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Datasets:
Simplified-Reasoning
/
ComBench

Tasks:
Text Generation
Languages:
English
ArXiv:
Tags:
mathematics
combinatorics
olympiad
reasoning
benchmark
License:
Dataset card Files
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  1. README.md +95 -0
  2. data/analysis.jsonl +0 -0
  3. data/construction.jsonl +0 -0
  4. metadata/categories.csv +101 -0
README.md CHANGED
@@ -1,3 +1,98 @@
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  ---
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  license: apache-2.0
 
 
 
 
 
 
 
 
 
 
 
 
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  ---
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
  ---
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  license: apache-2.0
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+ language:
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+ - en
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+ pretty_name: ComBench
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+ task_categories:
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+ - text-generation
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+ tags:
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+ - mathematics
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+ - combinatorics
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+ - olympiad
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+ - reasoning
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+ - benchmark
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+ paperswithcode_id:
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  ---
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+
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+ # ComBench
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+
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+ ComBench is an Olympiad-level combinatorics benchmark for evaluating rigorous
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+ proof reasoning and constructive realization in large language models. It
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+ contains 100 human-annotated competition-level problems:
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+
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+ - 50 analysis-centric records in `data/analysis.jsonl`
24
+ - 50 construction-centric records in `data/construction.jsonl`
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+
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+ Construction-centric records additionally include explicit construction
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+ instructions, reference constructions, and deterministic Python verifiers.
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+
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+ ## Usage
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+
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+ ```python
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+ from datasets import load_dataset
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+
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+ dataset = load_dataset("PKUShunkai/ComBench")
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+ print(dataset)
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+ ```
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+
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+ The dataset can also be loaded from raw JSONL files:
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+
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+ ```python
