/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/ is in libpetsc3.4.2-dev 3.4.2.dfsg1-8.1+b1.
This file is owned by root:root, with mode 0o755.
..
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/makefile
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscao.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscdm.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscdmadda.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscdmcartesian.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscdmcomposite.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscdmda.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscdmmesh.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscdmpatch.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscdmplex.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscdmredundant.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscdmshell.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscdraw.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscis.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscksp.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscmat.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscmatfd.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscmatorderings.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscpc.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscpcexotic.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscpcgasm.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscpcmg.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscpetscsf.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscpetscthreadcomm.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscpf.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscprofiling.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscsemilagrange.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscsnes.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscsnesfas.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscsys.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscts.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscvec.h90
/usr/lib/petscdir/3.4.2/include/finclude/ftn-auto/petscviewer.h90