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Proof step 281 from proof overwrite-write-page-clean (previous step)

files[ino0] = mkfile(m8, md2, m9, content1), icache[ino0] = mkientry(boolvar, mkinode(m4, md1, true, m5, m6, m7)), files[ino] = mkfile(m2, md0, m3, content0), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), ino ∈ icache, ino0 ∈ files, ino ∈ files, ino0 ∈ icache ⊦ n ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ n ∈ content1 ∨ n ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]), datakey(ino, n) = datakey(ino, m), ino0 = ino, n ∈ content1, n ∈ content0, datakey(ino, n) ∈ pcache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 282:
((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino] = mkfile(m2, md0, m3, content0), icache[ino0] = mkientry(boolvar, mkinode(m4, md1, true, m5, m6, m7)), files[ino0] = mkfile(m8, md2, m9, content1), ino0 ∈ icache, ino ∈ files, ino0 ∈ files, ino ∈ icache ⊦ n ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ datakey(ino0, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)], datakey(ino, n) = datakey(ino, m), ino0 = ino, datakey(ino, n) ∈ pcache, n ∈ content0, n ∈ content1

Rule argument

Additional information

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