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Proof step 204 from proof inv-unlink (previous step)

fs0[ri0[inodekey(ino)]].nlink = 0 ↔ inodekey(ino) ∈ ro, fs0[ri0[inodekey(m1)]] = inodenode(key0, md1, true, m0, m3, m4), fs0[ri0[dentrykey(m1, str)]] = dentrynode(key, m), fs0[ri0[inodekey(m)]] = inodenode(key1, md2, false, 1, m6, m7), links(m, fs0, ri0) = ∅ ++ dentrykey(m1, str), 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), dentrykey(m1, str) ∈ ri0, ri0[dentrykey(m1, str)] ∈ fs0, inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(m1) ∈ ri0, ri0[inodekey(m1)] ∈ fs0, inodekey(ino) ∈ ri0, 1 ≤ m4, m0 ≠ 0 ∨ m1 = ROOT_INO ⊦ (adr2 = (m = ino ⊃ adr3;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m1, str), 0);fs0[(m = ino ⊃ adr3;ri0[inodekey(ino)])]).nlink = 0 ↔ ino = m ∨ inodekey(ino) ∈ ro, adr1 = (m = ino ⊃ adr3;ri0[inodekey(ino)]), adr1 = adr2, adr1 = adr3, adr2 = adr3, adr3 = (m = ino ⊃ adr3;ri0[inodekey(ino)]), ino = ROOT_INO, m = ROOT_INO, m = 0, m1 = ino, m1 = 0, m4 = 0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m) ∈ ro, inodekey(m1) ∈ ro

Heuristic if-then-else split applied rule case distinction

And obtained the following new goals

Proof step 205:
fs0[ri0[inodekey(ino)]].nlink = 0 ↔ inodekey(ino) ∈ ro, fs0[ri0[inodekey(m)]] = inodenode(key1, md2, false, 1, m6, m7), fs0[ri0[dentrykey(m1, str)]] = dentrynode(key, m), fs0[ri0[inodekey(m1)]] = inodenode(key0, md1, true, m0, m3, m4), links(m, fs0, ri0) = ∅ ++ dentrykey(m1, str), 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(ino) ∈ ri0, ri0[inodekey(m1)] ∈ fs0, inodekey(m1) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, ri0[dentrykey(m1, str)] ∈ fs0, dentrykey(m1, str) ∈ ri0, 1 ≤ m4, m0 ≠ 0 ∨ m1 = ROOT_INO ⊦ (adr2 = (m = ino ⊃ adr3;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m1, str), 0);fs0[(m = ino ⊃ adr3;ri0[inodekey(ino)])]).nlink = 0 ↔ ino = m ∨ inodekey(ino) ∈ ro, adr1 = adr3, adr1 = adr2, adr1 = ri0[inodekey(ino)], adr2 = adr3, adr3 = (m = ino ⊃ adr3;ri0[inodekey(ino)]), ino = ROOT_INO, m = 0, m = ROOT_INO, m = ino, m1 = 0, m1 = ino, m4 = 0, inodekey(m1) ∈ ro, inodekey(m) ∈ ro, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0

Rule argument

pos: right 2

Additional information

Used simplifier rules: ubifs-cons-dentry-target-not-in-orphans: ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) ∧ dentrykey(ino, str) ∈ ri ∧ fs[ri[dentrykey(ino, str)]] = dentrynode(key, m) → ¬ inodekey(m) ∈ ro;