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Proof step 223 from proof inv-truncate-buff-none-uncached (previous step)

VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files1[m0] = mkfile(m1, md1, # links(m0, dirs), content0), err = ESUCCESS, ino = m0, n = m, size = m2, afs-cons(dirs, files1), afs-cons (dirs, files1 [m0, mkfile(m, md, # links(m0, 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(pcache, dirs, files1), synced(dirs, icache, pcache), m2 / VFS_PAGE_SIZE ∈ content0, m0 ∈ files1, m2 ≤ m, asynced2 → synced(files1, icache, pcache) ⊦ m2 % VFS_PAGE_SIZE = 0, datakey(m0, m2 / VFS_PAGE_SIZE) ∈ pcache, ∀ key. key ∈ pcache → key.data?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 224:
VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files1[m0] = mkfile(m1, md1, # links(m0, dirs), content0), afs-cons (dirs, files1 [m0, mkfile(m, md, # links(m0, 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(pcache, dirs, files1), synced(dirs, icache, pcache), key ∈ pcache, m0 ∈ files1, m2 / VFS_PAGE_SIZE ∈ content0, m2 ≤ m, asynced2 → synced(files1, icache, pcache) ⊦ m2 % VFS_PAGE_SIZE = 0, key.data?, datakey(m0, m2 / VFS_PAGE_SIZE) ∈ pcache

Proof step 223 from proof inv-truncate-buff-none-uncached (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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