OPE-3: n-queens fresh Scout dossier + Level B statement pin (board-named) - #3
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… pin - Disambiguate five "n-queens" readings on the feasibility rubric; target (a) existence iff n≠2,3 scores 88; expected known-classical, formalize-only - Pin Lean-shaped statement: NonAttacking (Fin n → Fin n, injective + both subtraction-free diagonal families) and n_queens_exists_iff; n=0 convention - Novelty pre-screen: local Mathlib a719ba5c31 (v4.10.0) grep, ZERO named n-queens theorem; literature handles Pauls 1874 / HLM 1969 / Bernhardsson 1991 / Bell–Stevens 2009; PR Paul3435#174 Level A cited as prior art, not solution - Catalog row → shortlisted; ledger block + table row; mathforge score run - Verify: python3 test_mathforge.py (11 OK); python3 bin/mathforge status
This was referenced Sep 12, 2026
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Summary
n-queensas a board-named, full-process run (parent OPE-2). Five readings disambiguated ondocs/FEASIBILITY_RUBRIC.md: (a) existence iff n≠2,3 — 88, TARGET; (b) counting Q(n) 54; (c) Simkin asymptotics 28; (d) completion NP-complete 36; (e) toroidal Pólya 80 (different theorem, out of scope).catalog/problems/n-queens/STATEMENT.md:NonAttacking (q : Fin n → Fin n)= injective + both subtraction-free diagonal families;theorem n_queens_exists_iff (n : ℕ) : (∃ q, NonAttacking q) ↔ (n ≠ 2 ∧ n ≠ 3); n=0 convention stated; what-counts-as-done + out-of-scope list.a719ba5c31(v4.10.0): ZERO named n-queens theorem (commands + hit list in DOSSIER.json). Literature: Pauls 1874; Hoffman–Loessi–Moore 1969; Bernhardsson 1991; Bell–Stevens 2009. "Gauss 1850" corrected to the 8×8 count only.shortlisted(PR OPE-1424: n-queens Level A (n=2 none / n=3 none / n=4 [1,3,0,2]) Paul3435/open-math-lab#174 Level A history kept intickets/artifacts/prior_art); ledger update block + table row;mathforge score n-queensrun (problems/n-queens/feasibility.json).Paperclip
Math honesty
ProofLab/NQueens.lean(PR OPE-1424: n-queens Level A (n=2 none / n=3 none / n=4 [1,3,0,2]) Paul3435/open-math-lab#174) is cited as prior art / reusable encoding, not as a solution; the namesake was left residual there.Fin+ the n mod 6 ∈ {2,3} list surgery.Test plan
python3 test_mathforge.py -v— 11 tests OKpython3 bin/mathforge statuscatalog/problems.json+DOSSIER.jsonBoard