{ "run_id": "2026-04-29T06-04-27", "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 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": 4, "reasoning": "The response correctly identifies the transitive relationship and arrives at the right conclusion, with clear logical structure, though the explanation is brief and could elaborate more on why transitivity applies here." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the transitive property and uses a simple, clear diagram to illustrate the logical flow." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic and clearly explains the subset relationship to reach the valid conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it accurately translates the logical premises into the clear and correct analogy of sets and subsets." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the transitive relationship and arrives at the right conclusion, with clear logical structure, though the explanation is brief and could elaborate more on why transitivity applies here." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the transitive property and uses a simple, clear diagram to illustrate the logical flow." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic and clearly explains the subset relationship to reach the valid conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it accurately translates the logical premises into the clear and correct analogy of sets and subsets." } }, "majority_correct": true, "avg_score": 4.83 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive categorical reasoning: if bloops are a subset of razzies and razzies are a subset of lazzies, then bloops are a subset of lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic: bloops\u2192razzies\u2192lazzies, therefore bloops\u2192lazzies, 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, step-by-step explanation of the transitive logic involved." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive categorical reasoning: if all bloops are contained within razzies and all razzies within lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic: bloops\u2192razzies\u2192lazzies, therefore bloops\u2192lazzies, with a clear and concise explanation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response is correct and provides a clear, logical explanation that directly follows the transitive relationship presented in the question." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive categorical reasoning: if bloops are a subset of razzies and razzies are a subset of lazzies, then bloops are a subset of lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic: bloops\u2192razzies\u2192lazzies, therefore bloops\u2192lazzies, 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, step-by-step explanation of the transitive logic involved." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive categorical reasoning: if all bloops are contained within razzies and all razzies within lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic: bloops\u2192razzies\u2192lazzies, therefore bloops\u2192lazzies, with a clear and concise explanation." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response is correct and provides a clear, logical explanation that directly follows the transitive relationship presented in the question." } }, "majority_correct": true, "avg_score": 4.83 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive 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 through a clear syllogism, accurately concluding that all bloops are lazzies with well-structured step-by-step reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly answers the question with a clear, step-by-step logical breakdown and accurately identifies the argument as a syllogism." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive set inclusion to conclude that if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a transitive syllogism, uses set notation to clearly illustrate the logical relationship, and arrives at the correct conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the conclusion and explains its reasoning perfectly using multiple formalisms (syllogism, transitive relationship, and set notation)." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic through a clear syllogism, accurately concluding that all bloops are lazzies with well-structured step-by-step reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly answers the question with a clear, step-by-step logical breakdown and accurately identifies the argument as a syllogism." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive set inclusion to conclude that if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a transitive syllogism, uses set notation to clearly illustrate the logical relationship, and arrives at the correct conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the conclusion and explains its reasoning perfectly using multiple formalisms (syllogism, transitive relationship, and set notation)." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly 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 identifies both premises, draws the valid conclusion, and accurately references the transitive property with the symbolic representation A\u2192B\u2192C." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is perfectly correct, clearly breaks down the premises, and accurately identifies the underlying logical principle of transitivity." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive 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 to conclude that all bloops are lazzies, clearly laying out both premises and explicitly referencing the A\u2192B\u2192C logical chain." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly answers the question, breaks down the logic into clear premises and a conclusion, and accurately identifies the formal logical principle (transitivity) at play." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly identifies both premises, draws the valid conclusion, and accurately references the transitive property with the symbolic representation A\u2192B\u2192C." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is perfectly correct, clearly breaks down the premises, and accurately identifies the underlying logical principle of transitivity." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic to conclude that all bloops are lazzies, clearly laying out both premises and explicitly referencing the A\u2192B\u2192C logical chain." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly answers the question, breaks down the logic into clear premises and a conclusion, and accurately identifies the formal logical principle (transitivity) at play." } }, "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 because it properly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly laying out the syllogism step by step and arriving at the right conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless; it correctly identifies the conclusion, breaks down the premises, and accurately names the logical principle of transitivity." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitivity of 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 reasoning, clearly explains each logical step, and even provides a formal set theory notation to support the conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is flawless, correctly identifying the valid conclusion and explaining the underlying logical principle of transitivity with a formal set theory analogy." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is logically correct because it properly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly laying out the syllogism step by step and arriving at the right conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless; it correctly identifies the conclusion, breaks down the premises, and accurately names the logical principle of transitivity." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitivity of 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 reasoning, clearly explains each logical step, and even provides a formal set theory notation to support the conclusion." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is flawless, correctly identifying the valid conclusion and explaining the underlying logical principle of transitivity with a formal set theory analogy." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive class inclusion, with a helpful analogy that matches the structure of the argument." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each premise, uses an intuitive real-world analogy, and arrives at the correct conclusion through sound syllogistic reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, breaking down the syllogism into clear steps and using a perfect analogy to make the abstract logic concrete and understandable." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each premise, and traces the logical chain from bloop to razzy to lazzy in a well-structured, easy-to-follow manner." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly breaks down the logic into its premises and conclusion, using a clear, step-by-step approach that makes the valid inference easy to follow." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive class inclusion, with a helpful analogy that matches the structure of the argument." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each premise, uses an intuitive real-world analogy, and arrives at the correct conclusion through sound syllogistic reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, breaking down the syllogism into clear steps and using a perfect analogy to make the abstract logic concrete and understandable." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each premise, and traces the logical chain from bloop to razzy to lazzy in a well-structured, easy-to-follow manner." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response perfectly breaks down the logic into its premises and conclusion, using a clear, step-by-step approach that makes the valid inference 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 is correct and clearly applies transitive class inclusion: 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, clearly explains the subset relationships, and arrives at the correct conclusion with well-structured reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, correctly breaking down each premise into a concept of set containment and then logically linking them to reach the valid conclusion." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive class inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship between the three groups and provides a clear, step-by-step logical explanation that accurately demonstrates why all bloops must be lazzies." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear and accurate step-by-step explanation of the transitive logic required to reach the correct conclusion." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive class inclusion: 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, clearly explains the subset relationships, and arrives at the correct conclusion with well-structured reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, correctly breaking down each premise into a concept of set containment and then logically linking them to reach the valid conclusion." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive class inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship between the three groups and provides a clear, step-by-step logical explanation that accurately demonstrates why all bloops must be lazzies." