CosmosWorks would generally use the Cosmos solver for FEA problems. Cosmos files do open well in FEMAP, with a few minor exceptions (for example, shell elements often come in as plates...you have to redefine them, but this is easy to do). Not sure I understand your final question regarding identifying the solver...are you referring to the specific solution program within the subdirectory? Or, in general, identifying which solvers particular packages use (for example, the SAPP codes, or the Cosmic Nastran Kernel, etc.)?
Garland E. Borowski, PE