Wow! That is weird. A paper job application? Was it MacDonalds? Maybe you went into the wrong office building.
It’s weird that they ask you about SolidWorks in the interview and it didn’t seem to be in the job description…that’s what I find most troubling.
Having said that, I’ve worked with, and seen the results of, some outside firms on hiring. Sometimes the headhunter writes the job description based on their knowledge while the client had a completely different criteria in mind.