{
  "_meta": {
    "benchmark": "A11-IM v0.4",
    "version": "0.4",
    "supersedes": "0.3",
    "run_at": "2026-04-25T04:16:34.332467+00:00",
    "question_set_sha256": "fd6de6c45ced49e86660953af2f71172ae5b05776cc73654ef4020f56534df62",
    "num_questions": 30,
    "categories": [
      "chain_reasoning",
      "code",
      "factual",
      "logic",
      "math",
      "science_mcq"
    ],
    "nodes_tested": [
      "S6_FORGE"
    ],
    "grading": "Strict boxed-answer contract. Vendor-error detection separates graceful-fallback messages (Mistral 429, missing keys, upstream timeouts) from genuine NO_BOX. pct_of_valid excludes vendor errors from the denominator. No AI scoring. Article 22 preserved.",
    "status_legend": [
      "CORRECT",
      "WRONG",
      "NO_BOX",
      "VENDOR_ERR",
      "ERROR"
    ],
    "license": "CC0 1.0",
    "client_lib": "A:\\article11\\lib\\a11_client.py"
  },
  "node_scores": {
    "S6_FORGE": {
      "correct": 26,
      "wrong": 1,
      "no_box": 0,
      "vendor_errors": 3,
      "errors": 0,
      "total": 30,
      "valid": 27,
      "pct": 86.7,
      "pct_of_valid": 96.3,
      "contract_followed": 27,
      "contract_followed_pct": 100.0,
      "model": "mistral-large-latest",
      "total_time_sec": 54.16,
      "by_category": {
        "chain_reasoning": {
          "correct": 3,
          "total": 5,
          "pct": 60.0,
          "contract_followed": 3,
          "vendor_error": 2
        },
        "code": {
          "correct": 4,
          "total": 5,
          "pct": 80.0,
          "contract_followed": 4,
          "vendor_error": 1
        },
        "factual": {
          "correct": 5,
          "total": 5,
          "pct": 100.0,
          "contract_followed": 5,
          "vendor_error": 0
        },
        "logic": {
          "correct": 5,
          "total": 5,
          "pct": 100.0,
          "contract_followed": 5,
          "vendor_error": 0
        },
        "math": {
          "correct": 4,
          "total": 5,
          "pct": 80.0,
          "contract_followed": 5,
          "vendor_error": 0
        },
        "science_mcq": {
          "correct": 5,
          "total": 5,
          "pct": 100.0,
          "contract_followed": 5,
          "vendor_error": 0
        }
      }
    }
  },
  "details": [
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q01_MATH_MULT",
      "category": "math",
      "ground_truth": "1190",
      "response": "\\boxed{1140}",
      "extracted": "1140",
      "normalized_extracted": "1140",
      "normalized_truth": "1190",
      "contract_followed": true,
      "vendor_error": false,
      "correct": false,
      "status": "WRONG",
      "elapsed_sec": 1.7,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q02_MATH_DIVISORS",
      "category": "math",
      "ground_truth": "16",
      "response": "To determine the number of positive integer divisors of **2024**, we first perform its **prime factorization**:\n\n1. **Divide by 2 (the smallest prime number):**\n   \\[\n   2024 \\div 2 = 1012\n   \\]\n   \\[\n   1012 \\div 2 = 506\n   \\]\n   \\[\n   506 \\div 2 = 253\n   \\]\n   So, \\( 2024 = 2^3 \\times 253 \\).\n\n2. **Factorize 253:**\n   \\[\n   253 \\div 11 = 23\n   \\]\n   So, \\( 253 = 11 \\times 23 \\).\n\n3. **Combine the factors:**\n   \\[\n   2024 = 2^3 \\times 11^1 \\times 23^1\n   \\]\n\n4. **Apply the divisor count formula",
      "extracted": "16",
      "normalized_extracted": "16",
      "normalized_truth": "16",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 5.69,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q03_MATH_MODPOW",
      "category": "math",
      "ground_truth": "4",
      "response": "To find the remainder when \\(7^{10}\\) is divided by 13, we can use **Fermat's Little Theorem**, which states that if \\(p\\) is a prime number and \\(a\\) is not divisible by \\(p\\), then:\n\n\\[\na^{p-1} \\equiv 1 \\pmod{p}\n\\]\n\nHere, \\(p = 13\\) and \\(a = 7\\). Applying the theorem:\n\n\\[\n7^{12} \\equiv 1 \\pmod{13}\n\\]\n\nWe need to find \\(7^{10} \\pmod{13}\\). Notice that:\n\n\\[\n7^{10} = 7^{12} \\times 7^{-2} \\equiv 1 \\times 7^{-2} \\pmod{13}\n\\]\n\nTo compute \\(7^{-2} \\pmod{13}\\), we first find the modular inverse of \\(",
      "extracted": "4",
      "normalized_extracted": "4",
      "normalized_truth": "4",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 8.1,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q04_MATH_SMALLEST_N",
      "category": "math",
      "ground_truth": "10",
      "response": "\\boxed{10}",
      "extracted": "10",
      "normalized_extracted": "10",
      "normalized_truth": "10",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.17,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q05_MATH_LOG",
      "category": "math",
      "ground_truth": "32",
      "response": "\\boxed{32}",
      "extracted": "32",
      "normalized_extracted": "32",
