  The long-time dynamics of the 1D contact process suddenly brought out of an
uncorrelated initial state is studied through a light-cone transfer-matrix
renormalisation group approach. At criticality, the system undergoes ageing
which is characterised through the dynamical scaling of the two-times
autocorrelation and autoresponse functions. The observed non-equality of the
ageing exponents a and b excludes the possibility of a finite
fluctuation-dissipation ratio in the ageing regime. The scaling form of the
critical autoresponse function is in agreement with the prediction of local
scale-invariance.
