Question: Which band debuted first, Fake Problems or L'Arc-en-Ciel?

Context paragraphs:
L'Arc-en-Ciel: L'Arc-en-Ciel ("The Rainbow" in French, stylized as L'Arc~en~Ciel) is a Japanese rock band, founded in Osaka in 1991.  With a reported 40 million records sold, they were the first Japanese act to headline at Madison Square Garden.  In 2003, they were ranked 58 on a list of the top 100 Japanese pop musicians by HMV Japan.  While they first got their start as a visual kei band, they have not had any association with the movement since their major label debut in 1994.

It's Great to Be Alive (album): It's Great to Be Alive is the second full-length album from indie-punk band Fake Problems.  It was released February 17, 2009 and is their first for Side One Dummy since joining the label in November 2008.

Gekitotsu Toma L'Arc: TomaRunner vs L'Arc-en-Ciel: Gekitotsu Toma L'Arc: TomaRunner vs L'Arc-en-Ciel (激突トマラルク ) is a Japan-exclusive racing game for the PlayStation.  It is the sequel to "TomaRunner" and includes members of the Japanese band L'Arc-en-Ciel as playable characters.

SuperHappyFunTimesFriends: SuperHappyFunTimesFriends is the seventh studio album by Regurgitator and was released in Australia on 5 August 2011.  Much of the album was recorded in Melbourne earlier in 2011.  Originally the band had planned on releasing individual songs on the internet as they were finished.  Two songs were released as a part of this experiment, "Evil Eye" and "NROB BMUD" (later renamed "Born Dumb" for "SuperHappyFunTimesFriends").  After being quiet for some months on 19 June 2011 the band debuted a new song "One Day" on Triple J and announced the new album.  Soon after, "Game Over Dude", "All Fake Everything" and "Super Happy Funtime" were uploaded to the band's Bandcamp and SoundCloud accounts.  The full album was made available upon the release date.  The album was released in many non-traditional formats such as cassette, vinyl and PlayButton.

Fake Problems: Fake Problems is a four-piece indie rock from Naples, Florida.  They released their first full-length album, "How Far Our Bodies Go", on Sabot Productions on April 27, 2007.  Their second record, "It's Great to Be Alive", was released through Side One Dummy Records on February 17, 2009.  Their third record "Real Ghosts Caught On Tape" was released September 21, 2010, also on Sideonedummy.  They are currently on an indefinite hiatus.

Real Ghosts Caught on Tape: Real Ghosts Caught On Tape is the third full-length album from the rock band Fake Problems.  It released on September 21, 2010 and is their second release for Side One Dummy since joining the label in November 2008.  The song Soulless was used in an Android Application commercial.

The Knew: The Knew is an American rock and roll band from Denver, CO consisting of Jacob Hansen (guitars, vocals), Tim Rynders (bass), Tyler Breuer (guitars), and Andy Thomas (drums).  The group takes influences from such acts as The Rolling Stones, The Clash, Dillinger Four, The Replacements, and My Morning Jacket.  The Knew has shared the stage with numerous national acts such as Cold War Kids, Deer Tick, Titus Andronicus, Afghan Whigs, Fake Problems, Manchester Orchestra, Slim Cessna's Auto Club and has appeared at such festivals as South by Southwest, CMJ Music Marathon, Mile High Music Festival and the Monolith Festival.  The band is renowned for their high energy performances and being front row boys.

Antarctigo Vespucci: Antarctigo Vespucci is an indie rock band composed of Chris Farren of Fake Problems and Jeff Rosenstock of Bomb the Music Industry.

Acid Android: Acid Android (often stylized as acid android) is the solo project of Yukihiro, drummer of the Japanese rock band L'Arc-en-Ciel.  They are signed to yukihiro's Tracks on Drugs label, a division of Ki/oon Records.  Acid Android releases, as with the other L'Arc-en-Ciel members' solo projects, take place when they are on hiatus.  To date Acid Android has released three albums, one mini album and EP, two singles, and three live DVDs.  The band, in contrast to L'Arc-en-Ciel, uses a harder, faster sound, more stage-lighting and American and European-styled mechanics to further energize their concerts.

Later Days: The band was formed by lead singer Mike Wassef in 2001 in Naples, FL.  For the 3 years, they released numerous demos and played shows throughout South Florida, many with good friends and contemporaries Fake Problems.  This period culminated with the release of "I've Got My Fingers Crossed, But I'm Not Holding My Breath" in 2003, which was recorded at Skylab Studios in Gainesville, FL and Produced by Maharamzeez and John Faratzis

Supporting paragraphs: Fake Problems L'Arc-en-Ciel
Answer: L'Arc-en-Ciel