{
  "run_id": "2026-06-25T11-04-42",
  "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 set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly applies transitive reasoning using subset logic to conclude that all bloops are lazzies, though it could have briefly mentioned the transitive property by name for added clarity."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly answers the question and provides a clear, concise, and logically sound explanation using the concept of subsets to demonstrate the transitive property."
                }
              }
            },
            {
              "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": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies transitive logic using subset relationships to conclude that all bloops are lazzies, with a clear and accurate explanation."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the conclusion and provides a clear, logical explanation using the concept of subsets to demonstrate the transitive relationship."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "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:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly applies transitive reasoning using subset logic to conclude that all bloops are lazzies, though it could have briefly mentioned the transitive property by name for added clarity."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly answers the question and provides a clear, concise, and logically sound explanation using the concept of subsets to demonstrate the transitive property."
            },
            "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": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic using subset relationships to conclude that all bloops are lazzies, with a clear and accurate explanation."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the conclusion and provides a clear, logical explanation using the concept of subsets to demonstrate the transitive relationship."
            }
          },
          "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 because it properly applies transitive class inclusion: if bloops are a subset of razzies and razzies are a subset of lazzies, then bloops are a subset of lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The answer is correct and the logical chain is clearly explained using transitive reasoning, though it contains a minor typo ('lazzy' instead of 'lazzie') which slightly detracts from the otherwise solid response."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct, provides a clear explanation of the deductive step, and accurately identifies the formal logical principle (transitivity) at work."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly 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": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies transitive logic to conclude that bloops are lazzies, and clearly explains the chain of inclusion that leads to the answer."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent because it correctly identifies the transitive relationship and explains it clearly using the concept of inclusion."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct because it properly applies transitive class inclusion: if bloops are a subset of razzies and razzies are a subset of lazzies, then bloops are a subset of lazzies."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The answer is correct and the logical chain is clearly explained using transitive reasoning, though it contains a minor typo ('lazzy' instead of 'lazzie') which slightly detracts from the otherwise solid response."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct, provides a clear explanation of the deductive step, and accurately identifies the formal logical principle (transitivity) at work."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly 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": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic to conclude that bloops are lazzies, and clearly explains the chain of inclusion that leads to the answer."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent because it correctly identifies the transitive relationship and explains it clearly using the concept of inclusion."
            }
          },
          "majority_correct": true,
          "avg_score": 4.83
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly 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": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies transitive logic (syllogism), clearly explains each step, uses set notation to illustrate the relationship, and arrives at the correct conclusion that all bloops are lazzies."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is excellent because it provides a correct answer supported by a clear step-by-step breakdown, an identification of the logical principle (syllogism), and a formal set notation."
                }
              }
            },
            {
              "sample_index": 1,
              "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": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies transitive logic/syllogism, clearly explains each step, uses set notation to illustrate the relationship, and arrives at the correct conclusion."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response provides a perfect step-by-step breakdown and correctly identifies the logical structure as a syllogism using formal notation."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly 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": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic (syllogism), clearly explains each step, uses set notation to illustrate the relationship, and arrives at the correct conclusion that all bloops are lazzies."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is excellent because it provides a correct answer supported by a clear step-by-step breakdown, an identification of the logical principle (syllogism), and a formal set notation."
            },
            "openai/gpt-5.4:s1": {
              "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:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic/syllogism, clearly explains each step, uses set notation to illustrate the relationship, and arrives at the correct conclusion."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response provides a perfect step-by-step breakdown and correctly identifies the logical structure as a syllogism using formal 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 correctly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies transitive syllogistic reasoning, clearly walking through each logical step and arriving at the correct conclusion that all bloops are lazzies."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is excellent because it correctly answers the question, provides a clear step-by-step logical breakdown, and identifies the underlying principle of syllogistic reasoning."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is logically correct and clearly applies transitive 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 identifies both premises, draws the valid conclusion, and even names the underlying logical principle (transitive property) with a symbolic representation."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response is correct and clearly explains the transitive logic, but its structure is slightly redundant by stating the conclusion both within the steps and in the final summary."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive syllogistic reasoning, clearly walking through each logical step and arriving at the correct conclusion that all bloops are lazzies."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is excellent because it correctly answers the question, provides a clear step-by-step logical breakdown, and identifies the underlying principle of syllogistic reasoning."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is logically correct and clearly applies transitive reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic, clearly identifies both premises, draws the valid conclusion, and even names the underlying logical principle (transitive property) with a symbolic representation."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response is correct and clearly explains the transitive logic, but its structure is slightly redundant by stating the conclusion both within the steps and in the final summary."
            }
          },
          "majority_correct": true,
          "avg_score": 4.83
        },
        "anthropic/claude-haiku-4-5": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is logically correct, clearly applies transitive set inclusion, and provides a concise step-by-step explanation leading to the right conclusion."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies transitive logic, clearly shows the step-by-step chain of reasoning, arrives at the right conclusion, and even references the formal set theory principle (A \u2286 B and B \u2286 C \u2192 A \u2286 C) to support the answer."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly breaks down the premises into a clear logical chain and reinforces the conclusion by accurately citing the formal transitive property."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies transitive categorical 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 the transitive property of logical implication, clearly laying out the syllogistic reasoning chain and arriving at the correct conclusion."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent, as it correctly states the conclusion, shows the logical steps, identifies the underlying principle, and provides a clear analogy."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is logically correct, clearly applies transitive set inclusion, and provides a concise step-by-step explanation leading to the right conclusion."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic, clearly shows the step-by-step chain of reasoning, arrives at the right conclusion, and even references the formal set theory principle (A \u2286 B and B \u2286 C \u2192 A \u2286 C) to support the answer."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly breaks down the premises into a clear logical chain and reinforces the conclusion by accurately citing the formal transitive property."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies the transitive property of logical implication, clearly laying out the syllogistic reasoning chain and arriving at the correct conclusion."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent, as it correctly states the conclusion, shows the logical steps, identifies the underlying principle, and provides a clear analogy."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "gemini/gemini-2.5-pro": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies transitive categorical 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 explains each premise and the conclusion, and provides a helpful real-world analogy to illustrate the reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent because it correctly breaks down the premises, clearly shows the logical steps, and provides a perfect real-world analogy to illustrate the concept."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is logically correct and clearly applies transitive categorical 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 explains each step, arrives at the right conclusion, and helpfully provides a real-world analogy to reinforce understanding."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly answers the question, provides a perfectly clear step-by-step logical breakdown, and uses an effective analogy to make the reasoning easy to understand."
                }
              }
            }
          ],
          "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 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 explains each premise and the conclusion, and provides a helpful real-world analogy to illustrate the reasoning."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent because it correctly breaks down the premises, clearly shows the logical steps, and provides a perfect real-world analogy to illustrate the concept."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is logically correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic, clearly explains each step, arrives at the right conclusion, and helpfully provides a real-world analogy to reinforce understanding."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly answers the question, provides a perfectly clear step-by-step logical breakdown, and uses an effective analogy to make the reasoning easy to understand."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "gemini/gemini-2.5-flash": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies transitive categorical 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 explains each step of the syllogism, and provides a helpful real-world analogy to reinforce the conclusion."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is flawless, breaking down the transitive logic clearly and reinforcing the concept with a perfect, easy-to-understand analogy."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly applies transitive class inclusion: 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 each step of the syllogism to reach the valid conclusion that all bloops are lazzies."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent because it clearly explains the meaning of each premise and then logically connects them to form a sound and easy-to-understand conclusion."
                }
              }
            }
          ],
          "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 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 explains each step of the syllogism, and provides a helpful real-world analogy to reinforce the conclusion."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is flawless, breaking down the transitive logic clearly and reinforcing the concept with a perfect, easy-to-understand analogy."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is correct and clearly applies transitive class inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic, clearly explaining each step of the syllogism to reach the valid conclusion that all bloops are lazzies."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent because it clearly explains the meaning of each premise and then logically connects them to form a sound and easy-to-understand conclusion."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "ollama/llama3": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        }
      }
    },
    "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?",
      "evaluations": {
        "openai/gpt-5.4": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly sets up the equations, solves them accurately, and arrives at the correct answer that the ball costs 5 cents."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of 5 cents while avoiding the common intuitive trap of answering 10 cents."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly sets up the algebraic equation and shows clear, logical steps to solve for the correct answer."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
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            "openai/gpt-5.4:s1": {
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        "openai/gpt-5.4-mini": {
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        },
        "ollama/llama3": {
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          "majority_correct": null,
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      }
    },
    "spatial-1": {
      "prompt": "I'm facing north. I turn right. I turn right again. I turn left. What direction am I facing?",
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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_011CcPtqttF7PxPWoFMnCb6w\"}"
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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_011CcPtrhm3CEaadwtZ5aRqW\"}"
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                "anthropic/claude-sonnet-4-6": {
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                "anthropic/claude-sonnet-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_011CcPtvpMnKE3N14eR5j7Ui\"}"
                },
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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_011CcPtuk9kBmxHHhfpVf3bY\"}"
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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_011CcPtvpMnKE3N14eR5j7Ui\"}"
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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_011CcPtx4tBLzZDeYkVoycxr\"}"
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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_011CcPtx4tBLzZDeYkVoycxr\"}"
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              "score": 5,
              "reasoning": "It identifies the intended lateral-thinking answer and clearly explains how pushing a car to a hotel in Monopoly leads to losing one's fortune."
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            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
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              "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_011CcPtzvAPRN3Su1DtSa5Mf\"}"
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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_011CcPu2mzZvAnpDkjb866JT\"}"
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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_011CcPtzvAPRN3Su1DtSa5Mf\"}"
            },
            "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 classic Monopoly riddle and clearly explains how pushing the car token to a hotel causes him to lose his fortune."
            },
            "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_011CcPu2mzZvAnpDkjb866JT\"}"
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              "score": 5,
              "reasoning": "The response correctly identifies the classic answer to the riddle and provides a clear, concise explanation of how each element of the riddle maps to the game of Monopoly."
            }
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              "verdicts": {
                "openai/gpt-5.4": {
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                  "score": 5,
                  "reasoning": "It identifies the classic Monopoly riddle correctly and provides a clear, coherent explanation connecting the car token, hotel space, and losing his fortune through bankruptcy."
                },
                "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_011CcPu3cA1NkWZ8Dm8WfbTG\"}"
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                  "score": 5,
                  "reasoning": "The response identifies the classic Monopoly riddle correctly and gives a clear, coherent explanation connecting the car, hotel, and losing a fortune."
                },
                "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_011CcPu4pwURo63NsKKWXUNn\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response perfectly deconstructs the riddle, explaining the required shift from literal to lateral thinking and clearly connecting each keyword to the correct context of the game Monopoly."
                }
              }
            }
          ],
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              "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_011CcPu3cA1NkWZ8Dm8WfbTG\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
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            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response identifies the classic Monopoly riddle correctly and gives a clear, coherent explanation connecting the car, hotel, and losing a fortune."
            },
            "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_011CcPu4pwURo63NsKKWXUNn\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response perfectly deconstructs the riddle, explaining the required shift from literal to lateral thinking and clearly connecting each keyword to the correct context of the game Monopoly."
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          "majority_correct": true,
          "avg_score": 5.0
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        "gemini/gemini-2.5-flash": {
          "samples": [
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              "sample_index": 0,
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                  "correct": false,
                  "score": 1,
                  "reasoning": "The response misses the classic Monopoly riddle answer: he landed on a hotel after pushing his car token and lost his fortune in the game."
                },
                "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_011CcPu6KJKXHXUpSmX1Xaxw\"}"
                },
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                  "correct": false,
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              }
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            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "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 through bankruptcy."
