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Proof step 50 from proof truncate-term (previous step)

files[m] = mkfile(m1, md1, # links(m, dirs), content0), content = files[inode.ino].content, ino = inode.ino, inode = mkinode(m, md, false, # links(m, dirs), 0, m2), old_ino = min(n, inode.size), old_ino0 = inode.size % VFS_PAGE_SIZE, old_ino1 = 0, old_ino2 = 0, pageno = m2 / VFS_PAGE_SIZE, afs-cons(dirs, files), m ∈ files, pageno ∈ files[ino].content, old_ino0 + (VFS_PAGE_SIZE - old_ino0) ≤ # files[ino].content[pageno], inode.size ≤ n, VFS_PAGE_SIZE ≥ old_ino0, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE, buf-opt = none ∨ # buf-opt.buf = VFS_PAGE_SIZE, pageno ∈ content ∨ buf-opt.some? ⊦ ⟪content[pageno] := fill(files[ino].content[pageno], zero, old_ino0, VFS_PAGE_SIZE - old_ino0); buf-opt := some(fill(files[ino].content[pageno], zero, old_ino0, VFS_PAGE_SIZE - old_ino0)); files[ino].content := content upto old_ino; let new_inode = inode in {new_inode.size := n; afs_inode_sync#(new_inode; dirs, files)}; inode := getinode(inode.ino, dirs, files); err := ESUCCESS; asynced := ?⟫ true, VFS_PAGE_SIZE = 0, old_ino0 = 0, buf-opt.some?

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 51:
files[m] = mkfile(m1, md1, # links(m, dirs), content0), content = files[inode.ino].content, ino = inode.ino, inode = mkinode(m, md, false, # links(m, dirs), 0, m2), old_ino = min(n, inode.size), old_ino0 = inode.size % VFS_PAGE_SIZE, old_ino1 = 0, old_ino2 = 0, pageno = m2 / VFS_PAGE_SIZE, afs-cons(dirs, files), pageno ∈ files[ino].content, m ∈ files, inode.size ≤ n, old_ino0 + (VFS_PAGE_SIZE - old_ino0) ≤ # files[ino].content[pageno], VFS_PAGE_SIZE ≥ old_ino0, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE, pageno ∈ content ∨ buf-opt.some?, buf-opt = none ∨ # buf-opt.buf = VFS_PAGE_SIZE ⊦ ⟪buf-opt := some(fill(files[ino].content[pageno], zero, old_ino0, VFS_PAGE_SIZE - old_ino0)); files0 := files[ino, files[ino].content:= (content[pageno, fill(files[ino].content[pageno], zero, old_ino0, VFS_PAGE_SIZE - old_ino0)] upto old_ino)]; let new_inode = inode in {new_inode.size := n; afs_inode_sync#(new_inode; dirs, files0)}; inode := getinode(inode.ino, dirs, files0); err := ESUCCESS; asynced := ?⟫ true, VFS_PAGE_SIZE = 0, old_ino0 = 0, buf-opt.some?

Rule argument

Additional information

Used simplifier rules: ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)%n ≠ 0 ⊦ m % n ≤ n; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).ino = m; (s)%n ≤ m ⊦ (m - n) + m0 ≤ n0 ↔ m + m0 ≤ n0 + n; (s)% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic