Observational data for cool star Procyon available from the Chandra Data Public Archive are co-added and analyzed with as high a signal-to-noise ratio as possible. The soft X-ray emission lines of highly charged sulfur ions (S VII-S XV) are investigated in the 30-80 Å range. A collisional-radiative model is constructed to predict line emissivities of sulfur ions using updated excitation data from the R-matrix method. Theoretical line fluxes and line intensity ratios are calculated, and theoretical spectra are constructed with a Gaussian profile with a line width of 0.06 Å. By comparing predicted emission lines with observed ones, several strong emission lines are identified for the first time. Some misassignments of lines in previous works are also corrected. By comparing our results with those from the Chianti (v6) model, this work provides insight into the completeness and accuracy of the atomic data of sulfur ions in the Chianti (v6) database.