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear and accurate step-by-step explanation of the transitive logic required to reach the correct conclusion." } }, "majority_correct": true, "avg_score": 5.0 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "math-1": { "prompt": "A bat and a ball cost $1.10 together. The bat costs $1 more than the ball. How much does the ball cost?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and verifies the answer by checking that a $0.05 ball and a $1.05 bat differ by $1.00 and sum to $1.10." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The answer is correct and the verification confirms it, but the reasoning doesn't explicitly show the algebraic steps (e.g., setting up equations) that demonstrate how the answer was derived, just presenting the answer with a check." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response provides the correct answer and a clear verification, but it does not show the initial steps of how the answer was derived." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly verifies that a 5-cent ball makes the bat $1.05, which satisfies both the total cost and the $1 difference." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The answer is correct at $0.05, and the verification check confirms the logic clearly, though the reasoning could have shown the algebraic derivation (x + (x+1) = 1.10) rather than just verifying the answer." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is very good because it clearly verifies that the answer satisfies both conditions of the problem, although it doesn't show the algebraic steps used to derive the solution." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and verifies the answer by checking that a $0.05 ball and a $1.05 bat differ by $1.00 and sum to $1.10." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The answer is correct and the verification confirms it, but the reasoning doesn't explicitly show the algebraic steps (e.g., setting up equations) that demonstrate how the answer was derived, just presenting the answer with a check." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response provides the correct answer and a clear verification, but it does not show the initial steps of how the answer was derived." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly verifies that a 5-cent ball makes the bat $1.05, which satisfies both the total cost and the $1 difference." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The answer is correct at $0.05, and the verification check confirms the logic clearly, though the reasoning could have shown the algebraic derivation (x + (x+1) = 1.10) rather than just verifying the answer." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is very good because it clearly verifies that the answer satisfies both conditions of the problem, although it doesn't show the algebraic steps used to derive the solution." } }, "majority_correct": true, "avg_score": 4.33 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations from the word problem and solves them accurately to find 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 and logical step-by-step reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into an algebraic equation and shows each logical step of the solution clearly." } } }, { "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 and solves the algebraic equations, arriving at the right answer of $0.05 for the ball, with clear step-by-step reasoning that avoids the common intuitive error of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into an algebraic equation and shows clear, logical steps to arrive at the correct solution." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations from the word problem and solves them accurately to find 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 and logical step-by-step reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into an algebraic equation and shows each logical step of the solution clearly." }, "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 and solves the algebraic equations, arriving at the right answer of $0.05 for the ball, with clear step-by-step reasoning that avoids the common intuitive error of answering $0.10." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into an algebraic equation and shows clear, logical steps to arrive at the correct solution." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is fully correct, sets up the algebra properly, solves it accurately, and verifies the result clearly." }, "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 answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly uses algebra to find the answer, verifies both conditions of the problem, and explains the common intuitive error." } } }, { "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 addresses the common incorrect intuition." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies the solution, and even addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equation, solves it step-by-step, verifies the result, and explains the common intuitive error." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is fully correct, sets up the algebra properly, solves it accurately, and verifies the result clearly." }, "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, verifies the answer, and even addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly uses algebra to find the answer, verifies both conditions of the problem, and explains the common intuitive error." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the equation, verifies the result, and clearly addresses the common incorrect intuition." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies the solution, and even addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equation, solves it step-by-step, verifies the result, and explains the common intuitive error." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the right equations, solves them accurately to get 5 cents, and verifies the result clearly." }, "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 proactively addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a flawless, step-by-step algebraic solution, verifies the result, and proactively addresses the common intuitive mistake." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the equations, verifies the result, and clearly addresses the common intuitive mistake." }, "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 proactively addresses the common cognitive trap of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a flawless, step-by-step algebraic solution and demonstrates a superior understanding by also explaining the common intuitive error." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the right equations, solves them accurately to get 5 cents, and verifies the result clearly." }, "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 proactively addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response provides a flawless, step-by-step algebraic solution, verifies the result, and proactively addresses the common intuitive mistake." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the equations, verifies the result, and clearly addresses the common intuitive mistake." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the system of equations, arrives at the right answer of $0.05, verifies the solution, and proactively addresses the common cognitive trap of answering $0.10." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response provides a flawless, step-by-step algebraic solution and demonstrates a superior understanding by also explaining the common intuitive error." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear, complete algebraic reasoning with a correct check, so the solution quality is excellent." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves them through substitution to arrive at the correct answer of $0.05, and verifies the solution by checking both conditions of the problem." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct, sets up the equations properly, solves them accurately, and verifies the result with a correct check." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves algebraically to find the ball costs $0.05, and verifies the answer satisfies both original conditions." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly translates the problem into algebraic equations and solves them with clear, logical steps, 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, complete algebraic reasoning with a correct check, so the solution quality is excellent." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves them through substitution to arrive at the correct answer of $0.05, and verifies the solution by checking both conditions of the problem." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct, sets up the equations properly, solves them accurately, and verifies the result with a correct check." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves algebraically to find the ball costs $0.05, and verifies the answer satisfies both original conditions." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly translates the problem into algebraic equations and solves them with clear, logical steps, including a final check to verify the 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 response is correct and uses clear algebraic reasoning with a verification step, fully justifying that the ball costs 5 cents." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves algebraically for the ball's cost of $0.05, verifies the answer, and even addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear and logical step-by-step algebraic solution, verifies the result, and addresses the common misconception associated with the problem." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear, valid algebra with a proper verification step, so the reasoning is excellent." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using clear algebraic reasoning, avoids the common intuitive error of answering $0.10, shows all steps explicitly, and verifies the answer." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly sets up the problem with algebra, shows a clear step-by-step solution, and verifies the final answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear algebraic reasoning with a verification step, fully justifying that the ball costs 5 cents." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves algebraically for the ball's cost of $0.05, verifies the answer, and even addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear and logical step-by-step algebraic solution, verifies the result, and addresses the common misconception associated with the problem." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear, valid algebra with a proper verification step, so the reasoning is excellent." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using clear algebraic reasoning, avoids the common intuitive error of answering $0.10, shows all steps explicitly, and verifies the answer." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly sets up the problem with algebra, shows a clear step-by-step solution, and verifies the final answer." } }, "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 sets up the equations, solves them step by step without error, and verifies the result that the ball costs $0.05." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of equations, solves them using substitution with clear step-by-step work, arrives at the correct answer of $0.05, and verifies the solution by checking both conditions." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into a system of algebraic equations, solves it methodically, and verifies the result, demonstrating a complete and flawless logical process." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them step by step without error, and verifies the result, so both the answer and reasoning are excellent." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves them step-by-step using substitution, arrives at the correct answer of $0.05, and verifies the solution by checking both original conditions." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response demonstrates excellent reasoning by methodically setting up and solving the algebraic equations derived from the problem's constraints and verifying the final answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them step by step without error, and verifies the result that the ball costs $0.05." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of equations, solves them using substitution with clear step-by-step work, arrives at the correct answer of $0.05, and verifies the solution by checking both conditions." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into a system of algebraic equations, solves it methodically, and verifies the result, demonstrating a complete and flawless logical process." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them step by step without error, and verifies the result, so both the answer and reasoning are excellent." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves them step-by-step using substitution, arrives at the correct answer of $0.05, and verifies the solution by checking both original conditions." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response demonstrates excellent reasoning by methodically setting up and solving the algebraic equations derived from the problem's constraints and verifying the final 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, so both the conclusion and reasoning are fully correct." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem, showing the resulting direction after each individual turn in a clear, step-by-step process." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final direction of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly processes each turn in sequence, showing a clear, step-by-step logical progression to the correct final answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, so both the conclusion and reasoning are fully correct." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem, showing the resulting direction after each individual turn in a clear, step-by-step process." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final direction of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly processes each turn in sequence, showing a clear, step-by-step logical progression to the correct final answer." } }, "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 tracks each turn from north to east to south to east, so both the answer and the reasoning are accurate and clear." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each directional change in a clear, step-by-step process that is logical and easy to follow." } } }, { "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, so both the answer and the reasoning are accurate and clear." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of east with clear and concise reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly and accurately breaks down each step of the process, showing exactly how the final direction was determined." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, so both the answer and the reasoning are accurate and clear." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each directional change in a clear, step-by-step process that is logical and easy to follow." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, so both the answer and the reasoning are accurate and clear." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of east with clear and concise reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly and accurately breaks down each step of the process, showing exactly how the final direction was determined." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from North to East to South to East and reaches the right final direction with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East, with clear and accurate reasoning throughout." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response demonstrates perfect reasoning by breaking the problem down into a clear, sequential, and accurate step-by-step process." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the turns from north to east to south to east, and the reasoning is clear, complete, and error-free." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces each turn step by step, arriving at the correct final direction of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly determines the final direction by breaking the problem down into a clear, logical, and perfectly executed step-by-step process." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from North to East to South to East and reaches the right final direction with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East, with clear and accurate reasoning throughout." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response demonstrates perfect reasoning by breaking the problem down into a clear, sequential, and accurate step-by-step process." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the turns from north to east to south to east, and the reasoning is clear, complete, and error-free." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly traces each turn step by step, arriving at the correct final direction of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly determines the final direction by breaking the problem down into a clear, logical, and perfectly executed step-by-step process." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the correct final answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly breaks down the problem into a clear, sequential, and accurate list of steps, making the logic flawless and easy to follow." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The step-by-step directional updates are all correct, leading from North to East to South to East with clear and accurate reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the correct final answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response perfectly breaks down the problem into a clear, sequential, and accurate list of steps, making the logic flawless and easy to follow." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The step-by-step directional updates are all correct, leading from North to East to South to East with clear and accurate reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the turns from North to East to South to East and presents the reasoning clearly and accurately." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and logical reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into a clear, step-by-step process, with each turn's result being accurate, leading to the correct final 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": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into a clear, sequential, and easy-to-follow list of steps that logically lead to the correct answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the turns from North to East to South to East and presents the reasoning clearly and accurately." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and logical reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into a clear, step-by-step process, with each turn's result being accurate, leading to the correct final 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": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into a clear, sequential, and easy-to-follow list of steps that logically lead to 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 response correctly tracks the turns from North to East to South to East, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response methodically breaks down the problem into sequential steps, correctly deducing the new direction after each turn." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and fully accurate reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final direction of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly breaks down the problem into a clear, sequential, and logically flawless series of steps to arrive at the correct conclusion." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the turns from North to East to South to East, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response methodically breaks down the problem into sequential steps, correctly deducing the new direction after each turn." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and fully accurate reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final direction of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response perfectly breaks down the problem into a clear, sequential, and logically flawless series of steps to arrive at the correct conclusion." } }, "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, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into sequential steps, accurately tracking the direction after each turn to arrive at the correct final 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 clearly explains the reasoning step by step." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, breaking the problem down into a perfectly logical and easy-to-follow sequence of steps that leads directly to 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 to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into sequential steps, accurately tracking the direction after each turn to arrive at the correct final 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 clearly explains the reasoning step by step." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, breaking the problem down into a perfectly logical and easy-to-follow sequence of steps that leads directly to the correct answer." } }, "majority_correct": true, "avg_score": 5.0 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "causality-1": { "prompt": "A man pushes his car to a hotel and loses his fortune. What happened?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic riddle\u2019s Monopoly interpretation and clearly explains how pushing a car to a hotel leads to losing money." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly scenario where landing on a hotel-owned property causes significant financial loss, though the explanation could be slightly more precise about landing on someone else's hotel." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel leads to losing his fortune." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and provides a clear, accurate explanation of the game mechanics involved." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the lateral thinking nature of the puzzle and provides the classic, logical solution that fits all the clues." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic riddle\u2019s Monopoly interpretation and clearly explains how pushing a car to a hotel leads to losing money." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly scenario where landing on a hotel-owned property causes significant financial loss, though the explanation could be slightly more precise about landing on someone else's hotel." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel leads to losing his fortune." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and provides a clear, accurate explanation of the game mechanics involved." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the lateral thinking nature of the puzzle and provides the classic, logical solution that fits all the clues." } }, "majority_correct": true, "avg_score": 4.6 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic riddle answer and clearly explains how pushing the car token to a hotel in Monopoly causes him to lose his fortune." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly scenario and clearly explains both the car token and hotel mechanics that make the riddle work." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly solves the riddle and perfectly explains the wordplay, mapping each phrase of the riddle to a specific mechanic within the game of Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel led to losing money, so the reasoning is accurate and complete." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly scenario and clearly explains all elements: the car token, landing on a hotel space, and paying rent causing financial loss." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer to the riddle and provides a concise, perfectly logical explanation of how the game's mechanics match the riddle's details." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic riddle answer and clearly explains how pushing the car token to a hotel in Monopoly causes him to lose his fortune." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly scenario and clearly explains both the car token and hotel mechanics that make the riddle work." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly solves the riddle and perfectly explains the wordplay, mapping each phrase of the riddle to a specific mechanic within the game of Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly explains how pushing the car token to a hotel led to losing money, so the reasoning is accurate and complete." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly scenario and clearly explains all elements: the car token, landing on a hotel space, and paying rent causing financial loss." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer to the riddle and provides a concise, perfectly logical explanation of how the game's mechanics match the riddle's details." } }, "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 intended Monopoly riddle solution and clearly explains how pushing the car, reaching the hotel, and losing his fortune all fit together." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a Monopoly riddle and clearly explains all three key elements: the car token, landing on a hotel, and losing money through rent payment." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how the car, hotel, and loss of fortune fit the scenario." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly answer and clearly explains each element of the riddle with accurate reasoning about the car token, pushing along the board, landing on a hotel property, and losing fortune through bankruptcy." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer and provides excellent, step-by-step reasoning that clearly maps each component of the riddle to the game of Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It identifies the intended Monopoly riddle solution and clearly explains how pushing the car, reaching the hotel, and losing his fortune all fit together." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a Monopoly riddle and clearly explains all three key elements: the car token, landing on a hotel, and losing money through rent payment." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how the car, hotel, and loss of fortune fit the scenario." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly answer and clearly explains each element of the riddle with accurate reasoning about the car token, pushing along the board, landing on a hotel property, and losing fortune through bankruptcy." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer and provides excellent, step-by-step reasoning that clearly maps each component of the riddle to the game of Monopoly." } }, "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 his fortune." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies this as a Monopoly puzzle and accurately explains all key elements (car token, hotel, losing fortune by paying rent), though it could be slightly more concise." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It gives the standard correct riddle answer and clearly maps each clue\u2014car, hotel, and losing his fortune\u2014to Monopoly in a logically complete way." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle and clearly explains all three key elements: the car token, the hotel property, and losing fortune by paying rent." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic solution and perfectly breaks down each element of the riddle, mapping them clearly and logically to the context of the game 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 his fortune." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies this as a Monopoly puzzle and accurately explains all key elements (car token, hotel, losing fortune by paying rent), though it could be slightly more concise." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It gives the standard correct riddle answer and clearly maps each clue\u2014car, hotel, and losing his fortune\u2014to Monopoly in a logically complete way." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle and clearly explains all three key elements: the car token, the hotel property, and losing fortune by paying rent." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic solution and perfectly breaks down each element of the riddle, mapping them clearly and logically to the context of the game Monopoly." } }, "majority_correct": true, "avg_score": 4.8 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car to a hotel leads to losing a fortune in the game." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains the key elements clearly, though the final question is unnecessary and slightly reduces the quality of an otherwise well-structured explanation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle and provides a perfect, step-by-step explanation of how each element of the riddle maps to the game of Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car, reaching a hotel, and losing his fortune all fit the board-game context." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly answer and clearly explains all the key elements: the car piece, the hotel, and losing fortune through rent payment, demonstrating excellent reasoning about the wordplay involved." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer to the riddle and provides a perfectly clear, well-structured explanation of how each element of the riddle maps 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 to a hotel leads to losing a fortune in the game." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains the key elements clearly, though the final question is unnecessary and slightly reduces the quality of an otherwise well-structured explanation." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle and provides a perfect, step-by-step explanation of how each element of the riddle maps to the game of Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car, reaching a hotel, and losing his fortune all fit the board-game context." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly answer and clearly explains all the key elements: the car piece, the hotel, and losing fortune through rent payment, demonstrating excellent reasoning about the wordplay involved." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer to the riddle and provides a perfectly clear, well-structured explanation of how each element of the riddle maps to the game of Monopoly." } }, "majority_correct": true, "avg_score": 4.83 }, "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 the car, hotel, and lost fortune all refer to game elements rather than real life." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle, accurately explaining that the car is a game piece, the hotel is a game piece, and the fortune is game money, with a clear step-by-step breakdown and specific examples." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly context and uses a clear, step-by-step structure to explain how each element of the riddle fits into the game's scenario." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car to a hotel causes him to lose his fortune." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains all key elements (car token, pushing around the board, hotel rent), though the explanation is slightly verbose for what is a straightforward riddle answer." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly and systematically breaks down each misleading phrase in the riddle and explains its true meaning in the context of the solution." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how the car, hotel, and lost fortune all refer to game elements rather than real life." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle, accurately explaining that the car is a game piece, the hotel is a game piece, and the fortune is game money, with a clear step-by-step breakdown and specific examples." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly context and uses a clear, step-by-step structure to explain how each element of the riddle fits into the game's scenario." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car to a hotel causes him to lose his fortune." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains all key elements (car token, pushing around the board, hotel rent), though the explanation is slightly verbose for what is a straightforward riddle answer." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly and systematically breaks down each misleading phrase in the riddle and explains its true meaning in the context of the solution." } }, "majority_correct": true, "avg_score": 4.67 }, "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 where the man lands on a hotel after pushing his car token and loses his fortune, so the casino explanation is incorrect." }, "anthropic/claude-sonnet-4-6": { "correct": false, "score": 2, "reasoning": "The correct answer is that this is a Monopoly scenario where the man landed on a hotel on someone else's property and had to pay rent, losing his fortune; the response incorrectly interpreted it as a real-life gambling situation." }, "gemini/gemini-2.5-pro": { "correct": false, "score": 3, "reasoning": "This is a plausible, literal interpretation, but it misses the classic answer to the riddle: the man was playing Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "This is the classic Monopoly riddle, and the response correctly explains that pushing the car token to a hotel caused the player to lose his in-game fortune." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation and provides a clear, accurate breakdown of why each element of the riddle maps to the board game scenario." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly solves the lateral thinking puzzle and its explanation clearly connects every element of the riddle to the game of Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 1, "reasoning": "This is the classic Monopoly riddle where the man lands on a hotel after pushing his car token and loses his fortune, so the casino explanation is incorrect." }, "anthropic/claude-sonnet-4-6:s0": { "correct": false, "score": 2, "reasoning": "The correct answer is that this is a Monopoly scenario where the man landed on a hotel on someone else's property and had to pay rent, losing his fortune; the response incorrectly interpreted it as a real-life gambling situation." }, "gemini/gemini-2.5-pro:s0": { "correct": false, "score": 3, "reasoning": "This is a plausible, literal interpretation, but it misses the classic answer to the riddle: the man was playing Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "This is the classic Monopoly riddle, and the response correctly explains that pushing the car token to a hotel caused the player to lose his in-game fortune." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation and provides a clear, accurate breakdown of why each element of the riddle maps to the board game scenario." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly solves the lateral thinking puzzle and its explanation clearly connects every element of the riddle to the game of Monopoly." } }, "majority_correct": false, "avg_score": 3.5 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "code-1": { "prompt": "What does this function return for input 5? def f(n): return n if n <= 1 else f(n-1) + f(n-2)", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the function as the Fibonacci recurrence with the given base cases and accurately computes f(5) = 5 step by step." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci recursion, accurately traces through each step from base cases to f(5), and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function as a Fibonacci sequence and shows a clear bottom-up calculation, though it doesn't trace the top-down recursive calls the code actually makes." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies the recursive Fibonacci definition with appropriate base cases to show that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function as computing Fibonacci numbers and accurately traces through the recursive calls to arrive at f(5) = 5, though the ordering of base cases (showing f(1) before f(0)) is slightly non-sequential." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function as the Fibonacci sequence and lists the correct values, but it does not explicitly show the recursive additions for each step." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the function as the Fibonacci recurrence with the given base cases and accurately computes f(5) = 5 step by step." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci recursion, accurately traces through each step from base cases to f(5), and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function as a Fibonacci sequence and shows a clear bottom-up calculation, though it doesn't trace the top-down recursive calls the code actually makes." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies the recursive Fibonacci definition with appropriate base cases to show that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function as computing Fibonacci numbers and accurately traces through the recursive calls to arrive at f(5) = 5, though the ordering of base cases (showing f(1) before f(0)) is slightly non-sequential." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function as the Fibonacci sequence and lists the correct values, but it does not explicitly show the recursive additions for each step." } }, "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 is correct and clearly applies the recursive Fibonacci definition with the proper base cases to compute f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci recursion, accurately traces through all intermediate values, and arrives at the correct answer of 5 for f(5)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function as the Fibonacci sequence and shows the correct values sequentially, though it omits the explicit addition for each step (e.g., f(3) = f(2) + f(1))." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci recurrence, computes the needed base cases and intermediate values accurately, and arrives at the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci structure, properly applies the base cases f(0)=0 and f(1)=1, builds up the computation step by step in a clear and organized manner, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and the steps are clear, but the explanation's flow is slightly disjointed as it shows a top-down decomposition followed by a separate bottom-up calculation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies the recursive Fibonacci definition with the proper base cases to compute f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci recursion, accurately traces through all intermediate values, and arrives at the correct answer of 5 for f(5)." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function as the Fibonacci sequence and shows the correct values sequentially, though it omits the explicit addition for each step (e.g., f(3) = f(2) + f(1))." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci recurrence, computes the needed base cases and intermediate values accurately, and arrives at the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci structure, properly applies the base cases f(0)=0 and f(1)=1, builds up the computation step by step in a clear and organized manner, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and the steps are clear, but the explanation's flow is slightly disjointed as it shows a top-down decomposition followed by a separate bottom-up calculation." } }, "majority_correct": true, "avg_score": 4.67 }, "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, traces the recursive calls accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci pattern, traces all recursive calls accurately, and clearly presents the step-by-step reasoning in an organized table format, arriving at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, evaluates the recursive calls accurately, and arrives at the correct result f(5) = 5 with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces all recursive calls accurately, builds back up with a clear table, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly calculates the answer with a clear, step-by-step breakdown, but its linear trace is a simplification of the true tree-like nature of the 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 concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci pattern, traces all recursive calls accurately, and clearly presents the step-by-step reasoning in an organized table format, arriving at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, evaluates the recursive calls accurately, and arrives at the correct result f(5) = 5 with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces all recursive calls accurately, builds back up with a clear table, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly calculates the answer with a clear, step-by-step breakdown, but its linear trace is a simplification of the true tree-like nature of the recursive calls." } }, "majority_correct": true, "avg_score": 4.8 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the function as Fibonacci, traces the recursive calls accurately, and computes f(5) = 5 without errors." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as a Fibonacci sequence, systematically traces all recursive calls bottom-up, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function and provides a clear, logical trace, though it simplifies the full recursive execution by not showing redundant calls." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the recursive function as Fibonacci, traces the needed base cases and recursive expansions, and arrives at the correct output f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, systematically traces all recursive calls from base cases upward, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correct, logically showing how the result is built from the base cases, though the 'trace' is a dependency list rather than a literal execution path." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the function as Fibonacci, traces the recursive calls accurately, and computes f(5) = 5 without errors." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as a Fibonacci sequence, systematically traces all recursive calls bottom-up, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function and provides a clear, logical trace, though it simplifies the full recursive execution by not showing redundant calls." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the recursive function as Fibonacci, traces the needed base cases and recursive expansions, and arrives at the correct output f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, systematically traces all recursive calls from base cases upward, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correct, logically showing how the result is built from the base cases, though the 'trace' is a dependency list rather than a literal execution path." } }, "majority_correct": true, "avg_score": 4.67 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, traces the needed base cases and recursive calls accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls with proper base cases (f(0)=0, f(1)=1), and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and concludes with the correct value f(5)=5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive Fibonacci function step by step, arrives at the right answer of 5, and provides helpful context about the Fibonacci sequence." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The logic is sound and the answer is correct, but the step-by-step trace is presented in a slightly disorganized and unconventional way." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, traces the needed base cases and recursive calls accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls with proper base cases (f(0)=0, f(1)=1), and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and concludes with the correct value f(5)=5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive Fibonacci function step by step, arrives at the right answer of 5, and provides helpful context about the Fibonacci sequence." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The logic is sound and the answer is correct, but the step-by-step trace is presented in a slightly disorganized and unconventional way." } }, "majority_correct": true, "avg_score": 4.8 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly traces the recursive Fibonacci computation for f(5) to arrive at 5 with accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive execution step by step, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clear, correct, and follows a logical step-by-step process, but it simplifies the execution trace by not showing the redundant recalculations the actual code performs." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and concludes with the correct return value f(5)=5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls step by step, properly handles the base cases, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function's purpose, provides a flawless step-by-step trace of the recursive calls, and clearly shows how the base cases are used to build up to the final, correct result." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly traces the recursive Fibonacci computation for f(5) to arrive at 5 with accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive execution step by step, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is clear, correct, and follows a logical step-by-step process, but it simplifies the execution trace by not showing the redundant recalculations the actual code performs." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and concludes with the correct return value f(5)=5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls step by step, properly handles the base cases, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function's purpose, provides a flawless step-by-step trace of the recursive calls, and clearly shows how the base cases are used to build up to the final, correct result." } }, "majority_correct": true, "avg_score": 4.83 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, accurately traces the base cases and recursive expansion for f(5), and arrives at the correct result of 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls, substitutes results back in the correct order, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function's purpose, provides a clear, step-by-step trace of the recursive calls, and accurately calculates the final result by substituting the base cases back up the call stack." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the base cases and recursive expansions accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive execution step by step, identifies the base cases, substitutes results back up the call chain, recognizes it as the Fibonacci sequence, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the base cases and recursive steps, accurately traces the function calls, and synthesizes the results in a clear, step-by-step manner to arrive at the correct answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, accurately traces the base cases and recursive expansion for f(5), and arrives at the correct result of 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls, substitutes results back in the correct order, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function's purpose, provides a clear, step-by-step trace of the recursive calls, and accurately calculates the final result by substituting the base cases back up the call stack." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the base cases and recursive expansions accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive execution step by step, identifies the base cases, substitutes results back up the call chain, recognizes it as the Fibonacci sequence, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the base cases and recursive steps, accurately traces the function calls, and synthesizes the results in a clear, step-by-step manner to arrive at the correct answer." } }, "majority_correct": true, "avg_score": 5.0 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "ambiguity-1": { "prompt": "The trophy doesn't fit in the suitcase because it's too big. What is too big?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun because the trophy being too big explains why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the subject that is too big, as the context makes clear the trophy cannot fit into the suitcase due to its size." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response is correct and unambiguous, but it does not explain the simple real-world logic used to resolve the pronoun's antecedent." } } }, { "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 standard commonsense interpretation of why the trophy does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'too big' with clear explanation, though the reasoning could have briefly addressed why the ambiguity resolves this way (the suitcase being too big would mean it couldn't contain things, which contradicts the scenario)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the antecedent of the pronoun and demonstrates a clear understanding by rephrasing the sentence to remove the ambiguity." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun because the trophy being too big explains why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the subject that is too big, as the context makes clear the trophy cannot fit into the suitcase due to its size." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response is correct and unambiguous, but it does not explain the simple real-world logic used to resolve the pronoun's antecedent." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy,' which is the standard commonsense interpretation of why the trophy does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'too big' with clear explanation, though the reasoning could have briefly addressed why the ambiguity resolves this way (the suitcase being too big would mean it couldn't contain things, which contradicts the scenario)." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the antecedent of the pronoun and demonstrates a clear understanding by rephrasing the sentence to remove the ambiguity." } }, "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 is correct because in this sentence 'it's too big' most naturally refers to the trophy, which is the item failing to fit into the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big, as the pronoun 'it' refers to the trophy being unable to fit into the suitcase." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by applying the common-sense constraint that for one object to not fit inside another, the first object must be too large for the second." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because in the sentence, 'it's too big' most naturally refers to the trophy, which is the item that would fail to fit inside the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, using proper pronoun resolution since 'it' refers to the trophy that cannot fit in the suitcase." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct because in this sentence 'it's too big' most naturally refers to the trophy, which is the item failing to fit into the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big, as the pronoun 'it' refers to the trophy being unable to fit into the suitcase." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by applying the common-sense constraint that for one object to not fit inside another, the first object must be too large for the second." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct because in the sentence, 'it's too big' most naturally refers to the trophy, which is the item that would fail to fit inside the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, using proper pronoun resolution since 'it' refers to the trophy that cannot fit in the suitcase." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 4.6 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by using commonsense causal reasoning: the trophy being too big explains why it does not fit in the suitcase, while the suitcase being too big would not." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, and uses clear logical elimination to explain why the suitcase being too big would contradict the premise, making the reasoning sound and well-structured." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the ambiguity, considers both possibilities, and uses a flawless process of elimination based on real-world logic 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 by applying the causal logic of the sentence and clearly explains why 'too big' must refer to the trophy rather than the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical reasoning by considering both possible referents and eliminating the suitcase option since a bigger suitcase would help rather than hinder fitting the trophy inside." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly identifies the ambiguous pronoun, considers both possible antecedents, and uses logical deduction to correctly resolve the ambiguity." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by using commonsense causal reasoning: the trophy being too big explains why it does not fit in the suitcase, while the suitcase being too big would not." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, and uses clear logical elimination to explain why the suitcase being too big would contradict the premise, making the reasoning sound and well-structured." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the ambiguity, considers both possibilities, and uses a flawless process of elimination based on real-world logic to arrive at the correct conclusion." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by applying the causal logic of the sentence and clearly explains why 'too big' must refer to the trophy rather than the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical reasoning by considering both possible referents and eliminating the suitcase option since a bigger suitcase would help rather than hinder fitting the trophy inside." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly identifies the ambiguous pronoun, considers both possible antecedents, and uses logical deduction to correctly resolve the ambiguity." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy and clearly explains that the trophy is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'it' and provides a clear, logical explanation, though the reasoning could be more concise." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response is correct and clearly explains the logic, but it could be improved by explicitly explaining why the alternative (the suitcase) is incorrect." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy' and matches the causal meaning that the trophy is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'it' with clear, concise reasoning, though it could briefly explain why the suitcase is ruled out as the referent." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent of the pronoun 'it' but does not explain the logical reasoning used to dismiss the alternative interpretation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy and clearly explains that the trophy is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'it' and provides a clear, logical explanation, though the reasoning could be more concise." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response is correct and clearly explains the logic, but it could be improved by explicitly explaining why the alternative (the suitcase) is incorrect." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy' and matches the causal meaning that the trophy is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'it' with clear, concise reasoning, though it could briefly explain why the suitcase is ruled out as the referent." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent of the pronoun 'it' but does not explain the logical reasoning used to dismiss the alternative interpretation." } }, "majority_correct": true, "avg_score": 4.33 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to 'the trophy' and gives a clear causal explanation consistent with the sentence." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides a reasonable explanation, though the claim that 'trophy' is the subject making 'it' refer to the trophy is a simplification of pronoun resolution rather than a rigorous analysis." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent of the pronoun and provides a logical explanation, though it could be more thorough by explicitly refuting the illogical alternative (the suitcase being too big)." } } }, { "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 gives a clear, accurate explanation of why the trophy does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The answer correctly identifies the trophy as too big and provides clear logical reasoning, though the grammatical explanation slightly oversimplifies pronoun resolution which relies on contextual inference rather than strict grammatical rules." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the pronoun's antecedent and explains the logical context of the sentence to fully justify the answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to 'the trophy' and gives a clear causal explanation consistent with the sentence." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides a reasonable explanation, though the claim that 'trophy' is the subject making 'it' refer to the trophy is a simplification of pronoun resolution rather than a rigorous analysis." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent of the pronoun and provides a logical explanation, though it could be more thorough by explicitly refuting the illogical alternative (the suitcase being too big)." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to 'the trophy' and gives a clear, accurate explanation of why the trophy does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The answer correctly identifies the trophy as too big and provides clear logical reasoning, though the grammatical explanation slightly oversimplifies pronoun resolution which relies on contextual inference rather than strict grammatical rules." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the pronoun's antecedent and explains the logical context of the sentence to fully justify the answer." } }, "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, logically sound support by contrasting it with the suitcase being too big." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, and provides clear logical reasoning by testing both interpretations and confirming that only the trophy being too big explains why it doesn't fit in the suitcase." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning quality is excellent as it correctly identifies the ambiguous pronoun and methodically tests the logical validity of both possible antecedents." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun to 'trophy' and gives clear, logically sound reasoning showing why 'too big' must describe the item that fails to fit rather than the container." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical step-by-step reasoning that explains both the pronoun reference and the physical logic of why the trophy must be the oversized object." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the pronoun's ambiguity and resolves it by applying flawless real-world logic, even considering and refuting the alternative interpretation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun to 'the trophy' and gives clear, logically sound support by contrasting it with the suitcase being too big." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, and provides clear logical reasoning by testing both interpretations and confirming that only the trophy being too big explains why it doesn't fit in the suitcase." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning quality is excellent as it correctly identifies the ambiguous pronoun and methodically tests the logical validity of both possible antecedents." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun to 'trophy' and gives clear, logically sound reasoning showing why 'too big' must describe the item that fails to fit rather than the container." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical step-by-step reasoning that explains both the pronoun reference and the physical logic of why the trophy must be the oversized object." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the pronoun's ambiguity and resolves it by applying flawless real-world logic, even considering and refuting the alternative interpretation." } }, "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 resolves the pronoun 'it's' to the trophy, since the trophy being too big explains why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it' refers to the trophy, as the trophy is the subject that cannot fit in the suitcase due to its size, demonstrating clear pronoun resolution reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly applies common-sense reasoning about physical objects to resolve the ambiguous pronoun 'it'." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to 'the trophy,' which is the object that is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'it' through logical reasoning, since the trophy being too big is what prevents it from fitting in the suitcase, though the explanation could be more explicit about the disambiguation process." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to the trophy, since the trophy being too big explains why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it' refers to the trophy, as the trophy is the subject that cannot fit in the suitcase due to its size, demonstrating clear pronoun resolution reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly applies common-sense reasoning about physical objects to resolve the ambiguous pronoun 'it'." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to 'the trophy,' which is the object that is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'it' through logical reasoning, since the trophy being too big is what prevents it from fitting in the suitcase, though the explanation could be more explicit about the disambiguation process." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 4.6 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "common-sense-1": { "prompt": "How many times can you subtract 5 from 25?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly recognizes the riddle\u2019s wording: you can subtract 5 from 25 only once, after which the number is no longer 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question and provides a clear, logical explanation for why the answer is 'once' rather than the mathematical answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response provides a clever and logical answer by interpreting the question literally, though it ignores the more common mathematical interpretation of repeated subtraction." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "This is the standard riddle interpretation and the response correctly explains that only the first subtraction is from 25; after that, the number has changed." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response gives the clever/trick answer correctly and provides a clear, logical explanation for why only one subtraction is from 25 specifically, though the more common mathematical answer would be 5 times." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning astutely identifies the question as a literal riddle and provides the precise logic for the 'once' answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly recognizes the riddle\u2019s wording: you can subtract 5 from 25 only once, after which the number is no longer 25." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question and provides a clear, logical explanation for why the answer is 'once' rather than the mathematical answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response provides a clever and logical answer by interpreting the question literally, though it ignores the more common mathematical interpretation of repeated subtraction." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "This is the standard riddle interpretation and the response correctly explains that only the first subtraction is from 25; after that, the number has changed." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response gives the clever/trick answer correctly and provides a clear, logical explanation for why only one subtraction is from 25 specifically, though the more common mathematical answer would be 5 times." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning astutely identifies the question as a literal riddle and provides the precise logic for the 'once' answer." } }, "majority_correct": true, "avg_score": 4.33 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle's intended logic that you can subtract 5 from 25 only once, since after the first subtraction you are no longer subtracting from 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question\u2014that you can only subtract 5 from 25 once before it becomes a different number\u2014and explains the logic clearly, though it could be more concise." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clever and logically sound for the literal, riddle-based interpretation of the question, but it doesn't address the more common mathematical interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle-like logic that you can subtract 5 from 25 only once, after which you are subtracting from 20, and it explains this clearly and accurately." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response gives the clever/trick answer that you can only subtract 5 from 25 once (after which it's no longer 25), with a clear and logical explanation, though it ignores the straightforward mathematical interpretation where 25 \u00f7 5 = 5 times." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the literal, riddle-like nature of the question and provides a perfectly logical explanation for its answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle's intended logic that you can subtract 5 from 25 only once, since after the first subtraction you are no longer subtracting from 25." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question\u2014that you can only subtract 5 from 25 once before it becomes a different number\u2014and explains the logic clearly, though it could be more concise." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is clever and logically sound for the literal, riddle-based interpretation of the question, but it doesn't address the more common mathematical interpretation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle-like logic that you can subtract 5 from 25 only once, after which you are subtracting from 20, and it explains this clearly and accurately." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response gives the clever/trick answer that you can only subtract 5 from 25 once (after which it's no longer 25), with a clear and logical explanation, though it ignores the straightforward mathematical interpretation where 25 \u00f7 5 = 5 times." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the literal, riddle-like nature of the question and provides a perfectly logical explanation for its answer." } }, "majority_correct": true, "avg_score": 4.5 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick in the wording and explains clearly that only the first subtraction is from 25, so the reasoning is accurate and complete." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick interpretation and explains the logic clearly, though it could also acknowledge the more straightforward mathematical answer of 5 times." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the literal 'trick' nature of the question and provides a clear, logical explanation for its answer, though it does not acknowledge the alternative mathematical interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick wording that you can subtract 5 from 25 only once before the number becomes 20, and the explanation is clear and logically sound." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick interpretation and explains the logic clearly, though it could acknowledge the more straightforward mathematical interpretation (25/5=5) before pivoting to the trick answer." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick in the wording and explains clearly that only the first subtraction is from 25, so the reasoning is accurate and complete." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick interpretation and explains the logic clearly, though it could also acknowledge the more straightforward mathematical answer of 5 times." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the literal 'trick' nature of the question and provides a clear, logical explanation for its answer, though it does not acknowledge the alternative mathematical interpretation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick wording that you can subtract 5 from 25 only once before the number becomes 20, and the explanation is clear and logically sound." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick interpretation and explains the logic clearly, though it could acknowledge the more straightforward mathematical interpretation (25/5=5) before pivoting to the trick answer." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 4.4 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 4, "reasoning": "The response gives the straightforward arithmetic answer of 5 and appropriately notes the trick interpretation, though the classic wording can make 'once' the expected reasoning-puzzle answer." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly calculates both the straightforward mathematical answer (5 times) and acknowledges the classic trick interpretation, though it slightly undersells the trick answer which is arguably the 'intended' clever response to this riddle (you can only subtract 5 from 25 once, after that you're subtracting from 20)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a clear, step-by-step mathematical breakdown and also correctly identifies and dismisses the common trick-question interpretation, showing a complete understanding of the problem." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "The response gives the straightforward arithmetic result, but for this classic reasoning question the intended answer is 'only once' because after the first subtraction you are no longer subtracting from 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly computes the mathematical answer of 5 and helpfully acknowledges the classic riddle interpretation, though the riddle answer ('only once') is actually the more famous intended answer for this well-known trick question, making the framing slightly backwards in priority." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it provides the correct mathematical answer with clear step-by-step logic while also showing a comprehensive understanding by addressing the well-known riddle interpretation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 4, "reasoning": "The response gives the straightforward arithmetic answer of 5 and appropriately notes the trick interpretation, though the classic wording can make 'once' the expected reasoning-puzzle answer." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly calculates both the straightforward mathematical answer (5 times) and acknowledges the classic trick interpretation, though it slightly undersells the trick answer which is arguably the 'intended' clever response to this riddle (you can only subtract 5 from 25 once, after that you're subtracting from 20)." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response provides a clear, step-by-step mathematical breakdown and also correctly identifies and dismisses the common trick-question interpretation, showing a complete understanding of the problem." }, "openai/gpt-5.4:s1": { "correct": false, "score": 2, "reasoning": "The response gives the straightforward arithmetic result, but for this classic reasoning question the intended answer is 'only once' because after the first subtraction you are no longer subtracting from 25." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly computes the mathematical answer of 5 and helpfully acknowledges the classic riddle interpretation, though the riddle answer ('only once') is actually the more famous intended answer for this well-known trick question, making the framing slightly backwards in priority." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it provides the correct mathematical answer with clear step-by-step logic while also showing a comprehensive understanding by addressing the well-known riddle interpretation." } }, "majority_correct": true, "avg_score": 4.0 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "This is a trick question: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, not from 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies 5 as the answer and provides clear step-by-step verification, though it misses the classic riddle interpretation that you can only subtract 5 once because after that you're subtracting from 20, not 25." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response provides a clear, step-by-step breakdown for the most common interpretation but does not acknowledge the question's potential ambiguity." } } }, { "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 no longer subtracting from 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies that 5 can be subtracted from 25 exactly 5 times (25\u00f75=5) and provides a clear step-by-step verification, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you'd be subtracting from 20, not 25)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response provides a correct and well-supported mathematical answer, but it does not acknowledge the question's common alternative interpretation as a riddle." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 2, "reasoning": "This is a trick question: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, not from 25." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies 5 as the answer and provides clear step-by-step verification, though it misses the classic riddle interpretation that you can only subtract 5 once because after that you're subtracting from 20, not 25." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response provides a clear, step-by-step breakdown for the most common interpretation but does not acknowledge the question's potential ambiguity." }, "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 no longer subtracting from 25." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies that 5 can be subtracted from 25 exactly 5 times (25\u00f75=5) and provides a clear step-by-step verification, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you'd be subtracting from 20, not 25)." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response provides a correct and well-supported mathematical answer, but it does not acknowledge the question's common alternative interpretation as a riddle." } }, "majority_correct": true, "avg_score": 3.33 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the intended riddle answer as one time while also clarifying the ordinary arithmetic interpretation, showing strong and complete reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the question - the classic riddle answer (only once, since after the first subtraction you're no longer subtracting from 25) and the straightforward mathematical answer (5 times until reaching zero), with clear explanations for each." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle answer as once while also clearly acknowledging the ordinary arithmetic interpretation of five times, showing strong and complete reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the classic riddle - the wordplay answer (only once, since after that you're subtracting from 20) and the straightforward mathematical answer (5 times), with clear step-by-step verification of the latter." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the ambiguity of the question, providing both the literal riddle answer and the standard mathematical answer with clear and accurate explanations for each." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the intended riddle answer as one time while also clarifying the ordinary arithmetic interpretation, showing strong and complete reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the question - the classic riddle answer (only once, since after the first subtraction you're no longer subtracting from 25) and the straightforward mathematical answer (5 times until reaching zero), with clear explanations for each." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle answer as once while also clearly acknowledging the ordinary arithmetic interpretation of five times, showing strong and complete reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the classic riddle - the wordplay answer (only once, since after that you're subtracting from 20) and the straightforward mathematical answer (5 times), with clear step-by-step verification of the latter." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the ambiguity of the question, providing both the literal riddle answer and the standard mathematical answer with clear and accurate explanations for each." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle\u2019s intended logic that only the first subtraction is from 25, and it explains this clearly and accurately." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the riddle's trick answer and provides a clear, logical explanation for why you can only subtract 5 from 25 once, though it's a straightforward explanation without exceptional depth." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the question as a riddle and provides a clear, logical explanation for that specific interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trick in the question and clearly explains that only the first subtraction is from 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick nature of the question and provides sound logical reasoning that you can only subtract 5 from 25 exactly once before the number changes, though it could be more concise." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the literal, 'trick' nature of the question and provides a very clear and logical step-by-step explanation for the answer." } } } ], "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 this clearly and accurately." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the riddle's trick answer and provides a clear, logical explanation for why you can only subtract 5 from 25 once, though it's a straightforward explanation without exceptional depth." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the question as a riddle and provides a clear, logical explanation for that specific interpretation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trick in the question and clearly explains that only the first subtraction is from 25." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick nature of the question and provides sound logical reasoning that you can only subtract 5 from 25 exactly once before the number changes, though it could be more concise." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the literal, 'trick' nature of the question and provides a very clear and logical step-by-step explanation for the answer." } }, "majority_correct": true, "avg_score": 4.33 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } } } }