{ "run_id": "2026-04-13T01-42-44", "prompts": { "logic-1": { "prompt": "If all bloops are razzies and all razzies are lazzies, are all bloops lazzies?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and applies transitive subset reasoning clearly: 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 that leads to the conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and uses the correct analogy of subsets, but it could be slightly more explicit by stating the transitive property that links the premises together." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and uses valid 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 using subset relationships to conclude that all bloops are lazzies, 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 is correct and applies transitive subset reasoning clearly: 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 and clearly explains the subset relationship that leads to the conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and uses the correct analogy of subsets, but it could be slightly more explicit by stating the transitive property that links the premises together." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and uses valid 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 using subset relationships to conclude that all bloops are lazzies, 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": 4.8 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic and subset reasoning to conclude that all bloops are lazzies, with a clear and accurate explanation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is correct and provides an excellent, clear explanation using the concept of subsets to demonstrate the transitive relationship." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and uses valid transitive categorical reasoning: if all bloops are within razzies and all razzies are within lazzies, then all bloops are within lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic: bloops\u2192razzies\u2192lazzies, therefore bloops\u2192lazzies, with a clear and concise explanation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and correctly follows the logical chain, though it is slightly repetitive in its phrasing." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic and subset reasoning to conclude that all bloops are lazzies, with a clear and accurate explanation." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and provides an excellent, clear explanation using the concept of subsets to demonstrate the transitive relationship." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and uses valid transitive categorical reasoning: if all bloops are within razzies and all razzies are within lazzies, then all bloops are within lazzies." }, "anthropic/claude-sonnet-4-6: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 reasoning is sound and correctly follows the logical chain, though it is slightly repetitive in its phrasing." } }, "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 from bloops to razzies to lazzies and clearly explains why all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship, explains each logical step clearly, and arrives at the right conclusion with appropriate use of set membership reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly answers the question, explains the logic step-by-step, and accurately identifies the formal name for this type of reasoning." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive set inclusion to show that if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic/syllogism, clearly explains each step, uses set notation to illustrate the relationship, and arrives at the correct conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly explains the transitive logic of the syllogism using a clear step-by-step breakdown, formal terms, and set notation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive categorical reasoning from bloops to razzies to lazzies and clearly explains why all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship, explains each logical step clearly, and arrives at the right conclusion with appropriate use of set membership reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly answers the question, explains the logic step-by-step, and accurately identifies the formal name for this type of reasoning." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive set inclusion to show that if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic/syllogism, clearly explains each step, uses set notation to illustrate the relationship, and arrives at the correct conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly explains the transitive logic of the syllogism using a clear step-by-step breakdown, formal terms, 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 is logically correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship between the three categories, clearly lays out the premises and conclusion, and accurately applies syllogistic logic to arrive at the correct answer." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response is very good because it correctly answers the question, breaks down the premises, and accurately identifies the argument as a syllogism." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive 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 of implication (A\u2192B, B\u2192C, therefore A\u2192C)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly answers the question, provides a clear step-by-step breakdown of the premises, and accurately identifies the formal logical principle (the transitive property) that guarantees the conclusion." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship between the three categories, clearly lays out the premises and conclusion, and accurately applies syllogistic logic to arrive at the correct answer." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response is very good because it correctly answers the question, breaks down the premises, and accurately identifies the argument as a syllogism." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive 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 identifies both premises, draws the valid conclusion, and accurately references the transitive property of implication (A\u2192B, B\u2192C, therefore A\u2192C)." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly answers the question, provides a clear step-by-step breakdown of the premises, and accurately identifies the formal logical principle (the transitive property) that guarantees the conclusion." } }, "majority_correct": true, "avg_score": 4.83 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive 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 accurately identifying the underlying principle of transitivity to reach the valid conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it is correct, concise, and clearly explains the underlying logical principle of transitivity with a simple analogy." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive reasoning, clearly explains each logical step, and even provides a formal set theory notation to support the conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is flawless, providing the correct answer, a clear step-by-step deduction, and identifying the correct logical principle (transitivity) with a formal analogy." } } } ], "judges": { "openai/gpt-5.4:s0": { "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 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 accurately identifying the underlying principle of transitivity to reach the valid conclusion." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it is correct, concise, and clearly explains the underlying logical principle of transitivity with a simple analogy." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive reasoning, clearly explains each logical step, and even provides a formal set theory notation to support the conclusion." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is flawless, providing the correct answer, a clear step-by-step deduction, and identifying the correct logical principle (transitivity) with a formal 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 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 to reach the valid conclusion, provides clear step-by-step reasoning, and reinforces the concept with an intuitive real-world analogy." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly deduces the conclusion, provides a clear step-by-step breakdown of the logic, and uses a perfect analogy to make the abstract concept easy to understand." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive categorical logic: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship between the three categories, clearly explains each premise, logically derives the conclusion through valid syllogistic reasoning, and even identifies the logical structure being used." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly breaks down the syllogism into its two premises and correctly explains how they chain together to logically prove the conclusion." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic to reach the valid conclusion, provides clear step-by-step reasoning, and reinforces the concept with an intuitive real-world analogy." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly deduces the conclusion, provides a clear step-by-step breakdown of the logic, and uses a perfect analogy to make the abstract concept easy to understand." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive categorical logic: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship between the three categories, clearly explains each premise, logically derives the conclusion through valid syllogistic reasoning, and even identifies the logical structure being used." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response perfectly breaks down the syllogism into its two premises and correctly explains how they chain together to logically prove the 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 applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each step of the syllogism, and arrives at the right conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the conclusion and provides a clear, sound, step-by-step explanation of the transitive logic involved." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive 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 the transitive property of logical implication to conclude that all bloops are lazzies, with a clear and accurate explanation of the reasoning chain." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each step of the syllogism, and arrives at the right conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the conclusion and provides a clear, sound, step-by-step explanation of the transitive logic involved." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies the transitive property of logical implication to conclude that all bloops are lazzies, with a clear and accurate explanation of the reasoning chain." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 5.0 }, "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 clearly verifies that a $0.05 ball implies a $1.05 bat, which is exactly $1 more and sums to $1.10." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The answer is mathematically correct (ball = $0.05, bat = $1.05, difference = $1.00, sum = $1.10), and the verification is clear, though the reasoning could be more explicit by showing the algebraic derivation rather than just verifying the answer." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The setup and algebra are correct, leading to the right answer that the ball costs 5 cents." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of 5 cents with clear, logical steps." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, as it correctly translates the word problem into a clear algebraic equation and shows each logical step to the correct solution." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly verifies that a $0.05 ball implies a $1.05 bat, which is exactly $1 more and sums to $1.10." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The answer is mathematically correct (ball = $0.05, bat = $1.05, difference = $1.00, sum = $1.10), and the verification is clear, though the reasoning could be more explicit by showing the algebraic derivation rather than just verifying the answer." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The setup and algebra are correct, leading to the right answer that the ball costs 5 cents." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of 5 cents with clear, logical steps." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, as it correctly translates the word problem into a clear algebraic equation and shows each logical step to the correct solution." } }, "majority_correct": true, "avg_score": 4.8 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly defines the variables, sets up the equation accurately, and solves it to get the correct answer of $0.05 for the ball." }, "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, while clearly showing each step of the reasoning." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and reaches 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 and logical step-by-step reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly translates the word problem into a precise algebraic equation and shows the clear, logical steps to arrive at the correct solution." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly defines the variables, sets up the equation accurately, and solves it to get the correct answer of $0.05 for the ball." }, "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, while clearly showing each step of the reasoning." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and reaches 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 and logical step-by-step reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response perfectly translates the word problem into a precise algebraic equation and shows the 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 correctly sets up and solves the equation, verifies the result, and explicitly addresses the common mistaken answer." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies both conditions, and even addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, verifies the answer, and proactively addresses the common incorrect intuitive guess." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the equation, verifies the result, and clearly explains why the common intuitive answer is wrong." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies the solution, and even addresses the common cognitive bias that leads people to incorrectly answer $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it provides a clear algebraic setup, a step-by-step solution, a verification of the answer, and an explanation for the common intuitive error." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the equation, verifies the result, and explicitly addresses the common mistaken answer." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies both conditions, and even addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, verifies the answer, and proactively addresses the common incorrect intuitive guess." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the equation, verifies the result, and clearly explains why the common intuitive answer is wrong." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies the solution, and even addresses the common cognitive bias that leads people to incorrectly answer $0.10." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is excellent because it provides a clear algebraic setup, a step-by-step solution, a verification of the answer, and an explanation for 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 equation, solves it accurately to get 5 cents, and briefly addresses the common mistaken answer." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up algebraic equations, arrives at the right answer of $0.05, verifies the solution, and proactively addresses the common intuitive mistake of $0.10 with a clear explanation of why it's wrong." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, verifies the result, and explains why the common intuitive answer is incorrect." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response sets up the correct equations, solves them accurately to get $0.05, and briefly checks why the common $0.10 answer is wrong." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arrives at the right answer of $0.05, verifies the solution, and helpfully 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, step-by-step algebraic solution, verifies the result, and valuably addresses the common intuitive mistake." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the right equation, solves it accurately to get 5 cents, and briefly addresses the common mistaken answer." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up algebraic equations, arrives at the right answer of $0.05, verifies the solution, and proactively addresses the common intuitive mistake of $0.10 with a clear explanation of why it's wrong." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, verifies the result, and explains why the common intuitive answer is incorrect." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response sets up the correct equations, solves them accurately to get $0.05, and briefly checks why the common $0.10 answer is wrong." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arrives at the right answer of $0.05, verifies the solution, and helpfully addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear, step-by-step algebraic solution, verifies the result, and valuably addresses the common intuitive mistake." } }, "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 algebra with a proper substitution and verification, demonstrating excellent reasoning." }, "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 get the right answer of $0.05, and verifies the solution by checking both the total and the difference constraints." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the right equations, solves them accurately, and verifies the result clearly." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves them through substitution, and verifies the answer 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" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear algebra with a proper substitution and verification, demonstrating excellent reasoning." }, "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 get the right answer of $0.05, and verifies the solution by checking both the total and the difference constraints." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the right equations, solves them accurately, and verifies the result clearly." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves them through substitution, and verifies the answer by checking both conditions of the problem." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly uses appropriate algebra with a verification step, demonstrating excellent reasoning." }, "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 with clear substitution, arrives at the correct answer of $0.05 for the ball, and verifies the solution by checking both conditions." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response demonstrates perfect reasoning by correctly translating the word problem into algebraic equations, solving them step-by-step, and verifying the result." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response gives the correct answer and uses a clear algebraic setup, correct solving steps, and a verification check, demonstrating excellent reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using clear algebraic reasoning, defines variables explicitly, sets up the equation properly, solves step-by-step, and verifies the answer, avoiding the common intuitive mistake 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, solves it with a clear step-by-step process, and verifies the answer, demonstrating flawless logic." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly uses appropriate algebra with a verification step, demonstrating excellent reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves them step-by-step with clear substitution, arrives at the correct answer of $0.05 for the ball, and verifies the solution by checking both conditions." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response demonstrates perfect reasoning by correctly translating the word problem into algebraic equations, solving them step-by-step, and verifying the result." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response gives the correct answer and uses a clear algebraic setup, correct solving steps, and a verification check, demonstrating excellent reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using clear algebraic reasoning, defines variables explicitly, sets up the equation properly, solves step-by-step, and verifies the answer, avoiding the common intuitive mistake 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, solves it with a clear step-by-step process, and verifies the answer, demonstrating flawless logic." } }, "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 and solves the two equations, leading to the right answer that the ball costs $0.05." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, substitutes properly, and solves step-by-step to arrive at the correct answer of $0.05 for the ball, while also avoiding the common intuitive but incorrect answer of $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into a system of two algebraic equations and solves it perfectly step-by-step to arrive at the correct answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them step by step, and verifies that the ball costs $0.05 and the bat costs $1.05 for a total of $1.10." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response is fully correct, uses clear variable definitions, proper algebraic substitution, arrives at the right answer of $0.05, and verifies the solution against both original conditions." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it uses a clear, step-by-step algebraic method to reach the correct conclusion and includes a final check to verify the answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the two equations, leading to the right answer 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 two equations, substitutes properly, and solves step-by-step to arrive at the correct answer of $0.05 for the ball, while also avoiding the common intuitive but incorrect answer of $0.10." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into a system of two algebraic equations and solves it perfectly step-by-step to arrive at the correct answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them step by step, and verifies that the ball costs $0.05 and the bat costs $1.05 for a total of $1.10." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response is fully correct, uses clear variable definitions, proper algebraic substitution, arrives at the right answer of $0.05, and verifies the solution against both original conditions." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it uses a clear, step-by-step algebraic method to reach the correct conclusion and includes a final check to verify the answer." } }, "majority_correct": true, "avg_score": 5.0 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "spatial-1": { "prompt": "I'm facing north. I turn right. I turn right again. I turn left. What direction am I facing?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The step-by-step turns are accurately tracked from north to east to south to east, so both the conclusion and reasoning are correct and clear." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final direction of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly follows each directional instruction in sequence, clearly showing the intermediate and final direction." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step from north to east to south to east, leading to the correct final direction." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly follows each directional change step-by-step, demonstrating a clear and accurate logical process." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The step-by-step turns are accurately tracked from north to east to south to east, so both the conclusion and reasoning are correct 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 correct final direction of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly follows each directional instruction in sequence, clearly showing the intermediate and final direction." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step from north to east to south to east, leading to the correct final direction." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly follows each directional change step-by-step, demonstrating a clear and accurate logical process." } }, "majority_correct": true, "avg_score": 5.0 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "The final computed direction is east, but the response first states south, so it is internally inconsistent and therefore not correct overall." }, "anthropic/claude-sonnet-4-6": { "correct": false, "score": 2, "reasoning": "The step-by-step reasoning correctly arrives at east, but the bolded conclusion at the top incorrectly states south, showing an internal contradiction and lack of self-review." }, "gemini/gemini-2.5-pro": { "correct": false, "score": 3, "reasoning": "The step-by-step reasoning is entirely correct, but the initial bolded answer contradicts the conclusion reached by that very reasoning." } } }, { "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." }, "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": false, "score": 2, "reasoning": "The final computed direction is east, but the response first states south, so it is internally inconsistent and therefore not correct overall." }, "anthropic/claude-sonnet-4-6:s0": { "correct": false, "score": 2, "reasoning": "The step-by-step reasoning correctly arrives at east, but the bolded conclusion at the top incorrectly states south, showing an internal contradiction and lack of self-review." }, "gemini/gemini-2.5-pro:s0": { "correct": false, "score": 3, "reasoning": "The step-by-step reasoning is entirely correct, but the initial bolded answer contradicts the conclusion reached by that very reasoning." }, "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." }, "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": false, "avg_score": 3.4 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the turns from North to East to South 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 right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The step-by-step process is logical and correct, but a higher-quality answer could have explained the net effect of the turns (two rights and one left is equivalent to a single right turn)." } } }, { "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 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 right answer of East, with clear and accurate reasoning throughout." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly traces each turn in a clear, step-by-step process, leading to the correct final direction." } } } ], "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 the reasoning is clear, complete, and error-free." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly traces each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The step-by-step process is logical and correct, but a higher-quality answer could have explained the net effect of the turns (two rights and one left is equivalent to a single right turn)." }, "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 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 right answer of East, with clear and accurate reasoning throughout." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly traces each turn in a clear, step-by-step process, leading to the correct final direction." } }, "majority_correct": true, "avg_score": 4.83 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from North to East to South to East, with clear and fully accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the correct final answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The step-by-step directional updates are accurate: north to east, east to south, and south to east, so the conclusion is correct and clearly reasoned." }, "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, step-by-step logical sequence that is easy to follow." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from North to East to South to East, with clear and fully 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": { "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 step-by-step directional updates are accurate: north to east, east to south, and south to east, so the conclusion is correct and clearly reasoned." }, "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, step-by-step logical sequence that is easy to follow." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south 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": { "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 tracks each turn from north to east to south to east, so both the answer and the 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 (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 simple, sequential, and perfectly accurate series of steps." } } } ], "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 direction of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": 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 fully correct." }, "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 (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 simple, sequential, and perfectly accurate series of steps." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, and the reasoning is clear and error-free." }, "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 solves the problem using a perfectly clear, step-by-step logical process that is easy to follow and verify." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and error-free 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 uses a clear, step-by-step method that correctly tracks the direction after each turn, making the logic flawless and easy to follow." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, and the reasoning is clear and error-free." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final direction of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using a perfectly clear, step-by-step logical process that is easy to follow and verify." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and error-free 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 uses a clear, step-by-step method that correctly tracks the direction after each turn, making the logic flawless and easy to follow." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from North to East to South to East and 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 response uses a perfectly clear, step-by-step breakdown of each turn, making the logic transparent and easy to verify." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east and provides 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 perfectly breaks down the problem into clear, accurate, and sequential steps that are easy to follow and lead directly to the correct conclusion." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from North to East to South to East and clearly explains the reasoning step by step." }, "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 uses a perfectly clear, step-by-step breakdown of each turn, making the logic transparent and easy to verify." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east and provides 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 perfectly breaks down the problem into clear, accurate, and sequential steps that are easy to follow and lead directly to the correct conclusion." } }, "majority_correct": true, "avg_score": 5.0 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "causality-1": { "prompt": "A man pushes his car to a hotel and loses his fortune. What happened?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly explains why pushing the car to a hotel caused him to lose his fortune." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly scenario but could have been more concise, as the first line already provides the complete answer without needing the additional explanation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the non-literal context of a board game and logically explains how each element of the riddle fits that scenario." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly maps each clue\u2014car, hotel, and losing fortune\u2014to the game scenario." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains all three clues (car token, hotel, losing fortune), though the explanation is straightforward with no particularly deep reasoning required." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly explains why pushing the car to a hotel caused him to lose his fortune." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly scenario but could have been more concise, as the first line already provides the complete answer without needing the additional explanation." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the non-literal context of a board game and logically explains how each element of the riddle fits that scenario." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic Monopoly riddle and clearly maps each clue\u2014car, hotel, and losing fortune\u2014to the game scenario." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains all three clues (car token, hotel, losing fortune), though the explanation is straightforward with no particularly deep reasoning required." }, "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 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "This is the classic Monopoly riddle, and the response correctly explains how pushing a car token to a hotel can cause a player to lose all their money." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly explanation for this classic lateral thinking puzzle, and provides a clear explanation, though the phrasing 'push your car token' is slightly awkward since in Monopoly you move tokens rather than push them." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it provides a single, coherent context (Monopoly) that logically explains every element of the puzzle." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "This is the standard riddle answer: in Monopoly he pushes the car token to a hotel property and loses his fortune by owing rent, so the response is correct and clearly explained." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly solution and clearly explains both elements of the riddle: the car token and landing on a hotel space requiring rent payment." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the non-literal context of a board game and perfectly explains how each element of the riddle maps to a specific action within that game." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "This is the classic Monopoly riddle, and the response correctly explains how pushing a car token to a hotel can cause a player to lose all their money." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly explanation for this classic lateral thinking puzzle, and provides a clear explanation, though the phrasing 'push your car token' is slightly awkward since in Monopoly you move tokens rather than push them." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it provides a single, coherent context (Monopoly) that logically explains every element of the puzzle." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "This is the standard riddle answer: in Monopoly he pushes the car token to a hotel property and loses his fortune by owing rent, so the response is correct and clearly explained." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly solution and clearly explains both elements of the riddle: the car token and landing on a hotel space requiring rent payment." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the non-literal context of a board game and perfectly explains how each element of the riddle maps to a specific action within that game." } }, "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 identifies the intended Monopoly riddle solution and clearly explains how the car, hotel, and loss of fortune each map to elements of the game." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains each element of the riddle clearly, though the step-by-step framing is minimal since the answer is reached quickly without much demonstrated reasoning process." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic solution and provides an exceptionally clear, step-by-step breakdown 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": "The response identifies the standard Monopoly riddle correctly and clearly maps each clue\u2014the car, hotel, and loss of fortune\u2014to the game scenario." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains the misdirection well, though the 'step by step' framing is slightly misleading since it jumps directly to the answer without showing genuine reasoning steps." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly deconstructs the riddle by first identifying the core misdirection (real-life vs. a game) and then logically mapping each element of the riddle to its correct context in Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response identifies the intended Monopoly riddle solution and clearly explains how the car, hotel, and loss of fortune each map to elements of the game." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains each element of the riddle clearly, though the step-by-step framing is minimal since the answer is reached quickly without much demonstrated reasoning process." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic solution and provides an exceptionally clear, step-by-step breakdown of how each element of the riddle maps to the game of Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response identifies the standard Monopoly riddle correctly and clearly maps each clue\u2014the car, hotel, and loss of fortune\u2014to the game scenario." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution and explains the misdirection well, though the 'step by step' framing is slightly misleading since it jumps directly to the answer without showing genuine reasoning steps." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response perfectly deconstructs the riddle by first identifying the core misdirection (real-life vs. a game) and then logically mapping each element of the riddle to its correct context in Monopoly." } }, "majority_correct": true, "avg_score": 4.67 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It identifies the intended riddle answer and clearly explains how each clue maps to Monopoly, making the reasoning complete and correct." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains all three key elements (car token, hotel property, losing money to rent), though the emoji and conversational framing are unnecessary for a reasoning evaluation." }, "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, step-by-step breakdown of how each element of the puzzle maps to the game of Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response gives the standard correct solution to the lateral thinking puzzle and clearly explains how pushing the car token to a hotel in Monopoly leads to losing his fortune." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies this classic lateral thinking puzzle as referring to Monopoly, accurately explaining all key elements (car token, hotel, losing fortune through rent), though the explanation is slightly verbose for what is a well-known riddle." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the answer to the classic riddle and provides a concise, clear explanation that connects every part of the puzzle to the solution." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It identifies the intended riddle answer and clearly explains how each clue maps to Monopoly, making the reasoning complete and correct." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains all three key elements (car token, hotel property, losing money to rent), though the emoji and conversational framing are unnecessary for a reasoning evaluation." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer to the riddle and provides a perfectly clear, step-by-step breakdown of how each element of the puzzle maps to the game of Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response gives the standard correct solution to the lateral thinking puzzle and clearly explains how pushing the car token to a hotel in Monopoly leads to losing his fortune." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies this classic lateral thinking puzzle as referring to Monopoly, accurately explaining all key elements (car token, hotel, losing fortune through rent), though the explanation is slightly verbose for what is a well-known riddle." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the answer to the classic riddle and provides a concise, clear explanation that connects every part of the puzzle to the solution." } }, "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": "It identifies the classic Monopoly riddle correctly and clearly explains how 'car,' 'hotel,' and 'loses his fortune' refer to the board game rather than real life." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly riddle and explains the wordplay well, though it's slightly over-explained for what is a well-known riddle." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer to the riddle and thoroughly explains the wordplay involved by connecting each part of the riddle to the mechanics of the Monopoly board game." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how each clue maps to the board game scenario." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly solution and clearly explains each element of the riddle's wordplay with accurate and concise reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the solution, thoroughly deconstructs each element of the riddle, and explains the underlying wordplay." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It identifies the classic Monopoly riddle correctly and clearly explains how 'car,' 'hotel,' and 'loses his fortune' refer to the board game rather than real life." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly riddle and explains the wordplay well, though it's slightly over-explained for what is a well-known riddle." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer to the riddle and thoroughly explains the wordplay involved by connecting each part of the riddle to the mechanics of the Monopoly board game." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how each clue maps to the board game scenario." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly solution and clearly explains each element of the riddle's wordplay with accurate and concise reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the solution, thoroughly deconstructs each element of the riddle, and explains the underlying wordplay." } }, "majority_correct": true, "avg_score": 4.83 }, "gemini/gemini-2.5-pro": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null }, "gemini/gemini-2.5-flash": { "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 each clue maps to the game scenario." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation and provides clear, accurate reasoning for each component of the riddle." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it perfectly deconstructs each phrase of the riddle and maps it directly to a specific, accurate rule or element of the game Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 1, "reasoning": "The classic answer is that he is playing Monopoly, where landing on a hotel after moving his car makes him lose his fortune, so the response invents an unrelated scenario." }, "anthropic/claude-sonnet-4-6": { "correct": false, "score": 2, "reasoning": "The correct answer is that this is a Monopoly board game scenario where the man lands on a hotel and must pay rent, losing all his money, but the response instead creates an overly elaborate literal interpretation about overpriced gasoline." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how each clue maps to the game scenario." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation and provides clear, accurate reasoning for each component of the riddle." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent as it perfectly deconstructs each phrase of the riddle and maps it directly to a specific, accurate rule or element of the game Monopoly." }, "openai/gpt-5.4:s1": { "correct": false, "score": 1, "reasoning": "The classic answer is that he is playing Monopoly, where landing on a hotel after moving his car makes him lose his fortune, so the response invents an unrelated scenario." }, "anthropic/claude-sonnet-4-6:s1": { "correct": false, "score": 2, "reasoning": "The correct answer is that this is a Monopoly board game scenario where the man lands on a hotel and must pay rent, losing all his money, but the response instead creates an overly elaborate literal interpretation about overpriced gasoline." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 3.6 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "code-1": { "prompt": "What does this function return for input 5? def f(n): return n if n <= 1 else f(n-1) + f(n-2)", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, computes the values up to 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, traces through each value step by step, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function as the Fibonacci sequence and shows the step-by-step calculation, but it doesn't explicitly trace the recursive calls." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, applies the base cases properly, and accurately computes f(5) = 5 step by step." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces through all recursive calls systematically, applies the base cases accurately, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correct, but it models the calculation as a bottom-up process rather than a true recursive trace with repeated computations." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, computes the values up to 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, traces through each value step by step, 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 as the Fibonacci sequence and shows the step-by-step calculation, but it doesn't explicitly trace the recursive calls." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, applies the base cases properly, and accurately computes f(5) = 5 step by step." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces through all recursive calls systematically, applies the base cases accurately, 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, but it models the calculation as a bottom-up process rather than a true recursive trace with repeated computations." } }, "majority_correct": true, "avg_score": 4.67 }, "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 step by step to show that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, properly applies the base cases, and traces through each recursive call step-by-step to arrive at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function and traces the recursive calls, but it could be slightly clearer by showing the values being summed at each step (e.g., f(5) = f(4) + f(3) = 3 + 2 = 5)." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the recursive Fibonacci definition, evaluates the needed subcalls step by step, and arrives at the correct return value of 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci function, properly applies the base cases, and accurately traces through all recursive calls to arrive at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correct, but it presents the calculation in a linear, bottom-up fashion rather than fully tracing the tree of redundant recursive calls." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies the recursive Fibonacci definition step by step to show that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, properly applies the base cases, and traces through each recursive call step-by-step to arrive at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function and traces the recursive calls, but it could be slightly clearer by showing the values being summed at each step (e.g., f(5) = f(4) + f(3) = 3 + 2 = 5)." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the recursive Fibonacci definition, evaluates the needed subcalls step by step, and arrives at the correct return value of 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci function, properly applies the base cases, and accurately traces through all recursive calls to arrive at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correct, but it presents the calculation in a linear, bottom-up fashion rather than fully tracing the tree of redundant recursive calls." } }, "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, evaluates the base and recursive cases accurately, and clearly shows that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces through all recursive calls accurately, and arrives at the correct answer of 5 with clear step-by-step reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, correctly identifying the function as Fibonacci and providing a perfectly clear, step-by-step trace from the base cases to the correct final answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the function as Fibonacci, traces the recursive calls accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci function, systematically traces all recursive calls with clear base cases, builds back up through the call stack in a well-organized table, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function, shows the recursive decomposition, and then clearly builds the result from the base cases in an easy-to-follow table." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, evaluates the base and recursive cases accurately, and clearly shows that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces through all recursive calls accurately, and arrives at the correct answer of 5 with clear step-by-step reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, correctly identifying the function as Fibonacci and providing a perfectly clear, step-by-step trace from the base cases to the correct final answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the function as Fibonacci, traces the recursive calls accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci function, systematically traces all recursive calls with clear base cases, builds back up through the call stack in a well-organized table, 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, shows the recursive decomposition, and then clearly builds the result from the base cases in an easy-to-follow table." } }, "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 identifies the recursive Fibonacci function, traces the base cases and recursive buildup 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 function as a Fibonacci implementation, provides a clear step-by-step recursive trace with proper base cases, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is very clear and logically sound, but the trace simplifies the recursive calls rather than showing every redundant computation the code actually 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 computes f(5) = 5 with clear reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci function, traces through all recursive calls systematically, builds back up accurately, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function's recursive nature and base cases, but the trace is a simplified linear calculation rather than a full depiction of the branching recursive calls." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci function, traces the base cases and recursive buildup accurately, and arrives at the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as a Fibonacci implementation, provides a clear step-by-step recursive trace with proper base cases, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is very clear and logically sound, but the trace simplifies the recursive calls rather than showing every redundant computation the code actually 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 computes f(5) = 5 with clear reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci function, traces through all recursive calls systematically, builds back up accurately, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning correctly identifies the function's recursive nature and base cases, but the trace is a simplified linear calculation rather than a full depiction of the branching recursive calls." } }, "majority_correct": true, "avg_score": 4.67 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 4, "reasoning": "The response gets the correct result and shows mostly sound recursive tracing, but it has a small parenthesis/formatting mistake so the reasoning is good rather than excellent." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The answer is correct and the recursive trace is clear, though there is a minor formatting issue with a missing parenthesis in one line of the trace that could cause confusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The final answer is correct and the recursive trace is logically sound, but the arithmetic simplification contains a minor typo and a confusing step." } } }, { "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 for input 5, and arrives at the correct return value of 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces through the recursive calls step by step, accurately identifies the base cases, computes the correct result of 5, and provides helpful context about the Fibonacci sequence." }, "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": 4, "reasoning": "The response gets the correct result and shows mostly sound recursive tracing, but it has a small parenthesis/formatting mistake so the reasoning is good rather than excellent." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The answer is correct and the recursive trace is clear, though there is a minor formatting issue with a missing parenthesis in one line of the trace that could cause confusion." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The final answer is correct and the recursive trace is logically sound, but the arithmetic simplification contains a minor typo and a confusing step." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately for input 5, and arrives at the correct return value of 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly traces through the recursive calls step by step, accurately identifies the base cases, computes the correct result of 5, and provides helpful context about the Fibonacci sequence." }, "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 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls and base cases, and reaches the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as a Fibonacci implementation, accurately traces the recursive calls step by step, properly applies the base cases, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correct, but the step-by-step trace simplifies the recursive calls rather than showing the true execution path with its redundant calculations." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, accurately traces the recursive calls to the base cases, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive execution step by step, accurately computes f(5)=5, and correctly identifies the function as computing Fibonacci numbers." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive structure and base cases, and the step-by-step trace leading to the final answer is logical, clear, and easy to follow." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls and base cases, and reaches the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as a Fibonacci implementation, accurately traces the recursive calls step by step, properly applies the base cases, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correct, but the step-by-step trace simplifies the recursive calls rather than showing the true execution path with its redundant calculations." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, accurately traces the recursive calls to the base cases, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive execution step by step, accurately computes f(5)=5, and correctly identifies the function as computing Fibonacci numbers." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive structure and base cases, and the step-by-step trace leading to the final answer is logical, clear, and easy to follow." } }, "majority_correct": true, "avg_score": 4.83 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence with base cases f(0)=0 and f(1)=1, and the step-by-step expansion to f(5)=5 is accurate and clear." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a Fibonacci-like recursive function, traces all base cases and recursive calls accurately, and arrives at the correct answer of 5 with clear, well-organized step-by-step reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the base cases and accurately traces the recursive calls step-by-step, then correctly substitutes the values back to reach the final answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, accurately traces the recursive calls and base cases, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive function step by step, properly identifies the base cases, substitutes values back up the call chain, and arrives at the correct answer of 5, while also correctly identifying the function as computing the Fibonacci sequence." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly traces the recursive calls down to the base cases and then correctly substitutes the values back up to find the final result." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence with base cases f(0)=0 and f(1)=1, and the step-by-step expansion to f(5)=5 is accurate and clear." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a Fibonacci-like recursive function, traces all base cases and recursive calls accurately, and arrives at the correct answer of 5 with clear, well-organized step-by-step reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the base cases and accurately traces the recursive calls step-by-step, then correctly substitutes the values back to reach the final answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, accurately traces the recursive calls and base cases, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive function step by step, properly identifies the base cases, substitutes values back up the call chain, and arrives at the correct answer of 5, while also correctly identifying the function as computing the Fibonacci sequence." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response perfectly traces the recursive calls down to the base cases and then correctly substitutes the values back up to find the final result." } }, "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 answer correctly identifies that 'too big' refers to the trophy, and the reasoning clearly and directly explains the causal relationship in the sentence." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides sound logical reasoning, though the explanation is straightforward and doesn't explore why the pronoun reference could be ambiguous." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning correctly identifies the physical and logical constraint at play: for something to not fit in a container because of size, the item going inside must be too large for the container." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because in this Winograd-style sentence the object that fails to fit is the trophy, so 'too big' unambiguously refers to the trophy." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical reasoning, though the explanation is straightforward and doesn't explore why the pronoun reference points to the trophy rather than the suitcase." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly applies the physical logic of the situation to resolve the ambiguity of the pronoun 'it'." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The answer correctly identifies that 'too big' refers to the trophy, and the reasoning clearly and directly explains the causal relationship in the sentence." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides sound logical reasoning, though the explanation is straightforward and doesn't explore why the pronoun reference could be ambiguous." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning correctly identifies the physical and logical constraint at play: for something to not fit in a container because of size, the item going inside must be too large for the container." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct because in this Winograd-style sentence the object that fails to fit is the trophy, so 'too big' unambiguously refers to the trophy." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical reasoning, though the explanation is straightforward and doesn't explore why the pronoun reference points to the trophy rather than the suitcase." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly applies the physical logic of the situation to resolve the ambiguity of the pronoun 'it'." } }, "majority_correct": true, "avg_score": 4.67 }, "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 the sentence the object that does not fit due to being too big is the trophy, showing accurate pronoun resolution." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, since if the suitcase were too big, the trophy would fit inside it, making the sentence contradictory." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun 'it' by identifying the trophy as the only logical antecedent in the sentence's context." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The pronoun 'it' refers 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 reason it doesn't fit in the suitcase, demonstrating proper pronoun resolution." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by making a logical inference based on the context of one object not fitting inside another." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct because in the sentence the object that does not fit due to being too big is the trophy, showing accurate pronoun resolution." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, since if the suitcase were too big, the trophy would fit inside it, making the sentence contradictory." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun 'it' by identifying the trophy as the only logical antecedent in the sentence's context." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The pronoun 'it' refers to the trophy, since the trophy being too big explains why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it' refers to the trophy, as the trophy is the reason it doesn't fit in the suitcase, demonstrating proper pronoun resolution." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by making a logical inference based on the context of one object not fitting inside another." } }, "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 resolves the pronoun by testing both possible referents and choosing the one that causally explains why the trophy does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, and the reasoning is clear and logical \u2014 it eliminates the suitcase interpretation by explaining why a bigger suitcase would contradict the premise, then confirms the trophy interpretation is consistent with the sentence's meaning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response demonstrates strong reasoning by correctly identifying the two possibilities and using a clear process of elimination to determine the only logical answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by comparing both possible referents and selecting the only interpretation that makes causal sense." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, uses clear logical elimination by testing both pronoun referents, and explains why the alternative interpretation fails." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the pronoun ambiguity, systematically evaluates both possibilities, and uses clear, logical reasoning to eliminate the nonsensical option." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by testing both possible referents and choosing the one that causally explains why the trophy does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, and the reasoning is clear and logical \u2014 it eliminates the suitcase interpretation by explaining why a bigger suitcase would contradict the premise, then confirms the trophy interpretation is consistent with the sentence's meaning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response demonstrates strong reasoning by correctly identifying the two possibilities and using a clear process of elimination to determine the only logical answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by comparing both possible referents and selecting the only interpretation that makes causal sense." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, uses clear logical elimination by testing both pronoun referents, and explains why the alternative interpretation fails." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the pronoun ambiguity, systematically evaluates both possibilities, and uses clear, logical reasoning to eliminate the nonsensical option." } }, "majority_correct": true, "avg_score": 4.83 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun to the trophy and gives a clear, logically sound explanation that contrasts it with the suitcase alternative." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big and provides clear logical reasoning by explaining the counterfactual - if the suitcase were too big, the trophy would fit, confirming the size constraint must be on the trophy." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the antecedent of 'it' and provides excellent, clear reasoning by explaining why the alternative interpretation is illogical." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy' and accurately explains that the trophy's size is 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 referent of 'it' and provides a clear, accurate explanation of the pronoun resolution, though the explanation is somewhat redundant." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response is correct and provides a clear explanation by identifying the pronoun's antecedent and rephrasing the sentence for clarity." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun to the trophy and gives a clear, logically sound explanation that contrasts it with the suitcase alternative." }, "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 explaining the counterfactual - if the suitcase were too big, the trophy would fit, confirming the size constraint must be on the trophy." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the antecedent of 'it' and provides excellent, clear reasoning by explaining why the alternative interpretation is illogical." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to 'the trophy' and accurately explains that the trophy's size is why it 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 'it' and provides a clear, accurate explanation of the pronoun resolution, though the explanation is somewhat redundant." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response is correct and provides a clear explanation by identifying the pronoun's antecedent and rephrasing the sentence for clarity." } }, "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 resolves the pronoun 'it's' to 'the trophy' and gives a clear, accurate explanation based on the sentence meaning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides valid reasoning, though the explanation that the trophy is 'the subject of the sentence' is slightly imprecise since grammatically the trophy is the subject of the relative clause, not the main clause." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent of the pronoun based on the sentence's logical context and provides a clear explanation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun \"it\" to the trophy, which is the object that would be too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big with sound reasoning, though the explanation is straightforward and doesn't deeply explore why 'it' refers to the trophy rather than the suitcase." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is strong because it correctly identifies the pronoun's antecedent and uses the logical context of the sentence to justify its conclusion." } } } ], "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, accurate explanation based on the sentence meaning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides valid reasoning, though the explanation that the trophy is 'the subject of the sentence' is slightly imprecise since grammatically the trophy is the subject of the relative clause, not the main clause." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent of the pronoun based on the sentence's logical context and provides a clear explanation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun \"it\" to the trophy, which is the object that would be too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big with sound reasoning, though the explanation is straightforward and doesn't deeply explore why 'it' refers to the trophy rather than the suitcase." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is strong because it correctly identifies the pronoun's antecedent and uses the logical context of the sentence to justify its conclusion." } }, "majority_correct": true, "avg_score": 4.33 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it' refers to the trophy and gives clear, accurate commonsense reasoning for why the trophy is the thing that is too big." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides logical reasoning, including the helpful counter-argument that if the suitcase were too big the trophy would fit easily, though the pronoun reference explanation in step 3 is slightly imprecise since 'it' is ambiguous by nature in this classic Winograd schema problem." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the pronoun's antecedent and supports the conclusion with a clear, step-by-step logical analysis that resolves the ambiguity." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it' refers to the trophy and gives clear, accurate commonsense reasoning for why the trophy is the thing that is too big." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides logical reasoning, including the helpful counter-argument that if the suitcase were too big the trophy would fit easily, though the pronoun reference explanation in step 3 is slightly imprecise since 'it' is ambiguous by nature in this classic Winograd schema problem." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the pronoun's antecedent and supports the conclusion with a clear, step-by-step logical analysis that resolves the ambiguity." } }, "majority_correct": true, "avg_score": 4.67 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy, which is the item too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big, since it's the trophy that doesn't fit in the suitcase, and the reasoning follows logically from the sentence structure where 'it' refers back to the trophy as the subject causing the fitting problem." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun ambiguity by applying real-world logic to the context of the sentence." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because in the sentence the trophy is the item that would not fit due to being too big, showing accurate pronoun resolution." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big, which is the logical interpretation since the trophy not fitting in the suitcase implies the trophy exceeds the suitcase's capacity." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by applying real-world knowledge that the object attempting to be contained is the one whose size is the limiting factor." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy, which is the item 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 too big, since it's the trophy that doesn't fit in the suitcase, and the reasoning follows logically from the sentence structure where 'it' refers back to the trophy as the subject causing the fitting problem." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun ambiguity by applying real-world logic to the context of the sentence." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct because in the sentence the trophy is the item that would not fit due to being too big, showing accurate pronoun resolution." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big, which is the logical interpretation since the trophy not fitting in the suitcase implies the trophy exceeds the suitcase's capacity." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by applying real-world knowledge that the object attempting to be contained is the one whose size is the limiting factor." } }, "majority_correct": true, "avg_score": 4.33 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "common-sense-1": { "prompt": "How many times can you subtract 5 from 25?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle interpretation that you can subtract 5 from 25 only once, and its explanation is clear and logically sound." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the lateral thinking interpretation of the question and provides a clear explanation for why the answer is 'once,' though it could be more concise." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly interprets the question as a lateral thinking riddle and provides a clear, logical explanation based on a literal interpretation of the wording." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because it recognizes the riddle\u2019s wording: you can subtract 5 from 25 only once before the 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 arithmetic answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clever and logically sound, correctly identifying the riddle's trick based on a literal interpretation of the question's wording." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic riddle interpretation that you can subtract 5 from 25 only once, and its explanation is clear and logically sound." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the lateral thinking interpretation of the question and provides a clear explanation for why the answer is 'once,' though it could be more concise." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly interprets the question as a lateral thinking riddle and provides a clear, logical explanation based on a literal interpretation of the wording." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct because it recognizes the riddle\u2019s wording: you can subtract 5 from 25 only once before the number is no longer 25." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question and provides a clear, logical explanation for why the answer is 'once' rather than the arithmetic answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is clever and logically sound, correctly identifying the riddle's trick based on a literal interpretation of the question's wording." } }, "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 classic wording trick that you can subtract 5 from 25 only once before the number is no longer 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick answer that you can only subtract 5 from 25 once before it's no longer 25, and provides a clear explanation, though the reasoning could be more concisely stated." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response provides a clear and logical explanation for the riddle interpretation of the question, successfully justifying why the answer is 'once'." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because this is a wordplay question: you can subtract 5 from 25 only once, after which you are subtracting from 20 instead of 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the clever wordplay interpretation\u2014that you can only subtract 5 from 25 once before the number changes\u2014and provides a clear, logical explanation for this non-obvious answer." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly interprets the question as a literal logic puzzle and provides a clear, concise justification for its answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic wording trick that you can subtract 5 from 25 only once before the number is no longer 25." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick answer that you can only subtract 5 from 25 once before it's no longer 25, and provides a clear explanation, though the reasoning could be more concisely stated." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response provides a clear and logical explanation for the riddle interpretation of the question, successfully justifying why the answer is 'once'." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct because this is a wordplay question: you can subtract 5 from 25 only once, after which you are subtracting from 20 instead of 25." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the clever wordplay interpretation\u2014that you can only subtract 5 from 25 once before the number changes\u2014and provides a clear, logical explanation for this non-obvious answer." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly interprets the question as a literal logic puzzle and provides a clear, concise justification for its answer." } }, "majority_correct": true, "avg_score": 4.33 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly recognizes the trick in the wording: you can subtract 5 from 25 only once, after which you are subtracting from 20, so the reasoning is clear and complete." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick interpretation of the question and explains the logic clearly, though it could acknowledge the more straightforward mathematical interpretation (25/5=5) before presenting the trick answer." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question and provides a clear, logical explanation for its literal interpretation, though it doesn't acknowledge the alternative mathematical interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick in the wording and clearly explains that only the first subtraction is from 25, so the reasoning is fully sound." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies and explains the trick answer (1 time) with clear reasoning about why the number changes after the first subtraction, 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 clear, logical explanation for its answer, although it does not acknowledge the more common mathematical interpretation (division)." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly recognizes the trick in the wording: you can subtract 5 from 25 only once, after which you are subtracting from 20, so the reasoning is clear and complete." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick interpretation of the question and explains the logic clearly, though it could acknowledge the more straightforward mathematical interpretation (25/5=5) before presenting the trick answer." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question and provides a clear, logical explanation for its literal interpretation, though it doesn't acknowledge the alternative mathematical interpretation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick in the wording and clearly explains that only the first subtraction is from 25, so the reasoning is fully sound." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies and explains the trick answer (1 time) with clear reasoning about why the number changes after the first subtraction, 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 clear, logical explanation for its answer, although it does not acknowledge the more common mathematical interpretation (division)." } }, "majority_correct": true, "avg_score": 4.33 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "The response notes the classic interpretation but still gives the straightforward arithmetic count, whereas the reasoning-question answer is typically that you can subtract 5 from 25 only once because after that you are subtracting from 20." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly calculates that 5 can be subtracted from 25 exactly 5 times, shows clear step-by-step work, and even acknowledges the classic trick interpretation of the question, though the note slightly undercuts itself by suggesting the trick answer might be valid when the mathematical answer is straightforwardly 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a perfect step-by-step demonstration of the correct mathematical process while also acknowledging and clarifying the common trick-question interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "The response gives the arithmetic count of repeated subtraction, but for this classic reasoning question the intended answer is that you can subtract 5 from 25 only once because after that you are subtracting from a different number." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies both the mathematical answer (5 times) and the classic riddle interpretation (once), demonstrating thorough reasoning, though presenting the trick answer as secondary slightly undersells its validity as the intended interpretation of the riddle." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the two common interpretations of the question, providing a clear, step-by-step calculation for the mathematical answer and a concise explanation for the 'riddle' answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 2, "reasoning": "The response notes the classic interpretation but still gives the straightforward arithmetic count, whereas the reasoning-question answer is typically that you can subtract 5 from 25 only once because after that you are subtracting from 20." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly calculates that 5 can be subtracted from 25 exactly 5 times, shows clear step-by-step work, and even acknowledges the classic trick interpretation of the question, though the note slightly undercuts itself by suggesting the trick answer might be valid when the mathematical answer is straightforwardly 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response provides a perfect step-by-step demonstration of the correct mathematical process while also acknowledging and clarifying the common trick-question interpretation." }, "openai/gpt-5.4:s1": { "correct": false, "score": 2, "reasoning": "The response gives the arithmetic count of repeated subtraction, but for this classic reasoning question the intended answer is that you can subtract 5 from 25 only once because after that you are subtracting from a different number." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies both the mathematical answer (5 times) and the classic riddle interpretation (once), demonstrating thorough reasoning, though presenting the trick answer as secondary slightly undersells its validity as the intended interpretation of the riddle." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the two common interpretations of the question, providing a clear, step-by-step calculation for the mathematical answer and a concise explanation for the 'riddle' answer." } }, "majority_correct": true, "avg_score": 3.67 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "This is a classic riddle where 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 where the answer is 'only once, because after that you're subtracting from 20.'" }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correctly demonstrates the mathematical solution, but it doesn't acknowledge the common alternative 'riddle' interpretation of the question." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "This is a classic trick question because you can subtract 5 from 25 only once, after which you are subtracting 5 from 20, so the response misses the intended reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies that 5 can be subtracted from 25 exactly 5 times and shows clear step-by-step work, though it misses the classic trick answer that you can only subtract 5 from 25 once (after that you're subtracting from 20, 15, etc.)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response provides a clear, step-by-step mathematical breakdown but does not acknowledge the common alternative 'trick' interpretation of the question." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 2, "reasoning": "This is a classic riddle where 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 where the answer is 'only once, because after that you're subtracting from 20.'" }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is clear and correctly demonstrates the mathematical solution, but it doesn't acknowledge the common alternative 'riddle' interpretation of the question." }, "openai/gpt-5.4:s1": { "correct": false, "score": 2, "reasoning": "This is a classic trick question because you can subtract 5 from 25 only once, after which you are subtracting 5 from 20, so the response misses the intended reasoning." }, "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 and shows clear step-by-step work, though it misses the classic trick answer that you can only subtract 5 from 25 once (after that you're subtracting from 20, 15, etc.)." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response provides a clear, step-by-step mathematical breakdown but does not acknowledge the common alternative 'trick' interpretation of the question." } }, "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 riddle interpretation as 'once' while also reasonably noting the alternate arithmetic interpretation of repeated subtraction to reach zero." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the question, providing the riddle answer (once) and the mathematical answer (five times) with clear reasoning and demonstration for each." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the ambiguity of the question, providing both the literal 'riddle' answer and the standard mathematical interpretation with clear reasoning for each." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle interpretation as 'once' while also clearly explaining the ordinary arithmetic interpretation, showing strong reasoning and useful clarification." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both the riddle interpretation (only once, since after that you're subtracting from a different number) and the mathematical interpretation (5 times until reaching zero), with clear step-by-step work shown." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the question's ambiguity and provides two distinct, well-explained answers for both the literal (riddle) and mathematical interpretations." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle interpretation as 'once' while also reasonably noting the alternate arithmetic interpretation of repeated subtraction to reach zero." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the question, providing the riddle answer (once) and the mathematical answer (five times) with clear reasoning and demonstration for each." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the ambiguity of the question, providing both the literal 'riddle' answer and the standard mathematical interpretation with clear reasoning for each." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle interpretation as 'once' while also clearly explaining the ordinary arithmetic interpretation, showing strong reasoning and useful clarification." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both the riddle interpretation (only once, since after that you're subtracting from a different number) and the mathematical interpretation (5 times until reaching zero), with clear step-by-step work shown." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the question's ambiguity and provides two distinct, well-explained answers for both the literal (riddle) and mathematical interpretations." } }, "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 trick in the wording and clearly explains why you can subtract 5 from 25 only once before the number changes." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick nature of the question and gives the technically accurate answer of 'once' while helpfully also addressing the likely intended interpretation of dividing 25 by 5 to get 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the ambiguity in the question, provides a clear and logical answer for the literal interpretation, and also explains the alternative mathematical interpretation." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the intended trick-answer as once and also clarifies the alternative repeated-subtraction interpretation, showing strong reasoning and completeness." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the trick question, explaining that you can only subtract 5 from 25 once (literally), and also providing the answer of 5 times if the question means repeated subtraction until reaching zero." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response demonstrates excellent reasoning by identifying the question's ambiguity and providing clear, well-explained answers for both the literal and the mathematical interpretations." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trick in the wording and clearly explains why you can subtract 5 from 25 only once before the number changes." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick nature of the question and gives the technically accurate answer of 'once' while helpfully also addressing the likely intended interpretation of dividing 25 by 5 to get 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the ambiguity in the question, provides a clear and logical answer for the literal interpretation, and also explains the alternative mathematical interpretation." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the intended trick-answer as once and also clarifies the alternative repeated-subtraction interpretation, showing strong reasoning and completeness." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the trick question, explaining that you can only subtract 5 from 25 once (literally), and also providing the answer of 5 times if the question means repeated subtraction until reaching zero." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response demonstrates excellent reasoning by identifying the question's ambiguity and providing clear, well-explained answers for both the literal and the mathematical interpretations." } }, "majority_correct": true, "avg_score": 4.83 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } } } }