Among the statements provided, the true one about the election of 1912 is:
The Republican Party did not nominate Roosevelt because he was too progressive.
In the 1912 election, Theodore Roosevelt was indeed seen as a progressive candidate, and when he did not receive the Republican nomination, he ran as a candidate for the newly formed Progressive Party. William Howard Taft, the incumbent president, received the nomination from the Republican Party. Woodrow Wilson was the Democratic candidate, not the Republican candidate. Additionally, Wilson won the election, receiving more electoral votes than Taft and Roosevelt combined.