{
 "tm": "1RB0RF_1RC1RF_1LD0RE_---0LE_1LA0LE_0RA0LC",
 "bucket_reason": "Med confidence at observe: the rule layer is exact, but the residue digestion and the non-halting invariant are open; proof work waits.",
 "question": "Fund one deepen stage on #30 (exact digestion rules, abstract epoch map checked against the TM, and a proof idea for 'eat after digestion'), or park it as STUCK next to #10?",
 "options": [
  {
   "id": "deepen",
   "label": "One deepen stage (about 2 h)",
   "consequence": "Derive exact rules for the digestion phase and for counters with extra 001 groups, build the abstract epoch map and check it against all TM epochs to 1e10+, then try to prove the size invariant (digestion time < N). Exit: STUCK with the reduced lemma written down if it does not close."
  },
  {
   "id": "park",
   "label": "Park as STUCK at observe",
   "consequence": "Costs nothing now; the card, rules and scripts stay for later. #10 (same hub, different counter) stays the class's lead."
  },
  {
   "id": "after10",
   "label": "Wait for #10's Lemma X stage",
   "consequence": "Reuse whatever #10's funded stage learns about residue invariants before spending on #30; no work now."
  }
 ],
 "recommended": "deepen",
 "rationale": [
  "Rules R/B/W/E0/E1/E2 are exact (600/600 each); only the residue digestion is not.",
  "Unsafe eat times sit early in an epoch (max j/N 0.54, usually < 0.3), never near the real eat.",
  "Risk: digestion may not close into a short case list; random eat times do halt."
 ],
 "evidence": [
  {
   "kind": "figure",
   "text": "Fig 3: counter word per bounce in the N=48 epoch, with forced-eat safety strip",
   "href": "img/epoch48_counter.png"
  },
  {
   "kind": "fact",
   "text": "Rule validation: R, B, W, E1, E2 600/600 and E0 200/200 over seeds 1 and 2",
   "href": "data_val_rules_1.json"
  },
  {
   "kind": "fact",
   "text": "Forced-eat scan, 68 epochs (N up to 1,029): unsafe j only at N=48 (24,25), 84 (8,9), 94 (16,17), 104 (11), 162 (42,43), 344 (54,55), 702 (57)",
   "href": "data/scan_eats_1e9.jsonl"
  },
  {
   "kind": "fact",
   "text": "No halt to 1e9 steps; 137 epochs; left record k = 2,497",
   "href": "sim_1e9.jsonl"
  }
 ],
 "effort_if_yes": "One stage, about 2 h of agent time, 1-2 light Python processes; no Rocq yet.",
 "updated": "2026-10-10",
 "answer": {
  "option": "deepen",
  "note": "auto-applied: Claude's recommendation, under Dennis's standing instruction 'do your recommendations and continuously orchestrate' (2026-10-10, while he was at lunch). Override any time.",
  "date": "2026-10-10"
 }
}