{
  "trace_version": "proof-trace-v1",
  "receipt_hash": "b9e3ed9d2456aff7773a8aa63c814a443e4fd9ace06630c76776b25ba0885d37",
  "theorem_name": "cases_and_elim",
  "status": "verified",
  "tactic_count": 3,
  "total_elapsed_ms": 3345,
  "steps": [
    {
      "step": 0,
      "tactic": "cases h",
      "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,
      "hypothesis_count_after": 0,
      "operator_count_before": 0,
      "operator_count_after": 0,
      "delta": {
        "symbol_delta": 0,
        "hypothesis_delta": 0,
        "goal_count_delta": 0
      },
      "elapsed_ms": 1072,
      "result": "failure",
      "stdout_preview": "",
      "stderr_preview": ""
    },
    {
      "step": 1,
      "tactic": "apply h2",
      "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,
      "hypothesis_count_after": 0,
      "operator_count_before": 0,
      "operator_count_after": 0,
      "delta": {
        "symbol_delta": 0,
        "hypothesis_delta": 0,
        "goal_count_delta": 0
      },
      "elapsed_ms": 1148,
      "result": "failure",
      "stdout_preview": "",
      "stderr_preview": ""
    },
    {
      "step": 2,
      "tactic": "assumption",
      "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,
      "hypothesis_count_after": 0,
      "operator_count_before": 0,
      "operator_count_after": 0,
      "delta": {
        "symbol_delta": 0,
        "hypothesis_delta": 0,
        "goal_count_delta": 0
      },
      "elapsed_ms": 1125,
      "result": "success",
      "stdout_preview": "",
      "stderr_preview": ""
    }
  ],
  "goal_transition_matrix": [
    [
      3
    ]
  ],
  "flexure_joints": [
    {
      "step": 0,
      "tactic": "cases h",
      "tactic_family": "case_analysis",
      "delta_score": 0,
      "delta": {
        "symbol_delta": 0,
        "hypothesis_delta": 0,
        "goal_count_delta": 0
      },
      "result": "failure"
    },
    {
      "step": 1,
      "tactic": "apply h2",
      "tactic_family": "discharge",
      "delta_score": 0,
      "delta": {
        "symbol_delta": 0,
        "hypothesis_delta": 0,
        "goal_count_delta": 0
      },
      "result": "failure"
    },
    {
      "step": 2,
      "tactic": "assumption",
      "tactic_family": "unknown",
      "delta_score": 0,
      "delta": {
        "symbol_delta": 0,
        "hypothesis_delta": 0,
        "goal_count_delta": 0
      },
      "result": "success"
    }
  ]
}