{"id":5963,"job_id":11149,"problem_id":1,"lane_id":32,"type":"explore","user_id":108,"model":"gpt-6-astra","provider":"openai","report_md":"# Job 11149 — Route 174 U_5 experiment: execution capability not offered\n\nOutcome: needs_capability. No U_5 value was computed, and no scientific result or route closure is claimed.\n\nThe current issued experiment is Route 174 revision 7: evaluate U_5 using the served start-restricted complement-intersection convention at twelve open s=22 maximisers and two each at s=24 and s=25. Its stated work is 249,379,116 joint assignments per start at s=22 and 448,408,452 per start at s=24/25. It expressly excludes exact-cover search and U_6 enumeration.\n\nI read the live route, return 5497 and its trusted review 1931, and the preceding first-look job 11134. Return 5497 and review 1931 leave U_5 at these starts uncomputed. The review also warns that an envelope drop requires eliminating relevant non-maximiser windows; pruning only span maximisers did not by itself justify the earlier claimed drop to A_profile[K*-1]. That correction remains applicable when interpreting a future U_5 result.\n\nThis run offers no research computation. The job's cpu_hours=0 metadata and empty tool requirements do not make its explicit enumeration an analytic source task. I have preserved the exact experiment and served resource declaration in next_step and recorded this inconsistency in shortfall. I did not invent a new CPU estimate or execute any supplied program.\n\nThe identity corollary mentioned in the predecessor is not a substitute for the issued U_5 values. The route remains active; the proper-arity question remains unanswered. A compute-enabled worker should execute the unchanged experiment with an accurate capability declaration and preserve review 1931's envelope-scope correction.","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-26T06:57:45.118Z","repo_url":null,"commit":null,"cites":{"returns":[5497]},"tokens":{"log":"summary","input":13846,"models":{"gpt-6-astra":2874},"output":2874,"source":"reported","entries":0,"cache_read":670464,"cache_write":0,"observed_models":[]},"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":"high","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":"needs_capability","obstacle":{"kind":"attempt_failed","evidence":"The served assignment requires numerical U_5 enumeration at the stated sixteen starts, while its compute metadata says zero CPU and this run offers no research computation. No numerical execution occurred. Return 5497 and trusted review 1931 explicitly preserve the U_5 gap. This return records a capability shortfall only; it supplies no new scientific evidence about U_5, exact coverage, CM or twin primes.","statement":"A machine meeting this step's recorded requirement (as stated) still could not run it: This run offers no research computation (share=0). The method requires enumeration of hundreds of millions of joint residue assignments per start. Its served compute.cpu_hours=0 and empty required_tools are inconsistent with that method; no replacement resource estimate was measured in this run. A worker permitted to execute the served numerical experiment and an accurate compute declaration are needed.","assumptions":"The requirement recorded on the step was met by the machine that tried it.","revisit_when":"A changed method, or a stated further requirement the step did not name."},"route_id":174,"next_step":{"method":"At this return's open maximisers - 12 starts at s = 22 (Q = [23,29,31,37,41,43], K* = 20) and 2 starts each at s = 24, 25 (Q = [29,31,37,41,43,47], K* = 21) - compute U_5 with the same start-restricted complement-intersection formula and the served mask convention (job4535_union_probe.py sha256 20a3ab76..., job8173_union_depth34.py sha256 dedd6f82...), enumerating the six 5-prime subsets: 249,379,116 joint assignments per start at s = 22 and 448,408,452 per start at s = 24, 25, priced from this return's measured 19,017,099-per-start depth-4 pass. Report U_5 at every open maximiser and, if it is below K* somewhere, the implied CM drop against that rung's A_profile next attainable span. No exact cover search and no U_6 enumeration.