You need to rethink your reasoning on this point. The marriage vows say nothing about society, and there is a reason for this. What happens between a man and his wife is between them only.
Who decides if a couple may marry?
Who issues the couple a marriage license?
Who defines the rules of legal marriage?
Who decides the grounds for divorce?
Marriage would be silly, for example, if one man and one woman were the only humans on earth: They could decide to be married one day and divorced the next, only to remarry the day after that.
They could decide to be "married" when they feel like having sex, and decide to be "divorced" when one or the other has a headache.
With nowhere to go--with no other potential mate to impregnate your wife or steal your man away leaving you to raise the kids alone--marriage is meaningless.
Marriage is the invention of society. Society creates and enforces marriage.
Society also creates and enforces divorce--for divorce, like marriage, is meaningless apart from a couples membership in a larger group.