{
  "expectation": "Column-slot permutation satisfies stable-block/gap/index invariants; recomputed ranks remain exact.",
  "method": "All permutations and set partitions through n=5; every nonempty subset and raw column gap. Every directed simple graph on 4 IDs, all 24 step permutations, all admitted subsets/gaps. No Rust, source serializer, or GUI exercised.",
  "passed": true,
  "counts": {
    "propertyCases": 214990,
    "crossColumnRefusals": 140024,
    "noops": 127950,
    "graphOrders": 98304,
    "rankCheckedPlans": 861096
  },
  "concrete": [
    {
      "name": "interleaved visual no-op",
      "steps": [
        "a",
        "u",
        "b",
        "v",
        "c"
      ],
      "ranks": {
        "a": 0,
        "b": 0,
        "c": 0,
        "u": 1,
        "v": 1
      },
      "selected": [
        "c",
        "b"
      ],
      "rawGap": 1,
      "result": [
        "a",
        "u",
        "b",
        "v",
        "c"
      ],
      "changed": false
    },
    {
      "name": "column slot move preserves other indices",
      "steps": [
        "a",
        "u",
        "b",
        "v",
        "c"
      ],
      "ranks": {
        "a": 0,
        "b": 0,
        "c": 0,
        "u": 1,
        "v": 1
      },
      "selected": [
        "c",
        "b"
      ],
      "rawGap": 0,
      "result": [
        "b",
        "u",
        "c",
        "v",
        "a"
      ],
      "changed": true
    },
    {
      "name": "selected-anchor normalization is not always no-op",
      "steps": [
        "a",
        "b",
        "c",
        "d"
      ],
      "ranks": {
        "a": 0,
        "b": 0,
        "c": 0,
        "d": 0
      },
      "selected": [
        "b",
        "d"
      ],
      "rawGap": 3,
      "result": [
        "a",
        "c",
        "b",
        "d"
      ],
      "changed": true
    },
    {
      "name": "legacy successive-rank refusal",
      "steps": [
        "a",
        "b",
        "c"
      ],
      "ranks": {
        "a": 0,
        "b": 1,
        "c": 2
      },
      "selected": [
        "a",
        "c"
      ],
      "rawGap": 0,
      "result": null,
      "changed": false
    },
    {
      "name": "cycle fallback group refusal",
      "steps": [
        0,
        1,
        2,
        3
      ],
      "ranks": {
        "0": 0,
        "1": 0,
        "2": 1,
        "3": 2
      },
      "selected": [
        2,
        3
      ],
      "rawGap": 0,
      "result": null,
      "changed": false
    },
    {
      "name": "acyclic peers beside cycle",
      "steps": [
        0,
        1,
        2,
        3
      ],
      "ranks": {
        "0": 0,
        "1": 0,
        "2": 1,
        "3": 2
      },
      "selected": [
        1
      ],
      "rawGap": 0,
      "result": [
        1,
        0,
        2,
        3
      ],
      "changed": true
    },
    {
      "name": "changed multiple-member group beside cycle",
      "steps": [
        "a",
        "u",
        "b",
        "v",
        "c"
      ],
      "ranks": {
        "a": 0,
        "u": 1,
        "b": 0,
        "v": 2,
        "c": 0
      },
      "selected": [
        "c",
        "b"
      ],
      "rawGap": 0,
      "result": [
        "b",
        "u",
        "c",
        "v",
        "a"
      ],
      "changed": true
    }
  ]
}