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Proof step 9 from proof refine-lookup (previous step)

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 → boolvar1, links(p_ino, abs-dirs(fs, ri)) ≠ ∅ ∨ p_ino = ROOT_INO, fs[ri[inodekey(p_ino)]].nlink ≠ 0 ∨ p_ino = ROOT_INO ⊦ ⟪aubifs_core_index_lookup#(dentrykey(p_ino, old_dent.name), ri, fi, orphans(fs, ri), fo, fs, log, boolvar1; boolvar, nd; err); dent := old_dent; if err = ESUCCESS then if boolvar then dent := mkdentry(dent.name, nd.ino), err := ESUCCESS else dent := negdentry(dent.name), err := ENOENT⟫ ⟨afs_lookup#(p_ino, abs-dirs(fs, ri), abs-files(fs, ri), asynced; old_dent, err0)⟩ ((asynced → boolvar1) ∧ dent = old_dent ∧ err = err0)

User applied rule call right

And obtained the following new goals

Proof step 10:
boolvar0 ↔ boolvar1, key = dentrykey(p_ino, old_dent.name), 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 → boolvar1, fs[ri[inodekey(p_ino)]].nlink ≠ 0 ∨ p_ino = ROOT_INO, links(p_ino, abs-dirs(fs, ri)) ≠ ∅ ∨ p_ino = ROOT_INO ⊦ ⟪if ri-cons(ri, fs) then {fail_or_success#(; ; err); if err = ESUCCESS then {boolvar := key ∈ ri; if boolvar then nd := fs[ri[key]] else nd := ?} else boolvar := ?, nd := ?} else abort; dent := old_dent; if err = ESUCCESS then if boolvar then dent := mkdentry(dent.name, nd.ino), err := ESUCCESS else dent := negdentry(dent.name), err := ENOENT⟫ ⟨afs_lookup#(p_ino, abs-dirs(fs, ri), abs-files(fs, ri), asynced; old_dent, err0)⟩ ((asynced → boolvar1) ∧ dent = old_dent ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: aubifs_core_index_lookup# (KEY, RI, FI, RO, FO, FS, LOG, CSYNCED; EXISTS, ND; ERR) {if ri-cons(RI, FS) then {fail_or_success#(; ; ERR); if ERR = ESUCCESS then {EXISTS := KEY ∈ RI; if EXISTS then ND := FS[RI[KEY]] else ND := ?} else EXISTS := ?, ND := ?} else abort };