For the purposes of this market, I'll be tracking only five major markets for SF short fiction.

Analog Science Fiction & Fact, Asimov's Science Fiction, and Clarkesworld:

We will not consider any submissions written, developed, or assisted by these tools. Attempting to submit these works may result in being banned from submitting works in the future.

Lightspeed:

Until the ethical questions surrounding the use of AI tools such as ChatGPT for commercial purposes are resolved, we will not accept submissions that are written with—or entirely by—AI.

Uncanny Magazine:

Please note that Uncanny Magazine does not accept any submissions written with artificial intelligence or similar technologies. These submissions will be rejected, and authors will no longer be able to submit to Uncanny Magazine if they didn’t disclose that they used artificial intelligence or similar technologies for creating their submissions.

Clarifications that it's okay to get ideas from AI or an LLM don't count, nor do explicitly allowing banal things that might technically use neural networks like spellcheckers. To resolve YES, one of these markets has to allow for LLMs to be involved in some part of actually writing a story.