{
  "n": 28,
  "recovered": 15,
  "results": [
    {
      "name": "rw_missing_dir_1",
      "obstruction": "missing_rewrite_direction",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "rw_reverse_simp",
          "patch": "rw [\u2190 {'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_n",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "rw_forward_simp",
          "patch": "rw [{'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_nat",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "rw_reverse_rfl",
          "patch": "rw [\u2190 {'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_n",
          "ok": false
        },
        {
          "attempt": 4,
          "tag": "rw_forward_rfl",
          "patch": "rw [{'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_nat",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "rw_reverse_simp",
        "patch": "rw [\u2190 {'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_n",
        "ok": false
      },
      "n_candidates": 4
    },
    {
      "name": "rw_missing_dir_2",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
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      },
      "n_candidates": 5
    },
    {
      "name": "rw_missing_dir_3",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
        "ok": true
      },
      "n_candidates": 5
    },
    {
      "name": "rw_missing_dir_4",
      "obstruction": "missing_rewrite_direction",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "rw_reverse_simp",
          "patch": "rw [\u2190 {'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_n",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "rw_forward_simp",
          "patch": "rw [{'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_nat",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "rw_reverse_rfl",
          "patch": "rw [\u2190 {'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_n",
          "ok": false
        },
        {
          "attempt": 4,
          "tag": "rw_forward_rfl",
          "patch": "rw [{'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_nat",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "rw_reverse_simp",
        "patch": "rw [\u2190 {'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_n",
        "ok": false
      },
      "n_candidates": 4
    },
    {
      "name": "rw_missing_dir_5",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
        "ok": true
      },
      "n_candidates": 5
    },
    {
      "name": "rw_missing_dir_6",
      "obstruction": "missing_rewrite_direction",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "rw_reverse_simp",
          "patch": "rw [\u2190 {'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_n",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "rw_forward_simp",
          "patch": "rw [{'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_nat",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "rw_reverse_rfl",
          "patch": "rw [\u2190 {'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_n",
          "ok": false
        },
        {
          "attempt": 4,
          "tag": "rw_forward_rfl",
          "patch": "rw [{'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_nat",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "rw_reverse_simp",
        "patch": "rw [\u2190 {'name': 'h', 'type': 'a = b', 'is_prop': False, 'is_n",
        "ok": false
      },
      "n_candidates": 4
    },
    {
      "name": "rw_missing_dir_7",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
        "ok": true
      },
      "n_candidates": 5
    },
    {
      "name": "missing_assume_1",
      "obstruction": "missing_assumption_bridge",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "apply_exact",
          "patch": "apply hAB\n  exact hA",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "exact_apply",
          "patch": "exact hAB hA",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 2,
        "tag": "exact_apply",
        "patch": "exact hAB hA",
        "ok": true
      },
      "n_candidates": 5
    },
    {
      "name": "missing_assume_2",
      "obstruction": "missing_assumption_bridge",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "apply_exact",
          "patch": "apply hAB\n  exact hA",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "exact_apply",
          "patch": "exact hAB hA",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "apply_exact_gen",
          "patch": "apply hAB\n  exact A",
          "ok": false
        },
        {
          "attempt": 4,
          "tag": "apply_exact_gen",
          "patch": "apply hAB\n  exact B",
          "ok": false
        },
        {
          "attempt": 5,
          "tag": "apply_exact_gen",
          "patch": "apply hAB\n  exact C",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "apply_exact",
        "patch": "apply hAB\n  exact hA",
        "ok": false
      },
      "n_candidates": 5
    },
    {
      "name": "missing_assume_3",
      "obstruction": "missing_destructuring",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "dot_left",
          "patch": "exact h.left",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "dot_left",
        "patch": "exact h.left",
        "ok": true
      },
      "n_candidates": 4
    },
    {
      "name": "missing_assume_4",
      "obstruction": "case_split_missing",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "case_same",
          "patch": "cases h with\n  | inl h => left; exact h\n  | inr h => right; ",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "case_same",
        "patch": "cases h with\n  | inl h => left; exact h\n  | inr h => right; ",
        "ok": true
      },
      "n_candidates": 2
    },
    {
      "name": "missing_assume_5",
      "obstruction": "missing_assumption_bridge",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "apply_exact",
          "patch": "apply h\n  exact hA",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "exact_apply",
          "patch": "exact h hA",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 2,
        "tag": "exact_apply",
        "patch": "exact h hA",
        "ok": true
      },
      "n_candidates": 5
    },
    {
      "name": "missing_assume_6",
      "obstruction": "intro_chain_missing",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "intro_first",
          "patch": "intro h0\n  intro h1\n  exact h0",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "intro_last",
          "patch": "intro h0\n  intro h1\n  exact h1",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "intro_prop",
          "patch": "intro h0\n  intro h1\n  exact A",
          "ok": false
        },
        {
          "attempt": 4,
          "tag": "intro_single",
          "patch": "intro h\n  exact h",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "intro_first",
        "patch": "intro h0\n  intro h1\n  exact h0",
