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Proof step 680 from proof inv-rename-overwrite-keep-parent (previous step)

fs0[ri0[inodekey(ino)]].nlink = 0, 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), inodekey(ino) ∈ ro, 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, ¬ boolvar0 ∧ ¬ boolvar2 ∨ boolvar0 ∧ boolvar2 ∧ m6 = m10, ¬ boolvar0 ∧ ¬ boolvar3 ∨ boolvar0 ∧ boolvar3 ∧ m3 = m10, m1 ≠ 0 ∨ m = ROOT_INO ⊦ # ro = 0, (adr3 = (m8 = ino ⊃ adr4;ri0[inodekey(ino)]) ⊃ inodenode(inodekey(m), md, true, m1, m2, m4) ;(adr2 = (m8 = ino ⊃ adr4;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m, str0), m8) ;(adr1 = (m8 = ino ⊃ adr4;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m, str0), 0);fs0[(m8 = ino ⊃ adr4;ri0[inodekey(ino)])]) ) ) .nlink = 0, adr1 = adr2, adr1 = adr3, adr1 = adr4, adr2 = adr3, adr2 = adr4, adr3 = adr4, adr4 = (m8 = ino ⊃ adr4;ri0[inodekey(ino)]), ino = ROOT_INO, m0 = 0, m4 = 0, m8 = ROOT_INO, ro = ∅, 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 681:
fs0[ri0[inodekey(ino)]].nlink = 0, 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, inodekey(ino) ∈ ro, 1 ≤ m4, 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 ⊦ # ro = 0, (adr3 = (m8 = ino ⊃ adr4;ri0[inodekey(ino)]) ⊃ inodenode(inodekey(m), md, true, m1, m2, m4) ;(adr2 = (m8 = ino ⊃ adr4;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m, str0), m8) ;(adr1 = (m8 = ino ⊃ adr4;ri0[inodekey(ino)]) ⊃ dentrynode(dentrykey(m, str0), 0);fs0[(m8 = ino ⊃ adr4;ri0[inodekey(ino)])]) ) ) .nlink = 0, adr1 = adr4, adr1 = adr3, adr1 = adr2, adr2 = adr4, adr2 = adr3, adr3 = adr4, adr4 = (m8 = ino ⊃ adr4;ri0[inodekey(ino)]), ino = ROOT_INO, m0 = 0, m4 = 0, m8 = ROOT_INO, m8 = ino, ro = ∅, inodekey(m) ∈ ro, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0, adr4 ∈ fs0, adr2 ∈ ri0 -- dentrykey(m, str0)

Rule argument

fma: m8 = ino

Additional information

Used formulas: m8 = ino