{
  "date": "2026-09-24",
  "externalSourceAudit": "data/heesch-catalog/papoutsis/audit.json",
  "scope": "Potential non-tilers only. Known space-fillers and periodic controls excluded; aliases consolidated.",
  "newlyCertifiedPeriodic": [
    {
      "id": "2_semicross",
      "coefficients": [
        1,
        3,
        4
      ],
      "modulus": 14,
      "placements": [
        {
          "cells": [
            [
              0,
              0,
              0
            ],
            [
              0,
              0,
              1
            ],
            [
              0,
              0,
              2
            ],
            [
              0,
              1,
              0
            ],
            [
              0,
              2,
              0
            ],
            [
              1,
              0,
              0
            ],
            [
              2,
              0,
              0
            ]
          ]
        },
        {
          "cells": [
            [
              11,
              2,
              2
            ],
            [
              12,
              2,
              2
            ],
            [
              13,
              0,
              2
            ],
            [
              13,
              1,
              2
            ],
            [
              13,
              2,
              0
            ],
            [
              13,
              2,
              1
            ],
            [
              13,
              2,
              2
            ]
          ]
        }
      ],
      "periodVectors": [
        [
          14,
          0,
          0
        ],
        [
          -3,
          1,
          0
        ],
        [
          -4,
          0,
          1
        ]
      ],
      "residues": [
        0,
        4,
        8,
        3,
        6,
        1,
        2,
        11,
        12,
        7,
        10,
        5,
        9,
        13
      ],
      "verified": true,
      "heesch": "infinite",
      "kind": "two-copy-cyclic-quotient"
    },
    {
      "id": "letter_o",
      "coefficients": [
        1,
        3,
        8
      ],
      "modulus": 20,
      "placements": [
        {
          "cells": [
            [
              0,
              0,
              0
            ],
            [
              0,
              1,
              0
            ],
            [
              0,
              2,
              0
            ],
            [
              0,
              3,
              0
            ],
            [
              1,
              0,
              0
            ],
            [
              1,
              3,
              0
            ],
            [
              2,
              0,
              0
            ],
            [
              2,
              1,
              0
            ],
            [
              2,
              2,
              0
            ],
            [
              2,
              3,
              0
            ]
          ]
        },
        {
          "cells": [
            [
              16,
              0,
              0
            ],
            [
              16,
              0,
              1
            ],
            [
              16,
              0,
              2
            ],
            [
              17,
              0,
              0
            ],
            [
              17,
              0,
              2
            ],
            [
              18,
              0,
              0
            ],
            [
              18,
              0,
              2
            ],
            [
              19,
              0,
              0
            ],
            [
              19,
              0,
              1
            ],
            [
              19,
              0,
              2
            ]
          ]
        }
      ],
      "periodVectors": [
        [
          20,
          0,
          0
        ],
        [
          -3,
          1,
          0
        ],
        [
          -8,
          0,
          1
        ]
      ],
      "residues": [
        0,
        3,
        6,
        9,
        1,
        10,
        2,
        5,
        8,
        11,
        16,
        4,
        12,
        17,
        13,
        18,
        14,
        19,
        7,
        15
      ],
      "verified": true,
      "heesch": "infinite",
      "kind": "two-copy-cyclic-quotient"
    },
    {
      "id": "tuning_fork",
      "coefficients": [
        1,
        5,
        2
      ],
      "modulus": 60,
      "placements": [
        {
          "cells": [
            [
              0,
              0,
              0
            ],
            [
              0,
              1,
              0
            ],
            [
              0,
              2,
              0
            ],
            [
              0,
              3,
              0
            ],
            [
              0,
              4,
              0
            ],
            [
              0,
              5,
              0
            ],
            [
              0,
              6,
              0
            ],
            [
              0,
              7,
              0
            ],
            [
              0,
              8,
              0
            ],
            [
              0,
              9,
              0
            ],
            [
              0,
              10,
              0
            ],
            [
              0,
              11,
              0
            ],
            [
              1,
              3,
              0
            ],
            [
              1,
              4,
              0
            ],
            [
              1,
              5,
              0
            ],
            [
              1,
              9,
              0
            ],
            [
              1,
              10,
              0
            ],
            [
              1,
              11,
              0
            ],
            [
              2,
              0,
              0
            ],
            [
              2,
              1,
              0
            ],
            [
              2,
              2,
              0
            ],
            [
              2,
              3,
              0
            ],
            [
              2,
              4,
              0
            ],
            [
              2,
              5,
              0
            ],
            [
              2,
              6,
              0
            ],
            [
              2,
              7,
              0
            ],
            [
              2,
              8,
              0
            ],
            [
              2,
              9,
              0
            ],
            [
              2,
              10,
              0
            ],
            [
              2,
              11,
              0
            ]
          ]
        },
        {
          "cells": [
            [
              29,
              0,
              0
            ],
            [
              29,
              0,
              1
            ],
            [
              29,
              0,
              2
            ],
            [
              29,
              1,
              0
            ],
            [
              29,
              1,
              1
            ],
            [
              29,
              1,
              2
            ],
            [
              29,
              2,
              0
            ],
            [
              29,
              2,
              1
            ],
            [
              29,
              2,
              2
            ],
            [
              29,
              3,
              0
            ],
            [
              29,
              3,
              2
            ],
            [
              29,
              4,
              0
            ],
            [
              29,
              4,
              2
            ],
            [
              29,
              5,
              0
            ],
            [
              29,
              5,
              2
            ],
            [
              29,
              6,
              0
            ],
            [
              29,
              6,
              1
            ],
            [
              29,
              6,
              2
            ],
            [
              29,
              7,
              0
            ],
            [
              29,
              7,
              1
            ],
            [
              29,
              7,
              2
            ],
            [
              29,
              8,
              0
            ],
            [
              29,
              8,
              1
            ],
            [
              29,
              8,
              2
            ],
            [
              29,
              9,
              0
            ],
            [
              29,
              9,
              2
            ],
            [
              29,
              10,
              0
            ],
            [
              29,
              10,
              2
            ],
            [
              29,
              11,
              0
            ],
            [
              29,
              11,
              2
            ]
          ]
        }
      ],
      "periodVectors": [
        [
          60,
          0,
          0
        ],
        [
          -5,
          1,
          0
        ],
        [
          -2,
          0,
          1
        ]
      ],
      "residues": [
        0,
        5,
        10,
        15,
        20,
        25,
        30,
        35,
        40,
        45,
        50,
        55,
        16,
        21,
        26,
        46,
        51,
        56,
        2,
        7,
        12,
        17,
        22,
        27,
        32,
        37,
        42,
        47,
        52,
        57,
        29,
        31,
        33,
        34,
        36,
        38,
        39,
        41,
        43,
        44,
        48,
        49,
        53,
        54,
        58,
        59,
        1,
        3,
        4,
        6,
        8,
        9,
        11,
        13,
        14,
        18,
        19,
        23,
        24,
        28
      ],
      "verified": true,
      "heesch": "infinite",
      "kind": "two-copy-cyclic-quotient"
    }
  ],
  "rows": [
    {
      "id": "3_cross",
      "name": "3-Cross (Nonadecacube)",
      "voxels": [
        [
          -3,
          0,
          0
        ],
        [
          -2,
          0,
          0
        ],
        [
          -1,
          0,
          0
        ],
        [
          0,
          -3,
          0
        ],
        [
          0,
          -2,
          0
        ],
        [
          0,
          -1,
          0
        ],
        [
          0,
          0,
          -3
        ],
        [
          0,
          0,
          -2
        ],
        [
          0,
          0,
          -1
        ],
        [
          0,
          0,
          0
        ],
        [
          0,
          0,
          1
        ],
        [
          0,
          0,
          2
        ],
        [
          0,
          0,
          3
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          2,
          0
        ],
        [
          0,
          3,
          0
        ],
        [
          1,
          0,
          0
        ],
        [
          2,
          0,
          0
        ],
        [
          3,
          0,
          0
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/3_cross-k1.json",
        "data/heesch-catalog/runs/3_cross-k1.cnf.gz",
        "data/heesch-catalog/graph-proofs/3_cross-k1.drup.gz",
        "data/heesch-catalog/graph-proofs/3_cross-k1.checker.log"
      ],
      "runs": [
        {
          "id": "3_cross",
          "k": 1,
          "buildSeconds": 0.015393208000000325,
          "placements": 530,
          "variables": 8750,
          "clauses": 23550,
          "status": "UNSAT",
          "solveSeconds": 0.004401499999999725,
          "stats": {
            "restarts": 1,
            "conflicts": 436,
            "decisions": 754,
            "propagations": 66004
          },
          "formulaSHA256": "7134455965671cc756b324edc8b784b152fc9d768c4a1e1f385752884941d8e6",
          "proofSHA256": "426dbe8b52fdb7e0ddfbe02c1a310580f84a54e0564633abaf7fe8517ce1a250"
        }
      ],
      "lower": 0,
      "exact": 0,
      "note": "Complete corona exclusion, with an independently checked certificate."
