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Proof step 154 from proof inv-unlink (previous step)

# links(entries0[str], dirs0) = m2 + 1, # files0[m5].content[m6] = VFS_PAGE_SIZE, (m5 = entries0[str] ⊃ mkfile(m3, md0, m2, content0);files0[m5]) = mkfile(m, md, m4, content), files0[entries0[str]] = mkfile(m1, md1, m2 + 1, content0), dirs0[m0] = mkdir(m8 + 1, md2, # links(m0, dirs0), m7, entries0), pcache[key] = mkpentry(false, files0[m5].content[m6]), key = datakey(m5, m6), key.data?, afs-cons(dirs0[m0, mkdir(m8, md3, # links(m0, dirs0), m7, entries0 -- str)], files0[entries0[str], mkfile(m3, md0, m2, content0)]), afs-cons(dirs0, files0), synced(dirs0, icache0, pcache), m5 ∈ files0, m0 ∈ dirs0, entries0[str] ∈ files0, str ∈ entries0, key ∈ pcache, m6 ∈ files0[m5].content, asynced1 → synced(files0, icache0, pcache), ∀ key0. key0 ∈ pcache → key0.data? ∧ # pcache[key0].page = VFS_PAGE_SIZE ∧ key0.ino ∈ files0 ∧ (¬ pcache[key0].dirty → key0.part ∈ files0[key0.ino].content ∧ pcache[key0].page = files0[key0.ino].content[key0.part]), links(m0, dirs0) ≠ ∅ ∨ m0 = ROOT_INO ⊦ m6 ∈ content ∧ files0[m5].content[m6] = content[m6]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 155:
# files0[m5].content[m6] = VFS_PAGE_SIZE, # links(entries0[str], dirs0) = m2 + 1, (m5 = entries0[str] ⊃ mkfile(m3, md0, m2, content0);files0[m5]) = mkfile(m, md, m4, content), pcache[datakey(m5, m6)] = mkpentry(false, files0[m5].content[m6]), dirs0[m0] = mkdir(m8 + 1, md2, # links(m0, dirs0), m7, entries0), files0[entries0[str]] = mkfile(m1, md1, m2 + 1, content0), afs-cons(dirs0, files0), afs-cons(dirs0[m0, mkdir(m8, md3, # links(m0, dirs0), m7, entries0 -- str)], files0[entries0[str], mkfile(m3, md0, m2, content0)]), synced(dirs0, icache0, pcache), m6 ∈ files0[m5].content, datakey(m5, m6) ∈ pcache, str ∈ entries0, entries0[str] ∈ files0, m0 ∈ dirs0, m5 ∈ files0, asynced1 → synced(files0, icache0, pcache), ∀ key0. key0 ∈ pcache → key0.data? ∧ # pcache[key0].page = VFS_PAGE_SIZE ∧ key0.ino ∈ files0 ∧ (¬ pcache[key0].dirty → key0.part ∈ files0[key0.ino].content ∧ pcache[key0].page = files0[key0.ino].content[key0.part]), links(m0, dirs0) ≠ ∅ ∨ m0 = ROOT_INO ⊦ m6 ∈ content ∧ files0[m5].content[m6] = content[m6]

Rule argument

Additional information

Used simplifier rules: ⊦ datakey(m, m0).data?; (s)