{ "run_id": "2026-04-15T05-47-16", "prompts": { "logic-1": { "prompt": "If all bloops are razzies and all razzies are lazzies, are all bloops lazzies?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and applies valid transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive reasoning using subset logic to conclude that all bloops are lazzies, with a clear and accurate explanation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the logical conclusion and explains it perfectly using the concept of nested subsets." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship, provides clear logical reasoning using subset notation, 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, correctly identifying the transitive property and explaining it clearly using two different, effective methods (set inclusion and arrow notation)." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and applies valid transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive reasoning using subset logic to conclude that all bloops are lazzies, with a clear and accurate explanation." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the logical conclusion and explains it perfectly using the concept of nested subsets." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship, provides clear logical reasoning using subset notation, 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, correctly identifying the transitive property and explaining it clearly using two different, effective methods (set inclusion and arrow notation)." } }, "majority_correct": true, "avg_score": 5.0 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because it validly applies categorical transitivity: if bloops are a subset of razzies and razzies are a subset of lazzies, then bloops are a subset of lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic and accurately identifies the principle used to reach the valid conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is correct and perfectly explains the logical deduction by accurately identifying the principle of transitivity." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive subset reasoning: if bloops are contained in razzies and razzies are contained in lazzies, then bloops are contained in lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic using subset relationships to conclude that all bloops are lazzies, with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly answers the question and provides a clear, logically sound explanation by accurately translating the premises into the formal concept of subsets." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct because it validly applies categorical transitivity: if bloops are a subset of razzies and razzies are a subset of lazzies, then bloops are a subset of lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic and accurately identifies the principle used to reach the valid conclusion." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and perfectly explains the logical deduction by accurately identifying the principle of transitivity." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive subset reasoning: if bloops are contained in razzies and razzies are contained in lazzies, then bloops are contained in lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic using subset relationships to conclude that all bloops are lazzies, with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly answers the question and provides a clear, logically sound explanation by accurately translating the premises into the formal concept of subsets." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically valid, clearly explains the subset relationship, and correctly concludes that all bloops are lazzies by transitive syllogistic reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship, uses clear set notation to explain the logic, arrives at the correct conclusion, and properly labels it as a valid syllogism." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, accurately identifying the transitive property of the syllogism and using the clear analogy of sets and subsets to prove the conclusion." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly applies transitive syllogistic reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive syllogistic reasoning, clearly explains each premise, and accurately concludes that all bloops are lazzies with a helpful visual representation of the logical chain." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is logically valid, clearly explains the subset relationship, and correctly concludes that all bloops are lazzies by transitive syllogistic reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship, uses clear set notation to explain the logic, arrives at the correct conclusion, and properly labels it as a valid syllogism." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, accurately identifying the transitive property of the syllogism and using the clear analogy of sets and subsets to prove the conclusion." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly applies transitive syllogistic reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive syllogistic reasoning, clearly explains each premise, and accurately concludes that all bloops are lazzies with a helpful visual representation of the logical chain." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies valid transitive syllogistic reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic/syllogism to conclude that all bloops are lazzies, with clear step-by-step reasoning and accurate identification of the logical principle involved." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive syllogistic logic: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive syllogistic reasoning, clearly showing each logical step and arriving at the correct conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is flawless; it correctly answers the question, provides a clear step-by-step logical breakdown, and accurately identifies the type of reasoning used." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies valid transitive syllogistic reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic/syllogism to conclude that all bloops are lazzies, with clear step-by-step reasoning and accurate identification of the logical principle involved." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive syllogistic logic: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive syllogistic reasoning, clearly showing each logical step and arriving at the correct conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is flawless; it correctly answers the question, provides a clear step-by-step logical breakdown, and accurately identifies the type of reasoning used." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive reasoning, provides a clear logical chain, and even includes the formal set theory notation to support the conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is flawless, correctly identifying the conclusion and explaining the underlying logical principle of transitivity with a formal analogy." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive reasoning, clearly explains each logical step, and even provides the formal set theory notation to support the conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is flawless; it provides the correct answer, clearly lists the premises, and accurately identifies the logical principle (transitivity) with a formal explanation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive reasoning, provides a clear logical chain, and even includes the formal set theory notation to support the conclusion." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is flawless, correctly identifying the conclusion and explaining the underlying logical principle of transitivity with a formal analogy." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive reasoning, clearly explains each logical step, and even provides the formal set theory notation to support the conclusion." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is flawless; it provides the correct answer, clearly lists the premises, and accurately identifies the logical principle (transitivity) with a formal explanation." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are within razzies and all razzies are within lazzies, then all bloops are within lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic to reach the valid conclusion, provides clear step-by-step reasoning, and reinforces the concept with a relatable real-world analogy." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are within razzies and all razzies are within lazzies, then all bloops are within lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic to reach the valid conclusion, provides clear step-by-step reasoning, and reinforces the concept with a relatable real-world analogy." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies valid transitive reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each step of the reasoning chain, and even identifies the underlying logical principle (transitivity), making it an excellent answer." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic (if A\u2286B and B\u2286C, then A\u2286C) and explains each step clearly and accurately." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies valid transitive reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each step of the reasoning chain, and even identifies the underlying logical principle (transitivity), making it an excellent answer." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic (if A\u2286B and B\u2286C, then A\u2286C) and explains each step clearly and accurately." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 5.0 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "math-1": { "prompt": "A bat and a ball cost $1.10 together. The bat costs $1 more than the ball. How much does the ball cost?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and the algebraic reasoning is clear, complete, and free of errors, leading to the correct answer of 5 cents." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of $0.05 for the ball, with clear step-by-step reasoning that avoids the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, as it correctly translates the word problem into a precise algebraic equation and solves it with clear, logical, and flawless steps." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly sets up and solves the algebraic equation showing the ball costs $0.05 and the bat costs $1.05, which totals $1.10 with a $1 difference." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of $0.05 for the ball and $1.05 for the bat, while clearly showing each step of the reasoning process." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, as it correctly translates the word problem into an algebraic equation and shows each logical step to the correct solution." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and the algebraic reasoning is clear, complete, and free of errors, leading to the correct answer of 5 cents." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of $0.05 for the ball, with clear step-by-step reasoning that avoids 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 correctly translates the word problem into a precise algebraic equation and solves it with clear, logical, and flawless steps." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly sets up and solves the algebraic equation showing the ball costs $0.05 and the bat costs $1.05, which totals $1.10 with a $1 difference." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of $0.05 for the ball and $1.05 for the bat, while clearly showing each step of the reasoning process." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, as it correctly translates the word problem into an algebraic equation and shows each logical step to the correct solution." } }, "majority_correct": true, "avg_score": 5.0 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them without error, and arrives at the correct answer that the ball costs 5 cents." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of 5 cents with clear, step-by-step reasoning." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the equation from the problem conditions, solves it accurately, and arrives at the correct answer of $0.05." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, avoiding the common intuitive error of answering $0.10, and clearly shows each step leading to the correct answer of $0.05." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into a clear algebraic equation and solves it with flawless step-by-step logic." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them without error, and arrives at the correct answer that the ball costs 5 cents." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of 5 cents with clear, step-by-step reasoning." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the equation from the problem conditions, solves it accurately, and arrives at the correct answer of $0.05." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, avoiding the common intuitive error of answering $0.10, and clearly shows each step leading to the correct answer of $0.05." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into a clear algebraic equation and solves it with flawless step-by-step logic." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the equation, verifies the result, and explicitly rules out the common incorrect intuition." }, "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 the solution, 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, and explains the common pitfall, demonstrating a complete understanding of the problem." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and uses a clear algebraic setup, valid solution steps, and a verification that confirms the ball costs $0.05." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up algebraic equations, solves them accurately to get $0.05, verifies the answer, and even addresses the common intuitive mistake of $0.10 with a clear explanation of why it's wrong." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a flawless, step-by-step algebraic solution, verifies the result, and crucially explains the common cognitive pitfall, making the reasoning exceptionally clear and helpful." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the equation, verifies the result, and explicitly rules out the common incorrect intuition." }, "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 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 response provides a flawless step-by-step algebraic solution, verifies the result, and explains the common pitfall, demonstrating a complete understanding of the problem." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and uses a clear algebraic setup, valid solution steps, and a verification that confirms the ball costs $0.05." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up algebraic equations, solves them accurately to get $0.05, verifies the answer, and even addresses the common intuitive mistake of $0.10 with a clear explanation of why it's wrong." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response provides a flawless, step-by-step algebraic solution, verifies the result, and crucially explains the common cognitive pitfall, making the reasoning exceptionally clear and helpful." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly sets up the two equations, solves them accurately to get 5 cents, and briefly checks the result against the original conditions." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up two equations, solves them systematically to get $0.05, verifies the answer, and even addresses the common cognitive trap of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear and accurate algebraic solution while also explaining the common cognitive trap that leads to the wrong answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately to get 5 cents, and briefly checks the common mistaken answer." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using algebraic substitution, 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 algebraic method, verifies the solution, and correctly identifies and explains the common intuitive error." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly sets up the two equations, solves them accurately to get 5 cents, and briefly checks the result against the original conditions." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up two equations, solves them systematically to get $0.05, verifies the answer, and even addresses the common cognitive trap of answering $0.10." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear and accurate algebraic solution while also explaining the common cognitive trap that leads to the wrong answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately to get 5 cents, and briefly checks the common mistaken answer." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using algebraic substitution, 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 algebraic method, verifies the solution, and correctly identifies and explains the common intuitive error." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly sets up and solves the equation, with a proper check confirming that the ball costs 5 cents and the bat costs $1.05." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the equation properly, solves it accurately to get $0.05, and verifies the answer satisfies both conditions (total of $1.10 and bat costing exactly $1 more than the ball)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response demonstrates excellent reasoning by correctly translating the word problem into an algebraic equation, solving it clearly, and verifying the final answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them step by step without error, and verifies that the ball costs $0.05 and the bat $1.05 for a total of $1.10." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up two equations, solves them through substitution to get the right answer of $0.05, and verifies the solution, demonstrating clear and accurate algebraic reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into algebraic equations, shows a clear step-by-step solution, and verifies the result, demonstrating a complete and sound logical process." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly sets up and solves the equation, with a proper check confirming that the ball costs 5 cents and the bat costs $1.05." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the equation properly, solves it accurately to get $0.05, and verifies the answer satisfies both conditions (total of $1.10 and bat costing exactly $1 more than the ball)." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response demonstrates excellent reasoning by correctly translating the word problem into an algebraic equation, solving it clearly, and verifying the final answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them step by step without error, and verifies that the ball costs $0.05 and the bat $1.05 for a total of $1.10." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up two equations, solves them through substitution to get the right answer of $0.05, and verifies the solution, demonstrating clear and accurate algebraic reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into algebraic equations, shows a clear step-by-step solution, and verifies the result, demonstrating a complete and sound logical process." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the common trap, sets up the equations properly, solves them accurately, and verifies the result clearly." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies and debunks the common intuitive wrong answer, sets up the algebra properly, solves it step-by-step with clear notation, and verifies the solution." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear, valid algebra with a proper substitution and check, leading to the right answer of 5 cents." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using clear algebraic steps, avoids the common intuitive error of answering $0.10, and verifies the answer with a check." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the common trap, sets up the equations properly, solves them accurately, and verifies the result clearly." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies and debunks the common intuitive wrong answer, sets up the algebra properly, solves it step-by-step with clear notation, and verifies the solution." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear, valid algebra with a proper substitution and check, leading to the right answer of 5 cents." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using clear algebraic steps, avoids the common intuitive error of answering $0.10, and verifies the answer with a check." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear algebraic reasoning with a valid substitution and verification to reach the right answer of $0.05." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up two equations, substitutes and solves algebraically to get $0.05, and verifies the answer - avoiding the common intuitive wrong answer of $0.10." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equation, solves it step by step without error, and verifies the result with a proper check." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equation, solves it step-by-step to get $0.05, and verifies the answer by checking both conditions of the problem." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response demonstrates flawless reasoning by correctly translating the problem into an algebraic equation, solving it step-by-step, and confirming the answer with a verification check." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear algebraic reasoning with a valid substitution and verification to reach the right answer of $0.05." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up two equations, substitutes and solves algebraically to get $0.05, and verifies the answer - avoiding the common intuitive wrong answer of $0.10." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equation, solves it step by step without error, and verifies the result with a proper check." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equation, solves it step-by-step to get $0.05, and verifies the answer by checking both conditions of the problem." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response demonstrates flawless reasoning by correctly translating the problem into an algebraic equation, solving it step-by-step, and confirming the answer with a verification check." } }, "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": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south and then left to east, with clear and fully accurate reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks 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 follows each step of the instructions, clearly showing the resulting direction after each turn." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and fully correct reasoning." }, "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 tracks the direction through each turn in a clear, step-by-step process that is easy to follow." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south and then left to east, with clear and fully accurate reasoning." }, "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 direction of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly follows each step of the instructions, clearly showing the resulting direction after each turn." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and fully correct reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the direction through each turn in a clear, step-by-step process that is easy to follow." } }, "majority_correct": true, "avg_score": 5.0 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly follows each turn step by step from north to east to south to east." }, "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": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "The final computed direction is east, but the response incorrectly states south before contradicting itself with the correct step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": false, "score": 2, "reasoning": "The step-by-step reasoning correctly arrives at east, but the opening statement claims south, making the response self-contradictory and ultimately providing the wrong final answer in the summary." }, "gemini/gemini-2.5-pro": { "correct": false, "score": 4, "reasoning": "The step-by-step breakdown is perfectly logical and reaches the correct conclusion, but the initial bolded answer is incorrect and contradicts the reasoning shown." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly follows each turn step by step from north to east to south to east." }, "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": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": false, "score": 2, "reasoning": "The final computed direction is east, but the response incorrectly states south before contradicting itself with the correct step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": false, "score": 2, "reasoning": "The step-by-step reasoning correctly arrives at east, but the opening statement claims south, making the response self-contradictory and ultimately providing the wrong final answer in the summary." }, "gemini/gemini-2.5-pro:s1": { "correct": false, "score": 4, "reasoning": "The step-by-step breakdown is perfectly logical and reaches the correct conclusion, but the initial bolded answer is incorrect and contradicts the reasoning shown." } }, "majority_correct": false, "avg_score": 3.6 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the turns from north to east to south and then left to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces each turn step by step, arriving at the correct final answer of East." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the direction through each turn in a clear, step-by-step process that is easy to verify." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the turns from north to east to south to east and reaches the right final direction with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces 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 provides a perfect step-by-step breakdown of the movements, correctly identifying the new direction after each turn." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the turns from north to east to south and then left to east, with clear and accurate step-by-step reasoning." }, "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 answer of East." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the direction through each turn in a clear, step-by-step process that is easy to verify." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the turns from north to east to south to east and reaches the right final direction with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly traces each turn step by step, arriving at the correct final answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response provides a perfect step-by-step breakdown of the movements, correctly identifying the new direction after each turn." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning." }, "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 identifies the direction after each turn, presenting the logic in a perfectly clear and easy-to-follow step-by-step format." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east and reaches the right final direction." }, "anthropic/claude-sonnet-4-6": { "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 methodically breaks down the problem into clear, sequential steps that are each logically correct, leading to the right final answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning." }, "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 correctly identifies the direction after each turn, presenting the logic in a perfectly clear and easy-to-follow step-by-step format." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east and reaches the right final direction." }, "anthropic/claude-sonnet-4-6:s1": { "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 methodically breaks down the problem into clear, sequential steps that are each logically correct, leading to the right final answer." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south and then left to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks 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 demonstrates excellent reasoning by breaking the problem down into a clear, step-by-step sequence and correctly identifying the new direction after each turn." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and the step-by-step directional changes are logically consistent, leading to east." }, "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." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly breaks the problem down into sequential, logical steps that are easy to follow and lead directly to the correct conclusion." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south and then left to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks 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 demonstrates excellent reasoning by breaking the problem down into a clear, step-by-step sequence and correctly identifying the new direction after each turn." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and the step-by-step directional changes are logically consistent, leading to east." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly breaks the problem down into sequential, logical steps that are easy to follow and lead directly to the correct conclusion." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from North to East to South to East and reaches the right final direction with clear step-by-step reasoning." }, "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 reasoning is excellent because it breaks the problem down into a clear, sequential, and accurate series of steps that are easy to verify." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and fully accurate step-by-step reasoning." }, "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." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly breaks down the problem into a clear, step-by-step logical sequence that is easy to follow." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from North to East to South to East and reaches the right final direction with clear step-by-step reasoning." }, "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 reasoning is excellent because it breaks the problem down into a clear, sequential, and accurate series of steps that are easy to verify." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and fully accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly breaks down the problem into a clear, step-by-step logical sequence that is easy to follow." } }, "majority_correct": true, "avg_score": 4.83 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from North to East to South to East, with clear and accurate step-by-step reasoning." }, "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 methodically breaks down each turn into a clear, sequential step, making the logic transparent and easy to verify." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks 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 provides a perfectly clear, accurate, and sequential breakdown of the steps, making the logic easy to follow and verify." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from North to East to South to East, with clear and accurate step-by-step reasoning." }, "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 methodically breaks down each turn into a clear, sequential step, making the logic transparent and easy to verify." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the correct final direction of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear, accurate, and sequential breakdown of the steps, making the logic easy to follow and verify." } }, "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": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle and clearly maps each clue to the game scenario with sound reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation and clearly breaks down each element of the riddle with accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly solves the riddle and provides excellent, clear reasoning by deconstructing each phrase to show how it applies to the game of Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "This is the classic Monopoly riddle, and the response correctly explains how pushing a car to a hotel leads to losing a fortune in the game." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly scenario and clearly explains all three elements of the riddle: the car as a game piece, the hotel as a property, and losing fortune by paying rent." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it perfectly deconstructs the riddle's key phrases and explains how each one maps to the game of Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle and clearly maps each clue to the game scenario with sound reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation and clearly breaks down each element of the riddle with accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly solves the riddle and provides excellent, clear reasoning by deconstructing each phrase to show how it applies to the game of Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "This is the classic Monopoly riddle, and the response correctly explains how pushing a car to a hotel leads to losing a fortune in the game." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly scenario and clearly explains all three elements of the riddle: the car as a game piece, the hotel as a property, and losing fortune by paying rent." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it perfectly deconstructs the riddle's key phrases and explains how each one maps to the game of Monopoly." } }, "majority_correct": true, "avg_score": 5.0 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle answer\u2014he was playing Monopoly\u2014and clearly maps both clues to the game piece and going bankrupt." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly scenario where the car is a game token and losing fortune means going bankrupt, though it could have been more concise and confident in stating Monopoly specifically rather than hedging with 'likely.'" }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle\u2019s intended answer and clearly explains how the car, hotel, and loss of fortune all refer to Monopoly." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution - the car is a game token, pushing it to a hotel space and paying rent can bankrupt a player - though the explanation is slightly verbose and could be more concise." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly deconstructs the riddle by correctly identifying that the 'car' is a game piece, the 'hotel' is a property, and 'losing a fortune' refers to bankruptcy within the game of Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle answer\u2014he was playing Monopoly\u2014and clearly maps both clues to the game piece and going bankrupt." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly scenario where the car is a game token and losing fortune means going bankrupt, though it could have been more concise and confident in stating Monopoly specifically rather than hedging with 'likely.'" }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle\u2019s intended answer and clearly explains how the car, hotel, and loss of fortune all refer to Monopoly." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution - the car is a game token, pushing it to a hotel space and paying rent can bankrupt a player - though the explanation is slightly verbose and could be more concise." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response perfectly deconstructs the riddle by correctly identifying that the 'car' is a game piece, the 'hotel' is a property, and 'losing a fortune' refers to bankruptcy within the game of Monopoly." } }, "majority_correct": true, "avg_score": 4.6 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It identifies the standard Monopoly riddle correctly and clearly explains how each clue maps to the board game scenario." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains the misdirection well, though the reasoning process is brief since it jumps quickly to the answer without genuinely exploring alternative interpretations." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer and provides a perfectly clear, step-by-step explanation of how each element in the riddle maps to the game of Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response identifies the classic Monopoly riddle correctly and clearly explains how the car, hotel, and lost fortune map to the game scenario." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a Monopoly riddle and clearly explains all the key elements: the car token, the hotel on another player's property, and losing money by paying rent, demonstrating excellent logical reasoning." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It identifies the standard Monopoly riddle correctly and clearly explains how each clue maps to the board game scenario." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains the misdirection well, though the reasoning process is brief since it jumps quickly to the answer without genuinely exploring alternative interpretations." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer and provides a perfectly clear, step-by-step explanation of how each element in the riddle maps to the game of Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response identifies the classic Monopoly riddle correctly and clearly explains how the car, hotel, and lost fortune map to the game scenario." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a Monopoly riddle and clearly explains all the key elements: the car token, the hotel on another player's property, and losing money by paying rent, demonstrating excellent logical reasoning." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 4.8 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel causes him to lose all his money." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains the mechanics clearly, though it loses a point for the unnecessary emoji and slightly verbose explanation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer to the riddle and provides a clear, concise explanation that perfectly maps each element of the puzzle to the game of Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response gives the standard correct solution to the riddle and clearly explains how pushing the car to a hotel in Monopoly causes him to lose his money." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation and provides a clear, concise explanation of why landing on a hotel square results in losing one's fortune." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel causes him to lose all his money." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains the mechanics clearly, though it loses a point for the unnecessary emoji and slightly verbose explanation." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer to the riddle and provides a clear, concise explanation that perfectly maps each element of the puzzle to the game of Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response gives the standard correct solution to the riddle and clearly explains how pushing the car to a hotel in Monopoly causes him to lose his money." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation and provides a clear, concise explanation of why landing on a hotel square results in losing one's fortune." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 4.8 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly maps each clue\u2014the car, hotel, and losing a fortune\u2014to elements of the game." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains all the key elements (car token, hotel property, losing money), though it slightly mischaracterizes the mechanic by saying 'pushing' relates to rolling dice rather than simply noting the car is a Monopoly token that gets moved around the board." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle's solution and provides a clear, well-structured breakdown of how each part of the riddle maps to the rules of Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how 'car,' 'hotel,' and 'loses his fortune' map to the game's mechanics." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains the mechanics clearly, though the explanation of 'pushing a car' is slightly imprecise since in Monopoly you move/push the car token around the board rather than physically pushing it to a hotel space specifically." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the classic answer and clearly explains how the riddle's elements correspond to the game, though it could have been slightly more explicit that landing on a property with a hotel incurs the highest rent." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly maps each clue\u2014the car, hotel, and losing a fortune\u2014to elements of the game." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains all the key elements (car token, hotel property, losing money), though it slightly mischaracterizes the mechanic by saying 'pushing' relates to rolling dice rather than simply noting the car is a Monopoly token that gets moved around the board." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle's solution and provides a clear, well-structured breakdown of how each part of the riddle maps to the rules of Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how 'car,' 'hotel,' and 'loses his fortune' map to the game's mechanics." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains the mechanics clearly, though the explanation of 'pushing a car' is slightly imprecise since in Monopoly you move/push the car token around the board rather than physically pushing it to a hotel space specifically." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the classic answer and clearly explains how the riddle's elements correspond to the game, though it could have been slightly more explicit that landing on a property with a hotel incurs the highest rent." } }, "majority_correct": true, "avg_score": 4.5 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly maps each clue\u2014car, hotel, and losing his fortune\u2014to the game scenario." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and clearly explains all three elements of the riddle (car token, pushing/moving, hotel rent causing bankruptcy), though it's a well-known riddle requiring minimal reasoning depth." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly maps each clue\u2014car, hotel, and losing his fortune\u2014to the game scenario." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and clearly explains all three elements of the riddle (car token, pushing/moving, hotel rent causing bankruptcy), though it's a well-known riddle requiring minimal reasoning depth." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 4.5 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 1, "reasoning": "This is not the intended answer to the classic riddle, where the man is playing Monopoly, pushes his car token to a hotel, and loses his fortune." }, "anthropic/claude-sonnet-4-6": { "correct": false, "score": 2, "reasoning": "The classic answer to this riddle is that the man is playing Monopoly - he pushed his car token to the hotel square on the board and had to pay rent, losing his fortune (money), while the response offers a creative but incorrect alternative about a dessert cart and fortune cookie." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly maps each clue to the game mechanics, making the reasoning complete and accurate." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly scenario and provides a clear, well-structured explanation of each element of the riddle mapping to game mechanics." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly deciphers the lateral thinking puzzle by correctly recontextualizing each phrase within the rules of the board game Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 1, "reasoning": "This is not the intended answer to the classic riddle, where the man is playing Monopoly, pushes his car token to a hotel, and loses his fortune." }, "anthropic/claude-sonnet-4-6:s0": { "correct": false, "score": 2, "reasoning": "The classic answer to this riddle is that the man is playing Monopoly - he pushed his car token to the hotel square on the board and had to pay rent, losing his fortune (money), while the response offers a creative but incorrect alternative about a dessert cart and fortune cookie." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly maps each clue to the game mechanics, making the reasoning complete and accurate." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly scenario and provides a clear, well-structured explanation of each element of the riddle mapping to game mechanics." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response perfectly deciphers the lateral thinking puzzle by correctly recontextualizing each phrase within the rules of the board game Monopoly." } }, "majority_correct": true, "avg_score": 3.6 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "code-1": { "prompt": "What does this function return for input 5? def f(n): return n if n <= 1 else f(n-1) + f(n-2)", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence with base cases n <= 1 and accurately computes f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces through all values step by step, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, applies the base cases properly, and shows the step-by-step evaluation leading to f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, systematically traces through all recursive calls with accurate base cases, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function and its base cases to arrive at the right answer, but the step-by-step evaluation shows a bottom-up calculation rather than a true trace of the top-down recursive calls." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence with base cases n <= 1 and accurately computes f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces through all values step by step, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, applies the base cases properly, and shows the step-by-step evaluation leading to f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, systematically traces through all recursive calls with accurate base cases, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function and its base cases to arrive at the right answer, but the step-by-step evaluation shows a bottom-up calculation rather than a true trace of the top-down recursive calls." } }, "majority_correct": true, "avg_score": 4.8 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly identifies the recursive function as Fibonacci with the right base cases, then accurately computes f(5)=5 step by step." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function as Fibonacci and traces through the values accurately, though it could have noted that the base case is `n <= 1` returns `n`, meaning f(0)=0 and f(1)=1, which it implicitly handles correctly." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly explains that the recursive function computes Fibonacci numbers, showing the intermediate values up to f(5)=5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as implementing the Fibonacci sequence, accurately traces through all recursive calls step by step, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the Fibonacci sequence and accurately shows the step-by-step calculation, but it doesn't explicitly state how the base cases are derived from the function's `if` condition." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly identifies the recursive function as Fibonacci with the right base cases, then accurately computes f(5)=5 step by step." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function as Fibonacci and traces through the values accurately, though it could have noted that the base case is `n <= 1` returns `n`, meaning f(0)=0 and f(1)=1, which it implicitly handles correctly." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly explains that the recursive function computes Fibonacci numbers, showing the intermediate values up to f(5)=5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as implementing the Fibonacci sequence, accurately traces through all recursive calls step by step, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the Fibonacci sequence and accurately shows the step-by-step calculation, but it doesn't explicitly state how the base cases are derived from the function's `if` condition." } }, "majority_correct": true, "avg_score": 4.6 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, evaluates the needed subcalls accurately, and concludes that f(5) = 5 with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci pattern, traces all recursive calls systematically, uses a clear table to show the bottom-up resolution, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci sequence and provides a perfectly clear, step-by-step trace of the recursive calls and their resulting values in a well-structured table." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls, and gives the correct result f(5) = 5 with clear reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, systematically traces all recursive calls with clear base cases, builds up results in a well-organized table, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clear, correct, and well-structured, but it simplifies the trace by not showing the redundant calls (e.g., f(3) is computed twice) which are characteristic of this recursive implementation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, evaluates the needed subcalls accurately, and concludes that f(5) = 5 with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci pattern, traces all recursive calls systematically, uses a clear table to show the bottom-up resolution, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci sequence and provides a perfectly clear, step-by-step trace of the recursive calls and their resulting values in a well-structured table." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls, and gives the correct result f(5) = 5 with clear reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, systematically traces all recursive calls with clear base cases, builds up results in a well-organized table, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is clear, correct, and well-structured, but it simplifies the trace by not showing the redundant calls (e.g., f(3) is computed twice) which are characteristic of this recursive implementation." } }, "majority_correct": true, "avg_score": 4.83 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci with base cases f(0)=0 and f(1)=1, and the trace leads to the correct result f(5)=5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The answer is correct (f(5)=5) and the trace is mostly clear, though the layout is slightly informal with repeated f(3) lines rather than a fully systematic expansion, making it a bit harder to follow but still accurate." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The logic is sound and all calculations are correct, but the step-by-step trace is disorganized and difficult to follow." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and concludes with the correct return value of 5 for input 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci function, traces through all base cases and recursive calls systematically, builds back up to the correct answer of 5, and provides helpful context about the Fibonacci sequence." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is very clear, correctly identifying the function as Fibonacci and tracing the recursive calls step-by-step to the correct answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci with base cases f(0)=0 and f(1)=1, and the trace leads to the correct result f(5)=5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The answer is correct (f(5)=5) and the trace is mostly clear, though the layout is slightly informal with repeated f(3) lines rather than a fully systematic expansion, making it a bit harder to follow but still accurate." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The logic is sound and all calculations are correct, but the step-by-step trace is disorganized and difficult to follow." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and concludes with the correct return value of 5 for input 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci function, traces through all base cases and recursive calls systematically, builds back up to the correct answer of 5, and provides helpful context about the Fibonacci sequence." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is very clear, correctly identifying the function as Fibonacci and tracing the recursive calls step-by-step to the correct answer." } }, "majority_correct": true, "avg_score": 4.5 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, traces the needed calls accurately, and reaches the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, provides a clear step-by-step trace with proper memoization of repeated calls, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning correctly traces the recursive calls and arrives at the right answer, but the trace's layout is slightly repetitive and could be clearer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the recursive calls accurately, and reaches the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, provides a complete and accurate step-by-step trace showing all recursive calls including the repeated computation of f(3), and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly traces the recursive calls to the base cases, but the linear presentation of the repeated computations is slightly confusing." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, traces the needed calls accurately, and reaches the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, provides a clear step-by-step trace with proper memoization of repeated calls, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning correctly traces the recursive calls and arrives at the right answer, but the trace's layout is slightly repetitive and could be clearer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the recursive calls accurately, and reaches the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, provides a complete and accurate step-by-step trace showing all recursive calls including the repeated computation of f(3), and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly traces the recursive calls to the base cases, but the linear presentation of the repeated computations is slightly confusing." } }, "majority_correct": true, "avg_score": 4.67 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, evaluates the recursive calls accurately, and concludes that f(5) = 5 with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces through all recursive calls step by step, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The step-by-step logic is correct and easy to follow, but it simplifies the execution trace by not showing that sub-problems like f(3) are redundantly recomputed." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive cases accurately, and concludes that f(5) = 5 without any errors." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces all recursive calls accurately, computes the base cases correctly, and arrives at the right answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correctly traces the mathematical dependencies to reach the right answer, but it simplifies the execution path by not showing the redundant recursive calls that the code would actually make." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, evaluates the recursive calls accurately, and concludes that f(5) = 5 with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces through all recursive calls step by step, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The step-by-step logic is correct and easy to follow, but it simplifies the execution trace by not showing that sub-problems like f(3) are redundantly recomputed." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive cases accurately, and concludes that f(5) = 5 without any errors." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces all recursive calls accurately, computes the base cases correctly, and arrives at the right answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correctly traces the mathematical dependencies to reach the right answer, but it simplifies the execution path by not showing the redundant recursive calls that the code would actually make." } }, "majority_correct": true, "avg_score": 4.67 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly evaluates the recursive calls, gets f(5)=5, and clearly explains the Fibonacci-style reasoning step by step." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive function step by step, accurately computes f(5)=5, and correctly identifies the function as computing Fibonacci numbers." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly demonstrates the recursive calls, correctly identifies the base cases, and accurately substitutes the results back to arrive at the correct final answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the base cases and recursive substitutions accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive execution step by step, accurately identifies this as the Fibonacci sequence, and arrives at the correct answer of 5 with clear, well-organized reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly traces the recursive calls step-by-step and accurately substitutes the results back up, but the description of where each function is called from could be slightly clearer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly evaluates the recursive calls, gets f(5)=5, and clearly explains the Fibonacci-style reasoning step by step." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive function step by step, accurately computes f(5)=5, and correctly identifies the function as computing Fibonacci numbers." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response perfectly demonstrates the recursive calls, correctly identifies the base cases, and accurately substitutes the results back to arrive at the correct final answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the base cases and recursive substitutions accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive execution step by step, accurately identifies this as the Fibonacci sequence, and arrives at the correct answer of 5 with clear, well-organized reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly traces the recursive calls step-by-step and accurately substitutes the results back up, but the description of where each function is called from could be slightly clearer." } }, "majority_correct": true, "avg_score": 4.83 }, "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": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by identifying that 'too big' refers to the trophy, which is the standard commonsense interpretation of the sentence." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'too big' with a clear and logical explanation, though the reasoning could briefly acknowledge why the suitcase is ruled out as the referent." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because in this sentence the object that fails to fit is the trophy, so 'too big' clearly refers to the trophy." }, "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 it could be more explicit about why the pronoun 'it' refers to the trophy rather than the suitcase." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly and concisely explains the real-world physical logic required to resolve the pronoun's ambiguity." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by identifying that 'too big' refers to the trophy, which is the standard commonsense interpretation of the sentence." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'too big' with a clear and logical explanation, though the reasoning could briefly acknowledge why the suitcase is ruled out as the referent." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct because in this sentence the object that fails to fit is the trophy, so 'too big' clearly refers to the trophy." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical reasoning, though it could be more explicit about why the pronoun 'it' refers to the trophy rather than the suitcase." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly and concisely explains the real-world physical logic required to resolve the pronoun's ambiguity." } }, "majority_correct": true, "avg_score": 4.6 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy,' since the trophy being too big explains why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it' refers to the trophy, as the trophy is the subject that cannot fit in the suitcase due to its size." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy, which is the object that would be too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it' refers to the trophy, as the trophy is the entity that doesn't fit in the suitcase due to its size, demonstrating proper pronoun resolution." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by using the logical context that the object failing to fit is the one that is too large." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy,' since the trophy being too big explains why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it' refers to the trophy, as the trophy is the subject that cannot fit in the suitcase due to its size." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy, which is the object that would be too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it' refers to the trophy, as the trophy is the entity that doesn't fit in the suitcase due to its size, demonstrating proper pronoun resolution." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by using the logical context that the object failing to fit is the one that is too large." } }, "majority_correct": true, "avg_score": 4.8 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by using clear commonsense reasoning that only the trophy being too big would explain why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big and uses clear logical reasoning by eliminating the suitcase interpretation and confirming the trophy interpretation makes causal sense." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by using clear commonsense reasoning that only the trophy being too big would explain why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, and uses clear logical elimination to explain why the suitcase being too big would not make sense in context, demonstrating excellent reasoning." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by using clear commonsense reasoning that only the trophy being too big would explain why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big and uses clear logical reasoning by eliminating the suitcase interpretation and confirming the trophy interpretation makes causal sense." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by using clear commonsense reasoning that only the trophy being too big would explain why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, and uses clear logical elimination to explain why the suitcase being too big would not make sense in context, demonstrating excellent reasoning." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy and gives the standard commonsense explanation that the trophy is too large to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big, with clear and accurate reasoning, though the explanation is slightly redundant." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun's ambiguity using contextual logic and provides a clear, albeit slightly redundant, explanation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy' and accurately explains that the trophy is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'it' and explains why, though the reasoning could be more explicit about how context clues (the trophy not fitting) lead to this conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun 'it' to identify the trophy as the subject, providing clear and direct reasoning." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy and gives the standard commonsense explanation that the trophy is too large to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big, with clear and accurate reasoning, though the explanation is slightly redundant." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun's ambiguity using contextual logic and provides a clear, albeit slightly redundant, explanation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy' and accurately explains that the trophy is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'it' and explains why, though the reasoning could be more explicit about how context clues (the trophy not fitting) lead to this conclusion." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun 'it' to identify the trophy as the subject, providing clear and direct reasoning." } }, "majority_correct": true, "avg_score": 4.33 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it's' refers to the trophy and gives a clear causal explanation consistent with the sentence." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The answer is correct and the reasoning is sound, correctly identifying that 'it' refers to the trophy as the thing too big to fit in the suitcase, though the explanation slightly oversimplifies by saying it's because trophy is 'the subject' rather than focusing on contextual logic." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is strong because it correctly identifies the pronoun's antecedent and the logical implication, though it could be perfected by also explaining why the alternative (the suitcase) is illogical." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because in this commonsense pronoun resolution example, 'it's too big' clearly refers to the trophy as the item that cannot fit into the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides a reasonable explanation, though the grammatical analysis is slightly imprecise since 'it' is an ambiguous pronoun resolved by context rather than strict subject reference." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it correctly identifies the antecedent of the pronoun 'it' using both grammatical structure and the logical context of the sentence." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it's' refers to the trophy and gives a clear causal explanation consistent with the sentence." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The answer is correct and the reasoning is sound, correctly identifying that 'it' refers to the trophy as the thing too big to fit in the suitcase, though the explanation slightly oversimplifies by saying it's because trophy is 'the subject' rather than focusing on contextual logic." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is strong because it correctly identifies the pronoun's antecedent and the logical implication, though it could be perfected by also explaining why the alternative (the suitcase) is illogical." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct because in this commonsense pronoun resolution example, 'it's too big' clearly refers to the trophy as the item that cannot fit into the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides a reasonable explanation, though the grammatical analysis is slightly imprecise since 'it' is an ambiguous pronoun resolved by context rather than strict subject reference." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it correctly identifies the antecedent of the pronoun 'it' using both grammatical structure and the logical context of the sentence." } }, "majority_correct": true, "avg_score": 4.5 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy' and gives a clear, logically sound explanation for why the object rather than the container is too big." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, provides clear step-by-step reasoning, and even includes a logical counter-argument to confirm the conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly breaks down the problem, applies sound real-world logic to resolve the ambiguity, and refutes the alternative interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun to 'the trophy' and gives clear, logically sound reasoning showing why 'the suitcase' would not make sense in this context." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical step-by-step reasoning that eliminates the alternative interpretation and arrives at the correct conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the ambiguity of the pronoun 'it' and uses a flawless process of elimination to determine the only logical antecedent." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy' and gives a clear, logically sound explanation for why the object rather than the container is too big." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, provides clear step-by-step reasoning, and even includes a logical counter-argument to confirm the conclusion." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly breaks down the problem, applies sound real-world logic to resolve the ambiguity, and refutes the alternative interpretation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun to 'the trophy' and gives clear, logically sound reasoning showing why 'the suitcase' would not make sense in this context." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical step-by-step reasoning that eliminates the alternative interpretation and arrives at the correct conclusion." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the ambiguity of the pronoun 'it' and uses a flawless process of elimination to determine the only logical antecedent." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because in the sentence, 'it's too big' clearly refers to the trophy as the object that cannot fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, properly resolving the pronoun 'it' by understanding that the trophy is the subject that cannot fit in the suitcase due to its size." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly uses common-sense reasoning to resolve the ambiguous pronoun 'it' based on the physical context of the sentence." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The pronoun 'it's' correctly refers to the trophy, since the object that does not fit is the one that is too big." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, using proper pronoun resolution to determine that 'it' refers to the trophy (the subject that causes the fitting problem) rather than the suitcase." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun ambiguity using common-sense physical reasoning, though it doesn't explain the logic explicitly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct because in the sentence, 'it's too big' clearly refers to the trophy as the object that cannot fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, properly resolving the pronoun 'it' by understanding that the trophy is the subject that cannot fit in the suitcase due to its size." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly uses common-sense reasoning to resolve the ambiguous pronoun 'it' based on the physical context of the sentence." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The pronoun 'it's' correctly refers to the trophy, since the object that does not fit is the one that is too big." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, using proper pronoun resolution to determine that 'it' refers to the trophy (the subject that causes the fitting problem) rather than the suitcase." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun ambiguity using common-sense physical reasoning, though it doesn't explain the logic explicitly." } }, "majority_correct": true, "avg_score": 4.67 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "common-sense-1": { "prompt": "How many times can you subtract 5 from 25?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic wording trick that only the first subtraction is from 25, and the explanation is clear and logically sound." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response gives the clever/trick answer that you can only subtract 5 from 25 once (after which it's no longer 25), with clear and logical explanation, though some might argue the mathematical answer is 5 times, making this a matter of interpretation." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because it recognizes the riddle\u2019s wording: you can subtract 5 from 25 only once before the starting number changes." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question and provides a clear, logical explanation for why the answer is 'only once,' though it could be more concise." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic wording trick that only the first subtraction is from 25, and the explanation is clear and logically sound." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response gives the clever/trick answer that you can only subtract 5 from 25 once (after which it's no longer 25), with clear and logical explanation, though some might argue the mathematical answer is 5 times, making this a matter of interpretation." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct because it recognizes the riddle\u2019s wording: you can subtract 5 from 25 only once before the starting number changes." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question and provides a clear, logical explanation for why the answer is 'only once,' though it could be more concise." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 4.5 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly interprets the riddle that you can subtract 5 from 25 only once because after the first subtraction the number is no longer 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the clever trick in the question - you can only subtract 5 from 25 once because after that the number changes, though it could acknowledge the alternative interpretation where the answer is 5 times mathematically." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clever and logical, correctly interpreting the question as a riddle about the specific number 25 changing after the first operation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle-like logic that you can subtract 5 from 25 only once, since after the first subtraction you are no longer subtracting from 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question and provides a clear explanation for why the answer is 'once' rather than the naive mathematical answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the literal interpretation of the question and provides a flawless, logical explanation for the answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly interprets the riddle that you can subtract 5 from 25 only once because after the first subtraction the number is no longer 25." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the clever trick in the question - you can only subtract 5 from 25 once because after that the number changes, though it could acknowledge the alternative interpretation where the answer is 5 times mathematically." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is clever and logical, correctly interpreting the question as a riddle about the specific number 25 changing after the first operation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle-like logic that you can subtract 5 from 25 only once, since after the first subtraction you are no longer subtracting from 25." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question and provides a clear explanation for why the answer is 'once' rather than the naive mathematical answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the literal interpretation of the question and provides a flawless, logical explanation for the answer." } }, "majority_correct": true, "avg_score": 4.5 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response gives the standard correct interpretation of the trick question and clearly explains why you can subtract 5 from 25 only once before the number is no longer 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick interpretation and explains it clearly, though it could also acknowledge the straightforward mathematical answer of 5 times as an alternative interpretation." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response gives the standard correct interpretation of the trick question: you can subtract 5 from 25 only once, because after the first subtraction the number is no longer 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick nature of the question and accurately explains that you can only subtract 5 from 25 once before the number changes, with clear logical reasoning, though it could be more concise." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the question as a riddle and provides a clear, logical explanation for the literal interpretation, although it doesn't acknowledge the alternative mathematical meaning." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response gives the standard correct interpretation of the trick question and clearly explains why you can subtract 5 from 25 only once before the number is no longer 25." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick interpretation and explains it clearly, though it could also acknowledge the straightforward mathematical answer of 5 times as an alternative interpretation." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response gives the standard correct interpretation of the trick question: you can subtract 5 from 25 only once, because after the first subtraction the number is no longer 25." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick nature of the question and accurately explains that you can only subtract 5 from 25 once before the number changes, with clear logical reasoning, though it could be more concise." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the question as a riddle and provides a clear, logical explanation for the literal interpretation, although it doesn't acknowledge the alternative mathematical meaning." } }, "majority_correct": true, "avg_score": 4.4 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "This is a classic trick question where the intended answer is 'once' because after the first subtraction you are no longer subtracting from 25, so the response acknowledges but ultimately rejects the standard reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly calculates that 5 can be subtracted from 25 exactly 5 times, and acknowledges the classic riddle interpretation (only once, since after that you're subtracting from 20), though it dismisses that interpretation rather than fully engaging with it as the likely intended trick answer." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it not only provides the correct mathematical steps but also acknowledges and clarifies the ambiguity in the question's wording." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "The response gives the arithmetic count of repeated subtractions, but for this classic reasoning question the intended answer is that you can subtract 5 from 25 only once, so it misses the primary reasoning twist despite noting it." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly calculates the mathematical answer of 5 and even acknowledges the classic riddle interpretation, though giving both answers somewhat hedges rather than committing to the most defensible position." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear, step-by-step mathematical breakdown while also correctly identifying and explaining the common trick or riddle interpretation of the question." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 2, "reasoning": "This is a classic trick question where the intended answer is 'once' because after the first subtraction you are no longer subtracting from 25, so the response acknowledges but ultimately rejects the standard reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly calculates that 5 can be subtracted from 25 exactly 5 times, and acknowledges the classic riddle interpretation (only once, since after that you're subtracting from 20), though it dismisses that interpretation rather than fully engaging with it as the likely intended trick answer." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it not only provides the correct mathematical steps but also acknowledges and clarifies the ambiguity in the question's wording." }, "openai/gpt-5.4:s1": { "correct": false, "score": 2, "reasoning": "The response gives the arithmetic count of repeated subtractions, but for this classic reasoning question the intended answer is that you can subtract 5 from 25 only once, so it misses the primary reasoning twist despite noting it." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly calculates the mathematical answer of 5 and even acknowledges the classic riddle interpretation, though giving both answers somewhat hedges rather than committing to the most defensible position." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear, step-by-step mathematical breakdown while also correctly identifying and explaining the common trick or riddle interpretation of the question." } }, "majority_correct": true, "avg_score": 3.67 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "This is a classic trick question: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, not from 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly calculates that 5 can be subtracted from 25 exactly 5 times, shows clear step-by-step work, and provides a helpful equivalent division explanation, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you're subtracting from 20, not 25)." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "This is a trick question: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, not from 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies 5 as the answer with clear step-by-step work and a helpful division analogy, though it misses the classic trick interpretation that you can only subtract 5 once before it becomes 20 (not 25) making subsequent subtractions from a different number." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly interprets the mathematical meaning of the question, showing its work clearly and even connecting it to division, though it overlooks the common trick or literal interpretation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 2, "reasoning": "This is a classic trick question: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, not from 25." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly calculates that 5 can be subtracted from 25 exactly 5 times, shows clear step-by-step work, and provides a helpful equivalent division explanation, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you're subtracting from 20, not 25)." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": false, "score": 2, "reasoning": "This is a trick question: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, not from 25." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies 5 as the answer with clear step-by-step work and a helpful division analogy, though it misses the classic trick interpretation that you can only subtract 5 once before it becomes 20 (not 25) making subsequent subtractions from a different number." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly interprets the mathematical meaning of the question, showing its work clearly and even connecting it to division, though it overlooks the common trick or literal interpretation." } }, "majority_correct": true, "avg_score": 3.2 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the intended riddle answer as one time while also clearly noting the alternative arithmetic interpretation, showing strong and complete reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the question - the riddle answer (only once, since after that you're subtracting from 20) and the mathematical answer (five times until reaching zero), demonstrating thorough and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly identifies the question's ambiguity and provides two distinct, well-reasoned answers that address both the literal and mathematical interpretations." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the intended riddle answer as one time while also clearly noting the alternative arithmetic interpretation, showing strong and complete reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the question - the riddle answer (only once, since after that you're subtracting from 20) and the mathematical answer (five times until reaching zero), demonstrating thorough and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly identifies the question's ambiguity and provides two distinct, well-reasoned answers that address both the literal and mathematical interpretations." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle's intended logic that only the first subtraction is from 25 and explains it clearly and succinctly." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the riddle's trick answer and explains the logic clearly, though it's a well-known riddle with a straightforward explanation rather than deep reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the question as a riddle and provides a clear, logical explanation for its answer, though it omits the more literal mathematical interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 1, "reasoning": "This is a classic trick question because you can subtract 5 from 25 only once, after which you are subtracting 5 from 20, not from 25." }, "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 verification, 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": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle's intended logic that only the first subtraction is from 25 and explains it clearly and succinctly." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the riddle's trick answer and explains the logic clearly, though it's a well-known riddle with a straightforward explanation rather than deep reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the question as a riddle and provides a clear, logical explanation for its answer, though it omits the more literal mathematical interpretation." }, "openai/gpt-5.4:s1": { "correct": false, "score": 1, "reasoning": "This is a classic trick question because you can subtract 5 from 25 only once, after which you are subtracting 5 from 20, not from 25." }, "anthropic/claude-sonnet-4-6:s1": { "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 verification, 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:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 3.6 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } } } }