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Proof step 15 from proof inv-unlink (previous step)

c_inode.ino = entries[str], c_inode.nlink = files[entries[str]].nlink, c_inode.nsubdirs = 0, dirs[m] = mkdir(m0, md0, # links(m, dirs), m2, entries), dent = mkdentry(str, entries[str]), ino = dent.ino, p_ino = p_inode.ino, p_inode = mkinode(m, md, true, # links(m, dirs), m2, m0), dent.dentry?, afs-cons(dirs, files), pre-unlink(p_inode, c_inode, dent, dirs, files), entries[str] ∈ files, str ∈ entries, m ∈ dirs, dirs[p_ino, dirs[p_ino].entries:= (dirs[p_ino].entries -- dent.name)][p_ino].size ≥ 1, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪dirs := dirs[p_ino, dirs[p_ino].entries:= (dirs[p_ino].entries -- dent.name)] [p_ino, dirs[p_ino, dirs[p_ino].entries:= (dirs[p_ino].entries -- dent.name)][p_ino] .size:= (dirs[p_ino, dirs[p_ino].entries:= (dirs[p_ino].entries -- dent.name)][p_ino].size - 1) ]; afs_drop_nlink#(ino; dirs, files); dent := negdentry(dent.name); afs_inode_sync#(p_inode; dirs, files); afs_inode_sync#(c_inode; dirs, files); p_inode := getinode(p_inode.ino, dirs, files); c_inode := getinode(c_inode.ino, dirs, files); err := ESUCCESS; asynced := ?⟫ afs-cons(dirs, files), c_inode.directory

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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