Look at the text. The Serpent said this in context with eating the fruit. If humans eat it, they will not die. They did not die because of eating the fruit, but because God sentenced them to death. The Serpent said this statement before God revealed His plan for judgement(eg death) so the statement is not a lie at this point in the text as there is no way humans are going to die from eating the fruit without an outside influence, which, I think, is what the Serpent means.
They are going to die because God said they would earlier. They had not eatten from the tree of life. Lies are often half truths, but are trying to lead you astray.
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