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Proof step 242 from proof inv-truncate-buff-none-cached (previous step)

# buf0 = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), pcache[datakey(m0, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf0), err = ESUCCESS, ino = m0, n = m, size = m2, afs-cons(dirs, files0), afs-cons(dirs, files0[m0, mkfile(m, md, # links(m0, dirs), content0[m2 / VFS_PAGE_SIZE, fill(buf0, zero, m2 % VFS_PAGE_SIZE, n0)] upto m2)]), dcache-cons(dcache, dirs, files0), icache-cons(icache, dirs, files0), pcache-cons(pcache, dirs, files0), synced(dirs, icache, pcache), m0 ∈ files0, datakey(m0, m2 / VFS_PAGE_SIZE) ∈ pcache, m2 ≤ m, asynced2 → synced(files0, icache, pcache) ⊦ m2 % VFS_PAGE_SIZE = 0, ∀ key. key ∈ pcache → key.data?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 243:
# buf0 = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, pcache[datakey(m0, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf0), files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), afs-cons(dirs, files0[m0, mkfile(m, md, # links(m0, dirs), content0[m2 / VFS_PAGE_SIZE, fill(buf0, zero, m2 % VFS_PAGE_SIZE, n0)] upto m2)]), afs-cons(dirs, files0), dcache-cons(dcache, dirs, files0), icache-cons(icache, dirs, files0), pcache-cons(pcache, dirs, files0), synced(dirs, icache, pcache), key ∈ pcache, datakey(m0, m2 / VFS_PAGE_SIZE) ∈ pcache, m0 ∈ files0, m2 ≤ m, asynced2 → synced(files0, icache, pcache) ⊦ m2 % VFS_PAGE_SIZE = 0, key.data?

Proof step 242 from proof inv-truncate-buff-none-cached (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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