Error: Dependency is not satisfied: boot-sav
In that case try installing boot-sav first:http://ppa.launchpad.net/yannubuntu/boo ... al_all.deb
Thousands of people have installed Mint14 without any effort (unless they have Uefi hardware in which case it is a monumental effort every time). You may have such a system, you still haven't said one way or the other, or you may have a faulty disk - I have had them from LXF before believe me, or you may be failing to carry out the instructions to install the ppa correctly, I don't know. (the ppa is the correct way to do this, not the way I am showing you, that is just a workround).
Edit. I am now posting this edit from the LXF live Mint dvd with boot repair installed to it, the ppa was added and updated normally with a single copy/paste/enter, the program was installed and run with another copy/paste/enter. There is nothing wrong with those instructions, I would try it again.
If you have a Uefi system you are 100% correct to be unimpressed - so is everyone else that has one, me included. The only people not unimpressed with Uefi on Linux are the people that write the code and have decided it is in a usable state - I can only presume they don't own Uefi systems.
Fujitsu Lifebook AH532. Intel i5 processor, 6Gb ram, Intel HD3000 graphics, Intel Audio/wifi. Realtek RTL8111/8168B Ethernet.Lubuntu 13.10,Ubuntu12.10 (Unity), Mint16 (Cinnamon), Manjaro (Xfce).