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Proof step 191 from proof inv-evict (previous step)

# links(m, dirs) = 0, icache[ino] = mkientry(boolvar, inode), files[m] = mkfile(m0, md, 0, content), pcache[datakey(ino, n)] = mkpentry(true, buf), afs-cons(dirs, files), afs-cons(dirs, files -- m), synced(dirs, icache, pcache), datakey(ino, n) ∈ pcache, m ∈ files, ino ∈ dirs, ino ∈ icache → ¬ boolvar, asynced1 → synced(files, icache, pcache), ∀ n. datakey(ino, n) ∈ pcache → ¬ pcache[datakey(ino, n)].dirty, ∀ key. key ∈ evict(m, pcache) → key.data? ∧ key.ino ≠ m, ∀ key. key ∈ pcache → key.data? ⊦ m = ROOT_INO, m ∈ dirs

Heuristic use patterns applied rule all left

And closed the goal!

Rule argument

pos: left 13 terms: n abort: T discard: F computed: F

Additional information

Used simplifier rules: ⊦ mkpentry(boolvar, buf).dirty ↔ boolvar; (s) Used terms: n