[Imprint][Data Privacy Statement][E-Mail]



View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 47 from proof inv-unlink (previous step)

1 = fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].nlink, fs = fs0[adr1, inodenode(inodekey(m1), md0, true, fs0[ri0[inodekey(m1)]].nlink, fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[inodekey(m1)]].size - 1)] [adr2, dentrynode(dentrykey(m1, str), 0) ] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(m1, str)]].ino), md, false, 0, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].nsubdirs, m2) ], key = inodekey(fs0[ri0[dentrykey(m1, str)]].ino), links(fs0[ri0[dentrykey(m1, str)]].ino, fs0, ri0) = ∅ ++ dentrykey(m1, str), log = ((log0 + adr1 ') + adr2 ') + adr3 ', ri = (ri0[inodekey(m1), adr1] -- dentrykey(m1, str))[inodekey(fs0[ri0[dentrykey(m1, str)]].ino), adr3], fs0[ri0[dentrykey(m1, str)]].dentry?, fs0[ri0[inodekey(m1)]].directory, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].inode?, fs0[ri0[inodekey(m1)]].inode?, fo.inodes?, ro.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-cons(ri0, fs0), ri-inj(fi), ri-inj(ri0), ubifs-cons(fs0, ri0, ro, fi, fo, log0), dentrykey(m1, str) ∈ ri0, ri0[dentrykey(m1, str)] ∈ fs0, inodekey(fs0[ri0[dentrykey(m1, str)]].ino) ∈ ri0, ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)] ∈ fs0, inodekey(m1) ∈ ri0, ri0[inodekey(m1)] ∈ fs0, 1 ≤ fs0[ri0[inodekey(m1)]].size, fs0[ri0[inodekey(m1)]].size ≥ 1, fs0[ri0[inodekey(m1)]].trunc? ∨ fs0[ri0[inodekey(m1)]].inode?, fs0[ri0[inodekey(m1)]].nlink ≠ 0 ∨ m1 = ROOT_INO ⊦ ⟪dent := negdentry(str); p_inode := mkinode (m1, inodenode(inodekey(m1), md0, true, fs0[ri0[inodekey(m1)]].nlink, fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[inodekey(m1)]].size - 1).meta, inodenode(inodekey(m1), md0, true, fs0[ri0[inodekey(m1)]].nlink, fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[inodekey(m1)]].size - 1).directory, inodenode(inodekey(m1), md0, true, fs0[ri0[inodekey(m1)]].nlink, fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[inodekey(m1)]].size - 1).nlink, inodenode(inodekey(m1), md0, true, fs0[ri0[inodekey(m1)]].nlink, fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[inodekey(m1)]].size - 1).nsubdirs, inodenode(inodekey(m1), md0, true, fs0[ri0[inodekey(m1)]].nlink, fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[inodekey(m1)]].size - 1).size); c_inode0 := mkinode (fs0[ri0[dentrykey(m1, str)]].ino, inodenode(inodekey(fs0[ri0[dentrykey(m1, str)]].ino), md, false, 0, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].nsubdirs, m2).meta, inodenode(inodekey(fs0[ri0[dentrykey(m1, str)]].ino), md, false, 0, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].nsubdirs, m2) .directory, inodenode(inodekey(fs0[ri0[dentrykey(m1, str)]].ino), md, false, 0, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].nsubdirs, m2).nlink, inodenode(inodekey(fs0[ri0[dentrykey(m1, str)]].ino), md, false, 0, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].nsubdirs, m2).nsubdirs, inodenode(inodekey(fs0[ri0[dentrykey(m1, str)]].ino), md, false, 0, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].nsubdirs, m2).size)⟫ ( ubifs-cons (fs0[adr1, inodenode(inodekey(m1), md0, true, fs0[ri0[inodekey(m1)]].nlink, fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[inodekey(m1)]].size - 1)] [adr2, dentrynode(dentrykey(m1, str), 0) ] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(m1, str)]].ino), md, false, 0, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].nsubdirs, m2) ], (ri0[inodekey(m1), adr1] -- dentrykey(m1, str))[inodekey(fs0[ri0[dentrykey(m1, str)]].ino), adr3], ro ++ key, fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 ') ∧ replay-cons-strong (fs0[adr1, inodenode(inodekey(m1), md0, true, fs0[ri0[inodekey(m1)]].nlink, fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[inodekey(m1)]].size - 1)] [adr2, dentrynode(dentrykey(m1, str), 0) ] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(m1, str)]].ino), md, false, 0, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].nsubdirs, m2) ], (ri0[inodekey(m1), adr1] -- dentrykey(m1, str))[inodekey(fs0[ri0[dentrykey(m1, str)]].ino), adr3], ro ++ key, fi, fo, ((log0 + adr1 ') + adr2 ') + adr3 ') ∧ file-node-cons (fs0[adr1, inodenode(inodekey(m1), md0, true, fs0[ri0[inodekey(m1)]].nlink, fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[inodekey(m1)]].size - 1)] [adr2, dentrynode(dentrykey(m1, str), 0) ] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(m1, str)]].ino), md, false, 0, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].nsubdirs, m2) ], (ri0[inodekey(m1), adr1] -- dentrykey(m1, str))[inodekey(fs0[ri0[dentrykey(m1, str)]].ino), adr3]) ∧ orphans-cons (fs0[adr1, inodenode(inodekey(m1), md0, true, fs0[ri0[inodekey(m1)]].nlink, fs0[ri0[inodekey(m1)]].nsubdirs, fs0[ri0[inodekey(m1)]].size - 1)] [adr2, dentrynode(dentrykey(m1, str), 0) ] [adr3, inodenode(inodekey(fs0[ri0[dentrykey(m1, str)]].ino), md, false, 0, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].nsubdirs, m2) ], (ri0[inodekey(m1), adr1] -- dentrykey(m1, str))[inodekey(fs0[ri0[dentrykey(m1, str)]].ino), adr3], ro ++ key)), fs0[ri0[dentrykey(m1, str)]].ino = ROOT_INO, fs0[ri0[dentrykey(m1, str)]].ino = 0, fs0[ri0[inodekey(m1)]].size = 0, adr1 = adr2, adr1 = adr3, adr2 = adr3, m1 = 0, fs0[ri0[inodekey(fs0[ri0[dentrykey(m1, str)]].ino)]].directory, adr3 ∈ fs0, adr2 ∈ fs0, adr1 ∈ fs0, inodekey(fs0[ri0[dentrykey(m1, str)]].ino) ∈ ro, inodekey(m1) ∈ ro

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Rule argument

Additional information