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Proof step 105 from proof fsync-others-unchanged (previous step)

files1[m] = mkfile(m1, md1, # links(m, dirs), content0), files0[m] = mkfile(m0, md0, # links(m, dirs), content), inode0 = mkinode(m, md, boolvar, m2, m3, m4), 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), m ∈ files1, m ∈ files0, ino ∈ files0, ∀ ino. ino ≠ m ∧ ino ∈ files1 → ino ∈ files ∧ (files ⊕ icache1)[ino] = (files1 ⊕ icache0)[ino], ∀ ino. ino ≠ m ∧ ino ∈ files0 → ino ∈ files1 ∧ mkfile(files1[ino].size, files1[ino].meta, files1[ino].nlink, files1[ino].content ⊕ mkcontent(ino, pcache1)) = mkfile(files0[ino].size, files0[ino].meta, files0[ino].nlink, files0[ino].content ⊕ mkcontent(ino, pcache0)) ⊦ 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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