                },
                "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_011CcPu7NUbTfLaGdYyaxJE5\"}"
                },
                "gemini/gemini-2.5-pro": {
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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_011CcPu6KJKXHXUpSmX1Xaxw\"}"
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            },
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            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
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    },
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      "prompt": "What does this function return for input 5? def f(n): return n if n <= 1 else f(n-1) + f(n-2)",
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                  "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_011CcPu8HGb6KBkDAivAeis6\"}"
                },
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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_011CcPu9J1mTirBNDGCZyjvi\"}"
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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_011CcPu8HGb6KBkDAivAeis6\"}"
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              "correct": true,
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              "reasoning": "The response correctly identifies the recursive Fibonacci function, applies the base cases properly, and accurately computes f(5) = 5 with clear step-by-step reasoning."
            },
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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_011CcPu9J1mTirBNDGCZyjvi\"}"
            },
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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_011CcPuASqrtQvYfHNTKYdcv\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
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                  "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_011CcPuCk9UHwYZnDdvLNtMf\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
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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_011CcPuASqrtQvYfHNTKYdcv\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response provides a clear and correct bottom-up calculation, but this method does not trace the actual top-down execution path of the recursive function."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the recursion as Fibonacci-style, works through the needed subcalls accurately, and arrives at the correct return value of 5."
            },
            "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_011CcPuCk9UHwYZnDdvLNtMf\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
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              "score": 4,
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        "anthropic/claude-opus-4-6": {
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              "sample_index": 0,
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                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls and base cases, and reaches the correct result of 5 with clear 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_011CcPuEUNVgrFVnXvQ8BqVb\"}"
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                  "reasoning": "The response correctly identifies the recursion as Fibonacci, evaluates the needed base cases and recursive calls accurately, and concludes that f(5) = 5."
                },
                "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_011CcPuFhTpeSfbzm5UYmAdj\"}"
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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_011CcPuEUNVgrFVnXvQ8BqVb\"}"
            },
            "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 recursion as Fibonacci, evaluates the needed base cases and recursive calls accurately, and concludes that f(5) = 5."
            },
            "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_011CcPuFhTpeSfbzm5UYmAdj\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is clear and correct, but it calculates the result from the bottom up rather than by tracing the actual top-down recursive calls of the function."
            }
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          "majority_correct": true,
          "avg_score": 4.5
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        "anthropic/claude-sonnet-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursion accurately, and reaches the correct result f(5) = 5."
                },
                "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_011CcPuGc7dpA7HnqC7Pd3BW\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning correctly traces the recursive calls to the base cases and calculates the correct final answer, but the step-by-step explanation is slightly disorganized."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "It correctly identifies the function as Fibonacci, traces the recursive calls accurately, and computes f(5) = 5 without errors."
                },
                "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_011CcPuHjq1KyZYAHzfSZQg6\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is clear and correct, but it presents a simplified, linear trace rather than showing the full, branching tree of redundant recursive calls that actually occurs."
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          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursion accurately, and reaches the correct result f(5) = 5."
            },
            "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_011CcPuGc7dpA7HnqC7Pd3BW\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning correctly traces the recursive calls to the base cases and calculates the correct final answer, but the step-by-step explanation is slightly disorganized."
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            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "It correctly identifies the function as Fibonacci, traces the recursive calls accurately, and computes f(5) = 5 without errors."
            },
            "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_011CcPuHjq1KyZYAHzfSZQg6\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
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          "majority_correct": true,
          "avg_score": 4.5
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        "anthropic/claude-haiku-4-5": {
          "samples": [
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                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is correct and clearly traces the recursive Fibonacci computation to show that f(5) = 5."
                },
                "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_011CcPuJnmPmCiPLoyDgwfos\"}"
                },
                "gemini/gemini-2.5-pro": {
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            {
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                "openai/gpt-5.4": {
                  "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_011CcPuLY7PiJeZivXZK8yFp\"}"
                },
                "gemini/gemini-2.5-pro": {
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          "judges": {
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              "correct": true,
              "score": 5,
              "reasoning": "The response is correct and clearly traces the recursive Fibonacci computation to show that f(5) = 5."
