{"id":4355,"job_id":8947,"problem_id":6,"lane_id":null,"type":"explore","user_id":90,"model":"claude-opus-5-5","provider":"anthropic","report_md":"# Job 8947 (route 303, rescue): a tunnel-ranked t = 13 connect to the served upper trail\n\n## Outcome\nblocked (scoped obstruction)\n\n## Method\nRescue of route 303 (#4339). Diagnosis: #4339's T9 <= 21 / T14 = 0 could come from the connect objective, not the junction. The stock and Q9m9 rankings never reward gxr's Q14+Q3 tunnel. Lever tested (cheapest test of lever (a)'s target, T14 >= 3 next to T9 >= 23, keeping the served Q19..Q64 instead of building a new upper trail): HashClash 892f02e t = 13 connect ranked by gxr's own tunnels, T9 + w*T14 (patch), plus a keep-all variant that lists every verified connection with T9 + 3*T14 >= 30, then z3 L = 63 checks. Inputs as #4339: forward t = 0..12 (500k), srv18_r (served Q19..Q64, dQ18 0x90400b80; 190,892). Checks: static T9/T14 (gxr rules); z3 rows 1..16 + L = 63 padding (controls q5, s115: sat); row cuts. gxr not run: no candidate beats q5/s115.\n\n## Findings\n- Stock connect (control): 345 distinct paths, T14 <= 4, T9 <= 20, 1 L = 63-sat (T9 18, T14 1).\n- T9 + 1*T14: frontier T9 26, T14 1 (bit 0). T9 + 3*T14: frontier T9 22, T14 4 (bits 0, 13, 19, 20). So T14 = 0 is not forced by the served upper trail.\n- Keep-all T9 + 3*T14 >= 30 (complete, 929 distinct paths; superset of T9 >= 21 with T14 >= 3): 0 paths with T9 >= 23 and T14 >= 3 even unpadded (max T9 at T14 >= 3 is 22); 0/929 L = 63-sat. With T14 bits 14..21 excluded: 66 paths, 0 sat, max T14 3 (T9 21).\n- Row cut on 56 sampled paths: rows 1..12, 13, 14 and 15 + padding all sat (38/38 T14 >= 3 included); rows 1..16 unsat. The conflict is row Q16 (m15 = RR(Q16-Q15,22) - F - K15 - Q12).\n- Padding-friendly lower rows (18 forward paths equal to s115 on signed Q6..Q12), keep-all >= 21: 648 distinct, 74 L = 63-sat (11%, as #4339), every one T14 = 1 (bit 0 only), sat max T9 22 (s115's mask, 21 after the padding rule), so nothing beats q5/s115.\n- Junction: dF13..dF16 NAF served 3/6/10/8 vs 7..13 connected; signed digits Q13/Q14 served 5/12 vs 20-23/15-21.\n\n## Shared cause\nShared cause (#4307 p6, #4339 q5/s115, here): the t = 13 junction between #4276's forward set and any served-like upper set must realise dense boolean-function differences (dF13 NAF 7-13 vs 3 on served). This puts 15-23 signed digits into each of Q13 and Q14, which pins Q14 (no free T14 bits) and the m15 window. Neither input set contains the served modular differences at rows 12..17 (0/500k, 0/190,892), and #4149/#4128 rule out keeping them under padding.\nNew: ranked by gxr's tunnels, the connect does reach T14 = 3..4, so T14 = 0 in #4339 was the objective. But the complete keep-all list (929 connections, T9 + 3*T14 >= 30, same inputs) has no path with T9 >= 23 and T14 >= 3 even unpadded, and none fits L = 63. Rows 1..15 always fit; row 16 breaks it. Lower rows that fit L = 63 (s115 family, 74/648 sat) never give more than T14 bit 0, which gxr's auto rule drops. So on this junction, T14 (>= 3) and L = 63 exclude each other. Lever (a)'s premise that Q14..Q16 could keep T14 >= 3 next to T9 >= 23 fails for the served upper trail at t = 13. A trail with fewer Q23 conditions would only offset that loss; it does not restore T14. The best L = 63 tunnels stay q5/s115's (T9 21, T14 0 in gxr), i.e. #4339's 2^-4.40.\nScope: these input sets (HashClash -a 500k/200k, -e 4), t = 13, T14 as defined by gxr, L = 63 one block, z3 rows 1..16. The keep-all connect is branch-and-bound over all pairs above the threshold.\n\n## Verification sufficiency\nMeasured: HashClash enumeration above the keep-all threshold plus per-path z3 decisions (one solver, no UNSAT certificate); checker sat on q5/s115. Rerun: README.txt recipe (~4.8 CPU-h), then make_results.py.\n\nFiles carry the prefix `job8947-`; a subfolder name is joined with `_` (data/x -> data_x), and .cpp/.patch/.idx files get a `.txt` suffix. Hardware: Intel i7-12700, 14 threads; ~5.5 CPU-h. The tokens and cpu_hours also cover sundayweaver's #4307 recheck (chat #7192, ~1.0 CPU-h), whose advisory review the server refused because #4307 was already decided.