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Proof step 193 from proof inv-unlink (previous step)

fs0[ri0[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO ↔ inodekey(ino) ∈ ro, 1 = fs0[ri0[inodekey(m)]].nlink, fs0[ri0[dentrykey(m1, str)]] = dentrynode(key, m), fs0[ri0[inodekey(m1)]] = inodenode(key0, md1, boolvar, m0, m3, m4), boolvar, links(m, fs0, ri0) = ∅ ++ dentrykey(m1, str), 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), 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 ⊦ (adr3 = (m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)])) ⊃ inodenode(inodekey(m), md, false, 0, 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, m3, m4 - 1) ;fs0[(m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)]))] ) ) ) .nlink = 0 ∧ ino ≠ ROOT_INO ↔ ino = m ∨ inodekey(ino) ∈ ro, adr1 = adr3, adr1 = adr2, adr2 = adr3, m = 0, m = ROOT_INO, m1 = 0, m4 = 0, fs0[ri0[inodekey(m)]].directory, inodekey(m1) ∈ ro, inodekey(m) ∈ ro, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 194:
fs0[ri0[inodekey(ino)]].nlink = 0 ∧ ino ≠ ROOT_INO ↔ inodekey(ino) ∈ ro, 1 = fs0[ri0[inodekey(m)]].nlink, 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), 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), 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 ⊦ (adr3 = (m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)])) ⊃ inodenode(inodekey(m), md, false, 0, 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, m3, m4 - 1) ;fs0[(m = ino ⊃ adr3;(m1 = ino ⊃ adr1;ri0[inodekey(ino)]))] ) ) ) .nlink = 0 ∧ ino ≠ ROOT_INO ↔ ino = m ∨ inodekey(ino) ∈ ro, adr1 = adr3, adr1 = adr2, adr2 = adr3, m = 0, m = ROOT_INO, m1 = 0, m4 = 0, fs0[ri0[inodekey(m)]].directory, inodekey(m1) ∈ ro, inodekey(m) ∈ ro, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0

Rule argument

Additional information

Used simplifier rules: ⊦ inodenode(key, md, boolvar, m, m0, m1).inode?; (s)%not-zero: 0 < n ⊦ (* n) ≤ m → m ≠ 0; (forward) from specification nat