不了了之

bùliǎoliǎozhī
  1. to settle a matter by leaving it unsettled
  2. to end up with nothing definite

CEDICT

Entry Composition

1 不了 bùliǎo
  1. (as a resultative verb suffix) unable to (do sth)
  2. (pattern: {verb} + 个 ge + ~) without end; incessantly
=2 了 liǎo
  1. to finish
  2. (used with 得 dé or 不 bù after a verb to express (im)possibility, as in 忘不了 wàngbuliǎo "cannot forget")
  3. (literary) (usually followed by a negative such as 无 wú or 不 bù) completely (not); entirely (not); (not) in the least
  4. to understand clearly (variant of 了 liǎo)
=2 了 liǎo
  1. (of eyes) bright
  2. clear-sighted
  3. to understand clearly
3 之 zhī
  1. (possessive particle, literary equivalent of 的 de)
  2. him
  3. her
  4. it