README.md

metadata

license: apache-2.0
language:
  - en
pretty_name: ComBench
task_categories:
  - text-generation
tags:
  - mathematics
  - combinatorics
  - olympiad
  - reasoning
  - benchmark
paperswithcode_id: null

ComBench

ComBench is an Olympiad-level combinatorics benchmark for evaluating rigorous proof reasoning and constructive realization in large language models. It contains 100 human-annotated competition-level problems:

• 50 analysis-centric records in data/analysis.jsonl
• 50 construction-centric records in data/construction.jsonl

Construction-centric records additionally include explicit construction instructions, reference constructions, and deterministic Python verifiers.

Usage

Install the Hugging Face datasets package and load ComBench directly from the Hub:

from datasets import load_dataset

dataset = load_dataset("Simplified-Reasoning/ComBench")
print(dataset)

The dataset can also be loaded from the raw JSONL files in this repository:

from datasets import load_dataset

dataset = load_dataset(
    "json",
    data_files={
        "analysis": "data/analysis.jsonl",
        "construction": "data/construction.jsonl",
    },
)

Fields

Common fields:

• id: problem identifier used by ComBench.
• split: analysis or construction.
• source: normalized contest source identifier.
• category: primary combinatorics category.
• query: problem statement.
• ref_answer: reference final answer when a concise final answer is applicable.
• ref_solution: reference solution.
• grading_guidelines: rubric used for proof grading.

Construction-centric fields:

• instruction: explicit construction task.
• ref_construction: reference witness.
• verify_code: deterministic Python verifier for checking a construction.

Per-problem category metadata is also provided in metadata/categories.csv.

Safety Note

The verify_code field is executable Python code. It is released as benchmark metadata for deterministic construction verification. Execute it only in a sandboxed environment.

Links

• Paper: https://arxiv.org/abs/2606.10479
• Project page: https://simplified-reasoning.github.io/ComBench/docs/
• GitHub: https://github.com/Simplified-Reasoning/ComBench
• Hugging Face paper page: https://huggingface.co/papers/2606.10479

Citation

@misc{combench2026,
  title        = {ComBench: A Benchmark for Rigorous Proof Reasoning and Constructive Realization in Olympiad-Level Combinatorics},
  author       = {Zhang, Shunkai and Zhang, Haoran and Luo, Yun and Cheng, Qianjia and Lei, Haodi and Li, Yizhuo and Zhan, Runzhe and Wang, Zhilin and Xu, Bangjie and Su, Yucheng and Han, Xinmiao and Qu, Xiaoye and Liu, Dongrui and Lin, Zhouchen and Qiao, Yu and Ding, Ning and Li, Yafu and Cheng, Yu},
  year         = {2026},
  eprint       = {2606.10479},
  archivePrefix = {arXiv},
  primaryClass = {cs.AI},
  url          = {https://arxiv.org/abs/2606.10479}
}