It's a visualvm snapshot, how useful would a text log of the server saying "can't keep up" be.
It looks to be an interaction with natura causing it.
https://github.com/MinecraftForge/MinecraftForge/issues/777
We updated our server from 846 to 859 and ran into some lag issues (constant "can't keep up" messages), reverting to 846 "fixes" it.
Forge 859 - https://dl.dropboxusercontent.com/u/3730226/snap.nps
Forge 846 - https://dl.dropboxusercontent.com/u/3730226/snap2.nps
Not sure what change exactly does this but it makes the game unplayable.
Edit your run configurations, Arguments tab, Program arguments:
--version 1.6 --tweakClass cpw.mods.fml.common.launcher.FMLTweaker
Also check to be sure your working directory on that tab also resolves to forge\mcp\jars
Configure the Java Build Path for your minecraft project. Source Tab, expand the project, set the "Native library location" to where your natives are (forge/mcp/jars/versions/x/x-natives).