Help the caravan driver find out which tribe each merchant belongs to and where he left his money.
Teutons never lie.
Gauls always lie.
Smith: Potter is Gaul | Money in carpenter’s shop
Potter: Smith and Carpenter are either Teutons or Gauls
Carpenter: Potter tells the truth| Money in potter’s shop.
Let’s assume that potter is Teuton and tells the truth.
That means that the Smith and Carpenter are either Teutons or Gauls.
If they Teutons = they can’t lie, but they tell that the money was left in the different shops = impossible solution.
If they Gauls = they always lie = Smith tells lie (correct), but Carpenter says: Potter tells the truth – impossible solution, because in this case it conflicts with the tasks (Gauls always lie).
So, if both situations are impossible for Potter as Teuton = Potter is Gaul => Smith and Carpenter belong to different tribes.
Carpenter is Gaul too, because he agrees with the Potter (and therefore tells lie). => only Smith is Teuton, because Potter lied about him (that the Smith belongs to the same tribe as the carpenter)
So, the only possible solution is:
Smith is Teuton.
Potter is Gaul.
Carpenter is Gaul, Money in his place.
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