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Proof step 350 from proof overwrite-write-page-clean (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 351:
((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino] = mkfile(m2, md0, m3, content0), icache[ino0] = mkientry(boolvar, mkinode(m4, md1, false, m5, m6, m7)), files[ino0] = mkfile(m8, md2, m9, content1), ino ∈ files, ino0 ∈ files, ino ∈ icache, ino0 ∈ icache ⊦ (content1 ⊕ mkcontent(ino0, pcache))[m] = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[m], datakey(ino0, m) = datakey(ino, m), m ∈ content1, datakey(ino0, m) ∈ pcache

Proof step 350 from proof overwrite-write-page-clean (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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