Triangle Classifier

Your job is to test out a program that performs a simple task: it takes three integers as parameters, and interprets them as the lengths of the three sides of a hypothetical triangle. The job of the program is to take those three numbers and then classify the triangle into one of these four categories: equilateral (all sides the same length), isosceles (two sides the same length), scalene (all sides different in length), or "not a triangle" (it is impossible to construct a triangle with the given side lengths).
The problem is that this program still contains a bug or two, and we need your help to find them. Think systematically about what combinations of three numbers will fully exercise this program's abilities, and try out each of your combinations in turn.

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