{ "run_id": "2026-06-23T13-55-19", "prompts": { "logic-1": { "prompt": "If all bloops are razzies and all razzies are lazzies, are all bloops lazzies?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning from bloops to razzies to lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship between the three sets, clearly explains the subset logic, and arrives at the correct conclusion with concise and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it provides two clear, correct, and complementary explanations for the conclusion, using both set theory (subsets) and formal logic (transitive relationship)." } } }, { "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 to conclude that all bloops are lazzies, and clearly explains the subset relationships that justify the conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly answers the question and uses the concept of subsets to provide a clear, accurate, and concise explanation of the logical deduction." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning from bloops to razzies to lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship between the three sets, clearly explains the subset logic, and arrives at the correct conclusion with concise and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is excellent because it provides two clear, correct, and complementary explanations for the conclusion, using both set theory (subsets) and formal logic (transitive relationship)." }, "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 to conclude that all bloops are lazzies, and clearly explains the subset relationships that justify the conclusion." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly answers the question and uses the concept of subsets to provide a clear, accurate, and concise explanation of the logical deduction." } }, "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 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: bloops \u2192 razzies \u2192 lazzies, therefore bloops \u2192 lazzies, with a clear and concise explanation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the conclusion and provides a clear, concise, and logically perfect explanation by restating the transitive relationship." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because it properly 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 logic, accurately explains the subset relationship, and reaches the right conclusion clearly and concisely." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is logically sound and correctly uses the concept of subsets to demonstrate the transitive relationship, although it could be slightly more concise." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly 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: bloops \u2192 razzies \u2192 lazzies, therefore bloops \u2192 lazzies, with a clear and concise explanation." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the conclusion and provides a clear, concise, and logically perfect explanation by restating the transitive relationship." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct because it properly 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 logic, accurately explains the subset relationship, and reaches the right conclusion clearly and concisely." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is logically sound and correctly uses the concept of subsets to demonstrate the transitive relationship, although it could be slightly more concise." } }, "majority_correct": true, "avg_score": 4.83 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive syllogistic reasoning from bloops to razzies to lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a syllogism, clearly walks through the transitive logic step by step, uses set notation to formalize the reasoning, and arrives at the correct conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly answers the question, clearly explains the transitive logic step-by-step, and accurately identifies the argument as a syllogism." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive set inclusion to conclude that if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic (syllogism), clearly explains each step, uses set notation to reinforce the conclusion, and arrives at the correct answer." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, featuring a clear step-by-step breakdown, the correct identification of the logical form (syllogism), and an accurate formal notation that makes the logic indisputable." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive syllogistic reasoning from bloops to razzies to lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a syllogism, clearly walks through the transitive logic step by step, uses set notation to formalize the reasoning, and arrives at the correct conclusion." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly answers the question, clearly explains the transitive logic step-by-step, and accurately identifies the argument as a syllogism." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive set inclusion to conclude that if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic (syllogism), clearly explains each step, uses set notation to reinforce the conclusion, and arrives at the correct answer." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, featuring a clear step-by-step breakdown, the correct identification of the logical form (syllogism), and an accurate formal notation that makes the logic indisputable." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive categorical reasoning: if all bloops are 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 reasoning to conclude all bloops are lazzies, clearly identifying the syllogistic structure and explaining each step logically." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it not only provides the correct answer but also accurately identifies the formal name for this type of logical deduction (syllogism) and explains it clearly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive property of logic, clearly lays out both premises, and draws the valid conclusion that all bloops are lazzies with concise and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the premises, draws the correct conclusion, and accurately names the underlying logical principle (transitivity) in a clear, step-by-step format." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly 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 reasoning to conclude all bloops are lazzies, clearly identifying the syllogistic structure and explaining each step logically." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is excellent because it not only provides the correct answer but also accurately identifies the formal name for this type of logical deduction (syllogism) and explains it clearly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive property of logic, clearly lays out both premises, and draws the valid conclusion that all bloops are lazzies with concise and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the premises, draws the correct conclusion, and accurately names the underlying logical principle (transitivity) in a clear, step-by-step format." } }, "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 logically correct and clearly applies transitive reasoning from bloops to razzies to lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies the transitive property of logic to conclude that all bloops are lazzies, with a clear and well-structured explanation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it correctly identifies the logical principle of transitivity and clearly demonstrates its application to the terms in the question." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies valid transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each step of the syllogism, and provides a helpful abstract generalization of the pattern." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it is logically sound, clearly identifies the transitive property by name, and illustrates the abstract logical structure." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive reasoning from bloops to razzies to lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies the transitive property of logic to conclude that all bloops are lazzies, with a clear and well-structured explanation." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it correctly identifies the logical principle of transitivity and clearly demonstrates its application to the terms in the question." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies valid transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each step of the syllogism, and provides a helpful abstract generalization of the pattern." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it is logically sound, clearly identifies the transitive property by name, and illustrates the abstract logical structure." } }, "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 logically 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 to reach the right conclusion, provides clear step-by-step reasoning, and uses an effective visual analogy with nested boxes to illustrate the concept." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a correct answer, a clear step-by-step logical deduction, and an excellent, easy-to-understand analogy that perfectly illustrates the transitive nature of the argument." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each premise with an intuitive set/subset analogy, and reinforces the conclusion with a relatable real-world example." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the premises, explains the logical deduction in simple terms, and uses a perfect analogy to make the concept clear." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic to reach the right conclusion, provides clear step-by-step reasoning, and uses an effective visual analogy with nested boxes to illustrate the concept." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response provides a correct answer, a clear step-by-step logical deduction, and an excellent, easy-to-understand analogy that perfectly illustrates the transitive nature of the argument." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each premise with an intuitive set/subset analogy, and reinforces the conclusion with a relatable real-world example." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the premises, explains the logical deduction in simple terms, and uses a perfect analogy to make the concept clear." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are necessarily lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains the syllogism with set containment reasoning, and arrives at the right conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the conclusion and provides a clear, step-by-step logical breakdown of the premises that is easy to follow." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive deductive reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly applies transitive logic to reach the right conclusion, clearly explaining the chain of reasoning, though it lacks formal structure or mention of the transitive property by name." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response is correct and clearly explains the step-by-step logic, but it lacks the formal terminology (e.g., syllogism, transitive property) that would make it excellent." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are necessarily lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains the syllogism with set containment reasoning, and arrives at the right conclusion." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the conclusion and provides a clear, step-by-step logical breakdown of the premises that is easy to follow." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive deductive 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": 4, "reasoning": "The response correctly applies transitive logic to reach the right conclusion, clearly explaining the chain of reasoning, though it lacks formal structure or mention of the transitive property by name." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response is correct and clearly explains the step-by-step logic, but it lacks the formal terminology (e.g., syllogism, transitive property) that would make it excellent." } }, "majority_correct": true, "avg_score": 4.67 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "math-1": { "prompt": "A bat and a ball cost $1.10 together. The bat costs $1 more than the ball. How much does the ball cost?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and reaches 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 correct answer of 5 cents while avoiding the common intuitive error of answering 10 cents." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the variables, sets up the proper algebraic equation, and follows a clear, logical sequence of steps to arrive at the correct answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and reaches the correct answer that the ball costs 5 cents." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of 5 cents while avoiding the common intuitive error of answering 10 cents." }, "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 and solving it with clear, step-by-step logic." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and reaches 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 correct answer of 5 cents while avoiding the common intuitive error of answering 10 cents." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the variables, sets up the proper algebraic equation, and follows a clear, logical sequence of steps to arrive at the correct answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and reaches the correct answer that the ball costs 5 cents." }, "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 5 cents while avoiding the common intuitive error of answering 10 cents." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response demonstrates excellent reasoning by correctly translating the word problem into an algebraic equation and solving it with clear, step-by-step logic." } }, "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 accurately, and reaches the correct conclusion that the ball costs $0.05." }, "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." }, "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 and solving it with clear, logical steps." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and arrives at the correct answer that the ball costs $0.05." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equations, solves them step-by-step, and arrives at the correct answer of $0.05 for the ball." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly sets up and solves the algebraic equation step-by-step, but it could be made excellent by adding a final step to verify the answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and reaches the correct conclusion that the ball costs $0.05." }, "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." }, "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 and solving it with clear, logical steps." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and arrives at the correct answer that the ball costs $0.05." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equations, solves them step-by-step, and arrives at the correct answer of $0.05 for the ball." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly sets up and solves the algebraic equation step-by-step, but it could be made excellent by adding a final step to verify the answer." } }, "majority_correct": true, "avg_score": 4.83 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear algebra with a proper check, showing excellent reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the common mistake, sets up the algebraic equations properly, solves them accurately to get $0.05, and verifies the answer with a clear check." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly sets up an algebraic equation, shows the step-by-step solution clearly, and verifies the final answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the equation, verifies the result, and clearly explains why the common intuitive answer is wrong." }, "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 reasoning is excellent because it provides a flawless step-by-step algebraic solution, includes a verification check, and proactively addresses the common incorrect intuitive answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear algebra with a proper check, showing excellent reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the common mistake, sets up the algebraic equations properly, solves them accurately to get $0.05, and verifies the answer with a clear check." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly sets up an algebraic equation, shows the step-by-step solution clearly, and verifies the final answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the equation, verifies the result, and clearly explains why the common intuitive answer is wrong." }, "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 reasoning is excellent because it provides a flawless step-by-step algebraic solution, includes a verification check, and proactively addresses the common incorrect intuitive answer." } }, "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 sets up the equations, solves them accurately to get 5 cents, and verifies the result while addressing the common incorrect intuition." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the system of equations, arrives at the right answer of $0.05, verifies the solution, and even addresses the common cognitive bias that leads people to the wrong answer of $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a flawless algebraic solution, explains the common pitfall, and verifies the final answer, making it exceptionally clear and comprehensive." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the right equations, solves them accurately to get 5 cents, and even checks the common wrong answer." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLKut4tPqEgYstiBYGvR\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it presents a clear, step-by-step algebraic solution and proactively explains why the common intuitive answer is incorrect." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately to get 5 cents, and verifies the result while addressing the common incorrect intuition." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the system of equations, arrives at the right answer of $0.05, verifies the solution, and even addresses the common cognitive bias that leads people to the wrong answer of $0.10." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response provides a flawless algebraic solution, explains the common pitfall, and verifies the final answer, making it exceptionally clear and comprehensive." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the right equations, solves them accurately to get 5 cents, and even checks the common wrong answer." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLKut4tPqEgYstiBYGvR\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it presents a clear, step-by-step algebraic solution and proactively explains why the common intuitive answer is incorrect." } }, "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 defines variables, sets up the right equation, solves it accurately, 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 algebraic equations, solves them accurately to get $0.05, and verifies the answer, avoiding the common intuitive trap of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it follows a clear and logical structure: defining variables, setting up the correct equation, solving it step-by-step, 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 accurately, and verifies the result, showing clear and complete reasoning." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLKzDypUsdz5XfhL3u1a\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly translates the problem into algebraic equations, solves them systematically, and includes a verification step, demonstrating a complete and robust reasoning process." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the right equation, solves it accurately, and verifies that the ball costs $0.05 and the bat $1.05 for a total of $1.10." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up algebraic equations, solves them accurately to get $0.05, and verifies the answer, avoiding the common intuitive trap of answering $0.10." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it follows a clear and logical structure: defining variables, setting up the correct equation, solving it step-by-step, and verifying the final answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and verifies the result, showing clear and complete reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLKzDypUsdz5XfhL3u1a\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly translates the problem into algebraic equations, solves them systematically, and includes a verification step, demonstrating a complete and robust reasoning 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 is mathematically correct, clearly identifies the common trap, uses valid algebraic reasoning, and verifies the result accurately." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLL1MrruhfpUtqrEoumC\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it not only provides the correct algebraic solution but also preemptively addresses and debunks the common intuitive but incorrect answer, making the explanation exceptionally clear and comprehensive." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly sets up and solves the equation, verifies the result, and addresses the common incorrect intuition." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLL2iGUYCVC5qEXYX6aS\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly sets up and solves the algebraic equation, verifies the result, and explains why the common intuitive answer is wrong." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is mathematically correct, clearly identifies the common trap, uses valid algebraic reasoning, and verifies the result accurately." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLL1MrruhfpUtqrEoumC\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is excellent because it not only provides the correct algebraic solution but also preemptively addresses and debunks the common intuitive but incorrect answer, making the explanation exceptionally clear and comprehensive." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly sets up and solves the equation, verifies the result, and addresses the common incorrect intuition." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLL2iGUYCVC5qEXYX6aS\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly sets up and solves the algebraic equation, verifies the result, and explains why the common intuitive answer is wrong." } }, "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, valid algebra with a proper substitution and verification step to reach the right answer of $0.05." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLL3sJy79YfdBxF2uWn3\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equations, solves them step-by-step with clear logic, and verifies the final answer, demonstrating a complete and flawless reasoning process." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response sets up the equations correctly, solves them step by step without error, and verifies the result, so both the answer and reasoning are excellent." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLL64LZ78z7a9VFL3Txn\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into algebraic equations and solves them with clear, logical, step-by-step reasoning, including a final check to verify the answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear, valid algebra with a proper substitution and verification step to reach the right answer of $0.05." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLL3sJy79YfdBxF2uWn3\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equations, solves them step-by-step with clear logic, and verifies the final answer, demonstrating a complete and flawless reasoning process." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response sets up the equations correctly, solves them step by step without error, and verifies the result, so both the answer and reasoning are excellent." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLL64LZ78z7a9VFL3Txn\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into algebraic equations and solves them with clear, logical, step-by-step reasoning, including a final check to verify the answer." } }, "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 to east and arrives at the correct final direction." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLL7GX4NafbLYutH24HF\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response flawlessly breaks down the problem into sequential steps, correctly identifying 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 and reaches the right final direction." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLL93AgtFF67KGDEmwGB\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the direction through each sequential turn, showing the logic for each step in a clear and easy-to-follow format." } } } ], "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 arrives at the correct final direction." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLL7GX4NafbLYutH24HF\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response flawlessly breaks down the problem into sequential steps, correctly identifying 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 and reaches the right final direction." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLL93AgtFF67KGDEmwGB\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the direction through each sequential turn, showing the logic for each step in a clear and easy-to-follow format." } }, "majority_correct": true, "avg_score": 5.0 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "The response is internally inconsistent because it first states south but the step-by-step reasoning correctly leads to east, so the final answer should be east." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLADuPH5ARjamtpXU1Z\"}" }, "gemini/gemini-2.5-pro": { "correct": false, "score": 3, "reasoning": "The response contradicts itself by stating the wrong final answer (south) despite the step-by-step reasoning correctly concluding the answer is east." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "The final computed direction is east, but the response first states south, so it is internally inconsistent and overall not correct." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLBSJ3Uo1xu93jKAdre\"}" }, "gemini/gemini-2.5-pro": { "correct": false, "score": 2, "reasoning": "The step-by-step logic is perfectly correct, but it arrives at a different conclusion than the initial answer provided, making the overall response self-contradictory and incorrect." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 2, "reasoning": "The response is internally inconsistent because it first states south but the step-by-step reasoning correctly leads to east, so the final answer should be east." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLADuPH5ARjamtpXU1Z\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": false, "score": 3, "reasoning": "The response contradicts itself by stating the wrong final answer (south) despite the step-by-step reasoning correctly concluding the answer is east." }, "openai/gpt-5.4:s1": { "correct": false, "score": 2, "reasoning": "The final computed direction is east, but the response first states south, so it is internally inconsistent and overall not correct." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLBSJ3Uo1xu93jKAdre\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": false, "score": 2, "reasoning": "The step-by-step logic is perfectly correct, but it arrives at a different conclusion than the initial answer provided, making the overall response self-contradictory and incorrect." } }, "majority_correct": false, "avg_score": 2.25 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and the step-by-step directional reasoning is clear, complete, and logically consistent." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLCzFgQXE2J51v9aG6p\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response breaks the problem down into a clear, step-by-step list that is logically sound and easy to follow." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly follows each turn in sequence from North to East to South to East." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLE4h7VsPcJxSxboMPm\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response uses a clear, step-by-step method that correctly tracks the direction after each turn, making the reasoning exceptionally easy to follow." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and the step-by-step directional reasoning is clear, complete, and logically consistent." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLCzFgQXE2J51v9aG6p\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response breaks the problem down into a clear, step-by-step list that is logically sound and easy to follow." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly follows each turn in sequence from North to East to South to East." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLE4h7VsPcJxSxboMPm\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response uses a clear, step-by-step method that correctly tracks the direction after each turn, making the reasoning exceptionally easy to follow." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the sequence North \u2192 East \u2192 South \u2192 East and reaches the right final direction with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLFz56sLEui4h2iUJfu\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response methodically breaks down the problem into a clear, accurate, and easy-to-follow sequence of steps, which is a perfect way to solve this type of question." } } }, { "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": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLJHtiemHuJ22VcHYet\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response methodically tracks the direction through each turn, providing a clear, accurate, and easy-to-follow logical sequence." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the sequence North \u2192 East \u2192 South \u2192 East and reaches the right final direction with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLFz56sLEui4h2iUJfu\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response methodically breaks down the problem into a clear, accurate, and easy-to-follow sequence of steps, which is a perfect way to solve this type of question." }, "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": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLJHtiemHuJ22VcHYet\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response methodically tracks the direction through each turn, providing a clear, accurate, and easy-to-follow logical sequence." } }, "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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLL5ux6Wmd6f6oUGYWc\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly follows each directional turn in a clear, step-by-step process that is logical and easy to understand." } } }, { "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 and then left to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLM7N3PzoWNSQbsucnc\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into clear, logical steps, accurately tracking the direction after each turn to arrive at the correct answer." } } } ], "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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLL5ux6Wmd6f6oUGYWc\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly follows each directional turn in a clear, step-by-step process that is logical and easy to understand." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south and then left to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLM7N3PzoWNSQbsucnc\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into clear, logical steps, accurately tracking the direction after each turn to arrive at the correct answer." } }, "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 step-by-step directional reasoning is accurate and clearly leads from North to East after the stated turns." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLNGVjx3brsdXB5J8Ug\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into a clear, sequential, and easy-to-follow set of steps that logically leads to the correct answer." } } }, { "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 arrives at the right final direction with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLPhSxASJZ5Qjto9pxs\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into sequential steps, with each logical deduction being accurate and easy to follow." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The step-by-step directional reasoning is accurate and clearly leads from North to East after the stated turns." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLNGVjx3brsdXB5J8Ug\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into a clear, sequential, and easy-to-follow set of steps that logically leads to the correct answer." }, "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 arrives at the right final direction with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLPhSxASJZ5Qjto9pxs\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into sequential steps, with each logical deduction being accurate and easy to follow." } }, "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 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": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLQreckCotq5zjAVHvB\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it logically follows a clear, step-by-step process, correctly identifying the resulting direction at each stage." } } }, { "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 arrives at the right final direction with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLSLrY4KGdauVzHimf2\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response breaks the problem down into a clear, sequential, and logically sound process that is easy to follow and arrives at 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 to East and reaches the right final direction with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLQreckCotq5zjAVHvB\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it logically follows a clear, step-by-step process, correctly identifying the resulting direction at each stage." }, "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 arrives at the right final direction with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLSLrY4KGdauVzHimf2\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response breaks the problem down into a clear, sequential, and logically sound process that is easy to follow and arrives at the correct conclusion." } }, "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": "It correctly identifies the Monopoly riddle and clearly explains how pushing the car token to a hotel property causes him to lose all his money." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLTraV9uPjGYJzTgoB2\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the lateral-thinking solution and clearly explains how each element of the riddle maps to the rules of the board game Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle and clearly explains how pushing the car token to a hotel property causes the player to lose his fortune." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLV1MMxUF9AGwL79dn1\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly solves the riddle by reinterpreting the ambiguous terms within the context of the board game Monopoly, providing a logical and complete explanation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how pushing the car token to a hotel property causes him to lose all his money." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLTraV9uPjGYJzTgoB2\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the lateral-thinking solution and clearly explains how each element of the riddle maps to the rules of the board game Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle and clearly explains how pushing the car token to a hotel property causes the player to lose his fortune." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLV1MMxUF9AGwL79dn1\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly solves the riddle by reinterpreting the ambiguous terms within the context of the board game Monopoly, providing a logical and complete explanation." } }, "majority_correct": true, "avg_score": 4.75 }, "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 and clearly explains how the car, hotel, and lost fortune all map to Monopoly." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLVyVXDFo8GDNugczPr\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it precisely deconstructs the riddle, explaining how each key phrase ('car', 'hotel', 'loses his fortune') maps to a specific element or event in the game of Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle answer\u2014he is playing Monopoly\u2014and clearly explains how pushing a token to a hotel can cause him to lose his money." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLXYuxoTUAGvTUyLYKi\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the wordplay in the riddle and provides a clear, logical explanation by mapping each part of the question to the rules and components of the game Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle answer and clearly explains how the car, hotel, and lost fortune all map to Monopoly." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLVyVXDFo8GDNugczPr\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it precisely deconstructs the riddle, explaining how each key phrase ('car', 'hotel', 'loses his fortune') maps to a specific element or event in the game of Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle answer\u2014he is playing Monopoly\u2014and clearly explains how pushing a token to a hotel can cause him to lose his money." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLXYuxoTUAGvTUyLYKi\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the wordplay in the riddle and provides a clear, logical explanation by mapping each part of the question to the rules and components of the game Monopoly." } }, "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": "It identifies the classic Monopoly riddle correctly and clearly explains how pushing the car token to a hotel leads to losing one's fortune." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLYQQmemm7DomumAJ3w\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly deconstructs the riddle's non-literal elements and logically maps each part to the specific rules and pieces of the Monopoly board game." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response identifies the standard Monopoly riddle answer and gives a clear, logically consistent explanation connecting the car token, hotel space, and loss of fortune." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLZGUoYsJtAL61KBPiJ\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it systematically breaks down each phrase of the riddle, correctly identifying the alternative meanings that lead to the correct answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It identifies the classic Monopoly riddle correctly and clearly explains how pushing the car token to a hotel leads to losing one's fortune." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLYQQmemm7DomumAJ3w\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly deconstructs the riddle's non-literal elements and logically maps each part to the specific rules and pieces of the Monopoly board game." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response identifies the standard Monopoly riddle answer and gives a clear, logically consistent explanation connecting the car token, hotel space, and loss of fortune." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLZGUoYsJtAL61KBPiJ\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it systematically breaks down each phrase of the riddle, correctly identifying the alternative meanings that lead to the correct answer." } }, "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 identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel leads to losing all his money." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLaoDmksWF2r5SNVsk7\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the puzzle's context and concisely explains how each element of the riddle maps perfectly to the game's mechanics." } } }, { "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 fortune." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLcopYfVJ7idKamrFJh\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, as it correctly identifies the classic answer and provides a concise and flawless explanation connecting every element of the riddle to the game of Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel leads to losing all his money." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLaoDmksWF2r5SNVsk7\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the puzzle's context and concisely explains how each element of the riddle maps perfectly to the game's mechanics." }, "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 fortune." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLcopYfVJ7idKamrFJh\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, as it correctly identifies the classic answer and provides a concise and flawless explanation connecting every element of the riddle to the game of Monopoly." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel causes the player to lose all his money." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLf4LEDWJbAapP3XjVc\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the classic answer and provides a clear, logical explanation that connects each part of the riddle to the rules and components of the board game Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response identifies the intended Monopoly riddle answer and clearly explains how pushing the car to a hotel causes the man to lose his fortune." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLg54AMLta1VmoCFpCh\"}" }, "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 logically connects every part of the riddle to the game of Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel causes the player to lose all his money." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLf4LEDWJbAapP3XjVc\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the classic answer and provides a clear, logical explanation that connects each part of the riddle to the rules and components of the board game Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response identifies the intended Monopoly riddle answer and clearly explains how pushing the car to a hotel causes the man to lose his fortune." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLg54AMLta1VmoCFpCh\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer to the riddle and provides a clear, concise explanation that logically connects every part of the riddle to the game of Monopoly." } }, "majority_correct": true, "avg_score": 4.75 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how pushing the car to a hotel leads to losing his fortune." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLh77iQYU16Fp3EUEJY\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the answer to the classic riddle and provides a perfect, step-by-step explanation for how each part of the puzzle relates to the game of Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and gives a clear, logically complete explanation connecting the car, hotel, and loss of fortune." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLiX97GL3vuVRDZ9PHZ\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly deconstructs the riddle by correctly reinterpreting each ambiguous word ('car', 'push', 'hotel', 'fortune') within the logical context of a Monopoly game." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how pushing the car to a hotel leads to losing his fortune." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLh77iQYU16Fp3EUEJY\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the answer to the classic riddle and provides a perfect, step-by-step explanation for how each part of the puzzle relates to the game of Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and gives a clear, logically complete explanation connecting the car, hotel, and loss of fortune." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLiX97GL3vuVRDZ9PHZ\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response perfectly deconstructs the riddle by correctly reinterpreting each ambiguous word ('car', 'push', 'hotel', 'fortune') within the logical context of a Monopoly game." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 1, "reasoning": "This is the classic Monopoly riddle: he landed on the hotel space after pushing his car token and lost his fortune, so the casino explanation is incorrect and the reasoning is poor." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLjuGQh1K7WVJCCNE3b\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": false, "score": 3, "reasoning": "The response provides a logical real-world scenario but fails to recognize the question is a classic riddle about the board game Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 1, "reasoning": "The classic answer is that he was playing Monopoly, so interpreting 'pushes his car' as casino gambling is incorrect and unsupported." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLn1MaWfY4V2mtV2UZW\"}" }, "gemini/gemini-2.5-pro": { "correct": false, "score": 2, "reasoning": "The response is incorrect because it misses the classic answer (the man was playing Monopoly) and its reasoning fails to account for the word 'car'." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 1, "reasoning": "This is the classic Monopoly riddle: he landed on the hotel space after pushing his car token and lost his fortune, so the casino explanation is incorrect and the reasoning is poor." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLjuGQh1K7WVJCCNE3b\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s0": { "correct": false, "score": 3, "reasoning": "The response provides a logical real-world scenario but fails to recognize the question is a classic riddle about the board game Monopoly." }, "openai/gpt-5.4:s1": { "correct": false, "score": 1, "reasoning": "The classic answer is that he was playing Monopoly, so interpreting 'pushes his car' as casino gambling is incorrect and unsupported." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLn1MaWfY4V2mtV2UZW\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": false, "score": 2, "reasoning": "The response is incorrect because it misses the classic answer (the man was playing Monopoly) and its reasoning fails to account for the word 'car'." } }, "majority_correct": false, "avg_score": 1.75 }, "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 is correct and clearly explains that the recursive function implements the Fibonacci sequence with base cases 0 and 1, correctly deriving f(5) = 5 step by step." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLq2E18BXu8NamkxHSr\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the function's purpose (Fibonacci sequence), states the base cases, and clearly demonstrates the step-by-step calculation to the correct answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, computes the base cases and subsequent values accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLrUTcAuxqrajX3U8wN\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function and traces the steps, but it omits the explicit values being added in each recursive calculation (e.g., f(5) = 3 + 2 = 5)." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly explains that the recursive function implements the Fibonacci sequence with base cases 0 and 1, correctly deriving f(5) = 5 step by step." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLq2E18BXu8NamkxHSr\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the function's purpose (Fibonacci sequence), states the base cases, and clearly demonstrates the step-by-step calculation to the correct answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, computes the base cases and subsequent values accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLLrUTcAuxqrajX3U8wN\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function and traces the steps, but it omits the explicit values being added in each recursive calculation (e.g., f(5) = 3 + 2 = 5)." } }, "majority_correct": true, "avg_score": 4.75 }, "openai/gpt-5.4-mini": { "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 step by step." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLsrYB2gztt5MFJsVxH\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function's base cases and recursive step, and it clearly shows the calculation building from the base cases to the final result." } } }, { "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 and recurrence properly, and reaches the correct return value of 5 for input 5." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLuL5uZ2TCJvEqPCxrq\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and the conclusion is correct, but it omits the steps for calculating the intermediate values of f(4) and f(3)." } } } ], "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 step by step." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLsrYB2gztt5MFJsVxH\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function's base cases and recursive step, and it clearly shows the calculation building from the base cases to the final result." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, applies the base cases and recurrence properly, and reaches the correct return value of 5 for input 5." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLuL5uZ2TCJvEqPCxrq\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and the conclusion is correct, but it omits the steps for calculating the intermediate values of f(4) and f(3)." } }, "majority_correct": true, "avg_score": 4.5 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls and base cases, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLvN6EQC2wfuzVE21oP\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correct, but it presents a logical bottom-up calculation instead of a true trace of the redundant recursive calls." } } }, { "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 output f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLwdqJmb9jRdVTcJbiA\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and well-structured with an excellent summary table, but the initial breakdown simplifies the true, nested order of the recursive calls." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls and base cases, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLvN6EQC2wfuzVE21oP\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correct, but it presents a logical bottom-up calculation instead of a true trace of the redundant recursive calls." }, "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 output f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLwdqJmb9jRdVTcJbiA\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and well-structured with an excellent summary table, but the initial breakdown simplifies the true, nested order of the recursive calls." } }, "majority_correct": true, "avg_score": 4.5 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci function, traces the base cases and recursive buildup accurately, and arrives at the correct result of 5." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLyNiGcCfxnrRxR9vQk\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The step-by-step trace correctly identifies the base cases and builds up to the final answer, though it simplifies the full recursive call structure." } } }, { "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 consistently, and arrives at the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLznBSKdoWE6RApVpwk\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and all calculations are correct, but the visual trace of the recursion is slightly unconventional and could be presented more clearly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci function, traces the base cases and recursive buildup accurately, and arrives at the correct result of 5." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLyNiGcCfxnrRxR9vQk\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The step-by-step trace correctly identifies the base cases and builds up to the final answer, though it simplifies the full recursive call structure." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls consistently, and arrives at the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLLznBSKdoWE6RApVpwk\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and all calculations are correct, but the visual trace of the recursion is slightly unconventional and could be presented more clearly." } }, "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 function as Fibonacci, traces the recursive calls accurately, and arrives at the correct result f(5) = 5 with clear reasoning." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLM27gy9d4YkQSzAozXv\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and the conclusion is correct, but the trace presented is a logical bottom-up calculation rather than a true trace of the redundant recursive calls." } } }, { "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 value f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLM3QqdHRR12QsDMVtcs\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function's behavior and provides a clear, step-by-step trace to the correct answer, though its trace shows a linear calculation rather than the true branching tree of recursive calls." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and arrives at the correct result f(5) = 5 with clear reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLM27gy9d4YkQSzAozXv\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and the conclusion is correct, but the trace presented is a logical bottom-up calculation rather than a true trace of the redundant recursive calls." }, "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 value f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLM3QqdHRR12QsDMVtcs\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function's behavior and provides a clear, step-by-step trace to the correct answer, though its trace shows a linear calculation rather than the true branching tree of recursive calls." } }, "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 identifies the recursive function as Fibonacci, accurately traces the base cases and recursive calls, and arrives at the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLM4dgKbU1MQw4DqSeRh\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is logically sound and reaches the correct conclusion, though its step-by-step trace simplifies the actual recursive execution by not showing redundant computations." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, computes f(5)=5 accurately, and provides a clear step-by-step justification." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLM6HskxbbPPFFwV2d5B\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function's purpose (Fibonacci sequence) and provides a perfectly clear, accurate, step-by-step breakdown of the recursive calls and calculations." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, accurately traces the base cases and recursive calls, and arrives at the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLM4dgKbU1MQw4DqSeRh\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is logically sound and reaches the correct conclusion, though its step-by-step trace simplifies the actual recursive execution by not showing redundant computations." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, computes f(5)=5 accurately, and provides a clear step-by-step justification." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLM6HskxbbPPFFwV2d5B\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function's purpose (Fibonacci sequence) and provides a perfectly clear, accurate, step-by-step breakdown of the recursive calls and calculations." } }, "majority_correct": true, "avg_score": 4.75 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and arrives at the correct result of 5 with clear reasoning." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLM83hn2DgTQouCB33tY\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly identifies the function's behavior, correctly traces the recursive calls down to the base cases, and then accurately calculates the result by substituting the values back up the call stack." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly evaluates the recursive Fibonacci function at n=5, shows the base cases and substitutions clearly, and arrives at the correct result of 5." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLM9HNL9DA8ejLn21Euh\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and step-by-step, correctly breaking down the problem, though its trace simplifies the actual recursive execution by not showing repeated calculations." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and arrives at the correct result of 5 with clear reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLM83hn2DgTQouCB33tY\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response perfectly identifies the function's behavior, correctly traces the recursive calls down to the base cases, and then accurately calculates the result by substituting the values back up the call stack." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly evaluates the recursive Fibonacci function at n=5, shows the base cases and substitutions clearly, and arrives at the correct result of 5." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLM9HNL9DA8ejLn21Euh\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and step-by-step, correctly breaking down the problem, though its trace simplifies the actual recursive execution by not showing repeated calculations." } }, "majority_correct": true, "avg_score": 4.75 }, "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 the trophy is the item too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLMAaXjFdgHFa8brxoz3\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun's antecedent to answer the question, but it doesn't explain the underlying logic of why 'it' must refer to the trophy and not the suitcase." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun so that 'it' refers to the trophy, and the explanation clearly matches the causal meaning of the sentence." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMBbtN2qWiMBJyyeRdU\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning correctly uses real-world logic to resolve the ambiguity, correctly identifying that the item failing to fit is the one with the problematic size." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by identifying that the trophy is the item too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLMAaXjFdgHFa8brxoz3\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun's antecedent to answer the question, but it doesn't explain the underlying logic of why 'it' must refer to the trophy and not the suitcase." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun so that 'it' refers to the trophy, and the explanation clearly matches the causal meaning of the sentence." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMBbtN2qWiMBJyyeRdU\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning correctly uses real-world logic to resolve the ambiguity, correctly identifying that the item failing to fit is the one with the problematic size." } }, "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 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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMCeXeAwCDx7YgLCjvg\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun \"it\" by using the logical context of the sentence to identify the trophy as the oversized object." } } }, { "sample_index": 1, "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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMDgQn1yquAvYPgBkL5\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly uses contextual logic to resolve the ambiguous pronoun, understanding that the object being placed (the trophy) is the one that is too big to fit." } } } ], "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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMCeXeAwCDx7YgLCjvg\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun \"it\" by using the logical context of the sentence to identify the trophy as the oversized object." }, "openai/gpt-5.4:s1": { "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:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMDgQn1yquAvYPgBkL5\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly uses contextual logic to resolve the ambiguous pronoun, understanding that the object being placed (the trophy) is the one that is too big to fit." } }, "majority_correct": true, "avg_score": 4.5 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by comparing both possible antecedents and using commonsense physical reasoning to show that only the trophy being too big explains why it does not fit." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMEsUKGddQQF8NrukqK\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the ambiguous pronoun, systematically tests both possible interpretations against real-world logic, and successfully uses elimination to arrive at the correct answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by testing both possible referents and choosing the only interpretation that logically explains why the trophy would not fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMFr3H3wwWyZ6cRnr9A\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the ambiguous pronoun, systematically evaluates both possible interpretations using commonsense logic, and clearly explains why one is valid and the other is not." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by comparing both possible antecedents and using commonsense physical reasoning to show that only the trophy being too big explains why it does not fit." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMEsUKGddQQF8NrukqK\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the ambiguous pronoun, systematically tests both possible interpretations against real-world logic, and successfully uses elimination to arrive at the correct answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by testing both possible referents and choosing the only interpretation that logically explains why the trophy would not fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMFr3H3wwWyZ6cRnr9A\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the ambiguous pronoun, systematically evaluates both possible interpretations using commonsense logic, and clearly explains why one is valid and the other is not." } }, "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 because in this commonsense pronoun-resolution sentence, 'too big' refers to the trophy, and the explanation clearly and accurately justifies why." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMGsyt9Jhz6T6Mas4oP\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it perfectly resolves the ambiguity by analyzing the causal relationship and demonstrating why the alternative interpretation is logically impossible." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to 'the trophy' and accurately explains that the trophy is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMJ96zodTdAoQ4bgdyg\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response is correct and clearly identifies the referent, but it doesn't explain the underlying logical constraint that makes the trophy the only possible answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct because in this commonsense pronoun-resolution sentence, 'too big' refers to the trophy, and the explanation clearly and accurately justifies why." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMGsyt9Jhz6T6Mas4oP\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it perfectly resolves the ambiguity by analyzing the causal relationship and demonstrating why the alternative interpretation is logically impossible." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to 'the trophy' and accurately explains that the trophy is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMJ96zodTdAoQ4bgdyg\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response is correct and clearly identifies the referent, but it doesn't explain the underlying logical constraint that makes the trophy the only possible answer." } }, "majority_correct": true, "avg_score": 4.75 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because in the sentence 'The trophy doesn't fit in the suitcase because it's too big,' the pronoun 'it' most naturally refers to the trophy, whose excessive size explains why it cannot fit." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMKJ1Z95t57RrbQhWUD\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent of the pronoun based on the logical context, but the reasoning is slightly circular without explicitly ruling out the illogical alternative." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The answer is correct because in this sentence 'it' refers to the trophy, which is the object that would be too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLMLdPA4K7op4EqL1ci1\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the answer and provides a clear grammatical explanation, but it could be perfected by also including the common-sense logic that a suitcase being 'too big' would not prevent a trophy from fitting inside it." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct because in the sentence 'The trophy doesn't fit in the suitcase because it's too big,' the pronoun 'it' most naturally refers to the trophy, whose excessive size explains why it cannot fit." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMKJ1Z95t57RrbQhWUD\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent of the pronoun based on the logical context, but the reasoning is slightly circular without explicitly ruling out the illogical alternative." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The answer is correct because in this sentence 'it' refers to the trophy, which is the object that would be too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLMLdPA4K7op4EqL1ci1\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the answer and provides a clear grammatical explanation, but it could be perfected by also including the common-sense logic that a suitcase being 'too big' would not prevent a trophy from fitting inside it." } }, "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 to 'the trophy' and gives clear, sound reasoning that rules out the suitcase as the thing that is too big." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMMdGVRHT69KuB1Xubq\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the ambiguous pronoun, logically tests both possibilities, and uses a clear process of elimination to arrive at the correct conclusion." } } }, { "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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMP3fTo35zTPvD3hhy7\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the logical subject, but it does not explain the simple causal reasoning used to resolve the pronoun's ambiguity." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun to 'the trophy' and gives clear, sound reasoning that rules out the suitcase as the thing that is too big." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMMdGVRHT69KuB1Xubq\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the ambiguous pronoun, logically tests both possibilities, and uses a clear process of elimination to arrive at the correct conclusion." }, "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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMP3fTo35zTPvD3hhy7\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the logical subject, but it does not explain the simple causal reasoning used to resolve the pronoun's ambiguity." } }, "majority_correct": true, "avg_score": 4.75 }, "gemini/gemini-2.5-flash": { "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 object that does not fit is the one described as too big." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMPxCact5gpxN2LWwY4\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun 'it' by understanding the context that the object attempting to fit inside another is the one whose size is the problem." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy, since the object that does not fit is the one described as too big." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMQoWEB53NQaJV9CktE\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun 'it' by using common-sense knowledge that the object that fails to fit is the one with the problematic size." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy, since the object that does not fit is the one described as too big." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMPxCact5gpxN2LWwY4\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun 'it' by understanding the context that the object attempting to fit inside another is the one whose size is the problem." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy, since the object that does not fit is the one described as too big." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMQoWEB53NQaJV9CktE\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun 'it' by using common-sense knowledge that the object that fails to fit is the one with the problematic size." } }, "majority_correct": true, "avg_score": 4.5 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "common-sense-1": { "prompt": "How many times can you subtract 5 from 25?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle\u2019s intended logic that only the first subtraction is from 25, and it explains that reasoning clearly and succinctly." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMReR4R9pEjYLmiN2MA\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the trick in the question's literal wording, though it doesn't acknowledge the alternative mathematical interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly recognizes the riddle-like wording that after one subtraction, the number is no longer 25, so the reasoning is accurate and clear." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMSvBsKPNuzsVCe8MPy\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the semantic trick in the question, focusing on the literal interpretation that you can only subtract from the specific number 25 once." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle\u2019s intended logic that only the first subtraction is from 25, and it explains that reasoning clearly and succinctly." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMReR4R9pEjYLmiN2MA\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the trick in the question's literal wording, though it doesn't acknowledge the alternative mathematical interpretation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly recognizes the riddle-like wording that after one subtraction, the number is no longer 25, so the reasoning is accurate and clear." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMSvBsKPNuzsVCe8MPy\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the semantic trick in the question, focusing on the literal interpretation that you can only subtract from the specific number 25 once." } }, "majority_correct": true, "avg_score": 4.75 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle\u2019s intended logic 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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMU9qgNreBQXcxAv6Ps\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is sound because it correctly interprets the question as a literal word puzzle rather than a purely mathematical problem." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "This is the classic riddle interpretation: you can subtract 5 from 25 only once because after the first subtraction you are subtracting from 20, so the reasoning is correct and clear." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMVJapEdYu8gp5mkbum\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clever and logically sound, as it correctly addresses the literal, semantic trick of the question rather than the more common mathematical interpretation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle\u2019s intended logic 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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMU9qgNreBQXcxAv6Ps\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is sound because it correctly interprets the question as a literal word puzzle rather than a purely mathematical problem." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "This is the classic riddle interpretation: you can subtract 5 from 25 only once because after the first subtraction you are subtracting from 20, so the reasoning is correct and clear." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMVJapEdYu8gp5mkbum\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is clever and logically sound, as it correctly addresses the literal, semantic trick of the question rather than the more common mathematical interpretation." } }, "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": "It correctly identifies the trick in the wording: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting from a different number." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMWKwwqEPj8kMwZ1MuD\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is logical and clearly explains the literal interpretation of the trick question, though it could be improved by also acknowledging the more conventional mathematical interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick that only the first subtraction is from 25 and clearly explains why subsequent subtractions are from different numbers." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMXN2jrZUgQgStJzEZo\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the question as a riddle and provides clear, logical reasoning for the 'trick' answer, though it doesn't acknowledge the alternative mathematical interpretation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick in the wording: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting from a different number." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMWKwwqEPj8kMwZ1MuD\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is logical and clearly explains the literal interpretation of the trick question, though it could be improved by also acknowledging the more conventional mathematical interpretation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick that only the first subtraction is from 25 and clearly explains why subsequent subtractions are from different numbers." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMXN2jrZUgQgStJzEZo\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the question as a riddle and provides clear, logical reasoning for the 'trick' answer, though it doesn't acknowledge the alternative mathematical interpretation." } }, "majority_correct": true, "avg_score": 4.5 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both the straightforward arithmetic interpretation (5 times) and the classic riddle interpretation, showing clear and nuanced reasoning." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMYMWm1fZQxhD8HZatP\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a perfect step-by-step breakdown for the mathematical answer and shows a superior level of understanding by also addressing the common riddle interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 4, "reasoning": "The response is mathematically correct in the ordinary interpretation and even notes the riddle interpretation, though the question is ambiguous so it is not a perfect reasoning answer." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMZSFYcu1MXXDAJxxE1\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a clear, step-by-step logical process for the mathematical answer and also demonstrates a deeper understanding by acknowledging and clarifying the common 'riddle' interpretation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both the straightforward arithmetic interpretation (5 times) and the classic riddle interpretation, showing clear and nuanced reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMYMWm1fZQxhD8HZatP\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response provides a perfect step-by-step breakdown for the mathematical answer and shows a superior level of understanding by also addressing the common riddle interpretation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 4, "reasoning": "The response is mathematically correct in the ordinary interpretation and even notes the riddle interpretation, though the question is ambiguous so it is not a perfect reasoning answer." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMZSFYcu1MXXDAJxxE1\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response provides a clear, step-by-step logical process for the mathematical answer and also demonstrates a deeper understanding by acknowledging and clarifying the common 'riddle' interpretation." } }, "majority_correct": true, "avg_score": 4.75 }, "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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMbNc5Fqt6JtpRUqgbU\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly interprets the question as a repeated subtraction problem and clearly shows the step-by-step process, though it doesn't acknowledge the common alternative 'trick' interpretation." } } }, { "sample_index": 1, "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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMcdv6jZD4kLqoXPWHF\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is very strong, showing the step-by-step calculation and correctly linking it to division, though it doesn't address the common trick-question 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": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMbNc5Fqt6JtpRUqgbU\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly interprets the question as a repeated subtraction problem and clearly shows the step-by-step process, though it doesn't acknowledge the common alternative 'trick' interpretation." }, "openai/gpt-5.4:s1": { "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:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMcdv6jZD4kLqoXPWHF\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is very strong, showing the step-by-step calculation and correctly linking it to division, though it doesn't address the common trick-question interpretation." } }, "majority_correct": false, "avg_score": 3.0 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle\u2019s intended logic that you can subtract 5 from 25 only once, and its explanation is clear and accurate." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMdkNaHQPePk9NKKucQ\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick nature of the question and explains the literal logic perfectly, but it could be improved by also acknowledging the alternative mathematical interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the intended riddle answer as once while also acknowledging the ordinary arithmetic interpretation, showing clear and sound reasoning." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMeaDf6XaAq9acYFuHK\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly identifies the ambiguity of the question and provides clear, well-explained answers for both the literal (riddle) and the mathematical interpretations." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle\u2019s intended logic that you can subtract 5 from 25 only once, and its explanation is clear and accurate." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMdkNaHQPePk9NKKucQ\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick nature of the question and explains the literal logic perfectly, but it could be improved by also acknowledging the alternative mathematical interpretation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the intended riddle answer as once while also acknowledging the ordinary arithmetic interpretation, showing clear and sound reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMeaDf6XaAq9acYFuHK\"}" }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly identifies the ambiguity of the question and provides clear, well-explained answers for both the literal (riddle) and the mathematical interpretations." } }, "majority_correct": true, "avg_score": 4.75 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 1, "reasoning": "The classic riddle answer is 'once' because after subtracting 5 from 25, you are no longer subtracting from 25, so the response gives the wrong conclusion despite mentioning the trick." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMfgtHMwYiQnCGFJzKy\"}" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is strong because it correctly identifies the ambiguous nature of the riddle, although it slightly confuses the justification for its chosen answer with the one for another valid interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies both the standard arithmetic interpretation and the classic riddle interpretation, explains each clearly, and reasonably notes the ambiguity in the original question." }, "anthropic/claude-sonnet-4-6": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLMgpwzBw7gjDg7K5Y2M\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly identifies the ambiguity in the question and clearly explains the two valid interpretations (mathematical and literal/riddle) with sound logic for each." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 1, "reasoning": "The classic riddle answer is 'once' because after subtracting 5 from 25, you are no longer subtracting from 25, so the response gives the wrong conclusion despite mentioning the trick." }, "anthropic/claude-sonnet-4-6:s0": { "error": "litellm.InternalServerError: AnthropicError - {\"type\":\"error\",\"error\":{\"type\":\"overloaded_error\",\"message\":\"Overloaded\"},\"request_id\":\"req_011CcLMfgtHMwYiQnCGFJzKy\"}" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is strong because it correctly identifies the ambiguous nature of the riddle, although it slightly confuses the justification for its chosen answer with the one for another valid interpretation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies both the standard arithmetic interpretation and the classic riddle interpretation, explains each clearly, and reasonably notes the ambiguity in the original question." }, "anthropic/claude-sonnet-4-6:s1": { "error": "litellm.InternalServerError: AnthropicException - {\"type\":\"error\",\"error\":{\"type\":\"api_error\",\"message\":\"Internal server error\"},\"request_id\":\"req_011CcLMgpwzBw7gjDg7K5Y2M\"}. Handle with `litellm.InternalServerError`." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly identifies the ambiguity in the question and clearly explains the two valid interpretations (mathematical and literal/riddle) with sound logic for each." } }, "majority_correct": true, "avg_score": 3.75 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } } } }