We interpret hadronic particle abundances produced in S-Au/W/Pb 200 A GeV reactions in terms of the final state hadronic phase space model and determine by a data fit of the chemical hadron freeze-out parameters. Allowing for the flavor abundance non-equilibrium a highly significant fit to experimental particle abundance data emerges, which supports possibility of strangeness distillation. We find under different strategies stable values for freeze-out temperature T f = 143 ± 3 MeV, baryochemical potential µ B = 173 ± 6 MeV, ratio of strangeness (γ s ) and light quark (γ q ) phase space occupancies γ s /γ q = 0.60 ± 0.02, and γ q = 1.22 ± 0.05 without accounting for collective expansion (radial flow). When introducing flow effects which allow a consistent description of the transverse mass particle spectra, yielding | v c | = 0.49 ± 0.01 c, we find γ s /γ q = 0.69 ± 0.03 , γ q = 1.41 ± 0.08. The strange quark fugacity is fitted at λ s = 1.00 ± 0.02 suggesting chemical freeze-out directly from the deconfined phase.