\version "2.13.32"
\header {

  texidoc = "
Rests should not keep staves alive when
@code{\RemoveEmptyStaffContext} is active.  The
following example should have only one staff.
"

}

\score {
 <<
   \new Staff {
     \partial 16 r16 | R1 | r1
   }
   \new Staff {
     \partial 16 c'16 | c'1 | c'1
   }
 >>

 \layout { \context { \RemoveEmptyStaffContext
     \override VerticalAxisGroup #'remove-first = ##t } }
}