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Proof step 333 from proof inv-unlink (previous step)

m3 + 1 = fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO ↔ inodekey(ino) ∈ ro, fs0[ri0[dentrykey(m1, str)]] = dentrynode(key, m), fs0[ri0[inodekey(m1)]].directory, fs0[ri0[inodekey(m)]].inode?, fs0[ri0[inodekey(m1)]].inode?, 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), inodekey(ino) ∈ ri0, dentrykey(m1, str) ∈ ri0, ri0[dentrykey(m1, str)] ∈ fs0, inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(m1) ∈ ri0, ri0[inodekey(m1)] ∈ fs0, 1 ≤ fs0[ri0[inodekey(m1)]].size, fs0[ri0[inodekey(m1)]].nlink ≠ 0 ∨ m1 = ROOT_INO ⊦ fs0[ri0[inodekey(m1)]].size = 0, (adr3 = (m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)])) ⊃ inodenode(inodekey(m), md, false, m3, fs0[ri0[inodekey(m)]].nsubdirs, m2) ;(adr2 = (m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)])) ⊃ dentrynode(dentrykey(m1, str), 0) ;(adr1 = (m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)])) ⊃ inodenode(inodekey(m1), md0, true, fs0[ri0[inodekey(m1)]].nlink, fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[inodekey(m1)]].size - 1) ;fs0[(m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)]))] ) ) ) .nlink = 0 ∧ ino ≠ ROOT_INO ↔ inodekey(ino) ∈ ro, adr1 = adr3, adr1 = adr2, adr2 = adr3, m = 0, m = ROOT_INO, m1 = 0, m3 = 0, fs0[ri0[inodekey(m)]].directory, inodekey(m1) ∈ ro, inodekey(m) ∈ ro, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 334:
m3 + 1 = fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO ↔ inodekey(ino) ∈ ro, fs0[ri0[dentrykey(m1, str)]] = dentrynode(key, m), fs0[ri0[inodekey(m1)]] = inodenode(key0, md1, boolvar, m0, m4, m5), boolvar, fs0[ri0[inodekey(m1)]].inode?, fs0[ri0[inodekey(m)]].inode?, 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), ri0[inodekey(m1)] ∈ fs0, inodekey(m1) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, ri0[dentrykey(m1, str)] ∈ fs0, dentrykey(m1, str) ∈ ri0, inodekey(ino) ∈ ri0, 1 ≤ m5, m0 ≠ 0 ∨ m1 = ROOT_INO ⊦ (adr3 = (m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)])) ⊃ inodenode(inodekey(m), md, false, m3, fs0[ri0[inodekey(m)]].nsubdirs, m2) ;(adr2 = (m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)])) ⊃ dentrynode(dentrykey(m1, str), 0) ;(adr1 = (m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)])) ⊃ inodenode(inodekey(m1), md0, true, m0, m4, m5 - 1) ;fs0[(m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)]))] ) ) ) .nlink = 0 ∧ ino ≠ ROOT_INO ↔ inodekey(ino) ∈ ro, adr1 = adr2, adr1 = adr3, adr2 = adr3, m = ROOT_INO, m = 0, m1 = 0, m3 = 0, m5 = 0, fs0[ri0[inodekey(m)]].directory, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m) ∈ ro, inodekey(m1) ∈ ro

Rule argument

spec: node name: elim-03 seq: ⊦ nd.inode? → ( ( ( ( (key = nd.key ∧ md = nd.meta) ∧ (boolvar ↔ nd.directory)) ∧ m = nd.nlink) ∧ m0 = nd.nsubdirs) ∧ m1 = nd.size ↔ nd = inodenode(key, md, boolvar, m, m0, m1)) subst: [nd, key, md, boolvar, m, m0, m1] → [fs0[ri0[inodekey(m1)]], key0, md1, boolvar, m0, m4, m5]

Additional information

Used simplifier rules: ⊦ nd.inode? → ( ( ( ( (key = nd.key ∧ md = nd.meta) ∧ (boolvar ↔ nd.directory)) ∧ m = nd.nlink) ∧ m0 = nd.nsubdirs) ∧ m1 = nd.size ↔ nd = inodenode(key, md, boolvar, m, m0, m1)); (elim) Used terms: fs0[ri0[inodekey(m1)]], key0, md1, boolvar, m0, m4, m5