After doing the Battleship the previous day, today we hopped on the South Kaibab trail heading down to do O'Neill Butte today. Made the quick descent down past Ohh-Ahh Point and Cedar Ridge reststop and made more descent before leaving the trail at the base of the butte. The guide listed a class 4 route on the northside, so that was our destination today. Examined the whole northside and found just this one section that looked close to fourth class. This first pitch felt more like low class 5, but we didn't think much of it since we had his full trad rack and two rocks to climb & rappel with. Explored a bit more looking for the intented route. Found two weakness in the next ridge, but they both looked 5.8ish. We first tried the section that best matched the route description, but it had a squeeze chimney that my partner leading it couldn't quite get into. So we re-setup for the other section. This way was 'easier' for him to ascend, but it involved two crazy sections of traversing:yikes:that put us above that first way we tried. The next pitch was just 15ft but it involded squeezing up right past a chimney, that again had me questioning my friend how in the world he lead that?!?!?! After that we just scrambled up to the very top to enjoy the view and read the summit register. We didn't bring a pencil... Scrabled back down and made a double-roped rappel and after much work pulling the rope, made the final short rappel back down to our packs. Loaded up our packs and made the 2 mile hike back up to the rim with each of us carrying a rope and half the trad rack...