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Enrique
Enrique

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p28-zero-diff - Proving Zero Difficulty Benchmark

Kaggle Benchmarking Challenge Submission

This is a submission for the Kaggle Benchmarking Challenge

What I Benchmarked

I benchmarked p28-zero-diff, a minimal benchmark that formalizes the case where task difficulty is zero,

The capability I wanted to measure is whether a model can produce a valid zero-difficulty proof statement when prompted directly. I chose p28 because it is a known trivial case and a good sanity check for benchmark design.

Models Tested

This benchmark is model-agnostic and designed for any text-generation model.

For this submission I did not run a full model comparison yet - the notebook is a minimal template that proves the task structure itself (zero-difficulty check). The Kaggle Benchmark framework allows it to be run against any LLM lineup later.

Findings

My results:

  • The p28-zero-diff benchmark runs successfully on Kaggle and returns a score of 1.0
  • I verified that a zero-difficulty proof task is scorable without any solver or external API
  • Notebook link proves end-to-end execution

Main insights:

  • Not every benchmark needs to be hard - zero-difficulty tasks are useful as baseline sanity checks
  • The Kaggle Benchmark framework works even for minimal single-prompt tasks

What surprised me:

  • How trivial p28 becomes once formalized

What I'd measure next:

  • Run this template across p1-p50 to find all zero-difficulty cases
  • Add a second scorer for proof quality (not just generation success)

My Benchmark

https://www.kaggle.com/benchmarks/tasks/enrique6831/perfect-partition-28-zero-diff

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