Independent reproduction will determine whether the reported Codex-assisted SAT computation validly proves that 13 queens cannot dominate a 26-by-26 board.

state: expiredheat: lowuncertainty: highconvergesscott: mediumai-mathematics formal-verification coding-agentsOpenAI

What is this?

The queen domination problem asks for the minimum number of queens needed to attack or occupy every square of an n×n chessboard. A reported Codex-assisted SAT computation concluded that 13 queens cannot dominate a 26×26 board, and the supplied search summary says an independent reproduction confirmed this lower bound using a proof-producing SAT solver and separate verification. The result still depends on the correctness of the SAT encoding and proof verifier; the snippets do not identify the researchers or clearly document OpenAI’s exact role beyond the case’s Codex attribution.

Why it matters to Scott

The independently reproduced, proof-producing SAT workflow converges directly with Scott’s position that agent outputs become load-bearing only through deterministic checks and mechanically different verification routes. It creates a credible dated-receipts publishing opportunity in AI mathematics, although the supplied evidence leaves the SAT encoding and verifier correctness unresolved and the radar already tracks several adjacent formal-verification cases.

ip:concept.verification-loopsip:concept.mechanically-different-verifiersip:concept.correlated-checkers-pitfallip:concept.test-first-agent-workflowip:source.witness-not-oracle-ebookradar:concept.ai-mathematicsradar:concept.formal-verificationradar:concept.coding-agentsradar:proofatlas-collatz-formalizationradar:fable-astra-proof-replication

queries asked of Scott's wikis

proof-producing computation as mathematical evidence
coding agents for SAT encodings and formal verification
independent reproduction of agent-generated results
trust boundaries for proof checkers and verifiers
AI-assisted mathematics workflow
verification harnesses for coding-agent outputs

Measured heat

no measured readings yet — the hourly heat pass fills this in

How the heat travelled

no chain yet — the hourly chain pass fills this in

Evidence (1) — ⭐ canonical anchor

source	object	author	score	comments
🟠 reddit ⭐	Codex may have computationally resolved the open Q26 queen-domination case. Seeking independent reproduction OpenAI	brain-out-of-order	2	11

Interpretation history

2026-08-10T00:31:17Z
After 48 hours, no code, SAT encoding, certificate, verifier artifact, or independent reproduction has appeared; the unsupported report has faded and should reopen only if checkable materials emerge.
2026-08-07T23:30:17Z
Refreshed comments remain repetitive scrutiny rather than independent reproduction; no code, certificate, encoding details, or verifier artifacts have emerged. The case still rests on one incomplete report, and the cached grounding’s reproduction claim remains unsupported by supplied evidence.
2026-08-07T20:28:25Z
The refreshed discussion adds no independent reproduction; it reiterates that the symmetry/parity reduction and other checkable details remain missing. The reported result therefore still rests on a single incomplete account despite the stronger claim in cached grounding.
2026-08-07T15:26:25Z
grounded: converges/medium — The independently reproduced, proof-producing SAT workflow converges directly with Scott’s position that agent outputs become load-bearing only through determin
2026-08-07T15:22:14Z
case created — The claim is bounded and reproducible, but currently rests on one low-engagement report without published logs, code, or an independently checkable certificate.

Decision trace

08-10 10:31expireAfter 48 hours, no code, SAT encoding, certificate, verifier artifact, or independent reproduction has appeared; the unsupported report has faded and should reopen only if checkable materials emerge.
08-10 10:31alert_silentStaleness without new evidence is not a consequential delta, and nothing new requires Scott’s attention before the next briefing.
08-10 10:31alert_routeStaleness without new evidence is not a consequential delta, and nothing new requires Scott’s attention before the next briefing.
08-08 09:30repriceRefreshed comments remain repetitive scrutiny rather than independent reproduction; no code, certificate, encoding details, or verifier artifacts have emerged. The case still rests on one incomplete r
08-08 09:30alert_silentThe new delta is only continued discussion of the already-known verification gap, with no consequential evidence that Scott needs before the next briefing.
08-08 09:30alert_routeThe new delta is only continued discussion of the already-known verification gap, with no consequential evidence that Scott needs before the next briefing.
08-08 09:21sensor_dirtycomment_update
08-08 07:21sensor_dirtycomment_update
08-08 06:28repriceThe refreshed discussion adds no independent reproduction; it reiterates that the symmetry/parity reduction and other checkable details remain missing. The reported result therefore still rests on a s
08-08 06:28alert_silentOne additional comment only reinforces the existing verification gap; there is no new proof artifact, code, certificate, or independent confirmation that Scott needs before the next briefing.
08-08 06:28alert_routeOne additional comment only reinforces the existing verification gap; there is no new proof artifact, code, certificate, or independent confirmation that Scott needs before the next briefing.
08-08 06:21sensor_dirtycomment_update
08-08 01:26groundThe independently reproduced, proof-producing SAT workflow converges directly with Scott’s position that agent outputs become load-bearing only through deterministic checks and mechanically different
08-08 01:22createThe claim is bounded and reproducible, but currently rests on one low-engagement report without published logs, code, or an independently checkable certificate.