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Proof step 131 from proof inv-rename-overwrite-reparent (previous step)

1 = fs0[ri0[inodekey(m8)]].nlink, fs0[ri0[inodekey(ino)]] = inodenode(key0, md1, true, m9, m12, m13), fs0[ri0[dentrykey(m, str)]] = dentrynode(key1, m8), fs0[ri0[dentrykey(ino, str1)]] = dentrynode(key3, m8), fo.inodes?, ro.inodes?, file-node-cons(fs0, ri0), log-cons(log0, fs0), 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[inodekey(ino)] ∈ fs0, dentrykey(m, str) ∈ ri0, inodekey(m8) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m) ∈ ri0, inodekey(ino) ∈ ri0, ri0[dentrykey(ino, str1)] ∈ fs0, ri0[inodekey(m)] ∈ fs0, dentrykey(ino, str1) ∈ ri0, fs0[ri0[inodekey(m8)]].directory → dentrykeys(inodekey(m8), ri0) = ∅, ∀ key. key ∈ ri0 ∧ key.dentry? ∧ fs0[ri0[key]].ino = m8 ↔ key = dentrykey(ino, str1), ¬ fs0[ri0[inodekey(m8)]].directory ∧ ¬ boolvar1 ∨ fs0[ri0[inodekey(m8)]].directory ∧ boolvar1 ∧ m7 = fs0[ri0[inodekey(m8)]].size, m10 ≠ 0 ∨ m = ROOT_INO, m9 ≠ 0 ∨ ino = ROOT_INO, ¬ fs0[ri0[inodekey(m8)]].directory ∧ ¬ boolvar3 ∨ fs0[ri0[inodekey(m8)]].directory ∧ boolvar3 ∧ m4 = fs0[ri0[inodekey(m8)]].size ⊦ adr1 = adr5, adr1 = adr4, adr1 = adr3, adr1 = adr2, adr2 = adr5, adr2 = adr4, adr2 = adr3, adr3 = adr5, adr3 = adr4, adr4 = adr5, dentrykey(m, str) = dentrykey(ino, str1), ino = 0, ino = m, m = 0, m8 = 0, m8 = ROOT_INO, inodekey(m8) ∈ ro, adr5 ∈ (ri0 -- dentrykey(m, str))[dentrykey(ino, str1), adr2][inodekey(m), adr3][inodekey(ino), adr4], adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(ino, str1), adr2], inodekey(ino) ∈ ro, inodekey(m) ∈ ro, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr4 ∈ fs0, adr5 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m, str), adr4 ∈ (ri0 -- dentrykey(m, str))[dentrykey(ino, str1), adr2][inodekey(m), adr3]

User applied rule all left

And closed the goal!

Rule argument

pos: left 24 terms: dentrykey(m, str) abort: F discard: T computed: T

Additional information

Used simplifier rules: ⊦ dentrykey(m, str).dentry?; (s)% ⊦ dentrynode(key, m).ino = m; (s) Used terms: dentrykey(m, str)