{
 "tm": "1RB0RA_1LC0LF_1LE0LD_1LB---_1RA1LB_0LB0RC",
 "bucket_reason": "Priority call: the mechanism is at medium confidence (rounds ruled, the eat not), so proof work waits for Dennis (CLAUDE.md). Only the observe pass has run; no deepen pass yet.",
 "question": "#29's rounds, overflow and marker are ruled (99.7% of K-transitions to 1e10), but the grid-shifting eat is not. Spend one ~2 h deepen stage ruling the eat, or park #29 as STUCK?",
 "options": [
  {
   "id": "deepen",
   "label": "Fund one ~2 h deepen stage on the eat",
   "consequence": "The agent turns the eat events to 1e10 (already dumped in data/kscan_eats_1e10.txt) and the 334 shifted carries into unit-word rewrites. It fits a unit-level transducer: grid re-read 100->010, 000->000, 010->001, then the mini-eats. It then fuzzes a candidate reachable-word language for closure. Exit: if the language is closed, proof.md comes back to you at medium-high confidence. If mini-eat safety depends on the counter's bits (about N mod 2^D) non-locally, #29 is flagged under the cryptid protocol and parked."
  },
  {
   "id": "deepen_with_r2",
   "label": "The same stage, run jointly with sibling R2 (F0 = 0LD)",
   "consequence": "One analysis for both bell-eats-counter siblings. R2 shares R1/R3/R4/R5 but fails the marker step R7 (0/20) and is itself at low confidence, so the eat work would probably split in two. Expect about 2 stages instead of 1."
  },
  {
   "id": "park",
   "label": "Park #29 as STUCK (stage observe)",
   "consequence": "No compute. Status becomes STUCK with the eat as the stuck point. The 11 validated rules and the K-moment dump stay for a later family pass, and the slot goes to machines with fewer unknowns."
  }
 ],
 "recommended": "deepen",
 "rationale": "Everything except the eat is exact. ROUND matches 870,221 of 872,741 K-transitions with 0 mismatches, OVERFLOW matches 2,382/2,382, and the right half is tm108's proven HR1/HR2/HR3/HE2. The eat is only 0.29% of transitions, but it is the whole proof problem. Random eats over the four unit types halt about 5% of the time, so the invariant has to be the reachable language, and nobody has written that down yet. #29 has had only the observe pass. #18, the other bell-eats-counter machine in this queue, closed its eat for aligned counters in its first deepen round with block-level rewrite rules, the same kind of rules this stage would fit. The cryptid risk (the eat consumes N mod 2^D) is real but untested, and a deepen stage is the cheapest way to settle it. Parking now would shelve a nearly ruled machine. Joint work with R2 is not worth it yet: R2's marker step differs, and R2's own decision proposes its own stage.",
 "evidence": [
  {
   "kind": "data",
   "text": "K-moment coverage from blank to 1e10: 872,741 transitions, 870,221 exactly ROUND, 0 mismatches. Not ruled: 1,756 after b = 0 eats, 430 mini-eats, 334 carries into shifted segments. No halt.",
   "href": "data/coverage_K_1e10.json"
  },
  {
   "kind": "rules",
   "text": "11 rules checked by direct simulation on random instances (seed 20261010): R1-R8 60/60 each, ROUND 372/372 with the exact step formula, OVERFLOW 150/150, EAT shape on aligned W 400/400 (shape only, not exact).",
   "href": "validation.json"
  },
  {
   "kind": "probe",
   "text": "Random eat inputs that contain 001 units often halt. Banning the 100-001 pair still leaves 29 of 542 halting, so the safe language is finer than a ban on unit bigrams.",
   "href": "scripts/analysis/closure.py"
  },
  {
   "kind": "template",
   "text": "Only E1 differs from BECv1 tm108 (verify/BECv1_6x2_solved.v:872), and its HR1/HR2/HR3/HE2 hold here as R1/R7/R3/R8. solve_BECv1 cannot express the 3-cell digits or the grid shift; the closest proof styles are BECv7/BECv8.",
   "href": "notes.md"
  },
  {
   "kind": "figure",
   "text": "One eat, step by step (steps 19,500-20,399): the marker walks into the counter, eats near step 19,830, then the head runs to the right end and the marker is reborn.",
   "href": "img/eat_closeup_19500.png"
  },
  {
   "kind": "risk",
   "text": "The cryptid check is undecided. The eat consumes the counter's bit pattern at eat time (about N mod 2^D), and if later mini-eat safety depends on those bits, the cryptid protocol applies.",
   "href": "notes.md"
  },
  {
   "kind": "sibling",
   "text": "Sibling R2 (F0 = 0LD) is at CHECKPOINT_A with low confidence. It passes R1/R3/R4/R5 but fails R7, so its eat is a different problem; its own decision recommends a separate deepen stage.",
   "href": "../1RB0RA_1LC0LF_1LE0LD_1LB---_1RA1LB_0LD0RC/decision.json"
  }
 ],
 "effort_if_yes": "One ~2 h deepen stage with 1-2 heavy processes. It reuses data/kscan_eats_1e10.txt, so no new long runs are needed, and there is no Rocq work. It returns either a proof.md go/no-go or a park/cryptid flag.",
 "updated": "2026-10-10",
 "answer": {
  "option": "deepen",
  "note": "Dennis: go with all recommendations (2026-10-10)",
  "date": "2026-10-10"
 }
}