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Proof step 32 from proof inv-truncate-buff-none-uncached (previous step)

asynced ↔ asynced5, asynced0 ↔ asynced6, asynced1 ↔ false, files[m] = mkfile(m1, md1, # links(m, dirs), content0), ¬ asynced5, ¬ asynced6, buf-opt = none, err = ESUCCESS, ino = m, inode = mkinode(m, md, false, # links(m, dirs), 0, m2), key = datakey(ino, pageno0), pageno = m2 / VFS_PAGE_SIZE, pageno0 = m2 / VFS_PAGE_SIZE, 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, asynced2 → synced(files, icache, pcache) ⊦ ⟪afs_truncate#(n, pageno; buf-opt, inode, asynced4, err, dirs, files, asynced3); 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, pageno, 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) ∧ afs-cons(dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache))), VFS_PAGE_SIZE = 0, key ∈ pcache, datakey(m, m2 / VFS_PAGE_SIZE) ∈ pcache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
files[m] = mkfile(m1, md1, # links(m, dirs), content0), buf-opt = none, err = ESUCCESS, inode = mkinode(m, md, false, # links(m, dirs), 0, m2), 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#(n, m2 / VFS_PAGE_SIZE; buf-opt, inode, asynced4, err, dirs, files, asynced3); 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) ∧ afs-cons(dirs, files) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files, icache, pcache)))

Rule argument

Additional information

Used simplifier rules: ⊦ VFS_PAGE_SIZE ≠ 0; (s)