  We study an emergent semiclassical time crystal composed of two interacting
driven-dissipative bosonic modes. The system has a discrete $\mathbb Z_2$
spatial symmetry which, depending on the strength of the drive, can be broken
in the time-crystalline phase or it cannot. An exact semiclassical mean-field
analysis, numerical simulations in the quantum regime, and the spectral
analysis of the Liouvillian are combined to show the emergence of the time
crystal and to prove the robustness of the oscillation period against quantum
fluctuations.
