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Proof step 526 from proof inv-write (previous step)

# links(m, dirs) = m3, of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m1, md, m3, content0), files[m] = mkfile(m2, md0, m3, content), m1 < m0 + ino4, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files0), of-cons(of, dirs, files), of-cons(of, dirs, files0), m ∈ files0, fd ∈ of, m ∈ files, n ≤ # buf0 ⊦ ino4 = 0, n = 0, of-cons(of[fd, mkfile(m, mode, m0 + ino4)], dirs, files[m, (files[m].meta:= md).size:= (m0 + ino4)]) ∧ afs-cons(dirs, files[m, (files[m].meta:= md).size:= (m0 + ino4)]), err1 = ESUCCESS ∧ ¬ isdir, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, mode ≠ MODE_W ∧ mode ≠ MODE_RW

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 527:
of[fd] = mkfile(m, mode, m0), files0[m] = mkfile(m1, md, # links(m, dirs), content0), files[m] = mkfile(m2, md0, # links(m, dirs), content), m1 < m0 + ino4, dom of < ino3, afs-cons(dirs, files), afs-cons(dirs, files0), of-cons(of, dirs, files), of-cons(of, dirs, files0), m ∈ files0, fd ∈ of, m ∈ files, n ≤ # buf0 ⊦ ino4 = 0, n = 0, err1 = ESUCCESS ∧ ¬ isdir, m1 % VFS_PAGE_SIZE ≠ 0 ∧ m1 / VFS_PAGE_SIZE ∈ content0, mode ≠ MODE_W ∧ mode ≠ MODE_RW, of-cons(of[fd, mkfile(m, mode, m0 + ino4)], dirs, files[m, mkfile(m0 + ino4, md, # links(m, dirs), content)]) ∧ afs-cons(dirs, files[m, mkfile(m0 + ino4, md, # links(m, dirs), content)])

Rule argument

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content).size:= m1 = mkfile(m1, md, m0, content); (s)% ⊦ mkfile(m, md, m0, content).meta:= md0 = mkfile(m, md0, m0, content); (s)