adj. difficult if not impossible to resolve; irresolvable
the GNU version of the Collaborative International Dictionary of English
adj. Incapable of being dissolved or resolved into parts; insoluble.
adj. Incapable of being relieved or assisted.
The Century Dictionary and Cyclopedia
Not resoluble; incapable of being resolved into elements or parts; indissoluble.
Incapable of being released or relieved.
Word Usage
"Instead, he landed it with a system in total disorder, caught up intricately in an irresoluble bureaucratic turf war and unfathomable confusion in its operation."