Proof step 208 from proof refine-mkdir (previous step)

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

• Proof step 209:

  cache_dirs[m] = mkdir(m0, md1, # links(m, cache_dirs), m2, entries), afs_files = (cache_files0 ⊕ cache_pcache) ⊕ cache_icache, c_inode = getinode(mkdentry(str, ino0).ino, dirs, files), cache_files0 = cache_files, dirs = (cache_dirs[m, mkdir(m0 + 1, md1, # links(m, cache_dirs), m2 + 1, entries[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)], files = cache_files, ino = inode.ino, inode = mkinode(m, md0, true, # links(m, cache_dirs), m2, m0), p_inode = (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files[m].meta, false, files[m].nlink, 0, files[m].size) ), mkdentry(str, ino0).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), m ∈ cache_dirs, cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟪dent := mkdentry(str, ino0); err := ESUCCESS; if err = ESUCCESS then let asynced = false in {icache_set#(p_inode, asynced; err, cache_icache); icache_set#(c_inode, asynced; err, cache_icache); dcache_set#(p_inode.ino, dent.name, dent; err, cache_dcache)}⟫ ⟨dent0 := negdentry(str); p_inode0 := mkinode(m, md0, true, # links(m, cache_dirs), m2, m0); afs_mkdir#(md; p_inode0, p_inode1, dent0, err0, cache_dirs, afs_files; afs_asynced)⟩ ( cache_dirs = dirs ∧ afs_files = (files ⊕ cache_pcache) ⊕ cache_icache ∧ (afs_asynced ↔ asynced) ∧ p_inode = p_inode0 ∧ c_inode = p_inode1 ∧ dent = dent0 ∧ err = err0), ino0 = 0, ino ∈ dirs, ino0 ∈ cache_dirs, ino0 ∈ cache_files, str ∈ entries, ino ∈ files

Rule argument

Additional information