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Proof step 140 from proof fsync-pages-keep-abs (previous step)

# buf = VFS_PAGE_SIZE, pcache0[datakey(ino, n0)] = mkpentry(boolvar1, content0[n0]), (∅)[ino] = mkientry(boolvar0, mkinode(m3, md0, boolvar, m4, m5, m6)), pcache[datakey(m, n)] = mkpentry(true, buf), files0[m] = mkfile(m0, md, m1, content), files0[ino] = mkfile(m7, md1, m8, content0), files1[ino] = mkfile(m7, md1, m8, content1), mkfile(m7, md1, m8, content0) = mkfile(m9, md2, m10, content2), n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), n0 ∈ content0, m ∈ files0, datakey(m, n) ∈ pcache, ino ∈ files1, ino ∈ files0, datakey(ino, n0) ∈ pcache0, n0 ∈ content1 ⊕ mkcontent(ino, pcache0), ∀ ino0. (ino0 ∈ files0 ↔ ino0 ∈ files1) ∧ (ino0 ∈ files0 → ((files0 ⊕ pcache) ⊕ icache)[ino0] = ((files1 ⊕ pcache0) ⊕ icache)[ino0]) ⊦ datakey(ino, n0) = datakey(m, n), ino = m, datakey(ino, n0) ∈ pcache, ino ∈ icache, m7 = m9 ∧ md1 = md2 ∧ m8 = m10 ∧ n0 ∈ content2 ⊕ mkcontent(ino, pcache[datakey(m, n), mkpentry(false, buf)]) ∧ (content1 ⊕ mkcontent(ino, pcache0))[n0] = (content2 ⊕ mkcontent(ino, pcache[datakey(m, n), mkpentry(false, buf)]))[n0]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 141:
# buf = VFS_PAGE_SIZE, pcache0[datakey(ino, n0)] = mkpentry(boolvar1, content2[n0]), (∅)[ino] = mkientry(boolvar0, mkinode(m3, md0, boolvar, m4, m5, m6)), pcache[datakey(m, n)] = mkpentry(true, buf), files0[m] = mkfile(m0, md, m1, content), files0[ino] = mkfile(m7, md1, m8, content2), files1[ino] = mkfile(m7, md1, m8, content1), n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), n0 ∈ content2, m ∈ files0, datakey(m, n) ∈ pcache, ino ∈ files1, ino ∈ files0, datakey(ino, n0) ∈ pcache0, n0 ∈ content1 ⊕ mkcontent(ino, pcache0), n0 ∈ content2 ⊕ mkcontent(ino, pcache[datakey(m, n), mkpentry(false, buf)]), ∀ ino0. (ino0 ∈ files0 ↔ ino0 ∈ files1) ∧ (ino0 ∈ files0 → ((files0 ⊕ pcache) ⊕ icache)[ino0] = ((files1 ⊕ pcache0) ⊕ icache)[ino0]) ⊦ (content1 ⊕ mkcontent(ino, pcache0))[n0] = (content2 ⊕ mkcontent(ino, pcache[datakey(m, n), mkpentry(false, buf)]))[n0], datakey(ino, n0) = datakey(m, n), ino = m, datakey(ino, n0) ∈ pcache, ino ∈ icache

Rule argument

Additional information

Used simplifier rules: ⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1; (ws)%⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws)