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Proof step 972 from proof overwrite-write-page-clean (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 973:
files[ino] = mkfile(m2, md0, m3, content0), files[ino0] = mkfile(m4, md1, m5, content1), datakey(ino, n) ∈ pcache, datakey(ino, n) ∈ pcache[datakey(ino, m), mkpentry(false, buf)], ino ∈ files, ino0 ∈ files ⊦ content1[n] = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[n], n = m, n ∈ content0, ino0 ∈ icache, ino ∈ icache, datakey(ino0, n) ∈ pcache

Rule argument

Additional information

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