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Proof step 105 from proof inv-rename-new-reparent (previous step)

fs0[ri0[dentrykey(m, str)]] = dentrynode(key1, m3), fs0[ri0[inodekey(m3)]] = inodenode(key0, md1, boolvar0, m5, m9, m10), fs0[ri0[inodekey(m0)]] = inodenode(key2, md3, true, m6, m7, m8), fs0[ri0[dentrykey(ino, str1)]] = dentrynode(dentrykey(ino, str1), m11), fs0[ri0[inodekey(ino)]].directory, 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, inodekey(m11) ∈ ri0, dentrykey(m, str) ∈ ri0, inodekey(m3) ∈ ri0, inodekey(m0) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, ri0[inodekey(m3)] ∈ fs0, inodekey(m) ∈ ri0, ri0[inodekey(m0)] ∈ fs0, ri0[inodekey(m)] ∈ fs0, dentrykey(ino, str1) ∈ ri0, ri0[dentrykey(ino, str1)] ∈ fs0, m2 ≠ 0 ∨ m = ROOT_INO, m6 ≠ 0 ∨ m0 = ROOT_INO, ¬ boolvar0 ∧ ¬ boolvar2 ∨ boolvar0 ∧ boolvar2 ∧ m4 = m10 ⊦ adr1 = adr4, adr1 = adr3, adr1 = adr2, adr2 = adr4, adr2 = adr3, adr3 = adr4, adr4 = (m = ino ⊃ adr3;ri0[inodekey(ino)]), dentrykey(ino, str1) = dentrykey(m, str), ino = 0, m = 0, m0 = ino, m0 = m, m0 = 0, (adr3 = (m = ino ⊃ adr3;ri0[inodekey(ino)]) ⊃ inodenode(inodekey(m), md, true, m2, n0, m1) ;(adr2 = (m = ino ⊃ adr3;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m0, str0), m3) ;(adr1 = (m = ino ⊃ adr3;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m, str), 0);fs0[(m = ino ⊃ adr3;ri0[inodekey(ino)])]) ) ) .directory, inodekey(ino) ∈ ro, inodekey(m11) ∈ ro, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2], inodekey(m) ∈ ro, dentrykey(m0, str0) ∈ ri0, inodekey(m0) ∈ ro, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr4 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m, str), adr4 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2][inodekey(m), adr3]

Heuristic nonsplitting cut applied rule cut formula

And obtained the following new goals

Proof step 106:
fs0[ri0[dentrykey(ino, str1)]] = dentrynode(dentrykey(ino, str1), m11), fs0[ri0[inodekey(m0)]] = inodenode(key2, md3, true, m6, m7, m8), fs0[ri0[inodekey(m3)]] = inodenode(key0, md1, boolvar0, m5, m9, m10), fs0[ri0[dentrykey(m, str)]] = dentrynode(key1, m3), fs0[ri0[inodekey(ino)]].directory, 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[dentrykey(ino, str1)] ∈ fs0, dentrykey(ino, str1) ∈ ri0, ri0[inodekey(m)] ∈ fs0, ri0[inodekey(m0)] ∈ fs0, inodekey(m) ∈ ri0, ri0[inodekey(m3)] ∈ fs0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m0) ∈ ri0, inodekey(m3) ∈ ri0, dentrykey(m, str) ∈ ri0, inodekey(m11) ∈ ri0, inodekey(ino) ∈ ri0, ¬ boolvar0 ∧ ¬ boolvar2 ∨ boolvar0 ∧ boolvar2 ∧ m4 = m10, m6 ≠ 0 ∨ m0 = ROOT_INO, m2 ≠ 0 ∨ m = ROOT_INO ⊦ adr1 = adr2, adr1 = adr3, adr1 = adr4, adr2 = adr3, adr2 = adr4, adr3 = adr4, adr4 = (m = ino ⊃ adr3;ri0[inodekey(ino)]), dentrykey(ino, str1) = dentrykey(m, str), ino = 0, m = 0, m = ino, m0 = 0, m0 = m, m0 = ino, (adr3 = (m = ino ⊃ adr3;ri0[inodekey(ino)]) ⊃ inodenode(inodekey(m), md, true, m2, n0, m1) ;(adr2 = (m = ino ⊃ adr3;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m0, str0), m3) ;(adr1 = (m = ino ⊃ adr3;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m, str), 0);fs0[(m = ino ⊃ adr3;ri0[inodekey(ino)])]) ) ) .directory, adr4 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2][inodekey(m), adr3], adr2 ∈ ri0 -- dentrykey(m, str), adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m0) ∈ ro, dentrykey(m0, str0) ∈ ri0, inodekey(m) ∈ ro, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m0, str0), adr2], inodekey(m11) ∈ ro, inodekey(ino) ∈ ro

Rule argument

fma: m = ino

Additional information

Used simplifier rules: ⊦ inodenode(key, md, boolvar, m, m0, m1).directory ↔ boolvar; (s) Used formulas: m = ino