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Proof step 111 from proof fsync-others-unchanged (previous step)

# links(ino, dirs) = m3, files1[m] = mkfile(m1, md1, # links(m, dirs), content0), files0[m] = mkfile(m0, md0, # links(m, dirs), content), files1[ino] = mkfile(m2, md, m3, content1), files0[ino] = mkfile(m2, md, m3, content2), content1 ⊕ mkcontent(ino, pcache1) = content2 ⊕ mkcontent(ino, pcache0), afs-cons(dirs, files1), afs-cons(dirs, files0), dcache-cons(dcache, dirs, files1), dcache-cons(dcache, dirs, files0), icache-cons(icache0, dirs, files1), icache-cons(icache0, dirs, files0), pcache-cons(pcache1, dirs, files1), pcache-cons(pcache0, dirs, files0), synced(dirs, icache0, pcache1), synced(dirs, icache0, pcache0), ino ∈ files1, m ∈ files1, m ∈ files0, ino ∈ files0, ∀ ino. ino ≠ m ∧ ino ∈ files1 → ino ∈ files ∧ (files ⊕ icache1)[ino] = (files1 ⊕ icache0)[ino] ⊦ err = ESUCCESS, ino = m, ino ∈ files ∧ ((files ⊕ pcache1) ⊕ icache1)[ino] = ((files0 ⊕ pcache0) ⊕ icache0)[ino]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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