{
  "status": "pass",
  "uniform_support_review": {
    "below_threshold_counterexample": {
      "disjoint_pairs": 0,
      "full_family_size": 10,
      "misapplied_ekr_ceiling": 6,
      "n": 5,
      "r": 3
    },
    "critical_complement_pairs_n6_r3": 10,
    "in_range_families_checked": 1049664,
    "n7_r3_exceptional_families": 35,
    "n7_r3_standard_hilton_milner_families": 140,
    "r1_maximum_empty_core_intersecting_size": 0
  },
  "verified_claims": [
    "corrected EKR/Hilton--Milner parameter ranges",
    "Kneser spectral receipt on 1 <= r <= n/2",
    "XCC color compatibility bijection",
    "one-shot product/matching bijection",
    "weighted overhead formula",
    "isolated-edge recovery identity"
  ],
  "xcc_matching_review": {
    "exhaustive_graphs_checked": 1099,
    "matching_product_states_checked": 10312,
    "xcc_compatible_subsets": 291,
    "xcc_subsets_checked": 16384
  }
}