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Proof step 564 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, 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, adr = adr3 ∨ adr = adr4 ⊦ 0 = m8, 0 = m, adr = adr2, adr = adr1, adr1 = adr2, adr1 = adr3, adr1 = adr4, adr2 = adr3, adr2 = adr4, adr3 = adr4, m0 = 0, m4 = 0, m8 = ROOT_INO, adr ∈ log0, adr2 ∈ ri0 -- dentrykey(m, str0), adr4 ∈ fs0, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(m) ∈ ro, (adr = adr4 ∨ adr = adr3 ∨ adr ∈ fs0) ∧ ( (adr4 = adr ⊃ inodenode(inodekey(m8), md1, boolvar2, m0, m9, m6);(adr3 = adr ⊃ inodenode(inodekey(m), md, true, m1, m2, m4);fs0[adr])).inode? → (adr4 = adr ⊃ inodenode(inodekey(m8), md1, boolvar2, m0, m9, m6);(adr3 = adr ⊃ inodenode(inodekey(m), md, true, m1, m2, m4);fs0[adr])).key .inode? ∧ (adr4 = adr ⊃ inodenode(inodekey(m8), md1, boolvar2, m0, m9, m6);(adr3 = adr ⊃ inodenode(inodekey(m), md, true, m1, m2, m4);fs0[adr])).key .ino ≠ 0) ∧ ( (adr4 = adr ⊃ inodenode(inodekey(m8), md1, boolvar2, m0, m9, m6);(adr3 = adr ⊃ inodenode(inodekey(m), md, true, m1, m2, m4);fs0[adr])).dentry? → (adr4 = adr ⊃ inodenode(inodekey(m8), md1, boolvar2, m0, m9, m6);(adr3 = adr ⊃ inodenode(inodekey(m), md, true, m1, m2, m4);fs0[adr])).key .dentry?) ∧ ( (adr4 = adr ⊃ inodenode(inodekey(m8), md1, boolvar2, m0, m9, m6);(adr3 = adr ⊃ inodenode(inodekey(m), md, true, m1, m2, m4);fs0[adr])).data? → (adr4 = adr ⊃ inodenode(inodekey(m8), md1, boolvar2, m0, m9, m6);(adr3 = adr ⊃ inodenode(inodekey(m), md, true, m1, m2, m4);fs0[adr])).key .data?) ∧ ( (adr4 = adr ⊃ inodenode(inodekey(m8), md1, boolvar2, m0, m9, m6);(adr3 = adr ⊃ inodenode(inodekey(m), md, true, m1, m2, m4);fs0[adr])).trunc? → (adr4 = adr ⊃ inodenode(inodekey(m8), md1, boolvar2, m0, m9, m6);(adr3 = adr ⊃ inodenode(inodekey(m), md, true, m1, m2, m4);fs0[adr])).key .inode?)

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: adr = adr3

Additional information

Used simplifier rules: ⊦ inodenode(key, md, boolvar, m, m0, m1).inode?; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).key = key; (s)% ⊦ inodekey(m).inode?; (s)% ⊦ inodekey(m).ino = m; (s)% ⊦ ¬ inodenode(key, md, boolvar, m, m0, m1).dentry?; (s)% ⊦ ¬ inodenode(key, md, boolvar, m, m0, m1).data?; (s)% ⊦ ¬ inodenode(key, md, boolvar, m, m0, m1).trunc?; (s) Used formulas: adr = adr3