The true statement about the election of 1912 is: The Republican Party did not nominate Roosevelt because he was too progressive.
In the 1912 election, Theodore Roosevelt ran as a third-party candidate after losing the Republican nomination to William Howard Taft. Roosevelt's progressive platform was deemed too radical for the Republican Party at that time, which is why he ran as a candidate for the Progressive Party (also known as the Bull Moose Party). In that election, Woodrow Wilson, the Democratic candidate, won with a significant number of votes.