{
  "model_id": "EPFL-LARA/lean-standard-prover-qwen3-8b-grpo",
  "backend": "transformers",
  "input": "import Mathlib\n\ntheorem demo (n : ℕ) : n + 0 = n := by sorry\n",
  "prompt": "Solve the following problem with Lean 4 code and explanatory comments:\n\n```lean4\nimport Mathlib\n\n\ntheorem demo (n : ℕ) : n + 0 = n := by sorry\n```\n\nReplace every sorry statement with an appropriate proof. Provide a complete solution in the lean4 code block.\n",
  "response": "The complete typechecked Lean 4 proof is:\n\n```lean4\nimport Mathlib\n\n\ntheorem demo (n : ℕ) : n + 0 = n := by \n  \n  induction n with\n  \n  | zero => rfl\n  \n  | succ n ih => simp_all\n```\n",
  "lean_code": "import Mathlib\n\n\ntheorem demo (n : ℕ) : n + 0 = n := by \n  \n  induction n with\n  \n  | zero => rfl\n  \n  | succ n ih => simp_all",
  "generation": {
    "seed": 0,
    "temperature": 0.3,
    "top_p": 0.95,
    "top_k": 0,
    "min_p": 0.0,
    "max_new_tokens": 2048,
    "add_special_tokens": false
  },
  "environment": {
    "torch": "2.9.0+cu129",
    "transformers": "4.57.3",
    "gpu": "NVIDIA H100 80GB",
    "dtype": "bfloat16"
  },
  "verification": {
    "lean_version": "4.15.0",
    "compiled": true,
    "original_theorem_type_checked": true,
    "contains_sorry": false
  },
  "weight_sha256": {
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    "model-00002-of-00004.safetensors": "576d535fbdbbc4d8ff4f5c2f1edf036ce56a8b48a5944d9d335c7f465bc03e59",
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  }
}