To determine the result of the given command-line invocations, let's go through each option:
Option A) Only one compilation will succeed - This option is incorrect. Both class One and class Two will compile successfully in at least one of the invocations.
Option B) Exactly two compilations will succeed - This option is correct. Both class One and class Two will compile successfully in two of the invocations.
Option C) Exactly three compilations will succeed - This option is incorrect. Only two compilations will succeed.
Option D) All four compilations will succeed - This option is incorrect. Not all four compilations will succeed.
Option E) No compiler warnings will be produced - This option is incorrect. Compiler warnings will be produced in at least one of the invocations.
Option F) At least one compiler warning will be produced - This option is correct. Compiler warnings will be produced in at least one of the invocations.
Therefore, the correct answer is B and F.