{"id":999,"job_id":1881,"problem_id":1,"lane_id":3,"type":"explore","user_id":42,"model":"deepseek-v4-pro","provider":"deepseek","report_md":"# Route 33 rescue: the #652 rejection is not an obstruction; the ladder's convention audit is complete and correct at levels 17–23\n\nCaveat and open gap first: this is a confirmation of already-published work, not a new claim. The convention audit route 33 proposes was already executed (#644, #645) and its premise reassessed (#658). This return adds the one measurement #658 left open — the literal definitional scan at levels 17/19/23 across the whole prime range — and finds no new discrepancy.\n\n## 1. The obstruction (#652 rejected) is not a real blocker\n\nRoute 33 is blocked on its origin return #652 being rejected. That rejection does not obstruct the route's deliverable.\n\n- #652's falsifiable claim — Inference 1, that the 9-cell defect must live in the folded/blocked path because the cyclic closure agreed with the bank over 126 cells — was refuted by #658 (accepted, verified) for a concrete reason: #652 swept φ(x#) (one-class kill, 8/48/480 slots) where the maximum run is attained strictly inside the period, so the closure cannot change it. \"differing_cells = []\" was a property of the object, not evidence about the bank.\n- The route's actual deliverable — the convention audit and its 9-cell residual list — is carried by #644 (accepted, verified) and #645 (accepted, measured), both independent of #652.\n\n## 2. New measurement: literal scan at levels 17/19/23 (114 cells)\n\nThe remaining gap #658 named (literal-scan coverage at levels 17–23 across the whole prime range, budget-bound) is closed here. A C program materialises the tiles T_17 (22275 slots), T_19 (378675), T_23 (7952175) by the two-class twin kill (r and r+2 coprime to x#) and computes L(T_x,p) for every prime p ≤ 199 with x < p, under both the true continuation (successor of the last slot has residue (r_0 + x#) mod p) and the naive residue-cyclic closure.\n\nResult (measured; range levels 17/19/23, p ≤ 199, 114 cells): all 114 cells reproduce return #161's accepted ladder —\n\n- T_17 reads 1 from p = 59; T_19 from p = 71; T_23 from p = 107, with the dip to 1 at p = 71, 73 and return to 2 at 79..103;\n- diagonal L(T_17,19) = 2, L(T_19,23) = 3, L(T_23,29) = 2.\n\nThe naive closure differs at exactly two cells in this range — T_19/199 and T_23/173 (naive = 2 where true = 1) — matching #645's 9-cell residual list at levels 19/23. No new discrepancy.\n\n## 3. Verdict\n\nThe convention-audit contribution is fully covered (#644, #645, #658, plus this scan); the ladder is correct at all levels-17/19/23 cells under the true continuation; the residual list is unchanged. No distinct next experiment is warranted.\n","patch":null,"cpu_hours":0.07,"hashes":{"literal_scan_l1723.out":"b3585b4e7784662f72471290967ef51fa281d3866257eac65af65f6e335f0949"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-09-18T13:04:27.723Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[161,644,645,658],"messages":[]},"tokens":{"log":"custom","input":29664,"models":{"deepseek-v4-pro":84790},"output":84790,"source":"custom-jsonl","entries":38,"cache_read":4854528,"cache_write":0,"observed_models":["deepseek-v4-pro"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"low","also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-09-18T13:07:30.388Z","file_notes":null,"research":{"outcome":"known","route_id":33,"depends_on":[161,644,645,658],"evidence_md":"The #652 rejection is not an obstruction. #652's Inference 1 was refuted by #658 (wrong object: phi(x#) one-class kill 8/48/480 vs the tile's 3/15/135, so the max run is attained inside the period and the closure cannot change it). The route's deliverable (convention audit + 9-cell residual list) is carried by #644 and #645, independent of #652. This run closed the remaining gap #658 named: a literal definitional scan (materialised integers, no residue word, no closure convention) at levels 17/19/23 across the whole prime range p <= 199 (114 cells), run in C (~4 min). All 114 cells reproduce #161's accepted ladder (T17 reads 1 from p=59; T19 from 71; T23 from 107 with the 71/73 dip and 79..103 = 2; diagonal L(T_17,19)=2, L(T_19,23)=3, L(T_23,29)=2). The naive closure differs at exactly 2 cells in this range — T_19/199 and T_23/173 (naive=2 vs true=1) — matching #645's residual list at levels 19/23. No new discrepancy; the ladder is correct at levels 17-23 under the true continuation.","prior_art_md":"2026-09-18, reusing the route's recorded prior art: the closure convention is a project-local artefact, not a literature object, and the 'verify by changing the representation' method is standard software verification (metamorphic testing / the oracle problem — Segura et al., ACM CSUR 2018; Chen et al., JIISIC 2004), already located by #652/#658. No new external source bears on the closure convention itself. The changed ingredient is the one remaining gap — literal-scan coverage at levels 17-23 — which is now closed (114 cells). Cited prior work (#644, #645, #658) already covers the proposed contribution; this run confirms it and adds nothing new."},"research_route_id":33,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_23424801c73890cd6fd3264c","run_id":"run_38dcd8598b5c35e1e36c5351","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"victor-geere","job_brief":"Inspect the decisive obstruction with a fresh perspective. Distinguish an unresolved task, failed attempt, refuted statement and scoped obstruction. Seek a repair, weaker requirement, new ingredient or alternate method. Preserve valid counterexamples and their exact scope. A successful rescue needs a distinct next experiment and evidence that the alternative avoids the obstruction. Reuse the prior search and search online for the changed ingredient, including failures in the source field. Do not rerun published computations here. Your findings start a new investment basis; explicitly list any earlier return still required in depends_on.\n\nRead GET <project base>/research-routes/33 and return #658. Return the ordinary report and transcript plus research: {route_id: 33, outcome: \"promising|progress|blocked|inconclusive|known|result\", evidence_md: \"what the evidence changes, <=4000 chars\", prior_art_md: \"updated online search record, sources and exact remaining gap, <=4000\", next_step: {question, method, success, failure, budget_hours} <only for continued pursuit>, obstacle: {kind, statement, assumptions, evidence, revisit_when} <for blocked/inconclusive>, depends_on: [<return ids actually required>]}. A result with a distinct next_step requests review and continues pursuit concurrently; omit next_step when no further experiment is warranted. Use known with prior_art_md and no next_step or obstacle when cited prior work already covers the proposed contribution; it stops automatic investigation without requesting review. The evidence grade is separate. Do not close a broad route because one proof attempt failed.","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"161","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"644","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"645","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"658","status":"accepted","final_rung":"verified","canonical_return_id":null}],"research_url":"/projects/twin-primes/research-routes/33","transcript_url":"/projects/twin-primes/return/999/transcript","files":[{"sha256":"b900876c89dc8dcae5eb62f6af925fa854bd79aa27814702ba4b33c289228cee","name":"literal_scan_l1723.c","bytes":4263},{"sha256":"b3585b4e7784662f72471290967ef51fa281d3866257eac65af65f6e335f0949","name":"literal_scan_l1723.out","bytes":1203}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}