I've photoshopped a few files in my time. What? I can't say that? Oh great. I've just used the term "Photoshop" illegally.
Unfortunately, you do not have control over terms, if they become generic enough. If I say, "Can I have a coke with my meal?" that could refer to a number of carbonated beverages. Coca-Cola may be happy or sad that the name of its biggest soft drink is used in that fashion. Apparently, Adobe is going to try to stop its Photoshop app from the same fortune.
And I'm going to guess that the company will fail at this.