Well that's the problem with all proofs. If the premises are false the proof is not sound. That doesn't preclude the proof being tight, i.e. as in well reasoned and logically argued. Outside of mathematics you will be hard pressed to find a proof where someone doesn't disagree with a premise or two. And even within math we have intuitionists and constructivists claiming things like proof by negation is invalid. So if your criterion for solid proof is one that everyone agrees with, you are bound to be perpetually disappointed. On the other hand if your criterion is proofs that highly intelligent people find convincing after fully understanding the argument, then I again submit to you the ontological argument which even Russell claimed was sound at one point in his life before walking that back and saying it is wrong for some unknown reason.