Question: Are The Knot Garden and Ariadne auf Naxos both operas?

full_context: Document 1: Thomas Carey (baritone): Thomas Carey (29 December 1931 – 23 January 2002) was an American operatic baritone. Born in Bennettsville, South Carolina, he served in the United States military during the Korean War. After leaving the service he studied singing at the Henry Street Settlement and at City College of New York. In 1970 he performed the role of Mel in the world premiere of Michael Tippett's "The Knot Garden" at the Royal Opera House in London. From 1969 until his death of pancreatic cancer in Norman, Oklahoma he taught on the voice faculty of the University of Oklahoma. He was married for many years to the contralto Carol Brice who had pre-deceased him in 1985.
Document 2: Richard Strauss: Richard Georg Strauss (11 June 1864 – 8 September 1949) was a leading German composer of the late Romantic and early modern eras. He is known for his operas, which include "Der Rosenkavalier", "Elektra", "Die Frau ohne Schatten" and "Salome"; his Lieder, especially his "Four Last Songs"; his tone poems, including "Don Juan", "Death and Transfiguration", "Till Eulenspiegel's Merry Pranks", "Also sprach Zarathustra", "Ein Heldenleben", "Symphonia Domestica", and "An Alpine Symphony"; and other instrumental works such as "Metamorphosen" and his Oboe Concerto. Strauss was also a prominent conductor in Western Europe and the Americas, enjoying quasi-celebrity status as his compositions became standards of orchestral and operatic repertoire.
Document 3: The Turn of the Screw (opera): The Turn of the Screw is a 20th-century English chamber opera composed by Benjamin Britten with a libretto by Myfanwy Piper, "wife of the artist John Piper, who had been a friend of the composer since 1935 and had provided designs for several of the operas". The libretto is based on the novella "The Turn of the Screw" by Henry James. The opera was commissioned by the Venice Biennale and given its world premiere on 14 September 1954, at the Teatro La Fenice, Venice. The original recording was made during that year, with the composer conducting.
Document 4: The Midsummer Marriage: The Midsummer Marriage is an opera in three acts, with music and libretto by Michael Tippett. The work's first performance was at Covent Garden, 27 January 1955, conducted by John Pritchard. The reception of the opera was controversial, over perceived confusion as to the libretto and Tippett's use of symbols and psychological references. Nonetheless the opera has received at least ten more productions, including two further productions at the Royal Opera, in England, Wales, Scotland, Germany, Sweden and the United States.
Document 5: Intermezzo (opera): Intermezzo, Op. 72, is an opera in two acts by Richard Strauss to his own German libretto, described as a "Bürgerliche Komödie mit sinfonischen Zwischenspielen " (bourgeois comedy with symphonic interludes). It premiered at the Dresden Semperoper on 4 November 1924, with sets that reproduced Strauss' home in Garmisch. The first Vienna performance was in January 1927.
Document 6: Michael Moody: Michael Moody, General Manager and co-founder of The Grange Festival. Having worked with Australian Opera, Garsington and Wexford opera festivals, he then co-founded (with Wasfi Kani) both Grange Park Opera and Nevill Holt festivals. He has been involved with the Pimlico Opera prison project since 1996 and directed "The Threepenny Opera -" HMP Winchester, "West Side Story -" HMP Winchester and Wandsworth, "Guys and Dolls" - Wormwood Scrubs, "Chicago" - HMP Bronzefield, "Les Miserables" - HMP Wandsworth and Erlestoke, "Sugar -" HMP Send, "Sister Act" - HMP Bronzefield and "Our House" with Suggs at HMP Isis.
Document 7: Ariadne auf Naxos: Ariadne auf Naxos ("Ariadne on Naxos"), Op. 60, is an opera by Richard Strauss with a German libretto by Hugo von Hofmannsthal. Combining slapstick comedy and consummately beautiful music, the opera's theme is the competition between high and low art for the public's attention.
