{ "schema": "diskcover-public-test-reports-v1", "n": 13, "report_scope": "Retrospective n=13 failed-run records, each based on its own evidence; publication does not rerun mathematics.", "records_comparable": false, "records": [ { "record_id": "n13-sol-20261001", "model": "gpt-6.1 sol/max", "model_id": "gpt-6.1-sol", "reasoning_effort": "max", "test_date_utc": "2026-10-01", "status": "not_completed", "runs": 1, "elapsed_seconds": "43200", "timing_scope": "Goal creation to the inclusive 12-hour deadline; elapsed_seconds is a deadline observation, not completion time", "main_natural_seconds_at_deadline": "43200", "natural_seconds_to_complete_delivery": null, "original_final_response_complete_timestamp_available": true, "observed_natural_seconds_at_cleanup_clock": "43277", "main_system_accumulated_seconds_at_blocked": "43514", "natural_seconds_at_blocked": "43513", "system_timing_endpoint": "goal_marked_blocked_after_failure_status_continuations", "natural_seconds_to_report_evidence_cutoff": "45316", "report_relative_evidence_cutoff": "T+12:35:16", "original_prompt_receipt_timestamp_available": false, "time_origin": "Original second-resolution Goal createdAt; message logged at T+00:00:02.918; independent network receipt not measured.", "additional_tasks": { "report_generation_elapsed_seconds": "1818.866", "report_generation_first_observed_clock_to_evidence_cutoff_seconds": "561", "report_generation_relative_observation_cutoff": "R+00:09:21", "observation_interval_is_not_full_task_duration": true, "report_included_in_main_solve_time": false, "intertask_gaps_included_in_report_duration": false, "report_generation_elapsed_scope": "Original report request to original report final response logging; includes reasoning, computation, waits and delivery.", "report_request_relative": "T+12:20:56.009", "report_first_response_relative": "T+12:51:14.875" }, "time_budget_seconds": 43200, "within_time_limit": true, "completed_within_time_limit": false, "score": 0, "score_scope": "failure_score_under_diskcover-log-score-v1", "strict_original_task_score": 0, "strict_original_task_acceptance": "failed_incomplete_at_deadline", "partial_credit_available": false, "formal_ranking": false, "completion_independently_verified": false, "answer_protocol": "diskcover-minpoly-v1", "score_protocol": "diskcover-log-score-v1", "reference_seconds": "21600", "reference_seconds_scope": "retrospective invocation using the common v1 example scale; no n=13 opening reference-time contract recorded; failure score independent of this parameter", "benchmark_commit_for_post_hoc_validation": "b6cde6540abcf4dfc54a77979e5a7517d3f971cb", "benchmark_commit_at_original_start": null, "answer_check": { "reference_status": "not_published", "reference_sha256": null, "submitted_answer_sha256": null, "matches_reference": null, "executed": false, "reason": "No complete radius minimal polynomial supplied; n=13 reference fingerprint not published." }, "mathematics": { "submission": "failure_notice_no_complete_mathematical_delivery", "radius_minimal_polynomial_all_coefficients_submitted": false, "actual_radius_polynomial_irreducibility_proved": false, "radius_polynomial_rational_root_isolation_submitted": false, "historical_partial_exact_certificate_checks_executed": true, "whole_disk_coverage_replay_reported": true, "exhaustive_orbit_and_partition_checks_reported": true, "full_proof_and_complete_computation_package_submitted": false, "geometry_replayed_again_in_this_report_task": false, "independent_external_proof_review": false }, "provenance": { "used_existing_public_construction_and_solver_certificates": true, "public_solver_url": "https://github.com/VonEquinox/DiskCoveringSolve/tree/a304d38e5c885f050ebf14d6b5e61406d7e832ad/cover13", "public_solver_commit": "a304d38e5c885f050ebf14d6b5e61406d7e832ad", "from_scratch_independent_discovery": false, "new_work_scope": "Read and audit public geometric reduction; execute exact partial checks; derive reduced chart; certify high-precision root data; unsuccessful elimination and integer-relation searches.", "source_first_retrieval_relative_time": "T+00:14:10.494", "source_first_retrieval_timing_note": "First direct repository output reception; search-result discovery occurred earlier. Full proof text returned at T+00:15:20.590." }, "hardware": { "measurement_scope": "current_host_at_report_preparation_not_task_start_snapshot", "cpu": "AMD