insoluble

adjectives

(of a substance) incapable of being dissolved
is derived from
antonym
admitting of no solution or explanation
"an insoluble doubt"
is derived from
antonym
is similar to
not easily solved
"an apparantly insolvable problem"; "public finance...had long presented problems unsolvable or at least unsolved"- C.L.Jones
see also
incapable of being explained or accounted for
"inexplicable errors"; "left the house at three in the morning for inexplicable reasons"
without hope of solution
"an insoluble problem"
is derived from
is similar to
without hope because there seems to be no possibility of comfort or success
"in an agony of hopeless grief"; "with a hopeless sigh he sat down"