Sure, theoretical science. Practical science says that inbreeding extinguishes evolution and the physical and mental health of descendants. Therefore your model

Sure, theoretical science. Practical science says that inbreeding extinguishes evolution and the physical and mental health of descendants. Therefore your model cannot work, neither theoretically. The original question was what was the minimum time and number of survivors to restore the civilization after the Armageddon. The equation is: more people - less time or less people - more time. The other conditions may vary.