{
  "trace_version": "proof-trace-v1",
  "receipt_hash": "aaf9644978fbd40566dc96f63d1cf70c7086d5eaedaeb70fdb348ee3228a430e",
  "theorem_name": "induct_mul_zero",
  "status": "failed",
  "tactic_count": 1,
  "total_elapsed_ms": 1076,
  "steps": [
    {
      "step": 0,
      "tactic": "induction n with | zero => simp | succ k ih => simp [mul_add, add_comm, ih]",
      "before_goal_hash": "01ba4719c80b6fe911b091a7c05124b64eeece964e09c058ef8f9805daca546b",
      "after_goal_hash": "01ba4719c80b6fe911b091a7c05124b64eeece964e09c058ef8f9805daca546b",
      "before_goal_text": "\n",
      "after_goal_text": "\n",
      "goal_count_before": 1,
      "goal_count_after": 1,
      "hypothesis_count_before": 0,
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      "operator_count_before": 0,
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      "delta": {
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      "elapsed_ms": 1076,
      "result": "failure",
      "stdout_preview": "",
      "stderr_preview": ""
    }
  ],
  "goal_transition_matrix": [
    [
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  ],
  "flexure_joints": [
    {
      "step": 0,
      "tactic": "induction n with | zero => simp | succ k ih => simp [mul_add, add_comm, ih]",
      "tactic_family": "normalization",
      "delta_score": 0,
      "delta": {
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        "goal_count_delta": 0
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      "result": "failure"
    }
  ]
}