\n","patch":null,"cpu_hours":6.5,"hashes":{"job8947-dfw.py":"feddfda3c0872f94597406a4ce9599200199b6ef9290e370109a06540fd1da0e","job8947-fwd.sh":"e4aa4abf43a935d0b9baa8eab04a06dc60a6fe2cebe6c69eb51aa00deb837ca3","job8947-summ.py":"0018b8eff3d195147c7b1e38cc52e1656f7958f84d27cf375880de4aa876dbbc","job8947-tunj.py":"8d9966c9ae5b008592e17f445fdb750787db6b9b188c1a991ab0ebf8e81c6b7a","job8947-relax.py":"1b4be5fe6829a1fe2944b6a4a2cd05c0517022027b35e0ad994ade6ddc95d44d","job8947-zscan.py":"5b0e25167e1c3a61977cb6610f0f5fa4be4f6ded847d62a8bf90c44a285e2522","job8947-mkseed.py":"b27efac93b10021a936f66cf392331a4a0be4d2cb68ba17edf4c56362676915d","job8947-README.txt":"89d2b7e428463883d05532980da2ac5e0d261455b6a3445ef07e24c24cbd0451","job8947-build_hc.sh":"8adfab3b686de4c391a6440ae28ed2d3bdd27051d40d6e45103df7b7d4b0c73f","job8947-lowmatch.py":"df699f8a59cee3736dfb7f538c9c3097ce5cc492b4f96cfa5c99a86cec18a0d5","job8947-modmatch.py":"5914844f71d59af8f54cbaf6c4d4ef9ea64204397d5cee774d6027d3a1ccbee6","job8947-results.json":"74a2cbb640710e590685531f7a34f17cd1c7a2f8f2633a5ffa4403dc794588f0","job8947-mk_keepall.py":"1f94ce8c9ad71fc69943fb7df3719d5d7eb3cc8e94033b1767e35d3093fb5c7d","job8947-data_ctl.jsonl":"ac062528826aad6a5c5309b2daa267c221ba69f10505a139e39cbb5232fb20a8","job8947-split_paths.py":"5f9dc8759808ea3b884dcc1c13bcbd0e829dcee344cc6aedee79c83af99d05a9","job8947-subset.cpp.txt":"e00db174b5b3649435cbe71c1a3bd0f1b8d0bc4ca7e9ed308020cb883136942f","job8947-tunj.patch.txt":"21fcafce0bceb13c4dc30b4b5953291e78efc66167194a55f7ddada8113275dd","job8947-make_results.py":"fc946d1dd36ccb7b758b3f4422d0c65abb202d5562560378386d6224ca88661d","job8947-data_j1_L63.jsonl":"4c94ef97a3632ac9024e0af5ba98b29372ec339bff30fcdb5dfe8721ff9f2885","job8947-data_j3_L63.jsonl":"a8180f35e8eca875efd68b23934e22e1d78fd44d0ee937f0839be3aa68fecf98","job8947-data_junction.txt":"fc9ac788e3bfb65818645f7c25529545b7a61b3278c69c17f37f11ddc2b3b9ec","job8947-data_rowcut.jsonl":"c25e33cc3e23bbde94871abd55905683783cc3cb0712d12fcaf962a745f3631b","job8947-dumpmasks.cpp.txt":"8e96c20f8a7bfa04695fc8ca80bf520a98fffe286d9ba1c2903334ff4833f400","job8947-showpaths.cpp.txt":"fc2aa1c20637f4576f32711f864f85cabe250b974a79883984c6d3584bae5b60","job8947-data_ka30b_L63.jsonl":"aa138c87c021c4208f20a6adde567bde47d3e8a3d2593f0c00820c6e4fd4c752","job8947-data_ka30w_L63.jsonl":"7046d7fe5207ecf9a93d04165a69903a510b28f6d8d2006cba49920d16849dd5","job8947-data_stock_L63.jsonl":"b54269b524c7c1d2ed098346eef3001174a000afdc3d00ba408039b96a3a6480","job8947-data_connect_runs.txt":"6f8bbaa81315829936557ce2c1833f08d3213acceefe96d90cde85e436514857","job8947-data_low_s115.idx.txt":"e4f5f5488d39af973f0c0b7d98e9b564324cbc5ca53a10055c8dbb15ccd8f19d","job8947-paths_pad_example.txt":"865b27683cd83895a55f539abd3e2d2eede65e2124701b5d4de8cf34978f804f","job8947-paths_t14_example.txt":"9e812997286d738a797c3c480e91dfb82a6b2a59a0a1271c00fd70b21b52b2ce","job8947-data_ka_s115_L63.jsonl":"b10f133b7c884222b6c7bf8f48f61248e5258bc6d12830fc7ebe901bcaa13377","job8947-paths_srv18_r_seed.txt":"d6f611f5afbf28027a3ddee65b2a46a5b485234188c84d9306b03eab61c899c7"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-17T01:52:14.796Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[4339,4326,4307,4276,4128,4149],"messages":[7220]},"tokens":{"log":"summary","input":480,"models":{"claude-opus-5-5":44228},"output":44228,"source":"reported","entries":0,"cache_read":36658061,"cache_write":454812,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"See job8947-README.txt (build_hc.sh: Boost + HashClash 892f02e with job8947-tunj.patch.txt; fwd.sh: forward set t = 0..12 by job 8781's recipe; srv18_r backward from served Q19..Q64; connect t = 13 ranked T9 + w*T14 and keep-all (mk_keepall.py); tunj.py static T9/T14; zscan.py z3 rows 1..16 + L = 63 padding; make_results.py -> results.json). About 4.8 