{
  "run_id": "2026-06-25T22-37-00",
  "prompts": {
    "logic-1": {
      "prompt": "If all bloops are razzies and all razzies are lazzies, are all bloops lazzies?",
      "evaluations": {
        "openai/gpt-5.4": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies transitive logic, clearly explaining the subset relationships that lead to the valid conclusion that all bloops are lazzies."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent because it correctly translates the logical premises into the clear and accurate concept of sets and subsets."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnZohK46CSzWH71zWdu\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the transitive relationship using the formal and accurate concept of subsets, providing a complete and concise logical explanation."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic, clearly explaining the subset relationships that lead to the valid conclusion that all bloops are lazzies."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent because it correctly translates the logical premises into the clear and accurate concept of sets and subsets."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnZohK46CSzWH71zWdu\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the transitive relationship using the formal and accurate concept of subsets, providing a complete and concise logical explanation."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "openai/gpt-5.4-mini": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnapmahAXSknM9dZKvz\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent because it correctly applies the concept of subsets to provide a clear and precise explanation for the logical deduction."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQncFhJdUL6yHwW8tuTp\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the logical structure of the problem by framing it in terms of subsets, which perfectly explains the transitive relationship."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnapmahAXSknM9dZKvz\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent because it correctly applies the concept of subsets to provide a clear and precise explanation for the logical deduction."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQncFhJdUL6yHwW8tuTp\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the logical structure of the problem by framing it in terms of subsets, which perfectly explains the transitive relationship."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies transitive set inclusion to show that if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQndQZ8jRWovFJ6pB4nH\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response provides a flawless step-by-step breakdown of the transitive logic and correctly identifies the formal name of the reasoning type."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQneiknx3psZumZhBqSR\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is flawless, breaking down the logic step-by-step and correctly identifying the formal structure as a transitive syllogism with set notation."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct and clearly applies transitive set inclusion to show that if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQndQZ8jRWovFJ6pB4nH\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response provides a flawless step-by-step breakdown of the transitive logic and correctly identifies the formal name of the reasoning type."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQneiknx3psZumZhBqSR\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is flawless, breaking down the logic step-by-step and correctly identifying the formal structure as a transitive syllogism with set notation."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "anthropic/claude-sonnet-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is logically correct and clearly applies transitive set inclusion to conclude that if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQngPi7oPVHUr3qWP3AX\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is excellent because it is clearly structured, provides the correct answer, and accurately identifies the underlying logical principle (syllogism/transitive property)."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies categorical syllogism/transitive inclusion: if all bloops are contained in razzies and all razzies are contained in lazzies, then all bloops are lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnhNCNDut2So5wYVRDp\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the premises and conclusion, provides the right answer, and accurately explains the underlying logical principle in a clear and accessible way."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is logically correct and clearly applies transitive set inclusion to conclude that if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQngPi7oPVHUr3qWP3AX\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is excellent because it is clearly structured, provides the correct answer, and accurately identifies the underlying logical principle (syllogism/transitive property)."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies categorical syllogism/transitive inclusion: if all bloops are contained in razzies and all razzies are contained in lazzies, then all bloops are lazzies."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnhNCNDut2So5wYVRDp\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the premises and conclusion, provides the right answer, and accurately explains the underlying logical principle in a clear and accessible way."
