Comedy Central has a very petty history with Adult Swim. (thread) 
In 2002, After the success of the revival of Home Movies, Comedy Central all of a sudden decided to release the unaired episodes of Dr. Katz (another Soup2Nuts show), which had been off the air for a couple years already.
After the success of The Oblongs and Baby Blues moving from The WB to AS, Comedy Central decided to acquire Clerks and air the remaining episodes. Didn't last very long.
Comedy Central did a big animation push in 2003/04 with more mature cartoons that Adult Swim couldn't get away with yet and debuted Drawn Together, Shorties Watchin' Shorties and Kid Notorious. Drawn Together was the only success.
At the same time, CC's sister network TNN (later Spike now Paramount Network), made a block called "The Strip" that aired Ren & Stimpy Adult Party Cartoon, Gary the Rat and Stripperella. The block had good ratings but the network went in a different direction and the block ended.
In 2007, after hearing Adult Swim's rights to Futurama were almost expired, Comedy Central stepped in at the last minute and offered much more for the rights than Adult Swim could afford, and took the series in 2008, where it still airs to this day
The change was both good and bad, while new episodes were made and aired, Comedy Central aired the broadcast syndicated version in order to squeeze in more commercial time. Meaning lots of content was cut. This is a practice done with most of their syndicated shows.
Like Adult Swim, Comedy Central's animation budget isn't large, they're used to spending a minimal budget on their top show South Park. Which led to the end of Drawn Together in 2007, it got a movie in 2010, but it was a low budget, direct to DVD, flash movie.
Starting in the 2010's instead of solely competing with AS, they now decided to take content from them.
When FX put the rights to It's Always Sunny in Philadelphia up for sale, Adult Swim was set to acquire it, but Comedy Central swept in and bought the show for themselves. The aired the show for seven years until Vice acquired it in 2017.
In 2010, Fox put the cable right for The Cleveland Show up for sale and TBS/Adult Swim and Comedy Central were the main bidders. With the combined financial backing from the former, Adult Swim and TBS won the rights and premiered the show in 2012 and 2013 respectively
Comedy Central did another animation push in the early 2010s and debuted Ugly Americans, Brickleberry, and newly produced episodes of Futurama.
With the success of Rick and Morty on Adult Swim, Comedy Central debuted more animation in the mid 2010s including, TripTank, Moonbeam City, Legends of Chamberlain Heights and Jeff and Some Aliens.
Adult Swim attempted to acquire Archer, but once again, Comedy Central outbid them. Comedy Central ended up airing the show on weekday afternoons to compete with TBS' block, which led to the series to have to be edited for daytime television (which AS wouldn't have had to do)
In the late 2010's they focused less on original series and more on syndicated shows and South Park, then in 2018 Comedy Central announced yet another animation push, both for syndicated shows and original shows. They announced they were accepting new animation pitches.
In 2018, Comedy Central acquired King of the Hill from a cushy primetime slot on Adult Swim to a late night/early morning edited slot on the network. The show only aired a year, so they may not have really wanted it, they probably just didn't want Adult Swim to have it.
They were finally able to acquire The Cleveland Show from AS in late 2018. With the exception of the syndication cuts and 35 minute time slots, it has better treatment, airing up to 35 times a week.
Lastly they acquired the cable rights to Netflix's Bojack Horseman, which had to be edited for a 30 minute time slot with commercials. It only aired for a year before being pulled from the lineup.
At this moment we only have South Park (evening/night/late night), The Cleveland Show (afternoons/late mornings) and Futurama (early/mid morning) as the only toons on the network. We'll see if anything came from those animation pitches.
Long story short, pettiness doesn't win. Lots of these shows could've lived better lives in their time. Had Comedy Central focused let's less on competing so hard they could've alongside Adult Swim and supported the growth adult animation.
