As my "sensibility" for such things is comparable to cygnusdei (just kind of non-existent) I have no proofe for anything "supernatural" (maybe not a good word for what I think is meant). But was the earth a discworld as science of that time said it is ?I have not and I do not 'believe' in anything that is not scientifically observable. There are many, many things that have been proven to be real that I have little to no knowledge of and I do not need the billions upon billions of 'unprovable possibilities' diluting reality any further.
Give me proof and I'll adjust my world view accordingly, as I must. Such is the fate of one who subscribes to science.
If you open your mind too much, your brain will fall out.
EDIT: I say this having been raised catholic and having spent most of my teen years 'studying' demonology and myriad religions, as an edgy teen goth is supposed to. Even tried my hand at Wiccanism for a year of so. I truly believed for a while but eventually the lack of observable truth just killed it. That, and the cases of borderline insanity such beliefs wreaked on some of my acqaintances made me realize blind faith is dangerous as hell.
I am no scientist but interested for example in what newest physical experiments in quantum physics continually find out. And even if this is very simplified summarized for me it seems to proof that the thousand years old chinese philosophy of Ying and Yang (and all whats behind this) seems to be more true then our 0/1, yes or no, black or white.
And for the experiences: if you (I have often) have seen what fajin could do in reality and for me there is simply NO physical explanation for it (the power that the body builds up when sneezing comes as close as I have found so far but even that dont moves hundreds of kilos of people with nearly NO "physical" energy or movement put into it) even if it USES and FOLLOWS all physical laws cleverly its hard to doubt that there are things/processes working since thousand of years and still not explained. And I dont talk about Bruce Lee in a video, I talk about kind of daily experiences in Tai Chi training. Sadly I have not come far enough to being able to use this but I have seen my master and at least two of his best students doing this regularly (even if one of him still is convinced that its physics only), not for show or showing how great they are but simply cause its part of self-defense.
So if this is "unexplained" reality, what else is there ? I am in general skeptical against things I have not experienced in the way like I did with fajin and my master tells us the same (for example he says that its bullshit when "masters" claim to move people threw the air without even touching them), but I am kind of open-minded for it (even if not sensible ).