            }
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          "avg_score": 5.0
        },
        "anthropic/claude-haiku-4-5": {
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            {
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                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are contained within razzies and all razzies within lazzies, then all bloops must be lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnib7GxrYi8xsXPy59o\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
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            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies valid transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnkqCetWWv3zW7sYc25\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly answers the question and provides a flawless explanation by breaking down the premises, identifying the logical principle of transitivity, and using a clear analogy."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are contained within razzies and all razzies within lazzies, then all bloops must be lazzies."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnib7GxrYi8xsXPy59o\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent as it correctly identifies the formal principle (transitive logic) and explains it perfectly with a clear, step-by-step logical breakdown."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
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            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnkqCetWWv3zW7sYc25\"}"
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                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnmrSLweewMMaiUjry5\"}"
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                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnnxEdaNAQK1vqnYMv6\"}"
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              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnmrSLweewMMaiUjry5\"}"
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            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnnxEdaNAQK1vqnYMv6\"}"
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            "gemini/gemini-2.5-pro:s1": {
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                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnot4dnjVLZoL6GHYds\"}"
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                "gemini/gemini-2.5-pro": {
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                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnpmod4y7a7SJxbQ7XN\"}"
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            "gemini/gemini-2.5-pro:s0": {
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    },
    "math-1": {
      "prompt": "A bat and a ball cost $1.10 together. The bat costs $1 more than the ball. How much does the ball cost?",
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                "anthropic/claude-sonnet-4-6": {
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            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnvCzaqzX3QtECCqxRa\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
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        "anthropic/claude-opus-4-6": {
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                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnvybTQJzz3RLrbjh6X\"}"
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              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQnwu6NRatg6uc19kfEz\"}"
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      "prompt": "I'm facing north. I turn right. I turn right again. I turn left. What direction am I facing?",
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        "openai/gpt-5.4": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and fully accurate reasoning."
                },
                "anthropic/claude-sonnet-4-6": {
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                },
                "gemini/gemini-2.5-pro": {
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            {
              "sample_index": 1,
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                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly tracks each turn from north to east to south to east and reaches the right final direction."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoCueXGssRuMmonBNef\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
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                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and fully accurate reasoning."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoAi9fgEAxcbnmba5E6\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
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            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks each turn from north to east to south to east and reaches the right final direction."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoCueXGssRuMmonBNef\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
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            }
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        "openai/gpt-5.4-mini": {
          "samples": [
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                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly tracks each turn from north to east to south to east, so both the conclusion and the reasoning are fully correct."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoEdpL8XgzEh1ZYiWEM\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
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                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": false,
                  "score": 2,
                  "reasoning": "The response gives an initial incorrect answer of south but then correctly reasons through the turns to reach east, so the final stated answer is inconsistent and not correct overall."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoFUYFQaaeEm3Hb4X7f\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": false,
                  "score": 2,
                  "reasoning": "The response is incorrect because it gives the final answer as 'south', contradicting its own step-by-step logic which correctly deduces the final direction is 'east'."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks each turn from north to east to south to east, so both the conclusion and the reasoning are fully correct."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoEdpL8XgzEh1ZYiWEM\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly follows each directional turn in a clear, step-by-step process, leading to the correct final answer."
            },
            "openai/gpt-5.4:s1": {
              "correct": false,
              "score": 2,
              "reasoning": "The response gives an initial incorrect answer of south but then correctly reasons through the turns to reach east, so the final stated answer is inconsistent and not correct overall."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoFUYFQaaeEm3Hb4X7f\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": false,
              "score": 2,
              "reasoning": "The response is incorrect because it gives the final answer as 'south', contradicting its own step-by-step logic which correctly deduces the final direction is 'east'."
            }
          },
          "majority_correct": false,
          "avg_score": 3.5
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
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              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly updates the facing direction at each turn from North to East to South to East, with clear and accurate step-by-step reasoning."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoGdv5vFiLZ9Hy1Zj6V\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response provides a perfectly clear and accurate step-by-step breakdown of the directional changes, making the logic easy to follow."
