Although GPT 5.6 Sol Ultra successfully generated a proof for the Cycle Double Cover Conjecture, readers observe that the feat required extensive prompt engineering and explicit strategy guidance rather than independent reasoning. Discussants highlight that current large language models lack true volition, relying heavily on human direction and extended thinking modes to navigate complex mathematical tasks. Ultimately, they emphasize that these systems remain statistical predictors prone to hallucination, resolving complex logic through probability rather than genuine understanding.