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Proof step 719 from proof refine-rename-file-dentry (previous step)

((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries[str0]] = mkfile(m8, md4, # links(entries[str0], cache_dirs), content0), cache_files[entries[str0]] = mkfile(m1, md, # links(entries[str0], cache_dirs), content), cache_dirs[m] = mkdir(m0, md3, # links(m, cache_dirs), m3, entries), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, dirs = cache_dirs[m, mkdir(m0, md0, # links(m, cache_dirs), m3, entries)], err = ESUCCESS, files = cache_files, ino = inode.ino, inode = mkinode(entries[str0], md1, false, # links(entries[str0], cache_dirs), 0, m10), new_child_inode = (entries[str0] ∈ dirs[ino, dirs[ino].meta:= inode.meta] ⊃ mkinode (entries[str0], dirs[ino, dirs[ino].meta:= inode.meta][entries[str0]].meta, true, dirs[ino, dirs[ino].meta:= inode.meta][entries[str0]].nlink, dirs[ino, dirs[ino].meta:= inode.meta][entries[str0]].nsubdirs, dirs[ino, dirs[ino].meta:= inode.meta][entries[str0]].size) ;mkinode(entries[str0], files[entries[str0]].meta, false, files[entries[str0]].nlink, 0, files[entries[str0]].size) ), new_dent = mkdentry(mkdentry(str0, entries[str0]).name, mkdentry(str0, entries[str0]).ino), 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_dent1 = negdentry(mkdentry(str0, entries[str0]).name), old_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) ), mkdentry(str0, entries[str0]).dentry?, 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, entries[str0] ∈ cache_files, m ∈ cache_dirs, str0 ∈ entries, cache_sync → synced(cache_files, cache_icache, cache_pcache), (entries[str0] ∈ dirs[ino, dirs[ino].meta:= inode.meta] ⊃ str0 ∈ entries ∧ str0 ∈ entries ∧ str0 ∈ entries ∧ str0 ∈ entries ∧ str0 ∈ entries ;str0 ∈ entries ∧ str0 ∈ entries ∧ str0 ∈ entries ∧ str0 ∈ entries ), links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ [str := str0; entries0 := entries; 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, md0, true, # links(m, cache_dirs), m3, m0); old_parent_inode0 := mkinode(m, md0, true, # links(m, cache_dirs), m3, m0); 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))), ino ∈ files, entries[str0] ∈ cache_dirs

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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