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Proof step 2 from proof inv-lookup (previous step)

fo.inodes?, ro.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), pre-lookup(p_ino, dent, fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log) ⊦ ⟪aubifs_lookup#(p_ino, ri, fi, ro, fo, fs, log, boolvar; dent, err)⟫ true

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
fs[ri[inodekey(p_ino)]].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), inodekey(p_ino) ∈ ri, ¬ inodekey(p_ino) ∈ ro, fs[ri[inodekey(p_ino)]].nlink ≠ 0 ∨ p_ino = ROOT_INO ⊦ ⟪aubifs_lookup#(p_ino, ri, fi, ro, fo, fs, log, boolvar; dent, err)⟫ true

Rule argument

Additional information

Used simplifier rules: ⊦ valid-dir-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory; (s)%⊦ valid-parent-ino(ino, fs, ri, ro) ↔ ( valid-dir-ino(ino, fs, ri) ∧ (fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO)) ∧ ¬ inodekey(ino) ∈ ro; (s)%⊦ pre-lookup(p_ino, dent, fs, ri, ro) ↔ valid-parent-ino(p_ino, fs, ri, ro); (s)