the president and vice president were from different parties
John Adams' opponent, Thomas Jefferson, received more votes than Adams' running mate, Thomas Pinckney, making Jefferson the Vice President according to the rules in effect before 1804.
the 1796 presidential election:
The Presidential elections of 1796 were the third quadrennial elections. It was the first time that president and vice president were selected from opposing parties.
John Adams won in 1796 over Jefferson.
John Adams
Thomas Jefferson in 1796 Presidential election
political parties
Federalist
John Adams, Federalist
democratic republican
Thomas Jefferson
John Adams and Thomas Pinckney were both technically presidential candidates and both belong to the Federalist party. Pinckney was the intended running-mate to Adams.
two would be my guess