{
 "tm": "1RB0RC_1LC1RB_0RE1LD_0LC1LA_1RF1RA_---0RB",
 "status": "KILLED_NONHALT",
 "stage": "done",
 "updated": "2026-10-13",
 "reason": "check_kill PASS, independently re-verified",
 "label": "W5-4",
 "confidence": "high",
 "template": "verify/BECv5.v, Module TM1 (architecture: one es lemma per low-level rule, one counter-form lemma per macro rule; via our W4-2 kill)",
 "siblings": [],
 "family_note": "Canon over all 6 starts (renaming + mirror): only start A is on the 778/740 lists (starts B..F halt within 44 steps). No 740 entry within 2 transitions of any renamed/mirrored form. Eqv group in 2026-10-07_eqv_1590.txt is a singleton.",
 "checks": {
  "byte_exact": "data/holdouts/BB6_holdouts_740.txt line 525 (holdouts.py contains: exit 0)",
  "claims": "none (sheet results.csv row 1044: class only; no data/discord hit)",
  "upstream": "holdouts.py solved: absent from verify/ (no byte-exact, notation-only or equivalent entry)",
  "rules": "scripts/validate_rules.py seed 3, 150 per kind: all pass; B0c 180/180; nested B2'' model 252/252 + 4 halts (Y=111) vs TM brute force",
  "coverage": "closed rules + nested model on work/direct_all_events_1e9.txt: 204,951/204,953 exact (2 tiny events before step 30)",
  "abstract_vs_direct": "scripts/absim2.py (no TM simulation) = work/cycle_starts_1e11.txt at 4,197/4,197 cycle starts",
  "transients": "scripts/transient.py from T(L), L = 10..38 closed rules and 10..56 with TM fallback: all LOCK, no halt",
  "invariant": "scripts/invariant.py: Lemma K + M, 0 failures on w 3..31 n < 2^(cap+3) (6,810,622 states), w 3..16 n < 2^(cap+10) (1,132,222) and w 3..12 n < 2^(cap+14) (2,424,478); work/invariant_*.txt",
  "sign_law": "scripts/signlaw.py: TM level 7,977/7,977 random family configurations (seeds 1, 2); rule level 7.3M applications, 0 failures (work/signlaw_seed2.txt)",
  "F_vs_tm": "scripts/check_F_vs_tm.py: closed-rule cycle map = direct TM run on 300/300 random states of I (n <= 700)",
  "entry": "blank run: cycle start (6,5,0) at step 327 is in I, and so are all 304,194 later cycle starts checked (direct run to 1e11, then 300,000 closed-rule cycles)",
  "continuation_lemmas": "scripts/contlemmas.py kwin: A1 (p_c >= 2^L_c - 3, min slack 0), composite form F(s) = (p_c+2) + G^k(t_2) and A2 on 533,148 continuation cycles (w <= 27) + 151,880 (w <= 15, n < 2^(cap+10)), min d' = 5",
  "inner_levels": "scripts/contlemmas.py jwin: Lemma J (G maps J to J, no halt, no gap) on 1,920,333 + 479,621 states; Z' on 239,786 + 906; K-persistence on 1,680,547 + 478,715",
  "halting_set": "scripts/contlemmas.py hstar: the cycle from (n, w, v), w >= 3, n >= 3, halts iff it is in H* on 610,121 (w <= 24) + 606,121 (w <= 12, n < 2^(cap+12)) states",
  "nested_gform": "scripts/contlemmas.py gform: nested bite = k - 1 G-steps from (3, Z >> (k+1)), 20,000/20,000 vs scripts/nested.py",
  "random_large": "scripts/contlemmas.py random seed 2: 200,000 states, w <= 75, n up to 2^(cap+6): 0 failures (Lemma K, A1, CF, A2, J, Z', K-persistence)",
  "tm_level_shift": "scripts/contlemmas.py tm seeds 1, 2: 500 random states (151 J with d <= 1, 349 K): TM run from R(0, n, Z) pops at G(t) and from R(-1, n, Z) at F(t), 500/500 both",
  "check_proof": "check_proof.py (self-contained TM simulator + abstract model), after skeptic round 1: default seed 1 81/81 PASS in 107s (work/check_proof_seed1.log); quick seeds 1, 2 80/80 (work/check_proof_quick_seed*.log); --full seed 1 partial: T..CH 74/74 PASS (CH w <= 27, 1,527,624 K states) and INV window w <= 24, n < 2^(cap+4) PASS (610,121 states, 132,766 continuation cycles), work/check_proof_full_seed1.log + work/check_proof_full_seed1_INV.log; the second --full INV window (w <= 14, n < 2^(cap+11)), the random states and Z were stopped unfinished after 35 min (overflow_count/outer_trace step R1 rounds one at a time). New checks: MAC.round at p = -1 (450 runs, any L), SH with p0 in 0..8 (SL1 on the TM), ABS bite-zone widths, CH parts of NB and the w = 1 reductions, INV CF-J (own-frame composite form), NB as n(F s) >= n - m."
 },
 "funded": {
  "option": "proof",
  "date": "2026-10-13"
 },
 "outcome": "killed_nonhalt",
 "skeptic": [
  {
   "round": 1,
   "date": "2026-10-13",
   "verdict": "sound",
   "gaps": 5,
   "severity": "all minor",
   "result": "all fixed; proof.md Review log; no lemma changed"
  }
 ],
 "kill": {
  "file": "1RB0RC_1LC1RB_0RE1LD_0LC1LA_1RF1RA_---0RB.v",
  "sha256": "f61649bdc6b6e97b170ccd8b89a210e50f4714d06d97a352c620e62d712574fc",
  "lines": 1039,
  "check_kill": "PASS (fresh run 2026-10-13T20:03:57Z: compile 34.7 s native, coqchk pass 4.6 s, 0 assumptions; also rocq/check_kill_round2.log and the independent auditor run 2026-10-13T20:01:12Z, same sha256)",
  "route": "bounded induction on steps (U_all, CPS form) with phase invariants Saf/KI/ZI; stack of frames FR; (U5) in place of NB",
  "submission": "submission/",
  "discord": "submission/discord.md, not posted (fill in <LINK>; search #bb6 first)"
 },
 "next": "post the Discord draft (submission/discord.md, not posted; fill in <LINK>, search #bb6 first); add to the next upstream PR batch",
 "pr": "https://github.com/ccz181078/busycoq/pull/28",
 "pr_state": "merged",
 "pr_file": "verify/M_1RB0RC_1LC1RB_0RE1LD_0LC1LA_1RF1RA_HHH0RB.v",
 "pr_opened": "2026-10-15T22:48:46Z",
 "pr_comments": 0,
 "pr_head_sha": "051e8bb8e95d65bd1b0d905760f7e66e6cbf7a31",
 "posted": "2026-10-15 (Discord; user confirmed sent)",
 "pr_merged_at": "2026-10-16T07:09:19Z",
 "pr_merged_by": "ccz181078"
}