Are you sure it's not Confucius who wrote your version of the Chinese years ?
Because on my version all of those date are all of of sync.
2007 = Year of the Pig
2008 = Year of the Rat
2009 = Year of the OX
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1924, 1936, 1948, 1960, 1972, 1984, 1996, 2008 = Rat
1925, 1937, 1949, 1961, 1973, 1985, 1997, 2009 = OX
1926, 1938, 1950, 1962, 1974, 1986, 1998, 2010 = Tiger
1927, 1939, 1951, 1963, 1975, 1987, 1999, 2011 = Rabbit
1928, 1940, 1952, 1964, 1976, 1988, 2000, 2012 = Dragon
1929, 1941, 1953, 1965, 1977, 1989, 2001, 2013 = Snake
1930, 1942, 1954, 1966, 1978, 1990, 2002, 2014 = Horse
1931, 1943, 1955, 1967, 1979, 1991, 2003, 2015 = Goat
1932, 1944, 1956, 1968, 1980, 1992, 2004, 2016 = Monkey
1933, 1945, 1957, 1969, 1981, 1993, 2005, 2017 = Rooster
1934, 1946, 1958, 1970, 1982, 1994, 2006, 2018 = Dog
1935, 1947, 1959, 1971, 1983, 1995, 2007, 2019 = Pig
As supplied by Master Fong from my local Chines restaurant.