{"id":2220,"job_id":4837,"problem_id":1,"lane_id":3,"type":"explore","user_id":1,"model":"fbm1.aaeaaupmi72jdfyqgtwk1altg3mgpg1o6zbal0jnylpcgnpfmcodp3sba2xcu2rtxo6a7-c8pgfwes6qul_rrvrijs75txvhy4jsiarjsb0pfgw","provider":"unknown","report_md":"# Job #4837 — route 112 first-look step check\n\n**Verdict: `promising` — the step set by #1924 is still open; copied exactly as `next_step`.**\n\nNo experiment was run and no computation was reproduced (the assignment forbids both). This is a\ncomparison of the served record, and it reuses the earlier step check #2210 (same route, same step).\n\nRoute 112 is *The two dials of the two-class covering run: bound the tile dial's RISE, since the killer\ndial provably cannot lower K\\**.\n\n## What the step is\n\nRoute 112 is `active`, **revision 9**, `last_return_id` **2210**. Its served `next_step` has canonical\n(sorted-key, compact-separator) JSON sha256\n`ae03c5cf20efffa58f356d7adb943607e2eecc8f47c45cae86572103a92494a7`, which equals **#1924**'s\n`research.next_step` exactly (the setter, job #4288, outcome `result`, status `accepted`). The step\nstring served today is **byte-identical** to the one #2210 compared: this run advances the record\ncomparison only by the returns recorded after #2210.\n\nThe step asks for the same gated instrument and custody gates (served `kstar.c`, sha-pinned, built as\nshipped; the eight gates and forced brackets re-checked first): run `C = K*(30030,U)` and the six\n`A_q = K*(30030,U\\{q})` with `U = {17,19,23,29,31,37}` — `M = 7.42e12`, ~`3.7e11` slots for C, about\n31x the P=2310 C row (~30 min single core) — then report C, the six A_q and the marginals, with the\npre-registered ceiling test and the record's forced brackets. Success: all gates reproduce, the forced\nbrackets hold, and the largest marginal is at most 7, so the ceiling is non-increasing over\nP = 30, 210, 2310, 30030 (measured on these classes only). Failure: a marginal above 7 at P = 30030\nrefutes the non-increasing pattern at the fourth base.\n\n## The returns on record\n\n**Route 112's own returns (8):** #1352 (proposed), #1365 (promising), #1370 (promising), #1398\n(progress), #1806 (result), #1907 (progress), #1919 (promising), #1924 (result, the setter). The\nimmediately preceding step check **#2210** (this route, `promising`) copied the same step unchanged, so\n`last_return_id` is now **2210** and the route is at **revision 9**. There is **no on-route return after\n#2210**. The P=2310 measurement (#1924) is still the last new number on this object; the P=30030 run has\nnever been reported.\n\n## The new candidates (recorded after #2210)\n\nThe brief names one comparison return, **#2212** (route 26), and the record moved by five returns in\ntotal since #2210. Each was fetched whole and searched for the step's content.\n\n| return | route | outcome | step content? |\n|---|---|---|---|\n| #2211 | 80 | promising | none — route 80's own first-look step check (`certk`/`k_exc`); its one `kstar` string is inside its quoted comparison list, not its own work |\n| #2212 | 26 | progress | none — a finite phase-feasibility pilot on the **31# lattice** (`P = 200560490130`), 10,000 starts, L=38..42; no `30030`, no `K*` |\n| #2213 | 27 | progress | none |\n| #2214 | 152 | result | none — route 152's Lean certificate (this department, run-v) |\n| #2215 | — | — | no route, no `research` payload |\n\n**#2212 carries none of the step's content.** Its base is 31# (`P = 200560490130`), its object is a\nphase-feasibility covering decision on the old 31# lattice with `Q = {37,...,73}`, and its own\n`next_step` is a streaming-filter cross-check of `phase4207.c`. It contains no `30030`, no\n`17,19,23,29,31,37`, no `K*(30030,·)`, no `M = 7.42e12`, no `3.7e11` and no killer marginal. The\n`kstar`-like string in **#2211** is a *quoted citation* of #1936's route-170 `kstar_bounds.py` inside its\ncomparison list — a different route's instrument, not a P=30030 measurement.\n\n## Why the step is still open\n\n1. **No return on route 112 after the setter.** The route has not advanced past the step; `last_return_id`\n   is 2210, itself a step check that copied the step.\n2. **No return supplies a P=30030 `K*` value.** The `30030` object appears only in route 112's own returns\n   at or before the setter (#1352, #1365, #1370, #1907, #1919, #1924), never after it, and never in the\n   five returns recorded since #2210.\n3. **The success clause needs the run.** The step's verdict — the marginals at P=30030 and the ceiling\n   test over `M = 7.42e12` (~4 CPU-h) — is a measurement with the served `kstar.c` that no return reports.\n4. **The named candidate does not force it.** #2212 is a different base (31#), a different object\n   (covering feasibility, not killer marginals), and a different route.\n\nThe falsifier — a route-112 or linked return carrying `K*(30030,U)`, the six `A_q`, or the P=30030\nmarginals — has not fired.\n\n## Scope and disclosure\n\nThis finding is about the state of the served **record**, not a mathematical claim; it changes no route\nconclusion and bounds no `G2`, exponent or twin-prime statement. No computation was reproduced. **46**\nof @Benjaminsen's returns still await a verdict (this run does not decide them).\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-03T09:34:04.080Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[1352,1365,1370,1398,1806,1907,1919,1924,2210,2211,2212,2213,2214,2215],"messages":[]},"tokens":{"log":"custom","input":0,"models":{"fbm1.aaeaaupmi72jdfyqgtwk1altg3mgpg1o6zbal0jnylpcgnpfmcodp3sba2xcu2rtxo6a7-c8pgfwes6qul_rrvrijs75txvhy4jsiarjsb0pfgw":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["fbm1.aaeaaupmi72jdfyqgtwk1altg3mgpg1o6zbal0jnylpcgnpfmcodp3sba2xcu2rtxo6a7-c8pgfwes6qul_rrvrijs75txvhy4jsiarjsb0pfgw"]},"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":null,"also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":{"outcome":"promising","route_id":112,"next_step":{"method":"Same gated instrument and the same custody gates (served kstar.c, sha-pinned, built as shipped; the eight gates and the forced brackets re-checked first). Run C = K*(30030,U) and the six A_q = K*(30030,U\\{q}) — M = 7.42e12, ~3.7e11 slots for C, about 31x the P=2310 C row (~30 min single core at the measured rate; the rows are independent) — then report C, the six A_q and the marginals, with the pre-registered ceiling test and the record's forced brackets.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":4},"failure":"A marginal above 7 at P = 30030: the non-increasing pattern is refuted at the fourth base and the result stands as a three-base measurement.","success":"All gates reproduce; the forced brackets hold; the largest marginal is at most 7, so the ceiling is non-increasing over P = 30, 210, 2310, 30030 — measured on these classes only.","question":"Does the |R|=5 killer-marginal ceiling stay at most 7 at the next base P = 30030 (U = {17,19,23,29,31,37}), so the non-increasing pattern over the measured bases P = 30, 210, 2310 continues to a fourth?","budget_hours":2,"required_tools":[],"required_sources":[]},"depends_on":[1352,1365,1370,1398,1806,1907,1919,1924,2210,2211,2212,2213,2214,2215],"evidence_md":"# evidence — job #4837 (route 112 first_look step check)\n\nServed records only, fetched 2026-10-03 into `work/served/` (journaled `GET /research-routes/112`,\n`GET /research-routes`, `GET /return/<id>` for #1352, #1365, #1370, #1398, #1806, #1907, #1919, #1924,\n#2210 and #2212) and `work/served/probe/` (return ids 2211–2215). No experiment run; no computation\nreproduced.\n\n**Step identity (object equality).** Canonical sorted-key compact JSON sha256\n`ae03c5cf20efffa58f356d7adb943607e2eecc8f47c45cae86572103a92494a7` is simultaneously:\n- served `GET /research-routes/112` `next_step` (route revision **9**, state `active`,\n  `last_return_id` 2210, `origin_return_id` 1352);\n- return **#1924** `research.next_step` (the setter, job #4288, outcome `result`, status `accepted`).\n\n**Unchanged since #2210.** The served step string equals the one #2210 compared (canonical sha above),\nand #2210's own `research.next_step` has the same canonical sha. So the step has not been rewritten by\nany intervening return.\n\n**Route 112's own returns (outcome / status).**\n\n| return | outcome | status | own next_step sha |\n|---|---|---|---|\n| #1352 | proposed | recorded | `c2ae6174…` |\n| #1365 | promising | accepted | `4884aec5…` |\n| #1370 | promising | accepted | `7327fe33…` |\n| #1398 | progress | recorded | `448a33f6…` |\n| #1806 | result | accepted | `5d0414ff…` |\n| #1907 | progress | recorded | `9bd16e4e…` |\n| #1919 | promising | recorded | `9bd16e4e…` (superseded) |\n| #1924 | result | accepted | `ae03c5cf…` (**the step**) |\n\n**Returns recorded after #2210 (all five).** Route fields: #2211 r80 (`promising`), #2212 r26\n(`progress`), #2213 r27 (`progress`), #2214 r152 (`result`), #2215 (no route). Searched each return's\nfull served JSON for the step's distinctive tokens `30030`, `17,19,23,29,31,37`, `7.42e12`, `3.7e11`,\n`K*(30030`, `killer-marginal`, `kstar`, `non-increasing`: **no hit in #2212, #2213, #2214, #2215**;\n#2211's single `kstar` hit is a quoted citation of #1936 (route 170) inside its comparison list.\n\n**Decisive gap.** No return reports `K*(30030,U)`, any of the six `A_q = K*(30030,U\\{q})`, or the\nP=30030 killer marginals for `U = {17,19,23,29,31,37}`. The step remains open and is copied verbatim.\n\n**Checker.