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+ from datasets import load_dataset
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+
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+ dataset = load_dataset(
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+ "json",
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+ data_files={
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+ "analysis": "data/analysis.jsonl",
47
+ "construction": "data/construction.jsonl",
48
+ },
49
+ )
50
+ ```
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+
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+ ## Fields
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+
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+ Common fields:
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+
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+ - `id`: problem identifier used by ComBench.
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+ - `split`: `analysis` or `construction`.
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+ - `source`: normalized contest source identifier.
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+ - `category`: primary combinatorics category.
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+ - `query`: problem statement.
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+ - `ref_answer`: reference final answer when a concise final answer is applicable.
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+ - `ref_solution`: reference solution.
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+ - `grading_guidelines`: rubric used for proof grading.
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+
65
+ Construction-centric fields:
66
+
67
+ - `instruction`: explicit construction task.
68
+ - `ref_construction`: reference witness.
69
+ - `verify_code`: deterministic Python verifier for checking a construction.
70
+
71
+ Per-problem category metadata is also provided in `metadata/categories.csv`.
72
+
73
+ ## Safety Note
74
+
75
+ The `verify_code` field is executable Python code. It is released as benchmark
76
+ metadata for deterministic construction verification. Execute it only in a
77
+ sandboxed environment.
78
+
79
+ ## Links
80
+
81
+ - Paper: https://arxiv.org/abs/2606.10479
82
+ - Project page: https://simplified-reasoning.github.io/ComBench/docs/
83
+ - GitHub: https://github.com/Simplified-Reasoning/ComBench
84
+ - Hugging Face paper page: https://huggingface.co/papers/2606.10479
85
+
86
+ ## Citation
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+
88
+ ```bibtex
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+ @misc{combench2026,
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+ title = {ComBench: A Benchmark for Rigorous Proof Reasoning and Constructive Realization in Olympiad-Level Combinatorics},
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+ 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},
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+ year = {2026},
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+ eprint = {2606.10479},
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+ archivePrefix = {arXiv},
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+ primaryClass = {cs.AI},
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+ url = {https://arxiv.org/abs/2606.10479}
97
+ }
98
+ ```
data/analysis.jsonl ADDED
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metadata/categories.csv ADDED
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1
+ id,split,source,cb_id,category,secondary_category_raw,note
2
+ IMO2025_1,analysis,IMO-2025-P1,CB-3,Existence and Construction,Extremal Problems/最值问题,非构造
3
+ IMO2025_5,analysis,IMO-2025-P5,CB-2,Operations and Strategies,Counting/组合计数,非构造
4
+ IMO2024_3,analysis,IMO-2024-P3,CB-4,Extremal Problems,Existence and Construction /存在性问题,非构造
5
+ IMO2024_5,analysis,IMO-2024-P5,CB-5,Operations and Strategies,Operations and Strategies/策略性问题,非构造
6
+ IMO2022_1,analysis,IMO-2022-P1,CB-7,Operations and Strategies,,非构造
7
+ IMO2021_1,analysis,IMO-2021-P1,CB-9,Graph Theory,,非构造
8
+ IMO2021_5,analysis,IMO-2021-P5,CB-10,Operations and Strategies,,非构造
9
+ IMO2020_3,analysis,IMO-2020-P3,CB-11,Existence and Construction,,非构造
10
+ IMO2020_6,analysis,IMO-2020-P6,CB-13,Existence and Construction,,非构造
11
+ IMO2019_3,analysis,IMO-2019-P3,CB-14,Graph Theory,,非构造
12
+ IMO2019_5,analysis,IMO-2019-P5,CB-15,Operations and Strategies,,非构造
13
+ IMO2018_3,analysis,IMO-2018-P3,CB-16,Existence and Construction,,非构造
14
+ IMO2018_4,analysis,IMO-2018-P4,CB-17,Operations and Strategies,,非构造
15
+ IMO2017_3,analysis,IMO-2017-P3,CB-18,Operations and Strategies,,非构造
16
+ IMO2017_5,analysis,IMO-2017-P5,CB-19,Existence and Construction,,非构造
17
+ IMO2016_6,analysis,IMO-2016-P6,CB-21,Existence and Construction,,非构造
18
+ IMO2015_1,analysis,IMO-2015-P1,CB-22,Existence and Construction,,非构造
19
+ IMO2014_6,analysis,IMO-2014-P6,CB-24,Existence and Construction,,非构造
20
+ IMO2013_2,analysis,IMO-2013-P2,CB-25,Extremal Problems,,非构造
21
+ IMO2013_6,analysis,IMO-2013-P6,CB-26,Counting,,非构造
22
+ IMO2012_3,analysis,IMO-2012-P3,CB-27,Operations and Strategies,,非构造
23
+ IMO2011_2,analysis,IMO-2011-P2,CB-28,Operations and Strategies,,非构造
24
+ IMO2010_5,analysis,IMO-2010-P5,CB-29,Operations and Strategies,,非构造
25
+ IMO2009_6,analysis,IMO-2009-P6,CB-30,Existence and Construction,,非构造
26
+ IMO2008_5,analysis,IMO-2008-P5,CB-31,Counting,,非构造
27
+ USAMO2025_6,analysis,USAMO-2025-P6,CB-33,Existence and Construction,,非构造
28
+ USAMO2023_3,analysis,USAMO-2023-P3,CB-35,Existence and Construction,,非构造
29
+ USAMO2023_4,analysis,USAMO-2023-P4,CB-36,Operations and Strategies,,非构造
30
+ USAMO2023_5,analysis,USAMO-2023-P5,CB-37,Existence and Construction,,非构造
31
+ USAMO2021_2,analysis,USAMO-2021-P2,CB-39,Graph Theory,,非构造
32
+ TSTST2023_3,analysis,TSTST-2023-P3,CB-48,Existence and Construction,,非构造
33
+ TSTST2023_4,analysis,TSTST-2023-P4,CB-49,Graph Theory,,非构造
34
+ TSTST2022_5,analysis,TSTST-2022-P5,CB-50,Operations and Strategies,,非构造
35
+ TSTST2021_7,analysis,TSTST-2021-P7,CB-51,Counting,,非构造
36
+ TSTST2020_1,analysis,TSTST-2020-P1,CB-52,Extremal Problems,,非构造
37
+ TSTST2020_9,analysis,TSTST-2020-P9,CB-53,Graph Theory,,非构造
38
+ TSTST2019_3,analysis,TSTST-2019-P3,CB-54,Existence and Construction,,非构造
39
+ TSTST2019_8,analysis,TSTST-2019-P8,CB-55,Counting,,非构造
40
+ TSTST2018_2,analysis,TSTST-2018-P2,CB-56,Graph Theory,,非构造
41
+ TSTST2018_7,analysis,TSTST-2018-P7,CB-57,Extremal Problems,,非构造
42
+ TSTST2017_2,analysis,TSTST-2017-P2,CB-58,Operations and Strategies,,非构造
43
+ TSTST2016_5,analysis,TSTST-2016-P5,CB-59,Existence and Construction,,非构造
44
+ USATST2024_4,analysis,USATST-2024-P4,CB-60,Existence and Construction,,非构造
45
+ USATST2023_1,analysis,USATST-2023-P1,CB-61,Extremal Problems,,非构造
46
+ USATST2020_3,analysis,USATST-2020-P3,CB-62,Operations and Strategies,,非构造
47
+ USATST2019_3,analysis,USATST-2019-P3,CB-63,Existence and Construction,,非构造
48
+ USATST2018_4,analysis,USATST-2018-P4,CB-64,Extremal Problems,,非构造
49
+ USATST2017_1,analysis,USATST-2017-P1,CB-65,Extremal Problems,,非构造
50
+ USATST2017_4,analysis,USATST-2017-P4,CB-66,Operations and Strategies,,非构造
51
+ USATST2015_3,analysis,USATST-2015-P3,CB-67,Operations and Strategies,,非构造
52
+ IMO-2025-P6-23,construction,IMO-2025-P6,CB-1,Extremal Problems,Graph Theory /图论,构造
