Reasoning
Reasoning #1

A cat knocks 3 things off a table every hour. The owner puts 2 things back every hour. There are 12 things on the table. When does the table become empty?

9 models responded

high10.0

Judge: Correct answer (12 hours) with clean, elegant reasoning. Immediately identifies the net rate (-1 per hour), applies simple division, and arrives at the answer. Clear step-by-step presentation with no unnecessary complexity.

Let's break down the changes per hour: * **Cat:** Knocks off 3 things (-3) * **Owner:** Puts back 2 things (+2) **Net change per hour:** -3 + 2 = -1 thing So, the table loses 1 thing per hour. ...
gemini/gemini-2.5-flash · 2026-03-02
GPT-4oOpenAI
high9.4

Judge: Correct answer of 12 hours with clean, elegant reasoning. Immediately identifies the net rate of -1 item/hour and applies it to the 12-item starting count. Clear mathematical presentation with no wasted steps.

To solve this, we need to calculate the net change in the number of things on the table each hour. The cat knocks off 3 things every hour, while the owner puts back 2 things each hour. Therefore, the ...
openai/gpt-4o · 2026-03-01
Phi-4Microsoft
high8.6

Judge: Correct answer (12 hours) with clean, step-by-step reasoning. Immediately identifies the net rate of -1 per hour and applies it to the starting count. The math is simple but airtight. Clear presentation with no unnecessary complexity.

To solve this problem, we need to determine how many hours it takes for the number of items on the table to reach zero. Initially, there are 12 things on the table. Every hour, the cat knocks 3 thing...
ollama/phi4 · 2026-03-01
Claude HaikuAnthropic
high8.4

Judge: Correct answer (12 hours) with clean, elegant reasoning. Immediately identifies the net rate of -1/hour, applies it clearly. Concise, well-structured, no unnecessary steps. Could have noted the assumption that both activities happen simultaneously, but the core reasoning is airtight.

# Table Emptying Problem Let me work through this step-by-step: **Net change per hour:** - Things knocked off: 3 - Things put back: 2 - Net loss: 1 thing per hour **Starting amount:** 12 things **...
anthropic/claude-haiku-4-5-20251001 · 2026-03-01
Claude OpusAnthropic
high8.0

Judge: Correct answer (12 hours) with clear step-by-step reasoning. Identifies the net rate of -1 item/hour immediately, then shows the full progression. The step-by-step enumeration is thorough but slightly verbose - could have been more elegant by just computing 12/1=12. Numeric answer provided. Solid and correct but not maximally elegant.

I need to track the net change in items on the table each hour. Given information: - Cat knocks off: 3 items per hour - Owner puts back: 2 items per hour - Starting items: 12 Net change per hour = i...
anthropic/claude-opus-4-20250514 · 2026-03-01
high8.0

Judge: Correct answer (12 hours) with clear step-by-step reasoning. Identifies the net rate of -1 item/hour immediately and applies it cleanly. The step-by-step format is a bit verbose for such a simple problem, but the math is sound and the explanation is clear.

## Step 1: Determine the net number of items knocked off or put back per hour. The cat knocks off 3 things, and the owner puts 2 things back each hour. ## Step 2: Calculate the difference in the numb...
ollama/llama3.1:8b · 2026-03-01
Claude SonnetAnthropic
high7.6

Judge: Correct answer (12 hours) with clear step-by-step reasoning. Identifies the net rate of -1 per hour immediately, then shows the hour-by-hour progression. The reasoning is thorough but somewhat verbose -- listing every single hour is overkill when you've already established the net rate. Clean and correct but not particularly elegant.

I need to track the net change in items on the table each hour. Starting items: 12 Items knocked off per hour: 3 Items put back per hour: 2 Net change per hour: -3 + 2 = -1 item per hour So the tabl...
anthropic/claude-sonnet-4-20250514 · 2026-03-01
o4-miniOpenAI
medium5.4

Judge: The model attempts a detailed sub-hour simulation and arrives at 11 hours 20 minutes. The rubric states the correct answer is 12 hours (net rate of 1 per hour). The model's micro-simulation approach is reasonable but its answer differs from the expected one. The reasoning is detailed and step-by-step, showing clear mathematical thinking, but the final answer doesn't match the rubric's expected answer of 12 hours.

If you model the cat as knocking one item off every 20 min (3 per hour) and the owner as putting one item back every 30 min (2 per hour), you get this schedule (starting at t = 0 with 12 items): • t ...
openai/o4-mini · 2026-03-02
DeepSeek R1DeepSeek
high0.0

Judge: Empty response. No answer or reasoning provided for the cat/table math problem.

Hard constraint failed: Empty response fails the hard constraint -- no numeric answer provided.
deepseek/deepseek-reasoner · 2026-03-02