Under naturalism there can never be a supernatural phenomena that would prove supernatural things exist. Because once the phenomena reaches a state where it can be measured it ceases to be supernatural and becomes a thing of scientific investigation. And while its not in a state that could be measured there is nothing to investigate. Or put it another way - naturalism is a world view that would kill any supernatural interpretation even if/when its real. And as such it cannot be used to prove nor disprove supernaturalism.