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Proof step 931 from proof overwrite-write-page-clean (previous step)

pcache[datakey(ino0, m)] = mkpentry(boolvar, buf0), files[ino0] = mkfile(m4, md1, m5, content1), files[ino] = mkfile(m2, md0, m3, content0), ino0 ∈ files, ino ∈ files, datakey(ino0, m) ∈ pcache, m ∈ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]) ⊦ buf0 = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[m], ino0 = ino, ino ∈ icache, ino0 ∈ icache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 932:
files[ino] = mkfile(m2, md0, m3, content0), files[ino0] = mkfile(m4, md1, m5, content1), pcache[datakey(ino0, m)] = mkpentry(boolvar, buf0), datakey(ino0, m) ∈ pcache, ino ∈ files, ino0 ∈ files, datakey(ino0, m) ∈ pcache[datakey(ino, m), mkpentry(false, buf)] ⊦ buf0 = pcache[datakey(ino, m), mkpentry(false, buf)][datakey(ino0, m)].page, ino0 = ino, ino0 ∈ icache, ino ∈ icache

Rule argument

Additional information

Used simplifier rules: at-overwrite-content-new: ⊦ n ∈ content1 → (content0 ⊕ content1)[n] = content1[n];%at-mkcontent: ⊦ mkcontent(ino, pcache)[n] = pcache[datakey(ino, n)].page;%in-mkcontent: ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache;