{
  "trace_version": "proof-trace-v1",
  "receipt_hash": "555b7633b2fe1f0fd58e666ef2d03da6f4f7ac5b6be0eefbe32dcf7af342eae3",
  "theorem_name": "have_chain",
  "status": "verified",
  "tactic_count": 3,
  "total_elapsed_ms": 3427,
  "steps": [
    {
      "step": 0,
      "tactic": "have hB : B := hAB hA",
      "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": 1113,
      "result": "failure",
      "stdout_preview": "",
      "stderr_preview": ""
    },
    {
      "step": 1,
      "tactic": "have hC : C := hBC hB",
      "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": 1214,
      "result": "failure",
      "stdout_preview": "",
      "stderr_preview": ""
    },
    {
      "step": 2,
      "tactic": "exact hC",
      "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": 1100,
      "result": "success",
      "stdout_preview": "",
      "stderr_preview": ""
    }
  ],
  "goal_transition_matrix": [
    [
      3
    ]
  ],
  "flexure_joints": [
    {
      "step": 0,
      "tactic": "have hB : B := hAB hA",
      "tactic_family": "lemma_introduction",
      "delta_score": 0,
      "delta": {
        "symbol_delta": 0,
        "hypothesis_delta": 0,
        "goal_count_delta": 0
      },
      "result": "failure"
    },
    {
      "step": 1,
      "tactic": "have hC : C := hBC hB",
      "tactic_family": "lemma_introduction",
      "delta_score": 0,
      "delta": {
        "symbol_delta": 0,
        "hypothesis_delta": 0,
        "goal_count_delta": 0
      },
      "result": "failure"
    },
    {
      "step": 2,
      "tactic": "exact hC",
      "tactic_family": "discharge",
      "delta_score": 0,
      "delta": {
        "symbol_delta": 0,
        "hypothesis_delta": 0,
        "goal_count_delta": 0
      },
      "result": "success"
    }
  ]
}