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Proof step 177 from proof inv-mkdir (previous step)

dcache[dentrykey(m6, str0)] = mkdentry(str0, entries[str0]), dirs0[m6] = mkdir(m4, md3, # links(m6, dirs0), m7, entries), dirs0[m0] = mkdir(m3, md1, # links(m0, dirs0), m5, entries0), (dirs0[m0, mkdir(m3 + 1, md1, # links(m0, dirs0), m5 + 1, entries0[str, ino0])] ++ ino0)[m6] = mkdir(m, md0, m1, m2, entries1), m1 = 0, afs-cons ((dirs0[m0, mkdir(m3 + 1, md1, # links(m0, dirs0), m5 + 1, entries0[str, ino0])] ++ ino0)[ino0, mkdir(0, md, 1, 0, ∅)] [m0, mkdir(m3 + 1, md2, # links(m0, dirs0), m5 + 1, entries0[str, ino0]) ], files), afs-cons(dirs0, files), synced(dirs0, icache0, pcache), str0 ∈ entries, m6 ∈ dirs0, dentrykey(m6, str0) ∈ dcache, m0 ∈ dirs0, asynced1 → synced(files, icache0, pcache), ∀ key0. key0 ∈ dcache → key0.dentry? ∧ key0.name = dcache[key0].name ∧ key0.ino ∈ dirs0 ∧ (links(key0.ino, dirs0) ≠ ∅ ∨ key0.ino = ROOT_INO) ∧ (dcache[key0].ino ∈ dirs0 ∨ dcache[key0].ino ∈ files) ∧ dcache[key0].name ∈ dirs0[key0.ino].entries ∧ dcache[key0].ino = dirs0[key0.ino].entries[dcache[key0].name] ∧ dcache[key0].dentry?, links(m0, dirs0) ≠ ∅ ∨ m0 = ROOT_INO, entries[str0] ∈ dirs0 ∨ entries[str0] ∈ files ⊦ # links(m6, dirs0) = 0, entries[str0] = ino0, dentrykey(m6, str0) = dentrykey(m0, str), ino0 = 0, links(m6, dirs0) = ∅, m6 = m0, m6 = ROOT_INO, str ∈ entries0, ino0 ∈ files, ino0 ∈ dirs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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