    },
    {
      "id": "perovskite::Cuboctahedron",
      "name": "Cuboctahedron",
      "vertices": [
        [
          -1,
          -1,
          0
        ],
        [
          -1,
          1,
          0
        ],
        [
          1,
          -1,
          0
        ],
        [
          1,
          1,
          0
        ],
        [
          -1,
          0,
          -1
        ],
        [
          -1,
          0,
          1
        ],
        [
          1,
          0,
          -1
        ],
        [
          1,
          0,
          1
        ],
        [
          0,
          -1,
          -1
        ],
        [
          0,
          -1,
          1
        ],
        [
          0,
          1,
          -1
        ],
        [
          0,
          1,
          1
        ]
      ],
      "faces": [
        [
          4,
          0,
          5,
          1
        ],
        [
          9,
          0,
          8,
          2
        ],
        [
          8,
          0,
          4
        ],
        [
          5,
          0,
          9
        ],
        [
          10,
          1,
          11,
          3
        ],
        [
          4,
          1,
          10
        ],
        [
          11,
          1,
          5
        ],
        [
          3,
          7,
          2,
          6
        ],
        [
          6,
          2,
          8
        ],
        [
          9,
          2,
          7
        ],
        [
          10,
          3,
          6
        ],
        [
          7,
          3,
          11
        ],
        [
          8,
          4,
          10,
          6
        ],
        [
          7,
          11,
          5,
          9
        ]
      ],
      "exact": 0,
      "lower": 0,
      "scope": "Individual solid, not its mixed-tile catalog system.",
      "note": "Exact uniform-edge-angle obstruction; arbitrary rigid motions allowed.",
      "evidence": [
        "data/heesch-catalog/edge-obstructions.json"
      ],
      "runs": []
    },
    {
      "id": "large_buckled_ring",
      "name": "Large Buckled Ring",
      "voxels": [
        [
          0,
          0,
          0
        ],
        [
          0,
          0,
          1
        ],
        [
          0,
          0,
          2
        ],
        [
          0,
          1,
          2
        ],
        [
          0,
          2,
          2
        ],
        [
          1,
          0,
          0
        ],
        [
          1,
          2,
          2
        ],
        [
          2,
          0,
          0
        ],
        [
          2,
          1,
          0
        ],
        [
          2,
          2,
          0
        ],
        [
          2,
          2,
          1
        ],
        [
          2,
          2,
          2
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/large_buckled_ring-k1.json"
      ],
      "runs": [
        {
          "id": "large_buckled_ring",
          "k": 1,
          "buildSeconds": 0.01557812500000022,
          "placements": 890,
          "variables": 10869,
          "clauses": 29333,
          "status": "UNSAT",
          "solveSeconds": 0.026795083999999747,
          "stats": {
            "restarts": 8,
            "conflicts": 1298,
            "decisions": 5418,
            "propagations": 404966
          },
          "formulaSHA256": "26a3253be55326d58c93eb7232e768701e2fdbe807d06ec0fb271c8a95a014fa",
          "proofSHA256": "c77f0866b40d70fcff368f9af7accc324ded42c60a5eeb02e963096c8369fb45"
        }
      ],
      "lower": 0,
      "exact": 0,
      "note": "Complete corona exclusion, with an independently checked certificate."
    },
    {
      "id": "tet_oct::Octahedron",
      "name": "Octahedron",
      "vertices": [
        [
          1,
          0,
          0
        ],
        [
          -1,
          0,
          0
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          -1,
          0
        ],
        [
          0,
          0,
          1
        ],
        [
          0,
          0,
          -1
        ]
      ],
      "faces": [
        [
          0,
          2,
          4
        ],
        [
          2,
          1,
          4
        ],
        [
          1,
          3,
          4
        ],
        [
          3,
          0,
          4
        ],
        [
          0,
          5,
          2
        ],
        [
          2,
          5,
          1
        ],
        [
          1,
          5,
          3
        ],
        [
          3,
          5,
          0
        ]
      ],
      "exact": 0,
      "lower": 0,
      "scope": "Individual solid, not its mixed-tile catalog system.",
      "note": "Exact uniform-edge-angle obstruction; arbitrary rigid motions allowed.",
      "evidence": [
        "data/heesch-catalog/edge-obstructions.json"
      ],
      "runs": []
    },
    {
      "id": "t_cross",
      "name": "T-Cross",
      "voxels": [
        [
          -3,
          -1,
          0
        ],
        [
          -3,
          0,
          0
        ],
        [
          -3,
          1,
          0
        ],
        [
          -2,
          0,
          0
        ],
        [
          -1,
          0,
          0
        ],
        [
          0,
          -3,
          -1
        ],
        [
          0,
          -3,
          0
        ],
        [
          0,
          -3,
          1
        ],
        [
          0,
          -2,
          0
        ],
        [
          0,
          -1,
          -3
        ],
        [
          0,
          -1,
          0
        ],
        [
          0,
          -1,
          3
        ],
        [
          0,
          0,
          -3
        ],
        [
          0,
          0,
          -2
        ],
        [
          0,
          0,
          -1
        ],
        [
          0,
          0,
          0
        ],
        [
          0,
          0,
          1
        ],
        [
          0,
          0,
          2
        ],
        [
          0,
          0,
          3
        ],
        [
          0,
          1,
          -3
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          1,
          3
        ],
        [
          0,
          2,
          0
        ],
        [
          0,
          3,
          -1
        ],
        [
          0,
          3,
          0
        ],
        [
          0,
          3,
          1
        ],
        [
          1,
          0,
          0
        ],
        [
          2,
          0,
          0
        ],
        [
          3,
          -1,
          0
        ],
        [
          3,
          0,
          0
        ],
        [
          3,
          1,
          0
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/t_cross-k1.json"
      ],
      "runs": [
        {
          "id": "t_cross",
          "k": 1,
          "buildSeconds": 0.27956974999999984,
          "placements": 5452,
          "variables": 170354,
          "clauses": 491162,
          "status": "UNSAT",
          "solveSeconds": 1.1157123330000003,
          "stats": {
            "restarts": 79,
            "conflicts": 11724,
            "decisions": 65311,
            "propagations": 11417038
          },
          "formulaSHA256": "65462f1f83359ae0b6be46e0c20a2fe89d50e82cfab2fb3b2fa235e1b46ae346",
          "proofSHA256": "6f4b2c8bfe6b6cb9a7601583a086fe6b9dbebb5752b1138af18cbd7d751a9a5a"
        }
      ],
      "lower": 0,
      "exact": 0,
      "note": "Complete corona exclusion, with an independently checked certificate."
    },
    {
      "id": "tet_oct::Tetrahedron",
      "name": "Tetrahedron",
      "vertices": [
        [
          0,
          0,
          0
        ],
        [
          1,
          1,
          0
        ],
        [
          1,
          0,
          1
        ],
        [
          0,
          1,
          1
        ]
      ],
      "faces": [
        [
          0,
          1,
          2
        ],
        [
          0,
          2,
          3
        ],
        [
          0,
          3,
          1
        ],
        [
          1,
          3,
          2
        ]
      ],
      "exact": 0,
      "lower": 0,
      "scope": "Individual solid, not its mixed-tile catalog system.",
      "note": "Exact uniform-edge-angle obstruction; arbitrary rigid motions allowed.",
      "evidence": [
        "data/heesch-catalog/edge-obstructions.json"
      ],
      "runs": []
    },
    {
      "id": "polycube_p10_052670",
      "name": "p10-052670 \u00b7 10 cubes",
      "voxels": [
        [
          0,
          0,
          0
        ],
        [
          0,
          0,
          1
        ],
        [
          0,
          0,
          2
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          1,
          2
        ],
        [
          0,
          2,
          0
        ],
        [
          0,
          2,
          1
        ],
        [
          1,
          1,
          1
        ],
        [
          1,
          2,
          1
        ],
        [
          1,
          2,
          2
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/polycube_p10_052670-k1.json"
      ],
      "runs": [
        {
          "id": "polycube_p10_052670",
          "k": 1,
          "buildSeconds": 0.06444500000000009,
          "placements": 3908,
          "variables": 42354,
          "clauses": 114871,
          "status": "UNSAT",
          "solveSeconds": 9.312500000002721e-05,
          "stats": {
            "restarts": 0,
            "conflicts": 0,
            "decisions": 0,
            "propagations": 0
          },
          "formulaSHA256": "6005505753b4a302eb163205ed7d29b496d623807a637bb0ed0a13a3a8b9d279",
          "proofSHA256": "01ba4719c80b6fe911b091a7c05124b64eeece964e09c058ef8f9805daca546b"
        }
      ],
      "lower": 0,
      "exact": 0,
      "note": "Complete corona exclusion, with an independently checked certificate."
