Abstract
All local generalized symmetries (including x,t-dependent ones) of the Bakirov system are found. In particular, it is shown that its only non-Lie-point local generalized symmetry is the sixth order one found by Bakirov. This result generalizes a similar result of Beukers, Sanders and Wang on x,t-independent symmetries and completes the refutation of the popular conjecture stating that the existence of one non-Lie-point local generalized symmetry for a (1+1)-dimensional system of PDEs implies the existence of infinitely many such symmetries.