{
  "schema_version": 1,
  "id": "evt-2025-aristotle",
  "slug": "aristotle-imo-level-formal-theorem-proving",
  "title": {
    "en": "Aristotle reports gold-equivalent formal performance on IMO 2025",
    "zh-CN": "Aristotle 报告在 IMO 2025 上达到形式证明金牌等效水平"
  },
  "dates": {
    "event": "2025-10-01",
    "first_public_claim": "2025-10-01",
    "paper_release": "2025-10-01",
    "artifact_release": null,
    "independently_verified": null,
    "added_to_chronicle": "2026-09-10",
    "last_updated": "2026-09-11"
  },
  "event_types": [
    "proof",
    "competition",
    "system"
  ],
  "significance": {
    "tier": "H2",
    "rationale": {
      "en": "Aristotle combined formal search, informal lemma generation and a geometry solver into an integrated system reported at IMO gold-equivalent performance.",
      "zh-CN": "Aristotle 将形式搜索、非形式引理生成与几何求解器整合，并报告达到 IMO 金牌等效水平。"
    }
  },
  "mathematical_novelty": {
    "type": "benchmark_result"
  },
  "interfaces": [
    "informal",
    "formal",
    "hybrid"
  ],
  "claim": {
    "en": "Aristotle reported gold-medal-equivalent performance on the 2025 IMO problems using Lean proof search, informal reasoning and a dedicated geometry solver.",
    "zh-CN": "Aristotle 报告通过 Lean 证明搜索、非形式推理与专用几何求解器，在 IMO 2025 题目上达到金牌等效表现。"
  },
  "summary": {
    "en": "The architecture generates and formalizes useful lemmas, searches formal proofs and handles geometry through a specialist component.",
    "zh-CN": "该架构生成并形式化有用引理、搜索形式证明，并通过专用组件处理几何。"
  },
  "why_it_matters": {
    "en": "It illustrated the emergence of integrated formal-math agents rather than single-model proof generators.",
    "zh-CN": "它体现了集成式形式数学 Agent 的出现，而不只是单模型证明生成器。"
  },
  "ai_role": {
    "level": "ai_primary_human_verified",
    "description": {
      "en": "The system coordinates informal reasoning, lemma formalization, proof search and geometry solving.",
      "zh-CN": "系统协调非形式推理、引理形式化、证明搜索与几何求解。"
    }
  },
  "human_contribution": {
    "description": {
      "en": "Researchers built the integrated architecture and verified formal outputs.",
      "zh-CN": "研究者构建集成架构并验证形式输出。"
    }
  },
  "systems": [
    "aristotle",
    "lean"
  ],
  "organizations": [
    "harmonic"
  ],
  "people": [],
  "problems": [
    "imo-2025"
  ],
  "methods": [
    "formal-proof-search",
    "lemma-generation",
    "geometry-solver"
  ],
  "verification": {
    "evidence_level": "E3",
    "status": "paper_released",
    "formal_assurance": "machine_checked",
    "history": [
      {
        "date": "2025-10-01",
        "status": "paper_released",
        "evidence_level": "E2",
        "note": {
          "en": "The Chronicle records this event from the cited primary or official source; the status does not imply independent Chronicle verification.",
          "zh-CN": "Chronicle 依据所引 primary / official source 记录该事件；该状态不表示 Chronicle 已完成独立验证。"
        }
      },
      {
        "date": "2026-09-11",
        "status": "paper_released",
        "evidence_level": "E3",
        "note": {
          "en": "This corpus refresh added a directly inspectable public artifact maintained by the authors or releasing organization. E3 records artifact-level inspectability and does not imply independent verification of the underlying scientific or mathematical claim.",
          "zh-CN": "本轮 corpus 刷新增补了由作者或发布机构维护、可直接检查的公开产物。E3 表示证据已达到可检查 artifact 层级，并不等同于底层科学或数学主张已获得独立验证。"
        }
      }
    ]
  },
  "sources": [
    {
      "id": "arxiv-aristotle-2510.01346",
      "tier": "S1",
      "type": "paper",
      "title": "Aristotle: IMO-level Automated Theorem Proving",
      "url": "https://arxiv.org/abs/2510.01346",
      "primary": true,
      "published_date": "2025-10-01",
      "accessed_at": "2026-09-10"
    },
    {
      "id": "github-harmonic-imo2025",
      "tier": "S1",
      "type": "formal_artifact",
      "title": "Harmonic Aristotle IMO 2025 Lean proofs",
      "url": "https://github.com/harmonic-ai/IMO2025",
      "primary": true,
      "published_date": null,
      "accessed_at": "2026-09-11"
    }
  ],
  "artifacts": [
    {
      "id": "aristotle-imo2025-lean",
      "kind": "proof",
      "title": "Aristotle Lean statements and proofs for IMO 2025 Problems 1–5",
      "url": "https://github.com/harmonic-ai/IMO2025"
    }
  ],
  "relationships": {
    "predecessors": [
      "evt-2025-seed-prover",
      "evt-2024-alphaproof-alphageometry2-imo"
    ],
    "successors": [],
    "related": []
  },
  "timeline": {
    "featured": true,
    "significance": "primary"
  },
  "tags": [
    "lean",
    "imo",
    "agent",
    "formal-proof"
  ],
  "editorial": {
    "created_at": "2026-09-10",
    "last_reviewed": "2026-09-11",
    "reviewers": [
      "Charlie-Wang-03"
    ]
  },
  "corrections": []
}