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Proof step 941 from proof refine-truncate-buff-none-uncached (previous step)

((cache_files ⊕ cache_pcache) ⊕ cache_icache)[m3] = mkfile(m0, md0, # links(m3, cache_dirs), content0), cache_files[m3] = mkfile(m1, md2, # links(m3, cache_dirs), content1), afs_files = (cache_files ⊕ cache_pcache) ⊕ cache_icache, err = ESUCCESS, ino = m3, n = m6, pcache = cache_pcache, size = m2, afs-cons(cache_dirs, (cache_files ⊕ cache_pcache) ⊕ 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_pcache, cache_dirs, cache_files), synced(cache_dirs, cache_icache, cache_pcache), m3 ∈ cache_files, cache_sync → synced(cache_files, cache_icache, cache_pcache) ⊦ ⟪if ∀ key. key ∈ pcache → key.data? then pcache := truncate(ino, min(n, size), pcache) else abort; inode1 := (m3 ∈ cache_dirs ⊃ mkinode(m3, cache_dirs[m3].meta, true, cache_dirs[m3].nlink, cache_dirs[m3].nsubdirs, cache_dirs[m3].size) ;mkinode (m3, (m3 ∈ cache_files ⊃ mkfile(m6, md1, # links(m3, cache_dirs), content1 upto min(m6, m2));cache_files[m3]).meta, false, (m3 ∈ cache_files ⊃ mkfile(m6, md1, # links(m3, cache_dirs), content1 upto min(m6, m2));cache_files[m3]).nlink, 0, (m3 ∈ cache_files ⊃ mkfile(m6, md1, # links(m3, cache_dirs), content1 upto min(m6, m2));cache_files[m3]).size) ); buf-opt := none; asynced1 := false; cache_pcache := pcache; if asynced1 then pcache_set#(inode1.ino, m2 / VFS_PAGE_SIZE, buf-opt.buf, false; err, cache_pcache); if ¬ asynced1 ∨ err ≠ ESUCCESS then buf-opt := none⟫ ⟨buf-opt0 := none; inode0 := mkinode(m3, md1, false, # links(m3, cache_dirs), 0, m2); cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; cache_dirs2 := cache_dirs; cache_dirs3 := cache_dirs; cache_dirs0 := cache_dirs; afs_truncate#(m6, m2 / VFS_PAGE_SIZE; buf-opt0, inode0, asynced5, err0, cache_dirs, afs_files, cache_asynced)⟩ ( cache_dirs = cache_dirs3 ∧ afs_files = (cache_files[m3, mkfile(m6, md1, # links(m3, cache_dirs2), content1 upto min(m6, m2))] ⊕ cache_pcache) ⊕ cache_icache[m3, mkientry(false, mkinode(m3, md1, false, # links(m3, cache_dirs0), 0, m6))] ∧ ¬ cache_asynced ∧ buf-opt = buf-opt0 ∧ inode1 = inode0 ∧ (asynced1 ↔ asynced5) ∧ err = err0), datakey(m3, m2 / VFS_PAGE_SIZE) ∈ cache_pcache, m2 ≤ m6 ∧ m2 % VFS_PAGE_SIZE ≠ 0 ∧ m2 / VFS_PAGE_SIZE ∈ content1

Heuristic conditional right split applied rule if right

And obtained the following new goals

Rule argument

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