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Proof step 61 from proof inv-truncate-buff-none-uncached (previous step)

files[m] = mkfile(m1, md1, # links(m, dirs), content0), files0 = files [m, mkfile (m1, md1, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, VFS_PAGE_SIZE - m2 % VFS_PAGE_SIZE)] upto m2) ], inode = mkinode(m, md, false, # links(m, dirs), 0, m2), inode = mkinode(m0, md0, boolvar, m3, m4, m5), afs-cons(dirs, files), dcache-cons(dcache, dirs, files), icache-cons(icache, dirs, files), pcache-cons(pcache, dirs, files), synced(dirs, icache, pcache), m2 / VFS_PAGE_SIZE ∈ content0, m ∈ files, m2 ≤ n, asynced2 → synced(files, icache, pcache) ⊦ [afs_inode_sync#(mkinode(m, md, false, # links(m, dirs), 0, n); dirs, files0); inode0 := (m0 ∈ dirs ⊃ mkinode(m0, dirs[m0].meta, true, dirs[m0].nlink, dirs[m0].nsubdirs, dirs[m0].size) ;mkinode(m0, files0[m0].meta, false, files0[m0].nlink, 0, files0[m0].size) ); err := ESUCCESS; asynced := ?] ( afs-cons(dirs, files0) → ⟪asynced4 := true; if err = ESUCCESS then let asynced = false in {icache_set#(inode0, asynced; err, icache); pcache_truncate#(inode0.ino, m2, n; err, pcache); if asynced4 then pcache_set# (inode0.ino, m2 / VFS_PAGE_SIZE, some(fill(files[m].content[m2 / VFS_PAGE_SIZE], zero, m5 % VFS_PAGE_SIZE, VFS_PAGE_SIZE - m5 % VFS_PAGE_SIZE)).buf, asynced ; err, pcache)}; if ¬ asynced4 ∨ err ≠ ESUCCESS then buf-opt := none⟫ ( icache-cons(icache, dirs, files0) ∧ dcache-cons(dcache, dirs, files0) ∧ pcache-cons(pcache, dirs, files0) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files0, icache, pcache)))), m2 % VFS_PAGE_SIZE = 0, datakey(m, m2 / VFS_PAGE_SIZE) ∈ pcache

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 62:
files[m] = mkfile(m1, md1, # links(m, dirs), content0), files0 = files [m, mkfile (m1, md1, # links(m, dirs), content0[m2 / VFS_PAGE_SIZE, fill(content0[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, VFS_PAGE_SIZE - m2 % VFS_PAGE_SIZE)] upto m2) ], m2 % VFS_PAGE_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), m2 / VFS_PAGE_SIZE ∈ content0, m ∈ files, m2 ≤ n, ¬ datakey(m, m2 / VFS_PAGE_SIZE) ∈ pcache, asynced2 → synced(files, icache, pcache) ⊦ [afs_inode_sync#(mkinode(m, md, false, # links(m, dirs), 0, n); dirs, files0); inode0 := (m ∈ dirs ⊃ mkinode(m, dirs[m].meta, true, dirs[m].nlink, dirs[m].nsubdirs, dirs[m].size) ;mkinode(m, files0[m].meta, false, files0[m].nlink, 0, files0[m].size) ); err := ESUCCESS; asynced := ?] ( afs-cons(dirs, files0) → ⟪asynced4 := true; if err = ESUCCESS then let asynced = false in {icache_set#(inode0, asynced; err, icache); pcache_truncate#(inode0.ino, m2, n; err, pcache); if asynced4 then pcache_set# (inode0.ino, m2 / VFS_PAGE_SIZE, some(fill(files[m].content[m2 / VFS_PAGE_SIZE], zero, m2 % VFS_PAGE_SIZE, VFS_PAGE_SIZE - m2 % VFS_PAGE_SIZE)).buf, asynced ; err, pcache)}; if ¬ asynced4 ∨ err ≠ ESUCCESS then buf-opt := none⟫ ( icache-cons(icache, dirs, files0) ∧ dcache-cons(dcache, dirs, files0) ∧ pcache-cons(pcache, dirs, files0) ∧ synced(dirs, icache, pcache) ∧ (asynced2 → synced(files0, icache, pcache))))

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2) = mkinode(m3, md0, boolvar0, m4, m5, m6) ↔ m = m3 ∧ md = md0 ∧ (boolvar ↔ boolvar0) ∧ m0 = m4 ∧ m1 = m5 ∧ m2 = m6; (ws)