Abstract: A process for setting an incision depth in stripping electrical conductor wires including an automatic scanning system to obtain a value corresponding to an outside diameter of the conductor wire to be stripped, and an automatic adjustment system to adjust the impact of the stripping according to the scanning value, and a device for carrying out the execution of this process. The scanning system is performed by clamping jaw elements of the insulation stripping device. The adjustment system includes a coupling system connected to the clamping jaw elements, a lever system reacting to the coupling system, and a double wedge arrangement having a stop wedge which is shifted accordingly by the lever system. A counter-wedge coacts with the stop wedge, where these wedges preferably are formed with an angle of 15.degree.. The wedge surface of the stop wedge is provided with a barb-shaped dentation and is fabricated from steel, where the counter-wedge is fabricated from plastic.