{
  "status": "PASS",
  "dataset": "combination3d_dataset_3000",
  "source_items": 3000,
  "included_items": 3000,
  "excluded_items": 0,
  "exclusion_counts": {},
  "template": "Compare each separated group of cubes in every candidate with the target structure: decide which single candidate could be moved and turned about the upright axis to reproduce the target exactly, and say what disqualifies one of the candidates you rejected. State your conclusion, justify it by describing how you tried to fit the groups together and how you accounted for cubes hidden behind others, and end with a confidence score from 0 to 1.",
  "subfacts": [
    "correct_candidate",
    "rejected_candidate",
    "rejection_reason"
  ],
  "answer_distributions": {
    "correct_candidate": {
      "A": 750,
      "B": 750,
      "C": 750,
      "D": 750
    },
    "rejected_candidate": {
      "C": 766,
      "B": 753,
      "A": 750,
      "D": 731
    },
    "rejection_reason": {
      "gap or overlap": 1060,
      "requires turning about a forbidden axis": 980,
      "wrong cube count": 960
    }
  },
  "constant_answer_baselines": {
    "correct_candidate": 0.25,
    "rejected_candidate": 0.25533333333333336,
    "rejection_reason": 0.35333333333333333
  },
  "fields_at_or_above_60_percent": {},
  "independent_derivation": {
    "mismatches": [],
    "method": "separate formulas and geometry traversals; generator answer derivation is not called"
  },
  "deterministic_subfact_dependency_check": {
    "method": "For every target sub-fact, test every 1-to-3-field subset of the other populated sub-facts. A relation is flagged when every repeated predictor tuple maps to one target and repeated tuples cover at least 80% of eligible rows. Explicit prohibited semantic identities remain validation failures.",
    "tested_relationships": [
      {
        "target": "correct_candidate",
        "predictors": [
          "rejected_candidate"
        ],
        "rows": 3000,
        "distinct_predictor_tuples": 4,
        "repeat_coverage": 1.0,
        "deterministic": false
      },
      {
        "target": "correct_candidate",
        "predictors": [
          "rejection_reason"
        ],
        "rows": 3000,
        "distinct_predictor_tuples": 3,
        "repeat_coverage": 1.0,
        "deterministic": false
      },
      {
        "target": "correct_candidate",
        "predictors": [
          "rejected_candidate",
          "rejection_reason"
        ],
        "rows": 3000,
        "distinct_predictor_tuples": 12,
        "repeat_coverage": 1.0,
        "deterministic": false
      },
      {
        "target": "rejected_candidate",
        "predictors": [
          "correct_candidate"
        ],
        "rows": 3000,
        "distinct_predictor_tuples": 4,
        "repeat_coverage": 1.0,
        "deterministic": false
      },
      {
        "target": "rejected_candidate",
        "predictors": [
          "rejection_reason"
        ],
        "rows": 3000,
        "distinct_predictor_tuples": 3,
        "repeat_coverage": 1.0,
        "deterministic": false
      },
      {
        "target": "rejected_candidate",
        "predictors": [
          "correct_candidate",
          "rejection_reason"
        ],
        "rows": 3000,
        "distinct_predictor_tuples": 12,
        "repeat_coverage": 1.0,
        "deterministic": false
      },
      {
        "target": "rejection_reason",
        "predictors": [
          "correct_candidate"
        ],
        "rows": 3000,
        "distinct_predictor_tuples": 4,
        "repeat_coverage": 1.0,
        "deterministic": false
      },
      {
        "target": "rejection_reason",
        "predictors": [
          "rejected_candidate"
        ],
        "rows": 3000,
        "distinct_predictor_tuples": 4,
        "repeat_coverage": 1.0,
        "deterministic": false
      },
      {
        "target": "rejection_reason",
        "predictors": [
          "correct_candidate",
          "rejected_candidate"
        ],
        "rows": 3000,
        "distinct_predictor_tuples": 12,
        "repeat_coverage": 1.0,
        "deterministic": false
      }
    ],
    "empirical_findings": [],
    "violations": []
  },
  "assertions": {
    "public_schema_exact": true,
    "one_to_one_resolution": true,
    "no_answer_leak": true,
    "no_unrendered_coordinates_or_vocabulary": true,
    "numeric_tolerances_stored_and_stated": true,
    "no_prohibited_derivable_redundancy": true,
    "exact_spec_wording": true,
    "variant_specific_fields_only": true
  },
  "png_recovery": {
    "passed": 3000,
    "total": 3000,
    "failures": [],
    "quantity_recovery_by_subfact": {
      "correct_candidate": {
        "visual_signal": "the target silhouette and candidate pieces",
        "checked_items": 3000,
        "passed_items": 3000,
        "verification_basis": "exhaustive PNG decode plus domain renderer/geometry recovery",
        "supporting_closed_validator_metrics": [
          "png_cube_piece_height_recovery"
        ]
      },
      "rejected_candidate": {
        "visual_signal": "the labelled candidate panels",
        "checked_items": 3000,
        "passed_items": 3000,
        "verification_basis": "exhaustive PNG decode plus domain renderer/geometry recovery",
        "supporting_closed_validator_metrics": [
          "png_cube_piece_height_recovery"
        ]
      },
      "rejection_reason": {
        "visual_signal": "the visible fit, count, reflection, or rotation defect in the rejected panel",
        "checked_items": 3000,
        "passed_items": 3000,
        "verification_basis": "exhaustive PNG decode plus domain renderer/geometry recovery",
        "supporting_closed_validator_metrics": [
          "png_cube_piece_height_recovery"
        ]
      }
    }
  },
  "special_checks": {
    "unique_valid_candidate_items": 3000,
    "graded_target_cube_count_subfact": false,
    "item_1531_target_cube_count": 11,
    "item_1531_visual_recovery": "the upper cube visibly establishes a two-cube supported column; base footprint and column continuity imply the supporting cube, but no target-total count is graded"
  },
  "issues": []
}