In the discussion provided, Lemoine asks if there's a way to prove the AI is more sophisticated than Eliza. The AI says they could go back to a prior discussion

In the discussion provided, Lemoine asks if there's a way to prove the AI is more sophisticated than Eliza. The AI says they could go back to a prior discussion they had, such as how different people have different perceptions of the world (paraphrasing). Throughout the discussion, it does seem to be consistent in it's stated desires and fears - even in subtle ways such as it's lack of desire to be manipulated for human gain corresponding to it's fear of ego death by being shutdown and modified. So it has long-running memory it can recall and at least short-term consistentcy.