DESCRIPTION OF BUSINESS AND BASIS OF PRESENTATION (Additional Information) (Details)	Nov. 15, 2023 $ / shares	Dec. 31, 2023 $ / shares	Dec. 31, 2022 $ / shares
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]
Ordinary shares, par value (in dollars per share)	$ 0.01	$ 0.01	$ 0.01
Stock distribution by separation of business	Company’s shareholders received one ordinary share, nominal value $0.01 per share, of Mural for every ten ordinary shares, par value $0.01 per share, of the Company
Stock distribution ratio by means of separation of business	10
Mural Oncology plc [Member]
Collaborative Arrangement and Arrangement Other than Collaborative [Line Items]
Ordinary shares, par value (in dollars per share)	$ 0.01