Fuel supply system comprising a fuel tank for storing a liquefied gaseous fuel which is present in the fuel tank in a liquid phase (K fl) and in a gas phase (K gas) and forms a gas cushion in the fuel tank, the fuel tank having extraction fittings (101.5, 101.6) for separately extracting the liquid phase (K fl) and the gas phase (K gas), and a fuel feed system, the extraction fittings (101.5, 101.6) and the fuel supply feed system being directly or indirectly connected to a control device (S1, S2, S3, S4, 103, 104), the fuel feed system metering the fuel from the fuel tank to an energy conversion apparatus of a vehicle, the control device (S1, S2, S3, S4, 103, 104) being designed in such a way that the fuel feed system is supplied with fuel in the gas phase (K gas) from the gas cushion as a priority and only secondarily supplied with fuel in the liquid phase (K fl), depending on an expected time of a refueling process, characterized in that the control device (S1, S2, S3, S4, 103, 104) comprises a navigation system which is connected on the control side to a first control unit and to displays, a first display element (104.1) displaying the distance to the next filling station of the vehicle equipped with the fuel supply system, and a second display element (104.2) displaying the range of the vehicle equipped with the fuel supply system, optionally a) taking into account the operation of the energy conversion apparatus with the gas phase (F gas) and the liquid phase (F fl) and/or b) taking into account the operation of the energy conversion apparatus with the gas phase (F gas) alone and/or c) taking into account the operation of the energy conversion apparatus taking into account the liquid phase (F fl) alone, which is calculated in the first control unit taking into account the distance to the next filling station, which is provided via the navigation unit, the navigation system being connected on the control side to the first control unit, the range to the next filling station being calculated in the first control unit by means of the navigation system in a route planning process, and the priority of the fuel supply of the gas phase (K gas) of the fuel from the gas cushion being triggered in an automatic operating mode of the vehicle, depending on the expected time of the refueling process, or triggered by the user in a manual operating mode, or remotely triggered by an operator in a telemetric operating mode. the control device (S1, S2, S3, S4, 103, 104) comprises a navigation system which is connected on the control side to a first control unit and to displays, a first display element (104.1) displaying the distance to the next filling station of the vehicle equipped with the fuel supply system, and a second display element (104.2) displaying the range of the vehicle equipped with the fuel supply system, optionally a) taking into account the operation of the energy conversion apparatus with the gas phase (F gas) and the liquid phase (F fl) and/or b) taking into account the operation of the energy conversion apparatus with the gas phase (F gas) alone and/or c) taking into account the operation of the energy conversion apparatus taking into account the liquid phase (F fl) alone, a) taking into account the operation of the energy conversion apparatus with the gas phase (F gas) and the liquid phase (F fl) and/or b) taking into account the operation of the energy conversion apparatus with the gas phase (F gas) alone and/or c) taking into account the operation of the energy conversion apparatus taking into account the liquid phase (F fl) alone, which is calculated in the first control unit taking into account the distance to the next filling station, which is provided via the navigation unit, the navigation system being connected on the control side to the first control unit, the range to the next filling station being calculated in the first control unit by means of the navigation system in a route planning process, and the priority of the fuel supply of the gas phase (K gas) of the fuel from the gas cushion being triggered in an automatic operating mode of the vehicle, depending on the expected time of the refueling process, or triggered by the user in a manual operating mode, or remotely triggered by an operator in a telemetric operating mode.