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Proof step 163 from proof inv-rename-new-keep-parent (previous step)

fs0[ri0[inodekey(ino)]].nlink = 0 ↔ inodekey(ino) ∈ ro, fs0[ri0[inodekey(m)]] = inodenode(key1, md0, true, m4, m5, m6), fs0[ri0[dentrykey(m, str)]] = dentrynode(key0, m0), 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-inj(fi), ri-inj(ri0), ubifs-cons(fs0, ri0, ro, fi, fo, log0), dentrykey(m, str) ∈ ri0, inodekey(m0) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(ino) ∈ ri0, 1 ≤ m6, boolvar2 → 1 ≤ m5, m4 ≠ 0 ∨ m = ROOT_INO, ¬ fs0[ri0[inodekey(m0)]].directory ∧ ¬ boolvar2 ∨ fs0[ri0[inodekey(m0)]].directory ∧ boolvar2 ∧ m3 = fs0[ri0[inodekey(m0)]].size ⊦ (adr3 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m), md, true, m4, m5, m6) ;(adr2 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str0), m0) ;(adr1 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str), 0);fs0[ri0[inodekey(ino)]]) ) ) .nlink = 0 ↔ inodekey(ino) ∈ ro, adr1 = adr3, adr1 = adr2, adr2 = adr3, ino = ROOT_INO, m = ino, m = 0, m6 = 0, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2], inodekey(m) ∈ ro, dentrykey(m, str0) ∈ ri0, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m, str)

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 164:
fs0[ri0[inodekey(ino)]].nlink = 0 ↔ inodekey(ino) ∈ ro, fs0[ri0[dentrykey(m, str)]] = dentrynode(key0, m0), fs0[ri0[inodekey(m)]] = inodenode(key1, md0, true, m4, m5, m6), 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-inj(ri0), ri-inj(fi), ubifs-cons(fs0, ri0, ro, fi, fo, log0), inodekey(ino) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m0) ∈ ri0, dentrykey(m, str) ∈ ri0, 1 ≤ m6, boolvar2 → 1 ≤ m5, ¬ fs0[ri0[inodekey(m0)]].directory ∧ ¬ boolvar2 ∨ fs0[ri0[inodekey(m0)]].directory ∧ boolvar2 ∧ m3 = fs0[ri0[inodekey(m0)]].size, m4 ≠ 0 ∨ m = ROOT_INO ⊦ (adr3 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m), md, true, m4, m5, m6) ;(adr2 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str0), m0) ;(adr1 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str), 0);fs0[ri0[inodekey(ino)]]) ) ) .nlink = 0 ↔ inodekey(ino) ∈ ro, adr1 = adr2, adr1 = adr3, adr2 = adr3, adr3 = ri0[inodekey(ino)], ino = ROOT_INO, m = 0, m = ino, m6 = 0, adr2 ∈ ri0 -- dentrykey(m, str), adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, dentrykey(m, str0) ∈ ri0, inodekey(m) ∈ ro, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2]

Rule argument

fma: adr3 = ri0[inodekey(ino)]

Additional information

Used simplifier rules: ⊦ ¬ adr ∈ fs → fs[adr] = (∅)[adr]; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).nlink = m; (s)% ⊦ key ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → ri[key] ∈ fs; (ss) Used formulas: adr3 = ri0[inodekey(ino)]