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green_19.upper

Specification

[Ma21] showed that $C \leq 4$.

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Lean 4 Statement
theorem green_19.upper : C <= 4
ID: GreensOpenProblems__19__green_19.upper
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Evaluation Results

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Model Status Goals Left Submitted Lean Snippet Output
GPT-5.3 Codex Agent v8 Failed -- Feb 26, 2026
have h : ValidExponent 4 := ?_ unfold C refine csInf_le ?_ ?_ · exact ?_ · simpa using h
View
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    "duration_s": 924.75,
    "best_status": "failed",
    "best_goals": null,
    "max_iterations": 10,
    "model": "openai/gpt-5.3-codex",
    "error": null,
    "provider": "openrouter_primary",
    "finish_reason": "stop",
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    "reasoning_effort": "high",
    "response_trace_count": 29
  },
  "response_trace": [
    {
      "iteration": 0,
      "event": "search_mathlib",
      "query": "csInf_le",
      "results_count": 1
    },
    {
      "iteration": 1,
      "provider": "openrouter_primary",
      "finish_reason": "tool_calls",
      "response_id": "gen-1772076576-Q0cAVuffzDEpPRBX9iRM",
      "api_elapsed_s": 10.806,
      "usage": {
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        "total_tokens": 3336,
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        "cost_usd": 0.0079555
      },
      "openrouter_retries": 0,
      "response_text_len": 0,
      "used_tool_call": true,
      "reasoning_text": "**Exploring existing theorem usage**",
      "reasoning_details": [
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          "index": 0,
          "type": "reasoning.summary",
          "summary": "**Exploring existing theorem usage**"
        },
        {
          "id": "rs_0603608c34d2e47601699fbe21455c819388b6d171797e1f96",
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.encrypted",
          "data": "gAAAAABpn74rHyzyVVDuMHBpdILHkZa0ov-sfNx9sdx_naqHl8_nEF9PUCqSOjbfQXp5X-3QuYoW0jNOeyjGgR37Onwpu6yOTG3FheLQfewBbUs3ALP0HOnXHYvwV8YoEKlaV0iH5LbCzfti_Gv-qopK6F-mTqZOLoSV8Nylt41zUNWUDt4TSmcDO3VS9nUYacRvdH97WC7PpGGr5Blp_YIfKQocUfB8_ZjsAKd8MXP_odLj_tKaGw6V5BFplqMSPGbKS-YRo_LoYKkufaslG-OK1WEouIF7JqNa_vjTrM4rM19s9EURnU3Sm_eb1j9DJQw_CsBjZvAPXx-ABT_tgO2PavTDkn__1ge3F8LBhNLbONqY9M-Qfy9Wh4lR0VK_vEG9OcB0eJ6CzIDYQqN2PSpEGgXjK6ZklbAwT7GdFKYru8ix6CpeK8B3fplHfNz-fYAUkTzWGd0EH1KdLLJS7Ghhl54IAV4hZrOMU6o_RCQVRgeFjJCdYsK3ONATgCEb3RtkL86d7IiyeunFpMEvzqBOsP_qU72s1yZ0H5l63Cz2GAKVgWkWLpPEZc722MOJPtiSv3URpyw8IbRmOyQvtbYPFSZILU9AJhanFxtxPmZ7owaR5Bh2KLvazQ6Q9w9g_i7NgJTcwDtS7xYzvMyyZgCm86DiD6vLI4oEQud2Wns40Z9wupSZIkKfxh5zmcR6Oa3LqVgQsCrGz3q1hYd2Fapwq65Xe7jEaTaQ4E5JNJcAz4WAcwzRNr7mbRYUcNhdBQDLlP0e-h4P2PWPok61htYFxcWYRNDUbFrGcXExG1zi7hVjqXHLSX9GkVgjXhSWjJ1PhLDWCef3zHZUl9Gbu657yvfIHjiTFpkuB7Uf8jllhWA-Yi4HTGRB_8Qj7uv_ZseeyYgXK1NdkxoJF_uhJxdZwOO4eTWKnIGzPdOTethjrYiE8jlMeW9dCzwKxDNXazas2wGjRgwVe4cQ2w7mzXNZtIUWP88Qjf22ew29GUjnxKQlD6iZ8nKUFLcgw8eV9QAoNXx46DUvTfn59KuMYM99CYzgdClnyIfTgFvTwvzajI0e2rplC0dbPmaXx30YJci32hcSI5Sb27s-wnKjEwyNwlEc2I8oYJmU7MRKB6KDmYhBgtJGhOHJ_MuthHmum5hm9WwHwjbZuPpKeUb9ASWmh_5H1hXXGhsFlf6rWRINYVEZxN8JBkF6UCVg_5ChI8gmNaCW8mRd9eMItrFDirTSPZisvIyg9W7aUCsYxiWon0yjyjSvMwkSEwvz86pHhpT6l_8mKnqLueuk0K2uSu8tr4lr3y08L3WLePm6AGPK8qELVbKh0xmiDrIaRK_RZQV3FT0AujMMEamJE31JRLbIMXDpAXLm6LWBwrWU-mxBoSDg_7v6L89Y5vSbrxi2TOj71jQy4N1MMgWWrifeJf464gRHxY-cILZ8r9TPGD4d_rn2H_qH_DHNcU7NSfAWOBzGkRN-FtSyFLTpoWf6lZjXeR-zRaGvvAtoNepykN4PZ_3i7f8plD0d0nBOJMpIfnfVjU8_K3E0hm-SQDpGY5mELK8X4Z5zZnPm1P2PaBLj_DhhDCD7d1pzHbUFifh8cftXz3Hq6suMYrQ4nPViuXMPiPkPuk3aZyX81JnWyxkF2P_nGubvs_M1hMoSZWrf_E78xn4aaLHVNazenTdkCmZ_rGwwrPaIt4Z63zC2LSHNvpsWv0uUwZugpXO_J5mqG2v_mtZMRVYmgjGzegMJGXd5Zr6Zh14A1XPhoJDZmCOHfH3FgAz1qA1EHUB5Bgry-Hjfy6RiKWJFrTSBmVYpFa8SIaF5AV_-DeOqtm1LkDtveQkKUJSg7bIwxIr3wCTiii5l7Ltqt6jt4vBouz1PPZnByIn4HqsoGbQ7S19Su7MnR0LgxzxCMkvOCN6_-OTAWwjb-sURJnKkBGbsLd6GhrdFND2v514bTcCkZzWLypx04Y22qt8AM-PVh--QVqUV4EfvaDA2-Wj-pGiKzTT7NBymu7bbTnUpdKjkleSeroBicqIjJA3fwDYTYa3wyDOms1Yvgnfqe4A_IOZS0_GzAfVB0DHix7sSdAx7AnSaTXXRmXTRUb3xXH_fgTXfQeBVjVI_8ZU4-3eQlJgBKJ_q-vBvOx2ERYiqbp_pG8rwH0u5GaPY3A0l4dglt2B-dKRLykAkv53ggCJfnUG6ceBwYXpW8WLEmA3CjULoAArMaeddYE4lpq2g3CSsKWZUNQ4aX1hu7r57Z3S8C1Ry--_5E5HoiElqE_Fb8Jhgp5efhPspHwB2VsW0amg-tILvQpUBhk8X41xzRTe7SpMVRcpOCi4_3y_haKY_K1lpI6k1nqcA5uPWfNROX7D0DXNz6gjGstP5lJ5iOpnsIB_k2chfqQZRq6nNrtjwp54BapI50q9wBiN0hJz7qyq_YoiZ7a2o_OiJufU3H9VxlQarCZLHwB-egMkrcRAxAEP5wDM1P6SBi2zsq8YmKxvcS5tKsbjYoYAT9KGUjV49wZ0OEv2itKGXqDU6t7c5PJaSGtp1PWe9623KPtR8JkXLPF6b7PcF-mhAz9JCvlX-FicO2PMbPFJ8jQgGuSjaDl-7-4BlCjjM20uvzDPqrI0WmcyKyMaytAVRFF4Bdpr8-gKjsDpaoi-p1XXT-SaTQ2CkZwD3qVPnACvKTveLWb-PN4hORMjK3PKrL7RFBg4nW8gxrU-k4XADT3r5oqola11p4FXzhWzxYW9q0OWn4KcMKzjHyP6SCcqfZWXD6XIbpxZYFf4nMUFvEIC59n_-IQEi4j-8i432PqmUAR9tSEtbwpRrlcjjrZ0ywH8nBaDxzyorZFHyyftof2-u_WdrpJRXUo-PgD_t3lrVOw8y-nXSMKQ0qbQvSy2u1kQHvLk3hMlTOKJ3_PzNfqm_YBsGbrId8XKgUl_w6XMbA5k9d-KaLIFT__2mrUSXcAUzwcWyTmNvF7SaCKw2Kz2eDzjCN0JtjqVlW_C-nLxhOJkIith5hX24n2Xm8J5kam6p82PlAwEvqd5K63BuJm6WsNIeA0S-hDt5ZThjKYvS63qFb6jv-tEUbytu0LS1Crn_AuR7dV9W58UNZFDrSXtfVOFOFkGHBccnt6mAKS5z7nA1IFEVdPd1nTD_Ph2J44aR9lPDuGBsvEOfsTkXYoskHZ_K0OrXmjz8ca0gGTa_sXIuIX5BDtOUrAJTlbq4icxVa4Nn2myjSA6FTqXfpfYVDR5SbyAUM05DYaYvze9e-ahjn7jUUfGZ_1LclBXtoB1ClScFa14JniIa7Oumo9xkMhQmPc9ay6_toesHheiRVkIu1X95tFifzz-TX6ZqUpW2LLtMwb5CoE6B4NgmLFouxMngorScwdry-1mOLDGFOxxQhgeyQGRVELBz3OVopHB8-nxhKAMVJ9Htu7AkZCS_2uLaVuR-seNUjbE4IbJVis4iQDdQZgDBxj3BLNdEr270fgzk9NPX73lrDdZ_AHcyfpub3m0UzI7ciRgKM5ryFkTkn4Y_EF7d_utw5MBR6SpPjEHTc9OglcFmpPF2ghHE7Na-Xxlk7ntOEemj4fZJu0WsXs3Om9xBr4A4AIkLaLNREWisjSkv3BD0ool2QNETc_8Lzw=="
        }
      ]
    },
    {
      "iteration": 1,
      "event": "compile_proof",
      "provider": "openrouter_primary",
      "status": "failed",
      "goals_remaining": null,
      "timed_out": false,
      "banned_tokens": [],
      "proof_code": "have h : ValidExponent 4 := ?_\nunfold C\nrefine csInf_le ?_ ?_\n\u00b7 exact ?_\n\u00b7 simpa using h",
      "compiler_output_preview": "\ninfo: mathlib: URL has changed; deleting '/app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib' and cloning again\nerror: permission denied (error code: 13)\n  file: /app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib/README.md\n\n",
      "compile_elapsed_s": 15.228
    },
    {
      "iteration": 2,
      "provider": "openrouter_primary",
      "finish_reason": "tool_calls",
      "response_id": "gen-1772076602-fKoQlfDMt0KsC2wKgvb2",
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        "cost_usd": 0.01982225
      },
      "openrouter_retries": 0,
      "response_text_len": 0,
      "used_tool_call": true,
      "reasoning_text": "**Evaluating prior theorem dependency**",
      "reasoning_details": [
        {
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.summary",
          "summary": "**Evaluating prior theorem dependency**"
        },
        {
          "id": "rs_0603608c34d2e47601699fbe3b3b048193a1c045686498df8c",
