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This paper investigates the impact of data overlap between Supervised Fine-Tuning (SFT) and Group Relative Policy Optimization (GRPO) in the context of Lean 4 autoformalization using Qwen3-8B. The study ablates the degree of overlap (0%, 30%, 100%) between SFT and GRPO data, finding that lower overlap consistently leads to higher compilation and semantic accuracy on Gaokao-Formal and PutnamBench benchmarks. Specifically, a 0% overlap between SFT and GRPO yields a 10.4 percentage point semantic gain over SFT alone, highlighting the importance of disjoint datasets for effective post-training.
Don't reuse your SFT data for GRPO – keeping them separate boosts autoformalization performance by over 10% at no extra cost.
Supervised fine-tuning (SFT) followed by Group Relative Policy Optimization (GRPO) is a common post-training recipe. We conduct a controlled ablation over SFT-GRPO data overlap, evaluating Qwen3-8B (thinking disabled) post-trained for Lean 4 autoformalization under six conditions that differ solely in training recipe: a base model, SFT-only, GRPO-only, and three SFT+GRPO configurations where 0 percent, 30 percent, or 100 percent of the GRPO prompts coincide with the SFT corpus. Keeping SFT and GRPO data disjoint consistently outperforms full overlap at zero additional compute cost. Evaluating on Gaokao-Formal and PutnamBench under both compile pass at k and semantic pass at k assessed by an LLM judge, we find that lower overlap is monotonically associated with higher compilation and semantic accuracy. At 0 percent overlap, GRPO yields a 10.4 percentage point semantic gain over SFT alone on Gaokao, while at 100 percent overlap both metrics remain flat, rendering the GRPO stage effectively redundant. We further show that dual-metric evaluation reveals compile semantic gaps exceeding 30 percentage points for the highest compiling models, a disparity invisible under compile-only benchmarking. To our knowledge, this is the first controlled investigation of SFT-GRPO data overlap as a post-training hyperparameter, demonstrating how model behavior varies based on the degree of data sharing between training stages.