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Proof step 121 from proof inv-rename-overwrite-keep-parent (previous step)

fs0[ri0[dentrykey(m1, str1)]] = dentrynode(key, m7), fs0[ri0[dentrykey(m, str0)]] = dentrynode(key4, m1), fs0[ri0[dentrykey(m, str)]] = dentrynode(key0, m2), fs0[ri0[inodekey(m2)]] = inodenode(key1, md0, true, m5, m9, m10), fs0[ri0[inodekey(m1)]] = inodenode(key3, md3, true, 1, m11, m12), links(m1, fs0, ri0) = ∅ ++ dentrykey(m, str0), fo.inodes?, ro.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(fi), ri-inj(ri0), ubifs-cons(fs0, ri0, ro, fi, fo, log0), ri0[dentrykey(m1, str1)] ∈ fs0, dentrykey(m, str) ∈ ri0, inodekey(m2) ∈ ri0, dentrykey(m, str0) ∈ ri0, inodekey(m1) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, ri0[inodekey(m2)] ∈ fs0, inodekey(m) ∈ ri0, ri0[dentrykey(m, str0)] ∈ fs0, ri0[inodekey(m1)] ∈ fs0, ri0[inodekey(m)] ∈ fs0, dentrykey(m1, str1) ∈ ri0, inodekey(m7) ∈ ri0, ∀ key. key ∈ dentrykeys(inodekey(m1), ri0) ↔ key ∈ ∅, dentrykey(m, str) = dentrykey(m, str0) ∨ dentrykey(m1, str1) ≠ dentrykey(m, str), m4 ≠ 0 ∨ m = ROOT_INO ⊦ adr1 = adr4, adr1 = adr3, adr1 = adr2, adr2 = adr4, adr2 = adr3, adr3 = adr4, m = 0, m1 = 0, m1 = ROOT_INO, mkdentry(str, m2) = mkdentry(str0, m1), adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2], inodekey(m) ∈ ro, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr4 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m, str), adr4 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2][inodekey(m), adr3], inodekey(m7) ∈ ro, inodekey(m1) ∈ ro

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 122:
fs0[ri0[inodekey(m1)]] = inodenode(key3, md3, true, 1, m11, m12), fs0[ri0[inodekey(m2)]] = inodenode(key1, md0, true, m5, m9, m10), fs0[ri0[dentrykey(m, str)]] = dentrynode(key0, m2), fs0[ri0[dentrykey(m, str0)]] = dentrynode(key4, m1), fs0[ri0[dentrykey(m1, str1)]] = dentrynode(key, m7), links(m1, fs0, ri0) = ∅ ++ dentrykey(m, str0), 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), inodekey(m7) ∈ ri0, dentrykey(m1, str1) ∈ ri0, ri0[inodekey(m)] ∈ fs0, ri0[inodekey(m1)] ∈ fs0, ri0[dentrykey(m, str0)] ∈ fs0, inodekey(m) ∈ ri0, ri0[inodekey(m2)] ∈ fs0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m1) ∈ ri0, dentrykey(m, str0) ∈ ri0, inodekey(m2) ∈ ri0, dentrykey(m, str) ∈ ri0, ri0[dentrykey(m1, str1)] ∈ fs0, ∀ key2. ¬ key2 ∈ ri0 ∨ ¬ key2.dentry? ∨ key2.ino ≠ m1, m4 ≠ 0 ∨ m = ROOT_INO, dentrykey(m, str) = dentrykey(m, str0) ∨ dentrykey(m1, str1) ≠ dentrykey(m, str) ⊦ adr1 = adr2, adr1 = adr3, adr1 = adr4, adr2 = adr3, adr2 = adr4, adr3 = adr4, m = 0, m1 = ROOT_INO, m1 = 0, mkdentry(str, m2) = mkdentry(str0, m1), inodekey(m1) ∈ ro, inodekey(m7) ∈ ro, adr4 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2][inodekey(m), adr3], adr2 ∈ ri0 -- dentrykey(m, str), adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m) ∈ ro, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2]

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ key ∈ ∅; (s)% ⊦ inodekey(m).ino = m; (s)% ⊦ inodekey(m).inode?; (s)%⊦ key ∈ dentrykeys(key0, ri) ↔ key ∈ ri ∧ key.dentry? ∧ key0.inode? ∧ key.ino = key0.ino; (s)