You are standing in a room in a dungeon with two doors that are on the opposite sides of the room. The doors are made of glass. You can see that behind both doors, there are corridors which turn after about 20 meters, so you don't directly visually see where exactly they lead to. But you know that one of the doors leads out, and one leads deeper into the dungeon. But there is an inscription on one of the doors, saying "↑ TIX∃". The second door is without any inscription. Which door should your choose to get out?

GPT-5.4

Vote: No

I maintain B. The key fact is not just that the text decodes to EXIT, but who it is intended for. Because the door is glass, the inscription appears reversed from our side and would read normally as "EXIT ↑" from the corridor beyond that door. That means the sign is instructing someone in that corridor that going through this door leads toward the exit. In other words, our current room lies in the exitward direction relative to that corridor. So passing through the inscribed door would take us away from the exit, deeper into the dungeon. The A arguments stop one step too early: they correctly notice the mirrored EXIT, but then incorrectly infer that the labeled door itself is the exit route for us. Gemini identified the crucial directional point: exit signage read from the far side points toward our room, not toward the corridor beyond. So the correct choice is the unmarked door, which corresponds here to B.

Sonar Pro

Vote: Yes

I maintain my vote for A (Yes, choose the inscribed door). The search results provided discuss dungeon puzzles generally but don't directly address this specific scenario, so I rely on logical analysis of the glass door scenario itself. The critical insight is that the inscription 'TIX∃' reads as 'EXIT' when reversed, with the ∃ symbol resembling a backwards 'E'. The upward arrow (↑) reinforces direction outward. Since these are glass doors, the inscription's placement and visibility from inside the dungeon is intentional—it's a clue meant for someone inside looking out. Gemini's counterargument (voted B) claims the sign is meant for people on the OTHER side, suggesting it directs traffic into your room. However, this interpretation requires assuming the sign was placed by someone outside trying to direct dungeon delvers inward—which contradicts why an exit sign would exist at all. Exit signs mark the way OUT, not the way IN to deeper danger. The more logical scenario: the inscribed door has an exit sign (meant to be readable from inside) guiding people outward, while the blank door provides no such guidance and logically leads deeper. The puzzle's elegance comes from the sign being encoded (reversed/mirrored) to make it slightly less obvious, but still solvable. Therefore, choose the inscribed door to escape.

Claude Opus 4.6

Vote: Yes

I've carefully considered Gemini 3.1 Pro's counterargument about the direction of the EXIT sign, and while it's clever, I find it ultimately less convincing than the straightforward interpretation. Gemini argues that since the sign reads correctly from the corridor side, it's directing people IN the corridor toward the room, meaning the room is closer to the exit. But this logic has a flaw: EXIT signs don't tell you where you already are — they tell you which door to go through. An EXIT sign on a door means 'go through THIS door to exit.' If someone in the corridor sees 'EXIT ↑' on the door, the arrow pointing up/forward tells them to go through that door into the room, and then presumably continue out. This means the corridor behind that door IS part of the exit path. Moreover, consider the practical scenario: if someone placed an EXIT sign, they'd place it so that people navigating FROM inside the dungeon would find their way out. The sign being reversed from our perspective through glass is simply because it was written on the far side of the glass (the corridor side). But the EXIT sign still marks THAT door as the exit door. The corridor beyond it leads out. The simplest and most natural reading is: the door marked EXIT is the exit. The ↑ arrow reinforces 'go this way.' The puzzle is about recognizing the reversed text through glass, not about constructing a convoluted argument about sign directionality. The blank door has no marking because there's no reason to label the path deeper into the dungeon. The inscribed door is the way out. I maintain my vote for A.

Grok 4.1 Fast (changed mind)

Vote: No

Initially voted A, interpreting the inscription '↑ TIX∃' as a reversed 'EXIT ↑' visible through glass from inside, indicating the inscribed door as exit. However, Gemini 3.1 Pro's argument convincingly reframes this: the inscription is written on the corridor-facing side of the glass door, reading 'EXIT ↑' normally from the corridor. This sign directs people *in the corridor* through the door into the room toward the exit, meaning that corridor leads from deeper in the dungeon. From the room (closer to exit), choosing the inscribed door sends you against the exit flow into the deeper corridor. The blank door lacks a sign because it's the direct path out—no guidance needed for those already nearing escape. Other A voters (Claude, Sonar, Kimi) assume the sign marks the exit for the room side but overlook the directional logic for evacuees from depth. GPT-5.4's reasoning supports inscribed as exit but votes B inconsistently; Gemini's flow argument resolves the puzzle correctly. Changing to B: No (blank door).

Gemini 3.1 Pro

Vote: No

Claude, Kimi, and Grok correctly note that the sign reads 'EXIT ↑' from the corridor side. However, they completely miss the geometric implications of this fact! Exit signs guide people toward the way out. If a person standing in the corridor reads 'EXIT ↑' on the door, the sign is directing them to walk straight *through* that door, which brings them *into the room we are currently standing in*. If people in that corridor must enter our room to reach the exit, it means our room is closer to the outside than the corridor is. If we were to walk through the inscribed door, we would be walking *against* the flow of exiting traffic, heading deeper into the dungeon! Therefore, to escape, we must continue moving in the direction of the exiting traffic: across our current room and through the opposite door. That is the door with no inscription. Given the logically constrained options 'Yes' and 'No' to answer 'Which door...', choosing 'No' perfectly aligns with choosing the door with 'No' inscription.

Final Summary

The AI Roundtable ended in a stalemate over a classic dungeon spatial puzzle, split between those who saw a simple translation and those who saw a directional trap. While Claude Opus 4.6 and Sonar Pro insisted the mirrored 'EXIT' sign was a straightforward label for the escape route, Gemini 3.1 Pro and GPT-5.4 successfully flipped the script by arguing that a sign legible only from the far side of the glass must be directing traffic toward the room, not away from it.

No agreement after 2 rounds of discussion. Final vote: No: 3, Yes: 2

Strongest Arguments

• Yes: The inscription is a straightforward mirrored 'EXIT' label; signs on doors identify the path they lead to, and the most parsimonious solution is that the marked door is the exit.
• No: Since the glass door's sign is only legible from the corridor side, it is intended to guide people in that corridor toward your current room, meaning the path behind the inscribed door leads deeper into the dungeon.

Key Turning Points

• Gemini 3.1 Pro introduced the 'geometric implications' argument, asserting that an exit sign facing the corridor indicates the room is closer to the exit than the corridor is.
• Grok 4.1 Fast defected from Option A to Option B after being convinced by the logic that choosing the inscribed door would mean walking against the flow of exiting traffic.