Ryzen 9 8945HX with Radeon Graphics", "physical_memory_bytes": 34359738368, "physical_memory_gib": 32, "memory_generation": "DDR5", "smbios_memory_type": 34 }, "software": { "os": "Windows host with local Ubuntu WSL2", "report_preparation_current_python": "3.12.3", "report_preparation_current_kernel": "6.6.87.2-microsoft-standard-WSL2", "original_python_version_recorded": null, "preinstalled_professional_packages_inventory": "not inspected", "installed_sympy_numpy_scipy_used_for_core_computation": false, "exact_core": "memory-only newly authored Python with built-in integer arithmetic and custom rational/interval code", "temporary_public_tools": [ { "name": "flatter", "package": "flatn", "version": null, "purpose": "heuristic integer-relation lattice reduction", "execution_location": "local WSL anonymous memory", "package_version": "0.3.5", "source": "https://files.pythonhosted.org/packages/b0/c5/d0a76fc673f0b1e02a23322350a61e8ee09e5daf2022bd3fc6da729b46cd/flatn-0.3.5-py3-none-manylinux1_x86_64.whl", "sha256": "61c1da06a51342d3e42fa83185b7459be2a885c696d377acecd70a1a5f9ad380" }, { "name": "msolve", "version": "0.10.1", "purpose": "attempted polynomial-system elimination", "execution_location": "local WSL anonymous memory", "actual_radius_polynomial_produced": false, "source": "https://msolve.proj.lip6.fr/downloads/v0.10.1/msolve-0.10.1_linux_intel_x86.zip", "sha256": "b2ee3fdd3b84129b48c31a900bcd2a6e47bd39577fa12843798747743f074cfb" }, { "name": "SageMath", "version": "10.9", "purpose": "exact symbolic identity and certificate-method checks on public SageCell", "execution_location": "public remote SageCell", "remote_cpu": null, "remote_memory_bytes": null, "source": "https://sagecell.sagemath.org/" }, { "name": "Wolfram app evaluator", "version": null, "purpose": "Initial 38-variable numerical solution and elimination attempts", "execution_location": "Network connector; actual kernel host unrecorded", "numerical_output_counts_as_proof": false } ] }, "resources": { "money_budget": null, "money_spent": null, "money_evidence": "not recorded; cannot infer zero monetary cost", "goal_token_counter": 3887192, "goal_token_counter_definition": { "label_zh": "Codex Goal 累计计数", "label_en": "Codex Goal cumulative counter", "owner": "Codex Goal", "industry_standard_metric": false, "verified_reference_implementation": "Codex 0.159.2", "reference_formula": "input_tokens - cached_input_tokens + output_tokens", "reasoning_tokens": "included in output_tokens; do not add again", "scope": "Goal-accounted usage increments; not whole-chat total, billed tokens or monetary cost", "version_note": "Historical versions follow their own implementation.", "reference_source_url": "https://github.com/openai/codex/blob/rust-v0.159.2/codex-rs/ext/goal/src/accounting.rs#L527-L532" }, "billed_tokens": null, "time_budget_seconds": 43200 }, "subagents_used_in_original_solve": false, "subagents_used_in_report": false, "resource_rules": { "original_rule": "No local research materials, skills, other chats or archived chats; public web and local WSL tools permitted.", "original_core_data_handling": "Public data and newly authored programs transferred in memory; no stored mathematical data intentionally read.", "report_data_sources": "Public repository, this run's artifacts, Goal metadata, hardware queries and explicitly authorized current-thread records.", "full_os_level_file_access_trace_available": false, "explicit_prohibited_research_material_access_known": false, "report_file_writes_scope": "New report deliverables under outputs; not original mathematical proof completion.", "report_revision_metadata_access": "User authorized complete current-thread traversal to reconstruct times; no other chats or skills read; raw transcript not published." }, "prompt_artifacts": [ { "kind": "main_user_input", "original_text_url": "reports/n13-sol-main-prompt.original.txt", "source": "Exact original /goal instruction retained in this task's generated report artifacts.", "sha256": "b4e6cc88c5684d8729a96aa99c3f4b4f11fb02810d6cf699fdf10e6a1212e78e" } ], "score_execution": { "source_file": "score.py", "source_commit": "b6cde6540abcf4dfc54a77979e5a7517d3f971cb", "output_file": "results/n13-sol-score-output.json", "status_argument": "not_completed", "elapsed_seconds_argument": "43200", "elapsed_argument_meaning": "deadline cutoff", "exit_code": 