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Proof step 308 from proof inv-truncate-buff-some (previous step)

# buf-opt.buf = VFS_PAGE_SIZE, files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), pcache[datakey(ino, n)] = mkpentry(true, buf), icache[ino] = mkientry(boolvar0, inode), datakey(ino, n).data?, buf-opt.some?, afs-cons(dirs, files0), afs-cons(dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), synced(dirs, icache, pcache), m0 ∈ files0, ino ∈ dirs, datakey(ino, n) ∈ pcache, ino ∈ icache → ¬ boolvar0, asynced1 → synced(files0, icache, pcache), ∀ n. datakey(ino, n) ∈ pcache → ¬ pcache[datakey(ino, n)].dirty, ∀ key. key ∈ pcache → key.data?, datakey(ino, n).part * VFS_PAGE_SIZE < min(m5, m2) ∨ m0 ≠ datakey(ino, n).ino ⊦ ino = m0, m2 ≤ m5 ∧ m2 % VFS_PAGE_SIZE ≠ 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 309:
# buf-opt.buf = VFS_PAGE_SIZE, icache[ino] = mkientry(boolvar0, inode), pcache[datakey(ino, n)] = mkpentry(true, buf), files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), buf-opt.some?, afs-cons(dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), afs-cons(dirs, files0), synced(dirs, icache, pcache), datakey(ino, n) ∈ pcache, ino ∈ dirs, m0 ∈ files0, asynced1 → synced(files0, icache, pcache), ino ∈ icache → ¬ boolvar0, ∀ key. key ∈ pcache → key.data?, ∀ n. datakey(ino, n) ∈ pcache → ¬ pcache[datakey(ino, n)].dirty ⊦ ino = m0, m2 ≤ m5 ∧ m2 % VFS_PAGE_SIZE ≠ 0

Rule argument

Additional information

Used simplifier rules: ⊦ datakey(m, m0).ino = m; (s)% ⊦ datakey(m, m0).part = m0; (s)% ⊦ datakey(m, m0).data?; (s)