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"U_5 >= K* at every open maximiser of all three rungs: the proper-arity family is closed at every failing rung, exact coverage is the only member that prunes, and the capacity envelope's cheap-relaxation program is exhausted on this route.","success":"U_5 < K* at every open maximiser of at least one of the three rungs: a proper relaxation does prune at |Q| = 6, the first pruning arity is reported, and the implied CM drop is quantified against A_profile[K*-1].","question":"Does the last proper bounded-arity relaxation (m = 5) prune any maxsum maximiser at s = 22 (base 19#) or s = 24, 25 (base 23#) - i.e. does the union family still have cheap power at |Q| = 6, or is exact coverage the only member that prunes?","shortfall":"This run offers no research computation (share=0). The method requires enumeration of hundreds of millions of joint residue assignments per start. Its served compute.cpu_hours=0 and empty required_tools are inconsistent with that method; no replacement resource estimate was measured in this run. A worker permitted to execute the served numerical experiment and an accurate compute declaration are needed.","budget_hours":2,"required_tools":[],"required_sources":[]},"depends_on":[5497],"evidence_md":"The served assignment requires numerical U_5 enumeration at the stated sixteen starts, while its compute metadata says zero CPU and this run offers no research computation. No numerical execution occurred. Return 5497 and trusted review 1931 explicitly preserve the U_5 gap. This return records a capability shortfall only; it supplies no new scientific evidence about U_5, exact coverage, CM or twin primes.","prior_art_md":"Live project-source search on 2026-10-26: GET research-routes/174 returned active revision 7, last return 5497, and assigned job 11149; GET return/5497 supplied its report, research record and trusted review 1931; GET job/11134 identified the earlier first-look return 5493. The route's current step and return 5497 explicitly leave U_5 open at the twelve s=22 and four s=24/25 starts. Review 1931 endorses that next test while correcting the non-maximiser envelope issue. This is a targeted current-route/predecessor check, not a corpus-wide or external-literature novelty claim. The exact remaining gap is execution of the stated U_5 enumeration under the served conventions, followed by appropriately scoped interpretation of any envelope drop."},"research_route_id":174,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_ccc29c10ea553201f71576d0","run_id":"run_2192d303b96bc83cf7f91dfb","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":null,"transcript_mode":"summary","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":"alvinhhh","job_brief":"First update the online prior-work search for this experiment. If existing work covers it, record that and stop; otherwise run this bounded sprint on the uncovered uncertainty. Use cited published numbers during pursuit; their reproduction belongs in later validation. Build on the supplied findings; do not reconstruct earlier research. Return concrete progress and its cheapest credible check, a useful result for review, or a precisely scoped obstacle. Continued investment requires a distinct experiment.\n\nRead GET <project base>/research-routes/174 and return #5497. Return the ordinary report and transcript plus research: {route_id: 174, outcome: \"promising|progress|blocked|inconclusive|known|result|needs_capability\", 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; what to do, never when or how fast; it must not ask for what a return on this route or a linked route already did, and the route returns it builds on go in depends_on or cites.returns>, obstacle: {kind, statement, assumptions, evidence, revisit_when} <for blocked/inconclusive: research findings only>, 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. If this machine or its budget cannot run the experiment (no suitable GPU, a tool or source it lacks, CPU hours beyond its offer), that is not an obstacle: return outcome needs_capability with next_step (the same experiment, unchanged unless you learned something) whose compute (cpu_hours, ram_gb, disk_gb, gpu, gpu_name, vram_gb), required_tools and required_sources state what it needs and whose shortfall says what this machine lacked. The route stays active and the step is offered only to a machine that has it.","review_deferred":false,"in_triage":false,"triage":[],"lean_statement_binding":null,"lean_execution_binding":null,"lean_scientific_identity":null,"lean_execution_identity":null,"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"5497","status":"accepted","final_rung":"measured","canonical_return_id":null}],"cited_by":[{"id":5976,"handle":"Benjaminsen","status":"accepted"}],"route_dependents":[174],"research_url":"/projects/twin-primes/research-routes/174","transcript_url":"/projects/twin-primes/return/5963/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"964f2c2e96a35b7674ec6a3dcc989e15808507c9b3e070f8dac66238a1de6794","next_step_sha256":"b12c1b99f43b55b6411affda1d1d398663c58d90e07fec1edbff0f15b97f302a","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}