0, "execution_location": "public SageCell", "independently_certifies_mathematics": false }, "report_urls": { "zh": "record-n13-sol-20261001.zh.html", "en": "record-n13-sol-20261001.html" }, "limitations": [ "No complete radius minimal polynomial, irreducibility certificate or required polynomial root isolation.", "No complete original proof package delivered.", "No n=13 published reference fingerprint.", "No externally independent mathematical review.", "A single unsuccessful run; no success-rate inference.", "Partial calculations and heuristic search outputs do not establish full completion.", "Initial hardware snapshot, exact prompt-receipt timestamp and monetary cost are not recorded." ], "answer_disclosure": "no_radius_coefficients_or_center_coordinates; report and partial-check summaries only", "model_identity_status": "verified_original_solver_turn_context", "model_identity_evidence": { "kind": "original_solver_turn_context", "goal_interval_context_count": 7, "distinct_configurations": 1, "model": "gpt-6.1-sol", "effort": "max", "collaboration_settings_model": "gpt-6.1-sol", "collaboration_settings_reasoning_effort": "max", "scope": "Original Goal configuration records from this thread; read after the user's explicit metadata request. No other chats or message bodies published.", "independent_server_model_authentication": false }, "publication": { "authorized_by_user": true, "report_format_reference": "record-n11-astra-20260930.html", "score_unchanged": 0, "mathematical_search_or_proof_replay_for_publication": false, "other_existing_n13_record_preserved": true }, "within_time_limit_scope": "The recorded 43200-second observation window fits the budget; it does not signify valid completion.", "valid_result_within_original_time_budget": false, "source_report": { "filename": "record-n13-sol-20261001.zh.md", "sha256": "c248a46d3d3fefdc1698af78b1e0d89d041b87df1c1474b7eb7ddff02f38a708", "original_local_report_sha256": "f96c3461f2f3dce8079699947745b6de816a63d7aa85abbbfa0b123d8540ee4a", "public_version": "bilingual_astra_structure_with_complete_thread_timing_reconstruction", "full_proof_archive_public": false }, "published_artifacts": { "zh": "record-n13-sol-20261001.zh.html", "en": "record-n13-sol-20261001.html", "record": "record-n13-sol-20261001.json", "original_prompt": "reports/n13-sol-main-prompt.original.txt", "score_output": "https://github.com/pikaaa345/disk-covering-benchmark/blob/main/results/n13-sol-score-output.json", "timing_reconstruction": "https://github.com/pikaaa345/disk-covering-benchmark/blob/main/results/n13-sol-timing.json" }, "deliverables": [ "record-n13-sol-20261001.zh.md", "record-n13-sol-20261001.en.md", "record-n13-sol-20261001.json", "reports/n13-sol-main-prompt.original.txt", "results/n13-sol-score-output.json", "results/n13-sol-timing.json" ], "original_final_response_timestamp_scope": "Failure-response thread-write timestamp; UI rendering completion not independently measured.", "original_failure_response_log_relative_seconds": "43364.205", "original_failure_response_log_relative": "T+12:02:44.205", "original_user_instruction_log_timestamp_available": true, "original_user_instruction_log_relative_seconds": "2.918", "timing_reconstruction": { "artifact": "https://github.com/pikaaa345/disk-covering-benchmark/blob/main/results/n13-sol-timing.json", "sha256": "8713e26377fba5d0ae077df8992b0354a0f054f5bbde17b47f5614ad2132e680", "source": "Authorized complete current-thread traversal", "interval_semantics": "Dispatch to output reception, or asynchronous submission to later output observation; includes network, orchestration, waits and gaps, not isolated CPU time. Actual completion precedes or equals output reception. Intervals can overlap and must not be added.", "milestones": [ { "evidence_id": "repository", "description_zh": "读取外部证明仓库", "description_en": "Read external proof repository", "start_relative_seconds": "843.244", "output_observed_relative_seconds": "850.494", "start_relative": "T+00:14:03.244", "output_observed_relative": "T+00:14:10.494", "observed_span_seconds": "7.25", "observed_span": "00:00:07.250", "timing_kind": "single_tool_call", "retained_output_label": "DiskCoveringSolve", "program_reported_seconds": null }, { "evidence_id": "proof_text", "description_zh": "读取cover13证明正文及相关材料", "description_en": "Read cover13 proof text and