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Proof step 128 from proof refine-evict (previous step)

# links(m, cache_dirs) = 0, cache_files[ino] = mkfile(m6, md2, # links(ino, cache_dirs), content1), cache_files[m] = mkfile(m0, md0, 0, content), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m] = mkfile(m1, md1, 0, content0), (∅)[ino] = mkientry(boolvar0, mkinode(m2, md, boolvar, m3, m4, m5)), 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, ino ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache), ∀ key. key ∈ cache_pcache → key.data? ⊦ ino = m, m = ROOT_INO, m ∈ cache_dirs, ino ∈ cache_icache, m6 = m6 ∧ md2 = md2 ∧ # links(ino, cache_dirs) = # links(ino, cache_dirs) ∧ content1 ⊕ mkcontent(ino, cache_pcache) = content1 ⊕ mkcontent(ino, evict(m, cache_pcache))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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