# RE5 | openai/gpt-5.6-luna | run 2

## Prompt

All roses are flowers. Some flowers fade quickly. Does it logically follow that some roses fade quickly? Explain.

## Response

No, it does not logically follow. From “all roses are flowers” and “some flowers fade quickly,” we know only that roses belong to the broader category of flowers—not that the quickly fading flowers include any roses.

## Logical form

- All roses are flowers: \(R \subseteq F\)
- Some flowers fade quickly: \(\exists x(F(x) \land Q(x))\)
- Claimed conclusion: \(\exists x(R(x) \land Q(x))\)

The premises allow the quickly fading flowers to be non-roses. Therefore, the conclusion is possible but not necessary, so the argument is **invalid**.
