{
 "tm": "1RB0RA_1LC0LF_1LE0LD_1LB---_1RA1LB_0LB0RC",
 "bucket_reason": "Priority call: the recovery stage ended STUCK at one lemma, at confidence med. The generic size lemma is now proved, but the leading-spacer recovery is only true by exhaustive test, so proof work waits for Dennis (CLAUDE.md).",
 "question": "With #29's generic size lemma proved and only the leading-spacer recovery left (true on all 265,642 test words, unproved), fund one last ~2 h stage on it with a hard stop, or park #29 as STUCK now?",
 "options": [
  {
   "id": "tight",
   "label": "One last ~2 h stage on the recovery lemma",
   "consequence": "The agent uses the equality cases of the proved chain (h = Hub = G = D) to pin down the words a tight leading-spacer failure produces. It then proves that the next eat stops below the surviving t and that every v unit is met by a C run, never by the B carry. Exit: proof.md at medium-high confidence; if those words are not pinned to a family with a proof inside the stage, #29 is parked STUCK with no further stages."
  },
  {
   "id": "park",
   "label": "Park #29 as STUCK now",
   "consequence": "No compute. Status stays STUCK with the open lemma stated exactly (the recovery within 3 epochs from any t-free leading-spacer eat word). EATU, the Hub lemma, the generic proof and all tests stay in notes.md and deepen.json for a later family pass with R2."
  }
 ],
 "recommended": "tight",
 "rationale": [
  "All else is proved on validated unit rules (EATU, Hub lemma, generic chain: 0 failures).",
  "Recovery held on all 265,642 leading-spacer words to 13 units (0 halts); only the proof is missing.",
  "Risk: arbitrary surviving-t words halt (862/2,179); the hard stop caps the cost."
 ],
 "evidence": [
  {
   "kind": "fact",
   "text": "EATU, the eat as one unit rule: P and delta exact on 1,070,595/1,070,595 words (all t-free words to 13 units + 20,000 random).",
   "href": "scripts/recovery/eatu_validate.json"
  },
  {
   "kind": "fact",
   "text": "Generic lemma chain h <= Hub(P) <= ... <= G(W) <= D-1: every link holds on all 294,590 words with a t (to 12 units).",
   "href": "scripts/recovery/generic_chain_L12.json"
  },
  {
   "kind": "fact",
   "text": "Leading-spacer recovery: 265,642 words to 13 units, 8 epochs each: 0 halts, at most 3 epochs with a t.",
   "href": "scripts/recovery/leadrec_L13_E8.json"
  },
  {
   "kind": "fact",
   "text": "Arbitrary surviving-t eat words are unsafe: 862 of 2,179 halt (the eat reaches the t, or the B carry reaches v = 110).",
   "href": "scripts/recovery/survshape_s_L8.json"
  }
 ],
 "effort_if_yes": "One ~2 h stage with 1-2 light processes (Python plus the existing C oracles), no Rocq. It returns proof.md at medium-high confidence, or a final STUCK park.",
 "updated": "2026-10-10",
 "answer": {
  "option": "tight",
  "note": "Dennis: go with recommendations (2026-10-11)",
  "date": "2026-10-11"
 }
}