| cache_dirs[m] = mkdir(m0, md1, # links(m, cache_dirs), m2, entries0), cache_dirs[entries0[str]] = mkdir(m1, md3, # links(entries0[str], cache_dirs), m4, ∅), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, c_inode = p_inode1, c_inode0 = mkinode(entries0[str], md0, true, # links(entries0[str], cache_dirs), m4, m1), cache_dirs0 = cache_dirs, dent = dent0, dent0 = mkdentry(str, entries0[str]), dirs = cache_dirs, err = err1, files = afs_files, p_inode = p_inode0, p_inode0 = mkinode(m, md, true, # links(m, cache_dirs), m2, m0), p_inode1 = mkinode(entries0[str], md0, true, # links(entries0[str], cache_dirs), m4, m1), p_inode2 = mkinode(m, md, true, # links(m, cache_dirs), m2, m0), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), entries0[str] ∈ cache_dirs, m ∈ cache_dirs, str ∈ entries0, ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨abort⟩ ( dirs = cache_dirs0 ∧ files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (asynced ↔ asynced0) ∧ p_inode2 = p_inode ∧ c_inode0 = c_inode ∧ mkdentry(str, entries0[str]) = dent ∧ err0 = err), entries0[str] = ROOT_INO, pre-rmdir(p_inode, c_inode, dent, dirs, files) |
cache_dirs[entries0[str]] = mkdir(m1, md3, # links(entries0[str], cache_dirs), m4, ∅), cache_dirs[m] = mkdir(m0, md1, # links(m, cache_dirs), m2, entries0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, c_inode = p_inode1, c_inode0 = mkinode(entries0[str], md0, true, # links(entries0[str], cache_dirs), m4, m1), cache_dirs0 = cache_dirs, dent = dent0, dent0 = mkdentry(str, entries0[str]), dirs = cache_dirs, err = err1, files = afs_files, p_inode = p_inode0, p_inode0 = mkinode(m, md, true, # links(m, cache_dirs), m2, m0), p_inode1 = mkinode(entries0[str], md0, true, # links(entries0[str], cache_dirs), m4, m1), p_inode2 = mkinode(m, md, true, # links(m, cache_dirs), m2, m0), afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), str ∈ entries0, m ∈ cache_dirs, entries0[str] ∈ cache_dirs, ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ entries0[str] = ROOT_INO, pre-rmdir(p_inode, c_inode, dent, dirs, files)