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Proof step 437 from proof inv-truncate-buff-none-cached (previous step)

# buf = VFS_PAGE_SIZE, asynced4 ↔ asynced0, files[m] = mkfile(m1, md1, # links(m, dirs), content0), pcache[datakey(m, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf), err = err0, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, datakey(m, m2 / VFS_PAGE_SIZE) ∈ pcache, ⌊err0⌋ , asynced2 → synced(files, icache, pcache) ⊦ ⟪if ¬ asynced4 ∨ err ≠ ESUCCESS then buf-opt := none⟫ (icache-cons(icache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 438:
# buf = VFS_PAGE_SIZE, asynced4 ↔ asynced0, pcache[datakey(m, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf), files[m] = mkfile(m1, md1, # links(m, dirs), content0), err = err0, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), datakey(m, m2 / VFS_PAGE_SIZE) ∈ pcache, m ∈ files, ⌊err0⌋ , asynced2 → synced(files, icache, pcache) ⊦ ⟪buf-opt := none⟫ (icache-cons(icache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ⌊err⌋ → err ≠ ESUCCESS; (s)