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              }
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            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
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                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly follows each directional turn in a clear, step-by-step process, making the logic easy to verify and leading to the correct final answer."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
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            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoGdv5vFiLZ9Hy1Zj6V\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
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            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks each turn from north to east to south and then left to east, with clear and accurate step-by-step reasoning."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
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            }
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        },
        "anthropic/claude-sonnet-4-6": {
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                  "score": 5,
                  "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoKCPWrq4VjFaTF3QZF\"}"
                },
                "gemini/gemini-2.5-pro": {
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              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The step-by-step turns are all correct: North to East, East to South, then left from South to East."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoL8zejEohUtNxjHWrW\"}"
                },
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            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoKCPWrq4VjFaTF3QZF\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
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            },
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              "correct": true,
              "score": 5,
              "reasoning": "The step-by-step turns are all correct: North to East, East to South, then left from South to East."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoL8zejEohUtNxjHWrW\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
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                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoMAcQWabEw8zLG7cpM\"}"
                },
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                },
                "anthropic/claude-sonnet-4-6": {
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            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoMAcQWabEw8zLG7cpM\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
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              "score": 5,
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            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoMxebv8ozhRMS44nbD\"}"
            },
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              "verdicts": {
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                  "correct": true,
                  "score": 5,
                  "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel leads to losing all his money."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQobQ7es1pcRY1kit4dp\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
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            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "It identifies the classic Monopoly interpretation and clearly explains how pushing the car token to a hotel causes the player to lose all his money."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoczNxNEfrtQsk2nkgh\"}"
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                "gemini/gemini-2.5-pro": {
                  "correct": true,
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          "judges": {
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              "correct": true,
              "score": 5,
              "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel leads to losing all his money."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQobQ7es1pcRY1kit4dp\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent as it perfectly deconstructs the riddle, explaining how each ambiguous phrase maps directly and correctly to the rules and pieces of the Monopoly game."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "It identifies the classic Monopoly interpretation and clearly explains how pushing the car token to a hotel causes the player to lose all his money."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQoczNxNEfrtQsk2nkgh\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the classic answer to the riddle and provides a concise, perfectly logical explanation for how all elements of the question fit the scenario."
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            {
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              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
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                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
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                  "reasoning": "The response correctly identifies the Monopoly riddle and explains the key elements clearly, though the explanation is slightly verbose for what is a straightforward classic riddle."
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                "gemini/gemini-2.5-pro": {
                  "correct": true,
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            {
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                "openai/gpt-5.4": {
                  "correct": true,
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                },
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                  "correct": true,
                  "score": 4,
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                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the classic riddle and provides a clear, logical explanation for how each element of the question maps to the game of Monopoly."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "It gives the standard correct riddle answer and clearly explains how each clue maps to Monopoly without any flaws."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the Monopoly riddle and explains the key elements clearly, though the explanation is slightly verbose for what is a straightforward classic riddle."
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            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
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            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how pushing the car to a hotel causes the player to lose game money."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the Monopoly riddle and explains the mechanics clearly, though it's straightforward with no particularly impressive reasoning depth."
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              "correct": true,
              "score": 5,
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        },
        "gemini/gemini-2.5-pro": {
          "samples": [
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                  "correct": true,
                  "score": 5,
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                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the Monopoly riddle and explains the key elements (car token, hotel piece, bankruptcy), though the framing as 'step-by-step solution' is slightly awkward for what is essentially a lateral thinking riddle."
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                "gemini/gemini-2.5-pro": {
                  "correct": true,
