The content of the Civilization Gambling Pact is: [The Contractor Su Ming'an must restart the Dawn System within twenty days.]
So, as long as "Contractor Su Ming'an" can never reach the twentieth day, this Civilization Gambling Pact will become a mere empty talk.
When Su Ming'an reaches the nineteenth day, he will encounter Acto, who will send him back to the past to hand over his "Contractor" identity to his self on the first day.
Analyzing purely from the causality level, when "Past Su Ming'an" experiences nineteen days, he will again encounter Acto, who will send "Past Su Ming'an" back to the past again, handing the "Contractor" identity to the next first day self, that is, "Past's Past Su Ming'an."