Enigmata: Scaling Logical Reasoning in Large Language Models with Synthetic Verifiable Puzzles

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Hauptverfasser: Chen, Jiangjie, He, Qianyu, Yuan, Siyu, Chen, Aili, Cai, Zhicheng, Dai, Weinan, Yu, Hongli, Yu, Qiying, Li, Xuefeng, Chen, Jiaze, Zhou, Hao, Wang, Mingxuan
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Veröffentlicht: 2025
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author Chen, Jiangjie
He, Qianyu
Yuan, Siyu
Chen, Aili
Cai, Zhicheng
Dai, Weinan
Yu, Hongli
Yu, Qiying
Li, Xuefeng
Chen, Jiaze
Zhou, Hao
Wang, Mingxuan
author_facet Chen, Jiangjie
He, Qianyu
Yuan, Siyu
Chen, Aili
Cai, Zhicheng
Dai, Weinan
Yu, Hongli
Yu, Qiying
Li, Xuefeng
Chen, Jiaze
Zhou, Hao
Wang, Mingxuan
contents Large Language Models (LLMs), such as OpenAI's o1 and DeepSeek's R1, excel at advanced reasoning tasks like math and coding via Reinforcement Learning with Verifiable Rewards (RLVR), but still struggle with puzzles solvable by humans without domain knowledge. We introduce Enigmata, the first comprehensive suite tailored for improving LLMs with puzzle reasoning skills. It includes 36 tasks across seven categories, each with 1) a generator that produces unlimited examples with controllable difficulty and 2) a rule-based verifier for automatic evaluation. This generator-verifier design supports scalable, multi-task RL training, fine-grained analysis, and seamless RLVR integration. We further propose Enigmata-Eval, a rigorous benchmark, and develop optimized multi-task RLVR strategies. Our trained model, Qwen2.5-32B-Enigmata, consistently surpasses o3-mini-high and o1 on the puzzle reasoning benchmarks like Enigmata-Eval, ARC-AGI (32.8%), and ARC-AGI 2 (0.6%). It also generalizes well to out-of-domain puzzle benchmarks and mathematical reasoning, with little multi-tasking trade-off. When trained on larger models like Seed1.5-Thinking (20B activated parameters and 200B total parameters), puzzle data from Enigmata further boosts SoTA performance on advanced math and STEM reasoning tasks such as AIME (2024-2025), BeyondAIME and GPQA (Diamond), showing nice generalization benefits of Enigmata. This work offers a unified, controllable framework for advancing logical reasoning in LLMs. Resources of this work can be found at https://seed-enigmata.github.io.
format Preprint
id arxiv_https___arxiv_org_abs_2505_19914
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Enigmata: Scaling Logical Reasoning in Large Language Models with Synthetic Verifiable Puzzles
Chen, Jiangjie
He, Qianyu
Yuan, Siyu
Chen, Aili
Cai, Zhicheng
Dai, Weinan
Yu, Hongli
Yu, Qiying
Li, Xuefeng
Chen, Jiaze
Zhou, Hao
Wang, Mingxuan
Computation and Language
Artificial Intelligence
Large Language Models (LLMs), such as OpenAI's o1 and DeepSeek's R1, excel at advanced reasoning tasks like math and coding via Reinforcement Learning with Verifiable Rewards (RLVR), but still struggle with puzzles solvable by humans without domain knowledge. We introduce Enigmata, the first comprehensive suite tailored for improving LLMs with puzzle reasoning skills. It includes 36 tasks across seven categories, each with 1) a generator that produces unlimited examples with controllable difficulty and 2) a rule-based verifier for automatic evaluation. This generator-verifier design supports scalable, multi-task RL training, fine-grained analysis, and seamless RLVR integration. We further propose Enigmata-Eval, a rigorous benchmark, and develop optimized multi-task RLVR strategies. Our trained model, Qwen2.5-32B-Enigmata, consistently surpasses o3-mini-high and o1 on the puzzle reasoning benchmarks like Enigmata-Eval, ARC-AGI (32.8%), and ARC-AGI 2 (0.6%). It also generalizes well to out-of-domain puzzle benchmarks and mathematical reasoning, with little multi-tasking trade-off. When trained on larger models like Seed1.5-Thinking (20B activated parameters and 200B total parameters), puzzle data from Enigmata further boosts SoTA performance on advanced math and STEM reasoning tasks such as AIME (2024-2025), BeyondAIME and GPQA (Diamond), showing nice generalization benefits of Enigmata. This work offers a unified, controllable framework for advancing logical reasoning in LLMs. Resources of this work can be found at https://seed-enigmata.github.io.
title Enigmata: Scaling Logical Reasoning in Large Language Models with Synthetic Verifiable Puzzles
topic Computation and Language
Artificial Intelligence
url https://arxiv.org/abs/2505.19914