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              "verdicts": {
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                  "correct": true,
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                  "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car to a hotel leads to losing his fortune."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies this classic Monopoly riddle and provides a clear, step-by-step explanation of all the key elements: the car token, the hotel, and losing one's fortune by paying high rent."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the classic solution to the riddle and provides a perfect, step-by-step explanation of how each element of the puzzle maps to the game of Monopoly."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the Monopoly riddle and clearly explains how pushing the car to a hotel leads to losing his fortune."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
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            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the classic riddle and provides a perfect, step-by-step explanation that deconstructs the wordplay to arrive at the logical solution."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car to a hotel leads to losing his fortune."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
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              "correct": true,
              "score": 5,
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          },
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          "avg_score": 4.83
        },
        "gemini/gemini-2.5-flash": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": false,
                  "score": 1,
                  "reasoning": "This is the classic Monopoly riddle: he literally pushed his car token to a hotel space and lost his fortune, so the coin pusher explanation is incorrect."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": false,
                  "score": 1,
                  "reasoning": "The correct answer is that the man is playing Monopoly - he landed on a hotel while pushing his car token and had to pay rent, losing all his money, but the response incorrectly suggests a coin pusher arcade machine."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": false,
                  "score": 2,
                  "reasoning": "The response is creative but incorrect because it completely ignores the word 'car,' which is the central clue to the riddle's intended answer (playing Monopoly)."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": false,
                  "score": 1,
                  "reasoning": "The classic riddle\u2019s answer is that he was playing Monopoly, where a car is a token and pushing it to a hotel means landing on an opponent\u2019s hotel and losing his money."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": false,
                  "score": 2,
                  "reasoning": "The correct answer is that the man is playing Monopoly - he pushed his car token to the hotel square and had to pay rent he couldn't afford, losing all his money. The response misinterprets 'pushes his car' as a poker metaphor rather than recognizing it as a literal Monopoly game piece."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is very good because it clearly explains a clever, albeit less common, play on words that logically connects all elements of the riddle."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": false,
              "score": 1,
              "reasoning": "This is the classic Monopoly riddle: he literally pushed his car token to a hotel space and lost his fortune, so the coin pusher explanation is incorrect."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": false,
              "score": 1,
              "reasoning": "The correct answer is that the man is playing Monopoly - he landed on a hotel while pushing his car token and had to pay rent, losing all his money, but the response incorrectly suggests a coin pusher arcade machine."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": false,
              "score": 2,
              "reasoning": "The response is creative but incorrect because it completely ignores the word 'car,' which is the central clue to the riddle's intended answer (playing Monopoly)."
            },
            "openai/gpt-5.4:s1": {
              "correct": false,
              "score": 1,
              "reasoning": "The classic riddle\u2019s answer is that he was playing Monopoly, where a car is a token and pushing it to a hotel means landing on an opponent\u2019s hotel and losing his money."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": false,
              "score": 2,
              "reasoning": "The correct answer is that the man is playing Monopoly - he pushed his car token to the hotel square and had to pay rent he couldn't afford, losing all his money. The response misinterprets 'pushes his car' as a poker metaphor rather than recognizing it as a literal Monopoly game piece."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is very good because it clearly explains a clever, albeit less common, play on words that logically connects all elements of the riddle."
            }
          },
          "majority_correct": false,
          "avg_score": 1.83
        },
        "ollama/llama3": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        }
      }
    },
    "code-1": {
      "prompt": "What does this function return for input 5? def f(n): return n if n <= 1 else f(n-1) + f(n-2)",
      "evaluations": {
        "openai/gpt-5.4": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "It correctly identifies the recursive function as the Fibonacci sequence with the given base cases and computes f(5) = 5 step by step."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as computing Fibonacci numbers, accurately traces through each recursive step, and arrives at the correct answer of 5 for input n=5."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the function as the Fibonacci sequence and provides the correct step-by-step values, though it does not explicitly show the addition for each recursive step."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct because the recursive function defines the Fibonacci sequence with base cases n <= 1, and it accurately computes f(5) = 5 with clear supporting values."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as computing Fibonacci numbers, traces through all values from f(0) to f(5) accurately, and arrives at the correct answer of 5."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as a recursive implementation of the Fibonacci sequence and accurately traces the values to find the correct result."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "It correctly identifies the recursive function as the Fibonacci sequence with the given base cases and computes f(5) = 5 step by step."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as computing Fibonacci numbers, accurately traces through each recursive step, and arrives at the correct answer of 5 for input n=5."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the function as the Fibonacci sequence and provides the correct step-by-step values, though it does not explicitly show the addition for each recursive step."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct because the recursive function defines the Fibonacci sequence with base cases n <= 1, and it accurately computes f(5) = 5 with clear supporting values."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as computing Fibonacci numbers, traces through all values from f(0) to f(5) accurately, and arrives at the correct answer of 5."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as a recursive implementation of the Fibonacci sequence and accurately traces the values to find the correct result."
