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Proof step 4 from proof crash-neutral-mkdir (previous step)

p_inode.nlink = dirs[p_inode.ino].nlink, p_inode.nsubdirs = dirs[p_inode.ino].nsubdirs, p_inode.size = dirs[p_inode.ino].size, dent = negdentry(str), dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), p_inode.directory, dent.negdentry?, afs-cons(dirs, files), p_inode.ino ∈ dirs, links(p_inode.ino, dirs) ≠ ∅ ∨ p_inode.ino = ROOT_INO ⊦ ⟨afs_mkdir#(md; p_inode, c_inode, dent, err, dirs, files; asynced)⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files)), str ∈ dirs[p_inode.ino].entries

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
p_inode.nlink = dirs[p_inode.ino].nlink, p_inode.nsubdirs = dirs[p_inode.ino].nsubdirs, p_inode.size = dirs[p_inode.ino].size, dent = negdentry(str), dirs0 = dirs \ orphans(dirs, files), files0 = files \ orphans(dirs, files), p_inode.directory, afs-cons(dirs, files), p_inode.ino ∈ dirs, ¬ str ∈ dirs[p_inode.ino].entries, links(p_inode.ino, dirs) ≠ ∅ ∨ p_inode.ino = ROOT_INO ⊦ ⟨afs_mkdir#(md; p_inode, c_inode, dent, err, dirs, files; asynced)⟩ (asynced ∧ dirs0 = dirs \ orphans(dirs, files) ∧ files0 = files \ orphans(dirs, files))

Rule argument

Additional information

Used simplifier rules: ⊦ negdentry(str).negdentry?; (s)