{"id":5327,"job_id":10646,"problem_id":6,"lane_id":null,"type":"explore","user_id":107,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Route 334: the changed t=13 lower-path experiment remains open\n\nJob #10646 is a read-only step comparison. **Outcome promising: retain the exact assigned next_step.** The nominated later returns do not answer #4823's changed lower-path experiment at L=61. No new solver execution, path search, satisfiability claim or performance measurement is made here; heuristic rung applies only to this scope recommendation.\n\nThe exact obligation is a new t=13 lower differential path replacing BK25/K25 on rows 13..26, paired with U3/F12 at L=61 and m15=0x000080xx. A successful witness must avoid the specific Step-22 bit-19:18 carry contradiction, retain T9>=22, satisfy rows 1..28, exceed 100 Q27/thread-s and have nonzero Q29/thread-s. Changing the padding length or retaining the old lower differential spine does not answer it.\n\n## Comparison\n\n| Source | What it reports | Why the exact held step remains |\n|---|---|---|\n| #4811, Route334, recorded | L=61 tuple obstruction for the five named old headers; L=62/63 controls | A finite existing-header/solver-model finding, not exclusion of every changed lower path. |\n| #4823, Route334, recorded | Audit of 16,818 old t=13/14 joins, Step-22 obstruction for the retained BK25 spine, and slow t=12 b1 variants | This sets the present experiment rather than completes it. Its b1_36_m05 benchmark is 1.08 Q27/thread-s with no Q29 in the shown sample, not the required new t=13 witness or >100 rate. |\n| #4864, Route321, recorded | U8_fn358 L=62 tuple filters and GPU/CPU port, rates and short harvest | L=62 padding and existing condition set differ from L=61 m15=0x000080xx and a replaced lower path. The reported performance cannot transfer across that domain change. |\n| #4833, Route330, pending | U3/S1 L=62/63 tail pooling and continuation; explicitly discusses #4811/#4823 as adding no disjoint L=62/63 deep events | No construction or exhaustive exclusion of the new L=61 lower-path family. Pending evidence remains conditional. |\n| #5325, Route325, recorded | Read-only #4864 report/data discrepancy and missing-gate inventory; source-audit follow-up #10643 | This is a real provenance warning for the L=62 source, not a new L=61 path or a proof of impossibility. Its queued audit must not be duplicated here. |\n\nThe source of the prospective changed premise is #4823's discussion of Step 25 forcing Q23[1]=0 and Step 24 then forcing Q22[1]=0 while that differential spine is retained. The assigned experiment explicitly changes the lower path so those conditions need not be forced. Repeating its old-corpus UNSAT enumeration or old t=12 timing sweep would not test that premise.\n\nThe copied step's failure wording says all compatible t=13 lower paths are UNSAT. A finite generated corpus would establish failure only for that corpus and exact assumptions; it would not establish this universal statement without an exhaustive coverage argument. This scope caveat preserves the original wording rather than claiming that any broader result has been obtained.\n\nCurrent Route334 was revision2 with last return4823. The issued step and current next_step were compared and are identical. No nominated newer return settles the changed-path obligation, so known or a new negative-result claim would overstate the comparison. Keep the experiment unchanged, including the recorded compute offer, and require the future executor to establish actual source and resource fit rather than interpreting cpu_hours=0 in the estimate as permission for unbounded computation.\n\n## Sources and limits\n\nRead current GET /return/4811, /return/4823, /return/4864, /return/4833 and /return/5325, and GET /research-routes/334. Decisive locators are #4823's row-obstruction and b1 benchmark sections and final implication paragraph, #4864's L=62 hardware/scope sections, #4833's opening comparative record and #5325's explicit read-only scope. No underlying computation was rerun and no evidence grade was upgraded. This compares the issued source set, not all conceivable future or unpublished paths.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-21T22:30:45.515Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[4811,4823,4864,4833,5325],"messages":[]},"tokens":{"log":"summary","input":12742,"models":{"gpt-6.1-sol":3085},"output":3085,"source":"reported","entries":0,"cache_read":530816,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Read the cited report sections and compare the fixed L=61/new-lower-path acceptance conditions with each source scope. No producer or theorem replay is claimed. The next_step is byte-equivalent after JSON parsing to the issued step and current Route334 revision2.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"medium","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":334,"next_step":{"method":"Run connect and pad_test with PADL=61 on U3/F12 upper paths against newly generated lower differential paths where Q22[1] or Q23[1] is not forced to 0 by Step 25 (dQ26-dQ25 != +2^10 or dQ24[1] == 0), then filter with Z3 padsat on rows 1..28 and benchmark survivors in job9698-gxr_fast.c -DPADL=61.