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Proof step 813 from proof overwrite-write-page-clean (previous step)

files[ino] = mkfile(m2, md0, m3, content0), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino0] = mkfile(m4, md1, m5, content1), ino ∈ icache, ino0 ∈ files, ino ∈ files, n ∈ content0[m, buf] ⊦ n ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content1 ∨ n ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), datakey(ino, n) = datakey(ino, m), datakey(ino, n) ∈ pcache, ino0 ∈ icache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 814:
files[ino0] = mkfile(m4, md1, m5, content1), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino] = mkfile(m2, md0, m3, content0), n ∈ content0[m, buf], ino ∈ files, ino0 ∈ files, ino ∈ icache ⊦ n ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content1 ∨ datakey(ino0, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)], datakey(ino, n) = datakey(ino, m), ino0 ∈ icache, datakey(ino, n) ∈ pcache

Rule argument

Additional information

Used simplifier rules: in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;