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.encrypted",
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        }
      ]
    },
    {
      "iteration": 2,
      "event": "compile_proof",
      "provider": "openrouter_primary",
      "status": "failed",
      "goals_remaining": null,
      "timed_out": false,
      "banned_tokens": [],
      "proof_code": "exact ?_",
      "compiler_output_preview": "\ninfo: mathlib: URL has changed; deleting '/app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib' and cloning again\nerror: permission denied (error code: 13)\n  file: /app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib/README.md\n\n",
      "compile_elapsed_s": 15.227
    },
    {
      "iteration": 2,
      "event": "search_mathlib",
      "query": "sInf_le",
      "results_count": 1
    },
    {
      "iteration": 2,
      "event": "search_mathlib",
      "query": "le_csInf",
      "results_count": 1
    },
    {
      "iteration": 2,
      "event": "search_mathlib",
      "query": "Real.sInf_le",
      "results_count": 8
    },
    {
      "iteration": 2,
      "event": "search_mathlib",
      "query": "Real.sInf_le_iff",
      "results_count": 1
    },
    {
      "iteration": 2,
      "event": "search_mathlib",
      "query": "Real.le_sInf",
      "results_count": 1
    },
    {
      "iteration": 2,
      "event": "search_mathlib",
      "query": "Real.sInf_le",
      "results_count": 8
    },
    {
      "iteration": 3,
      "provider": "openrouter_primary",
      "finish_reason": "stop",
      "response_id": "gen-1772076675-BqA4JWS40Dxy64n3o0zy",
      "api_elapsed_s": 110.891,
      "usage": {
        "prompt_tokens": 7590,
        "completion_tokens": 6074,
        "total_tokens": 13664,
        "reasoning_tokens": 6024,
        "cost_usd": 0.0983185
      },
      "openrouter_retries": 0,
      "response_text_len": 148,
      "used_tool_call": false,
      "reasoning_text": "**Analyzing robust proof tactics****Composing fallback tactic using exact? and csInf_le**",
      "reasoning_details": [
        {
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.summary",
          "summary": "**Analyzing robust proof tactics****Composing fallback tactic using exact? and csInf_le**"
        },
        {
          "id": "rs_0603608c34d2e47601699fbe83e4548193bf839864f35674e5",
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.encrypted",
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"
        }
      ]
    },
    {
      "iteration": 3,
      "event": "compile_proof",
      "provider": "openrouter_primary",
      "status": "failed",
      "goals_remaining": null,
      "timed_out": false,
      "banned_tokens": [],
      "proof_code": "first\n| exact?\n| unfold C\n  refine csInf_le ?_ ?_\n  \u00b7 first | exact? | library_search\n  \u00b7 change ValidExponent 4\n    first | exact? | library_search",
      "compiler_output_preview": "\ninfo: mathlib: URL has changed; deleting '/app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib' and cloning again\nerror: permission denied (error code: 13)\n  file: /app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib/README.md\n\n",
      "compile_elapsed_s": 15.196
    },
    {
      "iteration": 4,
      "provider": "openrouter_primary",
      "finish_reason": "stop",
      "response_id": "gen-1772076801-5YKUcKWIAuGPQ5ResH5c",
      "api_elapsed_s": 80.168,
      "usage": {
        "prompt_tokens": 4607,
        "completion_tokens": 3837,
