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The applescript support is good and works well.

In your code fragment you have not specified which task you are referring to.

An inbox task ? A project task ? If so which project ?

Whether inbox or project tasks, which task specifically ?

The following, for example, would at least conform to the structure of the dictionary:

Code:
tell application "OmniFocus"
	tell default document
		set var1 to start date of first inbox task
	end tell
end tell