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Proof step 502 from proof inv-rename-overwrite-keep-parent (previous step)

n0 + (boolvar3 ⊃ 1;0) = fs[ri[inodekey(m)]].nsubdirs, m0 + 1 = fs[ri[inodekey(m)]].size, m8 + 1 = fs[ri[inodekey(fs[ri[dentrykey(m, str0)]].ino)]].nlink, ¬ fs[ri[inodekey(fs[ri[dentrykey(m, str0)]].ino)]].directory ↔ ¬ boolvar, fs[ri[inodekey(m2)]] = inodenode(key1, md0, boolvar, m5, m9, m10), fs[ri[dentrykey(m, str)]] = dentrynode(key0, m2), adr5 = adr1, adr6 = adr2, key = inodekey(fs[ri[dentrykey(m, str0)]].ino), m1 = fs[ri[inodekey(m)]].nlink, m4 = fs[ri[dentrykey(m, str0)]].ino, m7 = fs[ri[inodekey(fs[ri[dentrykey(m, str0)]].ino)]].nsubdirs, nd = inodenode(key, md1, boolvar2, m8, m7, m6), nd0 = inodenode(inodekey(m), md, true, m1, n0, m0), nd1 = dentrynode(dentrykey(m, new_dent.name), mkdentry(str, m2).ino), nd2 = dentrynode(dentrykey(m, str), 0), new_dent = mkdentry(str0, fs[ri[dentrykey(m, str0)]].ino), mkdentry(str, m2).dentry?, fs[ri[inodekey(m)]].directory, ro.inodes?, fo.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro, fi, fo, log), ri[inodekey(m2)] ∈ fs, ri[dentrykey(m, str)] ∈ fs, inodekey(m) ∈ ri, inodekey(fs[ri[dentrykey(m, str0)]].ino) ∈ ri, dentrykey(m, str0) ∈ ri, inodekey(m2) ∈ ri, dentrykey(m, str) ∈ ri, fs[ri[inodekey(fs[ri[dentrykey(m, str0)]].ino)]].directory → dentrykeys(inodekey(fs[ri[dentrykey(m, str0)]].ino), ri) = ∅, m8 = 0 → links(fs[ri[dentrykey(m, str0)]].ino, fs, ri) = ∅ ++ dentrykey(m, str0), ¬ boolvar ∧ ¬ boolvar2 ∨ fs[ri[inodekey(fs[ri[dentrykey(m, str0)]].ino)]].directory ∧ boolvar2 ∧ m6 = fs[ri[inodekey(fs[ri[dentrykey(m, str0)]].ino)]].size, ¬ boolvar ∧ ¬ boolvar3 ∨ boolvar ∧ boolvar3 ∧ m3 = m10, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ fs[ri[dentrykey(m, str0)]].ino = ROOT_INO, mkdentry(str, m2) = mkdentry(str0, fs[ri[dentrykey(m, str0)]].ino), inodekey(m) ∈ ro, ri-cons(ri, fs) ∧ node-cons(nd2.key, nd2) ∧ node-cons(nd1.key, nd1) ∧ node-cons(nd0.key, nd0) ∧ node-cons(nd.key, nd)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ ROOT_INO ≠ 0; (s)% ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) → ¬ inodekey(0) ∈ ri; (s)% ⊦ inodekey(m).ino = m; (s)% ⊦ inodekey(m).inode?; (s)%⊦ node-cons(key0, inodenode(key1, md, boolvar, n, n0, m)) ↔ key0.inode? ∧ key0.ino ≠ 0; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).key = key; (s)% ⊦ mkdentry(str, m).ino = m; (s)% ⊦ mkdentry(str, m).name = str; (s)% ⊦ dentrykey(m, str).dentry?; (s)% ⊦ node-cons(key0, dentrynode(key1, ino)) ↔ key0.dentry?; (s)% ⊦ dentrynode(key, m).key = key; (s)% ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) → ri-cons(ri, fs); (ss)% ⊦ mkdentry(str, m).dentry?; (s)