on mathematical models to explain its anecdotes.

There are massive libraries or repositories of scientific/mathematical published research throughout higher education institutions and across various technological industries. The required training data exists.