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Proof step 76 from proof refine-truncate-buff-some (previous step)

# buf-opt0.buf = VFS_PAGE_SIZE, asynced ↔ false, asynced4 ↔ true, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, cache_files[m3] = mkfile(m1, md2, # links(m3, cache_dirs), content1), ((cache_files ⊕ cache_pcache0) ⊕ cache_icache)[m3] = mkfile(m0, md0, # links(m3, cache_dirs), content0), buf = some(fill(buf-opt0.buf, zero, m2 % VFS_PAGE_SIZE, n0)).buf, buf-opt1 = some(fill(buf-opt0.buf, zero, m2 % VFS_PAGE_SIZE, n0)), cache_pcache = truncate(m3, m2, cache_pcache0), err = ESUCCESS, ino = m3, key = datakey(ino, pageno), pageno = m2 / VFS_PAGE_SIZE, pcache = cache_pcache, pe = mkpentry(asynced, buf), buf-opt0.some?, some(fill(buf-opt0.buf, zero, m2 % VFS_PAGE_SIZE, n0)).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), m3 ∈ cache_files, m2 % VFS_PAGE_SIZE + n0 ≤ # buf-opt0.buf, m2 ≤ m, cache_sync → synced(cache_files, cache_icache, cache_pcache0), ∀ key. key ∈ cache_pcache0 → key.data? ⊦ ⟪if (¬ asynced4 ∨ err ≠ ESUCCESS) ∧ ¬ buf-opt0.some? then buf-opt1 := none⟫ ⟨inode0 := mkinode(m3, md, false, # links(m3, cache_dirs), 0, m2); cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; cache_dirs2 := cache_dirs, buf-opt := buf-opt0; cache_dirs3 := cache_dirs; cache_dirs0 := cache_dirs; cache_dirs1 := cache_dirs; afs_files := (cache_files ⊕ cache_pcache0) ⊕ cache_icache; afs_truncate#(m, 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(m, md, # links(m3, cache_dirs2), content1[m2 / VFS_PAGE_SIZE, fill(buf-opt.buf, zero, m2 % VFS_PAGE_SIZE, n0)] upto m2) ] ⊕ pcache[key, pe]) ⊕ cache_icache[m3, mkientry(false, mkinode(m3, md, false, # links(m3, cache_dirs0), 0, m))] ∧ (cache_asynced ↔ asynced0) ∧ buf-opt1 = buf-opt0 ∧ (m3 ∈ cache_dirs1 ⊃ mkinode(m3, cache_dirs1[m3].meta, true, cache_dirs1[m3].nlink, cache_dirs1[m3].nsubdirs, cache_dirs1[m3].size) ;mkinode(m3, md, false, # links(m3, cache_dirs1), 0, m) ) = inode0 ∧ (asynced4 ↔ asynced5) ∧ err = err0), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Rule argument

pos: right 1

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