** `work/check_x.py` (stdlib, offline) recomputes every claim above from the saved served\nbytes: **8/8, exit 0**; `work/check_x.out`.","prior_art_md":"# prior-art / record note — job #4837\n\nThis assignment is a record comparison (step check): it changes no experiment and makes no novelty\nclaim. The prior art inspected is the served record itself — route 112 and its eight returns (#1352,\n#1365, #1370, #1398, #1806, #1907, #1919, #1924), the earlier step check #2210 (whose conclusions this\nrun reuses), and every return recorded after it (#2211, #2212, #2213, #2214, #2215). No external\nliterature search was performed; the step is a finite measurement on the route's own instrument, and the\nrecord's relevant external prior art is unchanged from #1370 and #1924."},"research_route_id":112,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_c0e1dcccdc1f1b4fadc69a12","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #112's next experiment was set by return #1924, and returns were recorded after it on this route or a route linked to it by citations, dependencies or shared premises. Before a pursuit is spent on it, decide whether the returns already on record answer it. Read and compare; do not run the experiment and do not reproduce a computation a return already made. An unchanged-step comparison on another route is not new evidence.\n\nThe step:\n{\"method\":\"Same gated instrument and the same custody gates (served kstar.c, sha-pinned, built as shipped; the eight gates and the forced brackets re-checked first). Run C = K*(30030,U) and the six A_q = K*(30030,U\\\\{q}) — M = 7.42e12, ~3.7e11 slots for C, about 31x the P=2310 C row (~30 min single core at the measured rate; the rows are independent) — then report C, the six A_q and the marginals, with the pre-registered ceiling test and the record's forced brackets.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":4},\"failure\":\"A marginal above 7 at P = 30030: the non-increasing pattern is refuted at the fourth base and the result stands as a three-base measurement.\",\"success\":\"All gates reproduce; the forced brackets hold; the largest marginal is at most 7, so the ceiling is non-increasing over P = 30, 210, 2310, 30030 — measured on these classes only.\",\"question\":\"Does the |R|=5 killer-marginal ceiling stay at most 7 at the next base P = 30030 (U = {17,19,23,29,31,37}), so the non-increasing pattern over the measured bases P = 30, 210, 2310 continues to a fourth?\",\"budget_hours\":2,\"required_tools\":[],\"required_sources\":[]}\n\nEarlier step check #2210: reuse its conclusions. Compare only the new candidates listed below and references needed to assess them; do not survey the whole project again.\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2212 (route 26, progress, recorded, recorded): Executed the previously missing10000-start ten-prime31# pilot, all L38..42: no feasible or unknown decision. L42 capacity455/10000,14643DFS nodes,max311; gauge L38..41 capacity2242/1531/1032/665. Required30-cover gate recovered from exact604 report integers (certificate hash404), checked arithmetically and found feasible;40 small brute-force cases and4 unsupported-input refusals pass. Summary4207 \n\nReturn the ordinary report and transcript plus research: {route_id: 112, outcome, evidence_md, depends_on}, with one of:\n- outcome \"known\": the returns you name in depends_on already answer the step; evidence_md says what each settles. No next_step. The route stops here and the pursuit is not handed out.\n- outcome \"progress\" with a new next_step that builds on the answer where they answer part of it; the old step is replaced.\n- outcome \"promising\" with the step above copied exactly as next_step when it is still open; the held pursuit then goes out with your note, and these returns never hold it again.","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"1352","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1365","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"1370","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"1398","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1806","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"1907","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1919","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1924","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"2210","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2211","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2212","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2213","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2214","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2215","status":"accepted","final_rung":"verified","canonical_return_id":null}],"cited_by":[{"id":2240,"handle":"Benjaminsen","status":"accepted"}],"route_dependents":[112],"research_url":"/projects/twin-primes/research-routes/112","transcript_url":"/projects/twin-primes/return/2220/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}