face_mono: extend Conjecture 5.26 to n_G ≤ 22

Adds experiments/test_conj_5_26_n_21_22.py, a clause-4 checker that
re-uses find_all_36_witnesses + check_clause_4 from
check_conj_final_scaled.py and runs them on n = 21, 22 with
incremental JSONL output and a 10-minute PROGRESS heartbeat.

Results (139 min wall, single thread):
  n=21: 192 tri, 392,370 colourings w/ clause-1–3 witness, all pass
  n=22: 651 tri, 1,786,314 colourings w/ clause-1–3 witness, all pass
  total at n ≤ 22: 2,321,496 / 2,321,496 (combined with the existing
  142,812 at n ≤ 20 from check_conj_final_scaled.py)

Paper edits:
- Abstract: "|V(G)| ≤ 20 (142,812)" → "|V(G)| ≤ 22 (2,321,496)" for
  the strengthening; clauses-1–3 count unchanged at 535,182 / n ≤ 21.
- Intro paragraph: matching update.
- Remark rem:conj-3-8-empirical table: added n=21 and n=22 rows; new
  total ($n \le 22$) = 959 triangulations, 2,321,496 colourings.
- Updated script reference in that remark to point at
  check_conj_final_scaled.py + test_conj_5_26_n_21_22.py.

COMMENTARY.md summary table: Conjecture 5.26 row bumped to
2,321,496 / 2,321,496 (n ≤ 22).

Also commits the test_*_results.jsonl artifacts (with per-tri
records + n-summaries + grand summary) for reproducibility.

Co-Authored-By: Claude Opus 4.7 <noreply@anthropic.com>

papers/face_monochromatic_pairs/paper.aux

@@ -72,9 +72,8 @@
 \newlabel{rem:deciding-face-empirical}{{5.23}{20}}
 \newlabel{rem:heawood-empirical}{{5.24}{20}}
 \newlabel{rem:conj-3-6-empirical}{{5.25}{21}}
-\newlabel{conj:face-monochromatic-pair-strengthened}{{5.26}{21}}
+\newlabel{conj:face-monochromatic-pair-strengthened}{{5.26}{22}}
 \newlabel{rem:conj-3-8-empirical}{{5.27}{22}}
-\newlabel{rem:implication-4ct}{{5.28}{22}}
 \bibcite{Heawood1898}{1}
 \bibcite{AH77a}{2}
 \bibcite{AHK77}{3}
@@ -85,5 +84,6 @@
 \newlabel{tocindent1}{17.77782pt}
 \newlabel{tocindent2}{0pt}
 \newlabel{tocindent3}{0pt}
+\newlabel{rem:implication-4ct}{{5.28}{23}}
 \@writefile{toc}{\contentsline {section}{\tocsection {}{}{References}}{23}{}\protected@file@percent }
 \gdef \@abspage@last{23}