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Proof step 484 from proof overwrite-write-page-clean (previous step)

files[ino] = mkfile(m2, md0, m3, content0), icache[ino0] = mkientry(boolvar, mkinode(m0, md, true, m1, m4, m5)), files[ino0] = mkfile(m6, md1, m7, content), pcache[datakey(ino, m), mkpentry(false, buf)][datakey(ino0, m)] = mkpentry(boolvar0, buf0), datakey(ino0, m) ∈ pcache[datakey(ino, m), mkpentry(false, buf)], ino0 ∈ files, ino ∈ files, ino0 ∈ icache, datakey(ino0, m) ∈ pcache ⊦ (content ⊕ mkcontent(ino0, pcache))[m] = buf0, ino ∈ icache, m ∈ content

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 485:
pcache[datakey(ino, m), mkpentry(false, buf)][datakey(ino0, m)] = mkpentry(boolvar0, buf0), files[ino0] = mkfile(m6, md1, m7, content), icache[ino0] = mkientry(boolvar, mkinode(m0, md, true, m1, m4, m5)), files[ino] = mkfile(m2, md0, m3, content0), datakey(ino0, m) ∈ pcache, ino0 ∈ icache, ino ∈ files, ino0 ∈ files, datakey(ino0, m) ∈ pcache[datakey(ino, m), mkpentry(false, buf)] ⊦ (content ⊕ mkcontent(ino0, pcache))[m] = buf0, datakey(ino0, m) = datakey(ino, m), m ∈ content, ino ∈ icache

Rule argument

fma: datakey(ino0, m) = datakey(ino, m)

Additional information

Used simplifier rules: ⊦ datakey(m, m0) = datakey(m1, m2) ↔ m = m1 ∧ m0 = m2; (ws) Used formulas: datakey(ino0, m) = datakey(ino, m)