Document 8: Michael Tippett: Sir Michael Kemp Tippett {'1': ", '2': ", '3': ", '4': "} (2 January 1905 – 8 January 1998) was an English composer who rose to prominence during and immediately after the Second World War. In his lifetime he was sometimes ranked with his contemporary Benjamin Britten as one of the leading British composers of the 20th century. Among his best-known works are the oratorio "A Child of Our Time", the orchestral "Fantasia Concertante on a Theme of Corelli", and the opera "The Midsummer Marriage".
Document 9: Michael Tippett: Sir Michael Kemp Tippett {'1': ", '2': ", '3': ", '4': "} (2 January 1905 – 8 January 1998) was an English composer who rose to prominence during and immediately after the Second World War. In his lifetime he was sometimes ranked with his contemporary Benjamin Britten as one of the leading British composers of the 20th century. Among his best-known works are the oratorio "A Child of Our Time", the orchestral "Fantasia Concertante on a Theme of Corelli", and the opera "The Midsummer Marriage".
Document 10: Capriccio (opera): Capriccio, Op. 85, is the final opera by German composer Richard Strauss, subtitled "A Conversation Piece for Music". The opera received its premiere performance at the Nationaltheater München on 28 October 1942. Clemens Krauss and Strauss wrote the German libretto. However, the genesis of the libretto came from Stefan Zweig in the 1930s, and Joseph Gregor further developed the idea several years later. Strauss then took on the libretto, but finally recruited Krauss as his collaborator on the opera. Most of the final libretto is by Krauss.
Document 11: A Midsummer Night's Dream (opera): A Midsummer Night's Dream, Op. 64, is an opera with music by Benjamin Britten and set to a libretto adapted by the composer and Peter Pears from William Shakespeare's play, "A Midsummer Night's Dream". It was premiered on 11 June 1960 at the Aldeburgh Festival, conducted by the composer and with set and costume designs by Carl Toms. Stylistically, the work is typical of Britten, with a highly individual sound-world – not strikingly dissonant or atonal, but replete with subtly atmospheric harmonies and tone painting. The role of Oberon was composed for the countertenor Alfred Deller. Atypically for Britten, the opera did not include a leading role for his partner Pears, who instead was given the comic drag role of Flute/Thisbe.
Document 12: Ariadne auf Naxos discography: This is a list of recordings of Ariadne auf Naxos, an opera by Richard Strauss with a German-language libretto by Hugo von Hofmannsthal. The work was first performed at the Hoftheater in Stuttgart on 25 October 1912. A radically revised version was performed in at the Hofoper in Vienna on 4 October 1916. (All the recordings listed on this page are of the revised version.) This list is incomplete.
Document 13: Ariadne auf Naxos (Benda): Ariadne auf Naxos ("Ariadne on Naxos") is a duodrama in one act by Czech composer Jiří Antonín Benda (also Georg Benda) with a German libretto by . It was commissioned by Abel Seyler, whose theatrical company arrived in Gotha in 1774. The opera's first performance was at the Schloss Friedenstein, Gotha, on 27 January 1775.
Document 14: The Knot Garden: The Knot Garden is the third opera by composer Michael Tippett for which he wrote the original English libretto. The work had its first performance at the Royal Opera House, Covent Garden, on 2 December 1970 conducted by Sir Colin Davis and produced by Sir Peter Hall. There is a recording with the original cast.
Document 15: Le bourgeois gentilhomme (Strauss): Le bourgeois gentilhomme (also widely know in its German form as "Der Bürger als Edelman"), Op. 60, is an orchestral suite written by Richard Strauss between 1911 and 1917. The original idea of Hugo von Hofmannsthal was to revive Molière's 1670 play "Le Bourgeois gentilhomme", simplify the plot and introduce a "commedia dell'arte" troupe, add some incidental music and conclude matters with a one-act opera "Ariadne auf Naxos".
ground_truth: yes