If you can't give it away, then cutting it down to smaller pieces makes a huge difference. I've had logs 40 feet long that wouldn't burn, but when I cut them down to ten foot lengths, they burn real good.
There's also a certain amount of time it takes for a log to dry enough to really burn well. It might be a few months, or it might be a year. They all seam to be different for me, but when that day arrives, it will burn down to nothing after months of trying.
I just had a pine do this to me. It's been down for a year and a half and just wouldn't burn. It was huge and just about too big to move with my dozer. I burned all sorts of 12 inch logs and trees under it without it ever catching on fire. Then the day the county passes a burn ban, it catches fire. It burned for a day and a half until it was all gone. It just wouldn't stop burning and I was a nervous wreck that I was gonna get fined for having a fire during the ban.
Thankfully, nobody caught me, or said anything.
Eddie