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Proof step 297 from proof inv-truncate-buff-none-cached (previous step)

# buf0 = VFS_PAGE_SIZE, pcache0[datakey(m0, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf0), files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), afs-cons(dirs, files0), afs-cons(dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), dcache-cons(dcache, dirs, files0), icache-cons(icache, dirs, files0), pcache-cons(pcache0, dirs, files0), synced(dirs, icache, pcache0), datakey(m0, m2 / VFS_PAGE_SIZE) ∈ pcache0, m0 ∈ files0, asynced2 → synced(files0, icache, pcache0), ∀ key. key ∈ pcache0 → key.data? ⊦ m2 ≤ m5 ∧ m2 % VFS_PAGE_SIZE ≠ 0, icache-cons (icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))], dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]) ∧ dcache-cons(dcache, dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]) ∧ pcache-cons(truncate(m0, min(m5, m2), pcache0), dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]) ∧ synced(dirs, icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))], truncate(m0, min(m5, m2), pcache0)) ∧ ( asynced2 → synced (files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))], icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))], truncate(m0, min(m5, m2), pcache0)))

Heuristic use patterns applied rule cut formula

And obtained the following new goals

Proof step 298:
# buf0 = VFS_PAGE_SIZE, files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), pcache0[datakey(m0, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf0), afs-cons(dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), afs-cons(dirs, files0), dcache-cons(dcache, dirs, files0), icache-cons(icache, dirs, files0), icache-cons (icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))], dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), pcache-cons(pcache0, dirs, files0), synced(dirs, icache, pcache0), m0 ∈ files0, datakey(m0, m2 / VFS_PAGE_SIZE) ∈ pcache0, asynced2 → synced(files0, icache, pcache0), ∀ key. key ∈ pcache0 → key.data? ⊦ icache-cons (icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))], dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]) ∧ dcache-cons(dcache, dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]) ∧ pcache-cons(truncate(m0, min(m5, m2), pcache0), dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]) ∧ synced(dirs, icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))], truncate(m0, min(m5, m2), pcache0)) ∧ ( asynced2 → synced (files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))], icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))], truncate(m0, min(m5, m2), pcache0))), m2 ≤ m5 ∧ m2 % VFS_PAGE_SIZE ≠ 0
Proof step 387:
# buf0 = VFS_PAGE_SIZE, files0[m0] = mkfile(m1, md1, # links(m0, dirs), content0), pcache0[datakey(m0, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf0), afs-cons(dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), afs-cons(dirs, files0), dcache-cons(dcache, dirs, files0), icache-cons(icache, dirs, files0), pcache-cons(pcache0, dirs, files0), synced(dirs, icache, pcache0), m0 ∈ files0, datakey(m0, m2 / VFS_PAGE_SIZE) ∈ pcache0, asynced2 → synced(files0, icache, pcache0), ∀ key. key ∈ pcache0 → key.data? ⊦ icache-cons (icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))], dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]), icache-cons (icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))], dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]) ∧ dcache-cons(dcache, dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]) ∧ pcache-cons(truncate(m0, min(m5, m2), pcache0), dirs, files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))]) ∧ synced(dirs, icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))], truncate(m0, min(m5, m2), pcache0)) ∧ ( asynced2 → synced (files0[m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2))], icache[m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5))], truncate(m0, min(m5, m2), pcache0))), m2 ≤ m5 ∧ m2 % VFS_PAGE_SIZE ≠ 0

Rule argument

fma: icache-cons (icache [m0, mkientry (false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5)) ], dirs, files0 [m0, mkfile (m5, md0, # links(m0, dirs), content0 upto min(m5, m2)) ])

Additional information

Used formulas: icache-cons (icache [m0, mkientry(false, mkinode(m0, md0, false, # links(m0, dirs), 0, m5)) ], dirs, files0 [m0, mkfile(m5, md0, # links(m0, dirs), content0 upto min(m5, m2)) ])