| (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0) ;mkdir(m10, md6, # links(entries0[str0], cache_dirs), m12, ∅) ) .meta:= md = mkdir(m7, md5, m8, m9, entries1), (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0) ) = mkdir(m, md1, m2, m5, entries), cache_dirs[entries0[str0]] = mkdir(m10, md6, # links(entries0[str0], cache_dirs), m12, ∅), cache_dirs[m0] = mkdir(m1, md3, # links(m0, cache_dirs), m4, entries0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_dirs0 = cache_dirs, cache_dirs1 = cache_dirs, cache_dirs2 = cache_dirs, cache_dirs5 = cache_dirs, dcache = cache_dcache -- dentrykey(m0, str0), dent = mkdentry(str0, mkdentry(str0, entries0[str0]).ino), err = ESUCCESS, key = dentrykey(p_ino, name), name = mkdentry(str0, mkdentry(str0, entries0[str0]).ino).name, new_child_inode0 = mkinode(entries0[str0], md, true, # links(entries0[str0], cache_dirs), m12, m10), new_dent0 = mkdentry(str0, entries0[str0]), new_parent_inode0 = mkinode(m0, md0, true, # links(m0, cache_dirs), m4, m1), old_child_inode0 = mkinode(entries0[str0], md2, true, # links(entries0[str0], cache_dirs), m12, m10), old_dent0 = mkdentry(str0, entries0[str0]), old_parent_inode0 = mkinode(m0, md0, true, # links(m0, cache_dirs), m4, m1), p_ino = m0, mkdentry(str0, entries0[str0]).dentry?, afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), afs-cons (cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md ], cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), dcache-cons (dcache[key, dent], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md ], cache_files), icache-cons(cache_icache, cache_dirs, cache_files), icache-cons (cache_icache[m0, mkientry(false, mkinode(m0, md1, true, m2, m5, m))][entries0[str0], mkientry(false, mkinode(entries0[str0], md5, true, m8, m9, m7))], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md ], cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), pcache-cons (cache_pcache, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md ], cache_files), synced(cache_dirs, cache_icache, cache_pcache), synced (cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md ], cache_icache[m0, mkientry(false, mkinode(m0, md1, true, m2, m5, m))][entries0[str0], mkientry(false, mkinode(entries0[str0], md5, true, m8, m9, m7))], cache_pcache), str0 ∈ entries0, entries0[str0] ∈ cache_dirs, m0 ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache), cache_sync → synced (cache_files, cache_icache[m0, mkientry(false, mkinode(m0, md1, true, m2, m5, m))] [entries0[str0], mkientry(false, mkinode(entries0[str0], md5, true, m8, m9, m7)) ], cache_pcache), links(m0, cache_dirs) ≠ ∅ ∨ m0 = ROOT_INO ⊦ ⟨cache_dirs3 := cache_dirs; afs_rename# (; old_parent_inode0, new_parent_inode0, old_child_inode0, new_child_inode0, old_dent0, new_dent0, err0, cache_dirs, afs_files; afs_asynced)⟩ ( (m0 ∈ cache_dirs5 ⊃ mkinode (m0, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .meta, true, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nlink, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nsubdirs, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .size) ;mkinode(m0, cache_files[m0].meta, false, cache_files[m0].nlink, 0, cache_files[m0].size) ) = old_parent_inode0 ∧ (m0 ∈ cache_dirs5 ⊃ mkinode (m0, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .meta, true, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nlink, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nsubdirs, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .size) ;mkinode(m0, cache_files[m0].meta, false, cache_files[m0].nlink, 0, cache_files[m0].size) ) = new_parent_inode0 ∧ mkinode (entries0[str0], md2, true, # links(entries0[str0], cache_dirs0), cache_dirs1[entries0[str0]].nsubdirs, cache_dirs2[entries0[str0]].size) = old_child_inode0 ∧ (entries0[str0] ∈ cache_dirs3 ⊃ mkinode (entries0[str0], md, true, (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs3), m4, entries0);cache_dirs3[entries0[str0]]).nlink, (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs3), m4, entries0);cache_dirs3[entries0[str0]]).nsubdirs, (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs3), m4, entries0);cache_dirs3[entries0[str0]]).size) ;mkinode(entries0[str0], cache_files[entries0[str0]].meta, false, cache_files[entries0[str0]].nlink, 0, cache_files[entries0[str0]].size) ) = new_child_inode0 ∧ negdentry(str0) = old_dent0 ∧ mkdentry(str0, entries0[str0]) = new_dent0 ∧ err = err0 ∧ cache_dirs = cache_dirs5[m0, mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ∧ entries0[str0] ∈ cache_dirs5 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs5), m4, entries0) ;cache_dirs5[entries0[str0]] ) .meta:= md ] ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache[m0, mkientry(false, mkinode(m0, md1, true, m2, m5, m))] [entries0[str0], mkientry(false, mkinode(entries0[str0], md5, true, m8, m9, m7)) ] ∧ (afs_asynced ↔ asynced0)), entries0[str0] = ROOT_INO |
(entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0) ;mkdir(m10, md6, # links(entries0[str0], cache_dirs), m12, ∅) ) .meta:= md = mkdir(m7, md5, m8, m9, entries1), (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0) ) = mkdir(m, md1, m2, m5, entries), cache_dirs[m0] = mkdir(m1, md3, # links(m0, cache_dirs), m4, entries0), cache_dirs[entries0[str0]] = mkdir(m10, md6, # links(entries0[str0], cache_dirs), m12, ∅), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_dirs0 = cache_dirs, cache_dirs1 = cache_dirs, cache_dirs2 = cache_dirs, cache_dirs3 = cache_dirs, cache_dirs5 = cache_dirs, dcache = cache_dcache -- dentrykey(m0, str0), dent = mkdentry(str0, mkdentry(str0, entries0[str0]).ino), err = ESUCCESS, key = dentrykey(p_ino, name), name = mkdentry(str0, mkdentry(str0, entries0[str0]).ino).name, new_child_inode0 = mkinode(entries0[str0], md, true, # links(entries0[str0], cache_dirs), m12, m10), new_dent0 = mkdentry(str0, entries0[str0]), new_parent_inode0 = mkinode(m0, md0, true, # links(m0, cache_dirs), m4, m1), old_child_inode0 = mkinode(entries0[str0], md2, true, # links(entries0[str0], cache_dirs), m12, m10), old_dent0 = mkdentry(str0, entries0[str0]), old_parent_inode0 = mkinode(m0, md0, true, # links(m0, cache_dirs), m4, m1), p_ino = m0, mkdentry(str0, entries0[str0]).dentry?, afs-cons (cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md ], cache_files), afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), dcache-cons (dcache[key, dent], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md ], cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons (cache_icache[m0, mkientry(false, mkinode(m0, md1, true, m2, m5, m))][entries0[str0], mkientry(false, mkinode(entries0[str0], md5, true, m8, m9, m7))], cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md ], cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons (cache_pcache, cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md ], cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced (cache_dirs[m0, mkdir(m1, md0, # links(m0, cache_dirs), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs), m4, entries0);cache_dirs[entries0[str0]]).meta:= md ], cache_icache[m0, mkientry(false, mkinode(m0, md1, true, m2, m5, m))][entries0[str0], mkientry(false, mkinode(entries0[str0], md5, true, m8, m9, m7))], cache_pcache), synced(cache_dirs, cache_icache, cache_pcache), m0 ∈ cache_dirs, entries0[str0] ∈ cache_dirs, str0 ∈ entries0, cache_sync → synced (cache_files, cache_icache[m0, mkientry(false, mkinode(m0, md1, true, m2, m5, m))] [entries0[str0], mkientry(false, mkinode(entries0[str0], md5, true, m8, m9, m7)) ], cache_pcache), cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m0, cache_dirs) ≠ ∅ ∨ m0 = ROOT_INO ⊦ ⟨afs_rename# (; old_parent_inode0, new_parent_inode0, old_child_inode0, new_child_inode0, old_dent0, new_dent0, err0, cache_dirs, afs_files; afs_asynced)⟩ ( (m0 ∈ cache_dirs5 ⊃ mkinode (m0, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .meta, true, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nlink, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nsubdirs, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .size) ;mkinode(m0, cache_files[m0].meta, false, cache_files[m0].nlink, 0, cache_files[m0].size) ) = old_parent_inode0 ∧ (m0 ∈ cache_dirs5 ⊃ mkinode (m0, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .meta, true, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nlink, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .nsubdirs, (m0 = entries0[str0] ⊃ mkdir(m1, md, # links(entries0[str0], cache_dirs5), m4, entries0) ;mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0) ) .size) ;mkinode(m0, cache_files[m0].meta, false, cache_files[m0].nlink, 0, cache_files[m0].size) ) = new_parent_inode0 ∧ mkinode (entries0[str0], md2, true, # links(entries0[str0], cache_dirs0), cache_dirs1[entries0[str0]].nsubdirs, cache_dirs2[entries0[str0]].size) = old_child_inode0 ∧ (entries0[str0] ∈ cache_dirs3 ⊃ mkinode (entries0[str0], md, true, (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs3), m4, entries0);cache_dirs3[entries0[str0]]).nlink, (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs3), m4, entries0);cache_dirs3[entries0[str0]]).nsubdirs, (entries0[str0] = m0 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs3), m4, entries0);cache_dirs3[entries0[str0]]).size) ;mkinode(entries0[str0], cache_files[entries0[str0]].meta, false, cache_files[entries0[str0]].nlink, 0, cache_files[entries0[str0]].size) ) = new_child_inode0 ∧ negdentry(str0) = old_dent0 ∧ mkdentry(str0, entries0[str0]) = new_dent0 ∧ err = err0 ∧ cache_dirs = cache_dirs5[m0, mkdir(m1, md0, # links(m0, cache_dirs5), m4, entries0)] [entries0[str0], (entries0[str0] = m0 ∧ entries0[str0] ∈ cache_dirs5 ⊃ mkdir(m1, md0, # links(entries0[str0], cache_dirs5), m4, entries0) ;cache_dirs5[entries0[str0]] ) .meta:= md ] ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache[m0, mkientry(false, mkinode(m0, md1, true, m2, m5, m))] [entries0[str0], mkientry(false, mkinode(entries0[str0], md5, true, m8, m9, m7)) ] ∧ (afs_asynced ↔ asynced0)), entries0[str0] = ROOT_INO