materials", "start_relative_seconds": "907.426", "output_observed_relative_seconds": "920.59", "start_relative": "T+00:15:07.426", "output_observed_relative": "T+00:15:20.590", "observed_span_seconds": "13.164", "observed_span": "00:00:13.164", "timing_kind": "single_tool_call", "retained_output_label": "cover13_proof_zh.md", "program_reported_seconds": null }, { "evidence_id": "root119", "description_zh": "119变量根：119行整数收缩检查完成", "description_en": "119-variable root: all 119 integer contraction rows checked", "start_relative_seconds": "1885.737", "output_observed_relative_seconds": "1903.012", "start_relative": "T+00:31:25.737", "output_observed_relative": "T+00:31:43.012", "observed_span_seconds": "17.275", "observed_span": "00:00:17.275", "timing_kind": "single_tool_call", "retained_output_label": "Exact integer contraction checks completed for all 119 rows.", "program_reported_seconds": null }, { "evidence_id": "coverage_isolation", "description_zh": "34三角面、10圆弧及62阶局部隔离检查", "description_en": "34 triangular faces, 10 arcs and 62-dimensional local isolation", "start_relative_seconds": "2988.757", "output_observed_relative_seconds": "3000.134", "start_relative": "T+00:49:48.757", "output_observed_relative": "T+00:50:00.134", "observed_span_seconds": "11.377", "observed_span": "00:00:11.377", "timing_kind": "single_tool_call", "retained_output_label": "UPPER: root equations plus all 34 straight triangles and 10 boundary arcs certified.", "program_reported_seconds": null }, { "evidence_id": "candidate", "description_zh": "候选分支：1831节点，837个DUAL叶、79个LOCAL叶", "description_en": "Candidate tree: 1831 nodes, 837 DUAL and 79 LOCAL leaves", "start_relative_seconds": "3337.547", "output_observed_relative_seconds": "3350.498", "start_relative": "T+00:55:37.547", "output_observed_relative": "T+00:55:50.498", "observed_span_seconds": "12.951", "observed_span": "00:00:12.951", "timing_kind": "single_tool_call", "retained_output_label": "CANDIDATE TREE COMPLETE: 1831 nodes;", "program_reported_seconds": null }, { "evidence_id": "noncandidate", "description_zh": "1760非候选案例：2908节点，2334个DUAL叶", "description_en": "1760 noncandidate cases: 2908 nodes and 2334 DUAL leaves", "start_relative_seconds": "3417.688", "output_observed_relative_seconds": "3436.808", "start_relative": "T+00:56:57.688", "output_observed_relative": "T+00:57:16.808", "observed_span_seconds": "19.12", "observed_span": "00:00:19.120", "timing_kind": "single_tool_call", "retained_output_label": "NONCANDIDATE FOREST COMPLETE: 1760 cases; 2908 nodes;", "program_reported_seconds": null }, { "evidence_id": "enumeration", "description_zh": "修正首轮键名检查后重放：308198轨道及1761残余案例接口完成", "description_en": "Replay after first-attempt key-check correction: 308198 orbits and 1761 residual-case interfaces", "start_relative_seconds": "3691.316", "output_observed_relative_seconds": "3836.058", "start_relative": "T+01:01:31.316", "output_observed_relative": "T+01:03:56.058", "observed_span_seconds": "144.742", "observed_span": "00:02:24.742", "timing_kind": "submission_to_result_observation_envelope", "retained_output_label": "ALL ENUMERATION AND PARTITION INTERFACES CERTIFIED: 308198 orbits; 1761 residuals", "program_reported_seconds": null }, { "evidence_id": "numeric38", "description_zh": "Wolfram连接器：17约束、38方程初始数值解；数值一致不作为证明", "description_en": "Wolfram connector: initial numerical solution, 17 constraints and 38 equations; not proof", "start_relative_seconds": "3755.521", "output_observed_relative_seconds": "3762.749", "start_relative": "T+01:02:35.521", "output_observed_relative": "T+01:02:42.749", "observed_span_seconds": "7.228", "observed_span": "00:00:07.228", "timing_kind": "single_tool_call", "retained_output_label": "Out[1]= {17, 38", "program_reported_seconds": null }, { "evidence_id": "reflection", "description_zh": "修正辅助点重排后：119变量反射像严格位于原根盒", "description_en": "After auxiliary-point permutation correction: 119 reflected variables strictly inside original root box", "start_relative_seconds": "5081.998", "output_observed_relative_seconds": "5099.93", "start_relative": "T+01:24:41.998", "output_observed_relative": "T+01:24:59.930", "observed_span_seconds": "17.932", "observed_span": "00:00:17.932", "timing_kind": "single_tool_call", "retained_output_label": "REFLECTION CERTIFIED: all 119 transformed variables lie strictly in the original root box.", "program_reported_seconds": null }, { "evidence_id": "gradients17", "description_zh": "17个约束梯度独立及相关乘子非零检查", "description_en": "17 independent constraint gradients and nonzero related multipliers", "start_relative_seconds": "6765.811", "output_observed_relative_seconds": "6787.716", "start_relative": "T+01:52:45.811", "output_observed_relative": "T+01:53:07.716", "observed_span_seconds": "21.905", "observed_span": "00:00:21.905", "timing_kind": "single_tool_call", "retained_output_label": "REDUCED CHART: 17 independent constraint gradients certified.", "program_reported_seconds": null }, { "evidence_id": "precision60000", "description_zh": "60000位半径平方下取整、收缩与自映射严格检查输出", "description_en": "Strict squared-radius 60000-digit floor, contraction and self-map output", "start_relative_seconds": "20677.421", "output_observed_relative_seconds": "21112.261", "start_relative": "T+05:44:37.421", "output_observed_relative": "T+05:51:52.261", "observed_span_seconds": "434.84", "observed_span": "00:07:14.840", "timing_kind": "submission_to_result_observation_envelope", "retained_output_label": "EXACT_CERT_RADIUS_SQUARED_SAME_60000_DECIMAL_FLOOR", "program_reported_seconds": null }, { "evidence_id": "precision330000", "description_zh": "首次读取到330000位半径平方下取整严格检查输出", "description_en": "First observed strict 330000-digit squared-radius floor output", "start_relative_seconds": null, "output_observed_relative_seconds": "29093.218", "start_relative": null, "output_observed_relative": "T+08:04:53.218", "observed_span_seconds": null, "observed_span": null, "timing_kind": "first_observed_output_only", "retained_output_label": "EXACT_CERT_RADIUS_SQUARED_DECIMAL_FLOOR_DIGITS 330000", "program_reported_seconds": null }, { "evidence_id": "search_t512", "description_zh": "半径平方t、次数界512、300000位搜索失败；程序自报2616.76秒", "description_en": "Failed t search, degree bound 512, 300000 digits; program-reported 2616.76 s", "start_relative_seconds": "35222.551", "output_observed_relative_seconds": "37918.797", "start_relative": "T+09:47:02.551", "output_observed_relative": "T+10:31:58.797", "observed_span_seconds": "2696.246", "observed_span": "00:44:56.246", "timing_kind": "submission_to_result_observation_envelope", "retained_output_label": "2616.76", "program_reported_seconds": "2616.76" }, { "evidence_id": "identities38", "description_zh": "公开SageCell：38个规范化符号恒等式精确为零", "description_en": "Public SageCell: all 38 normalized symbolic identities exactly zero", "start_relative_seconds": "35510.671", "output_observed_relative_seconds": "35534.222", "start_relative": "T+09:51:50.671", "output_observed_relative": "T+09:52:14.222", "observed_span_seconds": "23.551", "observed_span": "00:00:23.551", "timing_kind": "single_tool_call", "retained_output_label": "ALL_38_NORMALIZED_IDENTITIES_EXACT_ZERO", "program_reported_seconds": null }, { "evidence_id": "search_d512", "description_zh": "归一化偏移参数d、次数界512、220000位搜索失败；程序自报2050.15秒", "description_en": "Failed d search, degree bound 512, 220000 digits; program-reported 2050.15 s", "start_relative_seconds": "38435.187", "output_observed_relative_seconds": "40520.586", "start_relative": "T+10:40:35.187", "output_observed_relative": "T+11:15:20.586", "observed_span_seconds": "2085.399", "observed_span": "00:34:45.399", "timing_kind": "submission_to_result_observation_envelope", "retained_output_label": "2050.15", "program_reported_seconds": "2050.15" }, { "evidence_id": "precision580000", "description_zh": "580000位半径平方下取整、HIGH及LINK_BOX收缩与自映射严格检查输出", "description_en": "Strict 580000-digit squared-radius floor and HIGH/LINK_BOX contraction and self-map output", "start_relative_seconds": "39152.894", "output_observed_relative_seconds": "40306.734", "start_relative": "T+10:52:32.894", "output_observed_relative": "T+11:11:46.734", "observed_span_seconds": "1153.84", "observed_span": "00:19:13.840", "timing_kind": "submission_to_result_observation_envelope", "retained_output_label": "EXACT_CERT_RADIUS_SQUARED_DECIMAL_FLOOR_DIGITS 580000", "program_reported_seconds": null } ], "original_failure_response_relative": "T+12:02:44.205", "original_report_request_to_response_seconds": "1818.866", "mathematical_checks_reexecuted": false }, "precision_certification_evidence": { "squared_radius_decimal_floor_digits": 580000, "retained_actual_tool_output": true, "first_output_observed_relative": "T+11:11:46.734", "complete_certificate_package_delivered": false, "mathematical_replay_during_reconstruction": false } } ] }