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Proof step 513 from proof inv-rename-overwrite-reparent (previous step)

n0 + (boolvar3 ⊃ 1;0) = fs0[ri0[inodekey(m)]].nsubdirs, m1 + 1 = fs0[ri0[inodekey(m)]].size, ¬ fs0[ri0[inodekey(m8)]].directory ↔ ¬ fs0[ri0[inodekey(m5)]].directory, fs0[ri0[dentrykey(m, str)]] = dentrynode(key1, m5), fs0[ri0[inodekey(m0)]] = inodenode(key0, md1, true, m9, m12, m13), fs0[ri0[dentrykey(m0, str0)]] = dentrynode(key, m8), fs0[ri0[dentrykey(m0, str0)]].dentry?, fs0[ri0[inodekey(m)]].directory, fs0[ri0[inodekey(m)]].inode?, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri0), log-cons(log0, fs0), orphans-cons(fs0, ri0, ro), replay-cons-strong(fs0, ri0, ro, fi, fo, log0), ri-cons(ri0, fs0), ri-inj(ri0), ri-inj(fi), ubifs-cons(fs0, ri0, ro, fi, fo, log0), adr2 ∈ ri0 -- dentrykey(m, str), ri0[inodekey(m)] ∈ fs0, ri0[dentrykey(m0, str0)] ∈ fs0, inodekey(m0) ∈ ri0, inodekey(m) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m8) ∈ ri0, dentrykey(m0, str0) ∈ ri0, inodekey(m5) ∈ ri0, dentrykey(m, str) ∈ ri0, ri0[inodekey(m0)] ∈ fs0, fs0[ri0[inodekey(m8)]].directory → dentrykeys(inodekey(m8), ri0) = ∅, m11 = 0 → links(m8, fs0, ri0) = ∅ ++ dentrykey(m0, str0), ¬ fs0[ri0[inodekey(m5)]].directory ∧ ¬ boolvar1 ∧ m11 + 1 = fs0[ri0[inodekey(m8)]].nlink ∧ m6 = fs0[ri0[inodekey(m8)]].nsubdirs ∨ fs0[ri0[inodekey(m8)]].directory ∧ boolvar1 ∧ m11 + 1 = fs0[ri0[inodekey(m8)]].nlink ∧ m6 = fs0[ri0[inodekey(m8)]].nsubdirs ∧ m7 = fs0[ri0[inodekey(m8)]].size, ¬ fs0[ri0[inodekey(m5)]].directory ∧ ¬ boolvar3 ∧ m2 = fs0[ri0[inodekey(m5)]].nlink ∧ m3 = fs0[ri0[inodekey(m5)]].nsubdirs ∨ fs0[ri0[inodekey(m5)]].directory ∧ boolvar3 ∧ m2 = fs0[ri0[inodekey(m5)]].nlink ∧ m3 = fs0[ri0[inodekey(m5)]].nsubdirs ∧ m4 = fs0[ri0[inodekey(m5)]].size, m9 ≠ 0 ∨ m0 = ROOT_INO, fs0[ri0[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ adr1 = adr2, adr1 = adr3, adr1 = adr4, adr1 = adr5, adr2 = adr3, adr2 = adr4, adr2 = adr5, adr3 = adr4, adr3 = adr5, adr4 = adr5, m = 0, m0 = m, m0 = 0, m8 = ROOT_INO, m8 = 0, adr5 ∈ fs0, adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m) ∈ ro, inodekey(m0) ∈ ro

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 514:
n0 + (boolvar3 ⊃ 1;0) = fs0[ri0[inodekey(m)]].nsubdirs, m1 + 1 = fs0[ri0[inodekey(m)]].size, ¬ fs0[ri0[inodekey(m8)]].directory ↔ ¬ fs0[ri0[inodekey(m5)]].directory, fs0[ri0[dentrykey(m, str)]] = dentrynode(key1, m5), fs0[ri0[inodekey(m0)]] = inodenode(key0, md1, true, m9, m12, m13), fs0[ri0[dentrykey(m0, str0)]] = dentrynode(key, m8), fs0[ri0[inodekey(m)]].directory, fs0[ri0[inodekey(m)]].inode?, ro.inodes?, fo.inodes?, file-node-cons(fs0, ri0), log-cons(log0, fs0), orphans-cons(fs0, ri0, ro), replay-cons-strong(fs0, ri0, ro, fi, fo, log0), ri-cons(ri0, fs0), ri-inj(ri0), ri-inj(fi), ubifs-cons(fs0, ri0, ro, fi, fo, log0), adr2 ∈ ri0 -- dentrykey(m, str), ri0[inodekey(m)] ∈ fs0, ri0[dentrykey(m0, str0)] ∈ fs0, inodekey(m0) ∈ ri0, inodekey(m) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m8) ∈ ri0, dentrykey(m0, str0) ∈ ri0, inodekey(m5) ∈ ri0, dentrykey(m, str) ∈ ri0, ri0[inodekey(m0)] ∈ fs0, fs0[ri0[inodekey(m8)]].directory → dentrykeys(inodekey(m8), ri0) = ∅, m11 = 0 → links(m8, fs0, ri0) = ∅ ++ dentrykey(m0, str0), ¬ fs0[ri0[inodekey(m5)]].directory ∧ ¬ boolvar1 ∧ m11 + 1 = fs0[ri0[inodekey(m8)]].nlink ∧ m6 = fs0[ri0[inodekey(m8)]].nsubdirs ∨ fs0[ri0[inodekey(m8)]].directory ∧ boolvar1 ∧ m11 + 1 = fs0[ri0[inodekey(m8)]].nlink ∧ m6 = fs0[ri0[inodekey(m8)]].nsubdirs ∧ m7 = fs0[ri0[inodekey(m8)]].size, ¬ fs0[ri0[inodekey(m5)]].directory ∧ ¬ boolvar3 ∧ m2 = fs0[ri0[inodekey(m5)]].nlink ∧ m3 = fs0[ri0[inodekey(m5)]].nsubdirs ∨ fs0[ri0[inodekey(m5)]].directory ∧ boolvar3 ∧ m2 = fs0[ri0[inodekey(m5)]].nlink ∧ m3 = fs0[ri0[inodekey(m5)]].nsubdirs ∧ m4 = fs0[ri0[inodekey(m5)]].size, m9 ≠ 0 ∨ m0 = ROOT_INO, fs0[ri0[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ adr1 = adr2, adr1 = adr3, adr1 = adr4, adr1 = adr5, adr2 = adr3, adr2 = adr4, adr2 = adr5, adr3 = adr4, adr3 = adr5, adr4 = adr5, m = 0, m0 = m, m0 = 0, m8 = ROOT_INO, m8 = 0, adr5 ∈ fs0, adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m) ∈ ro, inodekey(m0) ∈ ro

Rule argument

Additional information

Used simplifier rules: ⊦ dentrynode(key, m).dentry?; (s)