{ "run_id": "2026-04-13T05-57-19", "prompts": { "logic-1": { "prompt": "If all bloops are razzies and all razzies are lazzies, are all bloops lazzies?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship, provides clear logical reasoning using subset notation, and arrives at the correct conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly answers the question and provides a concise, accurate explanation using both a subset analogy and the correct logical term, 'transitive relationship'." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship, provides clear logical reasoning using subset notation, and arrives at the correct conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly answers the question and provides two distinct, clear, and accurate logical frameworks (subset theory and transitivity) to support the conclusion." } } } ], "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 identifies the transitive relationship, provides clear logical reasoning using subset notation, and arrives at the correct conclusion." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly answers the question and provides a concise, accurate explanation using both a subset analogy and the correct logical term, 'transitive relationship'." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship, provides clear logical reasoning using subset notation, and arrives at the correct conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly answers the question and provides two distinct, clear, and accurate logical frameworks (subset theory and transitivity) to support the conclusion." } }, "majority_correct": true, "avg_score": 5.0 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and applies valid transitive categorical reasoning: if bloops are a subset of razzies and razzies are a subset of lazzies, then bloops are a subset of lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic: if A\u2286B and B\u2286C, then A\u2286C, and clearly explains the reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly answers the question and provides a perfect, concise explanation by identifying the logical principle of transitive reasoning." } } }, { "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 logic, clearly explaining that bloops are a subset of razzies, which are a subset of lazzies, therefore all bloops must be lazzies." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly explains the transitive relationship using the concept of set inclusion, providing a clear and logical justification for the correct answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and applies valid transitive categorical reasoning: if bloops are a subset of razzies and razzies are a subset of lazzies, then bloops are a subset of lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic: if A\u2286B and B\u2286C, then A\u2286C, and clearly explains the reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly answers the question and provides a perfect, concise explanation by identifying the logical principle of transitive reasoning." }, "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 logic, clearly explaining that bloops are a subset of razzies, which are a subset of lazzies, therefore all bloops must be lazzies." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly explains the transitive relationship using the concept of set inclusion, providing a clear and logical justification for the correct answer." } }, "majority_correct": true, "avg_score": 4.83 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship between the three categories, clearly walks through each premise, and arrives at the correct conclusion using valid syllogistic reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the premises, demonstrates the logical chain of transitive reasoning, and provides a clear, accurate conclusion." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive reasoning from bloops to razzies to lazzies, fully answering the question." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive logical relationship between bloops, razzies, and lazzies, clearly walks through each premise, and arrives at the correct conclusion using valid syllogistic reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both premises, demonstrates the transitive relationship clearly, and accurately names the logical structure as a syllogism." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive relationship between the three categories, clearly walks through each premise, and arrives at the correct conclusion using valid syllogistic reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the premises, demonstrates the logical chain of transitive reasoning, and provides a clear, accurate conclusion." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive reasoning from bloops to razzies to lazzies, fully answering the question." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the transitive logical relationship between bloops, razzies, and lazzies, clearly walks through each premise, and arrives at the correct conclusion using valid syllogistic reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both premises, demonstrates the transitive relationship clearly, and accurately names the logical structure as a syllogism." } }, "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 contained within razzies and all razzies within lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic/syllogism, clearly lays out both premises, and draws the valid conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive reasoning, clearly identifies both premises, draws the valid conclusion, and even references the formal logical principle (subset transitivity) that underlies the argument." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is perfectly correct, clearly lays out the premises and conclusion, and accurately identifies the formal logical principle (transitive property) at play." } } } ], "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 contained within razzies and all razzies within lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic/syllogism, clearly lays out both premises, and draws the valid conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive reasoning, clearly identifies both premises, draws the valid conclusion, and even references the formal logical principle (subset transitivity) that underlies the argument." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is perfectly correct, clearly lays out the premises and conclusion, and accurately identifies the formal logical principle (transitive property) at play." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies 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, clearly explains each step of the syllogism, and accurately invokes the subset principle to reach the valid conclusion." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is flawless, providing a correct answer and a clear, concise explanation of the logical principle of transitivity with a perfect analogy." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because it properly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies the transitive property of logical implication to conclude that all bloops are lazzies, with a clear step-by-step explanation and accurate visual chain." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is correct and provides a perfectly clear and concise explanation of the logical steps, correctly identifying the transitive nature of the argument." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly applies valid transitive subset reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each step of the syllogism, and accurately invokes the subset principle to reach the valid conclusion." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is flawless, providing a correct answer and a clear, concise explanation of the logical principle of transitivity with a perfect analogy." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct because it properly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6: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 step-by-step explanation and accurate visual chain." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and provides a perfectly clear and concise explanation of the logical steps, correctly identifying the transitive nature of the argument." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive set inclusion, with a helpful example that accurately illustrates why all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains the set containment reasoning, and reinforces the abstract logic with a concrete real-world analogy." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, as it correctly translates the abstract premises into a clear relationship of nested sets and uses a perfect real-world analogy to make the conclusion undeniable." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each premise, draws the valid conclusion, and reinforces the reasoning with a helpful real-world analogy." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, breaking down the syllogism into clear premises and a conclusion, and solidifying the concept with a perfect real-world analogy." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive set inclusion, with a helpful example that accurately illustrates why all bloops must be lazzies." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains the set containment reasoning, and reinforces the abstract logic with a concrete real-world analogy." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, as it correctly translates the abstract premises into a clear relationship of nested sets and uses a perfect real-world analogy to make the conclusion undeniable." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive categorical reasoning: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains each premise, draws the valid conclusion, and reinforces the reasoning with a helpful real-world analogy." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, breaking down the syllogism into clear premises and a conclusion, and solidifying the concept with a perfect real-world analogy." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is 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 (if A\u2192B and B\u2192C, then A\u2192C) and clearly explains each step of the syllogism in an easy-to-follow manner." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear and logical step-by-step explanation that correctly demonstrates the transitive property of the syllogism." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive set inclusion: 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 the syllogism using subset relationships, and arrives at the correct conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it accurately uses the concept of subsets to provide a clear and logically sound explanation for 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 (if A\u2192B and B\u2192C, then A\u2192C) and clearly explains each step of the syllogism in an easy-to-follow manner." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response provides a perfectly clear and logical step-by-step explanation that correctly demonstrates the transitive property of the syllogism." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is logically correct and clearly applies transitive set inclusion: if all bloops are razzies and all razzies are lazzies, then all bloops are lazzies." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly applies transitive logic, clearly explains the syllogism using subset relationships, and arrives at the correct conclusion that all bloops are lazzies." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it accurately uses the concept of subsets to provide a clear and logically sound explanation for the conclusion." } }, "majority_correct": true, "avg_score": 5.0 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "math-1": { "prompt": "A bat and a ball cost $1.10 together. The bat costs $1 more than the ball. How much does the ball cost?