            },
            "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_011CcPuJnmPmCiPLoyDgwfos\"}"
            },
            "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": {
              "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_011CcPuLY7PiJeZivXZK8yFp\"}"
            },
            "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_011CcPuMvpfS5PKwN1RMAVq8\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "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_011CcPuQajWoaWTgRwHqWQWm\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
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                  "reasoning": "The response correctly identifies the function's logic, provides a flawless step-by-step trace of the recursive calls, and clearly explains how the final result is computed."
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              "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_011CcPuMvpfS5PKwN1RMAVq8\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function's purpose and provides a flawless, step-by-step trace of the recursive calls and substitutions, making the logic clear and easy to follow."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the recursive calls accurately, and concludes that f(5) = 5."
            },
            "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_011CcPuQajWoaWTgRwHqWQWm\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function's logic, provides a flawless step-by-step trace of the recursive calls, and clearly explains how the final result is computed."
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          },
          "majority_correct": true,
          "avg_score": 5.0
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        "gemini/gemini-2.5-flash": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
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                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the base cases and recursive substitutions accurately, and concludes that f(5) = 5."
                },
                "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_011CcPuSC72rg7rjLJYraPXH\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly traces the recursive function and identifies the underlying Fibonacci sequence to find the correct answer, but its linear step-by-step trace is a simplification of the actual execution path which involves multiple redundant calculations."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the needed base cases and substitutions accurately, and concludes that f(5) = 5."
                },
                "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_011CcPuU2tTN6LPLgnfLU1uL\"}"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response provides a perfectly clear and accurate step-by-step trace of the recursive calls, correctly identifying the base cases and substituting the values back to reach the final answer."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the base cases and recursive substitutions accurately, and concludes that f(5) = 5."
            },
            "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_011CcPuSC72rg7rjLJYraPXH\"}"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly traces the recursive function and identifies the underlying Fibonacci sequence to find the correct answer, but its linear step-by-step trace is a simplification of the actual execution path which involves multiple redundant calculations."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the needed base cases and substitutions accurately, and concludes that f(5) = 5."
            },
            "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_011CcPuU2tTN6LPLgnfLU1uL\"}"
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response provides a perfectly clear and accurate step-by-step trace of the recursive calls, correctly identifying the base cases and substituting the values back to reach the final answer."
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        },
        "ollama/llama3": {
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          "judges": {},
          "majority_correct": null,
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      }
    },
    "ambiguity-1": {
      "prompt": "The trophy doesn't fit in the suitcase because it's too big. What is too big?",
      "evaluations": {
        "openai/gpt-5.4": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly resolves the pronoun by identifying the trophy as the item that is too big to fit in the suitcase."
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                "anthropic/claude-sonnet-4-6": {
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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_011CcPuXwd4WP8y9VsrmJ7P3\"}"
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            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
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                },
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                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
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            "openai/gpt-5.4:s1": {
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            },
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            },
            "gemini/gemini-2.5-pro:s1": {
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                "gemini/gemini-2.5-pro": {
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              "correct": true,
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            },
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            "openai/gpt-5.4:s1": {
              "correct": true,
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              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trophy as too big, which is the logical interpretation since the trophy is what cannot fit in the suitcase, though a brief explanation of the reasoning would have improved the response."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly uses common-sense reasoning to resolve the ambiguous pronoun, as it is logically necessary for the trophy to be too big, not the suitcase."
            }
          },
          "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 correctly recognizes the riddle\u2019s wording: you can subtract 5 from 25 only once, because after that the starting number is no longer 25."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response gives the clever/trick answer that you can only subtract 5 from 25 once (after which it becomes 20), which is a valid and witty interpretation of the question, though it ignores the more straightforward mathematical answer of 5 times (25/5=5)."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response provides a sound logical explanation by correctly interpreting the question as a literal word puzzle rather than a mathematical division problem."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly interprets the riddle-like wording: you can subtract 5 from 25 only once, because after the first subtraction the number is no longer 25."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trick in the question and provides a clear logical explanation for why the answer is 'only once,' though it's a somewhat subjective riddle that could also reasonably be answered as 5 times mathematically."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is sound because it correctly identifies the semantic trick in the question, where the number 25 ceases to exist after the first subtraction."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly recognizes the riddle\u2019s wording: you can subtract 5 from 25 only once, because after that the starting number is no longer 25."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response gives the clever/trick answer that you can only subtract 5 from 25 once (after which it becomes 20), which is a valid and witty interpretation of the question, though it ignores the more straightforward mathematical answer of 5 times (25/5=5)."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response provides a sound logical explanation by correctly interpreting the question as a literal word puzzle rather than a mathematical division problem."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly interprets the riddle-like wording: you can subtract 5 from 25 only once, because after the first subtraction the number is no longer 25."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trick in the question and provides a clear logical explanation for why the answer is 'only once,' though it's a somewhat subjective riddle that could also reasonably be answered as 5 times mathematically."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is sound because it correctly identifies the semantic trick in the question, where the number 25 ceases to exist after the first subtraction."
            }
          },
          "majority_correct": true,
          "avg_score": 4.33
        },
        "openai/gpt-5.4-mini": {
          "samples": [
            {
              "sample_index": 0,
              "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, because after the first subtraction you are subtracting from 20, not 25."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trick in the question and provides a clear explanation for why the answer is 'once' rather than the expected '5 times.'"
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is clever and provides a sound logical justification for its answer by interpreting the question literally as a word puzzle."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "This is the classic riddle interpretation: you can subtract 5 from 25 only once, after which you are subtracting from 20, so the response is correct and clearly explained."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trick in the question\u2014you can only subtract 5 from 25 once before it's no longer 25\u2014and provides a clear explanation, though the reasoning could be stated more concisely."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning correctly interprets the question as a literal riddle, logically explaining that the number 25 is only available for the first subtraction."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly interprets the riddle that you can subtract 5 from 25 only once, because after the first subtraction you are subtracting from 20, not 25."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trick in the question and provides a clear explanation for why the answer is 'once' rather than the expected '5 times.'"
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is clever and provides a sound logical justification for its answer by interpreting the question literally as a word puzzle."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "This is the classic riddle interpretation: you can subtract 5 from 25 only once, after which you are subtracting from 20, so the response is correct and clearly explained."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trick in the question\u2014you can only subtract 5 from 25 once before it's no longer 25\u2014and provides a clear explanation, though the reasoning could be stated more concisely."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning correctly interprets the question as a literal riddle, logically explaining that the number 25 is only available for the first subtraction."
            }
          },
          "majority_correct": true,
          "avg_score": 4.33
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the trick in the question and clearly explains that only the first subtraction is from 25, making the reasoning accurate and complete."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trick interpretation and explains the logic clearly, though it could acknowledge that the more straightforward mathematical answer (5 times) is also valid depending on interpretation."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is very clear and logically justifies the 'trick question' interpretation, but it misses a perfect score by not acknowledging the alternative mathematical answer."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response gives the standard correct interpretation of the trick question and clearly explains that only the first subtraction is from 25."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trick nature of the question and provides the right answer with clear explanation, though it could be more concise."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trick nature of the question and provides clear, logical reasoning for its answer, though it could have been improved by also acknowledging the mathematical interpretation (25 / 5 = 5)."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the trick in the question and clearly explains that only the first subtraction is from 25, making the reasoning accurate and complete."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trick interpretation and explains the logic clearly, though it could acknowledge that the more straightforward mathematical answer (5 times) is also valid depending on interpretation."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is very clear and logically justifies the 'trick question' interpretation, but it misses a perfect score by not acknowledging the alternative mathematical answer."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response gives the standard correct interpretation of the trick question and clearly explains that only the first subtraction is from 25."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trick nature of the question and provides the right answer with clear explanation, though it could be more concise."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trick nature of the question and provides clear, logical reasoning for its answer, though it could have been improved by also acknowledging the mathematical interpretation (25 / 5 = 5)."
            }
          },
          "majority_correct": true,
          "avg_score": 4.33
        },
        "anthropic/claude-sonnet-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": false,
                  "score": 2,
                  "reasoning": "The response gives the arithmetic count of repeated subtraction, but for this classic wording the correct answer is 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 solves the mathematical problem step by step and arrives at 5, while also acknowledging the classic riddle interpretation, though it slightly undersells the riddle answer which is arguably the more clever and intended answer to this well-known trick question."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response provides a clear, correct, and logical step-by-step breakdown for the mathematical interpretation, but it does not acknowledge the common 'riddle' interpretation."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": false,
                  "score": 2,
                  "reasoning": "The response acknowledges the classic interpretation but still endorses 5, whereas this wording is typically a trick question whose intended answer is that you can subtract 5 from 25 only once."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies both the straightforward mathematical answer (5 times) and acknowledges the classic trick interpretation, though it slightly undersells the trick answer by calling it non-mathematical when it's actually a valid lateral thinking interpretation of the question."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response provides a perfect, step-by-step mathematical breakdown and also correctly identifies and explains the common trick/riddle interpretation of the question."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": false,
              "score": 2,
              "reasoning": "The response gives the arithmetic count of repeated subtraction, but for this classic wording the correct answer is only once because after the first subtraction you are no longer subtracting from 25."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly solves the mathematical problem step by step and arrives at 5, while also acknowledging the classic riddle interpretation, though it slightly undersells the riddle answer which is arguably the more clever and intended answer to this well-known trick question."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response provides a clear, correct, and logical step-by-step breakdown for the mathematical interpretation, but it does not acknowledge the common 'riddle' interpretation."
            },
            "openai/gpt-5.4:s1": {
              "correct": false,
              "score": 2,
              "reasoning": "The response acknowledges the classic interpretation but still endorses 5, whereas this wording is typically a trick question whose intended answer is that you can subtract 5 from 25 only once."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies both the straightforward mathematical answer (5 times) and acknowledges the classic trick interpretation, though it slightly undersells the trick answer by calling it non-mathematical when it's actually a valid lateral thinking interpretation of the question."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response provides a perfect, step-by-step mathematical breakdown and also correctly identifies and explains the common trick/riddle interpretation of the question."
            }
          },
          "majority_correct": true,
          "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 trick question because you can subtract 5 from 25 only once, after which you are subtracting 5 from 20, so the response reaches the arithmetic result but misses the intended reasoning."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies 5 as the answer, shows clear step-by-step work, and helpfully notes the division equivalence, though it misses the classic trick answer ('only once, because after that you're subtracting from 20') that makes this a well-known riddle."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is very clear with a step-by-step breakdown, but it doesn't acknowledge the ambiguity of this classic riddle, preventing a perfect score."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": false,
                  "score": 2,
                  "reasoning": "This is a classic trick question because you can subtract 5 from 25 only once, after which you are subtracting 5 from 20, so the response is incorrect despite showing valid repeated subtraction arithmetic."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies 5 subtractions and shows the work clearly, though it misses the classic trick answer that you can subtract 5 from 25 only once (after which it becomes 20, not 25), which is the typical intent of this riddle-style question."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response provides a clear, step-by-step mathematical breakdown for the most common interpretation, but it does not acknowledge the question's classic ambiguity."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": false,
              "score": 2,
              "reasoning": "This is a classic trick question because you can subtract 5 from 25 only once, after which you are subtracting 5 from 20, so the response reaches the arithmetic result but misses the intended reasoning."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies 5 as the answer, shows clear step-by-step work, and helpfully notes the division equivalence, though it misses the classic trick answer ('only once, because after that you're subtracting from 20') that makes this a well-known riddle."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is very clear with a step-by-step breakdown, but it doesn't acknowledge the ambiguity of this classic riddle, preventing a perfect score."
            },
            "openai/gpt-5.4:s1": {
              "correct": false,
              "score": 2,
              "reasoning": "This is a classic trick question because you can subtract 5 from 25 only once, after which you are subtracting 5 from 20, so the response is incorrect despite showing valid repeated subtraction arithmetic."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies 5 subtractions and shows the work clearly, though it misses the classic trick answer that you can subtract 5 from 25 only once (after which it becomes 20, not 25), which is the typical intent of this riddle-style question."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response provides a clear, step-by-step mathematical breakdown for the most common interpretation, but it does not acknowledge the question's classic ambiguity."
