{
  "scope": "All formal words through length 4 over a,b,X,Y for two prescribed-length choices per bound; all ordered ternary templates over a,b,X(rank ell),Y(rank ell+1) through two allocations, symbolic vs concrete ranks ell=0..4; singleton selection and residual-length controls. No proof-assistant or unrestricted synthesis verification.",
  "marker_cases": [
    {
      "L": 1,
      "lengths": [
        6,
        6
      ],
      "formal_words": 5
    },
    {
      "L": 1,
      "lengths": [
        9,
        27
      ],
      "formal_words": 5
    },
    {
      "L": 2,
      "lengths": [
        7,
        7
      ],
      "formal_words": 21
    },
    {
      "L": 2,
      "lengths": [
        27,
        81
      ],
      "formal_words": 21
    },
    {
      "L": 3,
      "lengths": [
        8,
        8
      ],
      "formal_words": 85
    },
    {
      "L": 3,
      "lengths": [
        81,
        243
      ],
      "formal_words": 85
    },
    {
      "L": 4,
      "lengths": [
        9,
        9
      ],
      "formal_words": 341
    },
    {
      "L": 4,
      "lengths": [
        243,
        729
      ],
      "formal_words": 341
    }
  ],
  "templates_checked": 8065,
  "accidental_level_zero_typings": 876
}