12th amendment:
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“The person having the greatest number of votes for President, shall be the President, if such number be a majority of the whole number of Electors appointed; and if no person have such majority, then from the persons having the highest numbers not exceeding three on the list of those voted for as President, the House of Representatives shall choose immediately, by ballot, the President. But in choosing the President, the votes shall be taken by states, the representation from each state having one vote; a quorum for this purpose shall consist of a member or members from two-thirds of the states, and a majority of all the states shall be necessary to a choice. And if the House of Representatives shall not choose a President whenever the right of choice shall devolve upon them, before the fourth day of March next following, then the Vice-President shall act as President, as in the case of the death or other constitutional disability of the President.”
So,if this is not resolved by inauguration day, then Pence becomes president?
And before you get to that stage, article 2
Each State shall appoint, in such Manner as the Legislature thereof may direct, a Number of Electors, equal to the whole Number of Senators and Representatives ...
The States MUST APPOINT per law enacted by their LEGISLATURE.
Anything else is high crimes and misdemeanors
Guessing, the local sheriff and AG kicks in, with the DOJ and Supreme Court calling the balls and strikes