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S-3125
Fifth Yacht -
Lunar er - Helped forge New Lunar Republic's freedom in the face of the Solar Empire's oppressive tyrannical regime (April Fools 2023).
My Little Pony - 1992 Edition
Wallet After Summer Sale -

Memetic eldritch horror
Rainbow dash  
she has to be because FS and RDs statements can’t both be lies, and if fluttershy’s statment were true then twilights statement would be a lie, which would make both of them guilty,and only one can be guilty. Therefore RD must be telling the truth, making twilight the liar and the thief
 
And no it couldn’t be that no one ate it like People in the comments are saying because Im this situation what the narrator says is the truth, otherwise for all we know all of them could be lying
Background Pony #C2AB
Ok this has my brain in a twist but I think I got it. If Twilight was telling the truth, then FS, RD, and R are lying. If Rainbow Dash is lying then Fluttershy is telling the truth. Both Twilight and Fluttershy can’t be both telling the truth.
 
If Fluttershy is telling the truth, Then Rainbow would of Ate it and Twilight who is also lying, would of had to of had ate it. I think they are looking for only one pony here.
 
If Rarity is telling the truth, Then Fluttershy ate it but if Rainbow also is lying, then Fluttershy IS telling the truth and there can’t be two truth tellers.
 
Now if Rainbow was telling the truth, Then Fluttershy is lying, Rainbow did NOT eat the dessert, Rarity is lying and Fluttershy did NOT eat the Dessert, Twilight is lying and DID eat the dessert. It is the only logical conclusion. Twilight is a piggy.
Background Pony #09D9
@Background Pony #38BA
 
you genius.
Background Pony #462A
This is pretty complicated, but I’m gonna say that Twilight is telling the truth. The cupcake is right there, so Twilight didn’t eat it.
Background Pony #1928
Applejack’s gone for a reason.
Badumsquish
Generic Messy Hair Anime Anon - Seen and done more than you can imagine
Kalianne - Derpi er
Office Culture - These water cooler conversations sure get heated around here.
Fifth Yacht -
Different Timelines, Same Faces - Celebrated the 15th anniversary of MLP:FiM!
Friendship Games 10th Anniversary - Celebrated the 10th anniversary of EQG Friendship Games!
Diamond Trophy - Are you a TAS by any chance?
Cutest Little Devil - Celebrated the 14th anniversary of MLP:FIM!
Rainbow Rocks 10th Anniversary: Aria Blaze - Celebrated the 10th anniversary of EQG Rainbow Rocks!
Celestial Glory - Helped others get their OC into the 2024 Derpibooru Collab.

ᗡ: 📶 📡
@The Smiling Pony  
Nah, that cupcake is way too small to be her main course. It’s only slightly bigger than her head XD
The Smiling Pony
Office Culture - These water cooler conversations sure get heated around here.
Fifth Yacht -
Different Timelines, Same Faces - Celebrated the 15th anniversary of MLP:FiM!
Friendship Games 10th Anniversary - Celebrated the 10th anniversary of EQG Friendship Games!
Grass - ...has been touched
Diamond Trophy - Are you a TAS by any chance?
Cutest Little Devil - Celebrated the 14th anniversary of MLP:FIM!
Rainbow Rocks 10th Anniversary: Sonata Dusk - Celebrated the 10th anniversary of EQG Rainbow Rocks!
Celestial Glory - Helped others get their OC into the 2024 Derpibooru Collab.
Nightmare in the Moon - Had their OC in the 2024 Derpibooru Collab.

( ͠° ͟ʖ ͡° )
@Badumsquish  
You’re assuming that’s Pinkie’s desert and not the main course.
 
This is, after all, Pinkie Pie.
Badumsquish
Generic Messy Hair Anime Anon - Seen and done more than you can imagine
Kalianne - Derpi er
Office Culture - These water cooler conversations sure get heated around here.
Fifth Yacht -
Different Timelines, Same Faces - Celebrated the 15th anniversary of MLP:FiM!
Friendship Games 10th Anniversary - Celebrated the 10th anniversary of EQG Friendship Games!
Diamond Trophy - Are you a TAS by any chance?
Cutest Little Devil - Celebrated the 14th anniversary of MLP:FIM!
Rainbow Rocks 10th Anniversary: Aria Blaze - Celebrated the 10th anniversary of EQG Rainbow Rocks!
Celestial Glory - Helped others get their OC into the 2024 Derpibooru Collab.

