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Proof step 520 from proof fsync-pages-keep-abs (previous step)

# buf = VFS_PAGE_SIZE, n0 ∈ content ↔ n0 ∈ content1, files0[m] = mkfile(m9, md2, m10, content), files1[m] = mkfile(m9, md2, m10, content1), (∅)[m] = mkientry(boolvar0, mkinode(m3, md0, boolvar, m4, m5, m6)), pcache[datakey(m, n)] = mkpentry(true, buf), content[n0] = content1[n0], n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), datakey(m, n) ∈ pcache, m ∈ files1, m ∈ files0, ⌊err0⌋ ⊦ n0 ∈ content1 ↔ n0 ∈ content[n, buf] ⊕ mkcontent(m, pcache), datakey(m, n0) ∈ pcache0, datakey(m, n0) ∈ pcache, m ∈ icache

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 521:
# buf = VFS_PAGE_SIZE, n0 ∈ content ↔ n0 ∈ content1, content[n0] = content1[n0], pcache[datakey(m, n)] = mkpentry(true, buf), (∅)[m] = mkientry(boolvar0, mkinode(m3, md0, boolvar, m4, m5, m6)), files1[m] = mkfile(m9, md2, m10, content1), files0[m] = mkfile(m9, md2, m10, content), n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), m ∈ files0, m ∈ files1, datakey(m, n) ∈ pcache, ⌊err0⌋ ⊦ n0 ∈ content1 ↔ n0 ∈ content[n, buf] ⊕ mkcontent(m, pcache), m ∈ icache, datakey(m, n0) ∈ pcache, datakey(m, n0) ∈ pcache0, n0 ∈ content

Rule argument

fma: n0 ∈ content

Additional information

Used simplifier rules: ⊦ n ∈ content0 ⊕ content1 ↔ n ∈ content0 ∨ n ∈ content1; (ws)% ⊦ n ∈ mkcontent(ino, pcache) ↔ datakey(ino, n) ∈ pcache; (s)% ⊦ n ∈ content[n0, buf] ↔ n = n0 ∨ n ∈ content; (ws) Used formulas: n0 ∈ content