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- ---
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- license: apache-2.0
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- configs:
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- - config_name: default
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- data_files:
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- - split: test
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- path: data/test-*
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- - split: test_with_solution
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- path: data/test_with_solution-*
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- dataset_info:
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- features:
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- - name: theorem_name
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- dtype: string
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- - name: natural_language
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- dtype: string
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- - name: answer
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- sequence: string
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- - name: source
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- dtype: string
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- - name: tag
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- dtype: string
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- - name: formal_statement
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- dtype: string
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- splits:
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- - name: test
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- num_bytes: 104379
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- num_examples: 100
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- - name: test_with_solution
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- num_bytes: 102493
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- num_examples: 100
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- download_size: 110307
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- dataset_size: 206872
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- ---
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
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+ ---
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+ license: mit
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+ configs:
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+ - config_name: default
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+ data_files:
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+ - split: test
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+ path: data/test-*
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+ - split: test_with_solution
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+ path: data/test_with_solution-*
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+ dataset_info:
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+ features:
12
+ - name: theorem_name
13
+ dtype: string
14
+ - name: natural_language
15
+ dtype: string
16
+ - name: answer
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+ sequence: string
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+ - name: source
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+ dtype: string
20
+ - name: tag
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+ dtype: string
22
+ - name: formal_statement
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+ dtype: string
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+ splits:
25
+ - name: test
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+ num_bytes: 104379
27
+ num_examples: 100
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+ - name: test_with_solution
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+ num_bytes: 102493
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+ num_examples: 100
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+ download_size: 110307
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+ dataset_size: 206872
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+ size_categories:
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+ - n<1K
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+ ---
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+
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+ # CombiBench
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+
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+ <p align="center">
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+ <a href="https://ahhwuhu.github.io/CombiBench/"><img src="https://img.shields.io/badge/%F0%9F%A4%96-website-87CEEB"></a>
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+ <a href="https://ahhwuhu.github.io/CombiBench/leaderboard.html"><img src="https://img.shields.io/badge/🏆-leaderboard-87CEEB"></a>
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+ </p>
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+
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+ CombiBench is the first benchmark focused on combinatorial problems, based on the formal language LEAN4. CombiBench is a manually produced benchmark, including 100 combinatorial mathematics problems of varying difficulty and knowledge levels. It aims to provide a benchmark for evaluating the combinatorial mathematics capabilities of automated theorem proving systems to advance the field. It is released under permissive licenses Apache 2.0 for Lean 4. For problems that require providing a solution first and then proving its correctness, we have referred to the style of PutnamBench.
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+
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+ We are hosting a [**leaderboard**](https://trishullab.github.io/PutnamBench/leaderboard.html) and will readily receive evaluation results which are accompanied by a preprint or publication. Please reach out privately at `[email protected]` with any requests for additions to the leaderboard.
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+
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+ If anyone notices any mistakes, please raise an issue on the repository and we will address it.
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+
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+ ## Statistics
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+
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+ We collected all combinatorics problems from the official IMO problems since 2000, except for one problem that relies on a figure. And We selected problems through random sampling from 14 chapters in the book, choosing 3 problems from each chapter, ensuring that the 42 problems are evenly distributed across all 14 chapters. We randomly selected 10 simple combinatorics problems at the middle school level from a mathematics problem collection website [hackmath](https://www.hackmath.net/). Then, we randomly collected 12 problems from other mathematics competitions.
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+
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+ | Source | Count |
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+ | ---------------- | -------------- |
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+ | Easy | 10 |
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+ | Brualdi's book | 42 |
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+ | IMO | 36 |
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+ | APMO | 2 |
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+ | Balticway | 1 |
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+ | EGMO | 1 |
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+ | IMO-Shortlist | 4 |
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+ | IZHO | 2 |
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+ | BXMO | 1 |
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+ | USAMO | 1 |
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+
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+ ## Evaluation
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+
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+ Our evaluation code is released at [https://github.com/MoonshotAI/CombiBench](https://github.com/MoonshotAI/CombiBench)