Or, it has a deep conceptual understanding of its input data, but, it works similar to humans, and during its reasoning it pulls out some facts from memory or h

Or, it has a deep conceptual understanding of its input data, but, it works similar to humans, and during its reasoning it pulls out some facts from memory or hand-waving, which can be wrong. No mathematician would make this exact mistake because it looks ridiculous, but for example I made similar mistakes multiple times, claiming low numbers prime or not prime wrongly during a reasoning. Especially when working at night.