Logic Problems: Problem 3

Problem: A traveler comes to the end of a road. He sees three paths, all leading towards the same village he will be resting in for the night. There is an inn he is looking for. But then he sees three signs on each path.

The first one reads: "The inn is on this path."
The second one reads: "The inn isn't on this path."
The third one reads: "Out of the first two signs, only one sign is saying the truth."

If the third path is guaranteed correct, then which path is the inn on?

Key: The subjunction method: test

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