question: Who is Demmán Mac Cairell's paternal grandfather?
context: [["Kaya Alp", ["Kaya Alp was, according to Ottoman tradition, the son of K\u0131z\u0131l Bu\u011fa and the father of Suleyman Shah, who was, in turn, the grandfather of Ertu\u011frul, and the great grandfather of the Ottoman Empire founder, Osman I."]], ["Lyon Cohen", ["Lyon Cohen( 1868\u20131937) was a Polish- born Canadian businessman and a philanthropist.", "He was the grandfather of singer/ poet Leonard Cohen."]], ["Cairell mac Muiredaig Muinderg", ["Cairell mac Muiredaig Muinderg (died 532)", "also Cairell Coscrach (\"victorious\") was a king of Ulaid from the Dal Fiatach.", "He was the son of Muiredach Muinderg mac Forggo (died 489) and brother of Eochaid mac Muiredaig Muinderg (died 509), previous kings.", "His accession date is given in the \"Annals of Tigernach\" in 509 and the accession of his successor in 532", "This annal gives him a reign of 509-532", "In the period following the destruction of Emain Macha after 450, Ulidia underwent a recuperation in which the Dal Fiatach emerge as the overlords with his father Muiredach as the first historical king.", "In 496/498 the annals record the storming of D\u00fan Lethglaise (Downpatrick, modern County Down) which may be connected with the rise of Dal Fiatach in this area which was to become their power base.", "The \"Tripartite Life of St. Patrick\" has a story that Saint Patrick cursed the descendants of his brother Eochaid and gave his blessing to the descendants of Cairell.", "Cairell's descendants did monopolize the kingship.", "His known sons were Demm\u00e1n mac Cairill (died 572) and B\u00e1et\u00e1n mac Cairill (died 581), both kings of Ulaid."]], ["Demm\u00e1n mac Cairell", ["Demm\u00e1n mac Cairill (died 572) was a king of the D\u00e1l Fiatach, and over-king of Ulaid in Ireland.", "He was the son of Cairell mac Muiredaig Muinderg (died 532), a previous Ulaid king and brother of B\u00e1et\u00e1n mac Cairill (died 581).", "He ruled the D\u00e1l Fiatach and Ulaid from 557 to 572."]], ["John Mackay (poet)", ["John Mackay( 1656\u20131754), known as( The Blind Piper), was a Scottish Gaelic poet and composer, and the grandfather of William Ross."]], ["Fred Le Deux", ["Frederick\" Fred\" Le Deux( born 4 December 1934) was an Australian rules footballer who played with Geelong in the Victorian Football League( VFL).", "He is the grandfather of Tom Hawkins."]], ["Abd al-Muttalib", ["Abd al- Muttalib Shaybah ibn Hashim( c. 497 \u2013 578) was the grandfather of Islamic prophet Muhammad."]], ["Henry Krause", ["Henry J.\" Red\" Krause, Jr.( August 28, 1913 \u2013 February 20, 1987) was an American football offensive lineman in the National Football League for the Brooklyn Dodgers and the Washington Redskins.", "He played college football at St. Louis University.", "He is the grandfather of Jennifer Krause", "He is the great grandfather of Payton Hoeing"]], ["John Westley", ["Rev. John Westley( 1636 \u2013 78) was an English nonconformist minister.", "He was the grandfather of John Wesley( founder of Methodism)."]], ["Zhao Shoushan", ["Zhao Shoushan( 12 November 1894 \u2013 20 June 1965) was a KMT general and later Chinese Communist Party politician.", "He is the grandfather of Zhao Leji."]]]
supporting_facts: [["Demm\u00e1n mac Cairell", 1], ["Cairell mac Muiredaig Muinderg", 2]]
evidences: [["Demm\u00e1n mac Cairell", "father", "Cairell mac Muiredaig Muinderg"], ["Cairell mac Muiredaig Muinderg", "father", "Muiredach Muinderg"]]
answer: Muiredach Muinderg