You know, if Anakin had just put two-and-two together, he would have never turned over to the dark side. Clearly he was "deceived by a lie". But if someone would just explain to him that Palpatine, a Sith Lord , sided with Count Dooku, the Seperatist leader, to create the war. The whole assignment to kill all the Seperatist meant nothing. Anakin was so far into his anger and lust for power, that he didnt stop for a moment to realize "Hey, wait a minute, i didnt bring peace to the republic, Sidious was behind the war the whole time!!"