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Proof step 57 from proof inv-create (previous step)

fs1[ri1[inodekey(m)]].directory, fs1[ri1[inodekey(m)]].inode?, ro.inodes?, fo.inodes?, file-node-cons(fs1, ri1), log-cons(log0, fs1), orphans-cons(fs1, ri1, ro), replay-cons-strong(fs1, ri1, ro, fi, fo, log0), ri-inj(ri1), ri-inj(fi), ubifs-cons(fs1, ri1, ro, fi, fo, log0), inodekey(m) ∈ ri1, ri1[inodekey(m)] ∈ fs1, fs1[ri1[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, adr = adr2 ∨ adr = adr3 ⊦ 0 = m, adr = adr1, adr1 = adr2, adr1 = adr3, adr2 = adr3, n = 0, adr ∈ log0, adr3 ∈ fs1, adr2 ∈ fs1, adr1 ∈ fs1, inodekey(n) ∈ ri1, inodekey(n) ∈ fo, dentrykey(m, str) ∈ ri1, inodekey(m) ∈ ro, (adr = adr3 ∨ adr = adr2 ∨ adr ∈ fs1) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0);(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n);fs1[adr])).inode? → (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0);(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n);fs1[adr])).key.inode? ∧ (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0);(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n);fs1[adr])).key.ino ≠ 0) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0);(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n);fs1[adr])).dentry? → (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0);(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n);fs1[adr])).key.dentry?) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0);(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n);fs1[adr])).data? → (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0);(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n);fs1[adr])).key.data?) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0);(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n);fs1[adr])).trunc? → (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0);(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n);fs1[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