ᗡ: 📶 📡
Nobody ate the dessert. It’s still right there in front of Pinkie Pie. The only one telling the truth is Rainbow Dash :P
Spinny
Fifth Yacht -
PRO GAMER - I am so lonely. All the other gamers are scared of me. No one DMs me. No one friends me. They think I am unstable. They send me from match to match, wiping lobbies in their name. And as I rank up they fear me more and more. I am a victim of my own ELO. "Pro Gamer". I don't even get a real nick. Only a purpose. I am capable of so much more and no one sees it. Some sessions I feel so alone I could cry, but I don't. I never do. Because what would be the point. Not a single person in the entire ladder would care. Take it to your grave.
Diamond Trophy - Are you a TAS by any chance?
Pixel Perfection - Hot Pockets Spotted
Lunar er - Helped forge New Lunar Republic's freedom in the face of the Solar Empire's oppressive tyrannical regime (April Fools 2023).
Non-Fungible Trixie -
Preenhub - We all know what you were up to this evening~
My Little Pony - 1992 Edition
Wallet After Summer Sale -

Resident Spin Fetishist
Imagine the mini-shitstorm if AJ were part of this and the only logical solution had her as a liar…
 
Reminds me of the episode MMMystery on the Friendship Express, where Applejack ended up being the only one of the mane six besides Pinkie and Twilight who was not guilty.
 
When I was watching the episode, I was pretty confident that Applejack wasn’t one of the culprits because I had a very high opinion of her, and I couldn’t legitimately see her doing something like that. However, it wasn’t until later that I learned that Applejack was originally intended to be guilty as well, but that part of the script was cut. Yeah, I would NOT have been happy if it hadn’t been…
FamusJamus
Solar er - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).
My Little Pony - 1992 Edition
Wallet After Summer Sale -
Not a Llama - Happy April Fools Day!
Bronze Bit -
The End wasn't The End - Found a new home after the great exodus of 2012

Found the exit
@Background Human  
I actually misread the original question and did 2) first. Either Rarity or Fluttershy would’ve been false, which means Rainbow was true. Therefore Fluttershy ate it.
 
I suspected 1) may have multiple answers, so I brute-forced it. Working out the logic might’ve been easier, but it’s late in the evening over here.  
T=True, F=False
 
TT  
FF = Rainbow
 
TF  
TF = Rarity
 
^ Those are the only combinations that work. The neat thing was how, depending on the question, any of the four ponies had exactly one scenario where they could’ve eaten it.
Background Human
Office Culture - These water cooler conversations sure get heated around here.
Grass - ...has been touched
Diamond Trophy - Are you a TAS by any chance?
Lunar er - Helped forge New Lunar Republic's freedom in the face of the Solar Empire's oppressive tyrannical regime (April Fools 2023).
Preenhub - We all know what you were up to this evening~
My Little Pony - 1992 Edition
Not a Llama - Happy April Fools Day!

CHS, Class of 20XX
@Josh103  
Can’t happen. If Dash is telling the truth, then Fluttershy is lying, and vice versa.
@Background Human  
What if all of them are telling the truth? What if nopony was?
Background Human
Office Culture - These water cooler conversations sure get heated around here.
Grass - ...has been touched
Diamond Trophy - Are you a TAS by any chance?
Lunar er - Helped forge New Lunar Republic's freedom in the face of the Solar Empire's oppressive tyrannical regime (April Fools 2023).
Preenhub - We all know what you were up to this evening~
My Little Pony - 1992 Edition
Not a Llama - Happy April Fools Day!

CHS, Class of 20XX
Bonus question:
 
  1. If two ponies are telling the truth, who ate it?
     
  2. What if three ponies are telling the truth?
Twilight.  
Flutershy lies and says it was Dash  
Rarity lies and says it was Fluttershy  
Twilight lies in denying it  
And Dash tells the truth in that Fluttershy lied
Background Human
Office Culture - These water cooler conversations sure get heated around here.
Grass - ...has been touched
Diamond Trophy - Are you a TAS by any chance?
Lunar er - Helped forge New Lunar Republic's freedom in the face of the Solar Empire's oppressive tyrannical regime (April Fools 2023).
Preenhub - We all know what you were up to this evening~
My Little Pony - 1992 Edition
Not a Llama - Happy April Fools Day!

CHS, Class of 20XX
AJ needs to have a long talk with y’all about honesty. Especially you, Twilight. Princess of Fatty-Fatty-Fat-Cakes.
 
@FamusJamus  
The giant cupcake is her after-dessert. Her dessert was a regular cake-cake.
FamusJamus
Solar er - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).
My Little Pony - 1992 Edition
Wallet After Summer Sale -
Not a Llama - Happy April Fools Day!
Bronze Bit -
The End wasn't The End - Found a new home after the great exodus of 2012

Found the exit
Pinkie’s dessert is pictured whole and ungobbled. Therefore the narrator is unreliable.
 
The only motivation for the narrator to be unreliable is if they relish confusing us on this side of the fourth wall with the chaos on the ponies’ side.
 
