| ⟨new_dent1 := mkdentry(str0, entries2[str0]); old_dent2 := mkdentry(str, entries1[str]); new_child_inode1 := mkinode(entries2[str0], md1, true, # links(entries2[str0], cache_dirs), m9, m1); new_parent_inode1 := mkinode(m3, md0, true, # links(m3, cache_dirs), m11, m8); old_child_inode1 := mkinode(entries1[str], md2, true, # links(entries1[str], cache_dirs), m14, m10); old_parent_inode1 := mkinode(m, md, true, # links(m, cache_dirs), m12, m0); afs_rename# (; old_parent_inode1, new_parent_inode1, old_child_inode1, new_child_inode1, old_dent2, new_dent1, err0, cache_dirs, afs_files; afs_asynced)⟩ ( old_parent_inode0 = old_parent_inode1 ∧ new_parent_inode0 = new_parent_inode1 ∧ old_child_inode0 = old_child_inode1 ∧ new_child_inode0 = new_child_inode1 ∧ old_dent3 = old_dent2 ∧ new_dent0 = new_dent1 ∧ err1 = err0 ∧ cache_dirs = cache_dirs0 ∧ afs_files = (cache_files0 ⊕ cache_pcache) ⊕ cache_icache0 ∧ (afs_asynced ↔ cache_asynced)), cache_dirs[entries1[str]] = mkdir(m10, md5, # links(entries1[str], cache_dirs), m14, entries), cache_dirs[m3] = mkdir(m8, md8, # links(m3, cache_dirs), m11, entries2), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries1[str]] = mkfile(m15, md3, m16, content), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries2[str0]] = mkfile(m17, md4, m18, content0), cache_dirs[m] = mkdir(m0, md7, # links(m, cache_dirs), m12, entries1), cache_dirs[entries2[str0]] = mkdir(m1, md9, # links(entries2[str0], cache_dirs), m9, ∅), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, entries2[str0] ≠ ROOT_INO, 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 ∈ entries2, m3 ∈ cache_dirs, str ∈ entries1, m ∈ cache_dirs, entries1[str] ∈ cache_dirs, entries2[str0] ∈ cache_dirs, m3 = m → md0 = md, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m3, cache_dirs) ≠ ∅ ∨ m3 = ROOT_INO, links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨old_dent0 := mkdentry(str, entries1[str]); p_inode := mkinode(m, md, true, # links(m, cache_dirs), m12, m0); p_inode0 := mkinode(m3, md0, true, # links(m3, cache_dirs), m11, m8); p_inode2 := mkinode(entries2[str0], md1, true, # links(entries2[str0], cache_dirs), m9, m1); p_inode1 := mkinode(entries1[str], md2, true, # links(entries1[str], cache_dirs), m14, m10); old_dent1 := mkdentry(str0, entries2[str0]); afs_rename#(; p_inode, p_inode0, p_inode1, p_inode2, old_dent0, old_dent1, err0, cache_dirs, afs_files; afs_asynced)⟩ ( cache_dirs = cache_dirs0 ∧ afs_files = (cache_files0 ⊕ cache_pcache) ⊕ cache_icache0 ∧ (afs_asynced ↔ cache_asynced) ∧ old_parent_inode0 = p_inode ∧ new_parent_inode0 = p_inode0 ∧ old_child_inode0 = p_inode1 ∧ new_child_inode0 = p_inode2 ∧ old_dent3 = old_dent0 ∧ new_dent0 = old_dent1 ∧ err1 = err0) |
⟨new_dent1 := mkdentry(str0, entries2[str0]); old_dent2 := mkdentry(str, entries1[str]); new_child_inode1 := mkinode(entries2[str0], md1, true, # links(entries2[str0], cache_dirs), m9, m1); new_parent_inode1 := mkinode(m3, md0, true, # links(m3, cache_dirs), m11, m8); old_child_inode1 := mkinode(entries1[str], md2, true, # links(entries1[str], cache_dirs), m14, m10); old_parent_inode1 := mkinode(m, md, true, # links(m, cache_dirs), m12, m0); afs_rename# (; old_parent_inode1, new_parent_inode1, old_child_inode1, new_child_inode1, old_dent2, new_dent1, err0, cache_dirs, afs_files; afs_asynced)⟩ ( old_parent_inode0 = old_parent_inode1 ∧ new_parent_inode0 = new_parent_inode1 ∧ old_child_inode0 = old_child_inode1 ∧ new_child_inode0 = new_child_inode1 ∧ old_dent3 = old_dent2 ∧ new_dent0 = new_dent1 ∧ err1 = err0 ∧ cache_dirs = cache_dirs0 ∧ afs_files = (cache_files0 ⊕ cache_pcache) ⊕ cache_icache0 ∧ (afs_asynced ↔ cache_asynced)), cache_dirs[entries2[str0]] = mkdir(m1, md9, # links(entries2[str0], cache_dirs), m9, ∅), cache_dirs[m] = mkdir(m0, md7, # links(m, cache_dirs), m12, entries1), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries2[str0]] = mkfile(m17, md4, m18, content0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries1[str]] = mkfile(m15, md3, m16, content), cache_dirs[m3] = mkdir(m8, md8, # links(m3, cache_dirs), m11, entries2), cache_dirs[entries1[str]] = mkdir(m10, md5, # links(entries1[str], cache_dirs), m14, entries), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, old_dent0 = mkdentry(str, entries1[str]), 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), entries2[str0] ∈ cache_dirs, entries1[str] ∈ cache_dirs, m ∈ cache_dirs, m3 ∈ cache_dirs, str0 ∈ entries2, str ∈ entries1, cache_sync → synced(cache_files, cache_icache, cache_pcache), m3 = m → md0 = md, links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO, links(m3, cache_dirs) ≠ ∅ ∨ m3 = ROOT_INO ⊦ ⟨p_inode := mkinode(m, md, true, # links(m, cache_dirs), m12, m0); p_inode0 := mkinode(m3, md0, true, # links(m3, cache_dirs), m11, m8); p_inode2 := mkinode(entries2[str0], md1, true, # links(entries2[str0], cache_dirs), m9, m1); p_inode1 := mkinode(entries1[str], md2, true, # links(entries1[str], cache_dirs), m14, m10); old_dent1 := mkdentry(str0, entries2[str0]); afs_rename#(; p_inode, p_inode0, p_inode1, p_inode2, old_dent0, old_dent1, err0, cache_dirs, afs_files; afs_asynced)⟩ ( cache_dirs = cache_dirs0 ∧ afs_files = (cache_files0 ⊕ cache_pcache) ⊕ cache_icache0 ∧ (afs_asynced ↔ cache_asynced) ∧ old_parent_inode0 = p_inode ∧ new_parent_inode0 = p_inode0 ∧ old_child_inode0 = p_inode1 ∧ new_child_inode0 = p_inode2 ∧ old_dent3 = old_dent0 ∧ new_dent0 = old_dent1 ∧ err1 = err0), entries2[str0] = ROOT_INO