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Proof step 280 from proof refine-unlink (previous step)

cache_files[entries0[str]] = mkfile(m1, md3, # links(entries0[str], cache_dirs), content), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[entries0[str]] = mkfile(m7, md2, # links(entries0[str], cache_dirs), content0), cache_dirs[m] = mkdir(m0 + 1, md1, # links(m, cache_dirs), m4, entries0), 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), synced(cache_dirs, cache_icache, cache_pcache), str ∈ entries0, entries0[str] ∈ cache_files, m ∈ cache_dirs, 1 ≤ # links(entries0[str], cache_dirs), ⌊err1⌋ , cache_sync → synced(cache_files, cache_icache, cache_pcache), links(m, cache_dirs) ≠ ∅ ∨ m = ROOT_INO ⊦ ⟨asynced := ?⟩ ((asynced ↔ asynced0) ∧ err1 = err1), ∃ err0. ⌊err0⌋ ∧ ⟨err := err0; asynced := ?⟩ ((asynced ↔ asynced0) ∧ err1 = err), # links(entries0[str], cache_dirs) = 0

Heuristic symbolic execution applied rule assign right

And closed the goal!

Rule argument

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