Question: Who directed a film written by the same pairing that later wrote "Wild Wild West"?

Context paragraphs:
Wild Wild West (Will Smith song): "Wild Wild West" is the title of a hip hop song co-written by Will Smith as the theme song for Smith's film of the same name.  The song also appears on Smith's 1999 album, "Willennium".  Will Smith's 1999 release was recorded specifically for Smith's summer blockbuster "Wild Wild West".

Short Circuit (1986 film): Short Circuit is a 1986 American comic science fiction film directed by John Badham and written by S. S. Wilson and Brent Maddock.  The film's plot centers upon an experimental military robot that is struck by lightning and gains a more humanlike intelligence, with which it embarks to explore its new state.  "Short Circuit" stars Ally Sheedy, Steve Guttenberg, Fisher Stevens, Austin Pendleton and G. W. Bailey, with Tim Blaney as the voice of the robot named "Johnny 5".  A sequel, "Short Circuit 2", was released in 1988.

Wild Wild West (soundtrack): Wild Wild West is the soundtrack to the 1999 film of the same name.  It was released June 15, 1999, through Interscope Records and consisted mostly of hip hop music (none of which was in the movie, with the exception of the Will Smith and Enrique Iglesias tracks played over the end credits).  The soundtrack features a song by the film's main actor, Will Smith, along with other hip hop and R&B artists including BLACKstreet, Faith Evans, Dr. Dre, Missy Elliott, 702, Destiny's Child, Common, MC Lyte, Tatyana Ali, Slick Rick, Blaque, Nas, Snoop Dogg, Lil' Bow Wow, Puff Daddy, Jermaine Dupri and Eminem.  The soundtrack was very successful, peaking at number four on the US "Billboard" 200 and on the Top R&B/Hip-Hop Albums and features the hit single "Wild Wild West" which went to number one on the US "Billboard" Hot 100.  The album was certified double platinum a week after its release, June 21, 1999.  The album is also the debut of famous artists Lil' Bow Wow, Jill Scott and Kel Spencer.

Wild Wild West: The Steel Assassin: Wild Wild West: The Steel Assassin is a 1999 action-adventure game, developed and published by SouthPeak Games as a tie-in to the film "Wild Wild West", starring Will Smith and Kevin Kline.

Robert Conrad: Robert Conrad Falk (born Conrad Robert Falk; March 1, 1935) is an American film and television actor, singer, and stuntman.  He may be best known for his role in the 1965–69 television series "The Wild Wild West", playing the sophisticated Secret Service agent James T. West.  He portrayed World War II ace Pappy Boyington in the television series "Baa Baa Black Sheep" (later syndicated as "Black Sheep Squadron").  He was a recording artist of pop/rock songs in the early 1960s as Bob Conrad before he began his acting career.  He has hosted a weekly two-hour national radio show ("The PM Show with Robert Conrad") on CRN Digital Talk Radio since 2008.

Jim Thomas (screenwriter): James E. Thomas is an American screenwriter based in California.  With his brother John Thomas, he wrote and/or was substantially involved with the screenplays of several films - including "Predator" (1987), "The Rescue" (1988), "Predator 2" (1990), "Executive Decision" (1996), "Wild Wild West" (1999), "Mission to Mars" (2000), "Behind Enemy Lines" (2001) and the short-lived TV series "Hard Time on Planet Earth".  He also used to be a math teacher at Metuchen High School in New Jersey.

John Kneubuhl: John Kneubuhl (July 2, 1920 – February 20, 1992) was an American Samoan screenwriter, playwright and Polynesian historian.  He wrote for American television series such as "The Fugitive", "Gunsmoke", "The Wild Wild West", "", "The Invaders" and "Hawaii Five-O".  The son of a Samoan mother and an American father, Kneubuhl's multicultural heritage produced a distinctive artistic vision that formed the basis of his most powerful dramatic work.  An accomplished playwright, Kneubuhl was a bicultural Polynesian who used the medium of theatre to explore identity, loneliness and the craft required to bring them to the stage.

Wild Wild West: Wild Wild West is a 1999 American steampunk western action comedy film directed by Barry Sonnenfeld.  It was written by S. S. Wilson and Brent Maddock (whose previous collaborations include the "Short Circuit" and "Tremors" franchises), along with Jeffrey Price and Peter S. Seaman.  A big-screen adaptation of the 1960s TV series "The Wild Wild West", it stars Will Smith, Kevin Kline (who appears in dual roles as one of the two protagonists Artemus Gordon and as President Ulysses S. Grant), Kenneth Branagh and Salma Hayek.

John Thomas (screenwriter): John C. Thomas is an American screenwriter based in California.  With his brother Jim Thomas, he wrote and/or was substantially involved with the screenplays of numerous films - including "Predator" (1987), "The Rescue" (1988), "Predator 2" (1990), "Executive Decision" (1996), "Wild Wild West" (1999), "Mission to Mars" (2000) and "Behind Enemy Lines" (2001) - and the short-lived TV series "Hard Time on Planet Earth".

Gilbert Ralston: Gilbert Alexander Ralston (January 5, 1912–March 18, 1999) was a British-American screenwriter, journalist and author.  He was a television producer in the 1950s and a screenwriter in the 1960s.  He created the television series "The Wild Wild West" and wrote scripts for "Star Trek", "Gunsmoke", "Ben Casey", "I Spy", "Hawaii Five-O", and "The Naked City".  He wrote the screenplay for the 1971 movie "Willard", which was based on the 1968 novel "Ratman's Notebooks" written by Stephen Gilbert.

Supporting paragraphs: Wild Wild West Short Circuit (1986 film)
Answer: John Badham