I asked for an example of this taking place, not for a demonstration.
To an onlooker listening to all sides....you giving an "example" of your position is in no way "trivial".
This is not a rational request for evidence. If me doing exactly what you are hypothesizing to be impossible isn't an adequate example, what is? You don't even grasp the obvious consequences to everything you think you know if what I asserted was wrong.
I will let you pick any source of randomness. It doesn't really matter as they will all produce any finite program in a finite amount of time. I can't believe that people are even arguing this point. It is ridiculous and founded in ignorance. People have done this at various times for decades (mostly at universities to prove a point), but it is a worthless proof because we can trivially prove it mathematically. So do you really question whether or not 2+2=4? How do you get on in the world? The mathematics of it is blatantly self-evident to me but apparently not to you. Perhaps you could take the time to read up on some elementary theorems of the subject we are talking about rather than insisting such things aren't so without the slightest clue one way or the other. Your mathematical position insists that no one can ever win the lottery, yet people do. The necessary consequence of the opposite of what I am asserting is that no one could ever win the lottery. By the exact same theorem.