  After promoting the phases of the soft masses to dynamical fields
corresponding to Goldstone bosons of spontaneously broken global symmetries in
the supersymmetry breaking sector, the next-to-minimal supersymmetric model is
found to solve the $\mu$ problem and the strong CP problem simultaneously with
an invisible axion. The domain wall problem persists in the form of axionic
domain formation. Relaxation dynamics of the physical CP-violating phases is
determined only by the short-distance physics and their relaxation values are
not necessarily close to the CP-conserving points. Having observable
supersymmetric CP violation and avoiding the axionic domain walls both require
nonminimal flavor structures.
