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Proof step 815 from proof refine-truncate-buff-none-uncached (previous step)

m2 + n0 = m2 / VFS_PAGE_SIZE * VFS_PAGE_SIZE + VFS_PAGE_SIZE, (∅)[m1] = mkientry(boolvar0, mkinode(m4, md, boolvar, m5, m6, m7)), cache_files[m1] = mkfile(m3, md1, # links(m1, cache_dirs), content1), # (content1 ⊕ mkcontent(m1, cache_pcache0))[m2 / VFS_PAGE_SIZE] < VFS_PAGE_SIZE, afs-cons(cache_dirs, (cache_files ⊕ cache_pcache0) ⊕ cache_icache), afs-cons(cache_dirs, cache_files), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache0), m1 ∈ cache_files, m2 / VFS_PAGE_SIZE ∈ content1, m2 ≤ m, cache_sync → synced(cache_files, cache_icache, cache_pcache0), datakey(m1, m2 / VFS_PAGE_SIZE) ∈ cache_pcache0 → datakey(m1, m2 / VFS_PAGE_SIZE).data? ∧ # cache_pcache0[datakey(m1, m2 / VFS_PAGE_SIZE)].page = VFS_PAGE_SIZE ∧ datakey(m1, m2 / VFS_PAGE_SIZE).ino ∈ cache_files ∧ ( ¬ cache_pcache0[datakey(m1, m2 / VFS_PAGE_SIZE)].dirty → datakey(m1, m2 / VFS_PAGE_SIZE).part ∈ cache_files[datakey(m1, m2 / VFS_PAGE_SIZE).ino].content ∧ cache_pcache0[datakey(m1, m2 / VFS_PAGE_SIZE)].page = cache_files[datakey(m1, m2 / VFS_PAGE_SIZE).ino].content[datakey(m1, m2 / VFS_PAGE_SIZE).part]), ∀ key. key ∈ cache_pcache0 → key.data?, ∀ key. key ∈ cache_pcache0 → key.data? ∧ # cache_pcache0[key].page = VFS_PAGE_SIZE ∧ key.ino ∈ cache_files ∧ (¬ cache_pcache0[key].dirty → key.part ∈ cache_files[key.ino].content ∧ cache_pcache0[key].page = cache_files[key.ino].content[key.part]) ⊦ m2 = m2 / VFS_PAGE_SIZE * VFS_PAGE_SIZE, datakey(m1, m2 / VFS_PAGE_SIZE) ∈ cache_pcache0, m1 ∈ cache_icache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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