{
  "run_id": "2026-08-17T10-13-46",
  "prompts": {
    "logic-1": {
      "prompt": "If all bloops are razzies and all razzies are lazzies, are all bloops lazzies?",
      "evaluations": {
        "openai/gpt-5.4": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "openai/gpt-5.4-mini": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies transitive logic through a clear syllogism, accurately concluding that all bloops are lazzies with well-structured step-by-step reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is excellent because it not only provides the correct answer but also presents a clear, step-by-step logical breakdown and correctly identifies the formal name for this type of reasoning."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies this as a syllogism, applies transitive logic accurately, uses set notation to clearly 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 reasoning is excellent because it correctly identifies the logical structure as a syllogism, explains the transitive relationship clearly, and uses formal set notation to confirm the valid conclusion."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic through a clear syllogism, accurately concluding that all bloops are lazzies with well-structured step-by-step reasoning."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is excellent because it not only provides the correct answer but also presents a clear, step-by-step logical breakdown and correctly identifies the formal name for this type of reasoning."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies this as a syllogism, applies transitive logic accurately, uses set notation to clearly illustrate the relationship, and arrives at the correct conclusion that all bloops are lazzies."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent because it correctly identifies the logical structure as a syllogism, explains the transitive relationship clearly, and uses formal set notation to confirm the valid conclusion."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "anthropic/claude-sonnet-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies transitive logic (A\u2192B, B\u2192C, therefore A\u2192C), clearly identifies both premises, draws the correct conclusion, and explains the underlying logical principle concisely."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is excellent because it correctly answers the question, clearly lays out the premises, and accurately identifies the logical principle of transitivity that guarantees the conclusion."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies transitive logic through a valid syllogism, clearly stating both premises and deriving the correct conclusion that all bloops are lazzies."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response is correct and clearly structured, but its explanation of the formal principle mixes terminology slightly, preventing a perfect score."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic (A\u2192B, B\u2192C, therefore A\u2192C), clearly identifies both premises, draws the correct conclusion, and explains the underlying logical principle concisely."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is excellent because it correctly answers the question, clearly lays out the premises, and accurately identifies the logical principle of transitivity that guarantees the conclusion."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic through a valid syllogism, clearly stating both premises and deriving the correct conclusion that all bloops are lazzies."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response is correct and clearly structured, but its explanation of the formal principle mixes terminology slightly, preventing a perfect score."
            }
          },
          "majority_correct": true,
          "avg_score": 4.75
        },
        "anthropic/claude-haiku-4-5": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies the transitive property of logical implication, clearly laying out the syllogism and arriving at the correct conclusion with a concise and accurate explanation."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is excellent, as it correctly answers the question, accurately identifies the underlying logical principle (transitive property), and provides a clear, intuitive explanation."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "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 steps and arriving at the correct conclusion that all bloops are lazzies."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent as it correctly identifies the logical rule of transitivity and explains it both formally and through a clear, step-by-step application to the problem."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies the transitive property of logical implication, clearly laying out the syllogism and arriving at the correct conclusion with a concise and accurate explanation."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is excellent, as it correctly answers the question, accurately identifies the underlying logical principle (transitive property), and provides a clear, intuitive explanation."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "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 steps and arriving at the correct conclusion that all bloops are lazzies."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent as it correctly identifies the logical rule of transitivity and explains it both formally and through a clear, step-by-step application to the problem."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "gemini/gemini-2.5-pro": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly applies transitive logic to reach the right conclusion, provides clear step-by-step reasoning, and includes an excellent visual analogy with nested boxes that makes the abstract concept intuitive and easy to understand."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response provides a flawless logical breakdown and reinforces it with a simple and perfectly accurate analogy."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the transitive property of syllogistic logic, clearly explains each premise, derives the conclusion accurately, and reinforces understanding with a helpful real-world analogy."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is excellent because it provides the correct answer, a clear step-by-step logical breakdown, and a simple, effective analogy to make the abstract concept easy to understand."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly applies transitive logic to reach the right conclusion, provides clear step-by-step reasoning, and includes an excellent visual analogy with nested boxes that makes the abstract concept intuitive and easy to understand."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response provides a flawless logical breakdown and reinforces it with a simple and perfectly accurate analogy."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the transitive property of syllogistic logic, clearly explains each premise, derives the conclusion accurately, and reinforces understanding with a helpful real-world analogy."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is excellent because it provides the correct answer, a clear step-by-step logical breakdown, and a simple, effective analogy to make the abstract concept easy to understand."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "gemini/gemini-2.5-flash": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the logical conclusion using syllogistic reasoning and accurately explains the transitive property that makes all bloops lazzies since bloops\u2286razzies\u2286lazzies."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly answers the question and provides a clear, accurate, and educational explanation of the underlying logical principle (a syllogism and the transitive property)."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the transitive property, arrives at the right conclusion, and provides a clear, intuitive explanation using set containment logic."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the conclusion, names the relevant logical principle (transitivity), and explains it perfectly with an intuitive set-inclusion analogy."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the logical conclusion using syllogistic reasoning and accurately explains the transitive property that makes all bloops lazzies since bloops\u2286razzies\u2286lazzies."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly answers the question and provides a clear, accurate, and educational explanation of the underlying logical principle (a syllogism and the transitive property)."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the transitive property, arrives at the right conclusion, and provides a clear, intuitive explanation using set containment logic."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the conclusion, names the relevant logical principle (transitivity), and explains it perfectly with an intuitive set-inclusion analogy."
            }
          },
          "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": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "openai/gpt-5.4-mini": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies both conditions, and helpfully addresses the common intuitive mistake of answering $0.10."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent as it provides a clear algebraic solution, verifies the answer against both conditions, and proactively addresses the common intuitive mistake."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies both conditions, and even addresses the common intuitive mistake of answering $0.10."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response provides a flawless, step-by-step algebraic solution, verifies the result against both conditions, and addresses the common intuitive error."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies both conditions, and helpfully addresses the common intuitive mistake of answering $0.10."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent as it provides a clear algebraic solution, verifies the answer against both conditions, and proactively addresses the common intuitive mistake."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies both conditions, and even addresses the common intuitive mistake of answering $0.10."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response provides a flawless, step-by-step algebraic solution, verifies the result against both conditions, and addresses the common intuitive error."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "anthropic/claude-sonnet-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly sets up and solves the system of equations, arrives at the right answer of $0.05, verifies the solution, and even addresses the common intuitive mistake of answering $0.10."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is flawless, presenting a clear algebraic solution, verifying the answer, and proactively addressing the common cognitive trap associated with the problem."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly sets up and solves the system of equations, arrives at the right answer of $0.05, verifies the solution, and even addresses the common intuitive mistake of answering $0.10."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent because it uses a clear, step-by-step algebraic method, verifies the result, and proactively explains why the common incorrect answer is wrong."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly sets up and solves the system of equations, arrives at the right answer of $0.05, verifies the solution, and even addresses the common intuitive mistake of answering $0.10."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is flawless, presenting a clear algebraic solution, verifying the answer, and proactively addressing the common cognitive trap associated with the problem."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly sets up and solves the system of equations, arrives at the right answer of $0.05, verifies the solution, and even addresses the common intuitive mistake of answering $0.10."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent because it uses a clear, step-by-step algebraic method, verifies the result, and proactively explains why the common incorrect answer is wrong."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "anthropic/claude-haiku-4-5": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly sets up and solves the system of equations, arrives at the right answer of $0.05, and verifies the solution with a clear check."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response demonstrates excellent reasoning by clearly defining variables, setting up the correct algebraic equation, solving it step-by-step, and verifying the answer with a check."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly sets up a system of two equations, solves them through clear substitution steps, arrives at the right answer of $0.05, and verifies the solution by checking both conditions of the problem."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent because it correctly translates the word problem into a system of equations, solves it with flawless step-by-step logic, and confirms the result with a verification."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly sets up and solves the system of equations, arrives at the right answer of $0.05, and verifies the solution with a clear check."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response demonstrates excellent reasoning by clearly defining variables, setting up the correct algebraic equation, solving it step-by-step, and verifying the answer with a check."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly sets up a system of two equations, solves them through clear substitution steps, arrives at the right answer of $0.05, and verifies the solution by checking both conditions of the problem."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent because it correctly translates the word problem into a system of equations, solves it with flawless step-by-step logic, and confirms the result with a verification."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "gemini/gemini-2.5-pro": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the common mistake, sets up the algebra properly, solves for the correct answer of $0.05, and verifies the solution by checking both conditions of the problem."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response is excellent because it not only provides the correct answer but also addresses the common incorrect guess and walks through the correct logic in a clear, step-by-step manner."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly solves the problem using clear algebraic reasoning, arrives at the right answer of $0.05, and verifies the solution by checking both conditions of the problem."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is flawless, presenting a clear algebraic setup, a step-by-step solution, and a final verification to prove its correctness."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the common mistake, sets up the algebra properly, solves for the correct answer of $0.05, and verifies the solution by checking both conditions of the problem."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response is excellent because it not only provides the correct answer but also addresses the common incorrect guess and walks through the correct logic in a clear, step-by-step manner."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly solves the problem using clear algebraic reasoning, arrives at the right answer of $0.05, and verifies the solution by checking both conditions of the problem."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is flawless, presenting a clear algebraic setup, a step-by-step solution, and a final verification to prove its correctness."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "gemini/gemini-2.5-flash": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, and verifies the solution by checking both conditions of the problem."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response flawlessly uses a step-by-step algebraic method to reach the correct answer and verifies the result against the initial conditions."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly sets up a system of two equations, applies substitution systematically, and arrives at the correct answer of $0.05 for the ball, with clear step-by-step algebraic work."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly translates the problem into algebraic equations and follows a clear, logical, step-by-step process to find the correct solution."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, and verifies the solution by checking both conditions of the problem."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response flawlessly uses a step-by-step algebraic method to reach the correct answer and verifies the result against the initial conditions."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly sets up a system of two equations, applies substitution systematically, and arrives at the correct answer of $0.05 for the ball, with clear step-by-step algebraic work."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly translates the problem into algebraic equations and follows a clear, logical, step-by-step process to find the correct solution."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "ollama/llama3": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        }
