<ul data-eligibleForWebStory="true">Apple researchers published a study on simulated reasoning models aligning responses with training data.Findings similar to USAMO study where AI models scored low on novel mathematical proofs.The study titled 'The Illusion of Thinking' by an Apple team examined 'large reasoning models.'Models attempted logical reasoning to solve problems step-by-step through text output.AI models were tested on classic puzzles of varying complexity including Tower of Hanoi and checkers jumping.Evaluation critique highlights a focus on final answer accuracy rather than the reasoning process.