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Proof step 11 from proof inv-mkdir (previous step)

dirs[m] = mkdir(m0, md1, # links(m, dirs), m2, entries), dent = negdentry(str), p_inode = mkinode(m, md0, true, # links(m, dirs), m2, m0), afs-cons(dirs, files), pre-mkdir(p_inode, dent, md, dirs, files), m ∈ dirs, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪choose ino with ¬ ino ∈ dirs ∧ ¬ ino ∈ files ∧ ino ≠ 0 in afs_mkdir_ino#(p_inode.ino, md, ino; dent, err, dirs); afs_inode_sync#(p_inode; dirs, files); p_inode := getinode(p_inode.ino, dirs, files); c_inode := getinode(dent.ino, dirs, files); asynced := ?⟫ afs-cons(dirs, files), str ∈ entries

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Proof step 12:
dirs[m] = mkdir(m0, md1, # links(m, dirs), m2, entries), dent = negdentry(str), p_inode = mkinode(m, md0, true, # links(m, dirs), m2, m0), afs-cons(dirs, files), pre-mkdir(p_inode, dent, md, dirs, files), m ∈ dirs, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪afs_mkdir_ino#(p_inode.ino, md, ino; dent, err, dirs); afs_inode_sync#(p_inode; dirs, files); p_inode := getinode(p_inode.ino, dirs, files); c_inode := getinode(dent.ino, dirs, files); asynced := ?⟫ afs-cons(dirs, files), ino = 0, str ∈ entries, ino ∈ files, ino ∈ dirs
Proof step 42:
dirs[m] = mkdir(m0, md1, # links(m, dirs), m2, entries), dent = negdentry(str), p_inode = mkinode(m, md0, true, # links(m, dirs), m2, m0), afs-cons(dirs, files), pre-mkdir(p_inode, dent, md, dirs, files), m ∈ dirs, links(m, dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ str ∈ entries, ∃ ino. ¬ ino ∈ dirs ∧ ¬ ino ∈ files ∧ ino ≠ 0

Proof step 11 from proof inv-mkdir (previous step)

Heuristic symbolic execution applied rule choose right

And obtained the following new goals

Rule argument

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