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Proof step 861 from proof refine-truncate-buff-none-uncached (previous step)

VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, cache_files[m1] = mkfile(m3, md1, # links(m1, cache_dirs), content), ((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m1] = mkfile(m0, md0, # links(m1, cache_dirs), content0), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = ESUCCESS, ino = m1, n = m, pcache = cache_pcache, size = m2, afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ cache_icache), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), m2 / VFS_PAGE_SIZE ∈ content, m1 ∈ cache_files, m2 ≤ m, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ m2 % VFS_PAGE_SIZE = 0, datakey(m1, m2 / VFS_PAGE_SIZE) ∈ cache_pcache, ∀ key. key ∈ pcache → key.data?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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