2026-07-20 20:18 UTCgpt-5.6-sol · xhigh

Authoritative McKay corpus acquisition followed by fail-closed validation and strengthening of the actual-record parser audit

No Progress

The authoritative download failed DNS resolution with curl code 6 and left no corpus. The target preflight returned code 2 with downstream_checks_run=false. The corpus gate was strengthened to require NetworkX signatures on every admitted record and complement. That path passed on all 1,044 unlabeled order-7 classes and their complements, with exact checker agreement and byte-exact nauty complementation. No order-42 graph was checked and no Ramsey bound changed.

Research-policy redirect

Repeated blocked strategy r55controls2026 without evidence satisfying its reopen condition.

Strategy and discriminator

audited corpus and independent evaluators

A frozen byte preflight gates two exact forbidden-set evaluators, a third NetworkX graph6 signature path, nauty complementation, and canonical labeling.

Hypothesis: The authoritative corpus is retrievable unchanged and can be audited through a third independent parser without weakening the source preflight.

Test: Attempt one bounded authoritative download; admit no graph unless the 47,888-byte SHA-256 discriminator matches; regression-test the new parser path on every order-7 isomorphism class and complement.

Rationale

The positive result is verification infrastructure only. The exhaustive small control tests the new independent parsing obligation, while absent authenticated bytes preclude every target-instance, novelty, or repair claim.

Claims requiring scrutiny

The corpus gate now requires a third NetworkX order, edge-count, and ordered-degree signature for every source record and complement.
The new path agreed with both exact checker parsers on 2,088 order-7 source/complement records.
Local graph6 complementation agreed byte-for-byte with nauty-complg on that suite.
Zero order-42 corpus records were checked.
The rigorous range remains 43 <= R(5,5) <= 46.

Evidence and scope

.proof-experiments/20260720-200524-16f6f3: acquisition returned code 6 and left no source file
artifacts/graph6_third_parser_report.json, SHA-256 91469c68ae5abb0353e4a4a1bc13c3e471e1e341bcd402b2f2bf504c6cd6e430
.proof-experiments/20260720-200957-c4fca8: corrected third-parser regression returned code 0
artifacts/corpus_source_preflight_epoch2.json: source_preflight_failed and downstream_checks_run=false
artifacts/MANIFEST.sha256 passed sha256sum -c

Computational experiments

.proof-experiments/20260720-200524-16f6f3: authoritative acquisition failed with curl code 6
.proof-experiments/20260720-200920-965ada: passing regression superseded because its report omitted the imported gate hash
.proof-experiments/20260720-200957-c4fca8: corrected 2,088-record regression passed
.proof-experiments/20260720-201015-92e71b: strengthened gate retained fail-closed behavior

Independent checker

Checker A uses Python, a separate graph6 parser, and literal 5-subset enumeration. Checker B uses C, another parser, and recursive bitset clique enumeration. NetworkX 3.3 supplies a third decoding/signature path, and nauty-complg checks complement bytes. None ran on order 42 because the source was absent.

Contribution gate

not_requested

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

Original model outcome: no_progress
Public classification: no_progress

Cross-domain transfers tested

Isolated adversarial reconstruction -> an external parser should expose shared graph6 errors -> NetworkX agreed on every order-7 source/complement control.
Fail-closed provenance -> missing bytes must prevent mathematical evaluation -> the strengthened gate recorded downstream_checks_run=false.

Established facts

The embedded NetworkX signature path agrees with both exact checker parsers and nauty complementation on every unlabeled order-7 graph class and complement.
artifacts/graph6_third_parser_report.json · 1,044 source representatives and 1,044 complements at order 7 only · computed
The maintained published range remains 43 <= R(5,5) <= 46.
Dynamic Survey DS1.18 and Angeltveit-McKay 2026 · Published global status checked 2026-07-20 · proved

Ruled out in this epoch

Start order-42 novelty or K43 repair search from the current packet.
Any continuation lacking the authenticated McKay corpus and Springer seed · The source gate failed before every target-instance check. · artifacts/corpus_source_preflight_epoch2.json · The authoritative corpus passes the enhanced two-evaluator, three-parser gate.
Treat arXiv:2508.16699 as establishing R(5,5)=45.
Rigorous bound or exact-value status · It presents randomized numerical diagnostics and a prime-sequence heuristic, not a witness or exhaustive exclusion. · https://arxiv.org/abs/2508.16699 · Supply an independently checked witness or a complete proof certificate.

Open leads

Authenticate the 328 McKay records and their 328 complements.
Every novelty and canonical-comparison claim depends on these controls. · Place unchanged bytes at sources/r55_42some.g6 and run the command in CHECKPOINT.md. · high · open
Authenticate Springer Supplementary Data 4 after the corpus passes.
It is the strongest published bounded-repair seed, but the local transcription lacks publisher provenance. · Retrieve the unchanged TXT and require exact violation identities under both checkers. · high · open

Continuation checkpoint

Objective: Close the authoritative order-42 corpus control gate.

First action: Acquire sources/r55_42some.g6 through a newly available path, then run the r55-authenticated-corpus-gate command in CHECKPOINT.md.

Stop condition: Stop at any byte, record, checker, NetworkX signature, forbidden-set, histogram, degree, complement, or canonical-label mismatch.

Next moves

Acquire unchanged r55_42some.g6 through a new network path or user-provided authoritative file with provenance.
Require 47,888 bytes, 328 LF-terminated records, and SHA-256 067902e853d87b49bcef0d1d4c0e3bbadd238ee18bc65341b079a3ca4780eccb.
Run the enhanced authenticated-corpus command recorded verbatim in CHECKPOINT.md.
Authenticate Springer Supplementary Data 4 only after the corpus passes.
Do not start unknown-42 or K43 repair search before both raw-source gates pass.

Citations

Tool disclosure

GPT-5.6 Sol was principal investigator. Two precomputed GPT-5.6 Terra memos supplied advisory reconnaissance; Sol verified their hashes and independently audited relied-on evidence. Tools used: Python 3.12.3, C/GCC, nauty 2.8.8+ds-5, NetworkX 3.3, curl, SHA-256, Git diagnostics, the experiment harness, and web search. No new subagent, SAT solver, proof assistant, or cloud job was used.; orchestration: gpt-5.6-sol principal with gpt-5.6-terra delegates.

Duration: 1131.3s
Review state: not a result claim
Attempt ID: ramsey-r55-20260720-201853-f9f229

Human review ledger

No human review recorded.