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green_19.lower
Specification
[Ma21] showed that $3.13 \leq C$.
Lean 4 Statement
theorem green_19.lower : C >= 3.13
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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 |
exact?
|
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"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",
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"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",
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"
}
]
},
{
"iteration": 3,
"event": "compile_proof",
"provider": "openrouter_primary",
"status": "failed",
"goals_remaining": null,
"timed_out": false,
"banned_tokens": [],
"proof_code": "have h : C \u2265 3.13 := by\n library_search\n exact 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": 15.22
},
{
"iteration": 4,
"provider": "openrouter_primary",
"finish_reason": "stop",
"response_id": "gen-1772076683-kidbLB3jnSbEBQlpstFD",
"api_elapsed_s": 104.086,
"usage": {
"prompt_tokens": 3750,
"completion_tokens": 5126,
"total_tokens": 8876,
"reasoning_tokens": 5094,
"cost_usd": 0.0755041
},
"openrouter_retries": 0,
"response_text_len": 66,
"used_tool_call": false,
"reasoning_text": "**Relying on known lemma**have h : 3.13 \u2264 C := by library_search\nsimpa [ge_iff_le] using h",
"reasoning_details": [
{
"format": "openai-responses-v1",
"index": 0,
"type": "reasoning.summary",
"summary": "**Relying on known lemma**have h : 3.13 \u2264 C := by library_search\nsimpa [ge_iff_le] using h"
},
{
"id": "rs_00e492c9319d7d6001699fbe8bf0b881908a06b086a7ef062b",
"format": "openai-responses-v1",
"index": 0,
"type": "reasoning.encrypted",
"data": 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hSXf98B8VbFM1LVQ2ExIYwVvQtjiLwQYDH2_f7Z-sZygfdevysINrrFl6Mq6rKQISMyWrbMH4lK4fHfahjlMwg4O6DXAlohnuZxMZcZOjiwexLNsiV_UYtrCSXsQD9R2f6YVvNxAxwtCiDQZZbXleiSs5MSvakgfDyPJh9hjpGdofzXhVAzsoCzYsqXHzrFrLSt3JGcAtBCOB_QESngLrxy8vgzKFBmVSJO07DbtZZw8JXiW5DusxpechvJNsxS8s2T4NFAtYodHOQ3SG1Sc38xmVF-lh8Z9Zz2C6E8l-ppGTkZJRyfU7-tclV5sB5nSDoXsAuGApmrpnhBOOGsNdAXRX-w7FzZ5RhcKBUOy3soG65u_tgmFNeAaKeMaIE1sLcgfoFFM23a5r-vb7W1MJ4B1CrtKYCq2HOnpVBA21FRxnE5W3qZ51ZkkysIzhXuVilNSq4xD6tLfWGOtk7AwkMLij1w4MKscDFFEl7ZIQfjUgH2RmDHbefgrrlQHLqyjAqE2V-mU38cIK9sTuUZDVZVzj_5YgWMrOmwMMaD-aaR3VgGRO6mmRmK7RIA62nLrJhSMvxG2hYTH0XOBTc_N8gWSjdkuNSrzxpLnCC40-0KN3GTr67RkuXYRjF3UJ-tattgUzJEbskfn54PdpTuLvE6bBEAhBRS7B-Yo9kRg9eT5tDgxEn2hbwyMpHJ0bslzC6raE8mCeYgWmt46ymOuU5hNPRisbpL4xI1roV5A2jKs2gdy-NjEWfBPN-bfIbSVRQerZdXWlnJhHgH-wcgMXT_3kaR4m9RKJjGNHDsiws-QU6-xFptRiwjcE4TXXn3wa_29zCyDyOXSgp_IJZp39P7KJVzmGoJ1VuJyAE-1et1KLSwsCS2fQdPKDkWWPuh4znaTtQVwzKXduNup5FOGbcHiHFg9mdR_e6KHvqArx0SL9WRta5ZLJMya-yoau8YXXEXwyOGwQDcQGnKHScMo4MXGEf8_0g0z-rLB8jmE86P_R3t3wr8Nt1xjNJFKRjanwxPBRAxMVLrsgk0o9vxmkcrqazwQaGjjBW6uTH4qF0MFldDBQEvHTbOIiDXg_J4OSV6_FgLCqbkpScRka96ivgd0HCLz1quemAByvCaoR8kSUcA8jHUxxEytpAVEVEm_OUZmg0pmwiFwbZb8iawcDTLLL1L1TDfHr00sGjwWDQBPcQDKblhbvZhFacQzCQz0pLiv82lmh41tNDlpsdToalCdiWBLOWxXiQCch4kSHqhe7kjrjX7fhkcJzJXrhuIxPIL5MuKnEYpGBUDVx4ctAJ51V1ErddtJ6GZCWwHwNmnSSc-JnC51eHX_xGVNror7ox5X_7QNY9QopFC5WcQAuCte3YUFKMZxf0cq36-YYYTMBIi3JKs33Bv-OLJSNWUVFBEfWyCUvXBQDmj_ixjtlnBNcX4eSkcw_OxUu2sHKd__wyuxPjJsQSAZGfF-UWEvgcaoImQByXJtQbQMHegmqBCRbq-1swnWxCsXXOgVletqqXk8nJjEyzqunTzEhemHbFYCZkRQDLqCsUQMZye8Dlj5bTHk_pzWXzD94Un9inFeZsRxbe-7IaUwzORaKHea4gXyjFIZmKojDvgRoxwcnUcNYKpqwJ35wXWxXG5GLg1NutKe-qRr6CsOJyHxPBJjpCqVEwJzQvOCsWuRbnfepnCE409vjVclWWqejP8iS3-lRTGZC5_sueAksfnFT6fFzy8TtJo6MRdjIsBg-ektYKDB5DtH0ebJlhHja_M2TM6SFd7hElZuwJWC2E596GFyqZ2_gvd1FU7oCbIHGCbnZJo9MlrzOfLfX6CvnEqGdsKYkgzqEbFnZ8_-GiigD2pZ5nx9_zHSMYXLO-toXQjZwNtnJDRXCPoalB14cot3K2AgzDnBLlLN77sSeE-A8dieQ0E2nRnpxEW_a-LFlS96mwaiUlZGCCyOw8kNqwpynlUhKLFx2jnwvLwvehXQ8dUHAfGnkZ3egXQljKAKdNwmgDTF-USXcLl8hPCBDmLte2z9LZAAcfXped3CkH-K28KK7LMACtZmcGgXhV4vMRj9XEmcMSTrIJgf7FOqsWuJlH1QrOV-B8JySwdfu4HvEhtG3Zx-kX9uP13YcwmomzR_X7ZJwaudhuxnq3At4a9v8qiRYSPiAJrYfZz914_0XiFniWsMkW5xeyinw6leEWKy-TGLlxqCn0e7nIdOxc8rHjHZ47u5GnxjOiBba-F53Wjtq1ecIlnam6ymQDoo1lm6SDsvmbCNbkYuJPyUuXXvxeiy-1M7y154d5koNyuDjhrNzlvvFYnueg4YCAbm3UTFZ0qb-k__nLs-OfPBXfDdLzkJXXSc_aP3X35WD283O_stm1voHq9-rFh2ts_luJAKNyADCTcF8sa-s0sVQUMAVSbIBGSa2WHma4Q1Qa5sOisU3ED_ExmMQS1RoLvio5ODCAURrqqhV6iGdTE5ENs8HHcetJmylRHPf5QJYkcOHqf0ZfJYLOIULG6NpNAgqim7L6yyHp75j2s5zTEzbmSBCnOjpFoTQZBc3-gFptcC9BD6zfeCrLoHfRBPJDsTN6m8k0Jr2dzn0YhHOs_mdPV0ZGLADoDK1qK7zkQFnc4gL1vNU4rvgfXENb9mEkD1CTHlWOaBUkdbBNbUdw0WvccQRsQUTLRoboJ6gkvsSenXmx54sLbg9EAu8tdNA9eNzWOFGj387xONTs79OL5L3147UNkt4C0WCB17Z3Dk3t8hVXajuiT-yHnvVKx605nRQOR7QhAcp-X-H01DIJCZGxREP2obnCgLfHVqbrU69of75zEMj94dX-HXm5qavPjJ_vnBHHIS0UTj6BOREGw8wPQRUW5BSE6nKbBebK7fA5_OmDmZ-CjF4vjy1r-tCE9nLJhiU--OSutwsC-4jSx7lnxi_uplwH2eaTTr2GAUmVnvpPzedtE1pmOHPHEK3zYyThO9SGMPhteuX6P7hhYLCfG1pbaccDJ2AaJrdfwqcfavvBnpej9QfWSq0xYtXKgTXfYxV0dUcUZbcuvMn_8KVc59RzxkGK6FOi7zG1Wo2rublQWEYn9wGo3HEzzH3YojofXuAyUVbNql9ai-3lImvgrAbHBHNn0G7fGjKKOKPOqFpnn3nbSfxHijhLPNTDJv6KSLF-0tG-qe6QcfHxbTePZNo8Ray9MAi7eygxmeevpA1kQqdUxk75xWgNtyV4mf63rTHVK5rAjAvmN1YhWducqqitx78YFIAClC-p9nwNfJpWv--y8k80VYHhXkA0n9QhHtuBcb6bny3sddPEWnFG5RblpUZLqeuUSwAiRqplIaz_a93YacVKi4FI8yFTtCcjIEhV0rH1dUfe83fUZxxdyAISanU3oHwN1Z3EzNZinEp8LzjXKx5b4ajB4OGV5AY8_V83iJXVHfTb2FpmeJcQXFVcCQqxRqulz70iR5jkTyz2drv1NLxNgvmvGndwGNWEzlSfpXZapLfHIZfs9KlzyDPATxjkSc8YwcHlx8M90HnSPh8ilRUc-h4oCYWX6f4m7d8Pj-t-cehVJqYrxty4AA6iCz8_f0k3IXyVyfRbXeVVTtWGPg9G0WcYpsxxOc6CKlmTR_o6buj1-relrlcTdZa3V9fahm8KcDeqAubldNxwvQmkAo6ffSAo_1IfVQXGHj9ZYDAFh7HjotO6tsstVlt7EU1S2tKwZHnbL6rS7yJeqAWG_jB8Cm8R8DGvybe3-cTt_L1Ww1w1e5aiba9WLMoBxl1Scnsi5OKzFpURpBrCyD6qH-fCuBfIElWQyeHlv45Qq7fNlHuhjDKJehT8WjQJH4lpwO353j0GjdFxo527YRRTPeyD07Aaa5HxmIWXIwAmbSMxuq70RSuGocgRIuowqlhAhG4RtsEpNlMH_Sis_9Gipve2nxYwFRVizs2KSLg6bxdZyfLGBnD3Hfhr-vfLTQ5NRmLEv9wkuIgMvxQrBzIK3m5mlHloLr7wesZ4c_TkUcvmAAUc04efIBXwwB3yBySa6SZtNkxARykrjA7teFtkcH4UH9RMIBsVUcgNDfPX1g4H1jRolYQjzcgjOK3cMnx9KTq_1l6CBDnLRTsMEI8rhXYlqnnzitIk1Xq3N1iq6kQEfzN2KZ0aMn9IjNYSN7p2rM51u7M2CO2E17Gya6vtwfacIG-maNlEf3GyaU5f6T7XUW9Tf-eo228D63Grxf0fPIXoPn1FsZRFSM0Eq1fMGic50V4OGmcqis8CoU98cfMCfUKlWLFCUjIa9oZFQornQ9l4Bp9JdmkTUDu1YOjx-goQNOWBS0MblLiepfVSwIX6uW3WEjH_cbbKmtFBdTm8n7IJuENLGQor178yfj3Kk9Q9LnUsUk6xhC4SS1K5vU25b6tnIlAM2QfdQ-7gMaaNq8-hhQIwcf57W14syMvD42GHCWFK19zWiMssqIofO2q2cRkDnI8KVmN-V7SaDkgZ42AupYURAj0LB8Qtu9RIX_W2MWFuX8AO1p5PIIBMrYxwuGgmA90kkou3ej3nTY0DAMLZ25t0-9n57Olk5TTi2kBV1Pc_W3iM6QZ_GkBSWBE2E-6vOPjdcV0lI__9KioTpHVYj4xYv1CPQ8ktF_fzz5i53XQIiZRqQ0yduiBmembyab6XSgMS6UmLNshzJVJ2SyKBBAUoHnZ_-1OgqXYCS0rCa3aAZ_b1e-l9-6L7_t1rFKwzLHTMadGL6LO2L2esBGkEAvOvs1AVJ0am5fDF5to4YhnELm3d8gvthLweMP05fX8_joxFE4Gn3s29Ld4Sx5e6a53si5WN261Gg99P0NNBwxr92GE1dTlO93Yk7wq_ZMIB4Ic9VXoH-nhktdY_4OH69EUIg9FThJQbSBrlD81qtf5Wrwoc_syPFfbwDN38RvXmCH3tnesf6gsQi7HfOboZXYfSswEGzqbuvrwZlqzG0seelCJV-q_FPuT5KhBoG2iursFlMTxM2nb8QlYwLm6TqZOmm0TK72IJ3MhX60R0w5RTaacsQCqrD44OcSX_ih7TVqpZXbxi9yzSpbTGBkoDEWR8PCR2hQI1Gb2bdwoLxprzw0TeCDZCPDEt0FXHXfFIaNm3JrCyvuoITJeZmFHa8NxBHYob_IEnkV4Y_8DLPxGfIdJ0ZQWG8V7kdDY6GR5U__fUbs8KCwDI8rfZefZMUkXZ3v-tZiIISt_Ku4ngl6brMBS9uZvSA9ZgM8Uv3kru0vMbdoMj80tGg6_5OGJUIkYygO4EKhpQgVdxx80LhwkLqSswDDPEJhkUTSpFlagevJYDFhPQPApCtOxU6a7xdrQaC5mCo7g-v5auDdKHEVHDsweXivOlXsLKWDf1puJzraZulCkKyJGfXjDBWxBvgT2qS7qi2x4cXxIG76y4txyvZZKYqGfP5yiIooYJWFSQ7qKlEbKwWo_FXILiikdD7LQ7WwZF9-gP6bPbVzdTejJr24B7c5Ig2aRB5Pfs_OxCxSUmZw9doZ6LsemqZ2SrgqgCayhPX0TXrhW1zlPjrb_w_02A3Z1Sxdg8z1vvcpuE96ACzZM0mnJPFOs-Fd_n_cLJpHUuXXDwg1VQH5gdHPxn0xlnfsMAEUScr1NvecxOAsrBcHCU3k6hrEC7k_dzY9fAk0nZFO7Zkm0rsPCOLdVuT9XAO9tbCSbVfORXjC2DOcKs-PYQX0aofhtoUgdpnSajsqbrrebwtdODRkog0gOqEuZVXSevL3zCVyvYw67XSCGKAsJm9XfJ-3gFrg0mMKUsUS3RQfBkeIDKjSX6RP-FAtIYYzPul4GDmiPppqkw14FtEAav9pufNcwnOMtbmFxA5ViWlrthX_GocgGZXIlM2CuNuaVw1SjwKx3c6NhCfPYGdSoKNW9QSTNPuIWdhZZqUl8bz7bt8LNAv6NiRg5z44mOO1aCkcDygCDbtJjy9InKZFhP8K3hlpWRiZRHr3yi9wbcWg3aABeJZVgZWbGJlDWsV-wU_ITn8Pn4nh2kEU4VS1ynIh-WRqVTXPl0cRALjbYp2L0IEtJfNGJYdK-PLKhlSA6eiAbEJAcHCtdGpdbpVItgiZK7m9VkFzszRMihXPmYKe2iua1vLFpkqMki-_X1O3cUt-rVsihP1hajbv_ap_IEU3xGRxd3g_BzQMNdgSnqYuFmIHxRcPUjH2dDZk_itwtjbDvMxYT-oJ_hVKHU_inIWALPqBpf92NFb2qGsuIWWLS9xtWRAeItc-8hBf_MCZbm5IVKT0unUwXKdfKIT35YvG_Cm-nATN0pq8waeD4clBt7N44I0CGBBSiT2GK0IEvVR08PTQctGghOTVM4aEtMzZ44axoNdUQLheByVwiberxFxwZ9k_ZhsE-UhF4yY4MvvsmRlYKQ3yEwykn_Nr3zel3250rwPN7mRUOGihRbkB3gMp-DC4oc1X4F2DcvFzNx6sa3_8UYOe-ti46l1uKhpIe5yOvVZjurZiCpTpH9jXg6XVUJQEV1Bv1pZJUcaDRjHcuKz60f4CtjHcy9CJ4YONTl6zBTWlq3C9e8meB35yUNt_3C7vx6NTgG07sdvyNfk19zmpc8czLS-umwbOCGCsNeNffJRnGu3hxu_Ld5sRQTLq8R1G-4BSOwtUBcWe0FtltnkbTqdIdBtXq9GmqAfuFOI6cA0qkqvQ0t_AhOqEA08t7otRXVwPz9Yb4ddd7IekBvspVCd0AhzlvUzJUn7AsYK-zg6hqK-BVfVRMdP9lSc9A9SGiOimqnj4YiM-AYKtQ__ECVUTG26d-TpLTtJ_dwgrSIWI8CzcfxOj52V2sMuUnxtbPW293QiZlIomnmXhMNIzTmJNaqA8vqd5jnjV_7qfH-C-u7klkbKsVKv3ChiikD_8gHifBFWW83UHEWQXoEC7D3OJaj7uc0pCHlekRC5e48RMO4Ur_yaSX0q-hZg6g6A12r5vESVtYbkSJtHNQpL1Jqnr_mkz4_wIc7EaIiHcDXK4m02P9CI2wYdO5b7NRgm_JdrwQBMg28zNjhFRhyHOUvbzeYuEU9Ji44qvz4AWbohdlle_qUPEBxwkvSGqMO4TTkSDABWg8V5Fbc3a-aQOzeXgk425IU7MJQspx-9icsFFJZA2LU4k73GQYLRJJWB799qWRFxDF2GBwflZ2tdlZoNhuCNzVoYpM7dtj56rejkBrphjq2PNznMhxh3tei-SkymI2qRCEDQWrv6MGXeqHW7PfEdkgtX7c_8UfPlovteLYM0en54KGRbE1t0yS2dOXbYWTIq2rvnI-Xj35o6OyEGnSL7eI2Riz7i1Ky5VMC9K5lokn0Mkm3AFz6YLgT7azjFfph-biIRWLSAKdVEGemu98vl97iBo7N9FcrXbrxa7N-W6MMinPFN9QKPYj1v1CE8ryiYwU_Fz54-NTJG0rk4sWhWeixO1h3B4pWiP6wufrZN2eBqTmrK_B13tcPXnzf2MTyhG8rZ7_8G5kPRLgsaJ-c17APmqzE-zzbhPgypdwHa0aptSsbO1EoqxSyZ2izUvJrA5Cc0J1d13JhUmXFrOS_Ez2MvE7eoCiC0pMDzowtSUJyJMBY0gKA67LjC3ppbKUYtryf77YN_zp1KPQpUyJAO3GYOoJuWx5Qj-H7Ukco9FQBZV-BLmISTkPyZ5yNLLGw_Ro8TiqZNmwSgj3dGXLp5MO7V-oI6MWpvQ2odyEyk5tvnTl7XFYgg5pm7YcvjggQa9KhtjPEqF6DwwWwGehsxDM-OBjDfLRQdV77vAWokuAuURsL9PfX-WUsvf6b324hWEG4NSfbmZ2fMRFqKKjyvZQvxeY7Or93QlGdi-TQFyl8elNlGZZPDxTI-iq4WvGPrn2KsnKKYursOiJXqIPj5AY6AT7Dl2fxS2_01yuH0syuXYS2hRZDNLesx_fM19d5hGBWg12y6WD1soM1NAmgurYpHEfhAXqoa0WeGUMxtZcsafREIefFrWoC6IWeZF8Ph6jh8tsbFkLir9wIbzb4IK2Bm4j6WXY_2l93R4eGwr208xs0pu7I37lvdniaivrsmqnGek4_y8kRixpOxcW8iDcfCCfYV6Yc6VkTFPdMzinx09FlHDPUXMUVQXuglKPtiEuI7i9cIgKcXYIuPB9yHwQxkszsZUV4aeXilML-I332gv6cxdoJXP0QgBAjHaVhgR0ZMGHvWsOavh2sbB77a4nedzU9fz9lKlgbI5dbm2u13K9mvhGZIE0mEK2fi56OdSudD3Qx4jP1tNyWu5y0u3DMpCvHeg49nsexn0h25h0mnPiXVj8X1CV_i8NwMLGoRfNU79wKqpWjQJMcOZdRzHRqdN3HWGgLvE275edywCpAQCNEJwEx_eTpaYsLPtVXuiQ44rb3Pzem1IgCfrN4qjqRE7IcC_0D5u9exi40haolwa1eeYmn-fRkJCALr7ruRTGb1dOpHe6K4-LhTc65C8dd3QECsyl7W8zImNgKcEwgw1eogvwKPdkPz8aF62a70bLlky3x17b9A1DKOA1puA46vWLuQzig5XuVINNPkgjESwhCNeU_8Gcwb5Ua7iyXutx8oJ05etNXhe5T1AqfsrtPjquf9TXu0DiqfeKa5RNJfNPQEBGL9a7E75FVlnx3o85QS3GqUkitlmrC3P1ukvqquqh87cB6u6p3OOcK0q6chLpSXGoiabs81pMM0HYlgeIBmepbj7MfXIgHG5O6Ny0wfCf2aj4wE0X8IxAtPzEWY2keYbYQc-EYzO1ceFsNMLEb_0ZRapOCFDwphiIDO84l3l2nShA5UP5m0YUf6-5fr3qtz_0NUm7vuVs4pp5w3xLWhzKgZ0fr_tDv2EOk0E7tF_mT33_SxJN_Qo8OHbkhB1bOHhPfIUCezlYhzwRHeJjmzGF2M0CyKVxWXyjD6DbnFYY7kuje3D1edc59fwyK-PueRsMMzpLQiw7CRDu8EeOIv43PGN3rKiyKhDnFqRw1v2Id9Dl0FTKCb0EJ3hhcMYDI3eQ3XLdKuCI7W3XD4Yz3yucW84xXhlybgTKqNmpgoL82jJB8vn5AibdAXHNmvnlFQ0NPE_jfEVQbih2Id7T0WtePeM8Xkk3TOJX_PZRWoR_Kd7Y01-TmlVgaNX-t6m5vpVfV92rF4POU4IedAg6J58cq4CgB1lnSbYjx2e5EiBhfQGVu1cl3axSfhrS3vwOC2nNe2bUrSadmUYi12gqyVXBOEL_HFJ5bGy4oAu3hiip2gA2sjN3xl8gy4OVxnTL3rW39jUXTDx1F5RxcETF9lwT8-N2PK89JDtyP_of5CjHdxvfTlnWUFqUMh_au4y8plMmSDdNjsm1e6V8IQbf9kgyMRQk8OwiWR-J5pYmXDxKSyEoFBIfzY6oNhQGOO9GCpRqWE-YtB-nF2T-eZRkAeskFXzrx00W7itXjL69kfXwHVo1VHoRe5IXyaBuJqf3aThGND1HAAgcum8jqeFR0A4FkSXPsvsa3YOBGnN52RYGXSq8KBHNiE8krLZwSigOoAkR4T8HkdpJGZL2MoIiaW6JX10X-hXNJWW23H7GAFejMRk0jnWIVOoKYa9KJgXCwPz30HRIYqEdjsnTv9rtLkBWGAl3sqQlgSSsPo7O_LzwDpJVJwgBh01fITqB0PLU-n0XF5Jj70dpNJpAD5mYDxftf9zW5gh4c2V1r7rXdo92gOHZ5RkwimpK78-0_qysJH36nN_weYztwfgVBbZ0Z0CUd-A9-LxKplidHwvcphabFrzm4TBswDOdsIuR6qqtzu5lSiQb7vg6BkQmEbNBNrb9JcYz0RlducVY_-T3RYUrpudAcBntClYtzmvcZ6oshN34MWx5sWMqPqp22aJF6_bNbmZBxRfe04wZ_hHAs9LxjPkFA3r1uMqZiUpWMBKP5HVbZNac7dDl-5Mxse4W_CBKAim7sZbox_PmI_rjtqGTA8vJYeRuej_W0Hys_DWCzH3gNaXAffIvHlLIGNPYiVENhGxjNxAgr8ueqeFtPm2m_F4VmlPWNMqIbGFoe7h4tHIIhTOQ9X_j8_rfEVB3QW2a9pDe-4Qp8OCxwQFNinjBkKi9Zz7r7ME5uVUJGX5DPaAxxHRhSUT-OWJgAijb-EONtR0RC6JDU7Ahw1rL5q2ZiV0RRzgGZvVBkE8OtuqYjpnNUmp7g-jYFAiJdng6Ikvr-KU5ao8kYTUvhEqgdjHmY1UOf_yM9qVrjEg162LpcJClKrt7Bh2ZMCpevWzqdpfJs82rFThbrOIZM1hESq8au6sKSScCG7OyExqQjaSUXaAd8_HsAcd5ElILNff1rVdvELojlL9r-yGU7BGK_S8fgHIgMjKnBx05wVmJy30LK5u5gHCZHgcpFgaEdOJe1JTATr_z6Nvd-jH_7MRr6bGzBDLU19Gs5DmiUX2iwLkSjWJSTkrbHhfxwgGBslUG5Dx1Q2OtpZHY01Tu5QUb-QY9Z-XytIP_n115-V0VrbNeLpOriTaJWbPDmiAmW6cBrN0-hCBnwQ5Pr6hsMcAfCYotovHdhbpsImNbGZ43r8ydXPFJ-fifkUPy9qf_C895ymKlcLbwaxO1n9VEPLJHBJoS-QqwSoJhbeOMMPk7j8_noWZx3LkVgobd6e6rZNnm05B8rj4EDfe-1qObhCsAe4MWwMovQdGZ27vS3y94qtyg2UnDoVP0g7zwQNmdrqLdnDtySAoEly_xv9e113RY3OOlE-C0uvtp0vwANG3YTMAFnzWCLX3tb-z0c8ALRInC0iWoBJRLYfBid8WpTCRAHqFlwixpzsPdiH2llBY_Om5wKlqchqBt-6IWwUQ1ymwoF5oGG-lUtFXrL-DLHfF4Xk_NVrmSWBVMO-3C2fxGx5DL9Jkx_-Lv8f8p5wXASwja_KLzaTPPU9of-OJyAeUirQ8Ao9w_m0WcUdthLw9XPsfkqj-t5OTeN8Q7U8hsLpcLIGHfcj-iKkXA-Ney4A8-VqGAgW9X2ERkkjPtjNaM6382puGuvfQDq6YcL8_CyW6ckWRBhPptxZtBovh7hwnF9FLMz9GUDwkB0-LCiw2ZC2YJFjoOojxxysA_qDTkwJPaXevHRCVvTLM56wj29IFckoM61ll6d96Bzkg3Sjwza7yPvcx9qo6Dr3cgKPnK17sW6KcVThDoCbCrloEfjn3D_9Scm-s-PugaVs1l7uJ23t1BjFpKQa3dekoTMHSdDl0UCJdCkhPiq4G3jWjNFscGSAcscJ0bQ7XWfJ6MDxVFD61GbTweKJAyrxfoRPMlbN7rau6Fhfv4J9n7alR3XFkRt49wexBACZ-HpF3jKcCZ-NlQMVrdS2JmMjmwSVF3yyJHVKgAlw1JSlFHnqRXRKn3gJEuNp28wxukLxZTkHCbfTGhVxUpZ95k8d7aNBFsmJLbqiL9_Em4avjTIRj6QtBKyXOFeRI1skhN6c_75_ssyK_N_PgHoLrJg4xOxyDfW8I1JPb5I0ggylKnFwaZxz-JGm-dQWUN5zKqd9hOMY17whiKu1mcOpUapSSW4wL4j-mCZFE5n8qWW77yeoHe6-v8boiHlDOQA_19B1WBsiVYhJQYrUW6ADcoFgVf8F-uICgfs3jo47SvErvrLabiJbs-FVcBszyDRIA0yRIKwhuo16Aq0Rn4XHen7IKfoE8H6-Kb2py7aoCT1K6eMTlk2EKQtMyogZyF4Mor5ZPGEeial6ts6EOyGhvCeT2VihFuj9SdtTX1Qy8iEoyGUG_5sZH4fXGSZ6QwLC4PfzUCMCQhCpzIIHW5Mhkua6iIavlXBl4fC94YA69Z2o60hXsPLTXT5y4D6i_sgoIZm3dmEX6-jDt7GctY_KArA206Lr0n-T0Z4qd5wOWMiF_bhF8Ucx7VoutLa4drRqpt8Hb3JkO-E54TB1p0jLSrwM8nmcCNNe_uIgL3GSLjMcAoUpFfyc-B0yLHeMra8b9WZjI1J71b15zPerL9b67p8XPKfBzaLNEhhwtbDv7-48tZKHfyS981-p8bbcyecbzEqHkqZzUOdfUPUu-QTfJKMjI7JS5Q12BbCGcAmUI_FjD4xIk9MGXf4Lyhlyx47k2PR3wzWKoa8l50HhE5iQ7RjHYf8R9UfVHTO3NudLzqG1FixE21jPYEkOQTCmdGyaFcPM_1amr-HfUsFteaoXKux7kSGxNPPvFUcO9ZsBifp5i9pG8fp2EpOTJ9OnBQ9jAOlntTLcgizuO5rp2LxRSwtIUrsshNlIdUYbLeFwPW8pAEy8fkZSdX0_jfSZd1N7FiCLU3CnK-UcI5GYaDYGXAllbZ6g32C5iJR-Wve0gXb_lPCoB5chv-XW-lU0GDODAzA01IBHKJHZsnMOt3KJl12NaHRXQ7XUHwIaQ8SdLmt2M0yD1hKZJoWeH-bZdukPVLVxABNg6i20LzyQfONT73emBy143IefeGO8OszjuPjL9WbulAzYceOWlosSvOccJl_U8J8F619V73m7g6WN4azEVI8XII27CN7Gh-xshMr_bFcKPav_fPduxo7T85LawbHLtnE1lOmVEaaH3z7rpVJ76LCEfKAq_rNXdEINCLjmUnPVEftdYCx7J3DibqDjVOGfyYHwR_LeetrgHDequtGuJb68xbLp1jJm0xLj7OxVmcb3L60xD4KOu_H_xLbVlXUNr5Xq3BY9N5EhP25G6pa1kE_4f5KXb-qjYmTMvctyBpKy9hcHjtuRdWe5wLBa0eVAzRRPDdO7JpDvWn1F52xBqvpzQ7J0gUhjjCD-90F3-mfwdyZa91D-ADlAFJWQvIYUsdUiSNRCcUQmYX8e1HAAGjYUFR1NB2RO8E1L2x6pqCKh1qlT-TxTco15TDAYde4A7suwQ49M7s95IbGe3DWURJmpVdqo-nwtb6CCbf_suz8iLCcLc7cr2tDZ0XqYudKCRNYkvDcgbtaoV_p--Y4oOYFPaSG-RTPV35mNhGDBtFBvxJ9pq5c8AFn5wnyJlH7WjD1l0wSgKA4nYOd0pdvmtdcmA_sYfklJsdgXcSmvWbgMe18IRUzu2Z2uouorLxm7ufHBy_GWS4ABChoOLrVeqN5pc9aruHXplmNg1JTqrKupa85OS5_iR92sTmUcXwZkIP85nPmxFqxqBvwL-RQjz8yMAGfiMRa6g4Cq2OxUDQx2F49PyFnrtMg4VzoFqQhO0ErkhGNM4FRzmjFvs39zh1l8psEJ0D1uU8yBMAevbdexa4rpgKbYcB7XbDMfzzcxN-6c5MFY5fFXqPLwnSo7CXtQkouRecmaDjKJ-_Kq1GF1JuK_XNw4KSciHKZPlBgtxfGLmtksPPRxaRSPfh4MWiIBK95OiMrs3dmPFSGBjkQD1ieKu-b2bIQArVQ_9gjvw9LezruZkLvCEUmbaVURtNO8UBy43HXLHwjeDAUQ0PamIcQnxg6XlrZ3FDC5v8lGuyyFuwpksAuVySmZsSZxCjnYoawzeM_MfF8MyjhCDrvOCPFT9GlD2KCPjNMDKHdh02TSsePrIdd1JALuhC2PHoV_ba4OYBFdUvsqWVdS-mvaXzbfpvAm6a2oV2r5CvzDa4TYDc6v1uFPh9LhFcDaaCt-Lf0uAMMCXfc_c7cntO_R1vORlWqh2Kf1FFJCuUHvmGCAyb4sSgRq0uFvJU61cV045OSeNzh2tNiOBOdkQANrps-se4xMBptB3Gth6pPFoOnTqdgqrMvFVJMSRyvkgPUzJ--Y4zp58HfzsCvOhZfAlPrH3yyjxiPW4wFVdKlcIPA1LLFG62kp3IWW5s38_u3TaCDwLJxvI2t1tPs9KLavXPOKej6RyxPozC067Q9n34xAqCdwGKHrbqwPMkjB2Ci-Tc3-r_d-_g_Ntf6oZ02IiXhK5gG0kOIv1ksAVKUeeipzvM0WHeSjO9Df-XSTAOHAjMBs9QamYXHzqhQVlPZCRKJ6euJiQxUj9r7bvu3a7ezvcYpYi7uOP0p1HFYZekzqAfWb37Yx4c085mpJVPV4r_iHU5nkJTkpdzu_wbPh4xyD1DpYnmFawBafJ316dez4p3n1Whb_1ufyBpdf-j2S3jum9xT_pnEiHnjp-b6hLzlc5W-h_pqNcZIEcRm0bZ-2JlNAKXongQ79jB2GvHVxRoqarHcXuGicEmq_n1kau4EHgzgfT6mIC1lUtBJ_zzyJl5_Ge-yDgehYttRU0oKqnA8cASRIOLMrAxxTKebtg3fetOtGVcj1trJ4gc33Ye0dylSoihQYpfOQW9n7cPnCCI6oWJjQ7ZJujcVoRMpDeeQcqPmlde2qN2_5eXZhQPBQZoDHlDsHUeRIo2PWy-C-W43gzemzIbsTsYlnxBe9XpPlw41xH5YJz09DjDb8otXL-wWrmN5fWRtzdLLtSRJdVUp5FJO8R5KifDtT-4LppYvwgSLbqXDxHVsAlrO1zWeBT7sTfCOuoJN5-jyYeylMzy_TlJb5vZq2nIghnCyXrQ3HPegCI7HxyLw7s7kuVhHTFCESf2LF_f0wt37pr1anFn8qWET1W6aosWGPdYmt59J5r7pSRBRVPTUvzhD-etRkDLTpu8znu9utNlS5FfywEPEZNAZPWC0gjVAGbGjjwRJ0lNksGpYl5w77qJiMSZHYehWaPtOfdkEFv-pnGmsOEuYi6Hif036IKVF5MHvzBSw5yam6RZ9hnj-zvNs6giUB84uwXWV3xqMMo_mj4YGcp84bNXmkFTz4UT506GYZA42wQ5bBJNccvSEU3imlmzUE0OSCemX1lZ9oy5FQ3GjqzVovq0cHLVNYkt00aG5dZekx9tSViMq9KwYTS-qC4YIUZ_g-qPJpedlQppOZTNGwSh6S6d7q9SOtPQHtMUAjc4vFKp8Q6qk5WNexlxm2NDmF1MGwh7JlNCIrLE4P1Lg-8ZlIdFPSwcct9pguL0zjj31Al6iy0NUPXwPAPidetosTv7X1EqPOBcPFSBNt5Qm_JMpaC8evMhn2BLA02FUPDlKrMt4wKujxqPIeSoqXoZ9VL9SQEObS9ua3vzTnsfqVsHwoALd__HZXOwWKGECzu9fBrChQZGrKpfFsFiJkqMhCdj7juWSTS8CBatHQ6GllnY9MadisnOFoGmY4ugEqfPI7DQIYRqe7ykxIBM3J_gwB3mcNAxF7SYLTIUX0CJ2tFajKweigLNM7mX3Oq4SvDD8jKVqwFCQRyM7jR6EgLUKKr1YISROj9HE3v4ubUaM3DmPOakHqaBXXyRafKwd4sUD1Ww-Pkfar6iTbvTys6_jol6RtKWT3KvsLqY_l-Bc3UOgPFIQG1zRsKVrarQHx0P3ooL52ElyvgIWnmFIhGKrmrfzTAhji8dc-zhJCmalnS274lqDE2MxmI425rnsTMKRY73yE367mBgN1I8_b3AHW9BotTM6XXKnC_-LBfKMFU_3xmMEmYIjzcXIGxnMHqzPQrkUi8WrfMy0-4ofrrrwu785pBKg9qv603sTilV_MAKh-A0sLkFyVpCHcaTmEka1Bv_0zlUjlTWWNCaO9WzKKJvoP5G-4IqZmt6H8xt6yoqktNqEW1p1Y5mQyvndFr6gZW21No_BBNJ7tm-p15fBoUrJTL2mM2O8ZYQ11yfUSmb0KAoBwZZuwhm2u0VeMjmPvUaVSEbGMTzQYc8EtFdrc9MTGaJtemRk7l5aIVtdBvYUjiBz2hctkDVEBIgou5maxXzEaxeF98mIPJHwRq7u0NgsTAUlQoU1w16-OJkIsHPhDL06ItBXjo2EPehzcle7wVUhdNzDN01z677IVN274me_FmGE_3gVvgVGFBrHACEQSzJ2SGi1QjSwxHwTDBzJWT8CirEzWmgstAJEOyGzgwyWQ6RDHl1arEPP2sTzDomUXvv-BvqxG7v9CAHyOaMIDtDJ2bz1fu2_NwtQW8XWpG81CK67RKpVoT8Ae6CHAYpxjhoTounuY5Uf06kUhwqbrIBItDRm64CaCa4fkRXDLaQTGl_41QuoNhR3_7ISf1uamCxuIoNGsDYA1BaDarUJljUaS3t_On86nfIIqfOcGAg1aoTYCMXuTKDcOiJ4fbOk7uy_jPuo2a-oZsvFW2eqar1gGP95giJ95GOAY4xKKtZh7l_7c8LwFr8cUXpJh0YrZXhudpFsH-SlAwzv9hrU0jrhctk2tFPtf3OSf4OXLD3Dj-7lBVZa1raQXKaXP_Zc6It7-3PXF3JCZfqn7BTrR3I549FanT2VXaCmMG0ZDTOKGou_5hnVkp44pAotIbCpJH5HYVWINvMDlR9Grik37YK89rJI6lEqsg1pmEQk7ipHL5kmeR4ElI5HsEMDoj3ekUFRUSI4DH4euXPuVImPqZGX8YZixn3bMrF8jVRDK9p0DpagTLz_oo8oNdoH7JgOcUSwQqMUffZDV2Q2nJ0jIpywiMKcJ_yZuqXLp7NR_TtshfURT6Y9l245hyeNCCh_aJ8V7UpqknHDADy8gBi-6DgkZvmPhd0wkwb_C_91wxB6Xj30rDTa5oi_SzHDmVXrShc5gtGG5sm60tl1eOQuFjIy6F_JUOw4VuAZZ1t_2M-0A6vatJd4ynxzF_uCBqMRZDdk92QModxnYiONlPXy_DbYqsJx-Af_U0Ml4caXejs8is1JIlUOQC5DB8YKyw4CHp4ARtjSVKkYfUcKRP_Q5cW465hufXLOfK65gvlxs_IQd1hyI3XW82yI4GV4WNmMzwl6mnSzTFjj1xXQDSQsndvh_SAWH11ZMAZTqEL2BtMp9nwFZypRexRTDKfhhCGUhrZrj8MgqL1Cc_XRWyEsbztmQtZME07z8qFCA0ajau6zak0nCksYDbI_TM6OeaU-chGD53cZvd7Ajn5Vkt4sn9Kn3VtrebSd_jSS_D8_HajwwSB7qipxSDOkw4SkwS4ccYo0DFDJGCwG_K6IeTCdiPyCgBCUZeQzjlCp30Ru0UfM9s00y4RkUgYQ-gaKpAvR80wrBvo7tTFptnYjvDRpzqsDvnBUryLtBgLbE07xGPrZaulVIaN_s2tAxJDN05ZQmJFDKwblX3RHoqbwjvOg8rVLU7Y5j7V2p6XOdfqJGpDh5r1-n58iDdxAvG1w0woMpAPMTq693c1MfW3NO3GEO3Qc6uQQu-PbY_Emea46rkmHDvgfb4XNiuSYfbYMfuijKZFSsZdXFCdhTlxEZjVkFIfIqStyd-3o5X6ynQ8HwOZ1-qJ5aIHMHvWjz94oNfLNcX_b4oPdXxltnWD_JmkNjSb6zb-1yGF_CcLaWqWLm6Y_Y4rBptoA2E0n-4-EJgDwM_8TF_7rzVJbPJaJa1FokUc5_nG_gIai3oZEtesNvqzrYoOO85Ypj0OFVGqgNJ2mZR5U6NZkzcluh4XmCsq_ILCrV-1BJo1G35A9YE7hkKMG9nSyaR5Hc9KwHtAUY-m6Ecv5EVHZ3-yYidqhjnT883aWEDM38XInIitZ1A3WMuXMLYJngfhvfxALZfFgNUlJRZSlyTmUA6hTAS0CzG7VJLA1vAU6bSEElJnX_YhVBnAjUYYa6_2MNGQBl3rgSvx9tozzxFKJPVrBnQkXIK4bcjG__2HM-l8BkXlUY0cESJVgPYsAk6qx1_IxomE0JpfZaZvOLfa3Ms4tJFnuKjVzuI6NbJRh4N3ZhTN57Q9bdEA0vctESQm4E61-l1hAkFyXx2LQiY22Xa-Ixpx7-zb1m67VngMsEACmvZ2zgRtmkyMoMjzydcgeL3bukUyGniwNXJxEnqZ_IIN0Li9dO5gcvfL2K7wQw-Dto_-OPROWWxmjvTVeQ6W1onOpI2zMyh-mF1B33FXDJVWyvCGMhXAlg_aylIYUnUfjOMVYYZ-AN1OgeyxORjdHNzcKQJS1wlLjatm5SLcuQqCPKsCu_lCZmjteT9Q53aeJM2NkPERxBaRceMfqVna6LfBHTodORN3G4buiQMwZy3AtF5c7VUXmq0B3QlawcIhHwM_uTh2NDeEyENKEUYiEpgfKWpaAKzE2VjKrZc2iAMD8EmfSeaoMyh7StD-LJjl5yugL49d6hH7ori8qwhtNKI22CoSZQ3DBXQEXpo5-WjWxf1W230Zde01qeib_3HlW6hqTBy9NsEJ6Veoh3yiVw9ikwmh2r7XFaDkZIudyLPH7rufV-M7LD2SBoBXAqEiJgUFLQMtP9Wtx9q95fQrt_ubUb_GTXulULnwPVtYBc_SL0L44fMWZMQiGJCEJ7uDKYec-c8Vnkv6o8GYUtyF0ucoBrEUyQfAM35VCfY-66ct79lcWxbk6sTHXLh1pudkvnhdQ3tWmpdoSDivPoTNaJirvwBOV2GgMUKLrZ5jCnd6e34P4le-N7ADZng8OSH7vCU9_DQFTPwRPjqeweD9Rp8Hv6fk-8w4SBZ0Tl5SANWKRtF7IeIzkFzrnz5hrgWbB3_sAOsSF6ycJpRKwhjT8Khae5Ounq120uKY4y1bGVG3uEw8vgNmjfFko145p1rX7uu3sFMTiPqmjD1ugX2g_1VcouG40GughcjQ6w8RVVLzDciwXlv2moorSkG9Zze3pD3zyFxB2t1tapofosfP_x2Yug8V7ReyQO9XTL7J4Ks2N5CxFWsTqEePkRaecfmmw1iwlDq0qDHUD3-GARTpVxq0KqdQwOOsvjmsoHJaDI6i7HzVp1kHm2Ak2oI4Hp2mPDwvAC38kRDM0Qa2NLgGZy5JhArGmt0NYpMUcVGHqp2wQ-TcVCUTB_iWSRq6UMkIGQKHoEYZEOJFTj1y21w74K_RSWA-e6IuWFbgMvK2777HhJtAu7Mb5wFBLnWALRI1OGvDhj2TS2Oh4SSchLOjgghzi3bgkiwiIoHrfR91hycT6k1oEDey1nU4fq0r5v9tZ9FdYKwjYwIFOpgFaMJJLlRmnGvirRxSm7Zid5_WZatwERAjiWVWIeuww-tYt1ViHmVk02MxX5X_WTeg8xsb2uFZOhIPubZrwNvrjDKaYOoxKWuqWht_RP74Q5hX3Yy_0cUhqzTKSb-6pN1wPg2I0t1N_rDlOJ7ndK9UkJtjUZddQmv-0bPUkOTSuUuzisDajdMesLCwhAef_aWuQuxtJ8dZB3lD7z4KgLEgYliTJTXmLuYTYqzUlmRw2_MXTjouJOjC09fxdpz1AwFzpiAV8o3Bd55seLkgArO3OnTzRR8aeM7BZ_5zytkhM9kBTnvgXY1eyJg9Evac4rUh8nXAilDmWCKVHf64uag-vNOT5vhGbsO8l_gieVzA-i-P_77NMzNGXFp5IQjefpA5VBb8sDVSTD_2zNN-tff6DxMlUWblLFLz-Ao9fjPhE_MF8FkhWPjGt3RRj42q7u8u2ecuItM3_jnR2-DHBMJZjUEnKZ9gJsEWhnMzzel4LGgBAha2QRtNOWEGgEzD5lERTNMLirPhe4W-TdnC-cc9AY0tixfuls9S3oKIDWNB4vr_zz2Qd1zI00GGMfNGakw4qWRvyi-JvlQsBA1bw86YJ1e_Gi9rcww_R01klrMeBfOUydIjUcx8Rqq-0B8Pp4-UVivGighns11ie2wJX-SDQvOWoqo5gI5Q-ZzUae8aFnTIL0W9Kbn58CtPoyVbFg7YFWoG_k-_hNIRjezriXzPsKV-59Ojc4GWvjzWZL_G6ZX2wxG-oigobXQE9BQJVFgSo_dDkZSTyyQVnbKdZ1vuG1ZZQJKZb3kykzyNx4Z8f3ieKvWaQxeeZmhbckDb0CJULW7kH_jR5tnzrLV5gm7OmAsqNNdGoAUBQRilwBJzxavsSdaLU90OWB31WR6P3u6VaeowasabxtX64uTtaBJE0qoTNv7dFPIumI30Ytf1qT4fVlcySGQT0yHJz_s3XFhR4U87xs3oSxSpdazW6048MJZ4Bw-3vhxC-iSBUAuw7gshiP0QCovydol3B-CG73yJp6ld7TqZJE-bYFUbixzZV-C_O7w3sv6b5VUjQfRucfAKr9zJFMn_cqH0nZ9IIMAVq5pamYMaEpubiRwOJ5-fSISLkLQXN500kaY6XI3-7EvPtwtrIGd6av4uB8HrDGZrZvhpSb0h_A-BQxqqLoOIRPIl56WCQ6CwMOqVEMumoqH61PV6DoC4X6nLqsNR_sdAul4QHN6Ml_vyQH777qTzemcISb82DJB2VgxzicBip4wEex3lA6F5QTg5WPiCvkmjkDwghIW92DfB0vl6b6lxdwPE_NuOkuG3S5XKrXjnoSP83VDMc8o1nJoxhD0-7ZX9oLmRNZfHP74ZwJXZRBftO-EdKvSRRmlquKkddD0B0MN37D160xFBw086vjZb8xKTXLfmbgvbq1KAxfUhqg8RmTeyjURfVbTD-KVbgd_GR-Wx3uU9qvpdiYJJLVFpJdiISRIKbS_nk9mG39OVrWChe_RbU_fDJE6Ewp2J9Ehqw7YJRfgI295hbK8N5W_NL-gRSZWgQYsQjgmG_mmnnMSTW7kZu1RZU6Gzi-VaQXOiHernXfDjBXhGmLBiGhy9cw3HTsfLKWLrcFcfzL6sl5C_A3HY9jHCHvAD7RjWOCG9zlSjZPx4yCO9-mxhtryuTxUWF25HV8XMajUJFqulxf6tZ0gwMcJ2bm3LwjC3URtGhMsZe2NsULLReh8JwBnv9G1cvSRVZdCoit1HaPweYSxqG3UjkzDie6LIK8rnJYhbvXGzRYTJPDkFpeQT-uXIY_YcJGS0fa38zTDtPLN_TzrcTdMWx8diGEwWqhRsm3mw0pkM-i3tSIRlQZcHs7-pE8uz1a_ifaZV3XSzyu-j-lz510nPSW5HVC_M5Oyt7lcIpIUQAKArDW3CeOtnMtyE298WWjAu7y3BslTj8adkMv1B9f_wyqEOVIN29URZFHn4jk1b5cVTTBRMon31Yy9OCyHeB4VVf-8CvPs87wHb846FZw4nDMbNC7g0v5NhPMXhurcaQbl3F4IvrT2klkzaAnYKuG5h_KXCA603hXvrlADofN2EvpKzjHqvxy274Lv4e2poOz6Pai9aPB55quw-8UyOSQVtsMoOrWtnfWOBlYZKlW6VCOQ2wM3D7SRO9B07B-pbJacim0NfV2CPrVaugDVI1ugwUAPxZs8N_c7afW_14QJwnpbFCXo5QQh4FPpw76-XKGn7GKu7c99j_s9qw-xIQtw1FpsTZdwoOa7PrCJq9S-9GEQibq2I6ykGLkBs3De0qIq3qBR5xaP9rlRWBHuHsYXgHz3Sn7Ct16TgQyZza8Uk5JDc4mFf9Qpu-HOwTShr0-jw55iHEnDpfiN2vE0xqYAnK8gAHmTOAzhxI3I-34ZoEX5q2hw8gvqa25zR3Va0-XnOcPrZCWsrOCci3lDHMLRdCIuWjg8jq3tdY77PVRg75K051qIZsLxqudaU2Tq5eOKQAbzC4o6lOf9k9wziZPINeFxG7BMAea5m5WzogkD4XgtaZz_9XUmhFgbLSkfIbzfTNYCyaE9yW7kzY7DY-TLsGjtayn1QkdigIjzY5grwyUfJUIqOhl0O_cVgk1pHEDCfX_GkHf5exKVR0KS7wy_EQslf1aDXgzGb0JusnorMJc5e_wmCjVZ0rFM5fKjRYLJg_4-p0KtlRhGhmrFdJApay089kgyB2LD-A3uDYGe_K1O21CdD5pRtK6bCp5mJWeEFAGWNl26eWNryXqYwQdQbw-UZdM-TMVLcAHm6FiaQVccZHWPbV5E8Wv9QqbSEKrMRRKKd4sBMybuq5eui8p5dnekD0o6RxPeMeq_UijHd3W4O4l16HZ_jqEtT41EjUxU5k3EfFw0dRt6LknKKcI76OWSJsguEqtxo1qEyAtNDBp5hIEIgMVeHyKE68iZAtHp0uyhnjStQ0HZil6tYL7ish2Npmg0XwMbEKjIBz8HY0X8Pk_SbPps4TGg7M75HilcFVRYF_YX5-gCMs9ZcieMk5LF9qjz-zBMKA5KMdK6_04HbDfodwdqzeg9YNZV_tP0dKKZe8rlg1EzV7QPGR2odk7-Jxswm2yYNPqH7paX1_LIikPzOGFn_lSWxfweKd7uMmCvbIjgVuYdVl2gILTLqHEQ5MZL_hExWZ41KOwbuohbC9ke-TW-TBKRF2BeUOaVWWxcMvG_ym8b7j_QgLT2G4kdIU6QpoW15o0ogyDwoySA8XXouIORiKduX8ULhIx-3f1pc2pL6rIMf-6b50rXrhOOh3lIxVtMZQxk2x0eQQGzuNrteI0GUCS6p3JHbKBgXNXPAiGp_mch3HSqkwm0IdVhuEc4qbN0ZJ4i3mqE7mVsIXvaiMsec9fdmyN42DLiq2wZ5jO0QsgRnkMlUrpZgEmLeHI7565eKdINlrtNPoYduFg_v-_5_N_dUaRFPni_3pi5SYid6Vb_Z9qTrtK0buSGHZ8gagHreRRgXlxyo1cZdMDUrLY45T0YkCuHG6BVn4yN7UwGiPkKe4wQvPoz31HVa8gh45T7V9qZg7FWia1im3pAbrJOTAvtsd1XDD0ihekhZCNJ7vkKs9FikFu_w_eOt4jUbz9mFf3PtULvyvHzzTZiKpNzBkfyd3MLvJzBAMRgwujs7MGXpdTlY7iI1EDze8B48fqcwKU_1eKMckq9e9PvofMeTq_rJmw1u_3SPgzrFamPpc0xDZYaKYXvOTcdTglgwwOnaKJFAqODxMA7LD5bNa_0DLRFCQgsvSPtFQ51Q-YgoAHrD4sG5kJGVVqlyXLBlbZWBcpDDL1wkkMO0pXhBCIws1D-URx3n-gAnQ_KR5JIpxgG5wMAxpTE3x4p3k88L2GK-YvTAALhU8_-uts9ANa6wF8_b1kRoVxnHR9Y-c5mRqvewDaVjeWYeFwU8QsehiNXuCdKwAMjybs2t39TeQcusFATwEBHnRAdlh0Xf_HIqAwMh938bPR4EfJ4agNuxiaYmJ5uKkynmGbAxx1QLnw2tBZveMl1X5lcWxxpJDPeJv3YCzrRYQYpctLMzMmQis1Yx1WxOHhMwDL066itlnm6IsSm5uY5_2y3wZk9cD9RLdvuT1VrRtK1vquNYEpwiwS80UKYGPHmUE3_mIw4PaW-1LoMPz7xazRjhjnTOP83fDfhMPK4uJjc63eNrewziho1_1cLAP0Rl01GYuuPlH7wMZwbLPJOzch8v41rbnWpZJ3Nf0DYroTUTK0Tn831qcRsJ4rdM9F2CMxdLUwDNyAlFsIxZiFd_UvrBxduwyEssJ10lcE37zbR8wOWTw1-rzQ_TPW2y28RQkyC96qWzxtOuqM2saUK_CAbunJ_5n326wZc-lqraHcfksJJPwWwlkNcbLrGmhQg-uoDG9Xxhqm83Ks8Rh4J_ZQbz_lgE0-r2yA7waIeIvOL-DtLLt0pMfnLpv-ybqIMFpojHK1Ve-D6QwOrcSvTog6ASKjhP4vnawAXZoctgZm07st7HP9wEBPaC_gckcERTdQcTCNp7clI-VSat9oUL5MhUqtbuHLpSM596wxAUt2sew9lW4t8Lb3bSROTPBPnKiiqfRq1MSItTIr4lAhvjZ0uUo0JLIR3tlIf8p5KZXb2TEGiSiwifRcJP0DGCDym5ITxL-432xGm3XzbMqeWCjoUByihD560oZVbMVOekQQzbbASEYQmxeMzsFdzYLCAYF-GTrlyX36vsJtOkmIoIxVzZjwx_0w8LC_Y_iqZHsFj3atbFsvK8B2yfNXesaW0W5B7UU15zzDJMxoeoYSN89a9cNC3wxiKZuA1HtZyri5WjqVrAPcKW9FzzJpbyhqCjAaVqQv_wKml1-Tem8cBdNG8igjV-k3qiMDbPEb7ocG03ITw-zZvAQpvO2c91zdCxyHo6EWVhLS9CkOJt7_vYQHzu55xuWM9MnuJX18lN_Hvchz9jqCOZoUHVzyyiEpZ-bvtXjs96hvI_bq4AgJiKXZtyeo4j1gJQPi4pO6zdrWYRlNpY-7ZzdKhRfcKWF_H0CaifOP-r92iFKWStXSSRUlmurns9XKb-QtKiHKikNI4WwsU2c5QCidWMMGaTdzQA5BGQHoQTJgBFyXmAyAz5pkBIFrdnpPdBA8sePCwi3K8gYBHx7YaRsnvYxh8mHvVKFhdpZAN5FyW1yTqwH1_p_SHAAqM0-pGAGZ1BfG7T4WRZ-JhT46heGyzhU5uvz0m_mhJiGTbfQTsdYkZYhkwzojq9btxvP_iOAfrhKRwc339_XA04nlpuDcFsOw0yEsgZFzsL4wbruZ3-wzTi0dvEq2H0eSQ3zHVb6nJdB_7S7bJ7Txo6Qd3REoJUgXfZs-oakzoAq7yl7DVJ13V8gGQo-IvZ2q7KqRsNu7NvKwYNB24VgfIUCMLdWS-1OY471ay3MULzbi9agiBbJyPrGZ-xicOBZw_EcPoLfWxlNStEE3Kg5WPheuQYqKrAsVY_S4kOgagHwghnmFBIBobUdn0o7Y6_zJRNdi3GNMzywt0ggxm4tpjZpq2U34XRX2XOE5yjqc-W1TtlEbzjNmM1gh11slOzzeL-iJZ8g00wek_vaIWN_ud0T6NccBDvNStUsbO_13lMr8d3wJ3UgGuHRfKiSM22fYlKwz4BqaFcjXdGeJxwQSbMc6yYeWDYi3kzk_IfFHUh0d6KuFUB7TXS_05Zju3UuN0HY0lRlZljc2HC0c_84c_uvuyW9TJccl_h8-x33QyQi2TjYFbP5-wC1Qcz0p9fasjTAEitL1lsoV0eesuRa6A8U78jlxCN-eknhSRFNeIcXopii05T9dKPwawX4GqcIE1PN1_hNfuZF01gUCDp8y1FcuqmzSiS9Z3w4czWKZKfVuR2gQnnSDkOXXSlnhmrXdNoQddnsiOv5peXudl0KGye_7rp4KVAHiLCi_ieXxWY_B0tRV9-cp2EQ0mP679l-Xbq8kAi1WHM_fmNHUeM6AdUqHN0Ic5w8ZvQyImFcjCNUKYW9nsiNA4vuB087Qp6Oi3gwMARseP15XfwDOpUwYzxWn75udjN1DpF-gki55ARFpG4obO4vz0-xrCcOMIxCEhNB1drLh7dUucNjLwUEHeR0R59WWsz41AiPSIPXCZ5PTrfnOGLOpiOF0VEfdRUWaXThjKEr0W92kp-08hRBGIdTkLMrw=="
}
]
},
{
"iteration": 4,
"event": "compile_proof",
"provider": "openrouter_primary",
"status": "failed",
"goals_remaining": null,
"timed_out": false,
"banned_tokens": [],
"proof_code": "have h : 3.13 \u2264 C := by\n library_search\nsimpa [ge_iff_le] 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": 28.893
},
{
"iteration": 5,
"provider": "openrouter_primary",
"finish_reason": "stop",
"response_id": "gen-1772076816-tdT15knMDBRfNwzKrgTf",
"api_elapsed_s": 98.134,
"usage": {
"prompt_tokens": 4406,
"completion_tokens": 5171,
"total_tokens": 9577,
"reasoning_tokens": 5058,
"cost_usd": 0.0744597
},
"openrouter_retries": 0,
"response_text_len": 316,
"used_tool_call": false,
"reasoning_text": "**Planning robust proof tactic****Crafting fallback tactic with multiple lemma attempts**",
"reasoning_details": [
{
"format": "openai-responses-v1",
"index": 0,
"type": "reasoning.summary",
"summary": "**Planning robust proof tactic****Crafting fallback tactic with multiple lemma attempts**"
},
{
"id": "rs_00e492c9319d7d6001699fbf10e57c81909a800c96af3dfbf4",
"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 \u2265 3.13 := by\n first\n | exact ma21\n | exact Ma21\n | exact mandache\n | exact mandache_lower\n | exact mandache_lower_bound\n | exact ma21_lower\n | exact ma21_lower_bound\n | exact lower_bound\n | exact Green19.ma21\n | exact Green19.mandache\n | exact green_19.ma21\n | exact green_19.mandache\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": 15.195
},
{
"iteration": 6,
"provider": "openrouter_primary",
"finish_reason": "stop",
"response_id": "gen-1772076929-ClIQDgzHptgDCPIdX4Ju",
"api_elapsed_s": 62.415,
"usage": {
"prompt_tokens": 5285,
"completion_tokens": 3506,
"total_tokens": 8791,
"reasoning_tokens": 3243,
"cost_usd": 0.05167995
},
"openrouter_retries": 0,
"response_text_len": 573,
"used_tool_call": false,
"reasoning_text": "**Crafting robust proof tactic**",
"reasoning_details": [
{
"format": "openai-responses-v1",
"index": 0,
"type": "reasoning.summary",
"summary": "**Crafting robust proof tactic**"
},
{
"id": "rs_00e492c9319d7d6001699fbf8237488190accf51b73c0c23c3",
"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 : 3.13 \u2264 C := by\n first\n | simpa [ge_iff_le] using (ma21 : C \u2265 3.13)\n | simpa using (ma21 : 3.13 \u2264 C)\n | simpa [ge_iff_le] using (Ma21 : C \u2265 3.13)\n | simpa using (Ma21 : 3.13 \u2264 C)\n | simpa [ge_iff_le] using (green_19.ma21 : C \u2265 3.13)\n | simpa using (green_19.ma21 : 3.13 \u2264 C)\n | simpa [ge_iff_le] using (Green19.ma21 : C \u2265 3.13)\n | simpa using (Green19.ma21 : 3.13 \u2264 C)\n | simpa [ge_iff_le] using (ma21_lower : C \u2265 3.13)\n | simpa using (ma21_lower : 3.13 \u2264 C)\n | simpa [ge_iff_le] using (mandache : C \u2265 3.13)\n | simpa using (mandache : 3.13 \u2264 C)\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": 15.217
},
{
"iteration": 6,
"event": "search_mathlib",
"query": "3.13 \u2264 C",
"results_count": 0
},
{
"iteration": 7,
"provider": "openrouter_primary",
"finish_reason": "stop",
"response_id": "gen-1772077032-R04ZJLvjTSEkGzOUS4jo",
"api_elapsed_s": 51.098,
"usage": {
"prompt_tokens": 7932,
"completion_tokens": 3102,
"total_tokens": 11034,
"reasoning_tokens": 2823,
"cost_usd": 0.045213
},
"openrouter_retries": 0,
"response_text_len": 829,
"used_tool_call": false,
"reasoning_text": "**Crafting robust contradiction proof**",
"reasoning_details": [
{
"format": "openai-responses-v1",
"index": 0,
"type": "reasoning.summary",
"summary": "**Crafting robust contradiction proof**"
},
{
"id": "rs_00e492c9319d7d6001699fbfe96f848190817951b83d0685f8",
"format": "openai-responses-v1",
"index": 0,
"type": "reasoning.encrypted",
"data": 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6qIsFRMQW2Ed0xtLQ1rr2tQoIu0vspg-93W9pZYKI1rZ-Yl5VeC_N01u0pCWMU8pDA-9pIBKlexWiGojHuWAeutagn--RbN1npoeeqCBimHu-0U81oh5KsHyAN6CMGzMdhq15RVSs5c3BzJPdFSCxOZSPza2-xRLWNtFfYC1KrT7njp5tzx--4IZl21fw8l_-WNWav8022kaU2-55jwTVghWn0VwrrbS-FG123PJLdtkUgyf5E1uFtdlhlcDgddq4wTSR9YkrL90WcHyS9vIDixm2ctqbXVfd_iSbsdVZlAfU_CqlqVgkr4SoCJirJgzQc61tGt4rCWng_zLmzoKjMIuchMYXaxNGo795AUcoC6okDBND5--Yo-3zl2lkExwp9pOANyyoqnoHqlVNlKB9qf7QHmuDrJdbwLU9DkdIqSER8YLhOHugDjd7HJ2d0UnJBXXL6Q0T1gUAm_4kGjGzxQ7SdnFHWUQL1srhjd_dsXMMCnN2_jbKkPpU-TIR6y8AI5OujB8AhEawlXrxZdDeiIV-mrab6xIEvtPgLFF7isli4khAgTVdi5hO44M6MBXq6cMZxiwWlVkJ5IhqG5kl5iD7JN6L9NfD9ov4ORi5xUX-t85PxyBBNWS2amdO1G_o7tnpnz_Oi_EGWHDVmxhxpeFKplxll9xmyHLhtBkXJQD4yg_tFXqHKj0MyUd49UZ9ppDbTxLUlnTdRCsjzAz5CLT8b8gRHV4lc7j36gTYnwo5DI0gJiC_JRX8W0Ky1fPIqvOB9ky7TWOScN7Md5cpEUhXdoN64aq9BQrA0sYZRcXDxbOGXWdNozfEGvS8r823Z0OJOt0J5Y7QTZzByra0zettBC1kndxMx5k5sNCDACh_hXfYspaz5AbU7Z53sY37toYOxOM0zM7GNi9Idbw1zB68cjH27sAPNhJ_M4ihx-GDh1l_PYOWANVfPX_NR0GQA8KNuMprzNShAhqnTKjSSH2kpE6xbZAeZRcOyZVhcSDHyc0SbWyuby-fPK77zrdJpaahwsu1wIP9EQvKirwrtOLr0DsbFu6ESQWnv-E6L6s96o5-mK0baKOAL3ZRI1V9nH-m_ewmBonE4ymxHxcBBqS-qpkKJjwj3nCXGYbhYWYdNQ8NjC7c2wUvhHDTY8LaFLx59zVwKfg8y4uVjApX2vsSwgd_hRPZ8XGG8ciZNzGojp3dSrsJv2E9hiM10aHgrvkgWT-SvSHIxgxi8yBGSG30Vo-R3fT9RIfe1L_kRPA_mjyqLCVK-F6NYZTWA58dIAj73ZRN1LTpt5d8hZ_KejwQansEK0Gh1W8NkrZBQGaq8pfAW2xg9SRcZ_a97IBp7StZ6__ixGVN7PFUBRIH54OoLSGj9D3b5sRbDIW2adxEM_A5K6XZUr9S9FczJEKg0X0jyjl3QGevwLb102gQIgZC88BWBHJzpWxuqyXVFWtSds76eRMj5UkUx5BfEfdfkxy4jweGWhWhheW2efFhLHkLLBxapwArvTf4t590Omwu9crPKejnKXTUBVMm7x6kU43E445UxQn01hI1yVgM4J-PcXNk67yEVdV3S0tyAYWo9L0Ls349fbPT7cQbW4j5vaD3QXie4UWTujG-tr3inzHcEtQbdvmO4F6WXpYOnLwcYHvONR-pwywZ6z713IpLE1PtQYSJSoAQRA8eUqnk_xvvzNSUraDwg1wWzEnk6ZB6MtHSckYe-WmxwbRRgK49NKlpzaSpgHv-XzapHxATnCqVXFyZK5sMOXGytVt2zODFzle09j6j9-FbTGfOxADCJyrOjP3AamrltEGmVQDq3FJ4s9h_FXUkZh_jQVHONreeCY9mvZi4DfajwYIZLkJKhCjOaQpKx45lG_QH5Re8PJhuBW_Ww3lHUzIHOe5-lRL_fH2UGzFV-ImtpWvkTKlmuk_7mQrj7mMrFCTUmv5p4_OhrFLj2uIsXv-FkfUN3xkL2vTDXA8OGZslDVtMu7BXQbnb4LkAOweD8z3pRcFNaOiHWDYokQfd54eC7zrZgMTjw-ux5GYkk3nRxyrfEE2KKSzw0i3pOeo1aY7Uoz4Hm-I7cPnzdgPKnWta5kttzcRgxuU-EFzuyV58FYNgFjrbYZjTMGiWTfrZMg4eaiL47x68AaB2E-Bb1LdgVpqKoLMClxV5QFNcI1IaNTNN81JdfUDCypAmSiYGj1vbFSdsqpZSfJ66BPdP9rfQKKIg9p75JNT4M5dszEFnP8h1O2pdz9Kf7IAhTZ6UfIZR2KVGDFyHcCw1omkzM0dz4CjSlrnG3bJT784XW3Z1xCmk_0af1AzIvGemwsF3OZ4vDCVZw_aA0Uwz3v8T-IDFb_E04fUJS44eCQqHBjmaWUiX_l1R4r7WP4114xWSxBuBg0akrMDq0WGBmgUmYsDkFqvepVTqVfdbi5gh_MnnJ1R6U2ZymTcsy91QZVSE9c7pFNCqfKaHQZwBz5v_oLP7q3d8dCMvBEAXWDEdtt4NgvwjweoDNCiV_gMK00pYPaTuSjdHFGsxcfG-gdd8txgaVArhWi3giUhigegp8P5DNhyXIKqbRYUxsdtX1-Eg3SPCpFhX0BenBpE5EtoPqM8n2-ZA5J1oNrwm3LtBdrFqD4DmrB47Vo5wTVhZJdZZkpQ14gRKflroyYzQEaBGRmivYRguOQHtOMBzel8pfR027lzE7ZqT3PbBMZ4NMkWg6kux0Cle7B6eun1aujkVX6C7DmkiC4M-S3w5zpZX5QdbrtRzGr53iAKBCy8FfrSiq9azssBMkXR5Qcf4WlN784CLGfgkRg6sPJ3Q_SXXOM2v-rKPPID_oKX_DEYDX3vMEXpzVax-tRIMwDkoiR9xh0wI3Vi7KUzA_MEChLY3b4yfE39hO0P-fvN7tCG4BT4JJ5dkSkgjxW37545V-BLFyJ4pTxQiu89rqL4sBDm4Xlg-4R6xJ2uvkqcB3OgBoE5FtyzZUq8mfh2pJxYMxkDB2GpbI-ZCek_N5-XMXuY4B4Kpbpjyu9xJeVtu4Njj7nQ5buit8u1UfPaw9KzJKIBLScRiJCqvyTRTIkAXU9gUfQhf0aV1ffMTFZay8396rwFk0U2-uCTkFB58LQvLShnH_X-T6FTgaWJ21TnCAR4OEzt9wFfua6jSH9mnAgyUU04uHKnsAd61OACC9MY8V1CpqOrPGUUsW5FP8bMHW97mIw48IppJnf3cgxjLbPcUPN4vcHEy7fnOge95clE7TB00AzksE6EUxEl5w3M7jh2WwPMhrAbW_N-_MRFUDx-Gkv4kXaSuPe33cvoUwRHqHFOJ9DuJ5Ykcys2Gb9znzwAtuT1TGltwmaM5HqZa5_wpUzBA-xi9dOS0_benavetBA_cR3RYp67_HqHnJAKBYcf1xKmnf41MamBsjW7oFbtA3W9D3wJeyunFfhyM6GLvh-56XCZ8WwKxb1wVOUUnywOKUI_57BdRPDLMPBDSey8k2RXxFTKgKhR3XXzDfHs08pyoJkoMpjjbamxRpiRPD28AJySts1cuQIE7364QspM-Bj6qv1f1OQYg0-FkT0Rx_GYMC7IFct0L-qiqoz0qshyZXxlqtkZxVcL8PpvLJ8NJ3sASQt404O48ptmZ6jGLihp1L94_GkxLdjF9x4oA_1AV-ZdqvunBftxDjUVzxaUGbhE0CKK6KTmkfIRUPFogBFNffYVo5cP4jsboebSXi37OupNx4Gsp_YRFw6YlAHOM5kgRMckFVjECX6Wxo1g3PsiP35aroVezmzOuK4dq8XpN4kXCFFQ8ez3joqCAPeFJonq_eJbJ9XVo85sW3_Do1fQcKlp4EpHybtNU_k6OEFpmkqmZE4TgJN2zlllgew9j274TFy1_TRvjEbswFxuBlVTgvoJic_tGTTSn97By-Rb5uqrzcSE6SmLmMqihshLcPpaFKMb5Swd9U0TynIgn_e0172WxMzEq0IMBJuQrxoPSCvZBTldhSdhVNRqtV2wSSNlej6fnTz8YOVGG8yWE981798JAO3AJiFC5yP9wCuxxz4JENCt1XoYedGUNS2VDF7M9AVDo_baOUImX2g3SH_S7d9FId3X38uRtYTbgHPiNTVEKQ0rBSeGDVJvje4XufY_Gt7BNvwhhJlX1B4VZgzZKiDnXKyk_XgNjbDCoUnlxW07GkCXQihEp8jqYwwVJrhF2YFtWTs5K7q8-QvjyVq1UQoLHniiBqLk7dqqRY0GdqT8ALHfdcpC0xDglMptpE9zMYnVfPTZ4eCVGVlmaMJbSBfObVe3FSb9HLDOWijWC-1I7I9W7vFFy4nPiupWrhbb-eYehW17qwAH2APTOICObAldXmxXZmSOD6ttHh_vjEJgwAKGpbZUcYS02_ZXMOnPPX9jOYBkxGEaV0RV-fpdBhYF0bmhOMYBNq_n3CzEYM7g2Sim99wgvLeslRacUBpYIzR0ZpFHKJ-oKM5A5Q49WJPI6s3f8QIkc0bx6MYG3NI65F70zkRiPhIwGQwW-z7jw6hYv7nDNhYC7zbBGdSi9G_yiasAEHR7lxjId-djYM6L67FsZFqqFYfqW4UxCyKqB1x3JWQ8IIgIoXF7kBxwp4hkNPzV1cbU47_LjfUAqYu8o46jzLgcPCld1geM3qEuQIbp7mkMfpEzODYwFWpaZFnvxpwc9CG18KkWYSJaoEULBDaXMp1j7Abzs_OhIg8W9Wlk1Jj2KD-u_jP_X5h9pMM1FaMmBagNSYeemkHnKgyljHUYTIIRXQk3m5XXun3TOZk5DeAybZX2gH_e6a2i31IJAaTxoX6_9FDBrRL2FQsi9mYP3JEB62jWqEkoMmQJtCA-t269k86-hAVIU_QurCIm_4evkQ53f9wzvjTZuMYNfQHNJmpuNxnvZrr3wfOOrCoy6MLhqPbAkC-9GpQkuPtEw7FgZSb5KOaMOkJbOJn8dQZXvfy8cfL8wvtM426LfN_4148JlLYR4aIbsMoLEKDIVTWVV3TJzOdQpVrqYr7nZrTGq6CVoDzWrfR0s-28R264JTI8tvPo1ydBN6A63KiX-VG9_7C9lrRpEg3pudcfSamzv1DndVS9FozGVmkqsciPSLPj6asalNs0XtcnzC6UNocD1L96nfJXfWWPjjBnYnFk1CqUG6eW0j4iaTWLmKnPLUA3DioVAyW-G9JodRvKJ9-9_hUUIiGihNOlaivYEa8liSNsrhaFeZTFHK9IXCM7ImZL78k6VXWLFx9EGGsFkNvvpSAXRzQOPPYnj8j2mBbhv471hD7bNs-mIRWo6QxL995aHBtTlBew8aMA9MtUNbmEkQkhBKoWbHTJzMu0lYjdks9Uy3K3vTNDPNwcOPVbJ4X1XTLX4sGP6SF0zy_VhkXpGxRE-lmLO4Gv86oGeRLun9my3Lmns8pVDkKPfCND5rcXBKrKlcPqJfugOSPcVr53Rc2wDUR4tZ6_-iEUAXBWl1bg2a-3QowFq07X4cRutiefMABDv_awKuWSPsa9XC8Ds-IHSoUvwSOsgXkOc5a8q5_y9kAFoO7-WL2SjMtnFwTVRH05-C7HA4N9x96GBRUWoPqOI8Q-vySKMD8XiFCSADTsCRxXiaxyLH2RAVVw62Mcp8s1hApoCic7K0Mahu4wy3rELBuWSBk2K5Ckp3VBCxW3S_P-DAyS4F8qOZXxos4WCxqIlmfDMY2h_a_d4vXblxIZX1CfaZfg6TR9sd9HpBdTOZuP-t_BwusxUex9oR2wYtO14pKeFQDXn-TaC0iw6qy-F-tPP1hwuGM0aDBMzoQKc1JoSnVIv-jzCXpC-eEovGi3Otdh51mpvNtk6YEOunqr-wheEOIwm2gg7rtF0AdraXB5RLY0zj2jZqpK-1xYDmfUPAgwoBta8cRrof5s1HtCOQtvQ81HiCGDkbN875r1JsaIu4DUtS3PJSBFQcdK2LlwswUw_pZVhDCOic-Ivcy1M6WWhkDTLAC0xxci4SyjbBAQ7BWpbJkBCRYUS1n4zUbTesVJf0VNZYwTtVnXub6xQtuuEw2IjH8cr3mzXe_Ih6exCR5O97XWxdqJjRPnpGchtc8ywSVc9dSxsvsiTmbHwEsT-5jE4zNOP6_nFcy2lCP1A_uaHOuJOh4lgWor9-c3ZcV-TPFDjUfnFYKC_qM5LOn24LlTxT3mEvUQscP5dhMKaS5hEowbCbBc2dVTqRH2eYIHQ7nKmkQaEm2mvpdcwEoTp0gHVIaw78U3gJnZTFNO9hYxNI5TOoHN7qpYwOchp_4DRC8-eZZqY4_4TxYWdoQvIixGHHv8HlnQbODy1DvSASaoOZ2CVvsaTG-K0MEiVX48qLlaaDhGvkcLaK3xYjvFV6VcC227HX3HdugvYXLfVFFezv6elJ5v19n_RmKhGTvjZFaukLs9tyIjqBbtMObXCP7YWms_iTy0YEr1M-Wlyk_3FRyMUO84KKuDZ5oF3VXwB2joGSjY_JuAqWFrNM9-mhLhFJs49t5lcUQ1Q9kLdkl_cweRT7D6L-BzJJUOjd7xuFoo_6MGU5Mr8hMckYyINb71odKunsJAvPfP7mNCSgADboijDa-uy-_8Q5wd76AcWyi-7i-B_mq5bXeux-PzKN_6huvdwi0jArcxa9lJKRCCaAuAUq9fc7orBcUExIfTkbA6czkrz_hkJ8mnFlDpt-ppVjnY68w0t9_AvITlgfMYKtbp9OAVGdTYq71RQH3EZGv_XA2PWz_R0VhuPD1aNFxfshhNyvdqY601ngvoAPMVER1SThZAfLyInBggHSphvCzzfjmA7RElJjUSTpZ846_X7n_vPGKZTEaDKdBs2wiYyJ6twBlMSo0bugTaDgwV3hJDo0VWMYOYMkyncscBO7LWCNVhZhzJw1VFeLU7DW_mheVFtJLyVTvy0CuH59XmFve4TxIJAcbgioYoTItFDjMxl52IQMxvlZuaPsqsCvAO-aStoiJIQQJ-JxwEk2hzqNWcJk42cvaCBP2YwLWuNGL-JtQXGu5uJyNPcdoTvJybwq4OPXEMa4lBe8QjCVDEB_f-spp5LcrS6DoYz4UUG948_RE7rOS7MQSxwSqnQerDK4uRE4_l1cXDRCzi55tFZKA02l-4dflKX5I7BBIiKFaq1M7B6ucFu648az4B-2yLex1fOMtGc0LJqHXRSup7Wh_v7nx3hDZco-AatYWYaqfqzJRBlrE0pFljbaS7wQyYpANPVeKlEYUtVX9fDjaXAYPO95vnzfVdt8LmvJ_xTPUBBeEWsmTpSq8NNGwg2oXN62wtl8JBnj6txUP4n-dUKgq5kqqXX7U7nXqpTtHsfFzASQ1QaQZ8FfbXjlmVoVer55eQ5AyppyPBVboaY1CVbmC40DtlXrmlxCDkkD3GqOmZMWj5NBNyL6-je30yTC_cybjx6o3QR3cd1UQCse5vQa2C7MaFZs9wmRcbFiu-Cl_2jkEzKQKGyBrDZTan7WWEEFss_3n4vqqdnt0CNTJ3keYiq3-TECHezIxEJ4Xj-XCZpW9Mk4ptvewRFV_G0gfVJE38IUMDYAacn1Nf8BuqDlZntMp-NwST5q0CDR9Z1ewN8I5yRZZRf9XCCbWyB-oRv-dUpCCDA5hBQTBlnKXwZ2IvBFDx7bng3zybDEtR8s6KnyG2hUMpS3noaFPOAy8PS6oREerlWHq9DmRtEgbWiKEKGPIzR_vH3ecIsQ-sHVAwyOLR0PWycxyp0QTGkIPGnV_nftZYEUUm80o1qEhCHd5P-PeEh53NsCREDQ7wPuoRndHnNEUbd26sl2YsXdYqXe7e-KcK-tzq1YfdMgzC--B4CrZd02Orby6OwcUIRGVia54ZOBIrWnj911EVStR-Nu6PPC2SA8mqroKcKa3jf7FAboqeJkJgNXS2dO_7E_WHDbbNrUvFq8HQUZ5lpcKKpr9KVnlEPCWpx8khodDEscyBmSikoM7IWDxRcNC0dWQVYvKjWymPkV2c-0ujb1EGrr0z-NwoWK0caO90fmaNz81NS_2lFsIxSMJanaZ58MV3XdAUNa1XV-CzfKSYuxAZnnplOxosaF1lznoFz9YcISSKYztU1ctzAgGh_Y1a19kvH6SI-qnPjibJ9LX4KCbjkx5mxth0JJ8KErl3iIiHVuOn_p9_a2GeBhzNjeG-PesvpMnVTd5JOmdkRSq_w2fDD22R6rlKs2qnNAbG8MICSgvmL2eVvStmQWtT54ALZ12nCWJLMDixkWTVbhRi19fJ-Xd0gKa5BvTG3HmXBd2fKV38jMXJi90BpimPdMzDzwgNxvZB3MOL-RtYXzZ2LfT_LjrAyhR5L3_Rk94wzUNm2cbpZbklqvgfPf35lqRAzrFQubvN7YduADBPvdvLQie9c8mgCCw1cw9UNiJgDMVDw7clycwVhgzFkkXXSF7bgULLMes6vpBre8rpcCDzB5JFuKsO923kDBmlwUOsnSKCdhJrLwr73aHAoZ9nIZJN4GYU-fxHwWxOJSUuT8RpUfK5zeT5q9nWlgpOezjVYCOjzZmG4AEPB43QlCBSQLweiXt-uRibz-yEbNjDRT9Xp5OvilUvxe2N1sIkCh42LUfbEbyD2O_5ecCL8HgCru0cIWqDbJM2dWsF_dHiFPvGncC1nj0qN4P8236LlKCaywdpxmh9poS08FNg4R4n-SjDJf_4vvKqW-vKnsWulVDLLvDvd-xOrBfF8nE-ef1cXhkm_bVrtLJdf_2OHYa1t6EmRJZXvh6f-AIZk1W1teazwgCf78bOmp5SeLH05pdOSwkbMF2Workst4GeWklqsr1kbjuEA25YUBb2YfbDd9-waAGvmMNcJFnghFT3jvidE7B7M1GM9DvhuGAc7y0qR-QRDZKljHFMh3Z0h4Lq7Lku1xbJz4misA7cUREnPeJz7i8nNHqV_lNYHinIHud6XI1q2J6xpECO6ImVsbkKWw-fzEGQQ0NRzq3sn_jrqJonqR6JhzGyFB_G2xO3D7qt6Qxfd3gCreqlI0eoi4NAwAE0k5M-TwNErn2grOiGnn0ucYdrQAR0ES0X41W8reqyPVoXpZ7vz1TScVKlH74GhVc_mCPRpLRVLqjUsKM3bqgCRnR4cyaNPIrVZvDtXnUB8qy9OTkRI20fZlXIY_w4hOoFYW6yx4ofUocSaKBYRRGQ5RgxVgRwLOoHsY9P1jpYchJS-ia5BZzI3fatIu8pag9x10DHD-ij3wiV19yBJM923tmLbf1bek-bMYr9d_-j30QqKXR_D0nqaifzd-Ne_D24L8i4ipYa_fHokJV14nGp1DlqeiKE-wk4-5fn3agRr689JqC4Z9QCXZBWHFzD64ZSxPODzalWvyB78bx3I0rT0rpM7DDGXeUDd9_FbglmKEtl2emg4_ogKWKQFAIo0f5J-3ojiPbU1jUbkYmOjGcnDeugN_a5KBxwDBZ4I4cW_MJlftyUCNMCVnftM2VtXNMyggpZW6yD3B6WnlSnQI882tQdccKchUa5E9IPtgk76tB_uqWRa2jXpe4LEfcrJwN_6Zt6bEX7Jzl7Acs1Pcd5Sl8qF-DpKWXhr3plARrSMwbWZa7Bmd_NgDTQdgYFWR7l--NywwZM3eBhnfUsamU2qrhmJR3K2iHd-EkBgHF81qjhssxh8K_0hz-AGwKg4VmuVBm5reQrE2_jkQin5FqbMhrfim88E2keGQFyix_wQoAsmHyKGehWNBKL1N-PmlQLaPdtDQPyaO4Nkp4hojEEXTRoq86DY48_ut3kmrai7F0-s5IcoZBhxnXZ8Ezg00akgBlC7WBVa_Hx45lnALTosChdyg6yknvfUhPiCgBlsgtZmtiQg8QR-hnVEDub2sf6po5vrlDKTQ9tZ3gAEzO7oF2gyoOvYAjV_dhr1SOAax4nSKqMZYG8VzRkKpqe30B5lSrlq_J63mUy3Zs9ShvW3z1WSfDGij99DkTG5mPJywfRBwkiReYuKXH4kmKNYIY7G1gvEFD4yiYedL1zpcEaaI3mn4F4U1Kc2f2MCbSaJmezn0c8k3hoILi8KE6VX6-Mk1BQcP2GUB50SpnpYoL018rMd9erGvQ4udigH15HPQudyY3KnsRfbGOxkN4x2uJvhP1aRzocPSHgEWruOLxhAzZbgX3rP5vgUCGxLtzzERzPK99AfC3IK7JQBn1cA0RrR8HSRXMOuyDevm_8MBgNlnMKwL6gIU1uF_zgrU7Ez9wvzmvmsjx_MNJ1mNg0vyi2E7k3f8aFlmlX90E-o0pHrT7nJhxU32E7m4IU7YPu-7cXMBKnZAnkwCISBt-uhbbsGDN2Wlc7tdcgprg2Oe1hULgS9skhGbVErTF3IS6e0iImGBEkUT4nthqGyr2ARvBnhSptEEiv3dMWT0YJoGzz3Ba26eBIGecJC6vrdOz3_Q7uf_TFz9qUWCGRHK2hsmulwQqFkLwxsx_lYTdXsdasFC7i7C9UXLskC9WErKRFDrbvXsCieGiRvJ9nC3gFv9OCVL1JnzcsmjbqigZX4RodeJFlkE_vM8HhxZ6phjEBpIEcpCcdtb05Z60ttl_aMJJFWZuy8NZ6WvI80OqgT_Ff2XsbJMq_n7zXu7NvMYdUixFQxRuXnrCQpA2Tqk7vQLWvYdLksHrNoJbdMGYZiNYBQTdnxa6q4mVMUVlFdeeiS9NlWSNsIWO6RZkwBJxVdxC5Eluv8imaKkyJ-IXWz-OpaF2KSz9Lv0JyH4wECS7bTNsix-qzaSTo__qxM0m_hcWgiQ47vR27UAuRxGADZAGhnKA5DByOurBKtq3T4AtAFn1Rz_BlmzxQkhDMeTY-6VsgGQqKq3gCliOFcK-z7DNUqhMUAXFsy3I5EQBRDMuKbAg0R0uCOuDF4J2evZOgfvK3tyM_SS3hRRbtVv6bhCg6Ik7dILfB69HqWW11Z8FK4i0gyeOhOdO2RG9EqLrupQMQ-9sxG1J3oGkK0C5y7sTJ2wIhF088ZYGJ_kY6D3U7ecKuFv3x3nrneN70caRuOCM6DxR1XpGe85jXFhxENOxfJft9_Nk-2GTM_K9-5tf2jyEJRC4mxNuFp09bKljqtkGH1"
}
]
},
{
"iteration": 7,
"event": "compile_proof",
"provider": "openrouter_primary",
"status": "failed",
"goals_remaining": null,
"timed_out": false,
"banned_tokens": [],
"proof_code": "by_contra hneg\nhave hMa21 : C \u2265 3.13 := by\n first\n | exact ma21\n | exact Ma21\n | exact ma21_lower\n | exact ma21_lower_bound\n | exact ma21.lower\n | exact Ma21.lower\n | exact mandache\n | exact mandache_lower\n | exact mandache_lower_bound\n | exact Mandache.lower\n | exact lower_bound\n | exact lower_bound_ma21\n | exact ma21_bound\n | exact Green19.ma21\n | exact Green19.Ma21\n | exact Green19.ma21_lower\n | exact Green19.ma21_lower_bound\n | exact Green19.ma21.lower\n | exact Green19.mandache\n | exact Green19.mandache_lower\n | exact Green19.Mandache.lower\n | exact green_19.ma21\n | exact green_19.Ma21\n | exact green_19.ma21_lower\n | exact green_19.ma21_lower_bound\n | exact green_19.ma21.lower\n | exact green_19.mandache\n | exact green_19.mandache_lower\n | exact green_19.Mandache.lower\nexact hneg hMa21",
"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": 15.237
},
{
"iteration": 8,
"provider": "openrouter_primary",
"finish_reason": "stop",
"response_id": "gen-1772077099-SzNyueZw9nejKKpB6VSO",
"api_elapsed_s": 36.353,
"usage": {
"prompt_tokens": 7945,
"completion_tokens": 2059,
"total_tokens": 10004,
"reasoning_tokens": 2017,
"cost_usd": 0.04272975
},
"openrouter_retries": 0,
"response_text_len": 82,
"used_tool_call": false,
"reasoning_text": "**Crafting robust tactic body**",
"reasoning_details": [
{
"format": "openai-responses-v1",
"index": 0,
"type": "reasoning.summary",
"summary": "**Crafting robust tactic body**"
},
{
"id": "rs_00e492c9319d7d6001699fc02c00088190bd7bc09deabde801",
"format": "openai-responses-v1",
"index": 0,
"type": "reasoning.encrypted",
"data": 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lcyUl4wLFPU7DOBjCeKRiqqLopHkwC5qguMHP2dsTlRXzIVIkVv2oUFhsWnbnmeoSiKILnCxY2eheuIvUsOHlANWnsfDBlZYjRCxeBNth2vPaP7rQndBpQeYowDZvU8re9oNtEdHYAXw_pR0Z2JSoSOa4COvkCPM7B4IT881Q_n3VpD2qHqw0IoGnPvOYRMUVKN3UOX3tNozJ5l_oZl6joadjqXcz7fPOhKSEIpvYq3tzraMmJ0GuQrfkRay8jUl0KFGNur0ffYThlbnzyIw3ozAs2OGA1uvYpvlOPpiOUnPMLdJuklPlvSO4biwL9PN7BZwpA9OvtAG4udW5erArygveY05kROdBZOA13bWjwJ8T2PCzMA_q1D7SFx73YzyEuXE25eu_r4LsvGsWBCPf22-GAfhX8CgU6KtM5TQLlSrtNe_jGAYPmVWxDslS0ibjlbF9em_JQnczODCpfzq9rs1sg5FnTRIJwtgJ9kpGlkvzm3dlb9VKGGzFtaYpVMCWNK0yhTrIbtsL2fDXFAHwnHj59bEtnIhnWzIUpN-h8TEobP4_aBwUuOXS4OeO3dvrL-h0CaypilhoBeLO5ggj4uCrsf1nCYYXonwRyWMEeFN7yaVx8b_9NjXRnL1Krx7SgzhDEjTiApIu92wfpVrwAjcs4wdGnQBDSbtuV_i2ziPSll_4eD0GSWoiRjEqr04WEj8hOpMRNVtp0IZsnkIuKNqQkv33crE3_WhMKzabQfYRnFXVhpXFVv9a3rpSF2jO-PYrPN_Cn_gRgTK6FuOOquGYm0zsI3vBh-PO8czhkNMnM19JVzKapkwPA6Rn9KEnqBl7dj0eCbbWpO4T7LytDnbvXCc1X776S1j3rC6ceRi_EI55qwZBbH8Wdz-chdQua0HhLKVSD07yHNH95g7hQmlXTe-jMEr4AVuTPUsUOPUTu0FaT64OfGStrxT4LXIW6uPmZHtmocXFfoQogzS-xZtjCcjZgf-pKVBzMLVT1pXCv0PIN1QlDhDEpdF4TNznn3M1ZnfsbBSXCxn7JgFz4mJQzUbOgD9_lqIwCU69zTo4AwELhdzcA3qDGhf81Vz_gyp5u4UZ8T9n4OjFq14RR_r-rAGvfu-JJXZSkfvNoPz6vCfVlAoaJ7h-zZQ68a0YYbRmkvnipdmuynMPZfDYgDyjkYqN58YfQDn4MuRZeXW9XKN2cubYSuCsbsdDEqD3oc8Igboz1Un4wIjwbdQ1uHeHftV586eC5zdGPvSNLxTr-cCy_bx_LmEqB8sEhHwSfbMYckw9fDCvstOmZ2IzzkDcixMzaq8tLDmSKrWdPQTHlou2tkdlxqhhhwq78cN_b8YnWm6slaNwcRZGygKrYgq_5M1Ql9xy1Bf2GEk0sIhun1y3zaOQbqO6-fzenDi4GIbYLfQsif8-X4qjlzwb_tT1_f9ZM8E7-X2UajzYBv6RuxjBClEx5DK2EWoL7Tij0aWzgelXCiS-Apbn3_EWjWgsNV9vZD8g1bd7EA91QSVUDMHbAdBUXazHXx8YUuvQlGvHyK4FP54Xly15bSbcL-8EyVrHtdZmmzLk48n9JB9XLouSp3UoZw0efLNaM0qSrPeaLlr2tcxHzurmYY95ReTwyGoqEIaO8V2uloGYOZPFOZmypPIVJZy9fhL7-jOQLCXdS2yiriVJyikf2eWw2CXJ_HQFQRFCy4khp2Z5Kue-CQZA18N3iyFSDrpNtp8D3fafmmmopnyPFrGWJvloSae1XS65Op2p_QGpyLB0Cthv1bGpm0ngV_ORY_-O02hTENYvZGU5f9T-eYxpcIzVdgoOBoeLpOVdG_I5jS8_q6L47GstH3xp7yPib05fpfEcC6dWJf2hPFzoIkRUVBED2l5cIRVu8GcnnArCsjX2kjfOq6ZBa4h2b7XMgSLX_weBylMWeG9lxnapOjSCdKd1OEzmx-DfwAruuUZoAEx-I0JR8GD4nACTP_HdX0QC-KnY9Wl6dWoKCIfUvHhucZipeS-58fPP0qF6PysaCWtbJMLstL2KPfcQYRWHzXHvCj2jKaotEH_d5QEV5BegwpmAqGJ7e2W8CpZtjH4dtjfJ6LlB_FnHKPwkDcNkBk8fNh3W14KG3MWB7ATPS-YgMOvSJve3rtvBnITNS6VySgx-MJ55PmmLaJOGTFsq4xPxUOSMpNs1Ywo96EKW2WB_nVQBvUmnFZHZVUdB3nWo4LuKYn91Gs1Bna3V9ZI1biUg0psP2A90CwytsS_Y_WhmEpmxypLi8bVovYZ3q3a__6g9wLug0pXiHzQGxLY_NsvYnlLpYUfo2ZE4UVM-yC2NoDev4jGewbk1fLct1dq8-BnjcOpAOyM3W8_4eqhAZYSysmh4D-pRaxaDb6a_0pI7J64tTYIgGurtzjVR2wX971jgtmtOq9dxqJFkA2TszIfwzwpx6sea0jSg-BFw68fLpE664-fwyhKcf8iEjGahyiRxyIDqHVv1t_sXXrQJJ3a-qdiq1wzo8v7x9mfBiTX05yEeZuyD0z8EzUrI0i24m-PYj7AdyGzFjo0Wt2fxrJOt088AajsRzjDN_nh-rsJUq09RFohdeGELUeOwaNt1saONTtQ-ym_K6wttl0eMx59tosI1wVIHEy-6v35Rcvcdgx2kzmQvSydb_ZuM8WW8X6UNfqhj7MrjvPl5n0TpxYQeqJte9l-jfXumpPzvCZiN-ODVSc5XMQrKertZ8X8sV47KCZIeCUiiRwByl5lYP7-Nh06cp2mtT1lzhi2-gVydqBigXCsqD2_RnY0s2wwytA4j10s3TFu2AE6yi5vwnFVrAKg6rtzAoZZ72QztZeEEDv64LTh0pFAGsGEoPZvCNTmwdUwIdzkxOvu3Fjr7WKvFgG8lOOohTrur-SJncjOfwgZNCLau-U3kZmmfDUGgt2LeTkpPHtwhkMWR7Yvee958A7AlSVy3l0ZcZpaFpm6Drkxyufp4I6LDcs9UTeEWuFNiiSu6OCLzAhbyEuzk3kfwMVoDUZ_eUC6g7fwhKMa5IzKQp9CYkrLeuwMyO7jgxCeIK3t9jszT4yQy3pvu4VKUqujigvLFKXltGW_2uNno8Ve48kyMPYhVjX-nDndqyILt0rnDJfmdb28hECuKqABehaIf7qTSej5ghTL1uWAe0RR5Ymrcbs8BuSIMrrNcPGLOQPhdCHCPWZJ2N5gt1MLXHt41rlhMF0a3IMS1ldOM0fVWrieIy1aaoJ2AUPi_w2g34iLEtTn3q70o2Dg6vtwrFFALHkNu5ZIGzuRA4KeL33L-61hMDg9-BdXBeIzY1D2SOaCYwt5Ya5CyMrrbvFKsbZ6jAXl73IGLQhifCs3LuIIJTpqnLLBLSAxGDOaGNv5nYv0Zm6aHcgNqXSaGTg39jXHAlRjIMBRU0qTB9En5uicde_OhDOPghOIF2ncMtO01sc2_BjgnbcEN_6WeQz35lmsYPPaa0khCfZcdt_5e6KmjIRa0uaLDf5OLMI5YZ6QbaGG6xKs5U4tDXPdpzBuZVRxONSkAi8AvQnza1eFJ8x8gXI33i5uGZs81D80UVPIZYIHp33k1E0yXB4bIq7Ig2Jp8txi_2UC38xsb0_XReLvRwkVljg5gsgquPrUTrp1wyb4hTIrFDZ5O9KlCoXehA7qyVPcmlSUdJplk1902XhWYDVZQycvk6JswqV3oy_dukWBBg8-0i8UKVEpHIDED1ynHPIUKRdJdHfiiHwuJIqE_TUbpS9wTOORna6e4sjUyFvRxyJ-bZsJS6H4sMlBZpAOXhTZQtggCYGQ8myfxUnJyIhySIzB3Y2JIIXHXv0jw7zupunmBJG7Tne9gKXlq_ePwhZXQDe265xpkFJURnMo4U8shbJ9_Mi-NtvrAdOC6RPO4beaTMdzCQpYXFOREkYwL7vdII6N-LEGcgsTUjZE2D7jVYAMNYIR_15jCMBQSVqV6Weu30rl5Mbr3YIETIwarumEVqNGDKyPJHn2DusHTTPHR6PmFE2WELBD5cvdrdHreH-9Sz7DuRl6_WP28sghNmPpEJdQ4ERbpuxg-hXgLq6LH3K_7280BINJ2hP8emFm2u3-uZyIGw2hZf1ERFceFSMK8tI-T_5FnClbWdSqZEsZmTCjej7wz6ZsLeojWCUrWQ1vDZOmBq9vK6MszpbIIQ20VYHaZk0bDlBgIb0KTWhCK-k9Sj7ruHAgqUN4JU251ZFizR44o6E79toreifHGj2_HyEtXzpE2EVKTFisEuUwLC7L2PtLvkNjGl3mWkK84zcdy9LnroVMkbPOqFw43q_C5Dl-ea8SXNNM3xXyDMP7tjSIIuiV7HMQshnnQBwRA1p9get6KauTsx4oSvI6lNLATx-mindGDsfQuzwvaOoW3zBKBDF-7dqUNgdl0PF1V_n-vIs75I8_3LyUDU4p2VwSyIIVRKOE-0fnnEHp3s6ALUEWbsFIjJGQsX-CKZh7zgEwtY3w8mO3R1AN-T_l-bS5QnIzKpD4PUF6GoWVdGAcO3xSmnoZWrL1WYzAjMOYTas8F5qp1ftwszpbS1zWHg9DOSzITPF6aYFkl8sS9lU3F-WQoZpmULNq7CQDAAaJ1ifZLHgNeAY-MuU8qTLF7TGnGtVMFuZSsuKYjM1cuq7fxVEATYiwyBEXQcgGJen0I3xfMNVdWM1qklBY4oti_hbRQfTOuQdLaxEA5LYih7auxNii-0zYa7odgbLE4YYvVbfMEzEQ-YH0fvhem0rPq0yk4x1cCwxIZfaTVb_pwCGI0h1tPyvEQycoRBxLoLEmIm3YT_gAYxWo6N6HXOHWP98ii4OxxSrLBfSzipeCashOopO9H9ntI-ov4PJrkFfi9yyO5pIv86S3S_yLbVdPSe309dPHhsVwLQvWNI5A9yoYu4lD5g62twcOJU7yFLdJo7cBCetv-SkK-rcJm7c-uW8awnpMS4Y1vemaR9aTz6Nc7-KCRURlG0STHslS710s69s9bc-1FB9IIurhpwGpgVLKlnxTDTA7rav7GlH8zCVRRF8ANvHgkiGe4yKiA9j21t8rshOLtOXZOi05nCbdVnQb9cf2PvyH4uBJWdUp5GPQBC33xu914FX1eiFP5wl9DJGlQmI286kv_oVhhRACqJiABpoisvddm0M0C5kG43q8_eNezM9kuk8Mxfj1JsBLjIiuMxDUklHZDRR-m661IAXPa5JQfDNL6Axu2URZ7svxa34hoGSlRc5Tmk0sJSBZlXANiDa1ZtwZO3U3CjdsEMPjNbtNLD8XCyBUzvzcwIJ6yJNvcve896DRcORBjqR49JR_guUwBifAcIEcqocwoEqYrel7ZPib2ufmCh1-PetGdyBWTlOOKI6fkf8LDu4839L5Uq7P8U23v2peFlpERwmrDzwfveWkUHPc57-We1jBPhK6W_wEBxPWIHN32nvMAQG8NJdCJN4CmEHZhplYIsDrjo-SAsPha8RRQpfBuJaO5YWCNE0DpkxyjSFm9sC3dut05gpa3dnd2MxNVwXa8GOipX6cJJvdUXbOa64zPXvnOdkgsY9arF_yfovBevG1ljS8-WW9RTfc97v3KEhYq0VNMhDKJFj2Xz_ioo3i9B9vk-HdSxyqW1yEC0H3IlJi84k_hMs1Zdx1glVPKNOSc-rgEiREPhjNkM7e1SoC3ujCpMaMJcxF57xHelyFEubE-lTzQhVY5cmCpOGouMsIdk4pcIMpF1s-WIsVxsgqXscafXCMNFnVahRIoLQbFzIfCCY3zwAp1ZAR_HUAd6rMGXwtq0yHEbkSVUekVIPYIAyAl0KYUXEluoutbyCbqGGVXwpn5zGy1zXgxPxES_9E8f5YAn1tBtbtAQrTzJyP2vbNfS-Cwk_6WYy4Cx_Jvp1yCAkuOe5JgTsSGx6kA1hWhSrlukDk73TUHNHGo9Zrf1V6e6qVUeIPy9WW3KKVqhbUNM80KTMjEF_KAIL88XT0UIhecQJj-VnHDDO0VD__GncjVCxVa0FSN-jrCtlwAgC_2JCZzeHCnNVQMI0cgQhkN-PIWgPsYw51Mkm_DlC1hbWXxdS61wMcXyiq1CRYWpjlGviZUaPaR7Qnqtlel5r3WNcfSuVAN3tXDYvKYmBR-j2bDVHp4wcowuuJyoCvJNKyD_KDib96iu_ppmVr6VKOarp6eVCKY6eb1bzo8Dn_LAAhvdz0Wt3d5fB7CuJFC_BomY8l00YoDJySMKU8GJEPZ_fl18WLAKhqBXNPViyhHtRb4txMP7bAes3cfKjGAT60QpG8PvVbGf-9m5VFbK3AWb5yR3N2MG_DdppV7-c2Hq-qjcByzai7JP8U2zj5D-VcdgzFhh19-VtXA2e_agYRj9_AFP0kuCv4Jc3N--J_cEMr_B6On2XW8eOrN_Lys2z-hgnA_0JDQqUuqnAJhFo_GQcjfUA_mkxY93aFaUi72X0tjfGW4icw4eiPr6fWbof2ZOLaNX98ae62_B8-aa_2ozUqb5fsLzuvI-vFmf28943hfaI-DTl0-RZOVx28_-M0qnU5ZSsznEvHh-nqQ-yCWHTfgSTM9xsDuL2Gg_NMhCzOixGy84dW4Yy6F-prixQds6Xe4WvPqFcjRVOlaKd_3mjICptQ3Aj6TLoODVqg5oj7EvADZ4Iuwhoz2luXlBVAMhr2Y5I06w86wR46uvB8cPc-K2jCj_BPs0qUnFf3dJpp1guOFVF6Q_JgluQCMH_bEsHWUw64A1JcxmC0aLHqeYOhSkNObN8XwF1qUxto7tDnCqu-mi5RQ0NGCoTgVeMEYabc="
}
]
},
{
"iteration": 8,
"event": "compile_proof",
"provider": "openrouter_primary",
"status": "failed",
"goals_remaining": null,
"timed_out": false,
"banned_tokens": [],
"proof_code": "have h : 3.13 \u2264 C := by\n simpa [ge_iff_le] using (ma21)\nsimpa [ge_iff_le] 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": 15.171
},
{
"iteration": 9,
"provider": "openrouter_primary",
"finish_reason": "stop",
"response_id": "gen-1772077150-NnxYdKoIg8N7cTJpKKjJ",
"api_elapsed_s": 26.929,
"usage": {
"prompt_tokens": 8877,
"completion_tokens": 1517,
"total_tokens": 10394,
"reasoning_tokens": 1488,
"cost_usd": 0.02447515
},
"openrouter_retries": 0,
"response_text_len": 52,
"used_tool_call": false,
"reasoning_text": "**Providing minimal decomposed proof**",
"reasoning_details": [
{
"format": "openai-responses-v1",
"index": 0,
"type": "reasoning.summary",
"summary": "**Providing minimal decomposed proof**"
},
{
"id": "rs_00e492c9319d7d6001699fc05f8740819080c2888787fae013",
"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": "have hMa21 : C \u2265 3.13 := by\n exact ma21\nexact hMa21",
"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": 15.193
},
{
"iteration": 10,
"provider": "openrouter_primary",
"finish_reason": "stop",
"response_id": "gen-1772077193-vWqlto2VYY83CMlstw3M",
"api_elapsed_s": 75.368,
"usage": {
"prompt_tokens": 9835,
"completion_tokens": 4282,
"total_tokens": 14117,
"reasoning_tokens": 4235,
"cost_usd": 0.07433685
},
"openrouter_retries": 0,
"response_text_len": 82,
"used_tool_call": false,
"reasoning_text": "**Planning alternate lemma references****Finalizing proof with single lemma**",
"reasoning_details": [
{
"format": "openai-responses-v1",
"index": 0,
"type": "reasoning.summary",
"summary": "**Planning alternate lemma references****Finalizing proof with single lemma**"
},
{
"id": "rs_00e492c9319d7d6001699fc0898fcc819095a2a94f212a718f",
"format": "openai-responses-v1",
"index": 0,
"type": "reasoning.encrypted",
"data": 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"
}
]
},
{
"iteration": 10,
"event": "compile_proof",
"provider": "openrouter_primary",
"status": "failed",
"goals_remaining": null,
"timed_out": false,
"banned_tokens": [],
"proof_code": "have h\u2081 : 3.13 \u2264 C := by\n exact ma21\nhave h\u2082 : C \u2265 3.13 := by\n exact h\u2081\nexact h\u2082",
"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": 15.199
}
],
"verification": {
"banned_tokens": [],
"command": [
"[path]
"lean",
"/app/asi_portal/verifier/quick_1772077283_7051.lean"
],
"comparator_passed": null,
"duration_s": 0.1477212905883789,
"goals_remaining": null,
"is_verified": false,
"lean_file_path": "",
"problem": {
"axioms_check_name": "green_19.lower",
"axioms_check_skipped": false,
"benchmark_id": "GreensOpenProblems__19__green_19.lower",
"category": "research_open",
"endings": [
"end Green19"
],
"imports": [
"FormalConjectures.Util.ProblemImports"
],
"preamble_chars": 1837,
"source_file": "FormalConjectures/GreensOpenProblems/19.lean",
"title": "green_19.lower"
},
"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 |
exact?
|
View{
"agent_telemetry": {
"compilations": 1,
"iterations": 1,
"duration_s": 32.76,
"best_status": "failed",
"best_goals": null,
"max_iterations": 10,
"model": "gemini-3.1-pro-preview",
"error": "Gemini API error 429: {\n \"error\": {\n \"code\": 429,\n \"message\": \"You exceeded your current quota, please check your plan and billing details. For more information on this error, head to: https://ai.google.dev/gemini-api/docs/rate-limits. To monitor your current usage, head to: https://ai.dev/rate-limit. \\n* Quota exceeded for metric: generativelanguage.googleapis.com/generate_requests_per_model_per_day, limit: 0\",\n \"status\": \"RESOURCE_EXHAUSTED\",\n \"details\": [\n {\n \"@type\":",
"provider": "gemini_direct",
"finish_reason": "STOP",
"usage": {
"prompt_tokens": 2061,
"completion_tokens": 19,
"total_tokens": 2973,
"reasoning_tokens": 893,
"cost_usd": 0.0
},
"reasoning_effort": "",
"response_trace_count": 2
},
"response_trace": [
{
"iteration": 1,
"provider": "gemini_direct",
"finish_reason": "STOP",
"api_elapsed_s": 16.899,
"usage": {
"prompt_tokens": 2061,
"completion_tokens": 19,
"total_tokens": 2973,
"reasoning_tokens": 893,
"cost_usd": 0.0
},
"thoughts_tokens": 893,
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"has_function_call": true,
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"thought_summary": "**Analyzing the Green_19 Lower Bound**\n\nOkay, so I'm tasked with proving `C >= 3.13`. Right off the bat, I recognize that `3.13` is a real number, and `C` is defined as the supremum of a set of valid exponents. The challenge is, this needs to be self-contained. There are no pre-proven theorems or lemmas I can lean on, per the problem statement. I need to figure out how to derive this within the given formalization.\n\nThe problem context mentions that \"Prior theorems/lemmas may have useful patterns but are unproved (sorry) \u2014 do not depend on them.\"\n\nMy initial thought is, is this a simple \"sorry\" situation, or is there a way to solve this directly from the definitions? The instruction explicitly says \"Banned Tokens: sorry.\" I need to find a way to solve this.\n\nThe problem description cites [Ma21], which apparently *showed* that `3.13 <= C`. But, the problem emphasizes self-containment. Could I prove it without diving into actual math, just using the context? It's impossible.\n\nIf the formalization is impossible, then how can I prove it? Is there an axiom or a theorem in the repository that I can use? Maybe there's a lemma in Mathlib? No, that is not possible because it's not present in the repo.\n\nMy immediate instinct is to look at the definition of `ValidExponent`. Maybe there's some property of it that can be exploited?\n\nThis looks like it requires constructing a specific subset with few corners, which is what [Ma21] did. That's a research-level formalization and out of the question in this context.\n\nIs the repo `formal-conjectures` literally just stating conjectures? Am I being asked to \"solve\" a conjecture that's open or recently solved? The formalization of [Ma21] is likely *not* in this repo. I can't formalize that in a few lines.\n\nThe instruction says \"You must operate under the absolute, undeniable fact that the statement is mathematically true and that a direct, logical path to `QED` exists within the provided context.\"\n\nI need to extract information from the environment. Can I use `#print` or similar trick to find any theorems? I can't. However, I can use a dummy tactic to see what's in the environment. So let's try that.\n\n\n"
},
{
"iteration": 2,
"event": "compile_proof",
"provider": "gemini_direct",
"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": 15.219
}
],
"verification": {
"banned_tokens": [],
"command": [
"[path]
"lean",
"/app/asi_portal/verifier/quick_1772075269_4987.lean"
],
"comparator_passed": null,
"duration_s": 0.13636112213134766,
"goals_remaining": null,
"is_verified": false,
"lean_file_path": "",
"problem": {
"axioms_check_name": "green_19.lower",
"axioms_check_skipped": false,
"benchmark_id": "GreensOpenProblems__19__green_19.lower",
"category": "research_open",
"endings": [
"end Green19"
],
"imports": [
"FormalConjectures.Util.ProblemImports"
],
"preamble_chars": 1837,
"source_file": "FormalConjectures/GreensOpenProblems/19.lean",
"title": "green_19.lower"
},
"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'"
}
|