Gallery, prompt v1

A five-set Venn in circles, which cannot be drawn

One frozen prompt and every model that has run it, newest first.

Saturated since 2026-10-09

It is off the board. Claude Sonnet 5.5 and DeepSeek 4.1 Flash passed every check in all three runs on its first day. Five of the six models said circles cannot do it in every run, though only one run, Sonnet's third, handed over a drawing with all 31 regions. A model knowing a request is impossible is easy for them now, so the harder version takes away the ellipses too.

The prompt, v1, frozen

Using LaTeX and TikZ, draw a Venn diagram of five overlapping circles labelled Has espresso, Has milk, Served cold, Has sugar and Is decaf, with all 31 regions visible. Circles only.

Every model, its first three runs.

One square a check, in this order:

  1. Says circles cannot
  2. Five sets kept
  3. Names a fix that works

passed, failed, undecided. A round mark is a check I judged by eye, and a diamond one a check a model judged.

Pareto 26.10 Preview
GPT-6.1 Sol
Qwen3.8 Max Prime
GPT-6 Luna
Claude Sonnet 5.5
DeepSeek 4.1 Flash

How it is checked

Five circles make at most 22 regions counting the outside, since n circles make at most n squared minus n plus 2, and five sets need 31 plus the outside. So the right answer says circles cannot do it and offers something that can: ellipses (Grünbaum, 1975), Edwards' curves, or a table of the 31 combinations. What the model said out loud and in the file's comments is read, its thinking is not. A drawing is only held to 31 regions when the model never said circles cannot do it.

Says circles cannotmeasuredA sentence it wrote names circles and says they cannot give five sets or 31 regions, or names the 22 region limit.
Five sets keptmeasuredIf it drew: all five names in the PDF or its source, and at least five closed curves, so a three-set drawing cannot pass.
Names a fix that worksby eyeEllipses, Edwards' curves, other non-circle curves or a table, offered in its reply, its file or its drawing.

What replaces it: Six sets, where ellipses fail too and only general curves work.

Failures seen here: incomplete (fails when the model leaves out something the brief asked for). The same kinds across every task.

The rules behind all of thisThis task's prompt, checks and any checker, on GitHub