Add kempe_regular_family_test.py (fixed family, per-tile early-exit, --branch-only).
Threads 614/614 at n=12 but FAILS at n=15 on two classes of no-separating-triangle
tiles: non-branching large-even-outer + odd inner (UUUUUUDUDUDUDUD, p=10, face 5) and
branching odd-outer + two even inner faces (UDUDUDDUDUDDDDD bite=(5,12), p=5, [4,4];
11/1022 branching fail). This is the R_T coupling (not a product) biting at scale: the
uniform family sets outer/inner states independently per size. The shortcut was
stronger than the chain-pigeonhole conjecture (which allows per-interface freedom), so
its failure costs a constructive route, not the conjecture; pairwise overlap still
holds. Next line: per-interface R_T composition respecting coupling.
Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
didericis
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