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Proof step 1181 from proof refine-truncate-buff-some (previous step)

# buf-opt0.buf = VFS_PAGE_SIZE, cache_files[m] = mkfile(m1, md2, # links(m, cache_dirs), content1), cache_icache[m] = mkientry(boolvar0, mkinode(m0, md0, false, # links(m, cache_dirs), m11, m12)), buf-opt0.some?, afs-cons(cache_dirs, cache_files), afs-cons(cache_dirs, (cache_files ⊕ cache_pcache0) ⊕ cache_icache), dcache-cons(cache_dcache, cache_dirs, cache_files), icache-cons(cache_icache, cache_dirs, cache_files), pcache-cons(cache_pcache0, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache0), m ∈ cache_files, m ∈ cache_icache, cache_sync → synced(cache_files, cache_icache, cache_pcache0), ∀ key. key ∈ cache_pcache0 → key.data? ⊦ m2 ≤ m8 ∧ m2 % VFS_PAGE_SIZE ≠ 0, m8 = m8 ∧ md = md ∧ # links(m, cache_dirs) = # links(m, cache_dirs) ∧ (content1 ⊕ mkcontent(m, cache_pcache0)) upto min(m8, m2) = (content1 upto min(m8, m2)) ⊕ mkcontent(m, truncate(m, min(m8, m2), cache_pcache0))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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