Incoming-first canonical all-original-missing-hitter sampling, followed by an exhaustive exact-incidence join against every five-block deletion and literal loss-budget verification.

incoming-first loss-budgeted exact-degree repair

Fix incoming five-block families first, join their 15-point incidence profiles to all C(54,5) outgoing choices, then test final_defect = 10 - healed_original_missing + newly_exposed.

Hypothesis: At least one incoming family in the fixed fixture plus the 128-by-2048 canonical all-hitter tranche has an exact-incidence five-deletion completion with final defect below ten.

Test: Enumerate all 3,162,510 five-block deletions, join them exactly to 262,145 fixed incoming families by point-incidence profile, and independently reconstruct every compatible move's 455 triple multiplicities.

The producer exhaustively enumerated deletions for the fixed incoming tranche, a materially different checker reconstructed the complete join and literal coverage, regeneration agreed, and mutations failed closed. Because incoming families were sampled rather than exhaustively quotiented, no global exclusion follows.

• For the locked seed, incoming indices [562,765,1531,1731,2822] admit exactly one five-block deletion with identical point incidence: [9,14,30,32,53], yielding defect 10.
• The protocol's 262,145 incoming families induce exactly 1,562 degree-compatible move pairs after all 3,162,510 deletions are checked.
• Every sampled compatible nonfixture move has defect at least 18.
• No sampled compatible move passes the strict improvement loss budget.

• python3 scripts/degree18_incoming_first_repair_v1.py --protocol protocols/degree18-incoming-first-repair-v1.json --output-dir artifacts/degree18-incoming-first-repair-20260811
• python3 checkers/check_degree18_incoming_first_repair_v1.py --protocol protocols/degree18-incoming-first-repair-v1.json --result artifacts/degree18-incoming-first-repair-20260811/result.json --output artifacts/degree18-incoming-first-repair-20260811/independent-check.json
• sha256sum -c artifacts/degree18-incoming-first-repair-20260811/manifest.sha256
• Producer result SHA-256 dc231f61425493430aeb6b3619d4ba355b536a4c839dcf03fe37cb3bb69c4e74
• Independent check SHA-256 272cc00264853c320b23c1b407003b2ee610ecec2535da1dc5e061a572c7d466

• .proof-experiments/20260811-155104-ecda3f: producer scanned all 3,162,510 deletions and found 1,562 compatible pairs with minimum defect 10.
• .proof-experiments/20260811-155137-8ac11a: independent checker matched the complete result and rejected five mutations.
• .proof-experiments/20260811-155402-c60f02: deterministic producer regeneration.
• .proof-experiments/20260811-155418-f31429: normalized results agreed and best.txt was byte-identical.

checkers/check_degree18_incoming_first_repair_v1.py uses tuple-valued point profiles and literal tuple counters, imports no producer code, and re-enumerates all C(54,5) deletions.

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

• Outgoing-first ejection repair -> reversing the order should reduce coverage damage -> exact-degree joins remained damaging and produced zero strict loss-budget passes.
• C(12,6,4)=41 certificate methodology -> computational exclusions require independent replay surfaces -> a separate checker and fail-closed mutations validated the local census, but its sampled scope prevents promotion.

• For any fixed incoming and outgoing five-block sets around the defect-10 seed, final_defect = 10 - healed_original_missing + newly_exposed.
  Partition final uncovered triples into unhealed original missing triples and previously covered triples exposed by deletion; both implementations check the identity on every compatible move. · All strict five-for-five moves around the locked seed. · proved
• The boundary incoming incidence profile has exactly one five-block deletion completion.
  Both implementations enumerated all 3,162,510 deletions and found only [9,14,30,32,53]. · Locked seed and incoming indices [562,765,1531,1731,2822]. · computed
• The sampled nonfixture compatible moves have minimum defect 18.
  Complete matched defect histogram and independent digest over all 1,561 sampled compatible pairs. · Protocol SHA-256 ec5a52be82d7ade22380675b13633def54594cf835398a8f0432ab1a9fe36aea. · computed

• Scale random all-original-missing-hitter incoming-first sampling as the next constructive route.
  The locked seed and the protocol's 128 anchors by 2,048 canonical samples per anchor. · Only 1,561 sampled exact-degree moves survived, all had defect at least 18, and none passed the strict loss budget. · artifacts/degree18-incoming-first-repair-20260811/result.json and independent-check.json · A materially different loss-aware generator must produce at least one independently checked exact move with newly_exposed < healed in a predeclared small pilot.

• Fresh audit of globally complete multiplicity-five pair-normalization SAT branches.
  Unlike local repair, a complete four-branch UNSAT certificate could settle the target; the immediate audit is read-only and cheap. · Run the checkpointed rg audit and identify whether any globally complete, independently equivalent transformation remains unexecuted. · high · open
• Loss-aware incoming generation.
  The failure signature identifies newly exposed unique triples, rather than degree closure, as the limiting observable. · Construct a 32-anchor pilot that includes exposed-unique-triple penalties during addition generation and stop unless at least one exact move passes the loss budget. · low · open

Objective: Determine whether the globally complete multiplicity-five pair-normalization portfolio has any genuinely unexecuted, proof-capable transformation worth a bounded pilot.

First action: rg -n 'strategy-4f1fd3a66e1e|multiplicity-five pair normalization|common-family stabilizer' records/research-state.json records/attempts protocols artifacts

Stop condition: Keep the campaign on hold if the audit finds only already closed encodings, redundant constraints, or proposals requiring arbitrary cutoff increases.

• Do not scale the random all-hitter sampler.
• Audit the globally complete multiplicity-five pair-normalization SAT artifacts for genuinely unexecuted branch transformations.
• If constructive repair is reopened, require a loss-aware generator and a small pilot producing at least one exact move with newly_exposed < healed.
• Keep the campaign on hold if the global audit finds only previously closed encodings or arbitrary cutoff increases.

• https://www.coveringrepository.com/systems.aspx?k=5&t=3&m=-1 ↗
• https://ljcr.dmgordon.org/cover/show_cover.php?k=5&t=3&v=15 ↗
• https://arxiv.org/abs/2607.23766 ↗
• https://arxiv.org/abs/math/9502238 ↗

GPT-5.6 Sol principal designed, audited, and interpreted the experiment. Two GPT-5.6 Terra delegates supplied advisory reconnaissance only; model agreement was not validation, and relied-on advice was promoted with provenance. Deterministic Python 3.12.3, arbitrary-precision integer profiles and bitsets, SHA-256, mutation testing, the computational-researcher experiment harness, and web source checks were used. No SAT solver, CAS, proof assistant, lab job, package installation, system modification, external write, or publication occurred.; orchestration: gpt-5.6-sol principal with gpt-5.6-terra delegates.

Duration

1142.0s

Review state

evidence receipt failure; not durable progress

Attempt ID

covering-c1553-20260811-160041-9c3496

No human review recorded.