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Proof step 197 from proof inv-rename-new-reparent (previous step)

fs0[ri0[inodekey(ino)]].nlink = 0 ↔ inodekey(ino) ∈ ro, fs0[ri0[inodekey(m0)]] = inodenode(key2, md3, true, m6, m7, m8), fs0[ri0[inodekey(m3)]] = inodenode(key0, md1, boolvar0, m5, m9, m10), fs0[ri0[dentrykey(m, str)]] = dentrynode(key1, m3), 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), ri0[inodekey(m)] ∈ fs0, ri0[inodekey(m0)] ∈ fs0, inodekey(m) ∈ ri0, ri0[inodekey(m3)] ∈ fs0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m0) ∈ ri0, inodekey(m3) ∈ ri0, dentrykey(m, str) ∈ ri0, inodekey(ino) ∈ ri0, ¬ boolvar0 ∧ ¬ boolvar2 ∨ boolvar0 ∧ boolvar2 ∧ m4 = m10, m6 ≠ 0 ∨ m0 = ROOT_INO, m2 ≠ 0 ∨ m = ROOT_INO ⊦ (adr4 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m0), md0, true, m6, m7 + (boolvar2 ⊃ 1;0), m8 + 1) ;(adr3 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m), md, true, m2, n0, m1) ;(adr2 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m0, str0), m3) ;(adr1 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str), 0);fs0[ri0[inodekey(ino)]]) ) ) ) .nlink = 0 ↔ inodekey(ino) ∈ ro, adr1 = adr2, adr1 = adr3, adr1 = adr4, adr2 = adr3, adr2 = adr4, adr3 = adr4, ino = ROOT_INO, m = ino, m = 0, m0 = ino, m0 = 0, m0 = m, adr4 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2][inodekey(m), adr3], adr2 ∈ ri0 -- dentrykey(m, str), adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m0) ∈ ro, dentrykey(m0, str0) ∈ ri0, inodekey(m) ∈ ro, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2]

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 198:
fs0[ri0[inodekey(ino)]].nlink = 0 ↔ inodekey(ino) ∈ ro, fs0[ri0[dentrykey(m, str)]] = dentrynode(key1, m3), fs0[ri0[inodekey(m3)]] = inodenode(key0, md1, boolvar0, m5, m9, m10), fs0[ri0[inodekey(m0)]] = inodenode(key2, md3, true, m6, m7, m8), 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), inodekey(ino) ∈ ri0, dentrykey(m, str) ∈ ri0, inodekey(m3) ∈ ri0, inodekey(m0) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, ri0[inodekey(m3)] ∈ fs0, inodekey(m) ∈ ri0, ri0[inodekey(m0)] ∈ fs0, ri0[inodekey(m)] ∈ fs0, m2 ≠ 0 ∨ m = ROOT_INO, m6 ≠ 0 ∨ m0 = ROOT_INO, ¬ boolvar0 ∧ ¬ boolvar2 ∨ boolvar0 ∧ boolvar2 ∧ m4 = m10 ⊦ (adr4 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m0), md0, true, m6, m7 + (boolvar2 ⊃ 1;0), m8 + 1) ;(adr3 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m), md, true, m2, n0, m1) ;(adr2 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m0, str0), m3) ;(adr1 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str), 0);fs0[ri0[inodekey(ino)]]) ) ) ) .nlink = 0 ↔ inodekey(ino) ∈ ro, adr1 = adr4, adr1 = adr3, adr1 = adr2, adr2 = adr4, adr2 = adr3, adr3 = adr4, adr4 = ri0[inodekey(ino)], ino = ROOT_INO, m = 0, m = ino, m0 = m, m0 = 0, m0 = ino, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2], inodekey(m) ∈ ro, dentrykey(m0, str0) ∈ ri0, inodekey(m0) ∈ ro, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr4 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m, str), adr4 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2][inodekey(m), adr3]

Rule argument

fma: adr4 = 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: adr4 = ri0[inodekey(ino)]