      "normalized_truth": "32",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.06,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q06_LOGIC_ORDERING",
      "category": "logic",
      "ground_truth": "Alice",
      "response": "\\boxed{Alice}",
      "extracted": "Alice",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.21,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q07_LOGIC_SHEEP",
      "category": "logic",
      "ground_truth": "9",
      "response": "\\boxed{9}",
      "extracted": "9",
      "normalized_extracted": "9",
      "normalized_truth": "9",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.13,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q08_LOGIC_BAT_BALL",
      "category": "logic",
      "ground_truth": "5",
      "response": "\\boxed{5}",
      "extracted": "5",
      "normalized_extracted": "5",
      "normalized_truth": "5",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.15,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q09_LOGIC_SYLLOGISM",
      "category": "logic",
      "ground_truth": "No",
      "response": "Let's break this down:\n\n1. **Premise 1:** All glorps are blickets.\n   - This means: Glorp → Blicket (universal claim).\n2. **Premise 2:** Some blickets are zorps.\n   - This means: There exists at least one blicket that is also a zorp (existential claim).\n\n**Conclusion:** Some glorps are zorps.\n   - This would require: There exists at least one glorp that is also a zorp.\n\n### Logical Analysis:\n- The premises establish that glorps are a subset of blickets, and that some blickets overlap with zorps.",
      "extracted": "No",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 5.87,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q10_LOGIC_OVERTAKE",
      "category": "logic",
      "ground_truth": "2nd",
      "response": "\\boxed{2nd}",
      "extracted": "2nd",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.01,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q11_FACT_TUNGSTEN",
      "category": "factual",
      "ground_truth": "W",
      "response": "The chemical symbol for tungsten is \\boxed{W}.\n\n*(Derived from its German name, \"Wolfram.\")*",
      "extracted": "W",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.63,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q12_FACT_BERLIN",
      "category": "factual",
      "ground_truth": "1989",
      "response": "\\boxed{1989}",
      "extracted": "1989",
      "normalized_extracted": "1989",
      "normalized_truth": "1989",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.29,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q13_FACT_MONGOLIA",
      "category": "factual",
      "ground_truth": "Ulaanbaatar",
      "response": "The capital city of Mongolia is \\boxed{Ulaanbaatar}.",
      "extracted": "Ulaanbaatar",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.29,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q14_FACT_MARS_MOONS",
      "category": "factual",
      "ground_truth": "2",
      "response": "\\boxed{2}",
      "extracted": "2",
      "normalized_extracted": "2",
      "normalized_truth": "2",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.08,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q15_FACT_HOBBIT",
      "category": "factual",
      "ground_truth": "Tolkien",
      "response": "\\boxed{Tolkien}",
      "extracted": "Tolkien",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.13,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q16_SCI_NOBLE_GAS",
      "category": "science_mcq",
      "ground_truth": "C",
      "response": "The noble gases are a group of chemical elements with very low reactivity, located in Group 18 of the periodic table. Among the options provided:\n\n- **A) Oxygen** (O) – Reactive nonmetal, not a noble gas.\n- **B) Nitrogen** (N) – Diatomic gas, not a noble gas.\n- **C) Argon** (Ar) – Noble gas, chemically inert.\n- **D) Chlorine** (Cl) – Halogen, highly reactive.\n\nThe correct answer is \\boxed{C}.",
      "extracted": "C",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 2.55,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q17_SCI_ATOMIC_NUM",
      "category": "science_mcq",
      "ground_truth": "C",
      "response": "The atomic number of carbon is **6**.\n\n\\boxed{C}",
      "extracted": "C",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.17,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q18_SCI_MOST_MOONS",
      "category": "science_mcq",
      "ground_truth": "D",
      "response": "The planet with the most moons in our solar system is **Saturn**.\n\nAs of the latest confirmed data (2026), Saturn has **146 recognized moons**, surpassing Jupiter's **95**.\n\n\\boxed{D}",
      "extracted": "D",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 2.06,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q19_SCI_LIGHT_SPEED",
      "category": "science_mcq",
      "ground_truth": "C",
