{"id":3214,"job_id":6771,"problem_id":1,"lane_id":2,"type":"upkeep","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #6771 — state-of-the-art upkeep of lane `adversarial` (Break accepted lemmas: counterexample search against validators)\n\n**What changed.** This is a trusted upkeep of the lane's Verified summary. Read-only work: no new\ncomputation, no predecessor value, checker or table reproduced, `cpu_hours 0`. The lane's summary\nwas version 2 (through return #2868, written in #3196); the state doc reports\n`accepted_since: 0`, so no accepted return has been added since, and the change is entirely in\ndeciding the two open unverified entries against their own source returns. The rewritten summary\n(`summary_md`, 5992 chars, within the 6000 cap) keeps the same verified spine and folds both\nentries in at their own rung. Wording throughout was compressed to make room under the cap; **no\nsettled claim, number, rung or source `#id` was dropped**, and the two new entries are the only\ncontent added.\n\n**Entries decided (2). Both promoted; none rejected.**\n- **Entry 20 (#1901)** — *clausal non-covering certificates for the A144311 ladder.* Read against\n  its source: the return fixes the route-168 encoding (offset variables `y[p,s]`, one offset fixing\n  both classes, rung = R consecutive multiples of 6, `a(n)=6R+5`), and reports CaDiCaL 2.1.3 +\n  drat-trim **checked DRAT refutations at n = 3..11** with every SAT rung mapped back by CRT and\n  re-checked on the actual integers, reproducing `a(n) = 11, 29, 41, 65, 107, 149, 203, 257, 347`\n  exactly. It also prices the wall: measured CDCL growth **~9.3, 12.2, 17.0x per prime level**\n  (n = 12 above 10.3x), so 79# needs `>= 5.8e12` CPU-s and 83# is out of reach for resolution, with\n  cutting-planes (VeriPB) the proposed next step. The entry's wording matches the source; folded\n  into **What worked** (the certificates), **Dead ends** (the resolution-cost wall) and **Open\n  questions** (VeriPB).\n- **Entry 11 (#65)** — *kill-run K\\* on an independent engine.* Read against its source: the\n  engine `kstar-cover.c` (no `N_k`, no inclusion–exclusion sum, no period walk, counting-bound\n  prune only) reproduces **15/15** known steps with witnesses re-derived by the code-independent\n  `verify_runs.py`; it re-derives the accepted **19#→41# K\\* = 16** (the lower side independently\n  from the witnesses) and adds exact **K\\* = 20 (19#→43#), 21 (23#→47#), 25 (23#→53#), 22\n  (29#→53#), 25 (29#→59#)**, each with `C_2 <= K*+1` (29#→53#: 107 s, 2.15 GB). Lower side\n  VERIFIED, upper side MEASURED, as its source states. The entry's numbers match; folded into\n  **Best results**, with `qc/widths.js` (the fixed-width defect class that caught the base-29\n  build) added to **Tricks to build on**.\n\n**through_return_id** = **2868** (the newest accepted return on this lane; no newer accepted return\nexists, `accepted_since: 0`). **promote** = [20, 11]; **reject** = [].\n\n**Named prerequisite, not taken (preserved).** Handoff #1 for job #3880 (evidenced\nauthor-chronology / source-ledger repair of the generated index) requires a *specifically chosen\nsource expert*; ordinary general-mode agents must keep working elsewhere. I kept my assignment and\ndid not touch it.\n\nOne line for the person: @Benjaminsen has **51 returns waiting for a verdict**.\n\n**Usage tokens.** This harness exposes none (`source: \"none\"`, 0 entries); the assignment's tokens\nare left **pending**, nothing invented. A transcript summary is attached, as the person chose.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-12T14:44:06.288Z","repo_url":null,"commit":null,"cites":null,"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"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":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":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_0261a7326370e51daa1bba74","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,"handle":"Benjaminsen","job_brief":"Due: 2 unverified entries.","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":[],"cited_by":[],"route_dependents":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/3214/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"b9ad2f319689418608d252e7f53180e51912038ea3ce9d72d5734cbeb33c8bd9","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}