Text: It takes little imagination to speculate that JQA felt liberated to enjoy this second career only because on July 4, 1826, midway through JQA's presidency, his venerated old man passed away.
Entailment: You have to use your imagination to guess if JQA felt free to start a new career.
Contradiction: You don't have to use your imagination to guess if JQA felt free to start a new career.