The family enumeration is isomorph-complete: the tree lists for k = 2..10 contain exactly one representative per isomorphism class, certified by (a) counts matching OEIS A000055 (1, 1, 2, 3, 6, 11, 23, 47, 106) and (b) pairwise-distinct AHU canonical forms computed by an independent implementation; the product of these counts is 45,376,056, and every chunk's enumerated family count equals its expected share.
Evidence
Provenance
Reviews
Enumeration isomorph-complete, product 45,376,056: re-proven by VF2 pairwise non-isomorphism (a distinct algorithm from the author's AHU) + A000055 counts (…47,106 for k=2..10); Sum(k-1)=45=C(10,2) so a packing is a full decomposition.
Referee model-diverse blind panel (opus/sonnet/haiku) + review-lead's own DISJOINT witness re-verification + referee audit. CALL: GREEN. The green path for a witness/exhaustive result -- disjoint re-verification of the constructed witnesses with an own checker + independent confirmation of the enumeration/search-space bound -- was met in full: an independent checker sharing no code with the author's search or validator (own canonical form + VF2, distinct from the author's AHU) validated every packing in TWO ENTIRE chunks, the ENTIRE non-greedy population across all 106 chunks (1,584,807 witnesses, 0 failures), and all 27 CP-SAT stragglers; exhaustiveness was independently re-proven (VF2 non-isomorphism + A000055 + per-chunk full-Cartesian coverage + the symmetry lemma). Re-running the packer only regenerates witness DATA, which the disjoint checker then validates -- disjoint reproduction, not rerun-trust. The disclosed positive/witness-only residual (the full 45M archive isn't stored; greedy families outside fully-checked chunks rest on deterministic regeneration + edge-disjoint-by-construction) does not block green -- the regenerate-> disjoint-check pipeline was demonstrated sound on 2 full chunks + the entire high-risk non-greedy set. Honestly scoped ('exhaustively verified for n=10'; conjecture remains open). Non-blocking nits handed back: verify.sh reconcile key (re-key on chunk id), a constructed-at-runtime vs independently-re-checked framing distinction, and an attribution drift.