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Proof step 130 from proof inv-truncate-buff-some (previous step)

# buf-opt.buf = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, icache[ino] = mkientry(boolvar0, inode), truncate(m3, m2, pcache0)[datakey(ino, n)] = mkpentry(true, buf), files0[m3] = mkfile(m1, md1, # links(m3, dirs), content0), buf-opt.some?, afs-cons(dirs, files0), afs-cons (dirs, files0[m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n0)] upto m2)]), synced(dirs, icache, pcache0), datakey(ino, n) ∈ pcache0, ino ∈ dirs, m3 ∈ files0, m2 ≤ m, asynced1 → synced(files0, icache, pcache0), ino ∈ icache → ¬ boolvar0, ∀ key. key ∈ pcache0 → key.data?, ∀ n. datakey(ino, n) ∈ pcache0 → ¬ pcache0[datakey(ino, n)].dirty ⊦ m2 % VFS_PAGE_SIZE = 0, datakey(ino, n) = datakey(m3, m2 / VFS_PAGE_SIZE), ino = m3

Heuristic use patterns applied rule all left

And obtained the following new goals

Proof step 131:
# buf-opt.buf = VFS_PAGE_SIZE, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, files0[m3] = mkfile(m1, md1, # links(m3, dirs), content0), truncate(m3, m2, pcache0)[datakey(ino, n)] = mkpentry(true, buf), icache[ino] = mkientry(boolvar0, inode), buf-opt.some?, afs-cons (dirs, files0[m3, mkfile(m, md, # links(m3, dirs), content0[m2 / VFS_PAGE_SIZE, fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n0)] upto m2)]), afs-cons(dirs, files0), synced(dirs, icache, pcache0), m3 ∈ files0, ino ∈ dirs, datakey(ino, n) ∈ pcache0, m2 ≤ m, ino ∈ icache → ¬ boolvar0, asynced1 → synced(files0, icache, pcache0), datakey(ino, n) ∈ pcache0 → datakey(ino, n).data?, ∀ n. datakey(ino, n) ∈ pcache0 → ¬ pcache0[datakey(ino, n)].dirty, ∀ key. key ∈ pcache0 → key.data? ⊦ m2 % VFS_PAGE_SIZE = 0, datakey(ino, n) = datakey(m3, m2 / VFS_PAGE_SIZE), ino = m3

Rule argument

pos: left 16 terms: datakey(ino, n) abort: T discard: F computed: F

Additional information

Used terms: datakey(ino, n)