David Hume was the second of two sons born to Joseph Home of Ninewells, an advocate, and his wife The Hon. Katherine (nee Falconer), daughter of Sir David Falconer. He was born on 26 April 1711 (Old Style) in a tenement on the north side of the Lawnmarket in Edinburgh. Hume's father died when Hume was a child, just after his second birthday, and he was raised by his mother, who never remarried. He changed the spelling of his name in 1734, because of the fact that his surname Home, pronounced Hume, was not known in England. Throughout his life Hume, who never married, spent time occasionally at his family home at Ninewells in Berwickshire, which had belonged to his family since the sixteenth century. His finances as a young man were very "slender". His family was not rich, and, as a younger son, he had little patrimony to live on. He was therefore forced to make a living somehow. Hume attended the University of Edinburgh at the unusually early age of twelve (possibly as young as ten) at a time when fourteen was normal. At first, because of his family, he considered a career in law, but came to have, in his words, "an insurmountable aversion to everything but the pursuits of Philosophy and general Learning; and while [my family] fanceyed I was poring over Voet and Vinnius, Cicero and Virgil were the Authors which I was secretly devouring". He had little respect for the professors of his time, telling a friend in 1735 that "there is nothing to be learnt from a Professor, which is not to be met with in Books". Hume did not graduate. Aged around 18, he made a philosophical discovery that opened up to him "a new Scene of Thought", which inspired him "to throw up every other Pleasure or Business to apply entirely to it". He did not recount what this scene was, and commentators have offered a variety of speculations. One popular interpretation, prominent in contemporary Hume scholarship, is that the new "scene of thought" was Hume's realization that Francis Hutcheson's "moral sense" theory of morality could be applied to the understanding as well. Due to this inspiration, Hume set out to spend a minimum of ten years reading and writing. He soon came to the verge of a mental breakdown, suffering from what a doctor diagnosed as the "Disease of the Learned". Hume wrote that it started with a coldness, which he attributed to a "Laziness of Temper", that lasted about nine months. Later, some scurvy spots broke out on his fingers. This was what persuaded Hume's physician to make his diagnosis. Hume wrote that he "went under a Course of Bitters and Anti-Hysteric Pills", taken along with a pint of claret every day. Hume also decided to have a more active life to better continue his learning. His health improved somewhat, but, in 1731, he was afflicted with a ravenous appetite and palpitations of the heart. After eating well for a time, he went from being "tall, lean and raw-bon'd" to being "sturdy, robust [and] healthful-like". Indeed, Hume would become well known in his time for his "corpulence", and his fondness for good port and cheese.

Answer this question "did he graduate from that university?" by extracting the answer from the text above.
Hume did not graduate.