| cache_dirs[entries1[str0]] = mkdir(m6, md6, # links(entries1[str0], cache_dirs), m9, entries), cache_dirs[entries0[str]] = mkdir(m4, md4, # links(entries0[str], cache_dirs), m7, ∅), cache_dirs[m] = mkdir(m0, md5, # links(m, cache_dirs), m2, entries0), cache_dirs[m3] = mkdir(m1, md7, # links(m3, cache_dirs), m5, entries1), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_dirs0 = cache_dirs, cache_dirs1 = cache_dirs, cache_dirs2 = cache_dirs, err = err0, new_child_inode = mkinode(entries0[str], md1, true, # links(entries0[str], cache_dirs), m7, m4), new_child_inode0 = mkinode(entries0[str], md1, true, # links(entries0[str], cache_dirs), m7, m4), new_dent = mkdentry(str, entries0[str]), new_dent0 = mkdentry(str, entries0[str]), new_parent_inode = mkinode(m, md, true, # links(m, cache_dirs), m2, m0), new_parent_inode0 = mkinode(m, md, true, # links(m, cache_dirs), m2, m0), old_child_inode0 = mkinode(entries1[str0], md2, true, # links(entries1[str0], cache_dirs), m9, m6), old_dent = mkdentry(str0, entries1[str0]), old_dent0 = mkdentry(str0, entries1[str0]), old_parent_inode = mkinode(m3, md0, true, # links(m3, cache_dirs), m5, m1), old_parent_inode0 = mkinode(m3, md0, true, # links(m3, cache_dirs), m5, m1), 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), str0 ∈ entries1, entries0[str] ∈ cache_dirs, entries1[str0] ∈ cache_dirs, m ∈ cache_dirs, m3 ∈ cache_dirs, str ∈ entries0, ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), m = m3 → md = md0, links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO, links(m3, cache_dirs) ≠ ∅ ∨ m3 = ROOT_INO ⊦ ⟨afs_rename# (; old_parent_inode0, new_parent_inode0, old_child_inode0, new_child_inode0, old_dent0, new_dent0, err1, cache_dirs, afs_files; afs_asynced)⟩ ( old_parent_inode = old_parent_inode0 ∧ new_parent_inode = new_parent_inode0 ∧ mkinode (entries1[str0], md2, true, # links(entries1[str0], cache_dirs0), cache_dirs1[entries1[str0]].nsubdirs, cache_dirs2[entries1[str0]].size) = old_child_inode0 ∧ new_child_inode = new_child_inode0 ∧ old_dent = old_dent0 ∧ new_dent = new_dent0 ∧ err = err1 ∧ cache_dirs = cache_dirs0 ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced)), entries0[str] = ROOT_INO |
cache_dirs[m3] = mkdir(m1, md7, # links(m3, cache_dirs), m5, entries1), cache_dirs[m] = mkdir(m0, md5, # links(m, cache_dirs), m2, entries0), cache_dirs[entries0[str]] = mkdir(m4, md4, # links(entries0[str], cache_dirs), m7, ∅), cache_dirs[entries1[str0]] = mkdir(m6, md6, # links(entries1[str0], cache_dirs), m9, entries), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_dirs0 = cache_dirs, new_child_inode = mkinode(entries0[str], md1, true, # links(entries0[str], cache_dirs), m7, m4), new_child_inode0 = mkinode(entries0[str], md1, true, # links(entries0[str], cache_dirs), m7, m4), new_dent0 = mkdentry(str, entries0[str]), new_parent_inode = mkinode(m, md, true, # links(m, cache_dirs), m2, m0), new_parent_inode0 = mkinode(m, md, true, # links(m, cache_dirs), m2, m0), old_child_inode0 = mkinode(entries1[str0], md2, true, # links(entries1[str0], cache_dirs), m9, m6), old_dent0 = mkdentry(str0, entries1[str0]), old_parent_inode = mkinode(m3, md0, true, # links(m3, cache_dirs), m5, m1), old_parent_inode0 = mkinode(m3, md0, true, # links(m3, cache_dirs), m5, m1), entries0[str] ≠ ROOT_INO, 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), str ∈ entries0, m3 ∈ cache_dirs, m ∈ cache_dirs, entries1[str0] ∈ cache_dirs, entries0[str] ∈ cache_dirs, str0 ∈ entries1, ⌊err0⌋ , m = m3 → md = md0, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m3, cache_dirs) ≠ ∅ ∨ m3 = ROOT_INO, links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨afs_rename# (; old_parent_inode0, new_parent_inode0, old_child_inode0, new_child_inode0, old_dent0, new_dent0, err1, cache_dirs, afs_files; afs_asynced)⟩ ( old_parent_inode = old_parent_inode0 ∧ new_parent_inode = new_parent_inode0 ∧ mkinode (entries1[str0], md2, true, # links(entries1[str0], cache_dirs0), cache_dirs0[entries1[str0]].nsubdirs, cache_dirs0[entries1[str0]].size) = old_child_inode0 ∧ new_child_inode = new_child_inode0 ∧ mkdentry(str0, entries1[str0]) = old_dent0 ∧ mkdentry(str, entries0[str]) = new_dent0 ∧ err0 = err1 ∧ cache_dirs = cache_dirs0 ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced))