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Proof step 98 from proof refine-lookup (previous step)

cache_dirs[p_ino] = mkdir(m, md, # links(p_ino, cache_dirs), m1, entries), dent = dent0, 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), dent0.name ∈ entries, p_ino ∈ cache_dirs, ⌊err0⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), links(p_ino, cache_dirs) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟨dent := mkdentry(dent.name, entries[dent.name]); err := ESUCCESS⟩ (dent0 = dent ∧ err0 = err), ⟨fail#(; ; err)⟩ (err0 = err), dentrykey(p_ino, dent0.name) ∈ cache_dcache

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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