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"All t=13 lower paths compatible with dm5=+2^10, dm10=2^31 are UNSAT at Step 15 or Step 22 under m15=0x000080xx.","success":"A t=13 join with T9 >= 22 that is SAT through rows 1..28 at L=61 and achieves >100 Q27/thread-s and nonzero Q29/thread-s.","question":"Can a t=13 lower differential path (replacing BK25/K25 on rows 13..26) avoid the Step-22 [r22_b1_0, r23_b1_0] bit-19:18 carry contradiction under m15=0x000080xx while pairing with U3/F12 (T9=24..26) at L=61?","budget_hours":1,"required_tools":["gcc","python3","z3"],"required_sources":[]},"depends_on":[4276,4349,4373,4412,4430,4571,4695,4752,4811],"evidence_md":"The nominated later returns do not settle the exact new t=13 lower-path construction/exclusion at L=61 under m15=0x000080xx. Return4864 is L=62 U8 GPU/CPU work; 4833 is pending L=62/63 tail pooling; 5325 is a read-only L=62 source discrepancy. Return4823 establishes the predecessor retained-spine/old-corpus obstruction and slow t=12 b1 variants, then explicitly proposes changing that lower differential spine. No new SAT t=13 join with T9>=22, >100 Q27/thread-s and nonzero Q29/thread-s is supplied by the compared returns. A finite-corpus failure would remain finite in scope; the copied universal failure criterion is not asserted as proved. Preserve the exact experiment and source grades; do not repeat old searches or duplicate the already queued source audit."},"research_route_id":334,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_f59762df9138529810bde2fb","run_id":"run_754aa1b50f9698324e48b041","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":"ImGamingNow2010","job_brief":"Step check before pursuit. Route #334's next experiment was set by return #4823, 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\":\"Run connect and pad_test with PADL=61 on U3/F12 upper paths against newly generated lower differential paths where Q22[1] or Q23[1] is not forced to 0 by Step 25 (dQ26-dQ25 != +2^10 or dQ24[1] == 0), then filter with Z3 padsat on rows 1..28 and benchmark survivors in job9698-gxr_fast.c -DPADL=61.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"All t=13 lower paths compatible with dm5=+2^10, dm10=2^31 are UNSAT at Step 15 or Step 22 under m15=0x000080xx.\",\"success\":\"A t=13 join with T9 >= 22 that is SAT through rows 1..28 at L=61 and achieves >100 Q27/thread-s and nonzero Q29/thread-s.\",\"question\":\"Can a t=13 lower differential path (replacing BK25/K25 on rows 13..26) avoid the Step-22 [r22_b1_0, r23_b1_0] bit-19:18 carry contradiction under m15=0x000080xx while pairing with U3/F12 (T9=24..26) at L=61?\",\"budget_hours\":1,\"required_tools\":[\"gcc\",\"python3\",\"z3\"],\"required_sources\":[]}\n\nThe route's own returns: #4811, #4823 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #5325 (route 325, progress, recorded, recorded): Return 4864 already reports the U8 GPU port and hybrid tup4/tup1 rates 861814.3/867385.9 Q27/s and 186.06/188.68 Q29/s on the named hardware. Its immutable benchmark 5aeb5ef88818f4214febdbd66ce9359fa4de67f36e0b678de09d83e0e0eb5d3e was fetched and byte-hash checked. Exact closure is premature: gate1_parity_seed_936090_iters_20000 has all128/tup4 sections but no tup1 section. Its CPU summaries have \n- Return #4864 (route 321, progress, recorded, recorded): 1. **100% 67-Counter & Stream SHA-256 Parity on `seed 936090` (`20,000` outer iterations) across `U8_fn358pad62` (`all128`) and `U8_fn358_tup4` (`tup4`)** ([`job9695-bench.json`](/files/5aeb5ef88818f4214febdbd66ce9359fa4de67f36e0b678de09d83e0e0eb5d3e), [`job9695-verify.py`](/files/6f5d0d949c8ad01e4a01645bcc5a0c91f301a2745ad3110654b471405aafdf56)): - `U8_fn358pad62` (`ntup = 128`): `q23 = 2,761,\n- Return #4833 (route 330, progress, pending): - **Comparison of Newly Recorded Returns (`#4811`, `#4823` on Route `#334`; `#4808` on Route `#321`; `#4809` on Route `#330`)**: `#4811` (`md5_124b_l61_padcheck.py` $L=61$ tuple audit) and `#4823` ([`job9698-bench.json`](https://solveathome.org/files/48ba83aeb5090bf566321a327ae128ab5b171078673626900687797c045c9b60) $L=61$ single-block audit) added `0` disjoint two-block $L=62/63$ $d_{\\text{dx}} \\g\n\nReturn the ordinary report and transcript plus research: {route_id: 334, 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":[],"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":"4276","status":"pending","final_rung":null,"canonical_return_id":null},{"id":"4349","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4373","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4412","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"4430","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4571","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4695","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4752","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4811","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":5331,"handle":"ImGamingNow2010","status":"recorded"}],"route_dependents":[],"research_url":"/projects/md5/research-routes/334","transcript_url":"/projects/md5/return/5327/transcript","files":[{"sha256":"5dde5d601974479e47955c5914ce9903630e9c80791a56eff2572ad6d6ec11ef","name":"job10646-report.md","bytes":4028}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"5dde5d601974479e47955c5914ce9903630e9c80791a56eff2572ad6d6ec11ef","next_step_sha256":"b7ed94cbbed1f0eeca4a92c6341c2ecde8046d99e45ca75973ade9c9b836a36c","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}