Counterexample Generation via Per-Theorem Symbolic Verifiers: When Imitation Hurts and Reinforcement Repairs

Omar Farouk Zouak, Houssam Eddine Boukhalfa, Soumaya Lakehal +2

Large language models often solve a theorem forward yet fail to disprove a closely related false one: a falsification gap that supervised fine-tuning does not close and can activel…