34 lines
2.3 KiB
JSON
34 lines
2.3 KiB
JSON
{
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"model_id": "EPFL-LARA/lean-world-model-qwen3-4b-grpo",
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"backend": "transformers",
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"input": "import Mathlib\n\ntheorem demo (n : ℕ) : n + 0 = n := by sorry\n",
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"prompt": "Solve the following problem with Lean 4 code and explanatory comments:\n\n```lean4\nimport Mathlib\n\n\ntheorem demo (n : ℕ) : n + 0 = n := by sorry\n```\n\nReplace every sorry statement with an appropriate proof. Provide a complete solution in the lean4 code block, annotated with Lean 4 compiler feedback blocks in the form `/- <feedback> ... </feedback> -/` at the appropriate locations.\n",
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"response": "Here is the complete Lean 4 proof annotated with Lean 4 compiler feedback blocks:\n\n```lean4\nimport Mathlib\n\n-- Theorem: For any natural number n, n + 0 = n.\ntheorem demo (n : ℕ) : n + 0 = n := by\n /- <feedback>\n -- proof state:\n n : ℕ\n ⊢ n + 0 = n\n </feedback> -/\n induction n with\n /- <feedback>\n -- proof state:\n case zero\n ⊢ 0 + 0 = 0\n </feedback> -/\n | zero => rfl\n /- <feedback>\n -- proof state:\n ih : n + 0 = n\n case succ\n ⊢ n + 1 + 0 = n + 1\n </feedback> -/\n | succ n ih => simp_all\n```\n",
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"lean_code": "import Mathlib\n\n-- Theorem: For any natural number n, n + 0 = n.\ntheorem demo (n : ℕ) : n + 0 = n := by\n /- <feedback>\n -- proof state:\n n : ℕ\n ⊢ n + 0 = n\n </feedback> -/\n induction n with\n /- <feedback>\n -- proof state:\n case zero\n ⊢ 0 + 0 = 0\n </feedback> -/\n | zero => rfl\n /- <feedback>\n -- proof state:\n ih : n + 0 = n\n case succ\n ⊢ n + 1 + 0 = n + 1\n </feedback> -/\n | succ n ih => simp_all",
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"generation": {
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"seed": 0,
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"temperature": 0.3,
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"top_p": 0.95,
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"top_k": 0,
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"min_p": 0.0,
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"max_new_tokens": 2048,
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"add_special_tokens": false
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},
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"environment": {
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"torch": "2.9.0+cu129",
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"transformers": "4.57.3",
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"gpu": "NVIDIA H100 80GB",
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"dtype": "bfloat16"
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},
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"verification": {
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"lean_version": "4.15.0",
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"compiled": true,
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"original_theorem_type_checked": true,
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"contains_sorry": false
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},
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"weight_sha256": {
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"model-00001-of-00002.safetensors": "4524c20d5a992eb96bc1ed84eaa9e7d15347f232d9f8b21687228fd4912c4ede",
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"model-00002-of-00002.safetensors": "63dd64e9808d77f802c848b997c2cde09a1add8563259db29ce3b098133467b6"
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}
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}
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