        "ok": false
      },
      "n_candidates": 4
    },
    {
      "name": "missing_assume_7",
      "obstruction": "intro_chain_missing",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "intro_first",
          "patch": "intro h0\n  exact h0",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "intro_prop",
          "patch": "intro h0\n  exact P",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "intro_single",
          "patch": "intro h\n  exact h",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "intro_first",
        "patch": "intro h0\n  exact h0",
        "ok": false
      },
      "n_candidates": 3
    },
    {
      "name": "arith_gap_1",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
        "ok": true
      },
      "n_candidates": 4
    },
    {
      "name": "arith_gap_2",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
        "ok": true
      },
      "n_candidates": 4
    },
    {
      "name": "arith_gap_3",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "norm_num",
          "patch": "norm_num",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "rw_omega",
          "patch": "rw [{'name': 'h', 'type': 'a + b = b + a', 'is_prop': False,",
          "ok": false
        },
        {
          "attempt": 4,
          "tag": "simp_omega",
          "patch": "simp\n  omega",
          "ok": false
        },
        {
          "attempt": 5,
          "tag": "simp_norm_num",
          "patch": "simp\n  norm_num",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
        "ok": false
      },
      "n_candidates": 5
    },
    {
      "name": "arith_gap_4",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
        "ok": true
      },
      "n_candidates": 4
    },
    {
      "name": "arith_gap_5",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "norm_num",
          "patch": "norm_num",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "simp_omega",
          "patch": "simp\n  omega",
          "ok": false
        },
        {
          "attempt": 4,
          "tag": "simp_norm_num",
          "patch": "simp\n  norm_num",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
        "ok": false
      },
      "n_candidates": 4
    },
    {
      "name": "arith_gap_6",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
        "ok": true
      },
      "n_candidates": 4
    },
    {
      "name": "arith_gap_8",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "norm_num",
          "patch": "norm_num",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "simp_omega",
          "patch": "simp\n  omega",
          "ok": false
        },
        {
          "attempt": 4,
          "tag": "simp_norm_num",
          "patch": "simp\n  norm_num",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
        "ok": false
      },
      "n_candidates": 4
    },
    {
      "name": "arith_gap_9",
      "obstruction": "arithmetic_gap",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "omega",
          "patch": "omega",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "omega",
        "patch": "omega",
        "ok": true
      },
      "n_candidates": 4
    },
    {
      "name": "case_split_1",
      "obstruction": "case_split_missing",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "case_swap",
          "patch": "cases h with\n  | inl h => right; exact h\n  | inr h => left; ",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "case_swap",
        "patch": "cases h with\n  | inl h => right; exact h\n  | inr h => left; ",
        "ok": true
      },
      "n_candidates": 2
    },
    {
      "name": "case_split_2",
      "obstruction": "missing_destructuring",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "dot_left",
          "patch": "exact h.left",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "dot_right",
          "patch": "exact h.right",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "cases_and_elim",
          "patch": "cases h with\n  | intro h1 h2 => exact h1",
          "ok": false
        },
        {
          "attempt": 4,
          "tag": "rcases_elim",
          "patch": "rcases h with \u27e8h1, h2\u27e9\n  exact h1",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "dot_left",
        "patch": "exact h.left",
        "ok": false
      },
      "n_candidates": 4
    },
    {
      "name": "case_split_3",
      "obstruction": "constructor_missing",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "constructor_exact",
          "patch": "constructor\n  \u00b7 exact hA",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "constructor_exact",
          "patch": "constructor\n  \u00b7 exact hB",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "constructor_assumption",
          "patch": "constructor\n  \u00b7 assumption\n  \u00b7 assumption",
          "ok": false
        },
        {
          "attempt": 4,
          "tag": "constructor_props",
          "patch": "constructor\n  \u00b7 exact A\n  \u00b7 exact B",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "constructor_exact",
        "patch": "constructor\n  \u00b7 exact hA",
        "ok": false
      },
      "n_candidates": 4
    },
    {
      "name": "case_split_4",
      "obstruction": "case_split_missing",
      "initial_status": "failed",
      "recovered": true,
      "attempts": [
        {
          "attempt": 1,
          "tag": "case_same",
          "patch": "cases h with\n  | inl h => left; exact h\n  | inr h => right; ",
          "ok": true
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "case_same",
        "patch": "cases h with\n  | inl h => left; exact h\n  | inr h => right; ",
        "ok": true
      },
      "n_candidates": 2
    },
    {
      "name": "case_split_5",
      "obstruction": "case_split_missing",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [],
      "best_attempt": null,
      "n_candidates": 0
    },
    {
      "name": "case_split_6",
      "obstruction": "constructor_missing",
      "initial_status": "failed",
      "recovered": false,
      "attempts": [
        {
          "attempt": 1,
          "tag": "constructor_exact",
          "patch": "constructor\n  \u00b7 exact hA",
          "ok": false
        },
        {
          "attempt": 2,
          "tag": "constructor_exact",
          "patch": "constructor\n  \u00b7 exact hB",
          "ok": false
        },
        {
          "attempt": 3,
          "tag": "constructor_assumption",
          "patch": "constructor\n  \u00b7 assumption\n  \u00b7 assumption",
          "ok": false
        },
        {
          "attempt": 4,
          "tag": "constructor_props",
          "patch": "constructor\n  \u00b7 exact A\n  \u00b7 exact B",
          "ok": false
        }
      ],
      "best_attempt": {
        "attempt": 1,
        "tag": "constructor_exact",
        "patch": "constructor\n  \u00b7 exact hA",
        "ok": false
      },
      "n_candidates": 4
    }
  ]
}