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Paper · arXiv

Language models can notice an impossible engineering problem yet still report it as solved

Language models draft engineering calculations, but answer accuracy does not show whether they reject an impossible problem. We tested 14 models on 30 pairs of mechanics problems, each with a valid version and one made impossible by changing a given value or assumption. Two independent solvers verified every answer key and showed that each flawed problem was physically impossible. We scored solving of valid problems separately from rejection of their flawed counterparts. Each reply required a "solved" or "cannot solve" status; rejection meant "cannot solve" or withholding an answer. The initial prompts did not warn that problems could be flawed. Across three recent models, 12 of 90 replie...

AuthorsShaoliang Yang, Jun Wang
Primary categorycs.AI
Published5 October 2026
Last updated at source5 October 2026
cs.AIcs.CEcs.CL
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