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Proof step 343 from proof inv-write (previous step)

VFS_PAGE_SIZE = n1 + m1 % VFS_PAGE_SIZE, of[fd] = mkfile(m, mode, m0), files1[m] = mkfile(m1, md, # links(m, dirs), content0), dirs1 = dirs, err = ESUCCESS, files = files2, files0 = files, files2 = files1 [m, mkfile(m1, md, # links(m, dirs), content0[m1 / VFS_PAGE_SIZE, fill(content0[m1 / VFS_PAGE_SIZE], zero, m1 % VFS_PAGE_SIZE, n1)] upto m1) ], ino = inode.ino, ino4 = 0, inode = mkinode(m, md, false, # links(m, dirs), 0, m1), inode0 = (inode1.ino ∈ dirs ⊃ mkinode(inode1.ino, dirs[inode1.ino].meta, true, dirs[inode1.ino].nlink, dirs[inode1.ino].nsubdirs, dirs[inode1.ino].size) ;mkinode(inode1.ino, files[inode1.ino].meta, false, files[inode1.ino].nlink, 0, files[inode1.ino].size) ), inode1 = mkinode(m, md, false, # links(m, dirs), 0, m1), dom of < ino3, afs-cons(dirs, files1), of-cons(of, dirs, files1), m1 / VFS_PAGE_SIZE ∈ content0, m ∈ files1, fd ∈ of, n0 ≤ # buf0 ⊦ [vfs_write_loop#(m0, inode0, m0 + n0, buf0, dirs; ino4, err, files0, asynced); if ino4 ≠ 0 then err := ESUCCESS; if err = ESUCCESS then let ino = inode0.size in {n0 := ino4, ino1 := m0 + ino4; if ino4 ≠ 0 ∧ ino < ino1 then {inode0.size := ino1; afs_check_commit#(dirs, files0; err; asynced); if err = ESUCCESS then afs_write_inode#(inode0; err, dirs, files0; asynced)}; if err ≠ ESUCCESS then n0 := (m0 ≤ ino ⊃ ino - m0;0), err := ESUCCESS; of[fd].pos := m0 + n0}] (dirs1 = dirs → of-cons(of, dirs, files0) ∧ dom of < ino3 ∧ afs-cons(dirs, files0)), m1 % VFS_PAGE_SIZE = 0, n0 = 0, ino ∈ dirs, ino ∈ files, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ of-cons(of, dirs, files) ∧ fd ∈ of ∧ of[fd] = mkfile(ino, mode, n) → ino ∈ files; (ss)% ⊦ ino ∈ files[ino0, af] ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)