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Proof step 9 from proof refine-check-commit (previous step)

dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), ro = orphans(fs, ri), 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-cons(ri, fs), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), asynced → boolvar ⊦ ⟪if ri-cons(ri, fs) then { {choose as with as ∩ range ri = ∅ in fi := ri, fo := ro, fs := fs \ as, log := [], err := ESUCCESS; boolvar := true} or {fail#(; ; err); boolvar := ?}} else abort⟫ ⟨afs_check_commit#(dirs, files; err0; asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro) ∧ (asynced → boolvar) ∧ err = err0)

Heuristic symbolic execution applied rule if positive right

And obtained the following new goals

Proof step 10:
dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), ro = orphans(fs, ri), 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-cons(ri, fs), ri-inj(fi), ri-inj(ri), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), asynced → boolvar ⊦ ⟪ {choose as with as ∩ range ri = ∅ in fi := ri, fo := ro, fs := fs \ as, log := [], err := ESUCCESS; boolvar := true} or {fail#(; ; err); boolvar := ?}⟫ ⟨afs_check_commit#(dirs, files; err0; asynced)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ orphans(abs-dirs(fs, ri), abs-files(fs, ri)) = abs-keys(ro) ∧ (asynced → boolvar) ∧ err = err0)

Rule argument

pos: right 1

Additional information

Used simplifier rules: ⊦ ri-cons(ri, fs) → ( ri-cons(ri0, fs0) ↔ (∀ key. (key ∈ ri → ri[key] ∈ fs ∧ key-cons(key, fs[ri[key]])) → key ∈ ri0 → ri0[key] ∈ fs0 ∧ key-cons(key, fs0[ri0[key]]))); (ss)