/usr/lib/petscdir/3.1/include/finclude/petsc.h is in libpetsc3.1-dev 3.1.dfsg-11ubuntu1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
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! Single Fortran include file for all of PETSc
!
#include "finclude/petscsys.h"
#include "finclude/petscdraw.h"
#include "finclude/petscviewer.h"
#include "finclude/petscis.h"
#include "finclude/petscvec.h"
#include "finclude/petscmat.h"
#include "finclude/petscpc.h"
#include "finclude/petscksp.h"
#include "finclude/petscsnes.h"
#include "finclude/petscda.h"
#include "finclude/petscmesh.h"
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