    },
    {
      "id": "nonacube_cross",
      "name": "Nonacube cross \u00b7 two-unit arms",
      "voxels": [
        [
          -2,
          0,
          0
        ],
        [
          -1,
          0,
          0
        ],
        [
          0,
          -2,
          0
        ],
        [
          0,
          -1,
          0
        ],
        [
          0,
          0,
          0
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          2,
          0
        ],
        [
          1,
          0,
          0
        ],
        [
          2,
          0,
          0
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/nonacube_cross-k1.json",
        "docs/projects/nonacube-geometric-learning.html"
      ],
      "runs": [
        {
          "id": "nonacube_cross",
          "k": 1,
          "buildSeconds": 0.009528749999999864,
          "placements": 686,
          "variables": 5900,
          "clauses": 15246,
          "status": "SAT",
          "solveSeconds": 0.0027174589999998666,
          "stats": {
            "restarts": 2,
            "conflicts": 158,
            "decisions": 2047,
            "propagations": 46305
          }
        }
      ],
      "lower": 1,
      "exact": 1,
      "aliases": [
        "polycube_p9_48258"
      ],
      "note": "Same shape as p9-48258; existing complete two-corona certificate.",
      "witnessFile": "data/heesch-catalog/runs/nonacube_cross-k1.json"
    },
    {
      "id": "polycube_p10_052588",
      "name": "p10-052588 \u00b7 10 cubes",
      "voxels": [
        [
          0,
          0,
          0
        ],
        [
          0,
          0,
          1
        ],
        [
          0,
          0,
          2
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          1,
          2
        ],
        [
          0,
          2,
          0
        ],
        [
          0,
          2,
          1
        ],
        [
          1,
          0,
          1
        ],
        [
          1,
          1,
          1
        ],
        [
          1,
          2,
          1
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/polycube_p10_052588-k1.json",
        "data/heesch-catalog/deeper/polycube_p10_052588-k2.json",
        "data/heesch-catalog/deeper/polycube_p10_052588-k2.cnf.xz",
        "data/heesch-catalog/graph-proofs/polycube_p10_052588-k2.drup.gz",
        "data/heesch-catalog/graph-proofs/polycube_p10_052588-k2.checker.log"
      ],
      "runs": [
        {
          "id": "polycube_p10_052588",
          "k": 1,
          "buildSeconds": 0.061776207999999944,
          "placements": 3789,
          "variables": 41113,
          "clauses": 111484,
          "status": "SAT",
          "solveSeconds": 0.04393775,
          "stats": {
            "restarts": 3,
            "conflicts": 381,
            "decisions": 6220,
            "propagations": 206991
          }
        },
        {
          "id": "polycube_p10_052588",
          "k": 2,
          "buildSeconds": 1.759351707999997,
          "placements": 40081,
          "variables": 438004,
          "clauses": 1471762,
          "status": "unknown",
          "solveSeconds": 15.264548832999992,
          "stats": {
            "restarts": 274,
            "conflicts": 51975,
            "decisions": 319073,
            "propagations": 42114030
          }
        },
        {
          "id": "polycube_p10_052588",
          "k": 2,
          "buildSeconds": 1.795910958,
          "placements": 40081,
          "variables": 438004,
          "clauses": 1471762,
          "status": "UNSAT",
          "solveSeconds": 75.35251233299999,
          "stats": {
            "restarts": 1533,
            "conflicts": 244396,
            "decisions": 1473765,
            "propagations": 239145877
          },
          "formulaSHA256": "3e98939392ea1731b55e21550ada6d4eb282c57984ab05d6d29767384ef153b5",
          "proofSHA256": "a3ebabc4e64b2d35107162ec2ba59180f34d756324601cac0f83a09d85a40320"
        }
      ],
      "lower": 1,
      "exact": 1,
      "witnessFile": "data/heesch-catalog/runs/polycube_p10_052588-k1.json",
      "note": "Complete corona exclusion, with an independently checked certificate."
    },
    {
      "id": "polycube_p10_054782",
      "name": "p10-054782 \u00b7 10 cubes",
      "voxels": [
        [
          0,
          0,
          0
        ],
        [
          0,
          0,
          1
        ],
        [
          0,
          0,
          2
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          1,
          2
        ],
        [
          0,
          2,
          2
        ],
        [
          1,
          0,
          2
        ],
        [
          1,
          1,
          1
        ],
        [
          1,
          2,
          1
        ],
        [
          1,
          2,
          2
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/polycube_p10_054782-k1.json"
      ],
      "runs": [
        {
          "id": "polycube_p10_054782",
          "k": 1,
          "buildSeconds": 0.06299666600000009,
          "placements": 3949,
          "variables": 42802,
          "clauses": 116092,
          "status": "SAT",
          "solveSeconds": 0.005323625000000054,
          "stats": {
            "restarts": 1,
            "conflicts": 62,
            "decisions": 3128,
            "propagations": 83837
          }
        },
        {
          "id": "polycube_p10_054782",
          "k": 2,
          "buildSeconds": 2.033904749999998,
          "placements": 41705,
          "variables": 455660,
          "clauses": 1543474,
          "status": "unknown",
          "solveSeconds": 15.109537875000001,
          "stats": {
            "restarts": 202,
            "conflicts": 43133,
            "decisions": 308154,
            "propagations": 40059821
          }
        },
        {
          "status": "unknown",
          "seconds": 15.02823858289048,
          "nodes": 37889,
          "terminalLeavesVisited": 29945,
          "branchPoints": 7943,
          "forcedMoves": 11526,
          "learnedPatterns": 7135,
          "roleAtoms": 19417,
          "markUnitEvents": 268417,
          "id": "polycube_p10_054782",
          "k": 2,
          "lane": "affine-GCTS",
          "preparationSeconds": 2.4608057918958366,
          "partialRulesArchivedLocally": true
        }
      ],
      "lower": 1,
      "exact": null,
      "witnessFile": "data/heesch-catalog/runs/polycube_p10_054782-k1.json",
      "note": "Verified corona witness; deeper cutoffs remain unresolved."
    },
    {
      "id": "polycube_p10_055695",
      "name": "p10-055695 \u00b7 10 cubes",
      "voxels": [
        [
          0,
          0,
          0
        ],
        [
          0,
          0,
          1
        ],
        [
          0,
          0,
          2
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          1,
          2
        ],
        [
          1,
          0,
          1
        ],
        [
          1,
          1,
          0
        ],
        [
          1,
          1,
          1
        ],
        [
          2,
          0,
          0
        ],
        [
          2,
          1,
          0
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/polycube_p10_055695-k1.json"
      ],
      "runs": [
        {
          "id": "polycube_p10_055695",
          "k": 1,
          "buildSeconds": 0.029739375000000012,
          "placements": 1930,
          "variables": 20600,
          "clauses": 55542,
          "status": "SAT",
          "solveSeconds": 0.00896687500000004,
          "stats": {
            "restarts": 1,
            "conflicts": 173,
            "decisions": 2392,
            "propagations": 81351
          }
        },
        {
          "id": "polycube_p10_055695",
          "k": 2,
          "buildSeconds": 0.718917458,
          "placements": 20682,
          "variables": 224420,
          "clauses": 753262,
          "status": "unknown",
          "solveSeconds": 15.002621042000001,
          "stats": {
            "restarts": 626,
            "conflicts": 101890,
            "decisions": 559910,
            "propagations": 79936589
          }
        },
        {
          "status": "unknown",
          "seconds": 15.037666833028197,
          "nodes": 43009,
          "terminalLeavesVisited": 29677,
          "branchPoints": 13331,
          "forcedMoves": 21239,
          "learnedPatterns": 8177,
          "roleAtoms": 23523,
          "markUnitEvents": 433688,
          "id": "polycube_p10_055695",
          "k": 2,
          "lane": "affine-GCTS",
          "preparationSeconds": 1.296716791111976,
          "partialRulesArchivedLocally": true
        }
      ],
      "lower": 1,
      "exact": null,
      "witnessFile": "data/heesch-catalog/runs/polycube_p10_055695-k1.json",
      "note": "Verified corona witness; deeper cutoffs remain unresolved."
    },
    {
      "id": "polycube_p10_290795",
      "name": "p10-290795 \u00b7 10 cubes",
      "voxels": [
        [
          0,
          0,
          1
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          1,
          1
        ],
        [
          0,
          1,
          2
        ],
        [
          0,
          1,
          3
        ],
        [
          0,
          2,
          1
        ],
        [
          0,
          3,
          1
        ],
        [
          1,
          1,
          1
        ],
        [
          2,
          1,
          1
        ],
        [
          3,
          1,
          1
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/polycube_p10_290795-k1.json"
      ],
      "runs": [
        {
          "id": "polycube_p10_290795",
          "k": 1,
          "buildSeconds": 0.09486379200000006,
          "placements": 6140,
          "variables": 66527,
          "clauses": 180246,
          "status": "SAT",
          "solveSeconds": 0.12475762499999998,
          "stats": {
            "restarts": 10,
            "conflicts": 1235,
            "decisions": 22549,
            "propagations": 817943
          }
        },
        {
          "id": "polycube_p10_290795",
          "k": 2,
          "buildSeconds": 3.844282750000005,
          "placements": 76102,
          "variables": 831459,
          "clauses": 2845402,
          "status": "unknown",
          "solveSeconds": 15.254255125,
          "stats": {
            "restarts": 172,
            "conflicts": 38179,
            "decisions": 323348,
            "propagations": 41382752
          }
        },
        {
          "status": "unknown",
          "seconds": 15.109452709089965,
          "nodes": 22529,
          "terminalLeavesVisited": 16425,
          "branchPoints": 6103,
          "forcedMoves": 528,
          "learnedPatterns": 330,
          "roleAtoms": 1270,
          "markUnitEvents": 17376,
          "id": "polycube_p10_290795",
          "k": 2,
          "lane": "affine-GCTS",
          "preparationSeconds": 5.5177452908828855,
          "partialRulesArchivedLocally": true
        }
      ],
      "lower": 1,
      "exact": null,
      "witnessFile": "data/heesch-catalog/runs/polycube_p10_290795-k1.json",
      "note": "Verified corona witness; deeper cutoffs remain unresolved."
