The antonyms for the phrase "holding inquiry" are quite expansive due to the different meanings of the word holding and inquiry. Some antonyms for holding could be releasing, letting go, giving up, or surrendering. For inquiry, the antonyms could be ignoring, dismissing, neglecting, or disregarding. Therefore, some possible antonyms for "holding inquiry" could include releasing ignorance, dismissing curiosity, neglecting investigation, giving up research, or surrendering examination. However, it is important to note that these antonyms may not always have the exact opposite meaning and context would need to be considered.