The article analyses the ruling of the Cassation Administrative Court within the Supreme Court of Ukraine dated January 15, 2026, in case No. 240/14153/24, where the opening of cassation proceedings was refused due to references to non-existent resolutions attributed to "AI hallucinations." It examines issues of violation of the principles of adversarial proceedings, absence of expertise, and exceeding judicial functions. A comparison is made with practices in the USA and the EU, where AI is integrated with ethical guidelines, including an analysis of the European Regulation (AI Act) regarding the use of AI in the legal field. Recommendations are proposed for regulating the use of AI in Ukrainian judicial proceedings.