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Instruct5 (500 Zebra Puzzles)

Overview

This synthetic micro-dataset consists of 577 pure logic deduction traces (5x5 zebra puzzles), split into 500 training examples and 77 validation examples. It features strictly logic grid puzzles and includes zero mathematical data.

It was created to demonstrate how fine-tuning small base models on dense, long-form logic traces can elicit substantial out-of-domain reasoning generalization (e.g., boosting performance on MATH-500 and AIME).

For full training details and reproduction scripts, see the PCSS GitHub Repository.

Data Generation & Cost

The dataset was generated using Qwen3-235B-A22B-Instruct-2507 (served in FP8 via DeepInfra in September 2025). We employed rejection sampling using a correctness verifier.

Total API usage for the entire generation process:

  • Total Cost: $4.31 ($0.06 Input, $4.25 Output)
  • Input Tokens: 434,379 ($0.13 / 1M tokens)
  • Output Tokens: 7,075,393 ($0.60 / 1M tokens)

(Note: These figures represent the total bill for this model that month. They serve as a strict upper bound, capturing all test runs and discarded samples rather than just the tokens in the final dataset.)

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