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Proof step 107 from proof refine-evict (previous step)

# links(m, cache_dirs) = 0, files[ino].nlink = 0, asynced ↔ cache_asynced, ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m1, md1, 0, content0), cache_files[m] = mkfile(m0, md0, 0, content), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, cache_dirs0 = cache_dirs, dirs = cache_dirs, err = err0, files = afs_files, ino = inode.ino, inode = mkinode(m, md, false, 0, 0, m2), 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), pre-evict(inode, dirs, files), synced(cache_dirs, cache_icache, cache_pcache), m ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache), ∀ key. key ∈ cache_pcache → key.data? ⊦ ⟨files := files -- ino⟩ (dirs = cache_dirs0 ∧ files = ((cache_files -- m) ⊕ evict(m, cache_pcache)) ⊕ (cache_icache -- m) ∧ ESUCCESS = ESUCCESS), m = ROOT_INO, ino ∈ dirs, m ∈ cache_dirs

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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