| (m3 = entries[str] ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md.meta:= md1 ;(m3 = m14 ⊃ mkdir(m8, md0, m10, m11, entries2[str, entries0[str0]]);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md ) = mkdir(m18, md10, m19, m20, entries1), (entries[str] = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;(entries[str] = m14 ⊃ mkdir(m0, md5, # links(entries[str], cache_dirs), m1, entries0 -- str0) ;mkdir(m21, md11, # links(entries[str], cache_dirs), m23, ∅) ) ) = mkdir(m13, md8, m12 + 1, m15, entries4), (m3 = m14 ⊃ mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0);mkdir(m2, md4, # links(m3, cache_dirs), m5, entries)) = mkdir(m8, md3, m10, m11, entries2), (m14 = entries[str] ⊃ (entries[str] = m3 ⊃ mkdir(m13, md, m12, m15, entries4);mkdir(m13, md0, m12, m15, entries4)).meta:= md1 ;(m14 = m3 ⊃ mkdir(m8, md, m10, m11, entries2[str, entries0[str0]]);mkdir(m0, md0, # links(m14, cache_dirs), m1, entries0 -- str0)) ) = mkdir(m, md9, m16, m17, entries5), (entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) = mkdir(m4, md7, m7, m22, entries6), cache_dirs[m14] = mkdir(m0 + 1, md5, # links(m14, cache_dirs), m1 + 1, entries0), cache_dirs[m3] = mkdir(m2, md4, # links(m3, cache_dirs), m5, entries), cache_dirs[entries[str]] = mkdir(m21, md11, # links(entries[str], cache_dirs), m23, ∅), cache_dirs[entries0[str0]] = mkdir(m6, md6, # links(entries0[str0], cache_dirs), m9, entries3), err = ESUCCESS, 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), m14 ∈ cache_dirs, entries0[str0] ∈ cache_dirs, m3 ∈ cache_dirs, str0 ∈ entries0, entries[str] ∈ cache_dirs, str ∈ entries, m3 = m14 → md = md0, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m14, cache_dirs) ≠ ∅ ∨ m14 = ROOT_INO, links(m3, cache_dirs) ≠ ∅ ∨ m3 = ROOT_INO ⊦ [dcache_delete#(m14, str0; err, cache_dcache); dcache_set# (m3, mkdentry(mkdentry(str, entries[str]).name, mkdentry(str0, entries0[str0]).ino).name, mkdentry(mkdentry(str, entries[str]).name, mkdentry(str0, entries0[str0]).ino) ; err, cache_dcache)] ( icache-cons (cache_icache[m14, mkientry(false, mkinode(m14, md9, true, m16, m17, m))][m3, mkientry(false, mkinode(m3, md10, true, m19, m20, m18))] [entries[str], mkientry(false, mkinode(entries[str], md1, true, m7, m22, m4)) ], cache_dirs [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) .meta:= md1 ], cache_files) ∧ dcache-cons (cache_dcache, cache_dirs [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) .meta:= md1 ], cache_files) ∧ pcache-cons (cache_pcache, cache_dirs [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) .meta:= md1 ], cache_files) ∧ afs-cons (cache_dirs [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) .meta:= md1 ], cache_files) ∧ synced (cache_dirs [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) .meta:= md1 ], cache_icache[m14, mkientry(false, mkinode(m14, md9, true, m16, m17, m))][m3, mkientry(false, mkinode(m3, md10, true, m19, m20, m18))] [entries[str], mkientry(false, mkinode(entries[str], md1, true, m7, m22, m4)) ], cache_pcache) ∧ ( cache_sync → synced (cache_files, cache_icache[m14, mkientry(false, mkinode(m14, md9, true, m16, m17, m))][m3, mkientry(false, mkinode(m3, md10, true, m19, m20, m18))] [entries[str], mkientry(false, mkinode(entries[str], md1, true, m7, m22, m4)) ], cache_pcache)) → ⟨new_dent0 := mkdentry(str, entries[str]); old_dent0 := mkdentry(str0, entries0[str0]); new_parent_inode0 := mkinode(m3, md, true, # links(m3, cache_dirs), m5, m2); old_parent_inode0 := mkinode(m14, md0, true, # links(m14, cache_dirs), m1 + 1, m0 + 1); new_child_inode0 := mkinode(entries[str], md1, true, # links(entries[str], cache_dirs), m23, m21); old_child_inode0 := mkinode(entries0[str0], md2, true, # links(entries0[str0], cache_dirs), m9, m6); cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; cache_dirs2 := cache_dirs; cache_dirs3 := cache_dirs; cache_dirs4 := cache_dirs; cache_dirs5 := cache_dirs; afs_files := (cache_files ⊕ cache_pcache) ⊕ cache_icache; cache_dirs3 := cache_dirs; cache_dirs4 := 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)⟩ ( (m14 ∈ cache_dirs5 ⊃ mkinode (m14, (m14 = entries[str] ⊃ (entries[str] = m3 ⊃ mkdir(m13, md, m12, m15, entries4);mkdir(m13, md0, m12, m15, entries4)).meta:= md1 ;(m14 = m3 ⊃ mkdir(m8, md, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md0, # links(m14, cache_dirs5), m1, entries0 -- str0) ) ) .meta, true, (m14 = entries[str] ⊃ (entries[str] = m3 ⊃ mkdir(m13, md, m12, m15, entries4);mkdir(m13, md0, m12, m15, entries4)).meta:= md1 ;(m14 = m3 ⊃ mkdir(m8, md, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md0, # links(m14, cache_dirs5), m1, entries0 -- str0) ) ) .nlink, (m14 = entries[str] ⊃ (entries[str] = m3 ⊃ mkdir(m13, md, m12, m15, entries4);mkdir(m13, md0, m12, m15, entries4)).meta:= md1 ;(m14 = m3 ⊃ mkdir(m8, md, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md0, # links(m14, cache_dirs5), m1, entries0 -- str0) ) ) .nsubdirs, (m14 = entries[str] ⊃ (entries[str] = m3 ⊃ mkdir(m13, md, m12, m15, entries4);mkdir(m13, md0, m12, m15, entries4)).meta:= md1 ;(m14 = m3 ⊃ mkdir(m8, md, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md0, # links(m14, cache_dirs5), m1, entries0 -- str0) ) ) .size) ;mkinode(m14, cache_files[m14].meta, false, cache_files[m14].nlink, 0, cache_files[m14].size) ) = old_parent_inode0 ∧ (m3 ∈ cache_dirs5 ⊃ mkinode(m3, md10, true, m19, m20, m18) ;mkinode(m3, cache_files[m3].meta, false, cache_files[m3].nlink, 0, cache_files[m3].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 ∧ (entries[str] ∈ cache_dirs3 ⊃ mkinode(entries[str], md1, true, m7, m22, m4) ;mkinode(entries[str], cache_files[entries[str]].meta, false, cache_files[entries[str]].nlink, 0, cache_files[entries[str]].size) ) = new_child_inode0 ∧ negdentry(str0) = old_dent0 ∧ mkdentry(str, entries0[str0]) = new_dent0 ∧ err = err0 ∧ cache_dirs = cache_dirs5 [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs5), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) .meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ∧ entries[str] ∈ cache_dirs5 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ∧ entries[str] ∈ cache_dirs5 ⊃ mkdir(m13, md0, m12, m15, entries4) ;(entries[str] ∈ cache_dirs5 ⊃ mkdir(m13, md8, m12, m15, entries4);cache_dirs5[entries[str]]) ) ) .meta:= md1 ] ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache[m14, mkientry(false, mkinode(m14, md9, true, m16, m17, m))] [m3, mkientry(false, mkinode(m3, md10, true, m19, m20, m18)) ] [(entries[str] ∈ cache_dirs4 ⊃ mkinode(entries[str], md1, true, m7, m22, m4) ;mkinode(entries[str], cache_files[entries[str]].meta, false, cache_files[entries[str]].nlink, 0, cache_files[entries[str]].size) ) .ino, mkientry (false, (entries[str] ∈ cache_dirs4 ⊃ mkinode(entries[str], md1, true, m7, m22, m4) ;mkinode(entries[str], cache_files[entries[str]].meta, false, cache_files[entries[str]].nlink, 0, cache_files[entries[str]].size) )) ] ∧ (afs_asynced ↔ asynced0))), entries[str] = ROOT_INO, m14 = m3 ∧ mkdentry(str, entries[str]) = mkdentry(str0, entries0[str0]) |
(entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) = mkdir(m4, md7, m7, m22, entries6), (m14 = entries[str] ⊃ (entries[str] = m3 ⊃ mkdir(m13, md, m12, m15, entries4);mkdir(m13, md0, m12, m15, entries4)).meta:= md1 ;(m14 = m3 ⊃ mkdir(m8, md, m10, m11, entries2[str, entries0[str0]]);mkdir(m0, md0, # links(m14, cache_dirs), m1, entries0 -- str0)) ) = mkdir(m, md9, m16, m17, entries5), (m3 = m14 ⊃ mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0);mkdir(m2, md4, # links(m3, cache_dirs), m5, entries)) = mkdir(m8, md3, m10, m11, entries2), (entries[str] = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;(entries[str] = m14 ⊃ mkdir(m0, md5, # links(entries[str], cache_dirs), m1, entries0 -- str0) ;mkdir(m21, md11, # links(entries[str], cache_dirs), m23, ∅) ) ) = mkdir(m13, md8, m12 + 1, m15, entries4), (m3 = entries[str] ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md.meta:= md1 ;(m3 = m14 ⊃ mkdir(m8, md0, m10, m11, entries2[str, entries0[str0]]);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md ) = mkdir(m18, md10, m19, m20, entries1), cache_dirs[entries0[str0]] = mkdir(m6, md6, # links(entries0[str0], cache_dirs), m9, entries3), cache_dirs[entries[str]] = mkdir(m21, md11, # links(entries[str], cache_dirs), m23, ∅), cache_dirs[m3] = mkdir(m2, md4, # links(m3, cache_dirs), m5, entries), cache_dirs[m14] = mkdir(m0 + 1, md5, # links(m14, cache_dirs), m1 + 1, entries0), err = ESUCCESS, entries[str] ≠ 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), str ∈ entries, entries[str] ∈ cache_dirs, str0 ∈ entries0, m3 ∈ cache_dirs, entries0[str0] ∈ cache_dirs, m14 ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache), m3 = m14 → md = md0, links(m3, cache_dirs) ≠ ∅ ∨ m3 = ROOT_INO, links(m14, cache_dirs) ≠ ∅ ∨ m14 = ROOT_INO ⊦ [dcache_delete#(m14, str0; err, cache_dcache); dcache_set# (m3, mkdentry(mkdentry(str, entries[str]).name, mkdentry(str0, entries0[str0]).ino).name, mkdentry(mkdentry(str, entries[str]).name, mkdentry(str0, entries0[str0]).ino) ; err, cache_dcache)] ( icache-cons (cache_icache[m14, mkientry(false, mkinode(m14, md9, true, m16, m17, m))][m3, mkientry(false, mkinode(m3, md10, true, m19, m20, m18))] [entries[str], mkientry(false, mkinode(entries[str], md1, true, m7, m22, m4)) ], cache_dirs [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) .meta:= md1 ], cache_files) ∧ dcache-cons (cache_dcache, cache_dirs [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) .meta:= md1 ], cache_files) ∧ pcache-cons (cache_pcache, cache_dirs [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) .meta:= md1 ], cache_files) ∧ afs-cons (cache_dirs [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) .meta:= md1 ], cache_files) ∧ synced (cache_dirs [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])).meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)) ) .meta:= md1 ], cache_icache[m14, mkientry(false, mkinode(m14, md9, true, m16, m17, m))][m3, mkientry(false, mkinode(m3, md10, true, m19, m20, m18))] [entries[str], mkientry(false, mkinode(entries[str], md1, true, m7, m22, m4)) ], cache_pcache) ∧ ( cache_sync → synced (cache_files, cache_icache[m14, mkientry(false, mkinode(m14, md9, true, m16, m17, m))][m3, mkientry(false, mkinode(m3, md10, true, m19, m20, m18))] [entries[str], mkientry(false, mkinode(entries[str], md1, true, m7, m22, m4)) ], cache_pcache)) → ⟨new_dent0 := mkdentry(str, entries[str]); old_dent0 := mkdentry(str0, entries0[str0]); new_parent_inode0 := mkinode(m3, md, true, # links(m3, cache_dirs), m5, m2); old_parent_inode0 := mkinode(m14, md0, true, # links(m14, cache_dirs), m1 + 1, m0 + 1); new_child_inode0 := mkinode(entries[str], md1, true, # links(entries[str], cache_dirs), m23, m21); old_child_inode0 := mkinode(entries0[str0], md2, true, # links(entries0[str0], cache_dirs), m9, m6); cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; cache_dirs2 := cache_dirs; cache_dirs3 := cache_dirs; cache_dirs4 := cache_dirs; cache_dirs5 := cache_dirs; afs_files := (cache_files ⊕ cache_pcache) ⊕ cache_icache; cache_dirs3 := cache_dirs; cache_dirs4 := 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)⟩ ( (m14 ∈ cache_dirs5 ⊃ mkinode (m14, (m14 = entries[str] ⊃ (entries[str] = m3 ⊃ mkdir(m13, md, m12, m15, entries4);mkdir(m13, md0, m12, m15, entries4)).meta:= md1 ;(m14 = m3 ⊃ mkdir(m8, md, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md0, # links(m14, cache_dirs5), m1, entries0 -- str0) ) ) .meta, true, (m14 = entries[str] ⊃ (entries[str] = m3 ⊃ mkdir(m13, md, m12, m15, entries4);mkdir(m13, md0, m12, m15, entries4)).meta:= md1 ;(m14 = m3 ⊃ mkdir(m8, md, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md0, # links(m14, cache_dirs5), m1, entries0 -- str0) ) ) .nlink, (m14 = entries[str] ⊃ (entries[str] = m3 ⊃ mkdir(m13, md, m12, m15, entries4);mkdir(m13, md0, m12, m15, entries4)).meta:= md1 ;(m14 = m3 ⊃ mkdir(m8, md, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md0, # links(m14, cache_dirs5), m1, entries0 -- str0) ) ) .nsubdirs, (m14 = entries[str] ⊃ (entries[str] = m3 ⊃ mkdir(m13, md, m12, m15, entries4);mkdir(m13, md0, m12, m15, entries4)).meta:= md1 ;(m14 = m3 ⊃ mkdir(m8, md, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md0, # links(m14, cache_dirs5), m1, entries0 -- str0) ) ) .size) ;mkinode(m14, cache_files[m14].meta, false, cache_files[m14].nlink, 0, cache_files[m14].size) ) = old_parent_inode0 ∧ (m3 ∈ cache_dirs5 ⊃ mkinode(m3, md10, true, m19, m20, m18) ;mkinode(m3, cache_files[m3].meta, false, cache_files[m3].nlink, 0, cache_files[m3].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 ∧ (entries[str] ∈ cache_dirs3 ⊃ mkinode(entries[str], md1, true, m7, m22, m4) ;mkinode(entries[str], cache_files[entries[str]].meta, false, cache_files[entries[str]].nlink, 0, cache_files[entries[str]].size) ) = new_child_inode0 ∧ negdentry(str0) = old_dent0 ∧ mkdentry(str, entries0[str0]) = new_dent0 ∧ err = err0 ∧ cache_dirs = cache_dirs5 [m14, (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4) ;(m14 = m3 ⊃ mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]]) ;mkdir(m0, md5, # links(m14, cache_dirs5), m1, entries0 -- str0) ) ) .meta:= md0 ] [m3, (m3 = m14 ⊃ (m14 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) .meta:= md0 ;(m3 = entries[str] ⊃ mkdir(m13, md8, m12, m15, entries4);mkdir(m8, md3, m10, m11, entries2[str, entries0[str0]])) ) .meta:= md ] [entries[str], (entries[str] = m3 ∧ entries[str] ∈ cache_dirs5 ⊃ (entries[str] = m14 ⊃ mkdir(m13, md0, m12, m15, entries4);mkdir(m13, md8, m12, m15, entries4)).meta:= md ;(entries[str] = m14 ∧ entries[str] ∈ cache_dirs5 ⊃ mkdir(m13, md0, m12, m15, entries4) ;(entries[str] ∈ cache_dirs5 ⊃ mkdir(m13, md8, m12, m15, entries4);cache_dirs5[entries[str]]) ) ) .meta:= md1 ] ∧ afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache[m14, mkientry(false, mkinode(m14, md9, true, m16, m17, m))] [m3, mkientry(false, mkinode(m3, md10, true, m19, m20, m18)) ] [(entries[str] ∈ cache_dirs4 ⊃ mkinode(entries[str], md1, true, m7, m22, m4) ;mkinode(entries[str], cache_files[entries[str]].meta, false, cache_files[entries[str]].nlink, 0, cache_files[entries[str]].size) ) .ino, mkientry (false, (entries[str] ∈ cache_dirs4 ⊃ mkinode(entries[str], md1, true, m7, m22, m4) ;mkinode(entries[str], cache_files[entries[str]].meta, false, cache_files[entries[str]].nlink, 0, cache_files[entries[str]].size) )) ] ∧ (afs_asynced ↔ asynced0))), m14 = m3 ∧ mkdentry(str, entries[str]) = mkdentry(str0, entries0[str0])