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Proof step 98 from proof inv-truncate-buff-none-uncached (previous step)

asynced ↔ false, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files1[m3] = mkfile(m1, md1, # links(m3, dirs), content0), buf = some(fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)).buf, err = ESUCCESS, ino = m3, key = datakey(ino, pageno), pageno = m2 / VFS_PAGE_SIZE, pcache = truncate(m3, m2, pcache0), pe = mkpentry(asynced, buf), some(fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)).some?, afs-cons(dirs, files1), afs-cons (dirs, files1 [m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ]), dcache-cons(dcache, dirs, files1), icache-cons(icache, dirs, files1), pcache-cons(pcache0, dirs, files1), synced(dirs, icache, pcache0), m2 / VFS_PAGE_SIZE ∈ content0, m3 ∈ files1, m2 ≤ m, m2 % VFS_PAGE_SIZE + n0 ≤ # content0[m2 / VFS_PAGE_SIZE], asynced2 → synced(files1, icache, pcache0), ∀ key. key ∈ pcache0 → key.data? ⊦ ⟪skip⟫ ( icache-cons (icache[m3, mkientry(false, mkinode(m3, md, false, # links(m3, dirs), 0, m))], dirs, files1 [m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ]) ∧ dcache-cons (dcache, dirs, files1 [m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ]) ∧ pcache-cons (pcache[key, pe], dirs, files1 [m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ]) ∧ synced(dirs, icache[m3, mkientry(false, mkinode(m3, md, false, # links(m3, dirs), 0, m))], pcache[key, pe]) ∧ ( asynced2 → synced (files1 [m3, mkfile (m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ], icache[m3, mkientry(false, mkinode(m3, md, false, # links(m3, dirs), 0, m))], pcache[key, pe]))), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, datakey(m3, m2 / VFS_PAGE_SIZE) ∈ pcache0

Heuristic symbolic execution applied rule skip right

And obtained the following new goals

Proof step 99:
asynced ↔ false, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files1[m3] = mkfile(m1, md1, # links(m3, dirs), content0), buf = some(fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)).buf, err = ESUCCESS, ino = m3, key = datakey(ino, pageno), pageno = m2 / VFS_PAGE_SIZE, pcache = truncate(m3, m2, pcache0), pe = mkpentry(asynced, buf), some(fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)).some?, afs-cons (dirs, files1 [m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ]), afs-cons(dirs, files1), dcache-cons(dcache, dirs, files1), icache-cons(icache, dirs, files1), pcache-cons(pcache0, dirs, files1), synced(dirs, icache, pcache0), m3 ∈ files1, m2 / VFS_PAGE_SIZE ∈ content0, m2 % VFS_PAGE_SIZE + n0 ≤ # content0[m2 / VFS_PAGE_SIZE], m2 ≤ m, asynced2 → synced(files1, icache, pcache0), ∀ key. key ∈ pcache0 → key.data? ⊦ m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, datakey(m3, m2 / VFS_PAGE_SIZE) ∈ pcache0, icache-cons (icache[m3, mkientry(false, mkinode(m3, md, false, # links(m3, dirs), 0, m))], dirs, files1 [m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ]) ∧ dcache-cons (dcache, dirs, files1 [m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ]) ∧ pcache-cons (pcache[key, pe], dirs, files1 [m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ]) ∧ synced(dirs, icache[m3, mkientry(false, mkinode(m3, md, false, # links(m3, dirs), 0, m))], pcache[key, pe]) ∧ ( asynced2 → synced (files1 [m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ], icache[m3, mkientry(false, mkinode(m3, md, false, # links(m3, dirs), 0, m))], pcache[key, pe]))

Proof step 98 from proof inv-truncate-buff-none-uncached (previous step)

Heuristic symbolic execution applied rule skip right

And obtained the following new goals

Rule argument

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