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Logical reasoning,.
Say the answer first. Mary is a squirrel, Darla is a fox and Helen is a badger.

Let's assume that Helen is telling the truth, then Helen is a fox, Mary is lying, then Mary is a badger and Darla is a squirrel. But Darla said that Mary was a squirrel, which contradicted the hypothesis, so Helen was lying.

From what Helen said is a lie, we can know that Helen is not a fox, so Helen is a badger. At this time, we can know that Mary is telling the truth, so Mary may be a fox or a squirrel.

At this time, assuming that Darla is lying, then Mary is not a squirrel but a fox, but at this time Darla can only be a squirrel, which contradicts the condition that squirrels only tell the truth, so Darla is telling the truth, which means that Mary is a squirrel, so Darla is a fox.