I am asking you to make good your claim that it is one of the three.
Try not to be silly, Vlad. The principle is easy enough to see and rests only on logic.
Not only are human minds far too complex to analyse at that level of detail, but it would be ridiculously improbable that any two minds would be the same anyway, and in any case, we don't have a theory of everything yet, so we couldn't do it even if it was much simpler.
It's actually an open question as to whether the universe is deterministic or not.
Oh, and just to add: and if we have souls, then we'd have no idea how to analyse them anyway, but unless you suggest that they can defy logic, then the principle must apply to them too.