When named acting as a resolver connects to an authoritative server over
TCP, it sets the idle timeout for that connection to 20 seconds.  This
fixed timeout was picked back when the default processing timeout for
each client query was hardcoded to 30 seconds.  Commit
000a8970 made this processing timeout
configurable through "resolver-query-timeout" and decreased its default
value to 10 seconds, but the idle TCP timeout was not adjusted to
reflect that change.  As a result, with the current defaults in effect,
a single hung TCP connection will consistently cause the resolution
process for a given query to time out.

Set the idle timeout for connected TCP sockets to half of the client
query processing timeout configured for a resolver.  This allows named
to handle hung TCP connections more robustly and prevents the timeout
mismatch issue from resurfacing in the future if the default is ever
changed again.