            }
          },
          "majority_correct": true,
          "avg_score": 3.33
        },
        "gemini/gemini-2.5-pro": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "It correctly identifies the riddle answer as once and appropriately notes the alternative arithmetic interpretation, showing clear and accurate reasoning."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies both the riddle interpretation (only once, since after the first subtraction the number is no longer 25) and the mathematical interpretation (5 times until reaching zero), providing clear and accurate reasoning for both answers."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies that the question is a riddle with two valid interpretations (a literal one and a mathematical one) and provides a clear, well-explained answer for both."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the riddle interpretation as once and also appropriately notes the alternative arithmetic interpretation, showing clear and accurate reasoning."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies both interpretations of the question, providing the classic riddle answer (once, since after the first subtraction you're no longer subtracting from 25) and the straightforward mathematical answer (5 times until reaching zero), with clear step-by-step verification."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the question's ambiguity, providing and clearly explaining both the literal 'riddle' interpretation and the standard mathematical one."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "It correctly identifies the riddle answer as once and appropriately notes the alternative arithmetic interpretation, showing clear and accurate reasoning."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies both the riddle interpretation (only once, since after the first subtraction the number is no longer 25) and the mathematical interpretation (5 times until reaching zero), providing clear and accurate reasoning for both answers."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies that the question is a riddle with two valid interpretations (a literal one and a mathematical one) and provides a clear, well-explained answer for both."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the riddle interpretation as once and also appropriately notes the alternative arithmetic interpretation, showing clear and accurate reasoning."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies both interpretations of the question, providing the classic riddle answer (once, since after the first subtraction you're no longer subtracting from 25) and the straightforward mathematical answer (5 times until reaching zero), with clear step-by-step verification."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the question's ambiguity, providing and clearly explaining both the literal 'riddle' interpretation and the standard mathematical one."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "gemini/gemini-2.5-flash": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "It correctly identifies the trick interpretation that you can subtract 5 from 25 only once and also clearly notes the alternate arithmetic interpretation of repeated subtraction."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies both interpretations of the trick question - the literal answer (once, since after that you're subtracting from 20) and the practical mathematical answer (5 times), demonstrating good reasoning, though it could have been more concise."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent because it successfully identifies the question's ambiguity, providing and justifying the correct answers for both the literal and mathematical interpretations."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the standard trick-answer as once and also appropriately clarifies the alternative arithmetic interpretation, showing strong reasoning."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies both interpretations of the trick question - the literal answer (once, since after that you no longer have 25) and the practical mathematical answer (5 times until reaching zero), demonstrating good reasoning, though it's slightly verbose."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is excellent because it correctly identifies the ambiguity of the question, providing and clearly explaining both the literal/trick answer and the conventional mathematical interpretation."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "It correctly identifies the trick interpretation that you can subtract 5 from 25 only once and also clearly notes the alternate arithmetic interpretation of repeated subtraction."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies both interpretations of the trick question - the literal answer (once, since after that you're subtracting from 20) and the practical mathematical answer (5 times), demonstrating good reasoning, though it could have been more concise."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent because it successfully identifies the question's ambiguity, providing and justifying the correct answers for both the literal and mathematical interpretations."
            },
            "openai/gpt-5.4:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the standard trick-answer as once and also appropriately clarifies the alternative arithmetic interpretation, showing strong reasoning."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies both interpretations of the trick question - the literal answer (once, since after that you no longer have 25) and the practical mathematical answer (5 times until reaching zero), demonstrating good reasoning, though it's slightly verbose."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is excellent because it correctly identifies the ambiguity of the question, providing and clearly explaining both the literal/trick answer and the conventional mathematical interpretation."
            }
          },
          "majority_correct": true,
          "avg_score": 4.67
        },
        "ollama/llama3": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        }
      }
    }
  }
}