The disclosure provides a unique multiprocessing (MP) method for executing on plural CPUs of the MP a uniprocessor system (UPS) program not written to run on a MP system. Separate copies of the UPS are provided in the shared main storage (MS) of the MP. A hypervisor type of control program (called a partitioned multiprocessing system, PMP) uses the MP method to enable simultaneous execution of the plural copies of a UPS on different CPUs of the MP as UPS guest virtual machines. PMP can dedicate any CPU to the sole execution of a particular copy of UPS. The copies of the UPS run on the different CPUs independently of each other, but they may share I/O devices.