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Proof step 655 from proof inv-rename-overwrite-keep-parent (previous step)

fs0[ri0[inodekey(m)]] = inodenode(key2, md2, true, m1, m2, m4), fs0[ri0[dentrykey(m, str0)]] = dentrynode(key0, m8), fs0[ri0[inodekey(m8)]] = inodenode(key1, md0, boolvar0, m0, m9, m10), 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(m8)] ∈ fs0, ri0[dentrykey(m, str0)] ∈ fs0, inodekey(m8) ∈ ri0, dentrykey(m, str0) ∈ ri0, inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, inodekey(ino) ∈ ri0, 1 ≤ m4, boolvar0 → dentrykeys(inodekey(m8), ri0) = ∅, m0 = 1 → links(m8, fs0, ri0) = ∅ ++ dentrykey(m, str0), boolvar3 → 1 ≤ m2, ¬ fs0[ri0[inodekey(ino)]].directory → fs0[ri0[inodekey(ino)]].nsubdirs = 0, ¬ boolvar0 ∧ ¬ boolvar2 ∨ boolvar0 ∧ boolvar2 ∧ m6 = m10, ¬ boolvar0 ∧ ¬ boolvar3 ∨ boolvar0 ∧ boolvar3 ∧ m3 = m10, m1 ≠ 0 ∨ m = ROOT_INO ⊦ (adr3 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m), md, true, m1, m2, m4) ;(adr2 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str0), m8) ;(adr1 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str0), 0);fs0[ri0[inodekey(ino)]]) ) ) .nsubdirs = 0, adr1 = adr2, adr1 = adr3, adr1 = adr4, adr2 = adr3, adr2 = adr4, adr3 = adr4, adr4 = ri0[inodekey(ino)], m = ino, m0 = 0, m4 = 0, m8 = ino, m8 = ROOT_INO, (adr3 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m), md, true, m1, m2, m4) ;(adr2 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str0), m8) ;(adr1 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str0), 0);fs0[ri0[inodekey(ino)]]) ) ) .directory, adr2 ∈ ri0 -- dentrykey(m, str0), adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m) ∈ ro

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 656:
fs0[ri0[inodekey(m8)]] = inodenode(key1, md0, boolvar0, m0, m9, m10), fs0[ri0[dentrykey(m, str0)]] = dentrynode(key0, m8), fs0[ri0[inodekey(m)]] = inodenode(key2, md2, true, m1, m2, m4), 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, ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, dentrykey(m, str0) ∈ ri0, inodekey(m8) ∈ ri0, ri0[dentrykey(m, str0)] ∈ fs0, ri0[inodekey(m8)] ∈ fs0, 1 ≤ m4, ¬ fs0[ri0[inodekey(ino)]].directory → fs0[ri0[inodekey(ino)]].nsubdirs = 0, boolvar3 → 1 ≤ m2, m0 = 1 → links(m8, fs0, ri0) = ∅ ++ dentrykey(m, str0), boolvar0 → dentrykeys(inodekey(m8), ri0) = ∅, m1 ≠ 0 ∨ m = ROOT_INO, ¬ boolvar0 ∧ ¬ boolvar3 ∨ boolvar0 ∧ boolvar3 ∧ m3 = m10, ¬ boolvar0 ∧ ¬ boolvar2 ∨ boolvar0 ∧ boolvar2 ∧ m6 = m10 ⊦ (adr3 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m), md, true, m1, m2, m4) ;(adr2 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str0), m8) ;(adr1 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str0), 0);fs0[ri0[inodekey(ino)]]) ) ) .nsubdirs = 0, adr1 = adr4, adr1 = adr3, adr1 = adr2, adr2 = adr4, adr2 = adr3, adr3 = adr4, adr3 = ri0[inodekey(ino)], adr4 = ri0[inodekey(ino)], m = ino, m0 = 0, m4 = 0, m8 = ROOT_INO, m8 = ino, (adr3 = ri0[inodekey(ino)] ⊃ inodenode(inodekey(m), md, true, m1, m2, m4) ;(adr2 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str0), m8) ;(adr1 = ri0[inodekey(ino)] ⊃ dentrynode(dentrykey(m, str0), 0);fs0[ri0[inodekey(ino)]]) ) ) .directory, inodekey(m) ∈ ro, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr4 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m, str0)

Rule argument

fma: adr3 = ri0[inodekey(ino)]

Additional information

Used simplifier rules: ⊦ inodenode(key, md, boolvar, m, m0, m1).nsubdirs = m0; (s)% ⊦ key ∈ ri ∧ ubifs-cons(fs, ri, ro, fi, fo, log) → ri[key] ∈ fs; (ss) Used formulas: adr3 = ri0[inodekey(ino)]