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Proof step 12 from proof inv-recover (previous step)

dirs = dirs0 \ orphans(dirs0, files1), files = files1 \ orphans(dirs0, files1), dom of < ino, afs-cons(dirs0, files1), of-cons(of, dirs0, files1) ⊦ [asynced := true, err := ESUCCESS or {dirs := ?, files := ?, asynced := ?; fail#(; ; err)}] (asynced ∧ afs-cons(dirs, files) → err = ESUCCESS → of-cons(∅, dirs, files))

Heuristic conditional right split applied rule or split right

And obtained the following new goals

Proof step 13:
dirs = dirs0 \ orphans(dirs0, files1), files = files1 \ orphans(dirs0, files1), dom of < ino, afs-cons(dirs0, files1), of-cons(of, dirs0, files1) ⊦ [asynced := true, err := ESUCCESS] (asynced ∧ afs-cons(dirs, files) → err = ESUCCESS → of-cons(∅, dirs, files))
Proof step 15:
dirs = dirs0 \ orphans(dirs0, files1), files = files1 \ orphans(dirs0, files1), dom of < ino, afs-cons(dirs0, files1), of-cons(of, dirs0, files1) ⊦ [dirs := ?, files := ?, asynced := ?; fail#(; ; err)] (asynced ∧ afs-cons(dirs, files) → err = ESUCCESS → of-cons(∅, dirs, files))

Proof step 12 from proof inv-recover (previous step)

Heuristic conditional right split applied rule or split right

And obtained the following new goals

Rule argument

Additional information