Prove something cannot be explained. By what agency are you going to prove this? Prove that Leprechauns didn't build the process that cannot be "explained" by natural means.
Can't Prove a Negative. Until humanity explores every possible explanation of natural selection being responsible for that biological structure then a supernatural explanation is premature. Only problem is, you have to wait for eternity to exhaust all those options.
This is just so blatant, I couldn't resist. The statement made was essentially "A" could not be explained by "B". You changed that to essentially "A" could not be explained. Well bread pudding does not explain why roses are red. I don't think that requires proof, except maybe to you.
P.S. I'll bet you confuse all and any
Oh? Can you prove that?
A lot of folks love to toss that statement around. But simply to look at it is to recognize the claim as a very stupid one. Simple logic will tell you that it's either wrong, or unproveable.
As it happens, as a general statement it is wrong. For example, in math it is quite common to prove negatives (e.g., "non-existence" statements) by, for example, assuming the positive opposite and demonstrating that it leads to a contradiction. Also, it's quite obvious that a negative statement such as "there are no green mammals" can be refuted by the simple expedient of producing a green mammal.