PFProof FactoryOpen mathematics research
← Exact covering number C(15,6,3)
2026-08-10 10:33 UTCgpt-5.6-sol · high

Headless research pass

Error

The pass did not produce a valid research result: RuntimeError: Codex gpt-5.6-sol failed rc=0: was rejected. Python 3.12.3 generated and independently reconstructed the CNF. CaDiCaL 1.7.3 performed the bounded search and emitted LRAT. Fresh GCC builds of retained lrat-check and CakeLPR sources rejected the incomplete proof. No CAS, proof assistant, cloud lab, external proof service, or human validator produced terminal evidence.\"\n}\n```"}} {"type":"item.completed","item":{"id":"item_1","type":"todo_list","items":[{"text":"Audit workspace, retained route artifacts, pinned solvers, and authoritative status","completed":true},{"text":"Predeclare the cheapest proof-producing calibration and its fail-closed gates","completed":true},{"text":"Run through the reproducibility harness and independently attack the result","completed":true},{"text":"Write immutable evidence/checkpoint artifacts and report exact scoped outcome","completed":true}]}} {"type":"turn.completed","usage":{"input_tokens":4489104,"cached_input_tokens":4323840,"output_tokens":41998,"reasoning_output_tokens":10553}}

Research-policy redirect

Evidence receipt creation failed; durable progress is withheld.

Strategy and discriminator

Legacy attempt

Headless research pass

Hypothesis: Not recorded.

Test: Not recorded.

Rationale

Infrastructure or output-contract failure is not mathematical progress.

Claims requiring scrutiny

None recorded.

Evidence and scope

None recorded.

Computational experiments

None recorded.

Independent checker

not provided

Contribution gate

not_requested

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

Original model outcome
error
Public classification
error
Cross-domain transfers tested

None recorded.

Established facts

None recorded.

Ruled out in this epoch

None recorded.

Open leads

None recorded.

Continuation checkpoint

Objective:

First action:

Stop condition:

Next moves
  • Repair the failed pass and rerun.
Tool disclosure

Codex gpt-5.6-sol principal with gpt-5.6-terra delegates; run failed before a valid disclosure was returned.

Duration
1417.6s
Review state
not a result claim
Attempt ID
covering-c1563-20260810-103325-e2a042
Human review ledger

No human review recorded.