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Proof step 104 from proof refine-rename-dir-negdentry (previous step)

(m = m3 ⊃ mkdir(m0, md3, # links(m3, cache_dirs), m1, entries0 -- str);mkdir(m6, md6, # links(m, cache_dirs), m8, entries3)) = mkdir(m2, md2, m4, m5, entries), cache_dirs[entries0[str]] = mkdir(m7, md4, # links(entries0[str], cache_dirs), m10, entries1), cache_dirs[m] = mkdir(m6, md6, # links(m, cache_dirs), m8, entries3), cache_dirs[m3] = mkdir(m0 + 1, md3, # links(m3, cache_dirs), m1 + 1, entries0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, dirs = cache_dirs[m, mkdir(m2 + 1, md2, m4, m5 + 1, entries[str0, entries0[str]])] [m3, (m3 = m ⊃ mkdir(m2 + 1, md2, m4, m5 + 1, entries[str0, entries0[str]]);mkdir(m0, md3, # links(m3, cache_dirs), m1, entries0 -- str)).meta:= md0 ], err = ESUCCESS, files = cache_files, ino = inode.ino, inode = mkinode(m, md, true, # links(m, cache_dirs), m8, m6), 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) ), 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) ), 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), ino ∈ dirs, entries0[str] ∈ cache_dirs, str ∈ entries0, m ∈ cache_dirs, m3 ∈ cache_dirs, 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 ⊦ [asynced := ?; new_dent := mkdentry(str0, mkdentry(str, entries0[str]).ino); old_dent1 := negdentry(mkdentry(str, entries0[str]).name); 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); skip; 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)) → ⟨old_dent0 := mkdentry(str, entries0[str]); new_dent0 := negdentry(str0); new_parent_inode0 := mkinode(m, md, true, # links(m, cache_dirs), m8, m6); old_parent_inode0 := mkinode(m3, md0, true, # links(m3, cache_dirs), m1 + 1, m0 + 1); old_child_inode0 := mkinode(entries0[str], md1, true, # links(entries0[str], cache_dirs), m10, m7); cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; cache_dirs2 := cache_dirs; new_child_inode1 := new_child_inode0; 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 (entries0[str], md1, true, # links(entries0[str], cache_dirs0), cache_dirs1[entries0[str]].nsubdirs, cache_dirs2[entries0[str]].size) = old_child_inode0 ∧ new_child_inode1 = 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))), ino ∈ files, str0 ∈ entries3

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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