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Proof step 911 from proof refine-truncate-buff-some (previous step)

# buf-opt0.buf = VFS_PAGE_SIZE, cache_pcache0[datakey(ino, n)] = mkpentry(boolvar1, buf), (∅)[ino] = mkientry(boolvar0, mkinode(m, md, boolvar, m4, m5, m7)), cache_icache[m3] = mkientry(boolvar2, mkinode(m9, md3, true, m10, m11, m12)), cache_files[ino] = mkfile(m8, md1, # links(ino, cache_dirs), content), cache_files[m3] = mkfile(m1, md2, # links(m3, cache_dirs), content1), truncate(m3, min(m6, m2), cache_pcache0)[datakey(ino, n)] = mkpentry(boolvar3, buf0), buf-opt0.some?, 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), pcache-cons(cache_pcache0, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache0), n ∈ content ⊕ mkcontent(ino, truncate(m3, min(m6, m2), cache_pcache0)), n ∈ content ⊕ mkcontent(ino, cache_pcache0), ino ∈ cache_files, m3 ∈ cache_files, m3 ∈ cache_icache, datakey(ino, n) ∈ cache_pcache0, cache_sync → synced(cache_files, cache_icache, cache_pcache0), ∀ key. key ∈ cache_pcache0 → key.data? ⊦ buf = buf0, ino ∈ cache_icache, m2 ≤ m6 ∧ m2 % VFS_PAGE_SIZE ≠ 0

Heuristic use patterns applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: pcache-del-ops name: at-truncate seq: ⊦ key.data? ∧ key ∈ pcache ∧ (key.part * VFS_PAGE_SIZE < size ∨ ino ≠ key.ino) → truncate(ino, size, pcache)[key] = pcache[key] subst: [key, pcache, size, ino] → [datakey(ino, n), cache_pcache0, min(m6, m2), m3] flags: <all paths>

Additional information

Used simplifier rules: ⊦ datakey(m, m0).data?; (s)% ⊦ datakey(m, m0).part = m0; (s)% ⊦ datakey(m, m0).ino = m; (s)%⊦ mkpentry(boolvar, buf) = mkpentry(boolvar0, buf0) ↔ (boolvar ↔ boolvar0) ∧ buf = buf0; (ws) Used terms: datakey(ino, n), cache_pcache0, min(m6, m2), m3