Rocq log: 1RB0RD_1RC1RF_1LD0LE_1RA0LC_1RE1LC_0RA---
Formalization round 1 (2026-10-10)
Result: check_kill PASS, exit 0, on the first compile and the first check_kill run.
- Kill file: 1RB0RD_1RC1RF_1LD0LE_1RA0LC_1RE1LC_0RA---.v, 1,309 lines, sha256 a12c060311a6a0b94054174d5882ac2316ec37e22b464ee475b6d30bf877128e.
- check_kill: compile 54.4 s (native on), coqchk -norec 17.4 s, 0 assumptions (Print Assumptions: closed). Full output: rocq/check_kill.out.
- Dev compile (temp dir in the session scratchpad, ulimit -s unlimited; ulimit -v 8000000): 52.2 s wall, max RSS 0.86 GB.
How the file was made (proof.md §5 recipe, no hand edits to proof scripts)
Source: kill #3's on-disk .v, sha256 cfa603a3…3031 (1,303 lines, check_kill PASS).
1. Simultaneous rename of {{X}} via placeholders, rho: {{A}}->{{D}}, {{B}}->{{A}}, {{D}}->{{C}}.
Counts before: A 4, B 12, D 19 (C, E, F 0). After: D 4, A 12, C 19, as proof.md §5 predicted.
2. TM_from_str "1RB0RD_1RC1RF_1LD0LE_1RA0LC_1RE1LC_0RA---".
3. init0 : c0 -->* K 2 [(7,4,false)] TN (402 steps, esx; unused, kept for parallelism).
4. base := [(47,32,false); (40,33,true); (13,34,true)] (3 pairs, L* = 3); init is the parent's script,
an esx over 38,732 steps.
5. J_base, Jstep, all inv_*/ob_* lemmas and nonhalt: verbatim. Checked by awk-extracting
Require Import ZifyNat .. Lemma nonhalt from both files: byte-identical.
6. Comments: house-style header (rho, start state, 38,732, template line kept as "Loose template:
verify/SBCv6.v, Module TM21", AI line, "Checked: ... busycoq BB6 (commit 0940bb9) ...; Print Assumptions
nonhalt: Closed under the global context."), the Start section comment, and the closing rule-table
block (TM line with rho, <D in K, the start line c0 -->(402) K(2; (7,4,0); -) -->(38,330) K(2;
(47,32,0),(40,33,1),(13,34,1); -)). No repo-local path prefixes in the file (grep clean).
- Full textual delta vs #3: rocq/delta_vs_parent3.diff (48 parent lines changed, all in comments, the 14
sweep-lemma statements + K + 3 sweep-composition statements, the TM string, init0 and base).
What failed
Nothing. Every es sweep lemma re-closed unchanged under rho (Lemma R). J_base's cbn; repeat split; lia
closes the 3-pair base, including the tight clause h + 4(tv+w) + 6 = 48 >= 12w = 48.
Packaging (2026-10-10)
- Fresh check_kill for the submission, 19:26:21Z: PASS, 17/17, compile 52.4 s (native), coqchk 17.5 s, 0 assumptions, 73 s wall (
rocq/check_kill_submission.out, copied tosubmission/check_kill.txt). submission/: the .v (same sha256), proof.md (built byrocq/make_submission_proof.py; working proof.md untouched), parent-proof.md (#3's submission proof.md, verbatim), check_kill.txt, README.md, discord.md (1,529 characters plus<LINK>, not posted).