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Proof step 56 from proof inv-create (previous step)

fs1[ri1[inodekey(m)]].directory, fs1[ri1[inodekey(m)]].inode?, fo.inodes?, ro.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(fi), ri-inj(ri1), ubifs-cons(fs1, ri1, ro, fi, fo, log0), ri1[inodekey(m)] ∈ fs1, inodekey(m) ∈ ri1, adr = adr1 ∨ adr = adr2 ∨ adr = adr3, fs1[ri1[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ 0 = m, adr = adr1, adr1 = adr3, adr1 = adr2, adr2 = adr3, n = 0, inodekey(m) ∈ ro, dentrykey(m, str) ∈ ri1, inodekey(n) ∈ fo, inodekey(n) ∈ ri1, adr1 ∈ fs1, adr2 ∈ fs1, adr3 ∈ fs1, adr ∈ log0, (adr = adr3 ∨ adr = adr2 ∨ adr = adr1 ∨ adr ∈ fs1) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0) ;(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n) ;(adr1 = adr ⊃ inodenode(inodekey(m), md0, true, fs1[ri1[inodekey(m)]].nlink, fs1[ri1[inodekey(m)]].nsubdirs, fs1[ri1[inodekey(m)]].size + 1) ;fs1[adr] ) ) ) .inode? → (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0) ;(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n) ;(adr1 = adr ⊃ inodenode(inodekey(m), md0, true, fs1[ri1[inodekey(m)]].nlink, fs1[ri1[inodekey(m)]].nsubdirs, fs1[ri1[inodekey(m)]].size + 1) ;fs1[adr] ) ) ) .key .inode? ∧ (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0) ;(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n) ;(adr1 = adr ⊃ inodenode(inodekey(m), md0, true, fs1[ri1[inodekey(m)]].nlink, fs1[ri1[inodekey(m)]].nsubdirs, fs1[ri1[inodekey(m)]].size + 1) ;fs1[adr] ) ) ) .key .ino ≠ 0) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0) ;(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n) ;(adr1 = adr ⊃ inodenode(inodekey(m), md0, true, fs1[ri1[inodekey(m)]].nlink, fs1[ri1[inodekey(m)]].nsubdirs, fs1[ri1[inodekey(m)]].size + 1) ;fs1[adr] ) ) ) .dentry? → (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0) ;(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n) ;(adr1 = adr ⊃ inodenode(inodekey(m), md0, true, fs1[ri1[inodekey(m)]].nlink, fs1[ri1[inodekey(m)]].nsubdirs, fs1[ri1[inodekey(m)]].size + 1) ;fs1[adr] ) ) ) .key .dentry?) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0) ;(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n) ;(adr1 = adr ⊃ inodenode(inodekey(m), md0, true, fs1[ri1[inodekey(m)]].nlink, fs1[ri1[inodekey(m)]].nsubdirs, fs1[ri1[inodekey(m)]].size + 1) ;fs1[adr] ) ) ) .data? → (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0) ;(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n) ;(adr1 = adr ⊃ inodenode(inodekey(m), md0, true, fs1[ri1[inodekey(m)]].nlink, fs1[ri1[inodekey(m)]].nsubdirs, fs1[ri1[inodekey(m)]].size + 1) ;fs1[adr] ) ) ) .key .data?) ∧ ( (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0) ;(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n) ;(adr1 = adr ⊃ inodenode(inodekey(m), md0, true, fs1[ri1[inodekey(m)]].nlink, fs1[ri1[inodekey(m)]].nsubdirs, fs1[ri1[inodekey(m)]].size + 1) ;fs1[adr] ) ) ) .trunc? → (adr3 = adr ⊃ inodenode(inodekey(n), md, false, 1, 0, 0) ;(adr2 = adr ⊃ dentrynode(dentrykey(m, str), n) ;(adr1 = adr ⊃ inodenode(inodekey(m), md0, true, fs1[ri1[inodekey(m)]].nlink, fs1[ri1[inodekey(m)]].nsubdirs, fs1[ri1[inodekey(m)]].size + 1) ;fs1[adr] ) ) ) .key .inode?)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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