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Proof step 5 from proof inv-rmdir (previous step)

dirs[m].entries = ∅, p_inode.nlink = dirs[p_inode.ino].nlink, p_inode.nsubdirs = dirs[p_inode.ino].nsubdirs, p_inode.size = dirs[p_inode.ino].size, boolvar, c_inode = mkinode(m, md, boolvar, m0, m1, m2), dent = mkdentry(str, m), m = dirs[p_inode.ino].entries[str], m0 = dirs[m].nlink, m1 = dirs[m].nsubdirs, m2 = dirs[m].size, p_inode.directory, afs-cons(dirs, files), p_inode.ino ∈ dirs, str ∈ dirs[p_inode.ino].entries, m ∈ dirs, links(p_inode.ino, dirs) ≠ ∅ ∨ p_inode.ino = ROOT_INO ⊦ ⟪afs_rmdir#(; p_inode, c_inode, dent, err, dirs, files; asynced)⟫ afs-cons(dirs, files), m = ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
dirs[dirs[p_inode.ino].entries[str]].entries = ∅, p_inode.nlink = dirs[p_inode.ino].nlink, p_inode.nsubdirs = dirs[p_inode.ino].nsubdirs, p_inode.size = dirs[p_inode.ino].size, c_inode = mkinode (dirs[p_inode.ino].entries[str], md, true, dirs[dirs[p_inode.ino].entries[str]].nlink, dirs[dirs[p_inode.ino].entries[str]].nsubdirs, dirs[dirs[p_inode.ino].entries[str]].size), dent = mkdentry(str, dirs[p_inode.ino].entries[str]), dirs[p_inode.ino].entries[str] ≠ ROOT_INO, p_inode.directory, afs-cons(dirs, files), dirs[p_inode.ino].entries[str] ∈ dirs, str ∈ dirs[p_inode.ino].entries, p_inode.ino ∈ dirs, links(p_inode.ino, dirs) ≠ ∅ ∨ p_inode.ino = ROOT_INO ⊦ ⟪afs_rmdir#(; p_inode, c_inode, dent, err, dirs, files; asynced)⟫ afs-cons(dirs, files)

Proof step 5 from proof inv-rmdir (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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