I just installed and re-installed IntelliJ. Every Java file is coming up RED. I checked the JDK; it is at 1.6.##. The maven clean install build worked just fine
Tried invalidating cache, reimporting the project, switching to built-in Maven, removing the .m2 folder and its parts, - nothing worked.
After I had completely broken Maven (while it had built the project successfully before, now it couldn't anymore), I had to reinstall it from scratch.
It helped!