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Proof step 409 from proof refine-rename-file-dentry (previous step)

# links(entries1[str], cache_dirs) = m14 + 1, (m = m3 ⊃ mkdir(m1, md6, # links(m3, cache_dirs), m6, entries -- str0);mkdir(m0, md9, # links(m, cache_dirs), m7, entries1)) = mkdir(m5, md8, m9, m11, entries2), cache_files[entries[str0]] = mkfile(m4, md5, # links(entries[str0], cache_dirs), content2), cache_dirs[m] = mkdir(m0, md9, # links(m, cache_dirs), m7, entries1), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries[str0]] = mkfile(m8, md4, # links(entries[str0], cache_dirs), content0), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries1[str]] = mkfile(m12, md3, m14 + 1, content), cache_dirs[m3] = mkdir(m1 + 1, md6, # links(m3, cache_dirs), m6, entries), cache_files[entries1[str]] = mkfile(m2, md7, m14 + 1, content1), cache_files0 = cache_files[entries1[str], mkfile(m2, md7, m14, content1)], dirs = cache_dirs [m3, (m3 = m ⊃ mkdir(m5, md8, m9, m11, entries2[str, entries[str0]]);mkdir(m1, md6, # links(m3, cache_dirs), m6, entries -- str0)).meta:= md0 ] [m, (m = m3 ⊃ mkdir(m5, md0, m9, m11, entries2[str, entries[str0]]);mkdir(m5, md8, m9, m11, entries2[str, entries[str0]])).meta:= md ], files = cache_files0, ino = inode.ino, inode = mkinode(entries1[str], md1, false, # links(entries1[str], cache_dirs), 0, m10), 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), m ∈ cache_dirs, str0 ∈ entries, entries1[str] ∈ cache_files, entries[str0] ∈ cache_files, m3 ∈ cache_dirs, str ∈ entries1, ino ∈ dirs, 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 ⊦ [new_child_inode := (entries1[str] ∈ dirs[ino, dirs[ino].meta:= inode.meta] ⊃ mkinode (entries1[str], dirs[ino, dirs[ino].meta:= inode.meta][entries1[str]].meta, true, dirs[ino, dirs[ino].meta:= inode.meta][entries1[str]].nlink, dirs[ino, dirs[ino].meta:= inode.meta][entries1[str]].nsubdirs, dirs[ino, dirs[ino].meta:= inode.meta][entries1[str]].size) ;mkinode(entries1[str], files[entries1[str]].meta, false, files[entries1[str]].nlink, 0, files[entries1[str]].size) ); old_parent_inode := (m3 ∈ dirs[ino, dirs[ino].meta:= inode.meta] ⊃ mkinode (m3, dirs[ino, dirs[ino].meta:= inode.meta][m3].meta, true, dirs[ino, dirs[ino].meta:= inode.meta][m3].nlink, dirs[ino, dirs[ino].meta:= inode.meta][m3].nsubdirs, dirs[ino, dirs[ino].meta:= inode.meta][m3].size) ;mkinode(m3, files[m3].meta, false, files[m3].nlink, 0, files[m3].size) ); new_parent_inode := (m ∈ dirs[ino, dirs[ino].meta:= inode.meta] ⊃ mkinode (m, dirs[ino, dirs[ino].meta:= inode.meta][m].meta, true, dirs[ino, dirs[ino].meta:= inode.meta][m].nlink, dirs[ino, dirs[ino].meta:= inode.meta][m].nsubdirs, dirs[ino, dirs[ino].meta:= inode.meta][m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ); err := ESUCCESS; asynced := ?; entries0 := entries1; new_dent := mkdentry(mkdentry(str, entries1[str]).name, mkdentry(str0, entries[str0]).ino); old_dent1 := negdentry(mkdentry(str0, entries[str0]).name); afs_files := (cache_files ⊕ cache_pcache) ⊕ cache_icache; if err = ESUCCESS then let asynced = false in {icache_set#(old_parent_inode, asynced; err, cache_icache); icache_set#(new_parent_inode, asynced; err, cache_icache); if mkdentry(str, entries0[str]).dentry? then icache_set#(new_child_inode, asynced; err, cache_icache); dcache_delete#(old_parent_inode.ino, old_dent1.name; err, cache_dcache); dcache_set#(new_parent_inode.ino, new_dent.name, new_dent; err, cache_dcache)}] ( icache-cons(cache_icache, dirs[ino, dirs[ino].meta:= inode.meta], files) ∧ dcache-cons(cache_dcache, dirs[ino, dirs[ino].meta:= inode.meta], files) ∧ pcache-cons(cache_pcache, dirs[ino, dirs[ino].meta:= inode.meta], files) ∧ afs-cons(dirs[ino, dirs[ino].meta:= inode.meta], files) ∧ synced(dirs[ino, dirs[ino].meta:= inode.meta], cache_icache, cache_pcache) ∧ (cache_sync → synced(files, cache_icache, cache_pcache)) → ⟨new_dent0 := mkdentry(str, entries0[str]); old_dent0 := mkdentry(str0, entries[str0]); new_parent_inode0 := mkinode(m, md, true, # links(m, cache_dirs), m7, m0); old_parent_inode0 := mkinode(m3, md0, true, # links(m3, cache_dirs), m6, m1 + 1); new_child_inode0 := mkinode(entries0[str], md1, false, # links(entries0[str], cache_dirs), 0, m10); old_child_inode0 := mkinode(entries[str0], md2, false, # links(entries[str0], cache_dirs), 0, m13); cache_dirs0 := 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)⟩ ( old_parent_inode = old_parent_inode0 ∧ new_parent_inode = new_parent_inode0 ∧ mkinode(entries[str0], md2, false, # links(entries[str0], cache_dirs0), 0, m13) = old_child_inode0 ∧ new_child_inode = new_child_inode0 ∧ old_dent1 = old_dent0 ∧ new_dent = new_dent0 ∧ err = err0 ∧ cache_dirs = dirs[ino, dirs[ino].meta:= inode.meta] ∧ afs_files = (files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced))), entries[str0] ∈ cache_dirs, entries1[str] ∈ cache_dirs, ino ∈ files, m3 = m ∧ mkdentry(str, entries1[str]) = mkdentry(str0, entries[str0])

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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