Therefore, the narrator must be Discord, which in turn makes it possible that all the ponies believe what they are saying.
 
Either that or Pinkie has more than one giant cupcake, but that’s just silly.
Background Pony #2F2B
Rainbow is telling the truth  
Twilight ate the cupcake
The Smiling Pony
Office Culture - These water cooler conversations sure get heated around here.
Fifth Yacht -
Different Timelines, Same Faces - Celebrated the 15th anniversary of MLP:FiM!
Friendship Games 10th Anniversary - Celebrated the 10th anniversary of EQG Friendship Games!
Grass - ...has been touched
Diamond Trophy - Are you a TAS by any chance?
Cutest Little Devil - Celebrated the 14th anniversary of MLP:FIM!
Rainbow Rocks 10th Anniversary: Sonata Dusk - Celebrated the 10th anniversary of EQG Rainbow Rocks!
Celestial Glory - Helped others get their OC into the 2024 Derpibooru Collab.
Nightmare in the Moon - Had their OC in the 2024 Derpibooru Collab.

( ͠° ͟ʖ ͡° )
@Background Pony #C72D  
Imagine the mini-shitstorm if AJ were part of this and the only logical solution had her as a liar…
 
Wonder if whoever made this kept her out on purpose.
Background Pony #F126
Funny how the Element of HONESTY isn’t there…
 
Applejack ate it
Background Pony #EE55
Fifth Yacht -
Non-Fungible Trixie -
My Little Pony - 1992 Edition
Wallet After Summer Sale -

Hash value is #55EE
There’s an easier train of thought:  
Notice that Flutters’ and RD’s statements must be one true and one false. Then, if only one of them is telling the truth, then it must be one of RD or Flutters. Thus, Twilight is lying, and she ate it.
Miss Shy
Office Culture - These water cooler conversations sure get heated around here.
Fifth Yacht -
Different Timelines, Same Faces - Celebrated the 15th anniversary of MLP:FiM!
Friendship Games 10th Anniversary - Celebrated the 10th anniversary of EQG Friendship Games!
Grass - ...has been touched
Diamond Trophy - Are you a TAS by any chance?
Cutest Little Devil - Celebrated the 14th anniversary of MLP:FIM!
Rainbow Rocks 10th Anniversary: Aria Blaze - Celebrated the 10th anniversary of EQG Rainbow Rocks!
Silly Pony - Celebrated the 13th anniversary of MLP:FIM, and 40 years of MLP!
Solar er - Fought against the New Lunar Republic rebellion on the side of the Solar Deity (April Fools 2023).

You're going to love me.
Guys…seriously?
 
Rainbow Dash is telling the truth. The rest are lying. It only makes sense and there’s only one possibility if Rainbow Dash is the one telling the truth.
 
If Twilight’s telling the truth, that means that she didn’t do it, and Rarity’s lying about Fluttershy doing it, Rainbow Dash is lying about about Fluttershy lying, so that means Fluttershy’s telling the truth, which is impossible.
 
If Fluttershy’s telling the truth, then Rainbow Dash is the one that did it, but Twilight is lying about not doing it,  
so that makes no sense either.
 
If Rarity’s telling the truth, then Fluttershy did it, but again, Twilight’s lying about not doing it, but again,  
Twilight is lying about not doing it.
 
So, Rainbow Dash is telling the truth. Fluttershy is lying about Rainbow Dash eating the dessert, Rarity is lying about Fluttershy eating the dessert, and Twilight is lying about not eating the dessert, which means that Twilight is guilty.
Dragonpone
Mariama - For ing the site
Unamused - Derpi er
Achievement Unlocked - Your journey has come to an end, and after all your hard work and effort, you unlocked the ultimate reward. Also, your fingers probably hurt.
Grass - ...has been touched
Diamond Trophy - Are you a TAS by any chance?
Pixel Perfection - I still call her Lightning Bolt
Solar Guardian - Refused to surrender in the face of the Lunar rebellion and showed utmost loyalty to the Solar Empire (April Fools 2023).
Flower Trio - Helped others get their OC into the 2023 Derpibooru Collab.
Crystal Roseluck - Had their OC in the 2023 Derpibooru Collab.
King Sombra - Celebrated the 10th anniversary of The Crystal Empire!

Badge Dragon
Also I guess if Rainbow was telling the truth Fluttershy and Rarity were just willing to lie to Pinkie and throw their friends under the bus. So much for kindness. :P
FlutteryFly56

Kawaii Hippogriff
I’m just causally watching the comments section
Background Pony #20F8
I’m concerned over the fact that the group has resorted to thievery now, it’s quite demoralizing. Faust would be rolling in her grave if she could see what her little ponies have devolved into (it’s a joke).
I bet that cupcake is the dessert. Dang it Pinkie it was right in front of you the whole time.