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Proof step 98 from proof inv-rename-new-keep-parent (previous step)

fs0[ri0[dentrykey(m, str)]] = dentrynode(key0, m0), fs0[ri0[inodekey(m)]] = inodenode(key1, md0, true, m4, m5, m6), 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(m)] ∈ fs0, inodekey(m) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(m0) ∈ ri0, dentrykey(m, str) ∈ ri0, 1 ≤ m6, boolvar2 → 1 ≤ m5, ¬ fs0[ri0[inodekey(m0)]].directory ∧ ¬ boolvar2 ∨ fs0[ri0[inodekey(m0)]].directory ∧ boolvar2 ∧ m3 = fs0[ri0[inodekey(m0)]].size, m4 ≠ 0 ∨ m = ROOT_INO, adr = adr2 ∨ adr = adr3 ⊦ adr = adr1, adr1 = adr2, adr1 = adr3, adr2 = adr3, m = 0, m6 = 0, adr ∈ log0, adr2 ∈ ri0 -- dentrykey(m, str), adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, dentrykey(m, str0) ∈ ri0, inodekey(m) ∈ ro, adr3 ∈ (ri0 -- dentrykey(m, str))[dentrykey(m, str0), adr2], (adr = adr3 ∨ adr = adr2 ∨ adr ∈ fs0) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(m), md, true, m4, m5, m6);(adr2 = adr ⊃ dentrynode(dentrykey(m, str0), m0);fs0[adr])).inode? → (adr3 = adr ⊃ inodenode(inodekey(m), md, true, m4, m5, m6);(adr2 = adr ⊃ dentrynode(dentrykey(m, str0), m0);fs0[adr])).key.inode? ∧ (adr3 = adr ⊃ inodenode(inodekey(m), md, true, m4, m5, m6);(adr2 = adr ⊃ dentrynode(dentrykey(m, str0), m0);fs0[adr])).key.ino ≠ 0) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(m), md, true, m4, m5, m6);(adr2 = adr ⊃ dentrynode(dentrykey(m, str0), m0);fs0[adr])).dentry? → (adr3 = adr ⊃ inodenode(inodekey(m), md, true, m4, m5, m6);(adr2 = adr ⊃ dentrynode(dentrykey(m, str0), m0);fs0[adr])).key.dentry?) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(m), md, true, m4, m5, m6);(adr2 = adr ⊃ dentrynode(dentrykey(m, str0), m0);fs0[adr])).data? → (adr3 = adr ⊃ inodenode(inodekey(m), md, true, m4, m5, m6);(adr2 = adr ⊃ dentrynode(dentrykey(m, str0), m0);fs0[adr])).key.data?) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(m), md, true, m4, m5, m6);(adr2 = adr ⊃ dentrynode(dentrykey(m, str0), m0);fs0[adr])).trunc? → (adr3 = adr ⊃ inodenode(inodekey(m), md, true, m4, m5, m6);(adr2 = adr ⊃ dentrynode(dentrykey(m, str0), m0);fs0[adr])).key.inode?)

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: adr = adr2

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)% ⊦ ¬ dentrynode(key, m).inode?; (s)% ⊦ dentrynode(key, m).dentry?; (s)% ⊦ dentrynode(key, m).key = key; (s)% ⊦ dentrykey(m, str).dentry?; (s)% ⊦ ¬ dentrynode(key, m).data?; (s)% ⊦ ¬ dentrynode(key, m).trunc?; (s) Used formulas: adr = adr2