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Proof step 128 from proof inv-mkdir (previous step)

fs1[ri1[inodekey(ino)]].nlink = 0 ↔ inodekey(ino) ∈ ro, fs1[ri1[inodekey(m)]] = inodenode(key, md1, true, m0, m1, m2), ro.inodes?, fo.inodes?, file-node-cons(fs1, ri1), log-cons(log0, fs1), orphans-cons(fs1, ri1, ro), replay-cons-strong(fs1, ri1, ro, fi, fo, log0), ri-inj(ri1), ri-inj(fi), ubifs-cons(fs1, ri1, ro, fi, fo, log0), inodekey(ino) ∈ ri1, inodekey(m) ∈ ri1, ri1[inodekey(m)] ∈ fs1, m0 ≠ 0 ∨ m = ROOT_INO ⊦ (adr2 = ri1[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str), n) ;(adr1 = ri1[inodekey(ino)] ⊃ inodenode(inodekey(m), md0, true, m0, m1 + 1, m2 + 1);fs1[ri1[inodekey(ino)]]) ) .nlink = 0 ↔ inodekey(ino) ∈ ro, adr1 = adr2, adr1 = adr3, adr2 = adr3, adr3 = ri1[inodekey(ino)], ino = ROOT_INO, m = ino, n = 0, adr3 ∈ fs1, adr2 ∈ fs1, adr1 ∈ fs1, inodekey(n) ∈ ri1, inodekey(n) ∈ fo, dentrykey(m, str) ∈ ri1, inodekey(m) ∈ ro

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 129:
fs1[ri1[inodekey(ino)]].nlink = 0 ↔ inodekey(ino) ∈ ro, fs1[ri1[inodekey(m)]] = inodenode(key, md1, true, m0, m1, m2), fo.inodes?, ro.inodes?, file-node-cons(fs1, ri1), log-cons(log0, fs1), orphans-cons(fs1, ri1, ro), replay-cons-strong(fs1, ri1, ro, fi, fo, log0), ri-inj(fi), ri-inj(ri1), ubifs-cons(fs1, ri1, ro, fi, fo, log0), ri1[inodekey(m)] ∈ fs1, inodekey(m) ∈ ri1, inodekey(ino) ∈ ri1, m0 ≠ 0 ∨ m = ROOT_INO ⊦ (adr2 = ri1[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str), n) ;(adr1 = ri1[inodekey(ino)] ⊃ inodenode(inodekey(m), md0, true, m0, m1 + 1, m2 + 1);fs1[ri1[inodekey(ino)]]) ) .nlink = 0 ↔ inodekey(ino) ∈ ro, adr1 = adr3, adr1 = adr2, adr2 = adr3, adr2 = ri1[inodekey(ino)], adr3 = ri1[inodekey(ino)], ino = ROOT_INO, m = ino, n = 0, inodekey(m) ∈ ro, dentrykey(m, str) ∈ ri1, inodekey(n) ∈ fo, inodekey(n) ∈ ri1, adr1 ∈ fs1, adr2 ∈ fs1, adr3 ∈ fs1

Rule argument

fma: adr2 = ri1[inodekey(ino)]

Additional information

Used simplifier rules: ⊦ ¬ adr ∈ fs → fs[adr] = (∅)[adr]; (s)% ⊦ key ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → ri[key] ∈ fs; (ss) Used formulas: adr2 = ri1[inodekey(ino)]