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Proof step 741 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? ⊦ adr1 = adr2, m = 0, fs0[ri0[inodekey(m)]].directory, adr1 ∈ fs0, adr2 ∈ fs0, m3 ≤ n0 ∧ m3 % VFS_PAGE_SIZE ≠ 0, 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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 742:
fs0[ri0[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO ↔ inodekey(m) ∈ ro, fs0[ri0[inodekey(m)]].inode?, ro.inodes?, fo.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(ri0), ri-inj(fi), ubifs-cons(fs0, ri0, ro, fi, fo, log0), ri0[inodekey(m)] ∈ fs0, inodekey(m) ∈ ri0, buf-opt.some? → # buf-opt.buf = VFS_PAGE_SIZE ⊦ adr1 = adr2, m = 0, fs0[ri0[inodekey(m)]].directory, adr2 ∈ fs0, adr1 ∈ fs0, ubifs-cons (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) ], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), min(n0, m3), ri0[inodekey(m), adr2]), ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ replay-cons-strong (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) ], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), min(n0, m3), ri0[inodekey(m), adr2]), ro, fi, fo, (log0 + adr1 ') + adr2 ') ∧ file-node-cons (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) ], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), min(n0, m3), ri0[inodekey(m), adr2])) ∧ orphans-cons (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) ], ri0[inodekey(m), adr2] \ datakeys(inodekey(m), min(n0, m3), ri0[inodekey(m), adr2]), ro), m3 ≤ n0 ∧ m3 % VFS_PAGE_SIZE ≠ 0

Rule argument

Additional information

Used simplifier rules: ⊦ ¬ inodenode(key, md, boolvar, m, m0, m1).trunc?; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).inode?; (s)