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Proof step 3 from proof inv-lookup (previous step)

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

Heuristic nonrec nowhile calls applied rule call right

And obtained the following new goals

Proof step 4:
boolvar0 ↔ boolvar, fs[ri[inodekey(p_ino)]].directory, fo.inodes?, ro.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(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log), inodekey(p_ino) ∈ ri, fs[ri[inodekey(p_ino)]].nlink ≠ 0 ∨ p_ino = ROOT_INO ⊦ ⟪if pre-lookup(p_ino, dent, fs, ri, ro) then choose boolvar, nd, key with true in {err := ESUCCESS; key := dentrykey(p_ino, dent.name); aubifs_core_index_lookup#(key, ri, fi, ro, fo, fs, log, boolvar0; boolvar, nd; err); if err = ESUCCESS then if boolvar then dent := mkdentry(dent.name, nd.ino), err := ESUCCESS else dent := negdentry(dent.name), err := ENOENT} else abort⟫ true, inodekey(p_ino) ∈ ro

Rule argument

pos: right 1

Additional information

Used simplifier rules: lookup: ⊦ ;