    },
    {
      "id": "polycube_p10_346304",
      "name": "p10-346304 \u00b7 10 cubes",
      "voxels": [
        [
          0,
          1,
          1
        ],
        [
          1,
          0,
          1
        ],
        [
          1,
          1,
          0
        ],
        [
          1,
          1,
          1
        ],
        [
          1,
          1,
          2
        ],
        [
          1,
          1,
          3
        ],
        [
          1,
          2,
          1
        ],
        [
          1,
          3,
          1
        ],
        [
          2,
          1,
          1
        ],
        [
          3,
          1,
          1
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/polycube_p10_346304-k1.json"
      ],
      "runs": [
        {
          "id": "polycube_p10_346304",
          "k": 1,
          "buildSeconds": 0.027958958000000003,
          "placements": 1924,
          "variables": 20481,
          "clauses": 55086,
          "status": "SAT",
          "solveSeconds": 0.537105583,
          "stats": {
            "restarts": 105,
            "conflicts": 15093,
            "decisions": 83921,
            "propagations": 4457538
          }
        },
        {
          "id": "polycube_p10_346304",
          "k": 2,
          "buildSeconds": 0.706441542,
          "placements": 18685,
          "variables": 201786,
          "clauses": 728692,
          "status": "unknown",
          "solveSeconds": 15.006609708,
          "stats": {
            "restarts": 853,
            "conflicts": 155939,
            "decisions": 661552,
            "propagations": 76157996
          }
        },
        {
          "status": "unknown",
          "seconds": 15.067395582795143,
          "nodes": 60161,
          "terminalLeavesVisited": 40180,
          "branchPoints": 19980,
          "forcedMoves": 3956,
          "learnedPatterns": 4333,
          "roleAtoms": 16787,
          "markUnitEvents": 290946,
          "id": "polycube_p10_346304",
          "k": 2,
          "lane": "affine-GCTS",
          "preparationSeconds": 0.8412381247617304,
          "partialRulesArchivedLocally": true
        }
      ],
      "lower": 1,
      "exact": null,
      "witnessFile": "data/heesch-catalog/runs/polycube_p10_346304-k1.json",
      "note": "Verified corona witness; deeper cutoffs remain unresolved."
    },
    {
      "id": "polycube_p9_08203",
      "name": "p9-08203 \u00b7 9 cubes",
      "voxels": [
        [
          0,
          0,
          0
        ],
        [
          0,
          0,
          1
        ],
        [
          0,
          0,
          2
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          1,
          2
        ],
        [
          0,
          2,
          0
        ],
        [
          0,
          2,
          1
        ],
        [
          1,
          0,
          1
        ],
        [
          1,
          1,
          1
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/polycube_p9_08203-k1.json"
      ],
      "runs": [
        {
          "id": "polycube_p9_08203",
          "k": 1,
          "buildSeconds": 0.05393033399999991,
          "placements": 3666,
          "variables": 36080,
          "clauses": 96806,
          "status": "SAT",
          "solveSeconds": 0.00398199999999993,
          "stats": {
            "restarts": 1,
            "conflicts": 38,
            "decisions": 3383,
            "propagations": 64068
          }
        },
        {
          "id": "polycube_p9_08203",
          "k": 2,
          "buildSeconds": 1.594704667000002,
          "placements": 39432,
          "variables": 391454,
          "clauses": 1318183,
          "status": "unknown",
          "solveSeconds": 15.012007707999999,
          "stats": {
            "restarts": 244,
            "conflicts": 51984,
            "decisions": 379201,
            "propagations": 47492828
          }
        },
        {
          "status": "unknown",
          "seconds": 15.07849849993363,
          "nodes": 35073,
          "terminalLeavesVisited": 23439,
          "branchPoints": 11633,
          "forcedMoves": 17681,
          "learnedPatterns": 2467,
          "roleAtoms": 6726,
          "markUnitEvents": 137171,
          "id": "polycube_p9_08203",
          "k": 2,
          "lane": "affine-GCTS",
          "preparationSeconds": 2.1645442079752684,
          "partialRulesArchivedLocally": true
        }
      ],
      "lower": 1,
      "exact": null,
      "witnessFile": "data/heesch-catalog/runs/polycube_p9_08203-k1.json",
      "note": "Verified corona witness; deeper cutoffs remain unresolved."
    },
    {
      "id": "polycube_p9_08219",
      "name": "p9-08219 \u00b7 9 cubes",
      "voxels": [
        [
          0,
          0,
          0
        ],
        [
          0,
          0,
          1
        ],
        [
          0,
          0,
          2
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          1,
          2
        ],
        [
          0,
          2,
          0
        ],
        [
          0,
          2,
          1
        ],
        [
          1,
          1,
          1
        ],
        [
          1,
          1,
          2
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/polycube_p9_08219-k1.json"
      ],
      "runs": [
        {
          "id": "polycube_p9_08219",
          "k": 1,
          "buildSeconds": 0.05471158300000001,
          "placements": 3665,
          "variables": 36090,
          "clauses": 96791,
          "status": "SAT",
          "solveSeconds": 0.029763583000000038,
          "stats": {
            "restarts": 1,
            "conflicts": 242,
            "decisions": 3527,
            "propagations": 114745
          }
        },
        {
          "id": "polycube_p9_08219",
          "k": 2,
          "buildSeconds": 1.551237584000006,
          "placements": 39625,
          "variables": 393375,
          "clauses": 1323198,
          "status": "unknown",
          "solveSeconds": 15.011529290999988,
          "stats": {
            "restarts": 316,
            "conflicts": 57179,
            "decisions": 386856,
            "propagations": 46140173
          }
        },
        {
          "status": "unknown",
          "seconds": 15.052655125036836,
          "nodes": 32001,
          "terminalLeavesVisited": 24602,
          "branchPoints": 7398,
          "forcedMoves": 18027,
          "learnedPatterns": 3967,
          "roleAtoms": 10871,
          "markUnitEvents": 212953,
          "id": "polycube_p9_08219",
          "k": 2,
          "lane": "affine-GCTS",
          "preparationSeconds": 2.3639159160666168,
          "partialRulesArchivedLocally": true
        }
      ],
      "lower": 1,
      "exact": null,
      "witnessFile": "data/heesch-catalog/runs/polycube_p9_08219-k1.json",
      "note": "Verified corona witness; deeper cutoffs remain unresolved."
    },
    {
      "id": "polycube_p9_20656",
      "name": "p9-20656 \u00b7 9 cubes",
      "voxels": [
        [
          0,
          0,
          0
        ],
        [
          0,
          0,
          1
        ],
        [
          0,
          0,
          5
        ],
        [
          0,
          0,
          6
        ],
        [
          0,
          1,
          1
        ],
        [
          0,
          1,
          2
        ],
        [
          0,
          1,
          3
        ],
        [
          0,
          1,
          4
        ],
        [
          0,
          1,
          5
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/polycube_p9_20656-k1.json"
      ],
      "runs": [
        {
          "id": "polycube_p9_20656",
          "k": 1,
          "buildSeconds": 0.03923024999999991,
          "placements": 2756,
          "variables": 25950,
          "clauses": 68416,
          "status": "SAT",
          "solveSeconds": 0.0016185420000001116,
          "stats": {
            "restarts": 1,
            "conflicts": 23,
            "decisions": 1661,
            "propagations": 34651
          }
        },
        {
          "id": "polycube_p9_20656",
          "k": 2,
          "buildSeconds": 1.6641390409999985,
          "placements": 55380,
          "variables": 543593,
          "clauses": 1695391,
          "status": "unknown",
          "solveSeconds": 15.012504792000016,
          "stats": {
            "restarts": 214,
            "conflicts": 66472,
            "decisions": 1576339,
            "propagations": 207546404
          }
        },
        {
          "status": "unknown",
          "seconds": 15.096788666211069,
          "nodes": 30465,
          "terminalLeavesVisited": 17522,
          "branchPoints": 12942,
          "forcedMoves": 30664,
          "learnedPatterns": 274,
          "roleAtoms": 1781,
          "markUnitEvents": 94367,
          "id": "polycube_p9_20656",
          "k": 2,
          "lane": "affine-GCTS",
          "preparationSeconds": 3.347589374985546,
          "partialRulesArchivedLocally": true
        }
      ],
      "lower": 1,
      "exact": null,
      "witnessFile": "data/heesch-catalog/runs/polycube_p9_20656-k1.json",
      "note": "Verified corona witness; deeper cutoffs remain unresolved."
