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Proof step 815 from proof refine-truncate (previous step)

boolvar1 ↔ boolvar2, boolvar4 ↔ boolvar, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, fs[ri[inodekey(m)]] = inodenode(key, md0, false, m3, 0, m5), fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]] = datanode(key0, buf), buf-opt = buf-opt0, dirs = abs-dirs(fs, ri), err2 = err0, files = abs-files(fs, ri), inode = mkinode(m1, md, false, m3, 0, m2), m1 = m, nd2 = fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]], p_inode = mkinode(m, md, false, m3, 0, m2), ro0 = orphans(fs, ri), nd2.data?, key0.data?, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), orphans-cons(fs, ri, ro0), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), replay-cons-strong(fs, ri, ro0, fi, fo, log), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), ubifs-cons(fs, ri, ro0, fi, fo, log), datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, ri[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs, inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs, m2 % VFS_PAGE_SIZE + n0 ≤ # nd2.data, m2 ≤ n, ⌊err0⌋ , asynced → boolvar0 ⊦ ⟨afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, p_inode, boolvar2, err1, dirs, files, asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro0) ∧ (asynced → boolvar4) ∧ buf-opt = buf-opt0 ∧ inode = p_inode ∧ (boolvar1 ↔ boolvar2) ∧ err2 = err1), m2 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, m = 0, buf-opt0.some?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 816:
boolvar1 ↔ boolvar2, VFS_PAGE_SIZE = n0 + m2 % VFS_PAGE_SIZE, fs[ri[inodekey(m)]] = inodenode(key, md0, false, m3, 0, m5), fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]] = datanode(key0, buf), buf-opt = buf-opt0, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), p_inode = mkinode(m, md, false, m3, 0, m2), m2 % VFS_PAGE_SIZE ≠ 0, m ≠ 0, key0.data?, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-cons(ri, fs), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, ri[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs, inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs, m2 ≤ n, ⌊err0⌋ , ¬ buf-opt0.some?, asynced → boolvar0 ⊦ ⟨afs_truncate#(n, m2 / VFS_PAGE_SIZE; buf-opt0, p_inode, boolvar2, err1, dirs, files, asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (asynced → boolvar4) ∧ buf-opt = buf-opt0 ∧ mkinode(m, md, false, m3, 0, m2) = p_inode ∧ (boolvar1 ↔ boolvar2) ∧ err0 = err1)

Rule argument

Additional information

Used simplifier rules: ⊦ datanode(key, buf).data?; (s)% ⊦ m ≤ m; (s)%c: ⊦ m + n = n + m; from specification nat-basic%⊦ abs-keys(orphans(fs0, ri0)) = abs-keys(orphans(fs, ri)) ↔ orphans(fs0, ri0) = orphans(fs, ri); (s)%⊦ afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)) → orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(orphans(fs, ri)); (s)%⊦ datakey(m, n) ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → # fs[ri[datakey(m, n)]].data = VFS_PAGE_SIZE; (s)% ⊦ VFS_PAGE_SIZE ≠ 0; (s)