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We predict the survival time of initially bound star clusters in the solarneighbourhood taking into account: (1) stellar evolution, (2) tidal stripping,(3) shocking by spiral arms and (4) encounters with giant molecular clouds. Wefind that the predicted dissolution time is t_dis= 1.7 (M_i/10^4 M_sun)^0.67Gyr for clusters in the mass range of 10^2 < M_i < 10^5 M_sun, where  M_i is the initial mass of the cluster.. The resulting predicted shape of thelogarithmic age distribution agrees very well with the empirical one, derivedfrom a complete sample of clusters in the solar neighbourhood within 600 pc.The required scaling factor implies a star formation rate of 400 M_sun/Myrwithin 600 pc from the Sun or a surface formation rate of 3.5 10^-10 M_sun/(yrpc^2) for stars in bound clusters with an initial mass in the range of 10^2 to3 10^4 M_sun.Comment: Accepted for A&A Letters, 5 pages, 3 figure

Clusters in the solar neighbourhood: how are they destroyed?