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Proof step 43 from proof refine-lookup (previous step)

dent = old_dent, dent0 = old_dent, dirs = abs-dirs(fs, ri), err = err1, files = abs-files(fs, ri), 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 ⊦ ⟨fail#(; ; err)⟩ ((asynced → boolvar1) ∧ negdentry(dent0.name) = dent ∧ ENOENT = err), ⟨if dent.name ∈ dirs[p_ino].entries then {dent := mkdentry(dent.name, dirs[p_ino].entries[dent.name]); err := ESUCCESS} else {dent := negdentry(dent.name); err := ENOENT}⟩ ((asynced → boolvar1) ∧ negdentry(dent0.name) = dent ∧ ENOENT = err), dentrykey(p_ino, old_dent.name) ∈ ri

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
dent = old_dent, 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, ¬ dentrykey(p_ino, old_dent.name) ∈ 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 ⊦ ⟨fail#(; ; err)⟩ ((asynced → boolvar1) ∧ negdentry(old_dent.name) = old_dent ∧ ENOENT = err), ⟨if old_dent.name ∈ abs-dir(p_ino, fs, ri).entries then {dent := mkdentry(dent.name, abs-dir(p_ino, fs, ri).entries[dent.name]); err := ESUCCESS} else {dent := negdentry(dent.name); err := ENOENT}⟩ ((asynced → boolvar1) ∧ negdentry(old_dent.name) = dent ∧ ENOENT = err)

Rule argument

Additional information

Used simplifier rules: ⊦ inodekey(ino) ∈ ri ∧ fs[ri[inodekey(ino)]].directory → abs-dirs(fs, ri)[ino] = abs-dir(ino, fs, ri); (s)