Yep and yep. Did it on two models and by myself — you know if you ask them to cite similar problems (and their sources) I’ll think you’ll quickly realize how derivative your question is in both question and solution. Given that you’re now accusing me of arguing in bad faith despite the fact I’ve listened to you repeat the same point with the only proof being “this question is a head scratcher for me; must be for everyone else therefore it proves that one must reason” makes me think you don’t actually want to discuss something; you think you can “prove” something and seem to be more interested in that. Given that I say go publish your paper about your impossible question and let the rest of the community review it if you feel like you need to prove something. So far the only thing you’ve proven to me is that you’re not interested in a good-faith discussion; just repeating your dogma and hoping someone concedes.

Also generalization is not always reasoning: I can make a generalization that is not reasoned; I can also make one that is poorly reasoned. Generalization is considered well-defined in regards to reasoning: https://www.comm.pitt.edu/reasoning

Your example still fails to actually demonstrate reasoning given its highly derivative nature, though.