53
+ IMO-2023-P5-8,construction,IMO-2023-P5,CB-6,Extremal Problems,,构造
54
+ IMO-2022-P6,construction,IMO-2022-P6,CB-8,Extremal Problems,,构造
55
+ IMO-2020-P4-33,construction,IMO-2020-P4,CB-12,Graph Theory,,构造
56
+ IMO-2016-P2,construction,IMO-2016-P2,CB-20,Existence and Construction,,构造
57
+ IMO-2014-P2-233,construction,IMO-2014-P2,CB-23,Extremal Problems,,构造
58
+ IMO-2004-P3,construction,IMO-2004-P3,CB-32,Existence and Construction,,构造
59
+ USAMO-2024-P4,construction,USAMO-2024-P4,CB-34,Counting,,构造
60
+ USAMO-2022-P6-202,construction,USAMO-2022-P6,CB-38,Graph Theory,,构造
61
+ USAMO-2021-P3-81,construction,USAMO-2021-P3,CB-40,Operations and Strategies,,构造
62
+ USAMO-2020-P2,construction,USAMO-2020-P2,CB-41,Extremal Problems,,构造
63
+ USAMO-2020-P4-10,construction,USAMO-2020-P4,CB-42,Extremal Problems,,构造
64
+ USAMO-2009-P3-20-21,construction,USAMO-2009-P3,CB-43,Existence and Construction,,构造
65
+ USAMO-2001-P1,construction,USAMO-2001-P1,CB-44,Extremal Problems,,构造
66
+ USAMO-2000-P4,construction,USAMO-2000-P4,CB-45,Extremal Problems,,构造
67
+ TSTST-2024-P9-20,construction,TSTST-2024-P9,CB-46,Extremal Problems,,构造
68
+ TSTST-2023-P7,construction,TSTST-2023-P7,CB-47,Operations and Strategies,,构造
69
+ CTST-2022-P7-518,construction,CTST-2022-P7,CB-68,Existence and Construction,,构造
70
+ CTST-2018-P20,construction,CTST-2018-P20,CB-69,Extremal Problems,,构造
71
+ CMO-2018-P5-101,construction,CMO-2018-P5,CB-70,Operations and Strategies,,构造
72
+ CMO-2014-P5,construction,CMO-2014-P5,CB-71,Graph Theory,,构造
73
+ CMO-2012-P2,construction,CMO-2012-P2,CB-72,Counting,,构造
74
+ RMO-2024-P5,construction,RMO-2024-P5,CB-73,Extremal Problems,,构造
75
+ RMO-2019-P15,construction,RMO-2019-P15,CB-74,Existence and Construction,,构造
76
+ RMO-2018-P4-81,construction,RMO-2018-P4,CB-75,Existence and Construction,,构造
77
+ RMO-2017-P22,construction,RMO-2017-P22,CB-76,Extremal Problems,,构造
78
+ RMO-2009-P7,construction,RMO-2009-P7,CB-77,Extremal Problems,,构造
79
+ RMO-2009-P22,construction,RMO-2009-P22,CB-78,Extremal Problems,,构造
80
+ ELMO-2021-P3,construction,ELMO-2021-P3,CB-79,Extremal Problems,,构造
81
+ ELMO-2014-P6,construction,ELMO-2014-P6,CB-80,Extremal Problems,,构造
82
+ EMC-2017-P2,construction,EMC-2017-P2,CB-81,Extremal Problems,,构造
83
+ EMC-2021-P1,construction,EMC-2021-P1,CB-82,Extremal Problems,,构造
84
+ EGMO-2025-P5,construction,EGMO-2025-P5,CB-83,Operations and Strategies,,构造
85
+ EGMO-2019-P2-80,construction,EGMO-2019-P2,CB-84,Extremal Problems,,构造
86
+ EGMO-2016-P5,construction,EGMO-2016-P5,CB-85,Extremal Problems,,构造
87
+ APMO-2024-P2,construction,APMO-2024-P2,CB-86,Counting,,构造
88
+ APMO-2012-P2,construction,APMO-2012-P2,CB-87,Operations and Strategies,,构造
89
+ APMO-2007-P2,construction,APMO-2007-P2,CB-88,Extremal Problems,,构造
90
+ CSMO-2019-P12,construction,CSMO-2019-P12,CB-89,Existence and Construction,,构造
91
+ CSMO-2018-P14-789,construction,CSMO-2018-P14,CB-90,Graph Theory,,构造
92
+ CSMO-2004-P4,construction,CSMO-2004-P4,CB-91,Extremal Problems,,构造
93
+ CSMO-2004-P7,construction,CSMO-2004-P7,CB-92,Graph Theory,,构造
94
+ CGMO-2017-P8-10,construction,CGMO-2017-P8,CB-93,Operations and Strategies,,构造
95
+ CGMO-2015-P3,construction,CGMO-2015-P3,CB-94,Extremal Problems,,构造
96
+ CGMO-2007-P8,construction,CGMO-2007-P8,CB-95,Extremal Problems,,构造
97
+ IMOSLC-2023-P1,construction,IMOSLC-2023-P1,CB-96,Operations and Strategies,,构造
98
+ IMOSLC-2021-P2-100,construction,IMOSLC-2021-P2,CB-97,Extremal Problems,,构造
99
+ IMOSLC-2023-P4-150,construction,IMOSLC-2023-P4,CB-98,Extremal Problems,,构造
100
+ USEMO-2022-P1,construction,USEMO-2022-P1,CB-99,Extremal Problems,,构造
101
+ USEMO-2021-P6-448,construction,USEMO-2021-P6,CB-100,Extremal Problems,,构造