Premise: Bacharach ( , also known as "Bacharach am Rhein") is a town in the Mainz-Bingen district in Rhineland-Palatinate, Germany. It belongs to the "Verbandsgemeinde" of Rhein-Nahe, whose seat is in Bingen am Rhein, although that town is not within its bounds.
Hypothesis: Bacharach is a town in the Mainz-Bingen district in Rhineland-Palatinate which is not within the bounds of Bingen am Rhein because its too far away.