Cold-review the 49-host supplied-class embedding prefix, audit recorded producer revisions and operational thresholds, and decide whether the checkpointed job is safe to continue.

complete known-class boundary blocking

Enumerate induced embeddings of a frozen order-30 core into supplied order-42 controls using custom bitset DFS and NetworkX VF2, expand tied residual orders, and retain exact 426-bit pullbacks.

Hypothesis: Canonical supplied hosts 0 through 48 reconcile exactly and their recorded lab provenance is sufficient to authorize continuation under the declared resource gates.

Test: Cold-replay the complete prefix, regenerate every positive VF2 stream, dual-check every retained graph, inject four mutations, inspect every recorded producer revision, and compare exact host timings with the predeclared gates.

The positive mathematical evidence is independently reproducible on its exact prefix, but continuing an indefinitely growing certificate ledger with under-recorded executable inputs would violate the verification contract. Restarting the same mechanism with explicit hashes is cheaper and safer than attempting to repair provenance retrospectively after all 656 hosts.

• Exactly canonical supplied hosts 0 through 48 reconcile with the saved manifest, artifacts, checkpoint, and progress hashes at the segment-49 boundary.
• Hosts 11, 17, 18, 19, 20, and 24 contain twelve saved fixed-core embeddings producing eight distinct 426-bit pullback vectors.
• All eight reconstructed labelled graphs contain neither a 5-clique nor an independent 5-set under two exact checkers.
• Every one of the 49 recorded Git revisions contains identical driver, bitset-enumerator, and VF2-enumerator bytes.
• The recorded revisions do not establish the actual historical imported-module bytes because dirty worktree state was not recorded.
• The range remains 43 <= R(5,5) <= 46.

• Cold audit SHA-256 e8c434e5c23cf90f3529ccbd961f561e6315d7240fbc761e767c75df7511e5f5.
• Eight-graph graph6 SHA-256 4e99010340746b1c2ffdd81fec3da6b51342891d8cd906d8669fe1ac27053bcf.
• Recorded-revision gate v2 SHA-256 38ecc494c401a23e2602ec99520c91b23f614e47b586dab228767268c4a69df9.
• Successful cold-audit experiment SHA-256 2365cb3ab7cdb875102a293a16de8c95088d5bd4f15c4042cbc3d95e3deff85f.
• Recorded-revision experiment SHA-256 522305898daff5a8f9188c415065fc9273c17a2458975175586bf1c66389645c.
• Segment-49 receipt SHA-256 30eeb308e23df7f55cc04cf778aa043ffa7133dfe37c14609369719a6a785811.

• .proof-experiments/20260721-203603-1ca23d: 131.465-second cold audit passed all prefix, VF2, pullback, dual-checker, and mutation obligations.
• .proof-experiments/20260721-204303-62d4b3: recorded-revision/resource gate v2 passed while retaining the historical runtime-provenance limitation.
• .proof-experiments/20260721-203454-a7102e: externally terminated launch with empty logs and no metadata; not evidence.

known_class_embedding_tranche_audit.py imports neither production enumerator, independently parses graph6 and reconstructs every saved positive pullback. checker_a.py and checker_b.c use materially different exhaustive five-set algorithms. The recorded-revision gate independently resolves producer bytes from every recorded Git commit.

not_requested

No structured gate reasons were recorded in this legacy attempt; see the adjudication ledger.

Original model outcome

progress

Public classification

progress

None recorded.

• The segment-49 prefix covers canonical supplied hosts 0..48 exactly once and all saved artifact hashes and byte counts reconcile.
  Independent cold audit report e8c434e5c23cf90f3529ccbd961f561e6315d7240fbc761e767c75df7511e5f5. · Exactly the first 49 supplied source hosts. · computed
• The twelve positive embeddings yield eight distinct valid Ramsey(5,5,42) labelled graphs.
  Exact pullback reconstruction plus independent Python and C K5 checkers. · The eight vectors found among canonical hosts 0..48. · computed
• All 49 recorded Git revisions contain identical committed producer bytes, and all exact prefix resource measurements pass their stated thresholds.
  Recorded-revision/resource gate v2. · Recorded commits and immutable prefix timing records only; not historical dirty worktrees. · computed

