Does Bell's theorem ume what it's trying to prove?

It's trying to prove that non-quantum-physics leads to contradictions. But, it umes and uses quantum mechanics in its calculations. This is heavy duty physics. Although quantum theory gives excellent answers pertaining to the micro world Einstein and others have said quantum theory doesn't reflect the real world re the EPR PARADOX. So the Bell inequalities resulting from experiments based on Bell's theorem supposedly refute the EPR PARADOX. The Bell inequalities although somewhat of a sacred cow have their critics. Hence, my perhaps naive question above.