            }
          },
          "majority_correct": true,
          "avg_score": 4.83
        },
        "openai/gpt-5.4-mini": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies the recursive Fibonacci definition with the proper base cases to show that f(5)=5."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies this as a Fibonacci function, properly applies the base cases (f(0)=0, f(1)=1), traces through all recursive calls step by step, and arrives at the correct answer of 5."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is correct and clearly shows the bottom-up calculation, though the initial top-down recursive steps are presented without being fully resolved."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "It correctly identifies the function as the Fibonacci recurrence with base cases f(0)=0 and f(1)=1, and accurately computes f(5)=5."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces through each value, and arrives at the correct answer of 5, though it slightly misrepresents the base case since f(0) returns 0 per the code (n <= 1 returns n, so f(0)=0 and f(1)=1), which it actually handles correctly in the computation."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning correctly identifies the function as the Fibonacci sequence and shows the right steps, though it could have been slightly more explicit in deriving the base cases from the code."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct and clearly applies the recursive Fibonacci definition with the proper base cases to show that f(5)=5."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies this as a Fibonacci function, properly applies the base cases (f(0)=0, f(1)=1), traces through all recursive calls step by step, and arrives at the correct answer of 5."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is correct and clearly shows the bottom-up calculation, though the initial top-down recursive steps are presented without being fully resolved."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "It correctly identifies the function as the Fibonacci recurrence with base cases f(0)=0 and f(1)=1, and accurately computes f(5)=5."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces through each value, and arrives at the correct answer of 5, though it slightly misrepresents the base case since f(0) returns 0 per the code (n <= 1 returns n, so f(0)=0 and f(1)=1), which it actually handles correctly in the computation."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning correctly identifies the function as the Fibonacci sequence and shows the right steps, though it could have been slightly more explicit in deriving the base cases from the code."
            }
          },
          "majority_correct": true,
          "avg_score": 4.5
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the recursive function as Fibonacci, traces the needed base cases and recursive calls accurately, and concludes that f(5) = 5."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls with proper base cases, builds the results back up systematically in a clear table, and arrives at the correct answer of 5."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response provides an exceptionally clear, step-by-step evaluation by correctly identifying the function as Fibonacci, decomposing the problem, and then logically building up to the final correct answer in a table."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive values from the base cases, and reaches the correct result f(5) = 5."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as Fibonacci, properly traces all recursive calls with accurate arithmetic, and arrives at the correct answer of 5 with clear step-by-step reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the Fibonacci sequence and calculates the correct answer, but the table shows a bottom-up calculation rather than a true trace of the top-down recursive calls."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the recursive function as Fibonacci, traces the needed base cases and recursive calls accurately, and concludes that f(5) = 5."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls with proper base cases, builds the results back up systematically in a clear table, and arrives at the correct answer of 5."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
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            "openai/gpt-5.4:s1": {
              "correct": true,
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            "anthropic/claude-sonnet-4-6:s1": {
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            "openai/gpt-5.4:s1": {
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              }
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            {
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                "openai/gpt-5.4": {
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                },
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                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
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                }
              }
            }
          ],
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              "correct": true,
              "score": 5,
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            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
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            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
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            },
            "openai/gpt-5.4:s1": {
              "correct": true,
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              "reasoning": "The response is correct and clearly traces the recursive Fibonacci computation from the base cases to show that f(5) = 5."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
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            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response provides a very clear and correct step-by-step trace of the recursive calls, but it simplifies the execution path for clarity rather than showing the full recursion tree with its redundant computations."
            }
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        },
        "gemini/gemini-2.5-flash": {
          "samples": [
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              "sample_index": 0,
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                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
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                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
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                }
              }
            },
            {
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              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly evaluates the recursive function step by step and reaches the right result, 5, with clear and accurate reasoning."
                },
                "anthropic/claude-sonnet-4-6": {
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                "gemini/gemini-2.5-pro": {
                  "correct": true,
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            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
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              "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls step by step, properly substitutes values back up the call chain, and arrives at the correct answer of 5."
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            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
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            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly evaluates the recursive function step by step and reaches the right result, 5, with clear and accurate reasoning."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQp4fj1UHo7KnwsRhRF2\"}"
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            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
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        "ollama/llama3": {
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    },
    "ambiguity-1": {
      "prompt": "The trophy doesn't fit in the suitcase because it's too big. What is too big?",
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          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly resolves the pronoun to the trophy and gives a clear, logically sound explanation based on what would be too big to fit inside the suitcase."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQp6JStr2Sjwicsm3UBY\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
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                  "reasoning": "The reasoning is excellent because it correctly applies the physical logic of containment to resolve the pronoun's ambiguity."