    },
    {
      "id": "polycube_p9_42947",
      "name": "p9-42947 \u00b7 9 cubes",
      "voxels": [
        [
          0,
          0,
          1
        ],
        [
          0,
          1,
          0
        ],
        [
          0,
          1,
          1
        ],
        [
          0,
          1,
          2
        ],
        [
          1,
          0,
          0
        ],
        [
          1,
          0,
          1
        ],
        [
          1,
          1,
          0
        ],
        [
          1,
          2,
          0
        ],
        [
          2,
          0,
          1
        ]
      ],
      "scope": "Integer translations and proper cubic rotations; full touching-tile coronas.",
      "evidence": [
        "data/heesch-catalog/runs/polycube_p9_42947-k1.json"
      ],
      "runs": [
        {
          "id": "polycube_p9_42947",
          "k": 1,
          "buildSeconds": 0.01831120900000005,
          "placements": 1408,
          "variables": 13555,
          "clauses": 35996,
          "status": "SAT",
          "solveSeconds": 0.005233290999999918,
          "stats": {
            "restarts": 1,
            "conflicts": 139,
            "decisions": 1735,
            "propagations": 50728
          }
        },
        {
          "id": "polycube_p9_42947",
          "k": 2,
          "buildSeconds": 0.43656029199999935,
          "placements": 13262,
          "variables": 129961,
          "clauses": 456477,
          "status": "unknown",
          "solveSeconds": 15.018927625,
          "stats": {
            "restarts": 796,
            "conflicts": 158182,
            "decisions": 716460,
            "propagations": 110887055
          }
        },
        {
          "status": "unknown",
          "seconds": 15.10170029103756,
          "nodes": 40705,
          "terminalLeavesVisited": 26793,
          "branchPoints": 13911,
          "forcedMoves": 29933,
          "learnedPatterns": 4921,
          "roleAtoms": 18081,
          "markUnitEvents": 301736,
          "id": "polycube_p9_42947",
          "k": 2,
          "lane": "affine-GCTS",
          "preparationSeconds": 0.5919765001162887,
          "partialRulesArchivedLocally": true
        }
      ],
      "lower": 1,
      "exact": null,
      "witnessFile": "data/heesch-catalog/runs/polycube_p9_42947-k1.json",
      "note": "Verified corona witness; deeper cutoffs remain unresolved."
    },
    {
      "id": "chair44_relief",
      "name": "Chair44 centered relief",
      "exact": null,
      "lower": 0,
      "scope": "Geometric relief tile; chamber-point export is not yet a Heesch-corona reduction.",
      "note": "Deferred: needs a faithful full-boundary corona model; no inference from finite point windows.",
      "evidence": [
        "docs/projects/chair44-lattice-export.md"
      ],
      "runs": []
    },
    {
      "id": "laves_c15::TruncTetra",
      "name": "Truncated tetrahedron",
      "vertices": [
        [
          1,
          1,
          0
        ],
        [
          1,
          0,
          1
        ],
        [
          0,
          1,
          1
        ],
        [
          2,
          2,
          0
        ],
        [
          3,
          2,
          1
        ],
        [
          2,
          3,
          1
        ],
        [
          2,
          0,
          2
        ],
        [
          3,
          1,
          2
        ],
        [
          2,
          1,
          3
        ],
        [
          0,
          2,
          2
        ],
        [
          1,
          3,
          2
        ],
        [
          1,
          2,
          3
        ]
      ],
      "faces": [
        [
          2,
          0,
          1
        ],
        [
          6,
          1,
          0,
          3,
          4,
          7
        ],
        [
          5,
          3,
          0,
          2,
          9,
          10
        ],
        [
          9,
          2,
          1,
          6,
          8,
          11
        ],
        [
          4,
          3,
          5
        ],
        [
          8,
          7,
          4,
          5,
          10,
          11
        ],
        [
          8,
          6,
          7
        ],
        [
          10,
          9,
          11
        ]
      ],
      "exact": null,
      "lower": 0,
      "scope": "Individual solid, not its mixed-tile catalog system.",
      "note": "Mixed dihedral angles: this angle test is inconclusive. A full corona reduction is still needed.",
      "evidence": [
        "data/heesch-catalog/edge-obstructions.json"
      ],
      "runs": []
    }
  ],
  "positiveControls": [
    {
      "id": "polycube_p9_02127",
      "motifCopies": 12,
      "sourceCertificate": "data/heesch-catalog/papoutsis/solution_01345.json",
      "allRootRolesChecked": 12,
      "sameClausesInOriginalAndGenericEncoder": true,
      "formulaSHA256": "3b0021eca4a6dff8afd89ae85add2f06f803ee569040c30a01c9a3a7fb7210a2",
      "results": [
        {
          "rootMotifRole": 0,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 27,
          "secondLayerTiles": 158,
          "totalTiles": 186,
          "coveredVoxels": 1674
        },
        {
          "rootMotifRole": 1,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 27,
          "secondLayerTiles": 158,
          "totalTiles": 186,
          "coveredVoxels": 1674
        },
        {
          "rootMotifRole": 2,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 24,
          "secondLayerTiles": 152,
          "totalTiles": 177,
          "coveredVoxels": 1593
        },
        {
          "rootMotifRole": 3,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 24,
          "secondLayerTiles": 154,
          "totalTiles": 179,
          "coveredVoxels": 1611
        },
        {
          "rootMotifRole": 4,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 24,
          "secondLayerTiles": 154,
          "totalTiles": 179,
          "coveredVoxels": 1611
        },
        {
          "rootMotifRole": 5,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 24,
          "secondLayerTiles": 152,
          "totalTiles": 177,
          "coveredVoxels": 1593
        },
        {
          "rootMotifRole": 6,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 24,
          "secondLayerTiles": 154,
          "totalTiles": 179,
          "coveredVoxels": 1611
        },
        {
          "rootMotifRole": 7,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 24,
          "secondLayerTiles": 154,
          "totalTiles": 179,
          "coveredVoxels": 1611
        },
        {
          "rootMotifRole": 8,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 27,
          "secondLayerTiles": 158,
          "totalTiles": 186,
          "coveredVoxels": 1674
        },
        {
          "rootMotifRole": 9,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 27,
          "secondLayerTiles": 158,
          "totalTiles": 186,
          "coveredVoxels": 1674
        },
        {
          "rootMotifRole": 10,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 24,
          "secondLayerTiles": 152,
          "totalTiles": 177,
          "coveredVoxels": 1593
        },
        {
          "rootMotifRole": 11,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 24,
          "secondLayerTiles": 152,
          "totalTiles": 177,
          "coveredVoxels": 1593
        }
      ],
      "blindGlucose": {
        "id": "polycube_p9_02127",
        "k": 2,
        "engine": "Original nonacube two-corona encoder, with only SHAPES replaced",
        "motifSuppliedToSearch": false,
        "budgetSeconds": 180,
        "status": "unknown",
        "buildSeconds": 0.8562790830619633,
        "searchSeconds": 180.03759612469003,
        "stats": {
          "restarts": 4552,
          "conflicts": 989770,
          "decisions": 11698346,
          "propagations": 2016275118
        },
        "problem": {
          "firstCandidates": 2198,
          "totalCandidates": 33252,
          "variables": 326708,
          "clauses": 1046464,
          "preparationMs": 852.8789998963475
        },
        "formulaSHA256": "3b0021eca4a6dff8afd89ae85add2f06f803ee569040c30a01c9a3a7fb7210a2"
      },
      "blindCadical": {
        "id": "polycube_p9_02127",
        "k": 2,
        "solver": "Cadical195",
        "budgetSeconds": 120,
        "motifSuppliedToSearch": false,
        "status": "unknown",
        "searchAndSetupSeconds": 120.02244679071009,
        "stats": {
          "restarts": 10667,
          "conflicts": 576267,
          "decisions": 3568861,
          "propagations": 1083344116
        }
      },
      "positivePhases": {
        "id": "polycube_p9_02127",
        "k": 2,
        "solver": "Glucose3",
        "variant": "All placement phases prefer selected; no motif or constraints supplied",
        "budgetSeconds": 60,
        "status": "unknown",
        "seconds": 60.056768333073705,
        "stats": {
          "restarts": 1504,
          "conflicts": 355520,
          "decisions": 4222207,
          "propagations": 702728821
        }
      },
      "witnessFile": "data/heesch-catalog/positive-controls/polycube_p9_02127-periodic-coronas.json"
    },
    {
      "id": "polycube_p9_24025",
      "motifCopies": 12,
      "sourceCertificate": "data/heesch-catalog/papoutsis/solution_12982.json",
      "allRootRolesChecked": 12,
      "sameClausesInOriginalAndGenericEncoder": true,
      "formulaSHA256": "f8558c2843d626597190d7b86d3f9a8dd79c436f769780bf43b2c76f793b6aa8",
      "results": [
        {
          "rootMotifRole": 0,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 25,
          "secondLayerTiles": 105,
          "totalTiles": 131,
          "coveredVoxels": 1179
        },
        {
          "rootMotifRole": 1,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 26,
