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Proof step 89 from proof refine-evict (previous step)

# links(m, cache_dirs) = 0, cache_files[m] = mkfile(m0, md0, 0, content), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m1, md1, 0, content0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = ESUCCESS, icache = cache_icache, ino = m, 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_files, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟪icache := icache -- ino; boolvar := false; if ¬ boolvar then pcache_evict#(m; err, cache_pcache)⟫ ⟨cache_dirs0 := cache_dirs; afs_evict#(mkinode(m, md, boolvar, 0, 0, m2), cache_asynced; err0, cache_dirs, afs_files)⟩ (cache_dirs = cache_dirs0 ∧ afs_files = ((cache_files -- m) ⊕ cache_pcache) ⊕ icache ∧ err = err0), m = ROOT_INO, m ∈ cache_dirs

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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