Despite the absence of any suspected leaks by Intel Inspector, the memory usage of my application via RSS continues to rise over time.

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This may indicate a memory leak within your application code, rather than a problem with Intel Inspector. It is important to review the memory usage patterns and identify potential areas where memory may not be properly managed, such as allocating memory that is not subsequently freed. You may also consider using other memory profiling tools to help identify the source of the memory leak.