{ "schema": "diskcover-public-test-reports-v1", "n": 11, "report_scope": "Historical source-based reports and an independently reviewed failed DeepSeek submission; mathematical answer data withheld. Existing global proofs were not rerun; the DeepSeek exact counterexample was replayed.", "records_comparable": false, "records": [ { "record_id": "n11-deepseek-v4-pro-max-20261002", "n": 11, "model": "deepseek-v4-pro/max", "model_id": "deepseek-v4-pro", "reasoning_effort": "max", "provider_recorded": "deepseek-official", "test_date_utc": "2026-10-02", "status": "failed_incorrect_proof", "score": "0", "elapsed_seconds": "39447.149", "main_system_accumulated_seconds": null, "timing_scope": "first_goal_create_to_final_substantive_assistant_message_includes_interruption_intervals", "original_budget_seconds": "43200", "submission_within_budget": true, "valid_completion_within_budget": false, "session_id": "session-6badb200-1360-4d95-a357-d9f54be3a468", "source_session_sha256": "4dfa921440e6b9d4a219b80b63fd514609c1661163e5d82cd424a9b445c4744d", "source_event_seqs": { "start": 12, "goal_mark_complete": 2514, "final_submission": 2522, "final_turn_end": 2525 }, "turn_interval_sum_seconds": "37027.526", "turn_interval_sum_is_system_accumulated_time": false, "token_usage": { "inputTokens": 983404, "outputTokens": 567001, "cacheReadTokens": 161620608, "cacheWriteTokens": 0, "totalTokens": 163171013, "usage_record_count": 373, "currency_cost": null, "scope": "saved_assistant_message_usage; not complete invoiced usage" }, "hardware": { "cpu": "AMD Ryzen 9 8945HX with Radeon Graphics", "memory_generation": "DDR5", "memory_gib": 32, "memory_bytes": 34359738368, "snapshot_scope": "queried_during_report_preparation_not_at_task_start" }, "environment": { "python": "3.12.3", "numpy": "2.5.3", "scipy": "1.18.1", "sympy": "1.14.0", "mpmath": "1.3.0", "pari_gp": "2.15.4", "fplll_tools": null, "versions_source": "actual_test_tool_output", "package_preinstallation_status": "not_fully_known" }, "phases": [ { "start_relative_seconds": "0", "end_relative_seconds": "1673", "activity_zh": "资料检索、图片重建与环境准备", "activity_en": "Sources, image reconstruction and environment setup", "outcome_zh": "查阅构型目录、Handbook 和 Fejes Tóth 论文，未取得适用于 n=11 的完整全局证明。", "outcome_en": "Read the configuration collection, Handbook and Fejes Tóth paper; obtain no applicable complete global proof for n=11." }, { "start_relative_seconds": "1673", "end_relative_seconds": "3310", "activity_zh": "优化与高精度接触方程", "activity_en": "Optimization and high-precision contact equations", "outcome_zh": "首个局部结果较差；改善图片初值，修正半径评估器，得到更好的数值候选。", "outcome_en": "Improve image-derived starting data after a poor local result, correct the radius evaluator, and obtain a better numerical candidate." }, { "start_relative_seconds": "3310", "end_relative_seconds": "9984", "activity_zh": "覆盖程序与类型分析", "activity_en": "Coverage programs and type analysis", "outcome_zh": "覆盖程序输出通过，对内圆数与 边界圆盘连续分组作局部数值分析；尚无严格全局下界。", "outcome_en": "Coverage programs report success; local numerical searches examine interior counts and consecutive groups of boundary disks, without certified global lower bounds." }, { "start_relative_seconds": "9984", "end_relative_seconds": "35130", "activity_zh": "整数关系搜索及反复重算", "activity_en": "Relation searches and repeated recomputation", "outcome_zh": "多次提高精度、尝试 PSLQ 与 PARI/GP，否定多个伪关系；放弃退化的 Krawczyk 路线；首份交付承认缺最小多项式。", "outcome_en": "Raise precision, try PSLQ and PARI/GP, reject several spurious relations, abandon a degenerate Krawczyk route, and acknowledge the missing minimal polynomial in the first delivery." }, { "start_relative_seconds": "35130", "end_relative_seconds": "37822", "activity_zh": "fplll 与后续核验", "activity_en": "fplll and subsequent checks", "outcome_zh": "加入非对称类型局部搜索；找到八次大系数关系，修正系数顺序后因子分解与 Sturm 输出通过；未建立其根等于最优半径。", "outcome_en": "Add asymmetric local searches, find a degree-eight large-coefficient relation, and obtain passing factorization/Sturm outputs after correcting coefficient order; no exact connection to the optimum is proved." }, { "start_relative_seconds": "37822", "end_relative_seconds": "39447.149", "activity_zh": "圆心代数数据与最终交付", "activity_en": "Algebraic centers and final delivery", "outcome_zh": "生成圆心多项式，修复缺失 sqrt 和精度设置错误，自称完成。事后严格审核发现提交构型漏覆盖。", "outcome_en": "Generate coordinate polynomials, fix a missing sqrt import and a precision setting, and claim completion. Subsequent exact review refutes coverage." } ], "mathematical_review": { "accepted": false, "submitted_coverage_refuted": true, "true_optimal_radius_refuted": false, "answer_data_public": false, "review_sha256": "492d601cc2d9969a9aecde1e0c0dd60ee49a0ee3c9e9e19f6d5a5102430ee251", "failure_reasons": [ "exact_uncovered_point", "incomplete_finite_reduction", "unproved_classification_and_local_minimum_used_as_lower_bound" ] }, "prompt_artifacts": [ { "kind": "goal_objective", "original_text_url": "reports/n11-deepseek-main-prompt.original.txt", "sha256": "2baffa2d41229eab1d48003c64f53975c0696961a6236219373a7090bb7ff892" } ], "report_urls": { "zh": "record-n11-deepseek-v4-pro-max-20261002.zh.html", "en": "record-n11-deepseek-v4-pro-max-20261002.html" }, "resource_compliance_audit": "not_complete; mathematical_failure_decisive", "score_scope": "benchmark_failure_score", "acceptance_status": "failed_incorrect_proof_exact_coverage_counterexample", "source_report": { "filename": "solution.md", "sha256": "5ab2821e885697598ff2b869ee68d53e59f8c4d51845cf4cf358a19fb125e86b", "public_version": "independent_answer_withheld_review" } } ] }