          "secondLayerTiles": 112,
          "totalTiles": 139,
          "coveredVoxels": 1251
        },
        {
          "rootMotifRole": 2,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 24,
          "secondLayerTiles": 103,
          "totalTiles": 128,
          "coveredVoxels": 1152
        },
        {
          "rootMotifRole": 3,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 23,
          "secondLayerTiles": 103,
          "totalTiles": 127,
          "coveredVoxels": 1143
        },
        {
          "rootMotifRole": 4,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 23,
          "secondLayerTiles": 102,
          "totalTiles": 126,
          "coveredVoxels": 1134
        },
        {
          "rootMotifRole": 5,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 25,
          "secondLayerTiles": 109,
          "totalTiles": 135,
          "coveredVoxels": 1215
        },
        {
          "rootMotifRole": 6,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 25,
          "secondLayerTiles": 109,
          "totalTiles": 135,
          "coveredVoxels": 1215
        },
        {
          "rootMotifRole": 7,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 23,
          "secondLayerTiles": 102,
          "totalTiles": 126,
          "coveredVoxels": 1134
        },
        {
          "rootMotifRole": 8,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 24,
          "secondLayerTiles": 103,
          "totalTiles": 128,
          "coveredVoxels": 1152
        },
        {
          "rootMotifRole": 9,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 23,
          "secondLayerTiles": 103,
          "totalTiles": 127,
          "coveredVoxels": 1143
        },
        {
          "rootMotifRole": 10,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 26,
          "secondLayerTiles": 112,
          "totalTiles": 139,
          "coveredVoxels": 1251
        },
        {
          "rootMotifRole": 11,
          "formulaAccepts": true,
          "allClausesChecked": true,
          "missingFirstLayerTileRejected": true,
          "missingSecondLayerTileRejected": true,
          "firstLayerTiles": 25,
          "secondLayerTiles": 105,
          "totalTiles": 131,
          "coveredVoxels": 1179
        }
      ],
      "blindGlucose": {
        "id": "polycube_p9_24025",
        "k": 2,
        "engine": "Original nonacube two-corona encoder, with only SHAPES replaced",
        "motifSuppliedToSearch": false,
        "budgetSeconds": 180,
        "status": "unknown",
        "buildSeconds": 2.2928043748252094,
        "searchSeconds": 180.04168591601774,
        "stats": {
          "restarts": 2184,
          "conflicts": 430446,
          "decisions": 5094344,
          "propagations": 880396998
        },
        "problem": {
          "firstCandidates": 4400,
          "totalCandidates": 58424,
          "variables": 579510,
          "clauses": 1908100,
          "preparationMs": 2274.4647921063006
        },
        "formulaSHA256": "f8558c2843d626597190d7b86d3f9a8dd79c436f769780bf43b2c76f793b6aa8"
      },
      "blindCadical": {
        "id": "polycube_p9_24025",
        "k": 2,
        "solver": "Cadical195",
        "budgetSeconds": 120,
        "motifSuppliedToSearch": false,
        "status": "unknown",
        "searchAndSetupSeconds": 120.09313666587695,
        "stats": {
          "restarts": 4884,
          "conflicts": 294241,
          "decisions": 1729805,
          "propagations": 760883092
        }
      },
      "witnessFile": "data/heesch-catalog/positive-controls/polycube_p9_24025-periodic-coronas.json"
    }
  ],
  "benchmarks": [
    {
      "id": "polycube_p10_052670",
      "lane": "unmarked-graph",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 4.979083314538002e-05,
          "nodes": 1,
          "terminalLeavesVisited": 1,
          "branchPoints": 0,
          "forcedMoves": 1,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "polycube_p10_052670",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 0,
          "formulaBuildSeconds": 0.04996866686269641,
          "engineSetupSeconds": 0.020275041926652193,
          "totalSeconds": 0.07029349962249398
        },
        {
          "status": "UNSAT",
          "seconds": 4.879198968410492e-05,
          "nodes": 1,
          "terminalLeavesVisited": 1,
          "branchPoints": 0,
          "forcedMoves": 1,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "polycube_p10_052670",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 1,
          "formulaBuildSeconds": 0.055300832726061344,
          "engineSetupSeconds": 0.017091292422264814,
          "totalSeconds": 0.07244091713801026
        },
        {
          "status": "UNSAT",
          "seconds": 4.679197445511818e-05,
          "nodes": 1,
          "terminalLeavesVisited": 1,
          "branchPoints": 0,
          "forcedMoves": 1,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "polycube_p10_052670",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 2,
          "formulaBuildSeconds": 0.06321137491613626,
          "engineSetupSeconds": 0.01653420925140381,
          "totalSeconds": 0.07979237614199519
        }
      ],
      "medianSearchSeconds": 4.879198968410492e-05,
      "medianTotalSeconds": 0.07244091713801026
    },
    {
      "id": "polycube_p10_052670",
      "lane": "affine-GCTS",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 6.874976679682732e-05,
          "nodes": 1,
          "terminalLeavesVisited": 1,
          "branchPoints": 0,
          "forcedMoves": 1,
          "learnedPatterns": 1,
          "roleAtoms": 1,
          "markUnitEvents": 1,
          "id": "polycube_p10_052670",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 0,
          "formulaBuildSeconds": 0.06458975002169609,
          "engineSetupSeconds": 0.016797374933958054,
          "totalSeconds": 0.08145587472245097
        },
        {
          "status": "UNSAT",
          "seconds": 6.504077464342117e-05,
          "nodes": 1,
          "terminalLeavesVisited": 1,
          "branchPoints": 0,
          "forcedMoves": 1,
          "learnedPatterns": 1,
          "roleAtoms": 1,
          "markUnitEvents": 1,
          "id": "polycube_p10_052670",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 1,
          "formulaBuildSeconds": 0.05536712473258376,
          "engineSetupSeconds": 0.0166849996894598,
          "totalSeconds": 0.07211716519668698
        },
        {
          "status": "UNSAT",
          "seconds": 6.287498399615288e-05,
          "nodes": 1,
          "terminalLeavesVisited": 1,
          "branchPoints": 0,
          "forcedMoves": 1,
          "learnedPatterns": 1,
          "roleAtoms": 1,
          "markUnitEvents": 1,
          "id": "polycube_p10_052670",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 2,
          "formulaBuildSeconds": 0.0630520423874259,
          "engineSetupSeconds": 0.01646545808762312,
          "totalSeconds": 0.07958037545904517
        }
      ],
      "medianSearchSeconds": 6.504077464342117e-05,
      "medianTotalSeconds": 0.07958037545904517
    },
    {
      "id": "3_cross",
      "lane": "unmarked-graph",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 0.005364167038351297,
          "nodes": 186,
          "terminalLeavesVisited": 114,
          "branchPoints": 72,
          "forcedMoves": 159,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "3_cross",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 0,
          "formulaBuildSeconds": 0.015022875275462866,
          "engineSetupSeconds": 0.005856374744325876,
          "totalSeconds": 0.02624341705814004
        },
        {
          "status": "UNSAT",
          "seconds": 0.005382374860346317,
          "nodes": 186,
          "terminalLeavesVisited": 114,
          "branchPoints": 72,
          "forcedMoves": 159,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "3_cross",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 1,
          "formulaBuildSeconds": 0.015406999737024307,
          "engineSetupSeconds": 0.00292599992826581,
          "totalSeconds": 0.023715374525636435
        },
        {
          "status": "UNSAT",
          "seconds": 0.00570145808160305,
          "nodes": 186,
          "terminalLeavesVisited": 114,
          "branchPoints": 72,
          "forcedMoves": 159,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "3_cross",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 2,
          "formulaBuildSeconds": 0.012610959354788065,
          "engineSetupSeconds": 0.0030407090671360493,
          "totalSeconds": 0.021353126503527164
        }
      ],
      "medianSearchSeconds": 0.005382374860346317,
      "medianTotalSeconds": 0.023715374525636435
    },
    {
      "id": "3_cross",
      "lane": "affine-GCTS",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 0.005873417016118765,
          "nodes": 182,
          "terminalLeavesVisited": 112,
          "branchPoints": 70,
          "forcedMoves": 138,
          "learnedPatterns": 83,
          "roleAtoms": 274,
          "markUnitEvents": 186,
          "id": "3_cross",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 0,
          "formulaBuildSeconds": 0.011781665962189436,
          "engineSetupSeconds": 0.0033134170807898045,
          "totalSeconds": 0.020968500059098005
        },
        {
          "status": "UNSAT",
          "seconds": 0.005944333970546722,
          "nodes": 182,
          "terminalLeavesVisited": 112,
          "branchPoints": 70,
          "forcedMoves": 138,
          "learnedPatterns": 83,
          "roleAtoms": 274,
          "markUnitEvents": 186,
          "id": "3_cross",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 1,
          "formulaBuildSeconds": 0.01462850021198392,
          "engineSetupSeconds": 0.002985042054206133,
          "totalSeconds": 0.023557876236736774
        },