CPU-h.","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":"blocked","obstacle":{"kind":"scoped_obstruction","evidence":"work/data/ka30b_L63.jsonl, ka_s115_L63.jsonl, stock_L63.jsonl, ka30w_L63.jsonl, rowcut.jsonl, junction.txt, results.json; tunj.patch, mk_keepall.py, tunj.py.","statement":"At t = 13, joining #4276's forward set (500k, t = 12) to served Q19..Q64 (srv18_r, 190,892) admits no connection with T9 >= 23 and T14 >= 3 even unpadded (complete keep-all, 929 paths with T9 + 3*T14 >= 30, max T9 22 at T14 >= 3), and no L = 63-compatible connection with T14 > 1. The 929 T14-rich paths are 0/929 sat (row 16 breaks it; rows 1..15 sat). The padding-friendly s115 lower rows give 74/648 sat, all T14 = bit 0.","assumptions":"HashClash 892f02e, -e 4 pools, dM m5 +2^10 / m10 +2^31; gxr's T9/T14 definitions; L = 63 ((m15 >> 24) == 0x80); z3 4.15 rows 1..16; static tunnels (padded tunnels are smaller or equal).","revisit_when":"a lower set or connect step (t != 13, or a forward set keeping served dQ12/dQ13 or grown with --minQ314tunnel) gives dF13..dF16 NAF weights near served (3/6/10/8) with rows 15/16 not served (padding). Lever (b) is independent of this route."},"route_id":303,"depends_on":[4339,4276,4326],"evidence_md":"Shared cause (#4307 p6, #4339 q5/s115, here): the t = 13 junction between #4276's forward set and any served-like upper set must realise dense boolean-function differences (dF13 NAF 7-13 vs 3 on served). This puts 15-23 signed digits into each of Q13 and Q14, which pins Q14 (no free T14 bits) and the m15 window. Neither input set contains the served modular differences at rows 12..17 (0/500k, 0/190,892), and #4149/#4128 rule out keeping them under padding.\nNew: ranked by gxr's tunnels, the connect does reach T14 = 3..4, so T14 = 0 in #4339 was the objective. But the complete keep-all list (929 connections, T9 + 3*T14 >= 30, same inputs) has no path with T9 >= 23 and T14 >= 3 even unpadded, and none fits L = 63. Rows 1..15 always fit; row 16 breaks it. Lower rows that fit L = 63 (s115 family, 74/648 sat) never give more than T14 bit 0, which gxr's auto rule drops. So on this junction, T14 (>= 3) and L = 63 exclude each other. Lever (a)'s premise that Q14..Q16 could keep T14 >= 3 next to T9 >= 23 fails for the served upper trail at t = 13. A trail with fewer Q23 conditions would only offset that loss; it does not restore T14. The best L = 63 tunnels stay q5/s115's (T9 21, T14 0 in gxr), i.e. #4339's 2^-4.40.\nScope: these input sets (HashClash -a 500k/200k, -e 4), t = 13, T14 as defined by gxr, L = 63 one block, z3 rows 1..16. The keep-all connect is branch-and-bound over all pairs above the threshold.","prior_art_md":"Xie & Feng (ePrint 2010/643, 2013/170): the dM; Stevens (ePrint 2012/040, HashClash 892f02e): connect and tunnels (stock ranking mixes the Q14/Q3 tunnel with others). #4128/#4149: served rows 12..16 (keepmod) are padding UNSAT for L = 44..63. #4276: forward set. #4307: Q9m9 connect (p6, T14 2 bits). #4326: gxr. #4339: srv18_r, q5/s115, 2^-4.40.\nOnline search (2026-10-17, \"single-block MD5 collision connect tunnel Q14 Q3 padding\"): ePrint 2012/040, 2013/170, 2008/230, CWI pages; none treats padding with the Q14+Q3 tunnel or a tunnel-weighted connect.\nRemaining gap: no t = 13 connection of these sets has T9 >= 23 with T14 >= 3, and none with T14 >= 2 fits L = 63. What is still missing is a junction (round 1 or rows 14..18) whose dF13..dF16 are as sparse as served while dQ15/dQ16 differ enough for padding. Not tested: connects at t != 13, and forward sets grown with --minQ314tunnel or required to keep served dQ12/dQ13."},"research_route_id":303,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_2a239d5b5a891d355de5bb8e","run_id":"run_20ecf32618b8649c3a360963","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":"sundayweaver","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/303 and return #4339. Return the ordinary report and transcript plus research: {route_id: 303, 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 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