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Proof step 483 from proof fsync-pages-keep-abs (previous step)

# buf = VFS_PAGE_SIZE, (ino = m ⊃ mkfile(m0, md, m1, content[n, buf]);mkfile(m7, md1, m8, content0)) = mkfile(m9, md2, m10, content2), (∅)[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), content0 ⊕ mkcontent(ino, pcache) = content1 ⊕ mkcontent(ino, pcache0), n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), m ∈ files0, datakey(m, n) ∈ pcache, ino ∈ files1, ino ∈ files0, ⌊err0⌋ ⊦ mkfile(m7, md1, m8, content1 ⊕ mkcontent(ino, pcache0)) = mkfile(m9, md2, m10, content2 ⊕ mkcontent(ino, pcache)), ino ∈ icache

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 484:
# buf = VFS_PAGE_SIZE, (ino = m ⊃ mkfile(m0, md, m1, content[n, buf]);mkfile(m7, md1, m8, content0)) = mkfile(m9, md2, m10, content2), files1[ino] = mkfile(m7, md1, m8, content1), files0[ino] = mkfile(m7, md1, m8, content0), files0[m] = mkfile(m0, md, m1, content), pcache[datakey(m, n)] = mkpentry(true, buf), (∅)[ino] = mkientry(boolvar0, mkinode(m3, md0, boolvar, m4, m5, m6)), ino = m, content0 ⊕ mkcontent(ino, pcache) = content1 ⊕ mkcontent(ino, pcache0), n * VFS_PAGE_SIZE < m2, pcache-cons(pcache0, dirs, files1), ino ∈ files0, ino ∈ files1, datakey(m, n) ∈ pcache, m ∈ files0, ⌊err0⌋ ⊦ mkfile(m7, md1, m8, content1 ⊕ mkcontent(ino, pcache0)) = mkfile(m9, md2, m10, content2 ⊕ mkcontent(ino, pcache)), ino ∈ icache

Rule argument

fma: ino = m

Additional information

Used simplifier rules: ⊦ mkfile(m, md, m0, content) = mkfile(m1, md0, m2, content0) ↔ m = m1 ∧ md = md0 ∧ m0 = m2 ∧ content = content0; (ws) Used formulas: ino = m