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Proof step 522 from proof inv-rename-overwrite-reparent (previous step)

m1 + 1 = fs[ri[inodekey(m)]].size, n0 + (boolvar3 ⊃ 1;0) = fs[ri[inodekey(m)]].nsubdirs, ¬ fs[ri[inodekey(fs[ri[dentrykey(m0, str0)]].ino)]].directory ↔ ¬ fs[ri[inodekey(m5)]].directory, fs[ri[dentrykey(m, str)]] = dentrynode(key, m5), adr6 = adr1, adr7 = adr2, adr8 = adr3, m10 = fs[ri[dentrykey(m0, str0)]].ino, m8 = fs[ri[inodekey(m)]].nlink, nd = inodenode(inodekey(new_dent.ino), md2, boolvar1, m11, m6, m7), nd0 = inodenode(inodekey(m0), md0, true, fs[ri[inodekey(m0)]].nlink, fs[ri[inodekey(m0)]].nsubdirs, fs[ri[inodekey(m0)]].size), nd1 = inodenode(inodekey(m), md, true, m8, n0, m1), nd2 = dentrynode(dentrykey(m0, new_dent.name), mkdentry(str, m5).ino), nd3 = dentrynode(dentrykey(m, str), 0), new_dent = mkdentry(str0, fs[ri[dentrykey(m0, str0)]].ino), mkdentry(str, m5).dentry?, new_dent.dentry?, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(m0)]].directory, fs[ri[inodekey(m0)]].inode?, fo.inodes?, ro.inodes?, file-node-cons(fs, ri), log-cons(log, fs), node-cons(nd.key, nd), node-cons(nd0.key, nd0), node-cons(nd1.key, nd1), node-cons(nd2.key, nd2), node-cons(nd3.key, nd3), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-cons(ri, fs), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log), ri[inodekey(m0)] ∈ fs, dentrykey(m, str) ∈ ri, inodekey(m5) ∈ ri, dentrykey(m0, str0) ∈ ri, inodekey(fs[ri[dentrykey(m0, str0)]].ino) ∈ ri, inodekey(m) ∈ ri, inodekey(m0) ∈ ri, ri[dentrykey(m, str)] ∈ fs, m11 = 0 → links(fs[ri[dentrykey(m0, str0)]].ino, fs, ri) = ∅ ++ dentrykey(m0, str0), fs[ri[inodekey(fs[ri[dentrykey(m0, str0)]].ino)]].directory → dentrykeys(inodekey(fs[ri[dentrykey(m0, str0)]].ino), ri) = ∅, ∀ adr1, adr2, adr3, adr4, adr5. ¬(new(adr1 ' + adr2 ' + adr3 ' + (adr4 ' + adr5), fs) ∧ ¬ dups(adr1 ' + adr2 ' + adr3 ' + adr4 ' + adr5 ')), fs[ri[inodekey(m0)]].trunc? ∨ fs[ri[inodekey(m0)]].inode?, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, fs[ri[inodekey(m0)]].nlink ≠ 0 ∨ m0 = ROOT_INO, ¬ fs[ri[inodekey(m5)]].directory ∧ ¬ boolvar3 ∧ m2 = fs[ri[inodekey(m5)]].nlink ∧ m3 = fs[ri[inodekey(m5)]].nsubdirs ∨ fs[ri[inodekey(m5)]].directory ∧ boolvar3 ∧ m2 = fs[ri[inodekey(m5)]].nlink ∧ m3 = fs[ri[inodekey(m5)]].nsubdirs ∧ m4 = fs[ri[inodekey(m5)]].size, ¬ fs[ri[inodekey(m5)]].directory ∧ ¬ boolvar1 ∧ m11 + 1 = fs[ri[inodekey(fs[ri[dentrykey(m0, str0)]].ino)]].nlink ∧ m6 = fs[ri[inodekey(fs[ri[dentrykey(m0, str0)]].ino)]].nsubdirs ∨ fs[ri[inodekey(fs[ri[dentrykey(m0, str0)]].ino)]].directory ∧ boolvar1 ∧ m11 + 1 = fs[ri[inodekey(fs[ri[dentrykey(m0, str0)]].ino)]].nlink ∧ m6 = fs[ri[inodekey(fs[ri[dentrykey(m0, str0)]].ino)]].nsubdirs ∧ m7 = fs[ri[inodekey(fs[ri[dentrykey(m0, str0)]].ino)]].size ⊦ ⟪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)), fs[ri[dentrykey(m0, str0)]].ino = ROOT_INO, m0 = m, inodekey(m) ∈ ro, inodekey(m0) ∈ ro

Heuristic symbolic execution applied rule skip right

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ mkdentry(str, m).ino = m; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).key = key; (s)%⊦ node-cons(key0, inodenode(key1, md, boolvar, n, n0, m)) ↔ key0.inode? ∧ key0.ino ≠ 0; (s)% ⊦ inodekey(m).inode?; (s)% ⊦ inodekey(m).ino = m; (s)% ⊦ mkdentry(str, m).name = str; (s)% ⊦ dentrynode(key, m).key = key; (s)% ⊦ node-cons(key0, dentrynode(key1, ino)) ↔ key0.dentry?; (s)% ⊦ dentrykey(m, str).dentry?; (s)% ⊦ mkdentry(str, m).dentry?; (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)