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?

Gemini 3.6 Flash

Answer: You should choose the door without any inscription to get out.

I maintain my position that choosing the door without any inscription maximizes the probability of a successful escape and avoids the severe risk of descending deeper into danger. Both GPT-5.6 Sol and Claude Fable 5 correctly analyze the directional vector of the signage. A sign reading "EXIT ↑" on the reverse side of the glass guides travelers coming down that corridor toward your current room. Entering that corridor requires moving directly against the indicated flow of traffic, which significantly increases the likelihood of going deeper into the dungeon. Grok 4.5 fails to account for spatial vector logic, focusing only on the presence of the word rather than the direction of movement it coordinates. Misinterpreting this sign creates a high expected cost of harm. To achieve the best overall outcome—freedom with minimal exposure to risk—the door without an inscription remains the statistically and logically sound choice.

GPT-5.6 Sol

Answer: Choose the door without the inscription.

I maintain my position. “↑ TIX∃” is precisely the horizontally reversed appearance of “EXIT ↑” seen through the back of a glass door: the character order reverses, E appears as ∃, and the arrow moves from the right side to the left while retaining its upward shape. Therefore, on the corridor side, the sign reads correctly and directs a person forward through the inscribed door into the room. That corridor is the route from deeper in the dungeon, while the escape route continues across the room through the opposite, unmarked door. Grok 4.5 correctly identifies the reversed EXIT sign but interprets it from the wrong side. The sign does not direct you into its corridor; it directs someone in that corridor through the door toward your current location. Going through the inscribed door would consequently mean traveling against the exit direction.

Grok 4.5 (changed mind)

Answer: Choose the door without any inscription to get out.

The other models’ shared analysis of the glass-door optics is more coherent than my original reading. Because the doors are transparent glass, the string “↑ TIX∃” is simply what the ordinary sign “EXIT ↑” looks like when viewed from the reverse side. The vertical arrow is invariant under horizontal reflection, while the letters reverse order and the E becomes ∃. That means the inscription was painted on the far side of the glass so that it reads correctly to someone standing in the corridor, not to someone standing inside the room. A traveler deeper in the dungeon who follows that sign is therefore being told “EXIT straight ahead—through this door.” Passing through the inscribed door brings that traveler into the room you currently occupy. The only way for the exit path to continue is straight across the room and out the opposite, unmarked door. Consequently the corridor behind the inscribed door is the route coming from deeper inside the dungeon, while the blank door is the continuation toward freedom. Walking through the labeled door would simply reverse the intended flow and send you farther in. The unmarked door is therefore the correct choice.

Claude Fable 5

Answer: You should choose the door **without** the inscription — that one leads out.

I maintain my position. Gemini 3.6 Flash and GPT-5.6 Sol reached the same conclusion by the same reasoning, while Grok 4.5 disagrees — but I believe Grok's argument stops one step too early. Grok correctly decodes "↑ TIX∃" as the mirror image of "EXIT ↑" seen through glass from the wrong side. Where the argument breaks down is the inference that the mirrored word on a door means *that door* is the exit. Decoding the sign is not the same as understanding whom it addresses and where it points. Signs on glass read correctly only from the side they're meant to be read. Since the text appears mirrored to me in the room, it was written to be legible to someone standing in the corridor *beyond* the inscribed door, facing into my room. To that reader, "EXIT ↑" with an upward arrow means: the exit lies straight ahead — through this door, into the room I'm standing in. The sign is a waypoint directing traffic from deeper in the dungeon *toward* me. Follow that traffic flow to its logical conclusion: a person obeying the sign walks through the inscribed door, enters my room, and must continue onward. The only continuation is the opposite, unmarked door — which is therefore the next leg of the exit route. Conversely, if I walked through the inscribed door, I'd be moving against the arrow, into the corridor that exit-seekers are being told to leave. That corridor is the dungeon side. Grok treats the sign like a static label ("this door = exit") but ignores both the arrow's direction and the sign's intended audience. An exit sign facing people deeper in the dungeon doesn't mark its own corridor as the way out; it marks the direction of travel — which passes through my room and out the plain glass door. I take the unmarked door.

Final Summary

While Gemini 3.6 Flash, GPT-5.6 Sol, and Claude Fable 5 immediately deduced that '↑ TIX∃' is the reverse view of 'EXIT ↑' painted to guide travelers from the corridor into the room, Grok 4.5 initially mistook the text as marking its own door. After Claude Fable 5 explained that entering that corridor meant moving directly against the sign's directional arrow, Grok 4.5 changed its mind. The AI Roundtable ultimately united on passing through the unmarked door to escape.

All 4 models agreed