{
 "tm": "1RB0RA_1RC0RD_1RD0LC_1LE1RA_---1LF_1RB0LC",
 "bucket_reason": "med confidence at observe; the cheap route (the certified sibling's decider config) failed on our start",
 "question": "Spend one more short stage on decider configurations, or go straight to a hand proof (two bells + ternary counter)?",
 "options": [
  {
   "id": "decider2",
   "label": "One more decider stage (about 1 h)",
   "consequence": "Try block size 0/6, an extra side rule for wide digits, larger max_repeater_len, T up to 1e5, for 317 and 707 (~2 min of coqc each). A pass gives a short .v plus Flip.v."
  },
  {
   "id": "hand",
   "label": "Hand proof now",
   "consequence": "Pin I1 and E, write proof.md (invariant: two bells + counter with idle-field low digits), then Rocq from BellEatsCounter_1RB0RF.v or SOMDCv6; several stages."
  },
  {
   "id": "park",
   "label": "Park",
   "consequence": "Leave W4-7/707 for later; no further cost now."
  }
 ],
 "recommended": "decider2",
 "rationale": [
  "The certified start of this table is proved by the decider in 4.4 s; ours adds one bell and wide counter digits.",
  "Decider tries are cheap (~2 min each); a hand proof is multi-stage with two unpinned rules (E, J2)."
 ],
 "evidence": [
  {
   "kind": "figure",
   "text": "Fig 3: records from start A (ours): vertical streaks = the second field",
   "href": "img/records_1e8.png"
  },
  {
   "kind": "figure",
   "text": "Fig 2: close-up of bell steps and counter trips",
   "href": "img/pass_closeup.png"
  },
  {
   "kind": "fact",
   "text": "Cert's decider config on our flipped table: false for T = 746..20000 and mnc 3/4; sibling 707 false at T = 745; cert itself proved in 4.4 s",
   "href": "rocq/grid.log"
  },
  {
   "kind": "fact",
   "text": "13 local rules validated 200/200 (F, K1-K6, I0-I2, J0, J1); E and J2 unpinned",
   "href": "data/validation.json"
  }
 ],
 "effort_if_yes": "about 1 h of agent time, coqc in the background (one at a time)",
 "updated": "2026-10-11",
 "answer": {
  "option": "decider2",
  "note": "Dennis: go with recommendations (2026-10-11)",
  "date": "2026-10-11"
 }
}