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Proof step 303 from proof refine-unlink (previous step)

m5 + 1 = fs0[ri0[inodekey(fs0[ri0[dentrykey(m, str)]].ino)]].nlink, 0 = fs0[ri0[inodekey(fs0[ri0[dentrykey(m, str)]].ino)]].nsubdirs, adr = adr3, files = abs-files(fs0, ri0), fs = fs0[adr1, inodenode(inodekey(m), md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size - 1)] [adr2, dentrynode(dentrykey(m, str), 0) ] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(m, str)]].ino), md0, false, m5, 0, m6) ], fs1 = fs0[adr1, inodenode(inodekey(m), md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size - 1)] [adr2, dentrynode(dentrykey(m, str), 0) ] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(m, str)]].ino), md0, false, m5, 0, m6) ], fs2 = fs0[adr1, inodenode(inodekey(m), md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size - 1)] [adr2, dentrynode(dentrykey(m, str), 0) ] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(m, str)]].ino), md0, false, m5, 0, m6) ], key = inodekey(fs0[ri0[dentrykey(m, str)]].ino), key0 = dentrykey(m, mkdentry(str, fs0[ri0[dentrykey(m, str)]].ino).name), log = ((log0 + adr1 ') + adr2 ') + adr3 ', log1 = ((log0 + adr1 ') + adr2 ') + adr3 ', log2 = ((log0 + adr1 ') + adr2 ') + adr3 ', m3 = fs0[ri0[dentrykey(m, str)]].ino, m4 = m5 + 1, old_dent = mkdentry(str, m3), p_inode0 = mkinode(m, md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size), p_inode1 = mkinode(m3, md0, false, m4, 0, m6), ri = ri2[key, adr], ri1 = ri0[inodekey(m), adr1], ri2 = ri1 -- key0, ro = orphans(fs0, ri0), ro0 = orphans(fs0, ri0), ro1 = orphans(fs0, ri0), fs0[ri0[dentrykey(m, str)]].dentry?, fs0[ri0[inodekey(m)]].directory, inodenode(inodekey(m3), md0, false, m5, 0, m6).inode?, inodenode(inodekey(m), md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size - 1).inode?, fs0[ri0[inodekey(m)]].inode?, ro0.inodes?, orphans(fs0, ri0).inodes?, fo.inodes?, afs-cons(abs-dirs(fs0, ri0), abs-files(fs0, ri0)), file-node-cons(fs1, ri), file-node-cons(fs0, ri0), key-cons(key, fs[adr]), log-cons(log1, fs1), log-cons(log0, fs0), orphans-cons(fs1, ri, ro0), orphans-cons(fs0, ri0, orphans(fs0, ri0)), replay-cons-strong(fs1, ri, ro0, fi, fo, log1), replay-cons-strong(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), ri-cons(ri0, fs0), ri-inj(ri), ri-inj(ri0), ri-inj(fi), ubifs-cons(fs1, ri, ro0, fi, fo, log1), ubifs-cons(fs0, ri0, orphans(fs0, ri0), fi, fo, log0), dentrykey(m, str) ∈ ri0, ri0[dentrykey(m, str)] ∈ fs0, inodekey(fs0[ri0[dentrykey(m, str)]].ino) ∈ ri0, adr ∈ fs, ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, 1 ≤ fs0[ri0[inodekey(m)]].size, fs0[ri0[inodekey(m)]].size ≥ 1, asynced → boolvar0, m5 = 0 → links(fs0[ri0[dentrykey(m, str)]].ino, fs0, ri0) = ∅ ++ dentrykey(m, str), ¬ adr ∈ ri2 → adr ∈ fs → adr ∈ fs, inodenode(inodekey(m3), md0, false, m5, 0, m6).trunc? ∨ inodenode(inodekey(m3), md0, false, m5, 0, m6).inode?, fs0[ri0[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, links(m, abs-dirs(fs0, ri0)) ≠ ∅ ∨ m = ROOT_INO, inodenode(inodekey(m), md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size - 1).trunc? ∨ inodenode(inodekey(m), md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size - 1).inode?, fs0[ri0[inodekey(m)]].trunc? ∨ fs0[ri0[inodekey(m)]].inode? ⊦ ⟨dirs := abs-dirs(fs0, ri0); afs_unlink#(; p_inode0, p_inode1, old_dent, err0, dirs, files; asynced)⟩ ( dirs = abs-dirs(fs1, ri) ∧ files = abs-files(fs1, ri) ∧ orphans(abs-dirs(fs1, ri), abs-files(fs1, ri)) = abs-keys(ro0) ∧ (asynced → boolvar) ∧ mkinode (m, inodenode(inodekey(m), md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size - 1).meta, inodenode(inodekey(m), md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size - 1).directory, inodenode(inodekey(m), md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size - 1).nlink, inodenode(inodekey(m), md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size - 1).nsubdirs, inodenode(inodekey(m), md, true, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, fs0[ri0[inodekey(m)]].size - 1).size) = p_inode0 ∧ mkinode (m3, inodenode(inodekey(m3), md0, false, m5, 0, m6).meta, inodenode(inodekey(m3), md0, false, m5, 0, m6).directory, inodenode(inodekey(m3), md0, false, m5, 0, m6).nlink, inodenode(inodekey(m3), md0, false, m5, 0, m6).nsubdirs, inodenode(inodekey(m3), md0, false, m5, 0, m6).size) = p_inode1 ∧ negdentry(mkdentry(str, fs0[ri0[dentrykey(m, str)]].ino).name) = old_dent ∧ ESUCCESS = err0), fs0[ri0[dentrykey(m, str)]].ino = 0, fs0[ri0[dentrykey(m, str)]].ino = ROOT_INO, fs0[ri0[inodekey(m)]].size = 0, adr1 = adr3, adr1 = adr2, adr2 = adr3, m = 0, m4 = 1, fs0[ri0[inodekey(fs0[ri0[dentrykey(m, str)]].ino)]].directory, adr ∈ ri2, adr1 ∈ fs0, adr2 ∈ fs0, adr3 ∈ fs0

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

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