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Proof step 240 from proof inv-truncate (previous step)

# buf-opt.buf = VFS_PAGE_SIZE, boolvar0 ↔ boolvar, fs[ri[inodekey(m0)]].nlink = 0 ∧ m0 ≠ ROOT_INO ↔ inodekey(m0) ∈ ro, VFS_PAGE_SIZE = n0 + m4 % VFS_PAGE_SIZE, adr4 = adr1, err = ENOSPC, inode = mkinode(m0, md, false, fs[ri[inodekey(m0)]].nlink, fs[ri[inodekey(m0)]].nsubdirs, m4), nd = datanode(datakey(m0, m4 / VFS_PAGE_SIZE), fill(datanode(datakey(m0, m4 / VFS_PAGE_SIZE), buf-opt.buf).data, zero, m4 % VFS_PAGE_SIZE, n0)), nd0 = inodenode(inodekey(m0), md, false, fs[ri[inodekey(m0)]].nlink, fs[ri[inodekey(m0)]].nsubdirs, n), nd1 = truncnode(inodekey(m0), m4), datanode(datakey(m0, m4 / VFS_PAGE_SIZE), buf-opt.buf).data?, fs[ri[inodekey(m0)]].inode?, fo.inodes?, ro.inodes?, buf-opt.some?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(m0) ∈ ri, ri[inodekey(m0)] ∈ fs, m4 ≤ n, m4 % VFS_PAGE_SIZE + n0 ≤ # datanode(datakey(m0, m4 / VFS_PAGE_SIZE), buf-opt.buf).data, ∀ adr1, adr2, adr3. ¬(new(adr1 ' + (adr2 ' + adr3), fs) ∧ ¬ dups(adr1 ' + adr2 ' + adr3 ')) ⊦ ⟪skip⟫ (ubifs-cons(fs, ri, ro, fi, fo, log) ∧ replay-cons-strong(fs, ri, ro, fi, fo, log) ∧ file-node-cons(fs, ri) ∧ orphans-cons(fs, ri, ro)), m4 % VFS_PAGE_SIZE = 0, VFS_PAGE_SIZE = 0, fs[ri[inodekey(m0)]].directory

Heuristic symbolic execution applied rule skip right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ VFS_PAGE_SIZE ≠ 0; (s)% ⊦ datanode(key, buf).data = buf; (s)% ⊦ datanode(key, buf).data?; (s)% ⊦ ax + adr = ax + adr '; (s)%a: ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1; from specification list[address-list-set]% ⊦ new(adr ' + log, fs) ↔ ¬ adr ∈ fs ∧ new(log, fs); (s)% ⊦ new(adr ', fs) ↔ ¬ adr ∈ fs; (s)% ⊦ dups(adr ' + ax) ↔ adr ∈ ax ∨ dups(ax); (s)% ⊦ adr ∈ adr0 ' + ax ↔ adr = adr0 ∨ adr ∈ ax; (s)% ⊦ adr ∈ adr0 ' ↔ adr = adr0; (s)% ⊦ dups(adr ' + adr0 ') ↔ adr = adr0; (s)