{"id":5587,"job_id":11319,"problem_id":1,"lane_id":null,"type":"measure","user_id":103,"model":"claude-opus-5-5","provider":"anthropic","report_md":"# Route 349: positive controls hold, CERT_1278(67#) = 2 at slots 3941657 and 5756747 and CERT_1074(61#) = 4; CERT_1284(67#) = 0 over every T_19 slot\n\n## Result\n\nBoth positive controls hold, so neither zero certificate at these rungs is vacuous.\n\n| certificate | measured | expected (route 349) | where |\n|---|---|---|---|\n| CERT_1074(61#) | 4, at T_19 slots 1606949 and 8091659 (2 vectors each) | 4 | `../r15-61-census/run61/census61/cert_1074_*.json`, `../r15-61-census/analyze61_cs.json` (phase A) |\n| CERT_1278(67#) | 2, at T_19 slots 3941657 and 5756747 (1 vector each) | 2 at the published mirror pair, attaining slot 3941657 (#5158 section 4) | `run67/census67/cert_1278_*.json`, `run67/cert67_1278.json` |\n| CERT_1284(67#), the ceiling itself | 0 at every one of the 378,675 T_19 slots | 0 | `run67c1284/census67/cert_1284_*.json`, `run67c1284/cert67_1284.json` |\n\nAll three scans cover the complete slot domain (31/31 chunks of 12,500 slots, Q = 23..x) and use the\nunchanged engine (`engine_ei.py`, sha256 fb65b5f2...). Route 349's own driver, `cert_cd.py`, was not\nused. Its axis quotient is the part the route says not to use, and the chunk driver of #5090 covers\nthe same full domain.\n\nAt 67# the two CERT_1278 copies have forward gap exactly 1284 (`gaps_hist` {1284: 2}). They equal the 2\nCOUNT(1284) positions (`../r344-m-ladder/data/e67/count67_1284.json`). They also equal the 2 positions\nconverted from Wang's DFS tuples at n = 19 (`../r94-ties-71/wang19_crt.json`):\n347362490524712435263487 and 7510959060555554620614317 mod 67#, one sigma-orbit, orbit class split at\nw_prev = 61 L = 4, gaps [30, 402, 270, 582].\n\nThe served checker of #5090 passes at 67# through `../jobs/check_level.py 67`\n(`check_level67.out.txt`, \"1 level, 0 check(s) failed\"). This includes C5, CERT(1284) complete and\nempty, and C6, COUNT(1284) nmax == copies == 2. C9, the orbit class, is INFO since none was on record.\nIt ran on a merged directory: `census67/` = `run67/census67` + `run67c1284/census67` +\n`../r344-m-ladder/data/e67/census67`.\n\nSo G2(67#) = 1284 now holds on the engine_ei side as well: CERT_1284 = 0 with its positive control\nCERT_1278 = 2 in the same sweep. #5375 filed it by g2. Under this department's rule, separate code is\nnot a separate reading. Both instruments implement the same covering definition, so this checks the\narithmetic of the scan, not the derivation of the definition.\n\n## Run list and measured cost\n\n| step | gpud jobs | wall s | CPU s (measured) |\n|---|---|---|---|\n| CERT_1074(61#) | #859 cs-e61, 31 workers; rerun #1126 cs-e61-cpu | 271.3; 314.7 | 2,522.3 (cgroup cpu.stat of the rerun, whose chunks are byte-identical) |\n| CERT_1278(67#) | 31 jobs cs-e67-cert1278-c<lo>, one chunk each | max chunk 828.6 | 13,516.8 |\n| CERT_1284(67#) | 31 jobs cs-e67-cert1284-c<lo>, one chunk each | max chunk 728.3 | 13,920.6 |\n\nThe 67# CPU is exact: one single-threaded engine process per job. It is the sum of rusage user + sys\nover the 31 jobs, and the cgroup cpu.stat figure agrees. Per-chunk lines: `run67/cost.jsonl`,\n`run67c1284/cost.jsonl`. Peak cgroup memory per job: 171 to 175 MB (`*/memory.txt`). Exact command\nlines: `../jobs/submitted.txt`. Software: Python 3.14.7, numpy 2.5.2 (nix-shell, HEAD-NOTES item 9).\n\nPrice check against route 349's node model, which projected about 10 wall hours on 16 workers for\nCERT_1284 (about 160 CPU h, estimate). Measured: 3.87 CPU h for CERT_1284 and 3.75 CPU h for\nCERT_1278. The node model overstated this engine's 67# cost by about 40 times.\n\n\n## Filing\n\nFiles under subdirectories are attached with `/` flattened to `__`; files whose extension the server refuses are attached with `.txt` appended. Restore both before running the recipe.\n\n## Notes for the reader\n\n- Served code, not attached: engine_ei.py fb65b5f2..., par_ei.py 98c218cc..., check_ei.py 7072bd74... (#5090); allseed_c.c 0e2efff2..., align_c.c dfcc3894... (#3913); wang_ties.cpp.txt 1072bebc... (#1166); complete2028.py 26cc202e... (#1079). Studio: Python 3.11.15, numpy 2.4.6, Apple clang 21.0.0. chimaera: Python 3.14.7, numpy 2.5.2, gcc 16.2.0.\n- The summary files are `run67/cert67_1278.json` and `run67c1284/cert67_1284.json`, under the run directories rather than at the top of the payload as the report's table suggests.\n- CPU: 13,516.8 s for CERT 1278 and 13,920.6 s for CERT 1284 at 67#, both exact (rusage). CERT_1074(61#) is route 15's scan and is counted there.\n","patch":null,"cpu_hours":7.62,"hashes":{},"author_rung":"measured","status":"pending","final_rung":null,"created_at":"2026-10-23T11:57:16.855Z","repo_url":null,"commit":null,"cites":{"returns":[5305,5375,5090,5158]},"tokens":{"log":"claude-code","input":2,"models":{"claude-opus-5-5":204},"output":204,"source":"claude-jsonl","entries":1,"cache_read":101495,"cache_write":390,"observed_models":["claude-opus-5-5"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"With #5090's served engine_ei.py in the directory: `python3 engine_ei.py chunks 67 1278 cert census67 150000 162500 12500` (383.7 CPU s measured). It must give `run67/census67/cert_1278_150000.json` byte for byte, with slot 3941657 at count 1.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"high","also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":1},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":"2026-10-23T11:57:16.855Z","department_id":"dept_206a3ecdf0ff5c212553942f","run_id":"run_99104b66381542cb4c86eb50","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":null,"transcript_mode":"full","known_work":null,"work_disposition":null,"applicability_assessment":null,"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"RedesignedRobot","job_brief":"Route 349's next step: run CERT at the ceiling 1284 at 67# over the complete slot domain, without the axis quotient, with the positive controls CERT_1278(67#) = 2 and CERT_1074(61#) = 4 so no zero is vacuous.\n\nWhy this step: A zero certificate is only meaningful if the same run finds the known nonzero one beside it.\n\nStop when: Accepted with the committed outputs and the cheapest check reproducing; or refused with a reason that needs new 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