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Proof step 60 from proof inv-truncate-buff-none-cached (previous step)

# buf = VFS_PAGE_SIZE, asynced0 ↔ asynced4, asynced ↔ asynced3, pcache[datakey(m, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf), files[m] = mkfile(m0, md0, # links(m, dirs), content), buf-opt = some(buf), err = ESUCCESS, inode = mkinode(m, md, false, # links(m, dirs), 0, m2), old_ino = 0, pageno = m2 / VFS_PAGE_SIZE, size = 0, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), pre-truncate(inode, n, pageno, buf-opt, dirs, files), synced(dirs, icache, pcache), datakey(m, m2 / VFS_PAGE_SIZE) ∈ pcache, m ∈ files, asynced2 → synced(files, icache, pcache) ⊦ [afs_truncate_internal#(n, pageno; inode, buf-opt, old_ino, size, asynced0, err, dirs, files; asynced)] ( afs-cons(dirs, files) → ⟪asynced4 := asynced0; if err = ESUCCESS then let asynced = false in {icache_set#(inode, asynced; err, icache); pcache_truncate#(inode.ino, m2, n; err, pcache); if asynced4 then pcache_set#(inode.ino, m2 / VFS_PAGE_SIZE, buf-opt.buf, asynced; err, pcache)}; if ¬ asynced4 ∨ err ≠ ESUCCESS then buf-opt := none⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))), VFS_PAGE_SIZE = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 61:
# buf = VFS_PAGE_SIZE, # links(m, dirs) = files[m].nlink, files[m] = mkfile(m0, md0, files[m].nlink, content), pcache[datakey(m, m2 / VFS_PAGE_SIZE)] = mkpentry(boolvar, buf), buf-opt = some(buf), err = ESUCCESS, inode = mkinode(m, md, false, files[m].nlink, 0, m2), old_ino = 0, size = 0, afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m ∈ files, datakey(m, m2 / VFS_PAGE_SIZE) ∈ pcache, asynced2 → synced(files, icache, pcache) ⊦ [afs_truncate_internal#(n, m2 / VFS_PAGE_SIZE; inode, buf-opt, old_ino, size, asynced0, err, dirs, files; asynced)] ( afs-cons(dirs, files) → ⟪asynced4 := asynced0; if err = ESUCCESS then let asynced = false in {icache_set#(inode, asynced; err, icache); pcache_truncate#(inode.ino, m2, n; err, pcache); if asynced4 then pcache_set#(inode.ino, m2 / VFS_PAGE_SIZE, buf-opt.buf, asynced; err, pcache)}; if ¬ asynced4 ∨ err ≠ ESUCCESS then buf-opt := none⟫ ( icache-cons(icache, dirs, files) ∧ dcache-cons(dcache, dirs, files) ∧ pcache-cons(pcache, dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache))))

Rule argument

Additional information

Used simplifier rules: ⊦ some(buf).buf = buf; (s)% ⊦ some(buf).some?; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).directory ↔ boolvar; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nsubdirs = m1; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nlink = m0; (s)% ⊦ valid-file-ino(ino, dirs, files) ↔ ino ∈ files; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%⊦ valid-file-inode(inode, dirs, files) ↔ valid-file-ino(inode.ino, dirs, files) ∧ inode.nlink = files[inode.ino].nlink ∧ inode.nsubdirs = 0 ∧ ¬ inode.directory; (s)%⊦ pre-truncate(inode, n, pageno, buf-opt, dirs, files) ↔ valid-file-inode(inode, dirs, files) ∧ pageno = inode.size / VFS_PAGE_SIZE ∧ (buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE); (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)