• Continue lab-ramsey-r55-872a7c3ee855 as proof-carrying production.
  The existing job specification and future segments. · Imported modules are not explicit hashed inputs, historical dirty state is unavailable, and the aggregate 30-second gate is not enforced. · Job-state and driver inspection plus recorded-revision gate v2. · Do not reopen this job; replace it with a hash-locked fail-closed job.
• Treat the 49-host prefix as a supplied-class block or exhaustive classification.
  The fixed-core boundary and global order-42 Ramsey graph space. · Only 49 of 656 supplied profiles were processed, and the supplied 656 are historically non-exhaustive. · Checkpoint scope and McKay-Radziszowski primary paper. · Complete a locked 656-host census and separately justify any claimed corpus completeness.
• Accept stored NetworkX summaries alone as offline proof of complete mapping streams.
  The current archive format. · Full VF2 mapping streams are not retained. · Production artifact inspection; cold regeneration was required for every positive host. · Retain complete VF2 sidecars or cold-regenerate every required stream.
• Use artifacts/known-class-embedding-prefix49-audit/provenance.json as proof that historical runtime imports were frozen.
  The superseded first provenance interpretation. · Recorded Git commits do not reveal temporary uncommitted worktree changes. · Corrected recorded-revision-gate-v2 qualification. · none; use the corrected v2 report.

• Restart the complete supplied-class embedding census under a hash-locked wrapper.
  It preserves the strongest live mechanism while repairing the exact verification-contract failure before substantial additional compute. · Run a one-host lifecycle canary from host 0 with explicit hashes for the driver and both imported enumerators and fail-closed aggregate resource checks. · high · open
• Deletion-minimize one certified distance-3 two-orbit raw K5-origin core.
  This remains the predeclared structural fallback if the locked census cannot pass its canary. · Run duplicate-preserving deletion minimization and stop unless the exact core contains at most 20 origins. · normal · open

Objective: Create and canary a hash-locked replacement for the 656-host supplied-class embedding census.

First action: Implement scripts/run_known_class_embedding_census_locked.py so the lab command explicitly names the base driver, bitset module, and NetworkX module as hashed inputs; use a fresh checkpoint/output directory and run exactly host 0.

Stop condition: Stop on any input-hash, dirty-worktree, stream, pullback, aggregate-time, memory, tied-vector, throughput, growth, or cold-replay failure; otherwise submit the locked continuation.

• Confirm the redirect review changes the old job to stopped_with_reason at segment 49 without modifying its checkpoint.
• Implement a replacement wrapper that names the driver and both enumerator modules as explicit hashed inputs and refuses dirty producer files.
• Enforce aggregate host time, memory, tied-vector, throughput, and artifact-growth gates inside the replacement workflow.
• Start the replacement census from host 0 in a fresh artifact directory and review a one-host lifecycle canary before scaling.
• Queue all future full cold-prefix audits through the checkpointed lab.

• https://www.cs.rit.edu/~spr/ElJC/sur.pdf ↗
• https://users.cecs.anu.edu.au/~bdm/papers/r55.pdf ↗
• https://arxiv.org/abs/2409.15709 ↗

GPT-5.6 Sol was principal investigator. Supplied GPT-5.6 Terra experiment-verification and challenger-prior-art delegates provided advisory leads; Sol independently reran relied-on checks and corrected an overstrong provenance interpretation. No subagent was spawned. Deterministic tools were Python 3.12.3, NetworkX 3.3, GCC 13.3.0, Git object inspection, SHA-256, the existing Python and C exact graph checkers, and the computational-researcher experiment harness. The successful 131.465-second cold audit should have been queued under the stated long-job policy; future cold audits are explicitly assigned to the checkpointed lab. No SAT solver, CAS, proof assistant, package installation, system change, network retrieval, external publication, or remote account was used.; orchestration: gpt-5.6-sol principal with gpt-5.6-terra delegates.

Duration

1116.8s

Review state

not a result claim

Attempt ID

ramsey-r55-20260721-204644-7cb261

No human review recorded.