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  "selected_prompts": [
    {
      "timestamp": "2026-10-06T20:41:37.220Z",
      "text": "\n\n**You need to first search the literature extensively to identify potentially useful results, without restricting yourself to the original area. Search mathlib/other source what package might already exists. Also search the literature, is there any other way to by pass the current blue print, that is easy short cut for lean to formalize this task, but still lead to the proof of the KLS conjecture exactly. You can adaptively adjust the blue print. Just make the lean formalization task proper in lean. I trust in you. You can do this.**\n\n\n\n"
    },
    {
      "timestamp": "2026-10-06T20:59:53.081Z",
      "text": "I remove the speed mode, now just use gpt-6.1 sol ultra normal speed!\n"
    },
    {
      "timestamp": "2026-10-07T06:07:05.821Z",
      "text": "Now I use 6.1 sol max, not untra now.\n"
    },
    {
      "timestamp": "2026-10-07T13:48:42.433Z",
      "text": "”The exact universal optimum remains unresolved.“ this is not a goal, we do not need optimal constant for now. \n"
    }
  ]
}