When I run Toribash, I can see the login page for a very short time and then it crashes.

Everything is updated and I have fixed the history.log problem, but one more problem encountered...

This is in the stderr.txt:

set_regedit_key : failed to open .rpl (5)
set_regedit_key : failed to open Toribash.Replay (5)
set_regedit_key : failed to open Toribash.Replay\DefaultIcon (5)
set_regedit_key : failed to open Toribash.Replay\Shell\open\command (5)
Raytracing not supported
Fluid blood supported (level 4 of 4)
Ambient Occlusion + Bumpmapping supported (level 12 of 12)
Buffer 0 is dimensions 320 180
Buffer 1 is dimensions 2048 2048
Unable to retrieve login information
Unable to retrieve login information

Which version are you using?
Current Updated beta version has quite a few bugs regarding replay opening.
Try going into the default.cfg with notepad and changing all the settings(ray-tracing, shaders, reflections, e.t.c.) to 0, set the fps to 30 as well. Your computer may not be able to handle the ray-tracing requirements if it's on. It may register as being able to run it, but certain hardware(cpu) might be too weak. Ray-tracing requires a powerful computer to run at 60fps, much less even 30fps

It is version 4.31, and I have ATI HD 6950 gpu. And my cpu is a AMD Phenom II X6 1055T. I don't think it's too weak at all xD
I tested to do what you said, but no.. still crashing.
Toribash 4.31 works at least on my little school laptop

More info on system needed.

Also make sure you've checked through this:
http://forum.toribash.com/showthread.php?t=214180

Finally AMD CPU = needs AMD CPU drivers. No one ever remembers to download & install those.

Windows 7 x64
Wait wait... AMD CPU drivers?? It doesn't exist any necessary drivers like that :o
When i check the crash report, it says it is the atioglxx.dll
-----
Hey dudes, It's okay now, I turned of all my GPU's ''extra'' options

They actually do exist, nab them off the AMD site. Without them your CPU isn't running correctly, worth getting just to make stuff work better.