Abstract: A liquid fraction and a gas fraction produced during the reprocessing of waste material containing CH compounds by pyrolysis, have a mass ratio approximately equal to 1. Since the liquid fraction is more suitable for further processing than the gas fraction, there is an incentive to augment the liquid fraction at the expense of the gas fraction. In order to achieve this object, the pyrolysis gas is cooled until the benzene and the higher-boiling gaseous constituents of the pyrolysis gas pass into the liquid phase, so that a benzene-containing liquid fraction is produced. A gas mixture containing benzene and toluene is stripped out of the benzene-containing liquid fraction, passed together with the gas fraction at a temperature of 300.degree. to 450.degree. C. over a zeolitic catalyst and then separated by cooling into both a fraction which is liquid at atmospheric pressure and a residual gas fraction.