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

dent = old_dent, err = err0, fs[ri[inodekey(p_ino)]].directory, fo.inodes?, orphans(fs, ri).inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(p_ino) ∈ ri, asynced → boolvar, links(p_ino, abs-dirs(fs, ri)) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟪aubifs_lookup#(p_ino, ri, fi, orphans(fs, ri), fo, fs, log, boolvar; dent, err)⟫ ⟨afs_lookup#(p_ino, abs-dirs(fs, ri), abs-files(fs, ri), asynced; old_dent, err0)⟩ ((asynced → boolvar) ∧ dent = old_dent ∧ err = err0)

Heuristic weak unfold applied rule call right

And obtained the following new goals

Proof step 4:
boolvar0 ↔ boolvar, dent = old_dent, err = err0, ro = orphans(fs, ri), fs[ri[inodekey(p_ino)]].directory, orphans(fs, ri).inodes?, fo.inodes?, afs-cons(abs-dirs(fs, ri), abs-files(fs, ri)), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, orphans(fs, ri)), replay-cons-strong(fs, ri, orphans(fs, ri), fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), inodekey(p_ino) ∈ ri, asynced → boolvar, links(p_ino, abs-dirs(fs, ri)) ≠ ∅ ∨ 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⟫ ⟨afs_lookup#(p_ino, abs-dirs(fs, ri), abs-files(fs, ri), asynced; old_dent, err0)⟩ ((asynced → boolvar) ∧ dent = old_dent ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubifs_lookup#(P_INO, RI, FI, RO, FO, FS, LOG, CSYNCED; DENT, ERR) {if pre-lookup(P_INO, DENT, FS, RI, RO) then choose EXISTS, ND, KEY with true in {ERR := ESUCCESS; KEY := dentrykey(P_INO, DENT.name); aubifs_core_index_lookup# (KEY, RI, FI, RO, FO, FS, LOG, CSYNCED; EXISTS, ND; ERR); if ERR = ESUCCESS then if EXISTS then DENT := mkdentry(DENT.name, ND.ino), ERR := ESUCCESS else DENT := negdentry(DENT.name), ERR := ENOENT} else abort };