Data Loader inserts or upserts cause Process Builder errors

While Process Builder is being improved to better handle bulk processing, it can still generate errors when a large Data Loader Insert or Upsert triggers a Process.  The Error within the Data Loader error file will look similar to:
 

The record couldn’t be saved because it failed to trigger a flow. A flow trigger failed to execute the flow with version ID 301j00000001X2z.  Contact your administrator for help.


Your System Administrator will get a flow error email that starts like the below:

An error occurred at element myRule_1_A1 (FlowRecordUpdate).
UPDATE --- UPDATE FAILED --- ERRORS : (ALL_OR_NONE_OPERATION_ROLLED_BACK) Record rolled back because not all records were valid and the request was using AllOrNone header --- for SFDC record with ID : 001j0000002Xy1ZAAS