      }
    },
    "spatial-1": {
      "prompt": "I'm facing north. I turn right. I turn right again. I turn left. What direction am I facing?",
      "evaluations": {
        "openai/gpt-5.4": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "openai/gpt-5.4-mini": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly traces each turn step by step, arriving at the right answer of East with clear and accurate reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the starting direction and accurately follows each subsequent turn in a clear, step-by-step process that is easy to verify."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly traces each turn step by step, arriving at the right answer of East with clear and accurate reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response perfectly breaks down the problem into a clear, sequential, and accurate trace, making the reasoning exceptionally easy to follow."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly traces each turn step by step, arriving at the right answer of East with clear and accurate reasoning."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the starting direction and accurately follows each subsequent turn in a clear, step-by-step process that is easy to verify."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly traces each turn step by step, arriving at the right answer of East with clear and accurate reasoning."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response perfectly breaks down the problem into a clear, sequential, and accurate trace, making the reasoning exceptionally easy to follow."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "anthropic/claude-sonnet-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly traces each turn step by step, arriving at the correct final direction of East with clear and accurate reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly breaks down the problem into sequential steps, making the logic transparent and easy to follow."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly traces each turn step by step, arriving at the right answer of East with clear and accurate reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent because it methodically traces each step in the sequence, leaving no ambiguity and making the logical flow perfectly clear."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly traces each turn step by step, arriving at the correct final direction of East with clear and accurate reasoning."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly breaks down the problem into sequential steps, making the logic transparent and easy to follow."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly traces each turn step by step, arriving at the right answer of East with clear and accurate reasoning."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent because it methodically traces each step in the sequence, leaving no ambiguity and making the logical flow perfectly clear."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "anthropic/claude-haiku-4-5": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of east, with clear and accurate reasoning throughout."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly breaks down the problem into a clear, logical, and easy-to-follow sequence of steps to arrive at the correct answer."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly follows each directional turn in a clear, sequential, and accurate step-by-step process."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of east, with clear and accurate reasoning throughout."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly breaks down the problem into a clear, logical, and easy-to-follow sequence of steps to arrive at the correct answer."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly follows each directional turn in a clear, sequential, and accurate step-by-step process."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "gemini/gemini-2.5-pro": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East with clear and accurate reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly tracks the direction through each sequential turn in a clear, step-by-step manner that is easy to follow."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and accurate reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response uses a clear, step-by-step method that correctly tracks the change in direction at each turn, leading to the right conclusion."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East with clear and accurate reasoning."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks the direction through each sequential turn in a clear, step-by-step manner that is easy to follow."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and accurate reasoning."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response uses a clear, step-by-step method that correctly tracks the change in direction at each turn, leading to the right conclusion."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "gemini/gemini-2.5-flash": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and accurate reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response uses a perfect step-by-step method that is easy to follow and logically sound, arriving at the correct conclusion."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and accurate reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response uses a clear, step-by-step process that correctly tracks the change in direction at each stage, leading to the right answer."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and accurate reasoning."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response uses a perfect step-by-step method that is easy to follow and logically sound, arriving at the correct conclusion."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and accurate reasoning."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response uses a clear, step-by-step process that correctly tracks the change in direction at each stage, leading to the right answer."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "ollama/llama3": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        }
      }
    },
    "causality-1": {
      "prompt": "A man pushes his car to a hotel and loses his fortune. What happened?",
      "evaluations": {
        "openai/gpt-5.4": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "openai/gpt-5.4-mini": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the Monopoly answer and explains the key elements (car token, hotel space, paying rent), though the 'step by step' analysis is slightly padded since the answer is fairly straightforward once you recognize the riddle."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the lateral thinking required for the riddle, logically breaks down each ambiguous phrase, and provides a perfect explanation for the solution."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the Monopoly solution and explains all key elements (car token, hotel property, bankruptcy from rent), though the step-by-step framing is somewhat superficial since the insight is essentially immediate recognition of the riddle."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the classic riddle's solution and perfectly breaks down each component, logically explaining how 'car', 'hotel', and 'losing a fortune' map to the game of Monopoly."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the Monopoly answer and explains the key elements (car token, hotel space, paying rent), though the 'step by step' analysis is slightly padded since the answer is fairly straightforward once you recognize the riddle."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the lateral thinking required for the riddle, logically breaks down each ambiguous phrase, and provides a perfect explanation for the solution."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the Monopoly solution and explains all key elements (car token, hotel property, bankruptcy from rent), though the step-by-step framing is somewhat superficial since the insight is essentially immediate recognition of the riddle."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the classic riddle's solution and perfectly breaks down each component, logically explaining how 'car', 'hotel', and 'losing a fortune' map to the game of Monopoly."
            }
          },
          "majority_correct": true,
          "avg_score": 4.5
        },
        "anthropic/claude-sonnet-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the Monopoly solution and provides a clear, accurate explanation of all the puzzle's elements - the car token, hotel, and losing one's fortune."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent as it provides a complete and concise explanation, perfectly mapping every element of the misleading riddle to the specific context of the Monopoly game."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies this classic lateral thinking puzzle as a Monopoly scenario and provides a clear, accurate explanation of all elements: the car token, the hotel on another player's property, and losing his fortune by paying rent."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the classic answer to the riddle and provides a perfect, concise explanation of how each element of the puzzle maps to the game of Monopoly."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the Monopoly solution and provides a clear, accurate explanation of all the puzzle's elements - the car token, hotel, and losing one's fortune."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent as it provides a complete and concise explanation, perfectly mapping every element of the misleading riddle to the specific context of the Monopoly game."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies this classic lateral thinking puzzle as a Monopoly scenario and provides a clear, accurate explanation of all elements: the car token, the hotel on another player's property, and losing his fortune by paying rent."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the classic answer to the riddle and provides a perfect, concise explanation of how each element of the puzzle maps to the game of Monopoly."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "anthropic/claude-haiku-4-5": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the Monopoly answer and provides accurate explanation of the game mechanics, though the explanation is slightly verbose for what is a well-known riddle."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response perfectly deconstructs the riddle, clearly and accurately mapping each phrase to a specific mechanic within the game of Monopoly."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the Monopoly connection and explains the car token and hotel mechanic accurately, though it slightly overcomplicates the explanation by mentioning landing on a property they cannot afford to buy, when the core answer is simply landing on a hotel-owned property and being unable to pay the rent."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the answer and provides a comprehensive, well-structured explanation that connects every part of the riddle to the context of the game Monopoly."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the Monopoly answer and provides accurate explanation of the game mechanics, though the explanation is slightly verbose for what is a well-known riddle."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response perfectly deconstructs the riddle, clearly and accurately mapping each phrase to a specific mechanic within the game of Monopoly."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the Monopoly connection and explains the car token and hotel mechanic accurately, though it slightly overcomplicates the explanation by mentioning landing on a property they cannot afford to buy, when the core answer is simply landing on a hotel-owned property and being unable to pay the rent."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the answer and provides a comprehensive, well-structured explanation that connects every part of the riddle to the context of the game Monopoly."
            }
          },
          "majority_correct": true,
          "avg_score": 4.5
        },
        "gemini/gemini-2.5-pro": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies this classic Monopoly riddle and clearly explains all three elements: the car as a game piece, the hotel as a property improvement, and losing his fortune through bankruptcy from high rent."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the classic solution and provides a clear, step-by-step explanation of how each element of the riddle applies to the game of Monopoly."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the Monopoly answer and demonstrates clear, logical reasoning by recognizing the non-literal context, connecting all three key phrases coherently, and explaining exactly how each element maps to the game."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the non-literal nature of the question and uses a clear, step-by-step logical process to connect each element of the riddle to the correct answer."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies this classic Monopoly riddle and clearly explains all three elements: the car as a game piece, the hotel as a property improvement, and losing his fortune through bankruptcy from high rent."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the classic solution and provides a clear, step-by-step explanation of how each element of the riddle applies to the game of Monopoly."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the Monopoly answer and demonstrates clear, logical reasoning by recognizing the non-literal context, connecting all three key phrases coherently, and explaining exactly how each element maps to the game."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the non-literal nature of the question and uses a clear, step-by-step logical process to connect each element of the riddle to the correct answer."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "gemini/gemini-2.5-flash": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 3,
                  "reasoning": "The answer correctly identifies this as a Monopoly scenario (the classic lateral thinking puzzle answer is that the man is playing Monopoly, lands on a hotel, and must pay rent, losing his fortune), but the explanation about 'pushes his car' being wordplay for 'pushes his card' is incorrect - in Monopoly, the car is a game token/piece that the player literally moves, making the answer correct but the reasoning flawed."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": false,
                  "score": 4,
                  "reasoning": "The reasoning quality is high because it correctly identifies a play on words, but the answer is incorrect as the classic Monopoly solution fits all elements of the riddle more precisely."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": false,
                  "score": 2,
                  "reasoning": "The correct answer is that this is a Monopoly scenario where the man is pushing his car token to the hotel square on the board and must pay rent, losing his fortune, but the response incorrectly interprets it as a casino gambling scenario with a flawed 'play on words' explanation."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": false,
                  "score": 3,
                  "reasoning": "The response identifies the need for a play on words but provides a plausible, non-standard interpretation instead of the classic, more direct answer involving the board game Monopoly."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 3,
              "reasoning": "The answer correctly identifies this as a Monopoly scenario (the classic lateral thinking puzzle answer is that the man is playing Monopoly, lands on a hotel, and must pay rent, losing his fortune), but the explanation about 'pushes his car' being wordplay for 'pushes his card' is incorrect - in Monopoly, the car is a game token/piece that the player literally moves, making the answer correct but the reasoning flawed."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": false,
              "score": 4,
              "reasoning": "The reasoning quality is high because it correctly identifies a play on words, but the answer is incorrect as the classic Monopoly solution fits all elements of the riddle more precisely."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": false,
              "score": 2,
              "reasoning": "The correct answer is that this is a Monopoly scenario where the man is pushing his car token to the hotel square on the board and must pay rent, losing his fortune, but the response incorrectly interprets it as a casino gambling scenario with a flawed 'play on words' explanation."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": false,
              "score": 3,
              "reasoning": "The response identifies the need for a play on words but provides a plausible, non-standard interpretation instead of the classic, more direct answer involving the board game Monopoly."
            }
          },
          "majority_correct": false,
          "avg_score": 3.0
        },
        "ollama/llama3": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        }
      }
    },
    "code-1": {
      "prompt": "What does this function return for input 5? def f(n): return n if n <= 1 else f(n-1) + f(n-2)",
      "evaluations": {
        "openai/gpt-5.4": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "openai/gpt-5.4-mini": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as Fibonacci, traces through all recursive calls systematically, builds back up with accurate arithmetic, and arrives at the correct answer of 5 with clear formatting and helpful context."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is clear and correct, but it simplifies the execution trace by calculating each subproblem only once, rather than showing the multiple, redundant calls the actual code makes."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as Fibonacci, traces through all recursive calls systematically, builds the results back up accurately, and arrives at the correct answer of 5 with clear formatting and context."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the function and provides a clear, step-by-step trace to the right answer, but it simplifies the process by not showing the redundant computations that the recursive function actually performs."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as Fibonacci, traces through all recursive calls systematically, builds back up with accurate arithmetic, and arrives at the correct answer of 5 with clear formatting and helpful context."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is clear and correct, but it simplifies the execution trace by calculating each subproblem only once, rather than showing the multiple, redundant calls the actual code makes."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as Fibonacci, traces through all recursive calls systematically, builds the results back up accurately, and arrives at the correct answer of 5 with clear formatting and context."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the function and provides a clear, step-by-step trace to the right answer, but it simplifies the process by not showing the redundant computations that the recursive function actually performs."
            }
          },
          "majority_correct": true,
          "avg_score": 4.5
        },
        "anthropic/claude-sonnet-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as Fibonacci, traces all recursive calls systematically, builds back up accurately, and arrives at the correct answer of 5."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is very clear and arrives at the correct answer, but the trace simplifies the true depth-first execution order of the recursive calls."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursion to arrive at the correct answer of 5, and provides helpful context with the sequence, though the trace is slightly redundant in places."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is sound and the answer is correct, but the step-by-step trace is presented in a slightly disorganized and redundant manner that harms clarity."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as Fibonacci, traces all recursive calls systematically, builds back up accurately, and arrives at the correct answer of 5."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is very clear and arrives at the correct answer, but the trace simplifies the true depth-first execution order of the recursive calls."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursion to arrive at the correct answer of 5, and provides helpful context with the sequence, though the trace is slightly redundant in places."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is sound and the answer is correct, but the step-by-step trace is presented in a slightly disorganized and redundant manner that harms clarity."
            }
          },
          "majority_correct": true,
          "avg_score": 4.25
        },
        "anthropic/claude-haiku-4-5": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The answer is correct and the trace is clear, though noting 'already computed' implies memoization which doesn't exist in this plain recursive function, but the final result of 5 is accurate."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is clear and correctly traces the recursive logic, but the trace format is slightly non-standard as it reuses intermediate results as if the function were memoized."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the function as Fibonacci, traces through the recursion accurately, and arrives at the correct answer of 5, though the full expansion tree is slightly redundant given the cleaner bottom-up verification provided afterward."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The final bottom-up calculation is clear and correct, but the initial top-down expansion of the recursive calls is confusingly presented."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The answer is correct and the trace is clear, though noting 'already computed' implies memoization which doesn't exist in this plain recursive function, but the final result of 5 is accurate."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is clear and correctly traces the recursive logic, but the trace format is slightly non-standard as it reuses intermediate results as if the function were memoized."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the function as Fibonacci, traces through the recursion accurately, and arrives at the correct answer of 5, though the full expansion tree is slightly redundant given the cleaner bottom-up verification provided afterward."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The final bottom-up calculation is clear and correct, but the initial top-down expansion of the recursive calls is confusingly presented."
            }
          },
          "majority_correct": true,
          "avg_score": 4.0
        },
        "gemini/gemini-2.5-pro": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls step by step, correctly handles the base cases where n<=1 returns n (so f(0)=0, f(1)=1), and arrives at the correct answer of 5 for f(5)."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly traces the recursive logic to the right answer, but its step-by-step explanation simplifies the exact computational order by grouping identical calls rather than showing a strict depth-first traversal."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as Fibonacci, traces through all recursive calls systematically, identifies base cases accurately, and arrives at the correct answer of 5 with clear step-by-step reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as the Fibonacci sequence and provides a flawless, step-by-step breakdown of the recursive calls and calculations, leading to the correct answer."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls step by step, correctly handles the base cases where n<=1 returns n (so f(0)=0, f(1)=1), and arrives at the correct answer of 5 for f(5)."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly traces the recursive logic to the right answer, but its step-by-step explanation simplifies the exact computational order by grouping identical calls rather than showing a strict depth-first traversal."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as Fibonacci, traces through all recursive calls systematically, identifies base cases accurately, and arrives at the correct answer of 5 with clear step-by-step reasoning."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as the Fibonacci sequence and provides a flawless, step-by-step breakdown of the recursive calls and calculations, leading to the correct answer."
            }
          },
          "majority_correct": true,
          "avg_score": 4.75
        },
        "gemini/gemini-2.5-flash": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly traces the recursive execution step by step, accurately computes f(5)=5, and correctly identifies the function as computing the Fibonacci sequence with proper base cases F(0)=0 and F(1)=1."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response provides a perfect, step-by-step trace of the recursive calls, correctly identifying the base cases and substituting the results back to reach the correct final answer."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls step by step, and arrives at the correct answer of 5."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The reasoning is excellent because it correctly identifies the function's behavior and provides a clear, accurate, step-by-step trace of the calculations needed to reach the final answer."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly traces the recursive execution step by step, accurately computes f(5)=5, and correctly identifies the function as computing the Fibonacci sequence with proper base cases F(0)=0 and F(1)=1."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response provides a perfect, step-by-step trace of the recursive calls, correctly identifying the base cases and substituting the results back to reach the correct final answer."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls step by step, and arrives at the correct answer of 5."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The reasoning is excellent because it correctly identifies the function's behavior and provides a clear, accurate, step-by-step trace of the calculations needed to reach the final answer."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "ollama/llama3": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        }
      }
    },
    "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": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "openai/gpt-5.4-mini": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the trophy as too big, and demonstrates clear logical reasoning by considering both possible referents of 'it' and eliminating the suitcase interpretation with a sound counter-argument."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the ambiguous pronoun, systematically evaluates both possible interpretations, and uses clear, logical reasoning to arrive at the correct conclusion."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the trophy as too big, using clear logical elimination by testing both possible referents and explaining why only one makes contextual sense."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response demonstrates excellent reasoning by systematically considering both possible interpretations and using a logical process of elimination to arrive at the correct conclusion."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the trophy as too big, and demonstrates clear logical reasoning by considering both possible referents of 'it' and eliminating the suitcase interpretation with a sound counter-argument."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the ambiguous pronoun, systematically evaluates both possible interpretations, and uses clear, logical reasoning to arrive at the correct conclusion."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the trophy as too big, using clear logical elimination by testing both possible referents and explaining why only one makes contextual sense."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response demonstrates excellent reasoning by systematically considering both possible interpretations and using a logical process of elimination to arrive at the correct conclusion."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "anthropic/claude-sonnet-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trophy as too big and provides clear logical reasoning, though the explanation is straightforward enough that it doesn't require exceptional depth."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the antecedent of the pronoun 'it' and provides a clear, logical explanation based on the real-world context of the sentence."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical reasoning by explaining why the alternative interpretation (suitcase being too big) would contradict the stated outcome."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the antecedent of the pronoun and provides excellent, clear reasoning by explaining why the alternative interpretation is illogical."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trophy as too big and provides clear logical reasoning, though the explanation is straightforward enough that it doesn't require exceptional depth."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the antecedent of the pronoun 'it' and provides a clear, logical explanation based on the real-world context of the sentence."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical reasoning by explaining why the alternative interpretation (suitcase being too big) would contradict the stated outcome."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the antecedent of the pronoun and provides excellent, clear reasoning by explaining why the alternative interpretation is illogical."
            }
          },
          "majority_correct": true,
          "avg_score": 4.75
        },
        "anthropic/claude-haiku-4-5": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trophy as too big and provides sound reasoning about sentence structure, though it unnecessarily overcomplicates a straightforward pronoun reference question by dwelling on the less likely interpretation."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the ambiguity, considers both interpretations, and uses sound contextual logic to arrive at the most plausible conclusion."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trophy as too big and provides sound reasoning about pronoun reference, though it slightly mischaracterizes 'it' as referring to the subject rather than explaining the contextual logic that the trophy is what doesn't fit, implying it's the oversized item."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the antecedent of the pronoun 'it's' and accurately explains the real-world logic of why the trophy must be the object that is too big."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trophy as too big and provides sound reasoning about sentence structure, though it unnecessarily overcomplicates a straightforward pronoun reference question by dwelling on the less likely interpretation."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the ambiguity, considers both interpretations, and uses sound contextual logic to arrive at the most plausible conclusion."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trophy as too big and provides sound reasoning about pronoun reference, though it slightly mischaracterizes 'it' as referring to the subject rather than explaining the contextual logic that the trophy is what doesn't fit, implying it's the oversized item."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the antecedent of the pronoun 'it's' and accurately explains the real-world logic of why the trophy must be the object that is too big."
            }
          },
          "majority_correct": true,
          "avg_score": 4.5
        },
        "gemini/gemini-2.5-pro": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trophy as too big, as the pronoun 'it' refers to the trophy (the subject that doesn't fit), though the explanation lacks elaboration on the pronoun resolution reasoning."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response is correct because it logically resolves the pronoun's ambiguity, but it doesn't explicitly explain the reasoning used to arrive at the conclusion."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trophy as too big with sound pronoun reference reasoning, though the explanation is straightforward and doesn't acknowledge any potential ambiguity in the sentence."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the antecedent for the pronoun 'it' and provides a clear, concise explanation."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trophy as too big, as the pronoun 'it' refers to the trophy (the subject that doesn't fit), though the explanation lacks elaboration on the pronoun resolution reasoning."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response is correct because it logically resolves the pronoun's ambiguity, but it doesn't explicitly explain the reasoning used to arrive at the conclusion."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trophy as too big with sound pronoun reference reasoning, though the explanation is straightforward and doesn't acknowledge any potential ambiguity in the sentence."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the antecedent for the pronoun 'it' and provides a clear, concise explanation."
            }
          },
          "majority_correct": true,
          "avg_score": 4.25
        },
        "gemini/gemini-2.5-flash": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trophy as too big, as the pronoun 'it' refers to the trophy being the reason it doesn't fit in the suitcase, though a brief explanation of the reasoning would improve the response."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly resolves the pronoun's antecedent by applying common-sense knowledge about the physical constraints of objects and containers."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trophy as too big, which is the logical interpretation since the trophy not fitting in the suitcase implies the trophy exceeds the suitcase's capacity."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly resolves the ambiguous pronoun by applying commonsense knowledge about the physical relationship between an object and a container."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trophy as too big, as the pronoun 'it' refers to the trophy being the reason it doesn't fit in the suitcase, though a brief explanation of the reasoning would improve the response."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly resolves the pronoun's antecedent by applying common-sense knowledge about the physical constraints of objects and containers."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trophy as too big, which is the logical interpretation since the trophy not fitting in the suitcase implies the trophy exceeds the suitcase's capacity."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly resolves the ambiguous pronoun by applying commonsense knowledge about the physical relationship between an object and a container."
            }
          },
          "majority_correct": true,
          "avg_score": 4.0
        },
        "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": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "openai/gpt-5.4-mini": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        },
        "anthropic/claude-opus-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trick interpretation (answer: 1) and also acknowledges the straightforward interpretation (answer: 5), demonstrating good reasoning, though calling it a 'classic trick question' is slightly presumptuous since the straightforward answer of 5 is equally valid."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the literal, 'trick' interpretation of the question, provides a perfectly clear and logical explanation for its answer, and demonstrates a full understanding by contrasting it with the more common mathematical interpretation."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies the trick interpretation of the question and explains the logic clearly, though it's a well-known riddle with a straightforward answer that didn't require extensive buildup."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the question as a riddle and provides flawless, step-by-step logic for the literal interpretation, which is the intended answer."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trick interpretation (answer: 1) and also acknowledges the straightforward interpretation (answer: 5), demonstrating good reasoning, though calling it a 'classic trick question' is slightly presumptuous since the straightforward answer of 5 is equally valid."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the literal, 'trick' interpretation of the question, provides a perfectly clear and logical explanation for its answer, and demonstrates a full understanding by contrasting it with the more common mathematical interpretation."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies the trick interpretation of the question and explains the logic clearly, though it's a well-known riddle with a straightforward answer that didn't require extensive buildup."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the question as a riddle and provides flawless, step-by-step logic for the literal interpretation, which is the intended answer."
            }
          },
          "majority_correct": true,
          "avg_score": 4.5
        },
        "anthropic/claude-sonnet-4-6": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly demonstrates through step-by-step subtraction that 5 can be subtracted from 25 exactly 5 times, though it misses the classic trick answer that you can only subtract 5 from 25 once (after that you're subtracting from 20, 15, etc.)."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response provides a clear, step-by-step mathematical breakdown but fails to acknowledge the common alternative 'riddle' interpretation where the answer is one."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly calculates 5 subtractions with clear step-by-step work, and thoughtfully acknowledges the classic trick interpretation (once, because after that you're subtracting from 20), though it somewhat dismisses it rather than fully embracing it as the intended riddle answer."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly answers the question with a perfect step-by-step logical breakdown and also shows deeper understanding by acknowledging and correctly dismissing the common trick interpretation."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly demonstrates through step-by-step subtraction that 5 can be subtracted from 25 exactly 5 times, though it misses the classic trick answer that you can only subtract 5 from 25 once (after that you're subtracting from 20, 15, etc.)."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response provides a clear, step-by-step mathematical breakdown but fails to acknowledge the common alternative 'riddle' interpretation where the answer is one."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly calculates 5 subtractions with clear step-by-step work, and thoughtfully acknowledges the classic trick interpretation (once, because after that you're subtracting from 20), though it somewhat dismisses it rather than fully embracing it as the intended riddle answer."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly answers the question with a perfect step-by-step logical breakdown and also shows deeper understanding by acknowledging and correctly dismissing the common trick interpretation."
