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metadata
license: cc-by-nc-sa-4.0
language:
  - en
pretty_name: ProofRank Annotated Examples
size_categories:
  - n<1K
tags:
  - mathematics
  - proof-evaluation
  - llm-as-a-judge
  - pairwise-comparison
  - qualitative-analysis
configs:
  - config_name: default
    data_files:
      - split: train
        path: data/examples.jsonl

ProofRank: Annotated Pairwise Comparison Examples


We include eight pairs of LLM-written solutions from the human annotation study of ProofRank, each with the problem, both solutions, the annotators' verdicts, and a commentary for the case studies given in the paper:

  • clear_cut_1--clear_cut_4: pairs on which both annotators independently reached the same verdicts.
  • contentious_1--contentious_4: pairs on which the annotators split, or on which the LLM judge (GPT-OSS-120B) disagreed with them.

Files

File Content
data/examples.jsonl One row per example (fields below); this is the machine-readable version.
examples_agreement.md The four clear-cut examples, rendered as markdown.
EXAMPLES.md The four contentious examples, rendered as markdown.
Column Type Description
example_id string clear_cut_<n> or contentious_<n>.
group string clear_cut or contentious.
title string Short description of what the example illustrates.
problem_id string Problem identifier in ProofRank.
solution_1_model, solution_2_model string Models that wrote the two solutions.
content_markdown string Problem, both solutions, annotator verdicts and commentary, as markdown.

Licensing

The problems are drawn from publicly available mathematics competitions and previously released benchmarks, and the human-written reference solutions are collected from public Art of Problem Solving posts and official competition materials. We abide by the sources' terms and conditions and redistribute this material under CC BY-NC-SA 4.0 - see LICENSE - for non-commercial research use and with proper credit to the original competitions.

The terms of the original sources continue to apply to the redistributed text, independently of that license. Namely, for official competition problems and previously released benchmarks, they typically in the public domain or released under comparable conditions, which likewise forbid use of the material for training.

Accordingly, this data must not be used to train any AI model. Users are responsible for complying with the original terms that apply to each entry.

Work produced by us - code, results, and evaluation scripts - is published under the more permissive MIT license.

Citation

@inproceedings{petrov2026proofrank,
  title={Not All Proofs Are Equal: Evaluating {LLM} Proof Quality Beyond Correctness},
  author={Petrov, Ivo and Dekoninck, Jasper and Dimitrov, Dimitar I. and Vechev, Martin},
  booktitle={The Fortieth Annual Conference on Neural Information Processing Systems Evaluations and Datasets Track},
  year={2026},
  url={https://openreview.net/forum?id=Zf9xKiTAom}
}