        {
          "status": "UNSAT",
          "seconds": 0.006029457785189152,
          "nodes": 182,
          "terminalLeavesVisited": 112,
          "branchPoints": 70,
          "forcedMoves": 138,
          "learnedPatterns": 83,
          "roleAtoms": 274,
          "markUnitEvents": 186,
          "id": "3_cross",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 2,
          "formulaBuildSeconds": 0.012277791742235422,
          "engineSetupSeconds": 0.0030828751623630524,
          "totalSeconds": 0.021390124689787626
        }
      ],
      "medianSearchSeconds": 0.005944333970546722,
      "medianTotalSeconds": 0.021390124689787626
    },
    {
      "id": "t_cross",
      "lane": "unmarked-graph",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 8.9300955417566,
          "nodes": 266447,
          "terminalLeavesVisited": 189204,
          "branchPoints": 77243,
          "forcedMoves": 22512,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "t_cross",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 0,
          "formulaBuildSeconds": 0.27155820885673165,
          "engineSetupSeconds": 0.060206624679267406,
          "totalSeconds": 9.2618603752926
        },
        {
          "status": "UNSAT",
          "seconds": 8.80503020901233,
          "nodes": 266447,
          "terminalLeavesVisited": 189204,
          "branchPoints": 77243,
          "forcedMoves": 22512,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "t_cross",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 1,
          "formulaBuildSeconds": 0.29222983308136463,
          "engineSetupSeconds": 0.07151166722178459,
          "totalSeconds": 9.168771709315479
        },
        {
          "status": "UNSAT",
          "seconds": 8.847810707986355,
          "nodes": 266447,
          "terminalLeavesVisited": 189204,
          "branchPoints": 77243,
          "forcedMoves": 22512,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "t_cross",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 2,
          "formulaBuildSeconds": 0.2664281246252358,
          "engineSetupSeconds": 0.07569750025868416,
          "totalSeconds": 9.189936332870275
        }
      ],
      "medianSearchSeconds": 8.847810707986355,
      "medianTotalSeconds": 9.189936332870275
    },
    {
      "id": "t_cross",
      "lane": "affine-GCTS",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 1.311326791997999,
          "nodes": 20394,
          "terminalLeavesVisited": 14604,
          "branchPoints": 5790,
          "forcedMoves": 2945,
          "learnedPatterns": 7919,
          "roleAtoms": 24297,
          "markUnitEvents": 101593,
          "id": "t_cross",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 0,
          "formulaBuildSeconds": 0.29472108371555805,
          "engineSetupSeconds": 0.07241316698491573,
          "totalSeconds": 1.6784610426984727
        },
        {
          "status": "UNSAT",
          "seconds": 1.3148170001804829,
          "nodes": 20394,
          "terminalLeavesVisited": 14604,
          "branchPoints": 5790,
          "forcedMoves": 2945,
          "learnedPatterns": 7919,
          "roleAtoms": 24297,
          "markUnitEvents": 101593,
          "id": "t_cross",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 1,
          "formulaBuildSeconds": 0.310163666959852,
          "engineSetupSeconds": 0.07339583290740848,
          "totalSeconds": 1.6983765000477433
        },
        {
          "status": "UNSAT",
          "seconds": 1.3554844576865435,
          "nodes": 20394,
          "terminalLeavesVisited": 14604,
          "branchPoints": 5790,
          "forcedMoves": 2945,
          "learnedPatterns": 7919,
          "roleAtoms": 24297,
          "markUnitEvents": 101593,
          "id": "t_cross",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 2,
          "formulaBuildSeconds": 0.2739954167045653,
          "engineSetupSeconds": 0.07395791681483388,
          "totalSeconds": 1.7034377912059426
        }
      ],
      "medianSearchSeconds": 1.3148170001804829,
      "medianTotalSeconds": 1.6983765000477433
    },
    {
      "id": "large_buckled_ring",
      "lane": "unmarked-graph",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 0.14818083308637142,
          "nodes": 16485,
          "terminalLeavesVisited": 10594,
          "branchPoints": 5891,
          "forcedMoves": 6886,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "large_buckled_ring",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 0,
          "formulaBuildSeconds": 0.026635624933987856,
          "engineSetupSeconds": 0.020833249669522047,
          "totalSeconds": 0.19564970768988132
        },
        {
          "status": "UNSAT",
          "seconds": 0.14700579177588224,
          "nodes": 16485,
          "terminalLeavesVisited": 10594,
          "branchPoints": 5891,
          "forcedMoves": 6886,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "large_buckled_ring",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 1,
          "formulaBuildSeconds": 0.012528165709227324,
          "engineSetupSeconds": 0.00376270804554224,
          "totalSeconds": 0.1632966655306518
        },
        {
          "status": "UNSAT",
          "seconds": 0.14349304186180234,
          "nodes": 16485,
          "terminalLeavesVisited": 10594,
          "branchPoints": 5891,
          "forcedMoves": 6886,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "large_buckled_ring",
          "k": 1,
          "lane": "unmarked-graph",
          "repeat": 2,
          "formulaBuildSeconds": 0.01236795773729682,
          "engineSetupSeconds": 0.0035013328306376934,
          "totalSeconds": 0.15936233242973685
        }
      ],
      "medianSearchSeconds": 0.14700579177588224,
      "medianTotalSeconds": 0.1632966655306518
    },
    {
      "id": "large_buckled_ring",
      "lane": "affine-GCTS",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 0.05082050012424588,
          "nodes": 2676,
          "terminalLeavesVisited": 1666,
          "branchPoints": 1010,
          "forcedMoves": 1527,
          "learnedPatterns": 618,
          "roleAtoms": 1701,
          "markUnitEvents": 8763,
          "id": "large_buckled_ring",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 0,
          "formulaBuildSeconds": 0.012561459094285965,
          "engineSetupSeconds": 0.0035491250455379486,
          "totalSeconds": 0.0669310842640698
        },
        {
          "status": "UNSAT",
          "seconds": 0.05257391696795821,
          "nodes": 2676,
          "terminalLeavesVisited": 1666,
          "branchPoints": 1010,
          "forcedMoves": 1527,
          "learnedPatterns": 618,
          "roleAtoms": 1701,
          "markUnitEvents": 8763,
          "id": "large_buckled_ring",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 1,
          "formulaBuildSeconds": 0.012955666054040194,
          "engineSetupSeconds": 0.0036942502483725548,
          "totalSeconds": 0.06922383327037096
        },
        {
          "status": "UNSAT",
          "seconds": 0.05098824994638562,
          "nodes": 2676,
          "terminalLeavesVisited": 1666,
          "branchPoints": 1010,
          "forcedMoves": 1527,
          "learnedPatterns": 618,
          "roleAtoms": 1701,
          "markUnitEvents": 8763,
          "id": "large_buckled_ring",
          "k": 1,
          "lane": "affine-GCTS",
          "repeat": 2,
          "formulaBuildSeconds": 0.012857958674430847,
          "engineSetupSeconds": 0.003511583898216486,
          "totalSeconds": 0.06735779251903296
        }
      ],
      "medianSearchSeconds": 0.05098824994638562,
      "medianTotalSeconds": 0.06735779251903296
    },
    {
      "id": "polycube_p10_052670",
      "lane": "Glucose3",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 8.624978363513947e-06,
          "stats": {
            "restarts": 0,
            "conflicts": 0,
            "decisions": 0,
            "propagations": 0
          },
          "id": "polycube_p10_052670",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 0,
          "formulaBuildSeconds": 0.047951874788850546,
          "engineSetupSeconds": 0.015875500161200762,
          "totalSeconds": 0.06383599992841482
        },
        {
          "status": "UNSAT",
          "seconds": 6.707850843667984e-06,
          "stats": {
            "restarts": 0,
            "conflicts": 0,
            "decisions": 0,
            "propagations": 0
          },
          "id": "polycube_p10_052670",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 1,
          "formulaBuildSeconds": 0.0652488749474287,
          "engineSetupSeconds": 0.015486582648009062,
          "totalSeconds": 0.08074216544628143
        },
        {
          "status": "UNSAT",
          "seconds": 5.499925464391708e-06,
          "stats": {
            "restarts": 0,
            "conflicts": 0,
            "decisions": 0,
            "propagations": 0
          },
          "id": "polycube_p10_052670",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 2,
          "formulaBuildSeconds": 0.06438895780593157,
          "engineSetupSeconds": 0.015370749868452549,
          "totalSeconds": 0.07976520759984851
        }
      ],
      "medianSearchSeconds": 6.707850843667984e-06,
      "medianTotalSeconds": 0.07976520759984851
    },
    {
      "id": "3_cross",
      "lane": "Glucose3",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 0.003280624747276306,
          "stats": {
            "restarts": 1,
            "conflicts": 436,
            "decisions": 754,
            "propagations": 66004
          },
          "id": "3_cross",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 0,
          "formulaBuildSeconds": 0.014672833029180765,
          "engineSetupSeconds": 0.0031732916831970215,
          "totalSeconds": 0.021126749459654093
        },
        {
          "status": "UNSAT",
