Question: 2013–14 Cincinnati Bearcats men's basketball team played in a league that was an offshoot of which conference that existed from 1979-2013?

Context paragraphs:
2014–15 Cincinnati Bearcats men's basketball team: The 2014–15 Cincinnati Bearcats men's basketball team represented the University of Cincinnati in the 2014–15 NCAA Division I men's basketball season.  The Bearcats played home games on Ed Jucker Court at the Fifth Third Arena.  The 2014–15 season was the second season the Bearcats participated in the American Athletic Conference, and were coached by Mick Cronin in his ninth season.  They finished the season 23–11, 13–5 in AAC play to finish in a tie for third place.  They lost in the quarterfinals of the American Athletic Tournament to Connecticut.  They received an at-large bid to the NCAA Tournament where they defeated Purdue in the second round before losing in the third round to Kentucky.

2016–17 Cincinnati Bearcats men's basketball team: The 2016–17 Cincinnati Bearcats men's basketball team represented the University of Cincinnati in the 2016–17 NCAA Division I men's basketball season.  The team played its home games at Fifth Third Arena, with a capacity of 13,176.  The season marked the final year prior to major renovations to Fifth Third Arena.  The Bearcats were led by 11th-year head coach Mick Cronin and were members of the American Athletic Conference.  They finished the season 30–6, 16–2 to finish in second place in AAC play.  They beat Tulsa and Connecticut in the AAC Tournament before losing to SMU in the championship game.  They received an at-large bid to the NCAA Tournament as the No. 6 seed in the South region.  They defeated No. 11-seeded Kansas State in the First Round before losing to No. 3-seeded UCLA in the Second Round.

2013–14 Cincinnati Bearcats men's basketball team: The 2013–14 Cincinnati Bearcats men's basketball team represented the University of Cincinnati during the 2013–14 NCAA Division I men's basketball season, The Bearcats competed in the American Athletic Conference, one of two offshoots of the original Big East Conference, and were coached by Mick Cronin in his eighth season.  The team played its home games on Ed Jucker Court at the Fifth Third Arena.  They finished the season 27–7, 15–3 in AAC play to share the regular season conference title with Louisville.  They advanced to the semifinals of the AAC Tournament where they lost to Connecticut.  They received an at-large bid NCAA Tournament where they lost in the second round to Harvard.

Big East Conference (1979–2013): The Big East Conference was a collegiate athletics conference that consisted of as many as 16 universities in the eastern half of the United States from 1979 to 2013.  The conference's members participated in 24 NCAA sports.  Three members had football programs but were not Big East football schools: Notre Dame football was independent while Georgetown and Villanova competed in the Football Championship Subdivision.  Another five schools—DePaul, Marquette, Seton Hall, St. John's, and Providence—discontinued or did not have football programs.

2012–13 Cincinnati Bearcats men's basketball team: The 2012–13 Cincinnati Bearcats men's basketball team represented the University of Cincinnati during the 2012–13 NCAA Division I men's basketball season.  The Bearcats, led by seventh year head coach Mick Cronin, played their home games at Fifth Third Arena and were members of the Big East Conference.

2009–10 Cincinnati Bearcats men's basketball team: The 2009–10 Cincinnati Bearcats men's basketball team represented the University of Cincinnati during the 2009–10 NCAA Division I men's basketball season.  The team played its home games in Cincinnati, Ohio at the Fifth Third Arena, which has a capacity of 13,176.  They are members of the Big East Conference.  The Bearcats finished the season 19–16, 7–11 in Big East play and advanced to the quarterfinals of the 2010 Big East Men's Basketball Tournament before losing to eventual champion West Virginia.  They were invited to the 2010 National Invitation Tournament where they advanced to the second round before falling to Dayton.

2015–16 Cincinnati Bearcats men's basketball team: The 2015–16 Cincinnati Bearcats men's basketball team represented the University of Cincinnati during the 2015–16 NCAA Division I men's basketball season.  The Bearcats, were led by tenth year head coach Mick Cronin, who returned full-time after taking a hiatus in December 2014.  The Bearcats played their home games on Ed Jucker Court at Fifth Third Arena and were members of the American Athletic Conference.  They finished the season with a record of 22–11, 12–6 in AAC play to finish in a tie for third place in conference.  The Bearcats lost in the quarterfinals of the AAC Tournament to Connecticut for the second consecutive year.  They received an at-large bid as a #9 seed to the NCAA Tournament.  They lost in the First Round of the Tournament to Saint Joseph's.

2017–18 Cincinnati Bearcats men's basketball team: The 2017–18 Cincinnati Bearcats men's basketball team will represent the University of Cincinnati in the 2017–18 NCAA Division I men's basketball season.  The team will play its home games at the BB&T Arena on the campus of Northern Kentucky University in Highland Heights, Kentucky due to renovations at their home arena, Fifth Third Arena.  The Bearcats will be led by 12th-year head coach Mick Cronin as members of the American Athletic Conference.

2010–11 Cincinnati Bearcats men's basketball team: The 2010–11 Cincinnati Bearcats men's basketball team represents the University of Cincinnati during the 2010–11 NCAA Division I men's basketball season.  The team plays its home games in Cincinnati at the Fifth Third Arena, which has a capacity of 13,176.  They are members of the Big East Conference.

1991–92 Cincinnati Bearcats men's basketball team: The 1991–92 Cincinnati Bearcats men's basketball team represented the University of Cincinnati in NCAA Division I competition in the 1991–92 season.  The Bearcats, coached by Bob Huggins, won the first title of the Great Midwest Conference, created that season by a split from the Metro Conference (the two would reunite in 1995 to form Conference USA).

Supporting paragraphs: 2013–14 Cincinnati Bearcats men's basketball team Big East Conference (1979–2013)
Answer: Big East Conference