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Proof step 662 from proof overwrite-write-page-clean (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 663:
files[ino0] = mkfile(m6, md1, m7, content), icache[ino0] = mkientry(boolvar, mkinode(m0, md, false, m1, m4, m5)), files[ino] = mkfile(m2, md0, m3, content0), ino0 ∈ icache, ino ∈ files, ino0 ∈ files, n ∈ content0[m, buf], n ∈ mkcontent(ino0, pcache) ⊦ (content ⊕ mkcontent(ino0, pcache))[n] = (content ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[n], datakey(ino, n) = datakey(ino, m), datakey(ino, n) ∈ pcache, ino ∈ icache
Proof step 669:
files[ino0] = mkfile(m6, md1, m7, content), icache[ino0] = mkientry(boolvar, mkinode(m0, md, false, m1, m4, m5)), files[ino] = mkfile(m2, md0, m3, content0), ino0 ∈ icache, ino ∈ files, ino0 ∈ files, n ∈ content0[m, buf] ⊦ (content ⊕ mkcontent(ino0, pcache))[n] = (content ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[n], datakey(ino, n) = datakey(ino, m), datakey(ino, n) ∈ pcache, ino ∈ icache, n ∈ mkcontent(ino0, pcache)

Rule argument

fma: n ∈ mkcontent(ino0, pcache)

Additional information

Used formulas: n ∈ mkcontent(ino0, pcache)