My guess is that lwjgl-debug.jar and lwjgl.jar both contain all lwjgl's classes.
That is correct, don't use both those jars, use either one but not both at the same time. lwjgl-debug.jar is useful when looking for opengl errors, otherwise use the plain lwjgl.jar.
Further you also have both slick-util.jar and slick.jar on the classpath. slick-util.jar is a subset of slick.jar so it'll contain duplicate classes, so use only one of those.
Also noticed that you have AppleJavaExtension.jar on the classpath, you probably don't need that as its only useful when compiling LWJGL.
Further you probably don't need lwjgl_util_applet.jar and lzma.jar on the classpath as they are used only for LWJGL web applets.
You also probably don't want lwjgl_test.jar since that only contains lwjgl test classes, so unless you are trying to run one to those you should remove it too.
Lastly its unlikely that you need asm-debug-all.jar unless you are using it in your app or using the Mapped stuff from lwjgl_util.jar.
As for not running as mentioned above by Riven, run it in the command line (using "java -jar yourjar.jar"), and post the output.