Yep all, there is only one puzzle I did not solve in my collection , it is called great gears
Do you own an Astrolabacus?
I think one thing that should be clarified is the difference between solving a puzzle, and figuring out a solution. If your solution involves scrambling again hoping to skip parity, that's not really correct. I see many people who claim to have solved a puzzle on their own, but it's usually trial and error, and they're not able to repeat it.
I claimed to have figured out a solution for square-1 on my own. I even figured out parity, but my parity fix was an 80 move algorithm. It took me about an extra week to find that parity fix after I had figured out the rest; I actually got pretty good at everything else in the process of figuring out the parity fix. Anyway, I used that parity fix for about 3 solves and then quickly learned a "real" one, and that cut about a minute off my solves.
It's been a while, but I did something similar for 4x4x4 back when I figured it out. It was a terrible algorithm (I have no idea what it was anymore - it didn't even make a lot of sense), but I knew it would guarantee that I would swap the parity for when I resolved it. So I wouldn't have to solve over and over again until I got lucky - just twice. I still consider that a valid solution.
Most anyone can figure out the tough parity fixes if they really try - it just takes a lot of trial and error to figure out a (probably very bad) one. But I still think it's appropriate for me to say I figured out how to solve a square-1 on my own, even if it was VERY inefficient.