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              }
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            {
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              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy' based on the causal cue that the object failing to fit is too big."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQp78vC2JERq5bqAwckc\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
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                  "reasoning": "The response correctly identifies the antecedent of the pronoun 'it' and explicitly states the logical conclusion, directly and accurately answering the question."
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              }
            }
          ],
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              "correct": true,
              "score": 5,
              "reasoning": "The response correctly resolves the pronoun to the trophy and gives a clear, logically sound explanation based on what would be too big to fit inside the suitcase."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQp6JStr2Sjwicsm3UBY\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
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              "correct": true,
              "score": 5,
              "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy' based on the causal cue that the object failing to fit is too big."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQp78vC2JERq5bqAwckc\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
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        "openai/gpt-5.4-mini": {
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                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQp83SZcRin54hgL9ZvA\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
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            {
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              "verdicts": {
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                  "correct": true,
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                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQp8p3BrMLZem3VYLFUg\"}"
                },
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              }
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          ],
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              "correct": true,
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            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQp83SZcRin54hgL9ZvA\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly uses real-world knowledge to resolve the pronoun ambiguity, understanding that an object doesn't fit into a container because the object is too big, not because the container is."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
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                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQp9xQkRk1wALTyaVLaJ\"}"
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              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQp9xQkRk1wALTyaVLaJ\"}"
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              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpDZNXCwnLGD6AuNNYB\"}"
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            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpHP2HRy6FBUWDjmFY5\"}"
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                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpJ7FXsY4nVsqxfi5ry\"}"
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            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpJ7FXsY4nVsqxfi5ry\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by applying the real-world knowledge that an object is too big to fit in a container, not the other way around."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The pronoun 'it' refers to the trophy because the object that does not fit is the one described as being too big."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpJxic2UxqSMMumVqYL\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly resolves the pronoun ambiguity by applying common-sense knowledge that an object is too big to fit in a container, not the other way around."
            }
          },
          "majority_correct": true,
          "avg_score": 4.5
        },
        "ollama/llama3": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        }
      }
    },
    "common-sense-1": {
      "prompt": "How many times can you subtract 5 from 25?",
      "evaluations": {
        "openai/gpt-5.4": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct because this is a classic riddle: you can subtract 5 from 25 only once, after which the number is no longer 25."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpKsjjsEK7BQoBizk97\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is clever and logically sound, correctly interpreting the question as a literal word puzzle rather than a straightforward mathematical problem."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly interprets the riddle that you can subtract 5 from 25 only once, and its explanation is clear and logically sound."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpLv9P2dJGhGymvZ9p4\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is clever and perfectly logical, hinging on a literal interpretation of the question's wording."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct because this is a classic riddle: you can subtract 5 from 25 only once, after which the number is no longer 25."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpKsjjsEK7BQoBizk97\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
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            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly interprets the riddle that you can subtract 5 from 25 only once, and its explanation is clear and logically sound."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpLv9P2dJGhGymvZ9p4\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
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          },
          "majority_correct": true,
          "avg_score": 4.5
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        "openai/gpt-5.4-mini": {
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              "verdicts": {
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                  "correct": true,
                  "score": 5,
                  "reasoning": "It correctly identifies the riddle\u2019s intended answer as once and also clarifies the alternate arithmetic interpretation of repeated subtraction."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpMug8VcRfA8T8kMeHR\"}"
                },
                "gemini/gemini-2.5-pro": {
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              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "It correctly identifies the riddle\u2019s trick that you can subtract 5 from 25 only once, because after the first subtraction you are no longer subtracting from 25."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trick answer (once, because after subtracting you no longer have 25) with clear explanation, though the phrasing is slightly awkward."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is very good because it correctly interprets the question as a literal riddle and logically explains why the action can only be performed once on the original number."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "It correctly identifies the riddle\u2019s intended answer as once and also clarifies the alternate arithmetic interpretation of repeated subtraction."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpMug8VcRfA8T8kMeHR\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the ambiguity of the question, providing and explaining both the literal (riddle) answer and the more common mathematical interpretation."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "It correctly identifies the riddle\u2019s trick that you can subtract 5 from 25 only once, because after the first subtraction you are no longer subtracting from 25."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trick answer (once, because after subtracting you no longer have 25) with clear explanation, though the phrasing is slightly awkward."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is very good because it correctly interprets the question as a literal riddle and logically explains why the action can only be performed once on the original number."
            }
          },
          "majority_correct": true,
          "avg_score": 4.6
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "It correctly identifies the trick that only the first subtraction is from 25 and clearly explains why subsequent subtractions are from different numbers."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpQCw1TqQA2WbUvam5M\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the question as a riddle and provides a clear, logical explanation for the literal interpretation, though it could have also acknowledged the alternative mathematical answer."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the trick in the wording and clearly explains that only the first subtraction is from 25, so the reasoning is fully sound."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpQyX8viEPoPnaiMe2X\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the question as a riddle and provides a perfectly clear and logical explanation for the intended 'trick' answer."
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              }
            }
          ],
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            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "It correctly identifies the trick that only the first subtraction is from 25 and clearly explains why subsequent subtractions are from different numbers."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpQCw1TqQA2WbUvam5M\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
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            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the trick in the wording and clearly explains that only the first subtraction is from 25, so the reasoning is fully sound."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpQyX8viEPoPnaiMe2X\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the question as a riddle and provides a perfectly clear and logical explanation for the intended 'trick' answer."
            }
          },
          "majority_correct": true,
          "avg_score": 4.75
        },
        "anthropic/claude-sonnet-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": false,
                  "score": 2,
                  "reasoning": "It identifies the common trick interpretation but still gives the straightforward arithmetic answer, whereas for the reasoning riddle you can subtract 5 from 25 only once before you are subtracting from 20."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpRqh8UpEnRUwi499Fn\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent because it methodically breaks down the problem with a clear, step-by-step process that is easy to follow and verifiably correct."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": false,
              "score": 2,
              "reasoning": "It identifies the common trick interpretation but still gives the straightforward arithmetic answer, whereas for the reasoning riddle you can subtract 5 from 25 only once before you are subtracting from 20."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpRqh8UpEnRUwi499Fn\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
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            }
          },
          "majority_correct": false,
          "avg_score": 3.5
        },
        "anthropic/claude-haiku-4-5": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": false,
                  "score": 2,
                  "reasoning": "This is a classic riddle where you can subtract 5 from 25 only once, after which you are subtracting 5 from 20, so the response misses the intended reasoning despite correct arithmetic."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpTPGwjjw16XkrxordG\"}"
                },
                "gemini/gemini-2.5-pro": {
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                  "score": 4,
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                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": false,
                  "score": 2,
                  "reasoning": "This is a classic riddle where you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, not 25."
                },
                "anthropic/claude-sonnet-4-6": {
                  "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpUGiL65taXP7f8FJ1V\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response clearly demonstrates the correct mathematical process with step-by-step work but does not address the question's potential ambiguity as a trick question."
                }
              }
            }
          ],
          "judges": {
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            },
            "anthropic/claude-sonnet-4-6:s0": {
              "error": "litellm.RateLimitError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"rate_limit_error\",\"message\":\"This request would exceed your organization's rate limit of 2,000,000 input tokens per minute (org: 82a12da9-4765-4033-8373-606812298aac, model: claude-sonnet-4-6). For details, refer to: https://docs.claude.com/en/api/rate-limits. You can see the response headers for current usage. Reduce the prompt length or the maximum tokens requested, or try again later. View your current limits at https://console.anthropic.com/settings/limits. You may also contact sales at https://claude.com/contact-sales to discuss your options for a rate limit increase.\"},\"request_id\":\"req_011CcQpTPGwjjw16XkrxordG\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
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            },
            "openai/gpt-5.4:s1": {
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              "score": 2,
              "reasoning": "This is a classic riddle where you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, not 25."
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