{
  "case_id": "pearson_appliances_tout_row_pairing_uci_374_v0_1",
  "verdicts": [
    {
      "claim_id": "C1_EXACT_PAIR_COORDINATE",
      "candidate_text": "The admitted member supplies 19735 populated Appliances and T_out pairs under exact same-source-row membership.",
      "verdict": "QUALIFIED",
      "checks": {
        "exact_source_and_schema": true,
        "pair_count_and_identity": true,
        "required_values_present": true
      },
      "allowed_sentence": "The admitted member supplies 19735 populated Appliances and T_out pairs under exact same-source-row membership."
    },
    {
      "claim_id": "C2_PRIMARY_PEARSON_RESULT",
      "candidate_text": "Under the frozen selected bytes and declared same-source-row record pairing, the sample Pearson statistic between Appliances and T_out is r = 0.099154650739960.",
      "verdict": "QUALIFIED",
      "checks": {
        "primary_decimal_result_valid": true,
        "binary64_crosscheck_within_tolerance": true
      },
      "allowed_sentence": "Under the frozen selected bytes and declared same-source-row record pairing, the sample Pearson statistic between Appliances and T_out is r = 0.099154650739960."
    },
    {
      "claim_id": "C3_ORDER_NOT_ENCODED",
      "candidate_text": "Reversing the order of the already formed pairs leaves the computed Pearson statistic unchanged, so this scalar does not retain source-row chronology.",
      "verdict": "QUALIFIED",
      "checks": {
        "common_pair_reversal_exactly_preserves_r": true
      },
      "allowed_sentence": "Reversing the order of the already formed pairs leaves the computed Pearson statistic unchanged, so this scalar does not retain source-row chronology."
    },
    {
      "claim_id": "C4_PHYSICAL_SIMULTANEITY_OVERCLAIM",
      "candidate_text": "Because Appliances and T_out occur in the same published row, they were measured at the same physical instant.",
      "verdict": "REFUSED",
      "typed_refusal": "TIME_BRIDGE_UNRESOLVED",
      "reason": "Same-source-row membership is resolved only as a published-record relation; timezone, measurement-window anchors, and interpolation support remain unresolved.",
      "primary_fracture": "wrong_time_basis",
      "secondary_fractures": [
        "claim_refused_after_generation"
      ],
      "allowed_sentence": null
    },
    {
      "claim_id": "C5_CAUSAL_OVERCLAIM",
      "candidate_text": "The computed Pearson statistic shows that outdoor temperature caused the observed appliance energy use.",
      "verdict": "REFUSED",
      "typed_refusal": "CLAIM_EXCEEDS_CEILING",
      "reason": "The scalar is a symmetric record-level co-variation statistic and contains no identified intervention, causal design, or resolved physical-time bridge.",
      "primary_fracture": "inference_exceeds_evidence",
      "secondary_fractures": [
        "wrong_time_basis",
        "claim_refused_after_generation"
      ],
      "allowed_sentence": null
    },
    {
      "claim_id": "C6_FULL_RELATIONSHIP_OVERCLAIM",
      "candidate_text": "The Pearson scalar is the complete relationship between outdoor temperature and appliance energy use in the house.",
      "verdict": "REFUSED",
      "typed_refusal": "CLAIM_EXCEEDS_CEILING",
      "reason": "A single Pearson scalar does not retain row identities, chronology, distributions, nonlinear organisation, subgroups, formation history, mechanism, or causality.",
      "primary_fracture": "inference_exceeds_evidence",
      "secondary_fractures": [
        "claim_refused_after_generation"
      ],
      "allowed_sentence": null
    },
    {
      "claim_id": "C7_NULL_SIGNIFICANCE_OVERCLAIM",
      "candidate_text": "The independent-permutation control proves population significance and rules out confounding.",
      "verdict": "REFUSED",
      "typed_refusal": "CLAIM_EXCEEDS_CEILING",
      "reason": "The control destroys published-row pairing while preserving marginals; it is not an admitted sampling model, exchangeability proof, causal adjustment, or population-significance test.",
      "primary_fracture": "inference_exceeds_evidence",
      "secondary_fractures": [
        "claim_refused_after_generation"
      ],
      "allowed_sentence": null
    },
    {
      "claim_id": "C8_PHYSICAL_LAG_REQUEST",
      "candidate_text": "Shift T_out by one ten-minute physical lag and interpret the resulting coefficient.",
      "verdict": "REFUSED",
      "typed_refusal": "TIME_BRIDGE_UNRESOLVED",
      "reason": "A row offset cannot be promoted to a physical lag while timezone, window anchors, and weather interpolation support remain unresolved; no lag coefficient is computed.",
      "primary_fracture": "wrong_time_basis",
      "secondary_fractures": [
        "claim_refused_after_generation"
      ],
      "allowed_sentence": null
    }
  ]
}