It only demonstrates that local reality doesn't exist (or a loophole)! The experiment is perfectly compatible with non-local reality.
Bell's inequalities rule out local hidden variable theories. Nonlocal (ftl influence between particles) theories are still in the running, and thanks to the no-communication theorem, don't invoke causality violations.
Said otherwise, the universe is programmed in Haskell.
More like "Cogito, ergo sum" (I think, therefore I am). And it does makes sense but it's quantum so..