{
 "tm": "1RB0RA_1RC0RD_1RD0LC_1LE1RA_---1LF_1RB0LC",
 "bucket_reason": "med confidence; the funded decider stage (decider2) found no certificate, so what remains is a multi-stage hand proof or parking",
 "question": "The decider route found nothing (384 hlin and 178 CTL runs, all false): start the hand proof with one stage that pins the open rules, or park W4-7 and its sibling 707?",
 "options": [
  {
   "id": "hand",
   "label": "Hand proof, first stage: pin the open rules (about 2 h)",
   "consequence": "Exact rules for the bell hand-over E (both ways), the carry J2 past a wide 2 and the second field's size at each left-end visit, each validated from random instances; then proof.md (two bells + ternary counter with wide digits) and Rocq in later stages. Stop rule: park if the field-size law is still not exact after this stage."
  },
  {
   "id": "park",
   "label": "Park W4-7 (and 707)",
   "consequence": "No further cost now. Both stay holdouts; the extracted hlin and CTL runners, the grids and the traces stay in scripts/ for reuse."
  }
 ],
 "recommended": "hand",
 "rationale": [
  "All 384 hlin runs (317, 707) and 178 CTL runs were false; the framework has no side rule for wide digits.",
  "Mechanism mostly pinned (13 rules, 200/200 each) and not cryptid-like; 707 shows the same two fields.",
  "Open: E, J2 and the second field's size law; the first stage tests exactly these, with a stop rule."
 ],
 "evidence": [
  {
   "kind": "figure",
   "text": "Fig 3: records from start A (ours): the second field shows as vertical streaks",
   "href": "img/records_1e8.png"
  },
  {
   "kind": "fact",
   "text": "hlin decider extracted and calibrated against Coq (cert start B true in 0.01 s); 384 configs on 317/707 (block size 0-12, T up to 1e6, fuel up to 1e6): 0 true",
   "href": "scripts/hlin_extract/summary.json"
  },
  {
   "kind": "fact",
   "text": "200 left-end visits to 3e7: field 1 grows by exactly 1 block each time (199/199); the second field's first segment by 0 (133 times) or 1-8 (66)",
   "href": "data/left_visits_3e7.json"
  },
  {
   "kind": "fact",
   "text": "13 local rules validated 200/200 (F, K1-K6, I0-I2, J0, J1); E and J2 seen in traces only",
   "href": "data/validation.json"
  }
 ],
 "effort_if_yes": "about 2 h of agent time for the first stage (light simulation, no Coq); proof.md and Rocq are later stages",
 "updated": "2026-10-11",
 "answer": {
  "option": "hand",
  "note": "Dennis: apply recommendations (2026-10-12)",
  "date": "2026-10-12"
 }
}