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Proof step 332 from proof inv-truncate-buff-some (previous step)

# buf0 = VFS_PAGE_SIZE, # buf-opt.buf = VFS_PAGE_SIZE, (m = m0 ⊃ mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2));mkfile(m7, md2, # links(m, dirs), content1)) = mkfile(m4, md, m6, content), files0[m] = mkfile(m7, md2, # links(m, dirs), content1), files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), pcache[datakey(m, m3)] = mkpentry(boolvar, buf), pcache[datakey(m, m3)] = mkpentry(boolvar0, buf0), datakey(m, m3).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), m ∈ files0, m0 ∈ files0, datakey(m, m3) ∈ pcache, ¬ boolvar0 → m3 ∈ content1 ∧ buf0 = content1[m3], asynced1 → synced(files0, icache, pcache), ∀ key. key ∈ pcache → key.data? ∧ # pcache[key].page = VFS_PAGE_SIZE ∧ key.ino ∈ files0 ∧ (¬ pcache[key].dirty → key.part ∈ files0[key.ino].content ∧ pcache[key].page = files0[key.ino].content[key.part]), ∀ key. key ∈ pcache → key.data?, m3 * VFS_PAGE_SIZE < min(m5, m2) ∨ m0 ≠ m, datakey(m, m3).part * VFS_PAGE_SIZE < min(m5, m2) ∨ m0 ≠ datakey(m, m3).ino ⊦ # buf = VFS_PAGE_SIZE ∧ (¬ boolvar → m3 ∈ content ∧ buf = content[m3]), m2 ≤ m5 ∧ m2 % VFS_PAGE_SIZE ≠ 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 333:
# buf-opt.buf = VFS_PAGE_SIZE, (m = m0 ⊃ mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2));mkfile(m7, md2, # links(m, dirs), content1)) = mkfile(m4, md, m6, content), files0[m] = mkfile(m7, md2, # links(m, dirs), content1), files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), pcache[datakey(m, m3)] = mkpentry(false, content1[m3]), 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), m3 ∈ content1, m ∈ files0, m0 ∈ files0, datakey(m, m3) ∈ pcache, asynced1 → synced(files0, icache, pcache), ∀ key. key ∈ pcache → key.data? ∧ # pcache[key].page = VFS_PAGE_SIZE ∧ key.ino ∈ files0 ∧ (¬ pcache[key].dirty → key.part ∈ files0[key.ino].content ∧ pcache[key].page = files0[key.ino].content[key.part]), ∀ key. key ∈ pcache → key.data?, m3 * VFS_PAGE_SIZE < min(m5, m2) ∨ m0 ≠ m ⊦ m3 ∈ content ∧ content1[m3] = content[m3], m2 ≤ m5 ∧ m2 % VFS_PAGE_SIZE ≠ 0

Rule argument

Additional information

Used simplifier rules: ⊦ afs-cons(dirs, files) ∧ ino ∈ files ∧ files[ino] = mkfile(m, md, n0, content) ∧ n ∈ content → # content[n] = VFS_PAGE_SIZE; (s)%⊦ mkpentry(boolvar, buf) = mkpentry(boolvar0, buf0) ↔ (boolvar ↔ boolvar0) ∧ buf = buf0; (ws)% ⊦ datakey(m, m0).ino = m; (s)% ⊦ datakey(m, m0).part = m0; (s)% ⊦ datakey(m, m0).data?; (s)