            }
          },
          "majority_correct": true,
          "avg_score": 4.25
        },
        "anthropic/claude-haiku-4-5": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies that 5 can be subtracted from 25 five times and provides a clear step-by-step breakdown, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you subtract from 20, not 25)."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is clear and demonstrates the correct mathematical process, but it doesn't acknowledge the common, literal 'trick' interpretation of the question."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "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 shortcut, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you'd be subtracting from 20)."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The reasoning is very clear and demonstrates the process both through repeated subtraction and division, though it doesn't address the common alternative 'riddle' interpretation."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies that 5 can be subtracted from 25 five times and provides a clear step-by-step breakdown, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you subtract from 20, not 25)."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is clear and demonstrates the correct mathematical process, but it doesn't acknowledge the common, literal 'trick' interpretation of the question."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies 5 as the answer, shows clear step-by-step work, and helpfully notes the division shortcut, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you'd be subtracting from 20)."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 4,
              "reasoning": "The reasoning is very clear and demonstrates the process both through repeated subtraction and division, though it doesn't address the common alternative 'riddle' interpretation."
            }
          },
          "majority_correct": true,
          "avg_score": 4.0
        },
        "gemini/gemini-2.5-pro": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies both interpretations of the question - the riddle answer (once, since after the first subtraction you're no longer subtracting from 25) and the mathematical answer (5 times, dividing 25 by 5), providing clear explanations and step-by-step work for both."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the ambiguity in the question and provides two distinct, valid answers with clear and accurate explanations for each interpretation."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies both interpretations of the classic riddle, providing the wordplay answer (once, since the number changes after the first subtraction) and the straightforward mathematical answer (5 times), with clear step-by-step verification."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the ambiguity in the question and provides two distinct, well-reasoned answers for both the literal (riddle) and mathematical interpretations."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies both interpretations of the question - the riddle answer (once, since after the first subtraction you're no longer subtracting from 25) and the mathematical answer (5 times, dividing 25 by 5), providing clear explanations and step-by-step work for both."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the ambiguity in the question and provides two distinct, valid answers with clear and accurate explanations for each interpretation."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies both interpretations of the classic riddle, providing the wordplay answer (once, since the number changes after the first subtraction) and the straightforward mathematical answer (5 times), with clear step-by-step verification."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the ambiguity in the question and provides two distinct, well-reasoned answers for both the literal (riddle) and mathematical interpretations."
            }
          },
          "majority_correct": true,
          "avg_score": 5.0
        },
        "gemini/gemini-2.5-flash": {
          "samples": [
            {
              "sample_index": 0,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "anthropic/claude-sonnet-4-6": {
                  "correct": true,
                  "score": 4,
                  "reasoning": "The response correctly identifies both interpretations of the trick question\u2014subtracting 5 literally 'from 25' only once, and repeatedly subtracting until zero five times\u2014demonstrating solid reasoning, though the formatting is slightly verbose for what is a simple riddle."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the ambiguity in the question, providing and clearly explaining the two logical answers for both the literal and the mathematical interpretations."
                }
              }
            },
            {
              "sample_index": 1,
              "verdicts": {
                "openai/gpt-5.4": {
                  "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
                },
                "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 (once), while also helpfully addressing the likely intended interpretation and its answer (5 times), though the explanation is slightly verbose."
                },
                "gemini/gemini-2.5-pro": {
                  "correct": true,
                  "score": 5,
                  "reasoning": "The response correctly identifies the ambiguity in the question, provides a perfectly logical answer to the literal interpretation, and clarifies the alternative mathematical interpretation."
                }
              }
            }
          ],
          "judges": {
            "openai/gpt-5.4:s0": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "anthropic/claude-sonnet-4-6:s0": {
              "correct": true,
              "score": 4,
              "reasoning": "The response correctly identifies both interpretations of the trick question\u2014subtracting 5 literally 'from 25' only once, and repeatedly subtracting until zero five times\u2014demonstrating solid reasoning, though the formatting is slightly verbose for what is a simple riddle."
            },
            "gemini/gemini-2.5-pro:s0": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the ambiguity in the question, providing and clearly explaining the two logical answers for both the literal and the mathematical interpretations."
            },
            "openai/gpt-5.4:s1": {
              "error": "litellm.RateLimitError: RateLimitError: OpenAIException - You have no credits remaining. Add credits to continue using the API at https://platform.openai.com/settings/organization/billing/."
            },
            "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 (once), while also helpfully addressing the likely intended interpretation and its answer (5 times), though the explanation is slightly verbose."
            },
            "gemini/gemini-2.5-pro:s1": {
              "correct": true,
              "score": 5,
              "reasoning": "The response correctly identifies the ambiguity in the question, provides a perfectly logical answer to the literal interpretation, and clarifies the alternative mathematical interpretation."
            }
          },
          "majority_correct": true,
          "avg_score": 4.5
        },
        "ollama/llama3": {
          "samples": [],
          "judges": {},
          "majority_correct": null,
          "avg_score": null
        }
      }
    }
  }
}