About the name: It's actually a password I used to use. I just put the word "forever" (don't remember why), and since it needed to be 8 characters, I randomly chose to put the number 7 on the end. And I thought now that that'd make a cool level name.
About "Catastrophe": No builderless solutions were intended. But I can think of one, not sure if the time limit would allow it though.
And yes, Ice_Eagle, pretty much all the Daigoro levels have multiple solutions. The only ones that don't have multiple intended solutions(other than the training levels) are "Burnt To A Crisp", "Catastrophe", "It's Over There" and "The Incinerator". And only the first two are for difficulty - the other two are simply too simple to have multiple solutions. (Well, if you count "The Incinerator"'s 100% solution, it has multiple solutions, but the 100% solution is only very slightly different to the normal one)