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Proof step 33 from proof inv-write (previous step)

of[fd] = mkfile(m, mode, m0), buf-opt = none, dirs1 = dirs, err = ESUCCESS, err0 = ESUCCESS, ino = m, ino0 = 0, ino1 = m0 + n, ino2 = m0, inode = getinode(ino, dirs, files), pageno = 0, dom of < ino3, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of, n ≤ # buf ⊦ [afs_truncate#(inode.size, inode.size / VFS_PAGE_SIZE; buf-opt, inode, isdir, err, dirs, files, asynced); if err = ESUCCESS then vfs_write_loop#(ino2, inode, ino1, buf, dirs; ino0, err, files, asynced); if ino0 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n := ino0, ino1 := ino2 + ino0; if ino0 ≠ 0 ∧ ino < ino1 then {inode.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)}; if err ≠ ESUCCESS then n := (ino2 ≤ ino ⊃ ino - ino2;0), err := ESUCCESS; of[fd].pos := ino2 + n}] (dirs1 = dirs → of-cons(of, dirs, files) ∧ dom of < ino3 ∧ afs-cons(dirs, files)), VFS_PAGE_SIZE = 0, n = 0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
of[fd] = mkfile(m, mode, m0), buf-opt = none, dirs1 = dirs, err = ESUCCESS, inode = mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size), n ≠ 0, dom of < ino3, afs-cons(dirs, files), of-cons(of, dirs, files), fd ∈ of, n ≤ # buf ⊦ [afs_truncate#(files[m].size, files[m].size / VFS_PAGE_SIZE; buf-opt, inode, isdir, err, dirs, files, asynced); ino0 := 0; if err = ESUCCESS then vfs_write_loop#(m0, inode, m0 + n, buf, dirs; ino0, err, files, asynced); if ino0 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode.size in {n := ino0, ino1 := m0 + ino0; if ino0 ≠ 0 ∧ ino < ino1 then {inode.size := ino1; afs_check_commit#(dirs, files; err; asynced); if err = ESUCCESS then afs_write_inode#(inode; err, dirs, files; asynced)}; if err ≠ ESUCCESS then n := (m0 ≤ ino ⊃ ino - m0;0), err := ESUCCESS; of[fd].pos := m0 + n}] (dirs1 = dirs → of-cons(of, dirs, files) ∧ dom of < ino3 ∧ afs-cons(dirs, files)), mode ≠ MODE_W ∧ mode ≠ MODE_RW

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)%⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) ∧ afs-cons(dirs, files) → ¬ ino ∈ dirs; (s)%⊦ getinode(ino, dirs, files) = (ino ∈ dirs ⊃ mkinode (ino, dirs[ino].meta, true, dirs[ino].nlink, dirs[ino].nsubdirs, dirs[ino].size) ;mkinode (ino, files[ino].meta, false, files[ino].nlink, 0, files[ino].size) ); (s)