It does allow this,
You may use the software for any purpose.
You may modify the software only for non-commercial purposes such as personal use for research, experiment, and testing for the benefit of public knowledge, personal study, private entertainment, hobby projects, amateur pursuits, or religious observance, all without any anticipated commercial application.
You may distribute the software or any part of its source code only if you do so free of charge for non-commercial purposes.
But hey, way to read the source material before explaining it to someone ;)
Not only is that unprovable, it seems highly unlikely.