[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 739 from proof inv-truncate (previous step)

fs0[ri0[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, fs = fs0[adr1, truncnode(inodekey(m), min(n0, m3))] [adr2, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n0) ], key = inodekey(m), ks = datakeys(key, n, ri), log = (log0 + adr1 ') + adr2 ', m0 = m, md = md0, n = min(n0, m3), ri = ri0[inodekey(m), adr2], inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n0).inode?, fs0[ri0[inodekey(m)]].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), inodekey(m) ∈ ri0, ri0[inodekey(m)] ∈ fs0, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE, inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n0).trunc? ∨ inodenode(inodekey(m), md0, false, fs0[ri0[inodekey(m)]].nlink, fs0[ri0[inodekey(m)]].nsubdirs, n0).inode? ⊦ ⟪if false then buf-opt := some(inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n0).data)⟫ ( ubifs-cons (fs0[adr1, truncnode(inodekey(m0), min(n0, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n0) ], ri \ ks, ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ replay-cons-strong (fs0[adr1, truncnode(inodekey(m0), min(n0, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n0) ], ri \ ks, ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ file-node-cons (fs0[adr1, truncnode(inodekey(m0), min(n0, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n0) ], ri \ ks) ∧ orphans-cons (fs0[adr1, truncnode(inodekey(m0), min(n0, m3))] [adr2, inodenode(inodekey(m0), md, false, fs0[ri0[inodekey(m0)]].nlink, fs0[ri0[inodekey(m0)]].nsubdirs, n0) ], ri \ ks, ro)), adr1 = adr2, m = 0, fs0[ri0[inodekey(m)]].directory, adr1 ∈ fs0, adr2 ∈ fs0, m3 ≤ n0 ∧ m3 % VFS_PAGE_SIZE ≠ 0

Heuristic symbolic execution applied rule if negative right

And obtained the following new goals

Rule argument

pos: right 1

Additional information