| cache_dirs[m3] = mkdir(m2, md5, # links(m3, cache_dirs), m6, entries0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries0[str]] = mkfile(m9, md2, # links(entries0[str], cache_dirs), content), cache_dirs[m] = mkdir(m0, md4, # links(m, cache_dirs), m4, entries), cache_files[entries0[str]] = mkfile(m1, md3, # links(entries0[str], cache_dirs), content0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = err0, new_dent = negdentry(str0), new_parent_inode = mkinode(m, md, true, # links(m, cache_dirs), m4, m0), old_dent = mkdentry(str, entries0[str]), old_dent0 = mkdentry(str, entries0[str]), old_parent_inode = mkinode(m3, md0, true, # links(m3, cache_dirs), m6, m2), 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), m3 ∈ cache_dirs, entries0[str] ∈ cache_files, m ∈ cache_dirs, str ∈ entries0, ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), m = m3 → md = md0, links(m3, cache_dirs) ≠ ∅ ∨ m3 = ROOT_INO, links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨new_dent0 := negdentry(str0); new_parent_inode0 := mkinode(m, md, true, # links(m, cache_dirs), m4, m0); old_parent_inode0 := mkinode(m3, md0, true, # links(m3, cache_dirs), m6, m2); old_child_inode0 := mkinode(entries0[str], md1, false, # links(entries0[str], cache_dirs), 0, m10); new_child_inode1 := new_child_inode0; cache_dirs0 := cache_dirs; 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(entries0[str], md1, false, # links(entries0[str], cache_dirs0), 0, m10) = old_child_inode0 ∧ new_child_inode1 = 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)), str0 ∈ entries |
cache_files[entries0[str]] = mkfile(m1, md3, # links(entries0[str], cache_dirs), content0), cache_dirs[m] = mkdir(m0, md4, # links(m, cache_dirs), m4, entries), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries0[str]] = mkfile(m9, md2, # links(entries0[str], cache_dirs), content), cache_dirs[m3] = mkdir(m2, md5, # links(m3, cache_dirs), m6, entries0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = err0, new_dent = negdentry(str0), new_dent0 = negdentry(str0), new_parent_inode = mkinode(m, md, true, # links(m, cache_dirs), m4, m0), old_dent = mkdentry(str, entries0[str]), old_dent0 = mkdentry(str, entries0[str]), old_parent_inode = mkinode(m3, md0, true, # links(m3, cache_dirs), m6, m2), 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, m ∈ cache_dirs, entries0[str] ∈ cache_files, m3 ∈ cache_dirs, ⌊err0⌋ , m = m3 → md = md0, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO, links(m3, cache_dirs) ≠ ∅ ∨ m3 = ROOT_INO ⊦ ⟨new_parent_inode0 := mkinode(m, md, true, # links(m, cache_dirs), m4, m0); old_parent_inode0 := mkinode(m3, md0, true, # links(m3, cache_dirs), m6, m2); old_child_inode0 := mkinode(entries0[str], md1, false, # links(entries0[str], cache_dirs), 0, m10); new_child_inode1 := new_child_inode0; cache_dirs0 := cache_dirs; 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(entries0[str], md1, false, # links(entries0[str], cache_dirs0), 0, m10) = old_child_inode0 ∧ new_child_inode1 = 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)), str0 ∈ entries