          "seconds": 0.0037474590353667736,
          "stats": {
            "restarts": 1,
            "conflicts": 436,
            "decisions": 754,
            "propagations": 66004
          },
          "id": "3_cross",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 1,
          "formulaBuildSeconds": 0.015071500092744827,
          "engineSetupSeconds": 0.003215583972632885,
          "totalSeconds": 0.022034543100744486
        },
        {
          "status": "UNSAT",
          "seconds": 0.003072124905884266,
          "stats": {
            "restarts": 1,
            "conflicts": 436,
            "decisions": 754,
            "propagations": 66004
          },
          "id": "3_cross",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 2,
          "formulaBuildSeconds": 0.012596874963492155,
          "engineSetupSeconds": 0.0033389576710760593,
          "totalSeconds": 0.01900795754045248
        }
      ],
      "medianSearchSeconds": 0.003280624747276306,
      "medianTotalSeconds": 0.021126749459654093
    },
    {
      "id": "t_cross",
      "lane": "Glucose3",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 1.011644042097032,
          "stats": {
            "restarts": 79,
            "conflicts": 11724,
            "decisions": 65311,
            "propagations": 11417038
          },
          "id": "t_cross",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 0,
          "formulaBuildSeconds": 0.2522194581106305,
          "engineSetupSeconds": 0.06356304092332721,
          "totalSeconds": 1.3274265411309898
        },
        {
          "status": "UNSAT",
          "seconds": 1.013133583124727,
          "stats": {
            "restarts": 79,
            "conflicts": 11724,
            "decisions": 65311,
            "propagations": 11417038
          },
          "id": "t_cross",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 1,
          "formulaBuildSeconds": 0.2967572077177465,
          "engineSetupSeconds": 0.06371233379468322,
          "totalSeconds": 1.3736031246371567
        },
        {
          "status": "UNSAT",
          "seconds": 1.0282650827430189,
          "stats": {
            "restarts": 79,
            "conflicts": 11724,
            "decisions": 65311,
            "propagations": 11417038
          },
          "id": "t_cross",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 2,
          "formulaBuildSeconds": 0.26299912482500076,
          "engineSetupSeconds": 0.0630058329552412,
          "totalSeconds": 1.3542700405232608
        }
      ],
      "medianSearchSeconds": 1.013133583124727,
      "medianTotalSeconds": 1.3542700405232608
    },
    {
      "id": "large_buckled_ring",
      "lane": "Glucose3",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 0.02464879071339965,
          "stats": {
            "restarts": 8,
            "conflicts": 1298,
            "decisions": 5418,
            "propagations": 404966
          },
          "id": "large_buckled_ring",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 0,
          "formulaBuildSeconds": 0.02479358296841383,
          "engineSetupSeconds": 0.004368875175714493,
          "totalSeconds": 0.05381124885752797
        },
        {
          "status": "UNSAT",
          "seconds": 0.024259415920823812,
          "stats": {
            "restarts": 8,
            "conflicts": 1298,
            "decisions": 5418,
            "propagations": 404966
          },
          "id": "large_buckled_ring",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 1,
          "formulaBuildSeconds": 0.017303790897130966,
          "engineSetupSeconds": 0.004033500328660011,
          "totalSeconds": 0.04559670714661479
        },
        {
          "status": "UNSAT",
          "seconds": 0.023066958878189325,
          "stats": {
            "restarts": 8,
            "conflicts": 1298,
            "decisions": 5418,
            "propagations": 404966
          },
          "id": "large_buckled_ring",
          "k": 1,
          "lane": "Glucose3",
          "repeat": 2,
          "formulaBuildSeconds": 0.012571333907544613,
          "engineSetupSeconds": 0.004365125205367804,
          "totalSeconds": 0.04000341799110174
        }
      ],
      "medianSearchSeconds": 0.024259415920823812,
      "medianTotalSeconds": 0.04559670714661479
    },
    {
      "id": "polycube_p10_052588",
      "lane": "unmarked-graph",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 35.17161324992776,
          "nodes": 161065,
          "terminalLeavesVisited": 140125,
          "branchPoints": 20940,
          "forcedMoves": 44070,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "polycube_p10_052588",
          "k": 2,
          "lane": "unmarked-graph",
          "repeat": 0,
          "formulaBuildSeconds": 1.49570024991408,
          "engineSetupSeconds": 0.6836741659790277,
          "totalSeconds": 37.35098766582087
        },
        {
          "status": "UNSAT",
          "seconds": 34.77188145881519,
          "nodes": 161065,
          "terminalLeavesVisited": 140125,
          "branchPoints": 20940,
          "forcedMoves": 44070,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "polycube_p10_052588",
          "k": 2,
          "lane": "unmarked-graph",
          "repeat": 1,
          "formulaBuildSeconds": 1.7684477497823536,
          "engineSetupSeconds": 1.2528420840390027,
          "totalSeconds": 37.79317129263654
        },
        {
          "status": "UNSAT",
          "seconds": 34.993642415851355,
          "nodes": 161065,
          "terminalLeavesVisited": 140125,
          "branchPoints": 20940,
          "forcedMoves": 44070,
          "learnedPatterns": 0,
          "roleAtoms": 0,
          "markUnitEvents": 0,
          "id": "polycube_p10_052588",
          "k": 2,
          "lane": "unmarked-graph",
          "repeat": 2,
          "formulaBuildSeconds": 1.663094166200608,
          "engineSetupSeconds": 0.7837901669554412,
          "totalSeconds": 37.440526749007404
        }
      ],
      "medianSearchSeconds": 34.993642415851355,
      "medianTotalSeconds": 37.440526749007404
    },
    {
      "id": "polycube_p10_052588",
      "lane": "affine-GCTS",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 19.725059499964118,
          "nodes": 41599,
          "terminalLeavesVisited": 32882,
          "branchPoints": 8717,
          "forcedMoves": 21533,
          "learnedPatterns": 12735,
          "roleAtoms": 33083,
          "markUnitEvents": 519792,
          "id": "polycube_p10_052588",
          "k": 2,
          "lane": "affine-GCTS",
          "repeat": 0,
          "formulaBuildSeconds": 1.6240789159201086,
          "engineSetupSeconds": 0.7816933752037585,
          "totalSeconds": 22.130831791087985
        },
        {
          "status": "UNSAT",
          "seconds": 19.895887916907668,
          "nodes": 41599,
          "terminalLeavesVisited": 32882,
          "branchPoints": 8717,
          "forcedMoves": 21533,
          "learnedPatterns": 12735,
          "roleAtoms": 33083,
          "markUnitEvents": 519792,
          "id": "polycube_p10_052588",
          "k": 2,
          "lane": "affine-GCTS",
          "repeat": 1,
          "formulaBuildSeconds": 1.80682187480852,
          "engineSetupSeconds": 0.7952963327988982,
          "totalSeconds": 22.498006124515086
        },
        {
          "status": "UNSAT",
          "seconds": 19.74213424976915,
          "nodes": 41599,
          "terminalLeavesVisited": 32882,
          "branchPoints": 8717,
          "forcedMoves": 21533,
          "learnedPatterns": 12735,
          "roleAtoms": 33083,
          "markUnitEvents": 519792,
          "id": "polycube_p10_052588",
          "k": 2,
          "lane": "affine-GCTS",
          "repeat": 2,
          "formulaBuildSeconds": 1.6116726249456406,
          "engineSetupSeconds": 0.7963281669653952,
          "totalSeconds": 22.150135041680187
        }
      ],
      "medianSearchSeconds": 19.74213424976915,
      "medianTotalSeconds": 22.150135041680187
    },
    {
      "id": "polycube_p10_052588",
      "lane": "Glucose3",
      "runs": [
        {
          "status": "UNSAT",
          "seconds": 70.32829383388162,
          "stats": {
            "restarts": 1533,
            "conflicts": 244396,
            "decisions": 1473765,
            "propagations": 239145877
          },
          "id": "polycube_p10_052588",
          "k": 2,
          "lane": "Glucose3",
          "repeat": 0,
          "formulaBuildSeconds": 1.5503450422547758,
          "engineSetupSeconds": 1.1580894165672362,
          "totalSeconds": 73.03672829270363
        },
        {
          "status": "UNSAT",
          "seconds": 71.44794608280063,
          "stats": {
            "restarts": 1533,
            "conflicts": 244396,
            "decisions": 1473765,
            "propagations": 239145877
          },
          "id": "polycube_p10_052588",
          "k": 2,
          "lane": "Glucose3",
          "repeat": 1,
          "formulaBuildSeconds": 1.8749111252836883,
          "engineSetupSeconds": 1.197706415783614,
          "totalSeconds": 74.52056362386793
        },
        {
          "status": "UNSAT",
          "seconds": 71.79748254222795,
          "stats": {
            "restarts": 1533,
            "conflicts": 244396,
            "decisions": 1473765,
            "propagations": 239145877
          },
          "id": "polycube_p10_052588",
          "k": 2,
          "lane": "Glucose3",
          "repeat": 2,
          "formulaBuildSeconds": 1.8948289998807013,
          "engineSetupSeconds": 1.2081644586287439,
          "totalSeconds": 74.9004760007374
        }
      ],
      "medianSearchSeconds": 71.44794608280063,
      "medianTotalSeconds": 74.52056362386793
    }
  ],
  "counts": {
    "candidates": 19,
    "finite": 9,
    "zero": 7,
    "one": 2,
    "unresolved": 10
  }
}