I have been playing through Myst IV: Revelation recently. In it, I came across a puzzle. There was an interface upon which I could enter 5 symbols, of which there were 8 choices for each. I had already narrowed down the possibilities to 5 of those 8 symbols, and I knew that the answer would be some permutation of them (aka, that no symbol would be repeated).
I had already tried all the obvious things that came to mind and was not finding much luck. Looking back, after finding the actual solution, the actual solution was one of the things I had explicitly written down as something I had tried in my notes, but I must have made a mistake, and so I never decided to try it again as my notes said I had already tried it. Oops. In any case, at the time, I was at the end of my wits, and I decided to brute-force it. (I was determined not to look up any solutions – I’m not a cheater!)