/usr/lib/x86_64-linux-gnu/libsphinxad.so is in libsphinxbase-dev 0.8+5prealpha-2ubuntu1.
This file is owned by root:root, with mode 0o777.
It is a symlink to /usr/lib/x86_64-linux-gnu/libsphinxad.so.3.0.0
/usr/lib/x86_64-linux-gnu/libsphinxad.so.3.0.0