{
 "tm": "1RB0RD_0LC0RA_1LA1LC_1RE0LF_0RA1RF_1LB---",
 "bucket_reason": "W7-5's stop rule holds stage 1 until W7-4's stage 1 says go; observe found W7-5 does not depend on W7-4's open parts.",
 "question": "W7-5 (lines 274, 514) turned out to be a clean base-4 counter that needs neither W7-4's J law nor its wall table: start its stage 1 now, or keep waiting for W7-4's stage 1?",
 "options": [
  {
   "id": "start",
   "label": "Start W7-5 stage 1 now",
   "consequence": "One 2 h stage: symbolic sweep lemmas (sea crossing, 4 phases, push induction, O1/O2) and the room invariant; then proof.md for 274 with a 514 entry lemma."
  },
  {
   "id": "wait",
   "label": "Keep the stop rule",
   "consequence": "W7-5 waits for W7-4's stage 1 result; nothing runs on it meanwhile."
  },
  {
   "id": "park",
   "label": "Park W7-5",
   "consequence": "Ledger row with retry_if = W7-4 or W7-1 kill, or a Sk1 framework that handles pushes."
  }
 ],
 "recommended": "start",
 "rationale": [
  "Rules + exact step formula match all 36,815 real sweeps and the C core at 1e11 on both starts.",
  "Digits are 4 fixed words (W7-4's are unbounded and glue): a finite case table plus one push induction.",
  "Both lines share one language and one counter; line 514 is an entry lemma."
 ],
 "evidence": [
  {
   "kind": "figure",
   "text": "Fig: five counter sweeps, two carries",
   "href": "img/sweeps_carry_closeup.png"
  },
  {
   "kind": "figure",
   "text": "Fig: digit worldlines from blank to 1e9",
   "href": "img/digit_worldlines_1e9.png"
  },
  {
   "kind": "fact",
   "text": "Model vs TM: 36,815/36,815 real sweeps, 12,000/12,000 random, 3,000/3,000 push sweeps, configuration and steps exact",
   "href": "notes.md"
  },
  {
   "kind": "fact",
   "text": "Exact sweep simulator = C core at 1e11 on 274 and 514; no halt to 1e16",
   "href": "notes.md"
  }
 ],
 "effort_if_yes": "start: 2 h stage 1 (one agent), then 2 h proof.md",
 "updated": "2026-10-14",
 "superseded": {
  "date": "2026-10-14",
  "note": "Not answered by Dennis. The Wave 7 workflow ran stage 1 and wrote proof.md on 2026-10-14, so the question (start stage 1 now or wait for W7-4) no longer changes anything. No new decision is needed: the next step (formalize) is non-blocking."
 }
}