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Proof step 706 from proof overwrite-write-page-clean (previous step)

files[ino0] = mkfile(m4, md1, m5, content1), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino] = mkfile(m2, md0, m3, content0), ino ∈ files, ino0 ∈ files, ino ∈ icache, m ∈ content ⊦ ino0 ∈ icache, (m ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ m ∈ content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])) ∧ (content1 ⊕ mkcontent(ino0, pcache))[m] = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[m]

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 707:
files[ino] = mkfile(m2, md0, m3, content0), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino0] = mkfile(m4, md1, m5, content1), m ∈ content, ino ∈ icache, ino0 ∈ files, ino ∈ files, m ∈ mkcontent(ino0, pcache) ⊦ ino0 ∈ icache, (m ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ m ∈ content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])) ∧ (content1 ⊕ mkcontent(ino0, pcache))[m] = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[m]
Proof step 719:
files[ino] = mkfile(m2, md0, m3, content0), ((files ⊕ pcache) ⊕ icache)[ino] = mkfile(m0, md, m1, content), files[ino0] = mkfile(m4, md1, m5, content1), m ∈ content, ino ∈ icache, ino0 ∈ files, ino ∈ files ⊦ ino0 ∈ icache, m ∈ mkcontent(ino0, pcache), (m ∈ content1 ⊕ mkcontent(ino0, pcache) ↔ m ∈ content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)])) ∧ (content1 ⊕ mkcontent(ino0, pcache))[m] = (content1 ⊕ mkcontent(ino0, pcache[datakey(ino, m), mkpentry(false, buf)]))[m]

Rule argument

fma: m ∈ mkcontent(ino0, pcache)

Additional information

Used formulas: m ∈ mkcontent(ino0, pcache)