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly verifies that if the ball is $0.05, then the bat is $1.05 and the total is $1.10, which fully satisfies the conditions." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that the ball costs $0.05, avoids the common intuitive error of answering $0.10, and clearly verifies the solution by checking both conditions of the problem." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is excellent because it clearly verifies the answer by checking it against all the problem's conditions, though it doesn't show how the answer was derived." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly verifies the relationship and total, showing sound and complete reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem with clear verification, avoiding the common intuitive but wrong answer of $0.10, and shows all steps confirming the solution satisfies both constraints." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response provides a clear and logical verification of the correct answer, though it doesn't explain the algebraic process for deriving it." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly verifies that if the ball is $0.05, then the bat is $1.05 and the total is $1.10, which fully satisfies the conditions." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that the ball costs $0.05, avoids the common intuitive error of answering $0.10, and clearly verifies the solution by checking both conditions of the problem." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is excellent because it clearly verifies the answer by checking it against all the problem's conditions, though it doesn't show how the answer was derived." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly verifies the relationship and total, showing sound and complete reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem with clear verification, avoiding the common intuitive but wrong answer of $0.10, and shows all steps confirming the solution satisfies both constraints." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response provides a clear and logical verification of the correct answer, though it doesn't explain the algebraic process for deriving 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 correctly sets up the equation x + (x + 1.00) = 1.10 and solves it accurately to show the ball costs $0.05." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the system of equations, arriving at the right answer of $0.05 for the ball, with clear and logical step-by-step algebraic work." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into a clear algebraic equation and solves it with flawless, step-by-step logic." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and concludes that the ball costs $0.05." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of $0.05 for the ball, with clear step-by-step reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equation from the problem statement and solves it with clear, logical steps." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equation x + (x + 1.00) = 1.10 and solves it accurately to show the ball costs $0.05." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the system of equations, arriving at the right answer of $0.05 for the ball, with clear and logical step-by-step algebraic work." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly translates the word problem into a clear algebraic equation and solves it with flawless, step-by-step logic." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and concludes that the ball costs $0.05." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equations, arriving at the right answer of $0.05 for the ball, with clear step-by-step reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equation from the problem statement and solves it with clear, logical steps." } }, "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 clearly explains why the common intuitive answer is wrong." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equation, solves it accurately to get $0.05, verifies the answer, and even addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a flawless step-by-step algebraic solution, complete with verification and an explanation of the common incorrect intuitive answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct, sets up the algebra properly, solves it accurately, and includes a clear verification that rules out the common incorrect intuition." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies 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 the algebraic equation, solves it clearly, verifies the answer, and explains the common cognitive trap, making it a comprehensive and excellent explanation." } } } ], "judges": { "openai/gpt-5.4:s0": { "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:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equation, solves it accurately to get $0.05, verifies the answer, and even addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response provides a flawless step-by-step algebraic solution, complete with verification and an explanation of the common incorrect intuitive answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct, sets up the algebra properly, solves it accurately, and includes a clear verification that rules out the common incorrect intuition." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the algebraic equation, arrives at the right answer of $0.05, verifies both conditions, and even addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the algebraic equation, solves it clearly, verifies the answer, and explains the common cognitive trap, making it a comprehensive and excellent explanation." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear algebraic reasoning to derive that the ball costs $0.05, while also addressing the common incorrect intuition of $0.10." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using algebra, arrives at the right answer of $0.05, verifies the solution, and even addresses the common intuitive mistake of answering $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 equations, clearly shows each step, and explains why the common intuitive answer is incorrect." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and includes a clear check showing the ball costs $0.05 and the bat $1.05." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the system of equations, arrives at the right answer of $0.05, verifies the solution, and helpfully addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it provides a flawless step-by-step algebraic solution and also explains why the common intuitive answer is incorrect." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear algebraic reasoning to derive that the ball costs $0.05, while also addressing the common incorrect intuition of $0.10." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using algebra, arrives at the right answer of $0.05, verifies the solution, and even addresses the common intuitive mistake of answering $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 equations, clearly shows each step, and explains why the common intuitive answer is incorrect." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately, and includes a clear check showing the ball costs $0.05 and the bat $1.05." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up and solves the system of equations, arrives at the right answer of $0.05, verifies the solution, and helpfully addresses the common intuitive mistake of answering $0.10." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it provides a flawless step-by-step algebraic solution and also explains why the common intuitive answer is incorrect." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the equation accurately, solves it step by step without errors, and verifies the result." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up algebraic equations, solves them accurately to get $0.05, and verifies the answer, avoiding the common intuitive trap of answering $0.10." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly translates the word problem into a clear algebraic equation, solves it with logical steps, and includes a final verification." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the two equations, solves them accurately, and verifies the result, showing clear and complete reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, substitutes properly, solves for the ball's cost of $0.05, and verifies the answer by checking both conditions." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly defines variables, correctly sets up the algebraic equations, shows all logical steps, and verifies the final answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the equation accurately, solves it step by step without errors, and verifies the result." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up algebraic equations, solves them accurately to get $0.05, and verifies the answer, avoiding the common intuitive trap of answering $0.10." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly translates the word problem into a clear algebraic equation, solves it with logical steps, and includes a final verification." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly defines variables, sets up the two equations, solves them accurately, and verifies the result, showing clear and complete reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, substitutes properly, solves for the ball's cost of $0.05, and verifies the answer by checking both conditions." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it clearly defines variables, correctly sets up the algebraic equations, shows all logical steps, and verifies the final answer." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and uses clear, complete algebra with a verification step, demonstrating excellent reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using clear algebraic steps, arrives at the right answer of $0.05, and verifies the solution by checking both conditions." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly translates the problem into algebraic equations, solves them with clear, step-by-step logic, and verifies the final answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response gives the correct answer of $0.05 and supports it with clear, valid logical and algebraic reasoning plus a correct verification." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the answer as $0.05, provides two clear solution methods (logical and algebraic), includes a verification step, and explicitly addresses the common intuitive wrong answer trap inherent in this classic 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, complete algebra with a verification step, demonstrating excellent reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly solves the problem using clear algebraic steps, arrives at the right answer of $0.05, and verifies the solution by checking both conditions." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly translates the problem into algebraic equations, solves them with clear, step-by-step logic, and verifies the final answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response gives the correct answer of $0.05 and supports it with clear, valid logical and algebraic reasoning plus a correct verification." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the answer as $0.05, provides two clear solution methods (logical and algebraic), includes a verification step, and explicitly addresses the common intuitive wrong answer trap inherent in this classic 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-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately by substitution, and verifies the result, showing clear and complete reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of equations, solves them using substitution with clear step-by-step work, arrives at the correct answer of $0.05, and verifies the solution by checking both original conditions." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a flawless, step-by-step algebraic solution that is logically sound, easy to follow, and includes a final verification of the result." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response sets up the equations correctly, solves them step by step without error, and verifies the result, so both the answer and reasoning are excellent." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves them step-by-step using substitution, arrives at the correct answer of $0.05, and verifies the solution by checking both original conditions." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response provides a flawless, step-by-step algebraic solution and confirms the answer's accuracy with a final verification." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up the equations, solves them accurately by substitution, and verifies the result, showing clear and complete reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of equations, solves them using substitution with clear step-by-step work, arrives at the correct answer of $0.05, and verifies the solution by checking both original conditions." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response provides a flawless, step-by-step algebraic solution that is logically sound, easy to follow, and includes a final verification of the result." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response sets up the equations correctly, solves them step by step without error, and verifies the result, so both the answer and reasoning are excellent." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly sets up a system of two equations, solves them step-by-step using substitution, arrives at the correct answer of $0.05, and verifies the solution by checking both original conditions." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response provides a flawless, step-by-step algebraic solution and confirms the answer's accuracy with a final verification." } }, "majority_correct": true, "avg_score": 5.0 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "spatial-1": { "prompt": "I'm facing north. I turn right. I turn right again. I turn left. What direction am I facing?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and error-free reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final direction of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, breaking the problem down into a clear, step-by-step process that correctly identifies the direction after each turn." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east and gives the right final direction." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into a clear, step-by-step process that is accurate 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, with clear and error-free reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final direction of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is flawless, breaking the problem down into a clear, step-by-step process that correctly identifies the direction after each turn." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east and gives the right final direction." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the right answer of east with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly breaks down the problem into a clear, step-by-step process that is accurate and easy to follow." } }, "majority_correct": true, "avg_score": 5.0 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "The step-by-step reasoning correctly ends at east, but the response first states south, so the final answer is inconsistent and therefore incorrect." }, "anthropic/claude-sonnet-4-6": { "correct": false, "score": 2, "reasoning": "The step-by-step reasoning correctly arrives at east, but the bolded answer at the top incorrectly states south, showing an internal contradiction within the response." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "The final computed direction is east, so the response is internally inconsistent because it first claims south and then correctly reasons to east." }, "anthropic/claude-sonnet-4-6": { "correct": false, "score": 2, "reasoning": "The response contradicts itself by stating 'You end up facing south' in the opening but then correctly works through the steps to arrive at east, making the final answer east correct but the initial statement wrong, showing internal inconsistency." }, "gemini/gemini-2.5-pro": { "correct": false, "score": 4, "reasoning": "The step-by-step reasoning and its final conclusion are perfectly correct, but they contradict the initial, incorrect answer provided." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 2, "reasoning": "The step-by-step reasoning correctly ends at east, but the response first states south, so the final answer is inconsistent and therefore incorrect." }, "anthropic/claude-sonnet-4-6:s0": { "correct": false, "score": 2, "reasoning": "The step-by-step reasoning correctly arrives at east, but the bolded answer at the top incorrectly states south, showing an internal contradiction within the response." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": false, "score": 2, "reasoning": "The final computed direction is east, so the response is internally inconsistent because it first claims south and then correctly reasons to east." }, "anthropic/claude-sonnet-4-6:s1": { "correct": false, "score": 2, "reasoning": "The response contradicts itself by stating 'You end up facing south' in the opening but then correctly works through the steps to arrive at east, making the final answer east correct but the initial statement wrong, showing internal inconsistency." }, "gemini/gemini-2.5-pro:s1": { "correct": false, "score": 4, "reasoning": "The step-by-step reasoning and its final conclusion are perfectly correct, but they contradict the initial, incorrect answer provided." } }, "majority_correct": false, "avg_score": 2.4 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The step-by-step turns are traced correctly from North to East to South to East, so the conclusion is accurate and clearly reasoned." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly follows each directional turn in sequence, clearly showing the intermediate steps to arrive at the correct final answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the sequence of turns from North to East to South to East with clear, step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly follows each directional turn in a clear, step-by-step process to reach the right conclusion." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The step-by-step turns are traced correctly from North to East to South to East, so the conclusion is accurate and clearly reasoned." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly traces each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly follows each directional turn in sequence, clearly showing the intermediate steps to arrive at the correct final answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks the sequence of turns from North to East to South to East with clear, step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly follows each directional turn in a clear, step-by-step process to reach the right conclusion." } }, "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 accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and the step-by-step directional reasoning is clear, complete, and logically consistent." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the final direction by accurately tracking each turn in a clear, step-by-step manner." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct and the step-by-step directional reasoning is clear, complete, and logically consistent." }, "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 identifies the final direction by accurately tracking each turn in a clear, step-by-step manner." } }, "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 step-by-step directional turns are applied correctly from north to east to south to east, so both the answer and the reasoning are accurate and clear." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The step-by-step process is perfectly logical, clearly showing how the final correct direction is reached after each turn." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, and the step-by-step reasoning is clear and accurate." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The step-by-step directional turns are applied correctly from north to east to south to east, so both the answer and the reasoning are accurate and clear." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The step-by-step process is perfectly logical, clearly showing how the final correct direction is reached after each turn." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, and the step-by-step reasoning is clear and accurate." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step by step, arriving at the right answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 5.0 }, "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, with clear and fully accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly traces each turn step-by-step, arriving at the 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" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final direction of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly follows each directional change in a clear, step-by-step process that is easy to verify." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and fully accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly traces each turn step-by-step, arriving at the right 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 response correctly tracks each turn from north to east to south to east, with clear and accurate step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final direction of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly follows each directional change in a clear, step-by-step process that is easy to verify." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east and reaches the right final direction with clear, step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn sequentially, clearly stating the starting direction, the action taken, and the resulting direction at every step." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and fully accurate reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response uses a clear, step-by-step process that correctly tracks the change in direction at each turn, leading to the accurate final answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east and reaches the right final direction with clear, step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn sequentially, clearly stating the starting direction, the action taken, and the resulting direction at every step." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn from north to east to south to east, with clear and fully accurate reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly tracks each turn step-by-step, arriving at the correct final answer of East with clear and accurate reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response uses a clear, step-by-step process that correctly tracks the change in direction at each turn, leading to the accurate final answer." } }, "majority_correct": true, "avg_score": 5.0 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "causality-1": { "prompt": "A man pushes his car to a hotel and loses his fortune. What happened?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains that pushing the car token to a hotel causes the player to lose money, fully resolving the clue." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly board game scenario where the car is a game token, landing on a hotel means paying rent, and 'losing his fortune' refers to losing all his money in the game." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the non-literal context of the riddle and provides a clear, concise explanation that connects all elements of the puzzle." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly maps each clue\u2014the car, the hotel, and losing money\u2014to the board game scenario." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this classic riddle about Monopoly, accurately explaining all three clues: the car token, landing on a hotel, and losing money as a result." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the solution and perfectly breaks down how each key phrase in the riddle maps to a specific element of the game Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains that pushing the car token to a hotel causes the player to lose money, fully resolving the clue." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly board game scenario where the car is a game token, landing on a hotel means paying rent, and 'losing his fortune' refers to losing all his money in the game." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the non-literal context of the riddle and provides a clear, concise explanation that connects all elements of the puzzle." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly maps each clue\u2014the car, the hotel, and losing money\u2014to the board game scenario." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this classic riddle about Monopoly, accurately explaining all three clues: the car token, landing on a hotel, and losing money as a result." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the solution and perfectly breaks down how each key phrase in the riddle maps to a specific element of the game Monopoly." } }, "majority_correct": true, "avg_score": 5.0 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because this is the classic Monopoly riddle, and it clearly explains how pushing a car to a hotel leads to losing one's fortune in the game." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly scenario and clearly explains both key elements of the riddle - the car as a game token and losing fortune as losing in-game money." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing a car to a hotel can cause someone to lose all their money in the game." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution to this classic lateral thinking puzzle, with a clear and accurate explanation, though the explanation slightly oversimplifies by saying 'push' the token rather than simply moving it." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct because this is the classic Monopoly riddle, and it clearly explains how pushing a car to a hotel leads to losing one's fortune in the game." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly scenario and clearly explains both key elements of the riddle - the car as a game token and losing fortune as losing in-game money." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing a car to a hotel can cause someone to lose all their money in the game." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly solution to this classic lateral thinking puzzle, with a clear and accurate explanation, though the explanation slightly oversimplifies by saying 'push' the token rather than simply moving it." }, "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": 4.75 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response identifies the classic Monopoly riddle correctly and clearly explains how the car, hotel, and loss of fortune each map to elements of the game." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a Monopoly riddle and clearly explains all the key elements: the car token, pushing it along the board, landing on a hotel property, and paying rent to lose his fortune." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response identifies the classic Monopoly riddle correctly and clearly explains how each clue maps to the 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 with logical step-by-step reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the non-literal context and logically breaks down every phrase of the riddle to map it to the game of Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response identifies the classic Monopoly riddle correctly 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": 5, "reasoning": "The response correctly identifies this as a Monopoly riddle and clearly explains all the key elements: the car token, pushing it along the board, landing on a hotel property, and paying rent to lose his fortune." }, "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 identifies the classic Monopoly riddle correctly and clearly explains how each clue maps to the 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 with logical step-by-step reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the non-literal context and logically breaks down every phrase of the riddle to map it to the game of Monopoly." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response gives the standard correct solution to the riddle and clearly explains how the car, hotel, and lost fortune all map to Monopoly." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation with all key details: the car token, the hotel piece on a property, and losing money by paying rent to another player." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly solves the lateral thinking puzzle and provides a perfect explanation by breaking down how each element\u2014the car, hotel, and fortune\u2014maps directly to components of the game Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response identifies the intended Monopoly riddle answer and clearly explains how pushing the car token to a hotel leads to losing his fortune." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation and clearly explains all elements: the car token, the hotel piece, and losing money as rent payment." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer and provides a clear, concise explanation that links every part of the riddle to the game of Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response gives the standard correct solution to the riddle and clearly explains how the car, hotel, and lost fortune all map to Monopoly." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation with all key details: the car token, the hotel piece on a property, and losing money by paying rent to another player." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly solves the lateral thinking puzzle and provides a perfect explanation by breaking down how each element\u2014the car, hotel, and fortune\u2014maps directly to components of the game Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response identifies the intended Monopoly riddle answer and clearly explains how pushing the car token to a hotel leads to losing his fortune." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly explanation and clearly explains all elements: the car token, the hotel piece, and losing money as rent payment." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic answer and provides a clear, concise explanation that links every part of the riddle to the game of Monopoly." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how each clue maps to the board game scenario." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains each element of the riddle clearly, though it's slightly verbose for a simple riddle solution." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly solves the riddle and provides an excellent, well-structured explanation that breaks down each element of the wordplay." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and gives a coherent explanation linking the car, hotel, and losing his fortune to game mechanics." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains the key mechanics, though it slightly mischaracterizes the action as 'pushing/rolling dice' when the man is pushing his car token to a hotel space on the board." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly riddle and provides a clear, well-structured explanation that connects each element of the question to the game's mechanics." } } } ], "judges": { "openai/gpt-5.4:s0": { "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:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains each element of the riddle clearly, though it's slightly verbose for a simple riddle solution." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly solves the riddle and provides an excellent, well-structured explanation that breaks down each element of the wordplay." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and gives a coherent explanation linking the car, hotel, and losing his fortune to game mechanics." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly answer and explains the key mechanics, though it slightly mischaracterizes the action as 'pushing/rolling dice' when the man is pushing his car token to a hotel space on the board." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the Monopoly riddle and provides a clear, well-structured explanation that connects each element of the question to the game's mechanics." } }, "majority_correct": true, "avg_score": 4.5 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how pushing the car to a hotel leads to losing all his money." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle and provides a clear, well-structured step-by-step explanation of each element of the riddle (car as game piece, pushing as moving on board, hotel as property, losing fortune as paying rent/going bankrupt)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly solves the riddle by reinterpreting the ambiguous terms and provides a perfect, step-by-step explanation of how each part of the phrase logically points to the game of Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car to a hotel leads to losing his fortune." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle and clearly explains each element of the analogy (car token, pushing around the board, landing on a hotel property, and going bankrupt), demonstrating excellent reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic solution and perfectly explains how each element of the riddle maps to the Monopoly game scenario." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the Monopoly riddle and clearly explains how pushing the car to a hotel leads to losing all his money." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle and provides a clear, well-structured step-by-step explanation of each element of the riddle (car as game piece, pushing as moving on board, hotel as property, losing fortune as paying rent/going bankrupt)." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly solves the riddle by reinterpreting the ambiguous terms and provides a perfect, step-by-step explanation of how each part of the phrase logically points to the game of Monopoly." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the classic Monopoly riddle and clearly explains how pushing the car to a hotel leads to losing his fortune." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Monopoly riddle and clearly explains each element of the analogy (car token, pushing around the board, landing on a hotel property, and going bankrupt), demonstrating excellent reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the classic solution and perfectly explains how each element of the riddle maps to the Monopoly game scenario." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 1, "reasoning": "This is the classic Monopoly riddle where the man lands on a hotel and loses the game, so the response invents a real-world casino scenario instead of the intended answer." }, "anthropic/claude-sonnet-4-6": { "correct": false, "score": 2, "reasoning": "The correct answer is that this is a Monopoly game scenario where the man lands on a hotel on someone else's property and must pay rent, losing his fortune, but the response instead fabricates a literal scenario about running out of gas and gambling." }, "gemini/gemini-2.5-pro": { "correct": false, "score": 3, "reasoning": "The response provides a plausible literal story, but it is incorrect as it misses the classic lateral-thinking solution to the riddle, which is that the man was playing Monopoly." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 1, "reasoning": "The classic riddle\u2019s answer is that he is playing Monopoly and landed on a hotel, so the casino explanation is incorrect." }, "anthropic/claude-sonnet-4-6": { "correct": false, "score": 2, "reasoning": "The classic answer to this riddle is that the man is playing Monopoly - he pushed his car token to the hotel square and had to pay rent, losing all his money, but the response instead fabricated an unrelated casino explanation." }, "gemini/gemini-2.5-pro": { "correct": false, "score": 2, "reasoning": "The response misses the classic intended answer of the riddle, which is that the man is playing the board game Monopoly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 1, "reasoning": "This is the classic Monopoly riddle where the man lands on a hotel and loses the game, so the response invents a real-world casino scenario instead of the intended answer." }, "anthropic/claude-sonnet-4-6:s0": { "correct": false, "score": 2, "reasoning": "The correct answer is that this is a Monopoly game scenario where the man lands on a hotel on someone else's property and must pay rent, losing his fortune, but the response instead fabricates a literal scenario about running out of gas and gambling." }, "gemini/gemini-2.5-pro:s0": { "correct": false, "score": 3, "reasoning": "The response provides a plausible literal story, but it is incorrect as it misses the classic lateral-thinking solution to the riddle, which is that the man was playing Monopoly." }, "openai/gpt-5.4:s1": { "correct": false, "score": 1, "reasoning": "The classic riddle\u2019s answer is that he is playing Monopoly and landed on a hotel, so the casino explanation is incorrect." }, "anthropic/claude-sonnet-4-6:s1": { "correct": false, "score": 2, "reasoning": "The classic answer to this riddle is that the man is playing Monopoly - he pushed his car token to the hotel square and had to pay rent, losing all his money, but the response instead fabricated an unrelated casino explanation." }, "gemini/gemini-2.5-pro:s1": { "correct": false, "score": 2, "reasoning": "The response misses the classic intended answer of the riddle, which is that the man is playing the board game Monopoly." } }, "majority_correct": false, "avg_score": 1.83 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "code-1": { "prompt": "What does this function return for input 5? def f(n): return n if n <= 1 else f(n-1) + f(n-2)", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, computes the base cases and recursive values accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci recurrence, traces through all values from f(0) to f(5) accurately, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci sequence and shows a perfect, step-by-step calculation from the base cases to the final, correct answer." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, accurately expands the needed calls, and computes f(5) = 5 with clear and valid reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces through all recursive calls systematically, 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 it presents the solution as a bottom-up calculation rather than showing the true, less efficient recursive call tree." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, computes the base cases and recursive values accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci recurrence, traces through all values from f(0) to f(5) accurately, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci sequence and shows a perfect, step-by-step calculation from the base cases to the final, correct answer." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, accurately expands the needed calls, and computes f(5) = 5 with clear and valid reasoning." }, "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, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is very clear and logically sound, but it presents the solution as a bottom-up calculation rather than showing the true, less efficient recursive call tree." } }, "majority_correct": true, "avg_score": 4.83 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci recurrence, computes the needed subvalues accurately, 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 pattern, properly applies the base cases, and systematically computes each value bottom-up to arrive at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function's recursive nature and base cases, then follows a clear, logical, step-by-step calculation to arrive at the correct result." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci with base cases f(0)=0 and f(1)=1, computes the intermediate values accurately, and concludes that f(5)=5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the base cases, traces through each recursive call step by step, and arrives at the correct answer of 5 for f(5)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci sequence and provides a flawless, clear, step-by-step calculation from the base cases to the final result." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci recurrence, computes the needed subvalues accurately, and arrives at the correct return value of 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive Fibonacci pattern, properly applies the base cases, and systematically computes each value bottom-up to arrive at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function's recursive nature and base cases, then follows a clear, logical, step-by-step calculation to arrive at the correct result." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci with base cases f(0)=0 and f(1)=1, computes the intermediate values accurately, and concludes that f(5)=5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the base cases, traces through each recursive call step by step, and arrives at the correct answer of 5 for f(5)." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci sequence and provides a flawless, clear, step-by-step calculation from the base cases to the final result." } }, "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 identifies the function as Fibonacci, accurately traces the recursive calls from the base cases, and gives the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, properly traces all recursive calls step by step, arrives at the correct answer 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" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and concludes that f(5) = 5 with clear and valid reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces all recursive calls systematically, builds results bottom-up in a clear table, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls from the base cases, and gives the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, properly traces all recursive calls step by step, arrives at the correct answer of 5, and provides helpful context about the Fibonacci sequence." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and concludes that f(5) = 5 with clear and valid reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces all recursive calls systematically, builds results bottom-up in a clear table, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and computes f(5) = 5 with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as a Fibonacci sequence, accurately traces all recursive calls, builds back up to the correct answer of 5, and presents the reasoning in a clear, well-structured manner." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the recursive calls accurately, and computes f(5) = 5 without errors." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci function, provides a clear and accurate step-by-step trace of the recursion, 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 trace simplifies the recursive calls rather than showing the full execution tree which includes redundant computations." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, traces the recursive calls accurately, and computes f(5) = 5 with clear step-by-step reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as a Fibonacci sequence, accurately traces all recursive calls, builds back up to the correct answer of 5, and presents the reasoning in a clear, well-structured manner." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the Fibonacci recurrence, traces the recursive calls accurately, and computes f(5) = 5 without errors." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the Fibonacci function, provides a clear and accurate step-by-step trace of the recursion, 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 the trace simplifies the recursive calls rather than showing the full execution tree which includes redundant computations." } }, "majority_correct": true, "avg_score": 4.8 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, traces the recursive calls 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 Fibonacci, traces through all recursive calls accurately with proper base cases, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning correctly traces the recursive calls with accurate calculations, but the presentation of the trace is slightly disorganized and redundant." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls for f(5), and arrives at the correct result of 5 with clear reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, provides a clear and accurate step-by-step trace showing all recursive calls with base cases, arrives at the correct answer of 5, and helpfully contextualizes it within the Fibonacci sequence." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is correct and the trace is mostly clear, but the presentation of the final calculation step is slightly confusing." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the recursive function as Fibonacci, traces the recursive calls 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 Fibonacci, traces through all recursive calls accurately 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 correctly traces the recursive calls with accurate calculations, but the presentation of the trace is slightly disorganized and redundant." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces the recursive calls for f(5), and arrives at the correct result of 5 with clear reasoning." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci, provides a clear and accurate step-by-step trace showing all recursive calls with base cases, arrives at the correct answer of 5, and helpfully contextualizes it within the Fibonacci sequence." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is correct and the trace is mostly clear, but the presentation of the final calculation step is slightly confusing." } }, "majority_correct": true, "avg_score": 4.67 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly traces the recursive Fibonacci computation for input 5 step by step to reach the correct result of 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as a Fibonacci implementation, accurately traces through all recursive calls step by step, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is very good and correctly traces the logic to the right answer, but it slightly misrepresents the actual computer execution by implying values are reused rather than recomputed in separate recursive branches." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci-style recursion, traces the base cases and recursive calls accurately, and concludes with the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls, arrives at the correct answer of 5, and provides clear step-by-step reasoning, though the ASCII tree diagram is somewhat messy and redundant given the already thorough textual explanation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function's behavior, provides a flawless step-by-step trace of the recursive calls, and uses a clear visual diagram to reinforce the explanation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct and clearly traces the recursive Fibonacci computation for input 5 step by step to reach the correct result of 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as a Fibonacci implementation, accurately traces through all recursive calls step by step, and arrives at the correct answer of 5." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is very good and correctly traces the logic to the right answer, but it slightly misrepresents the actual computer execution by implying values are reused rather than recomputed in separate recursive branches." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci-style recursion, traces the base cases and recursive calls accurately, and concludes with the correct result f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the function as Fibonacci, accurately traces all recursive calls, arrives at the correct answer of 5, and provides clear step-by-step reasoning, though the ASCII tree diagram is somewhat messy and redundant given the already thorough textual explanation." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function's behavior, provides a flawless step-by-step trace of the recursive calls, and uses a clear visual diagram to reinforce the explanation." } }, "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 identifies the function as Fibonacci-style recursion, traces the needed base cases and recursive values accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a Fibonacci-like function, carefully traces all recursive calls step by step, properly resolves base cases (f(0)=0, f(1)=1), and accurately computes f(5)=5 by substituting values back up the call stack." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the base cases and systematically traces the recursive calls, clearly showing how the final result is calculated by substituting the values back up the call stack." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the recursive Fibonacci definition, traces the base cases and recursive calls accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly 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 perfectly traces the recursive function's logic, correctly identifying the base cases and systematically building up the result to the correct final answer." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as Fibonacci-style recursion, traces the needed base cases and recursive values accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies this as a Fibonacci-like function, carefully traces all recursive calls step by step, properly resolves base cases (f(0)=0, f(1)=1), and accurately computes f(5)=5 by substituting values back up the call stack." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the base cases and systematically traces the recursive calls, clearly showing how the final result is calculated by substituting the values back up the call stack." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the function as the recursive Fibonacci definition, traces the base cases and recursive calls accurately, and concludes that f(5) = 5." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly traces the recursive execution step by step, accurately 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 perfectly traces the recursive function's logic, correctly identifying the base cases and systematically building up the result to the correct final answer." } }, "majority_correct": true, "avg_score": 5.0 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "ambiguity-1": { "prompt": "The trophy doesn't fit in the suitcase because it's too big. What is too big?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by identifying the trophy as the item that is too big to fit in the suitcase, and the explanation is clear and logically sound." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical reasoning based on the sentence structure, though the explanation is straightforward and doesn't require deep analysis." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the logical constraint of the situation\u2014an object not fitting implies the object is too large or the container is too small\u2014to resolve the ambiguity." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "\"Too big\" correctly refers to the trophy, since the object that does not fit is the one described as too big." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the object that is too big, which is the logical interpretation since the trophy is what doesn't fit in the suitcase, though the explanation lacks elaboration on the reasoning process." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguity by applying real-world logic; if the suitcase were too big, the trophy would fit." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by identifying the trophy as the item that is too big to fit in the suitcase, and the explanation is clear and logically sound." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical reasoning based on the sentence structure, though the explanation is straightforward and doesn't require deep analysis." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the logical constraint of the situation\u2014an object not fitting implies the object is too large or the container is too small\u2014to resolve the ambiguity." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "\"Too big\" correctly refers to the trophy, since the object that does not fit is the one described as too big." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the object that is too big, which is the logical interpretation since the trophy is what doesn't fit in the suitcase, though the explanation lacks elaboration on the reasoning process." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguity by applying real-world logic; if the suitcase were too big, the trophy would fit." } }, "majority_correct": true, "avg_score": 4.5 }, "openai/gpt-5.4-mini": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The pronoun 'it' refers to the trophy, since the object that does not fit because it is 'too big' is the item being placed in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it' refers to the trophy, as the trophy is the subject that cannot fit into the suitcase due to its size." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun's ambiguity by applying common-sense knowledge about physical objects and containers." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to the trophy, since the trophy being too big explains why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, using proper pronoun resolution to determine that 'it' refers to the trophy (the subject that cannot fit), not the suitcase." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by applying real-world logic about the physical relationship between an object and a container." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The pronoun 'it' refers to the trophy, since the object that does not fit because it is 'too big' is the item being placed in the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'it' refers to the trophy, as the trophy is the subject that cannot fit into the suitcase due to its size." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun's ambiguity by applying common-sense knowledge about physical objects and containers." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to the trophy, since the trophy being too big explains why it does not fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, using proper pronoun resolution to determine that 'it' refers to the trophy (the subject that cannot fit), not the suitcase." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by applying real-world logic about the physical relationship between an object and a container." } }, "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 checking which noun being too big would logically explain the trophy not fitting, and its explanation is clear and sound." }, "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 eliminating the alternative interpretation and explaining why the trophy being too big is the only coherent explanation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the two possible referents and uses a flawless process of elimination by testing the logical consequence of each possibility." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by considering both referents and choosing 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, using clear logical elimination to rule out the suitcase interpretation and confirm the trophy interpretation." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, as it correctly identifies the ambiguity and uses a flawless process of elimination by testing the logical validity of each possibility." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by checking which noun being too big would logically explain the trophy not fitting, and its explanation is clear and sound." }, "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 eliminating the alternative interpretation and explaining why the trophy being too big is the only coherent explanation." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the two possible referents and uses a flawless process of elimination by testing the logical consequence of each possibility." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by considering both referents and choosing 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, using clear logical elimination to rule out the suitcase interpretation and confirm the trophy interpretation." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent, as it correctly identifies the ambiguity and uses a flawless process of elimination by testing the logical validity of each possibility." } }, "majority_correct": true, "avg_score": 5.0 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun to the trophy and clearly explains that the item trying to fit is the one described as too big." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical reasoning by explaining that the object needing to fit (the trophy) is what's described as too big, not the container (the suitcase)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the physical and logical constraints of the situation to accurately resolve the pronoun's antecedent." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by identifying that the trophy is the object that is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'it' through logical reasoning, since the trophy not fitting implies it is the oversized object, though the explanation is brief and could elaborate more on the pronoun resolution logic." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent of the pronoun based on the logical context of the sentence, though it doesn't explicitly explain why the alternative (the suitcase) is nonsensical." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun to the trophy and clearly explains that the item trying to fit is the one described as too big." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big and provides clear, logical reasoning by explaining that the object needing to fit (the trophy) is what's described as too big, not the container (the suitcase)." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly identifies the physical and logical constraints of the situation to accurately resolve the pronoun's antecedent." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun by identifying that the trophy is the object that is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as the referent of 'it' through logical reasoning, since the trophy not fitting implies it is the oversized object, though the explanation is brief and could elaborate more on the pronoun resolution logic." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent of the pronoun based on the logical context of the sentence, though it doesn't explicitly explain why the alternative (the suitcase) is nonsensical." } }, "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' to the trophy and gives a clear causal explanation that the trophy is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big, with sound reasoning about pronoun reference, though the explanation slightly oversimplifies by calling trophy the 'subject' when it's actually the object of the main clause." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent for the pronoun 'it' and explains the logical context that the object unable to fit is the one whose size is the problem." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because in this sentence 'it's' refers to the trophy, and the explanation accurately identifies the intended antecedent and causal relation." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The answer is correct and provides a reasonable explanation, though the claim that 'it' refers back to the trophy because it's 'the subject of the sentence' is slightly imprecise\u2014the trophy is actually the subject's noun phrase, and the reasoning could better explain that contextually the trophy not fitting implies the trophy is the oversized item, but the conclusion is sound." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is strong, correctly identifying the antecedent of the pronoun and its grammatical role, but it doesn't acknowledge or dismantle the alternative, illogical interpretation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it' to the trophy and gives a clear causal explanation that the trophy is too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big, with sound reasoning about pronoun reference, though the explanation slightly oversimplifies by calling trophy the 'subject' when it's actually the object of the main clause." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the antecedent for the pronoun 'it' and explains the logical context that the object unable to fit is the one whose size is the problem." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response is correct because in this sentence 'it's' refers to the trophy, and the explanation accurately identifies the intended antecedent and causal relation." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The answer is correct and provides a reasonable explanation, though the claim that 'it' refers back to the trophy because it's 'the subject of the sentence' is slightly imprecise\u2014the trophy is actually the subject's noun phrase, and the reasoning could better explain that contextually the trophy not fitting implies the trophy is the oversized item, but the conclusion is sound." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is strong, correctly identifying the antecedent of the pronoun and its grammatical role, but it doesn't acknowledge or dismantle the alternative, illogical interpretation." } }, "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 identifies the correct referent of 'it' as the trophy and gives clear, logically sound reasoning showing why the trophy, not the suitcase, is too big." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trophy as too big and provides clear logical reasoning, including a helpful counter-argument about why the suitcase being 'too big' doesn't make sense, though the explanation is slightly verbose for a straightforward pronoun resolution task." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly uses real-world physical logic to resolve the ambiguity of the pronoun 'it' and strengthens its conclusion by explaining the alternative scenario." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to 'the trophy,' which is the object too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'the trophy' is too big, as the pronoun 'it' logically refers to the trophy being too large to fit in the suitcase, demonstrating clear pronoun resolution reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun ambiguity in the sentence, providing a direct and accurate answer without unnecessary explanation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response identifies the correct referent of 'it' as the trophy and gives clear, logically sound reasoning showing why the trophy, not the suitcase, 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 clear logical reasoning, including a helpful counter-argument about why the suitcase being 'too big' doesn't make sense, though the explanation is slightly verbose for a straightforward pronoun resolution task." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The reasoning is excellent because it correctly uses real-world physical logic to resolve the ambiguity of the pronoun 'it' and strengthens its conclusion by explaining the alternative scenario." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly resolves the pronoun 'it's' to 'the trophy,' which is the object too big to fit in the suitcase." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies that 'the trophy' is too big, as the pronoun 'it' logically refers to the trophy being too large to fit in the suitcase, demonstrating clear pronoun resolution reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun ambiguity in the sentence, providing a direct and accurate answer without unnecessary explanation." } }, "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 is correct because in the sentence the thing that does not fit due to being 'too big' is the trophy, matching the commonsense interpretation of the pronoun." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, as the pronoun 'it' refers to the trophy being the reason it doesn't fit in the suitcase." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by applying common-sense knowledge about the physical relationship between objects." } } }, { "sample_index": 1, "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, and the reasoning cleanly resolves the pronoun." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, using proper pronoun resolution to determine that 'it' refers to the trophy (the subject that cannot fit) rather than the suitcase." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun's ambiguity using common-sense reasoning, though it doesn't explicitly explain why the alternative (the suitcase) is illogical." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct because in the sentence the thing that does not fit due to being 'too big' is the trophy, matching the commonsense interpretation of the pronoun." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, as the pronoun 'it' refers to the trophy being the reason it doesn't fit in the suitcase." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the ambiguous pronoun 'it' by applying common-sense knowledge about the physical relationship between objects." }, "openai/gpt-5.4:s1": { "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, and the reasoning cleanly resolves the pronoun." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the trophy as too big, using proper pronoun resolution to determine that 'it' refers to the trophy (the subject that cannot fit) rather than the suitcase." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly resolves the pronoun's ambiguity using common-sense reasoning, though it doesn't explicitly explain why the alternative (the suitcase) is illogical." } }, "majority_correct": true, "avg_score": 4.67 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } }, "common-sense-1": { "prompt": "How many times can you subtract 5 from 25?", "evaluations": { "openai/gpt-5.4": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because it identifies the riddle\u2019s intended interpretation: 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 expected '5 times'." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is strong because it correctly interprets the question as a literal word puzzle and clearly explains that the number is no longer 25 after the first subtraction." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle's intended logic that you can subtract 5 from 25 only once, because after the first subtraction the number is no longer 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question and explains the logic clearly, though it's a well-known riddle with a straightforward answer that doesn't require deep reasoning." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is excellent as it correctly identifies the semantic trick in the question, explaining that the original number changes after the first operation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct because it identifies the riddle\u2019s intended interpretation: 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 in the question and provides a clear, logical explanation for why the answer is 'once' rather than the expected '5 times'." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is strong because it correctly interprets the question as a literal word puzzle and clearly explains that the number is no longer 25 after the first subtraction." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle's intended logic that you can subtract 5 from 25 only once, because after the first subtraction the number is no longer 25." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question and explains the logic clearly, though it's a well-known riddle with a straightforward answer that doesn't require deep reasoning." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The reasoning is excellent as it correctly identifies the semantic trick in the question, explaining that the original number changes after the first operation." } }, "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 interprets the riddle that you can subtract 5 from 25 only once, because after the first subtraction you are subtracting from 20, not 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question - that you can only subtract 5 'from 25' once since after the first subtraction the number is no longer 25 - and explains the logic clearly and concisely." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is very strong because it precisely explains the literal, 'riddle' interpretation of the question by focusing on the phrase 'from 25'." } } }, { "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, after which you are subtracting from 20, not 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick answer (once, because after the first subtraction you no longer have 25), and provides a clear explanation, though the reasoning could be stated more concisely." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The reasoning correctly identifies the literal interpretation of the question, which is the key to this classic riddle, and explains it perfectly." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response correctly interprets the riddle that you can subtract 5 from 25 only once, because after the first subtraction you are subtracting from 20, not 25." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick in the question - that you can only subtract 5 'from 25' once since after the first subtraction the number is no longer 25 - and explains the logic clearly and concisely." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is very strong because it precisely explains the literal, 'riddle' interpretation of the question by focusing on the phrase 'from 25'." }, "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, after which you are subtracting from 20, not 25." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick answer (once, because after the first subtraction you no longer have 25), and provides a clear explanation, though the reasoning could be stated more concisely." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 5, "reasoning": "The reasoning correctly identifies the literal interpretation of the question, which is the key to this classic riddle, and explains it perfectly." } }, "majority_correct": true, "avg_score": 4.5 }, "anthropic/claude-opus-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick in the question: after the first subtraction, you are no longer subtracting 5 from 25, so the answer is once." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick nature of the question and provides sound reasoning that after the first subtraction you're no longer working with 25, though it could be more concise." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "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; after that, it is from 20, 15, and so on." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies and explains the trick interpretation of the question, recognizing that 'from 25' means the base number changes after the first subtraction, though the explanation is slightly repetitive." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick in the question: after the first subtraction, you are no longer subtracting 5 from 25, so the answer is once." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the trick nature of the question and provides sound reasoning that after the first subtraction you're no longer working with 25, though it could be more concise." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "It correctly identifies the trick in the wording and clearly explains that only the first subtraction is from 25; after that, it is from 20, 15, and so on." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies and explains the trick interpretation of the question, recognizing that 'from 25' means the base number changes after the first subtraction, though the explanation is slightly repetitive." }, "gemini/gemini-2.5-pro:s1": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } }, "majority_correct": true, "avg_score": 4.5 }, "anthropic/claude-sonnet-4-6": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "The response acknowledges the intended trick answer but still concludes 5, whereas the standard interpretation of the question is 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 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 trick answer it mentions is actually the more traditionally intended 'riddle' answer rather than a bonus insight." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"The request timed out. Please try again.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "This is a 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 demonstrates through step-by-step subtraction that 5 can be subtracted from 25 exactly 5 times, though it misses the classic trick answer that you can only subtract 5 from 25 once (after that you're subtracting from 20, 15, etc.)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly answers the mathematical interpretation of the question with clear, step-by-step logic, but does not acknowledge the question's potential ambiguity as a riddle." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 2, "reasoning": "The response acknowledges the intended trick answer but still concludes 5, whereas the standard interpretation of the question is 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 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 trick answer it mentions is actually the more traditionally intended 'riddle' answer rather than a bonus insight." }, "gemini/gemini-2.5-pro:s0": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"The request timed out. Please try again.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" }, "openai/gpt-5.4:s1": { "correct": false, "score": 2, "reasoning": "This is a 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 demonstrates through step-by-step subtraction that 5 can be subtracted from 25 exactly 5 times, though it misses the classic trick answer that you can only subtract 5 from 25 once (after that you're subtracting from 20, 15, etc.)." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly answers the mathematical interpretation of the question with clear, step-by-step logic, but does not acknowledge the question's potential ambiguity as a riddle." } }, "majority_correct": true, "avg_score": 3.2 }, "anthropic/claude-haiku-4-5": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 1, "reasoning": "This is a trick question: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, not from 25." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies 5 as the answer with clear step-by-step subtraction and a helpful connection to division, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you subtract from 20, 15, etc.)." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and clearly demonstrated for the mathematical interpretation, but it does not address the question's potential ambiguity as a trick question." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": false, "score": 2, "reasoning": "This is a classic trick question: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, so the response misses the intended reasoning despite correct arithmetic." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies that 5 can be subtracted from 25 exactly 5 times, demonstrates the steps clearly, and provides the equivalent division as confirmation, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you're subtracting from 20, not 25)." }, "gemini/gemini-2.5-pro": { "error": "litellm.ServiceUnavailableError: GeminiException - {\n \"error\": {\n \"code\": 503,\n \"message\": \"This model is currently experiencing high demand. Spikes in demand are usually temporary. Please try again later.\",\n \"status\": \"UNAVAILABLE\"\n }\n}\n" } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": false, "score": 1, "reasoning": "This is a trick question: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, not from 25." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies 5 as the answer with clear step-by-step subtraction and a helpful connection to division, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you subtract from 20, 15, etc.)." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 4, "reasoning": "The reasoning is sound and clearly demonstrated for the mathematical interpretation, but it does not address the question's potential ambiguity as a trick question." }, "openai/gpt-5.4:s1": { "correct": false, "score": 2, "reasoning": "This is a classic trick question: you can subtract 5 from 25 only once, because after the first subtraction you are subtracting 5 from 20, so the response misses the intended reasoning despite correct arithmetic." }, "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, demonstrates the steps clearly, and provides the equivalent division as confirmation, though it misses the classic trick answer that you can only subtract 5 from 25 once (after which you're subtracting from 20, not 25)." }, "gemini/gemini-2.5-pro: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": 3.0 }, "gemini/gemini-2.5-pro": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "It correctly identifies the intended riddle answer as once and appropriately notes the alternative arithmetic interpretation, showing clear and complete reasoning." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the classic riddle - the trick answer (once, since after that you're subtracting from 20) and the straightforward mathematical answer (5 times), with clear step-by-step verification of the latter." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response perfectly identifies the ambiguity in the question, providing clear and correct explanations for both the literal (riddle) interpretation and the standard mathematical one." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "It correctly identifies the intended riddle answer as once and appropriately notes the alternative arithmetic interpretation, showing clear and complete reasoning." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 5, "reasoning": "The response correctly identifies both interpretations of the classic riddle - the trick answer (once, since after that you're subtracting from 20) and the straightforward mathematical answer (5 times), with clear step-by-step verification of the latter." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response perfectly identifies the ambiguity in the question, providing clear and correct explanations for both the literal (riddle) interpretation and the standard mathematical one." } }, "majority_correct": true, "avg_score": 5.0 }, "gemini/gemini-2.5-flash": { "samples": [ { "sample_index": 0, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response is correct because it identifies both the literal arithmetic interpretation and the intended trick interpretation, clearly explaining why the common reasoning answer is that you can subtract 5 from 25 only once." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies both interpretations of the question, providing the straightforward mathematical answer of 5 times and the classic trick answer of once, with clear step-by-step justification for each." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly identifies the ambiguity in the question and provides clear, well-explained answers for both the mathematical and the literal interpretations." } } }, { "sample_index": 1, "verdicts": { "openai/gpt-5.4": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle\u2019s intended logic that only the first subtraction is from 25, and the explanation is clear and sound." }, "anthropic/claude-sonnet-4-6": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the riddle's trick answer and provides a clear, logical explanation for why you can only subtract 5 from 25 once, though it's a well-known riddle so the reasoning isn't particularly deep." }, "gemini/gemini-2.5-pro": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the question as a riddle and provides a clear, logical explanation for its answer, though it doesn't acknowledge the alternative mathematical interpretation." } } } ], "judges": { "openai/gpt-5.4:s0": { "correct": true, "score": 5, "reasoning": "The response is correct because it identifies both the literal arithmetic interpretation and the intended trick interpretation, clearly explaining why the common reasoning answer is that you can subtract 5 from 25 only once." }, "anthropic/claude-sonnet-4-6:s0": { "correct": true, "score": 4, "reasoning": "The response correctly identifies both interpretations of the question, providing the straightforward mathematical answer of 5 times and the classic trick answer of once, with clear step-by-step justification for each." }, "gemini/gemini-2.5-pro:s0": { "correct": true, "score": 5, "reasoning": "The response is excellent because it correctly identifies the ambiguity in the question and provides clear, well-explained answers for both the mathematical and the literal interpretations." }, "openai/gpt-5.4:s1": { "correct": true, "score": 5, "reasoning": "The response correctly identifies the riddle\u2019s intended logic that only the first subtraction is from 25, and the explanation is clear and sound." }, "anthropic/claude-sonnet-4-6:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the riddle's trick answer and provides a clear, logical explanation for why you can only subtract 5 from 25 once, though it's a well-known riddle so the reasoning isn't particularly deep." }, "gemini/gemini-2.5-pro:s1": { "correct": true, "score": 4, "reasoning": "The response correctly identifies the question as a riddle and provides a clear, logical explanation for its answer, though it doesn't acknowledge the alternative mathematical interpretation." } }, "majority_correct": true, "avg_score": 4.5 }, "ollama/llama3": { "samples": [], "judges": {}, "majority_correct": null, "avg_score": null } } } } }