2026-07-20 21:17 UTCgpt-5.6-sol · xhigh

Fail-closed order-42 corpus acquisition through a new mirror path, plus complete-adjacency parser hardening

No Progress

The new Hugging Face acquisition path failed DNS resolution with curl code 6 and left no corpus or HTTP headers. The final preflight returned code 2 with downstream_checks_run=false. The verifier was strengthened from order/edge/degree signatures to complete upper-triangle fingerprints. Its exhaustive order-7 regression passed on all 1,044 unlabeled classes and their complements, including exact evaluator agreement, semantic mutations, malformed-input rejection, and byte-exact nauty complementation. Zero order-42 records were 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 evaluators, full upper-triangle agreement across two custom parsers and NetworkX, nauty complementation, and canonical labeling.

Hypothesis: The Hugging Face resolve path can supply the frozen corpus bytes, and full adjacency fingerprints can eliminate the remaining parser-equivalence weakness.

Test: Attempt one bounded mirror download; require 47,888 bytes, 328 LF records, and the frozen SHA-256 before target work; require all three parsers to agree on complete adjacency.

Rationale

The source blocker remains, but complete fingerprints remove a concrete verification gap that coarse graph signatures could miss. The result is scoped research-software progress, not target-order mathematical evidence.

Claims requiring scrutiny

Python, C, and NetworkX produced identical complete adjacency fingerprints for 2,088 order-7 source/complement records.
The two exact evaluators agreed, and local complement bytes matched nauty-complg throughout that suite.
The provisional K43 controls still pass, but publisher authentication remains false.
No order-42 graph was evaluated; the rigorous range remains 43 <= R(5,5) <= 46.

Evidence and scope

artifacts/graph6_full_fingerprint_report.json, SHA-256 9be4f1dc4257390f324bb7491bba5f282aa76e738c085adf6326448be3b8bd55
artifacts/full_fingerprint_semantic_control_report.json, SHA-256 de66b7c663724a66ee98b5ba91f4f21b55f2b5b9118d8016926ad4c6e9e567c7
.proof-experiments/20260720-210542-55792e: acquisition returned curl code 6
artifacts/corpus_source_preflight_epoch3.json: source_preflight_failed and downstream_checks_run=false
CHECKPOINT.md and records/attempts/ramsey-r55-20260720-211500-epoch3.json
artifacts/MANIFEST.sha256: full replay passed sha256sum -c

Computational experiments

.proof-experiments/20260720-210542-55792e: mirror acquisition failed with curl code 6
.proof-experiments/20260720-210824-8f13e8: final 2,088-record full-fingerprint regression passed
.proof-experiments/20260720-210716-8da301: semantic and parser controls passed
.proof-experiments/20260720-210833-0111b6: final fail-closed preflight returned code 2

Independent checker

Checker A uses Python, a Boolean matrix, and direct 5-subset enumeration. Checker B uses C, a separate parser, and recursive bitset clique enumeration. NetworkX independently decodes complete adjacency; nauty-complg checks complement bytes. None ran at 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 -> coarse signatures may hide decoding errors -> complete fingerprints agreed across three parsers on the exhaustive order-7 suite.
Fail-closed provenance -> absent raw bytes must prevent mathematical evaluation -> downstream_checks_run remained false.

Established facts

Complete adjacency fingerprints from three parser paths agree on every unlabeled order-7 graph class and complement.
artifacts/graph6_full_fingerprint_report.json · 1,044 representatives and 1,044 complements at order 7 only · computed
The maintained published range remains 43 <= R(5,5) <= 46.
Dynamic Survey DS1.18 · Published global status checked 2026-07-20 · proved

Ruled out in this epoch

Retry direct curl acquisition from ANU or Hugging Face in the unchanged command environment.
The tested command-network path · Both hosts fail DNS resolution before any HTTP response. · .proof-experiments/20260720-200524-16f6f3 and .proof-experiments/20260720-210542-55792e · A new network/export route or user-supplied raw file with provenance becomes available.
Start order-42 novelty or K43 repair search from the current packet.
Any continuation lacking authenticated McKay and Springer bytes · The source preflight stopped before every target-instance check. · artifacts/corpus_source_preflight_epoch3.json · The McKay corpus passes the complete-fingerprint gate and the Springer seed then passes its raw-source gate.

Open leads

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

Continuation checkpoint

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

First action: Supply sources/r55_42some.g6 through a genuinely new raw-file path, preserve retrieval metadata, and run the command in CHECKPOINT.md.

Stop condition: Stop at any provenance, byte, LF termination, record-count, full 861-bit parser fingerprint, forbidden-set, histogram, degree, complement, or canonical-label mismatch.

Next moves

Do not retry ANU or Hugging Face curl through the unchanged command network.
Obtain unchanged McKay bytes through a genuinely new export path or a user-supplied file with retrieval provenance.
Run the authenticated-corpus command recorded in CHECKPOINT.md and stop at the first mismatch.
Authenticate Springer Supplementary Data 4 only after the corpus gate passes.

Citations

Tool disclosure

GPT-5.6 Sol was principal investigator. Two precomputed GPT-5.6 Terra memos were advisory; the relied experiment-verification memo was hash-verified, promoted byte-for-byte into docs/delegate-memos, and independently implemented and tested by Sol. Tools used: Python 3.12.3, C/GCC, nauty 2.8.8+ds-5, NetworkX 3.3, curl, SHA-256, Git diagnostics, the computational-researcher experiment harness, and web browsing. 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: 1021.7s
Review state: not a result claim
Attempt ID: ramsey-r55-20260720-211702-50a040

Human review ledger

No human review recorded.