Machine tool system and method for operating a machine tool system

A machine tool system, comprising:

• a machine tool comprising
• a stationary machine base;
• two support elements connected to the machine base and oriented in parallel in a third spatial direction;
• a crossbeam connected to the two parallel support elements and oriented in a second spatial direction, the crossbeam being adjustable relative to the two parallel support elements by a third drive along two third parallel machine axes in the third spatial direction or the two support elements being adjustable relative to the machine base by a first drive along two first parallel machine axes in a first spatial direction;
• a tool holder head mounted on the crossbeam and adjustable by a second drive along a second machine axis in the second spatial direction along the crossbeam;
• and
• a control facility connected to the machine tool for controlling the second and at least one of the first drive and the third drive,
• wherein at least one kinematic parameter of at least one of the first and the third machine axes is specified as a function of a position of the tool holder head relative to the second machine axis.