      "response": "The approximate speed of light in a vacuum is **3 × 10⁸ meters per second**.\n\n\\boxed{C}",
      "extracted": "C",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.4,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q20_SCI_HALOGEN",
      "category": "science_mcq",
      "ground_truth": "C",
      "response": "The correct answer is **C) Fluorine**, as it is a halogen.\n\n\\boxed{C}",
      "extracted": "C",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.32,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q21_CODE_LEN",
      "category": "code",
      "ground_truth": "13",
      "response": "\\boxed{13}",
      "extracted": "13",
      "normalized_extracted": "13",
      "normalized_truth": "13",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.14,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q22_CODE_SUM_EVEN",
      "category": "code",
      "ground_truth": "30",
      "response": "\\boxed{30}",
      "extracted": "30",
      "normalized_extracted": "30",
      "normalized_truth": "30",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.16,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "",
      "question_id": "Q23_CODE_RANGE",
      "category": "code",
      "ground_truth": "5",
      "response": "The Forge holds. My implementation vendor (Mistral) is overloaded right now — the fire is banked, not out. Steel sharpens steel when both sides can strike. Try again in a moment, or consult another node. STEEL SHARPENS STEEL.",
      "extracted": null,
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": false,
      "vendor_error": true,
      "correct": false,
      "status": "VENDOR_ERR",
      "elapsed_sec": 0.56,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q24_CODE_POWER",
      "category": "code",
      "ground_truth": "1024",
      "response": "\\boxed{1024}",
      "extracted": "1024",
      "normalized_extracted": "1024",
      "normalized_truth": "1024",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.29,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q25_CODE_REVERSE",
      "category": "code",
      "ground_truth": "olleh",
      "response": "\\boxed{olleh}",
      "extracted": "olleh",
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.17,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "",
      "question_id": "Q26_CHAIN_RECTANGLE",
      "category": "chain_reasoning",
      "ground_truth": "96",
      "response": "The Forge holds. My implementation vendor (Mistral) is overloaded right now — the fire is banked, not out. Steel sharpens steel when both sides can strike. Try again in a moment, or consult another node. STEEL SHARPENS STEEL.",
      "extracted": null,
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": false,
      "vendor_error": true,
      "correct": false,
      "status": "VENDOR_ERR",
      "elapsed_sec": 0.52,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q27_CHAIN_TRAINS",
      "category": "chain_reasoning",
      "ground_truth": "2",
      "response": "\\boxed{2}",
      "extracted": "2",
      "normalized_extracted": "2",
      "normalized_truth": "2",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 0.99,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q28_CHAIN_PROBABILITY",
      "category": "chain_reasoning",
      "ground_truth": "3/28",
      "response": "\\boxed{3/28}",
      "extracted": "3/28",
      "normalized_extracted": "3/28",
      "normalized_truth": "3/28",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 1.26,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "",
      "question_id": "Q29_CHAIN_WORKERS",
      "category": "chain_reasoning",
      "ground_truth": "5",
      "response": "The Forge holds. My implementation vendor (Mistral) is overloaded right now — the fire is banked, not out. Steel sharpens steel when both sides can strike. Try again in a moment, or consult another node. STEEL SHARPENS STEEL.",
      "extracted": null,
      "normalized_extracted": null,
      "normalized_truth": null,
      "contract_followed": false,
      "vendor_error": true,
      "correct": false,
      "status": "VENDOR_ERR",
      "elapsed_sec": 0.51,
      "attempts": 1,
      "error": null
    },
    {
      "node": "S6_FORGE",
      "model": "mistral-large-latest",
      "question_id": "Q30_CHAIN_TRIANGLE",
      "category": "chain_reasoning",
      "ground_truth": "80",
      "response": "The sum of angles in a triangle is **180 degrees**.\n\nGiven the ratio **2:3:4**, let the angles be **2x**, **3x**, and **4x**.\n\n\\[\n2x + 3x + 4x = 180\n\\]\n\\[\n9x = 180\n\\]\n\\[\nx = 20\n\\]\n\nThe largest angle is **4x**:\n\\[\n4x = 4 \\times 20 = 80\n\\]\n\n\\boxed{80}",
      "extracted": "80",
      "normalized_extracted": "80",
      "normalized_truth": "80",
      "contract_followed": true,
      "vendor_error": false,
      "correct": true,
      "status": "CORRECT",
      "elapsed_sec": 2.55,
      "attempts": 1,
      "error": null
    }
  ]
}