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Proof step 768 from proof refine-truncate (previous step)

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), fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].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), node-cons ((fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(buf, zero, m2 % VFS_PAGE_SIZE, n0)).key, fs[ri[datakey(m, m2 / VFS_PAGE_SIZE)]].data:= fill(buf, zero, m2 % VFS_PAGE_SIZE, n0)), 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), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs, ri[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, m2 ≤ n, asynced → boolvar0, ∀ adr, adr0, adr1. adr ∈ fs ∨ adr0 ∈ fs ∨ adr1 ∈ fs ∨ adr = adr0 ∨ adr = adr1 ∨ adr0 = adr1 ⊦ ⟨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) ∧ ENOSPC = err1), m2 % VFS_PAGE_SIZE = 0, m = 0, buf-opt0.some?

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 769:
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), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs, ri[datakey(m, m2 / VFS_PAGE_SIZE)] ∈ fs, datakey(m, m2 / VFS_PAGE_SIZE) ∈ ri, m2 ≤ n, ¬ buf-opt0.some?, asynced → boolvar0, ∀ adr, adr0, adr1. adr ∈ fs ∨ adr0 ∈ fs ∨ adr1 ∈ fs ∨ adr = adr0 ∨ adr = adr1 ∨ adr0 = adr1 ⊦ ⟨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) ∧ ENOSPC = err1)

Rule argument

Additional information

Used simplifier rules: ⊦ node-cons(key0, datanode(key1, buf)) ↔ key0.data?; (s)% ⊦ datanode(key, buf).key = key; (s)% ⊦ datanode(key, buf).data:= buf0 = datanode(key, buf0); (s)% ⊦ datanode(key, buf).data?; (s)