        "total_tokens": 8444,
        "reasoning_tokens": 3805,
        "cost_usd": 0.05895785
      },
      "openrouter_retries": 0,
      "response_text_len": 66,
      "used_tool_call": false,
      "reasoning_text": "**Crafting proof using existing theorem****Using sInf_le with have step**",
      "reasoning_details": [
        {
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.summary",
          "summary": "**Crafting proof using existing theorem****Using sInf_le with have step**"
        },
        {
          "id": "rs_0603608c34d2e47601699fbf01e5cc8193bbe712e4fa928c5d",
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.encrypted",
          "data": 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"
        }
      ]
    },
    {
      "iteration": 4,
      "event": "compile_proof",
      "provider": "openrouter_primary",
      "status": "failed",
      "goals_remaining": null,
      "timed_out": false,
      "banned_tokens": [],
      "proof_code": "have h\u2084 : ValidExponent 4 := by\n  exact?\nunfold C\nexact sInf_le h\u2084",
      "compiler_output_preview": "\ninfo: mathlib: URL has changed; deleting '/app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib' and cloning again\nerror: permission denied (error code: 13)\n  file: /app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib/README.md\n\n",
      "compile_elapsed_s": 15.187
    },
    {
      "iteration": 5,
      "provider": "openrouter_primary",
      "finish_reason": "stop",
      "response_id": "gen-1772076896-pio75j8Sgg4ApHoSquU8",
      "api_elapsed_s": 110.898,
      "usage": {
        "prompt_tokens": 5338,
        "completion_tokens": 5354,
        "total_tokens": 10692,
        "reasoning_tokens": 5324,
        "cost_usd": 0.0772415
      },
      "openrouter_retries": 0,
      "response_text_len": 66,
      "used_tool_call": false,
      "reasoning_text": "**Constructing robust tactic using set membership****Using library_search with fallback exact?**",
      "reasoning_details": [
        {
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.summary",
          "summary": "**Constructing robust tactic using set membership****Using library_search with fallback exact?**"
        },
        {
          "id": "rs_0603608c34d2e47601699fbf61324081939ed9ba84d613a853",
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.encrypted",
          "data": 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"
        }
      ]
    },
    {
      "iteration": 5,
      "event": "compile_proof",
      "provider": "openrouter_primary",
      "status": "failed",
      "goals_remaining": null,
      "timed_out": false,
      "banned_tokens": [],
      "proof_code": "have h : C \u2264 4 := by\n  first\n  | exact?\n  | library_search\nexact h",
      "compiler_output_preview": "\ninfo: mathlib: URL has changed; deleting '/app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib' and cloning again\nerror: permission denied (error code: 13)\n  file: /app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib/README.md\n\n",
      "compile_elapsed_s": 15.17
    },
    {
      "iteration": 5,
      "event": "search_mathlib",
      "query": "ValidExponent",
      "results_count": 0
    },
    {
      "iteration": 6,
      "provider": "openrouter_primary",
      "finish_reason": "stop",
      "response_id": "gen-1772077128-LQ24piIx5sw7UpKAPkgz",
      "api_elapsed_s": 18.352,
      "usage": {
        "prompt_tokens": 11789,
        "completion_tokens": 1105,
        "total_tokens": 12894,
        "reasoning_tokens": 1050,
        "cost_usd": 0.03610075
      },
      "openrouter_retries": 0,
      "response_text_len": 135,
      "used_tool_call": false,
      "reasoning_text": "**Formulating multi-step proof snippet**",
      "reasoning_details": [
        {
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.summary",
          "summary": "**Formulating multi-step proof snippet**"
        },
        {
          "id": "rs_0603608c34d2e47601699fc049d990819394d7f18172cb284e",
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.encrypted",
          "data": 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        }
      ]
    },
    {
      "iteration": 6,
      "event": "compile_proof",
      "provider": "openrouter_primary",
      "status": "failed",
      "goals_remaining": null,
      "timed_out": false,
      "banned_tokens": [],
      "proof_code": "have h_valid : ValidExponent 4 := by\n  first\n  | exact?\n  | aesop\nhave h_upper : C \u2264 4 := by\n  first\n  | exact?\n  | aesop\nexact h_upper",
      "compiler_output_preview": "\ninfo: mathlib: URL has changed; deleting '/app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib' and cloning again\nerror: permission denied (error code: 13)\n  file: /app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib/README.md\n\n",
      "compile_elapsed_s": 18.959
    },
    {
      "iteration": 6,
      "event": "search_mathlib",
      "query": "Real.sInf_empty",
      "results_count": 1
    },
    {
      "iteration": 7,
      "provider": "openrouter_primary",
      "finish_reason": "stop",
      "response_id": "gen-1772077208-bxwb0hkZuZNCUvXHKOFd",
      "api_elapsed_s": 104.838,
      "usage": {
        "prompt_tokens": 9307,
        "completion_tokens": 5780,
        "total_tokens": 15087,
        "reasoning_tokens": 5687,
        "cost_usd": 0.08289365
      },
      "openrouter_retries": 0,
      "response_text_len": 279,
      "used_tool_call": false,
      "reasoning_text": "**Assessing approaches to prove bound****Providing fallback tactic referencing prior theorems**",
      "reasoning_details": [
        {
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.summary",
          "summary": "**Assessing approaches to prove bound****Providing fallback tactic referencing prior theorems**"
        },
        {
          "id": "rs_0603608c34d2e47601699fc09993408193adb957c81f52a11f",
          "format": "openai-responses-v1",
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"
        }
      ]
    },
    {
      "iteration": 7,
      "event": "compile_proof",
      "provider": "openrouter_primary",
      "status": "failed",
      "goals_remaining": null,
      "timed_out": false,
      "banned_tokens": [],
      "proof_code": "first\n| simpa using ma21\n| simpa using mandache\n| have hV : ValidExponent 4 := by\n    first\n    | simpa using ma21\n    | simpa using mandache\n    | simpa using ma21_validExponent\n    | simpa using validExponent_four\n    | simpa using validExponent_4\n  unfold C\n  exact sInf_le hV",
      "compiler_output_preview": "\ninfo: mathlib: URL has changed; deleting '/app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib' and cloning again\nerror: permission denied (error code: 13)\n  file: /app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib/README.md\n\n",
      "compile_elapsed_s": 15.186
    },
    {
      "iteration": 8,
      "provider": "openrouter_primary",
      "finish_reason": "stop",
      "response_id": "gen-1772077328-M9Ms1KM4oth8AHMLR5VX",
      "api_elapsed_s": 41.626,
      "usage": {
        "prompt_tokens": 8181,
        "completion_tokens": 2293,
        "total_tokens": 10474,
        "reasoning_tokens": 2257,
        "cost_usd": 0.03553235
      },
      "openrouter_retries": 0,
      "response_text_len": 76,
      "used_tool_call": false,
      "reasoning_text": "**Constructing tactic using known theorem**",
      "reasoning_details": [
        {
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.summary",
          "summary": "**Constructing tactic using known theorem**"
        },
        {
          "id": "rs_0603608c34d2e47601699fc11172e481938413df5f4e8055b3",
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.encrypted",
          "data": 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"
        }
      ]
    },
    {
      "iteration": 8,
      "event": "compile_proof",
      "provider": "openrouter_primary",
      "status": "failed",
      "goals_remaining": null,
      "timed_out": false,
      "banned_tokens": [],
      "proof_code": "have h\u2084 : ValidExponent 4 := by\n  simpa using ma21\nunfold C\nexact sInf_le h\u2084",
      "compiler_output_preview": "\ninfo: mathlib: URL has changed; deleting '/app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib' and cloning again\nerror: permission denied (error code: 13)\n  file: /app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib/README.md\n\n",
      "compile_elapsed_s": 15.212
    },
    {
      "iteration": 9,
      "provider": "openrouter_primary",
      "finish_reason": "stop",
      "response_id": "gen-1772077385-s3ySd1ms5hsdMGmDCKk1",
      "api_elapsed_s": 37.344,
      "usage": {
        "prompt_tokens": 9145,
        "completion_tokens": 2366,
        "total_tokens": 11511,
        "reasoning_tokens": 2221,
        "cost_usd": 0.03642695
      },
      "openrouter_retries": 0,
      "response_text_len": 468,
      "used_tool_call": false,
      "reasoning_text": "**Crafting robust tactic proof**",
      "reasoning_details": [
        {
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.summary",
          "summary": "**Crafting robust tactic proof**"
        },
        {
          "id": "rs_0603608c34d2e47601699fc14a60d08193b8e6f4456b8822aa",
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.encrypted",
          "data": 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"
        }
      ]
    },
    {
      "iteration": 9,
      "event": "compile_proof",
      "provider": "openrouter_primary",
      "status": "failed",
      "goals_remaining": null,
      "timed_out": false,
      "banned_tokens": [],
      "proof_code": "first\n  | simpa using ma21\n  | simpa using mandache\n  | library_search\n  |\n    have hvalid : ValidExponent 4 := by\n      first\n        | simpa using ma21\n        | simpa using mandache\n        | simpa using ma21_validExponent\n        | simpa using mandache_validExponent\n        | simpa using validExponent_4\n        | simpa using validExponent_four\n    have hmem : (4 : \u211d) \u2208 {c : \u211d | ValidExponent c} := by\n      simpa using hvalid\n    unfold C\n    exact sInf_le hmem",
      "compiler_output_preview": "\ninfo: mathlib: URL has changed; deleting '/app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib' and cloning again\nerror: permission denied (error code: 13)\n  file: /app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib/README.md\n\n",
      "compile_elapsed_s": 15.228
    },
    {
      "iteration": 10,
      "provider": "openrouter_primary",
      "finish_reason": "stop",
      "response_id": "gen-1772077438-A1WmGnFntTsoQ4SINZgY",
      "api_elapsed_s": 30.927,
      "usage": {
        "prompt_tokens": 10385,
        "completion_tokens": 1660,
        "total_tokens": 12045,
        "reasoning_tokens": 1649,
        "cost_usd": 0.02730175
      },
      "openrouter_retries": 0,
      "response_text_len": 16,
      "used_tool_call": false,
      "reasoning_text": "**Finalizing concise proof tactic**",
      "reasoning_details": [
        {
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.summary",
          "summary": "**Finalizing concise proof tactic**"
        },
        {
          "id": "rs_0603608c34d2e47601699fc17ee63c8193b63f36bab15860f0",
          "format": "openai-responses-v1",
          "index": 0,
          "type": "reasoning.encrypted",
          "data": 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sHdCx-Fxt_BJLMEqmsb8UNtD_ouZiyBkJ9IPhl-JpzLZz42h8uz9o7XK7LfiDjvbzJUU2GCn4uWHo_UIi54nWDHbyT_pmgSv8iueFYWnbSeVrUoh83RlDNS4l5ryTnGI4SrrBaVieET_Lbh1HcCQ_EkS_8stMdSCgDOc1ozrxpeK--nVa_gtVLTqFgceI1yJKLh5Ua9W-kMu52MF64Ry77MDRb8Ml-9qAI9-RYcJ4cULyZSBDEssl6DX0-wKBVwU0m07kHF_e0IWsmA3GzemDKEYBgTPmleL8jOtUk0JoGJG1kU3jUBUKVrT8rn8Nm3Zve5mJ7M4TBtsPAC5aFFc8gLVIecG14BOUa2YiJvqQsquOluhOh_rKLrNXH8UK_UJCdOQYxKm-ZRnd4iQhokLs0UDrizKOXHm6HXmTu2SdFo8oUrQxaKJk8KK8QuL6N4bH2Vl57VfYdQh5Wu7RSiXJV7LfBbFU1dCqAleGs7hzkX3uRdbG9WLmaLdgLMHXo7n8DyF8jrWecrCIi7pkYYuOL8rDXP1YCTzIJqPjZgC7pbS3MRPt9prbysngqiUTE7OSq6smGoPcZ9zkV7Cp3R9TLllG_9i8EJjgRyES3rQ="
        }
      ]
    },
    {
      "iteration": 10,
      "event": "compile_proof",
      "provider": "openrouter_primary",
      "status": "failed",
      "goals_remaining": null,
      "timed_out": false,
      "banned_tokens": [],
      "proof_code": "simpa using ma21",
      "compiler_output_preview": "\ninfo: mathlib: URL has changed; deleting '/app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib' and cloning again\nerror: permission denied (error code: 13)\n  file: /app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib/README.md\n\n",
      "compile_elapsed_s": 15.181
    }
  ],
  "verification": {
    "banned_tokens": [],
    "command": [
      "[path]
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    "duration_s": 0.22882843017578125,
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    "is_verified": false,
    "lean_file_path": "",
    "problem": {
      "axioms_check_name": "green_19.upper",
      "axioms_check_skipped": false,
      "benchmark_id": "GreensOpenProblems__19__green_19.upper",
      "category": "research_open",
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      ],
      "preamble_chars": 1837,
      "source_file": "FormalConjectures/GreensOpenProblems/19.lean",
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    "returncode": 1,
    "status": "failed",
    "stderr": "",
    "stdout": "\ninfo: mathlib: URL has changed; deleting '/app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib' and cloning again\nerror: permission denied (error code: 13)\n  file: /app/asi_portal/temp_repos/formal-conjectures/.lake/packages/mathlib/README.md\n",
    "timed_out": false
  },
  "phase2_error": "ProgressAnalysisResult.__init__() missing 1 required positional argument: 'progress_score'"
}
Gemini 3.1 Pro Agent v8 Failed -- Feb 26, 2026
View
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