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Proof step 94 from proof recovery (previous step)

replay(log0, fs0, fi0, fo0) = replay-log(log0, fs0, fi0 ⊖ fo0) ⊖ ∅, replay-log(log0, fs0, fi0 ⊖ fo0) = ri1 ⊖ orphans(fs0, ri1), fo0.inodes?, orphans(fs0, ri1).inodes?, afs-cons(abs-dirs(fs0, ri1), abs-files(fs0, ri1)), file-node-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0)), file-node-cons(fs0, ri1), log-cons(log0, fs0), orphans-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0), ∅), orphans-cons(fs0, ri1, orphans(fs0, ri1)), replay-safe(log0, fs0, fi0 ⊖ fo0), ri-inj(replay-log(log0, fs0, fi0 ⊖ fo0)), ri-inj(fi0), ri-inj(ri1), ubifs-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0), ∅, fi0, fo0, log0), ubifs-cons(fs0, ri1, orphans(fs0, ri1), fi0, fo0, log0) ⊦ ( inodekey(ino) ∈ ri1 ∧ ¬ fs0[ri1[inodekey(ino)]].directory ∧ (fs0[ri1[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO) ↔ inodekey(ino) ∈ replay-log(log0, fs0, fi0 ⊖ fo0) ∧ ¬ fs0[replay-log(log0, fs0, fi0 ⊖ fo0)[inodekey(ino)]].directory) ∧ ( inodekey(ino) ∈ ri1 ∧ ¬ fs0[ri1[inodekey(ino)]].directory ∧ (fs0[ri1[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO) → (abs-files(fs0, ri1) \ abs-keys(orphans(fs0, ri1)))[ino] = mkfile (fs0[replay-log(log0, fs0, fi0 ⊖ fo0)[inodekey(ino)]].size, fs0[replay-log(log0, fs0, fi0 ⊖ fo0)[inodekey(ino)]].meta, fs0[replay-log(log0, fs0, fi0 ⊖ fo0)[inodekey(ino)]].nlink, abs-content(ino, fs0, replay-log(log0, fs0, fi0 ⊖ fo0))))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 95:
replay-log(log0, fs0, fi0 ⊖ fo0) = ri1 ⊖ orphans(fs0, ri1), orphans(fs0, ri1).inodes?, fo0.inodes?, afs-cons(abs-dirs(fs0, ri1), abs-files(fs0, ri1)), file-node-cons(fs0, ri1), file-node-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0)), log-cons(log0, fs0), orphans-cons(fs0, ri1, orphans(fs0, ri1)), orphans-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0), ∅), replay-safe(log0, fs0, fi0 ⊖ fo0), ri-inj(ri1), ri-inj(fi0), ri-inj(replay-log(log0, fs0, fi0 ⊖ fo0)), ubifs-cons(fs0, ri1, orphans(fs0, ri1), fi0, fo0, log0), ubifs-cons(fs0, replay-log(log0, fs0, fi0 ⊖ fo0), ∅, fi0, fo0, log0) ⊦ ( inodekey(ino) ∈ ri1 ∧ ¬ fs0[ri1[inodekey(ino)]].directory ∧ (fs0[ri1[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO) ↔ inodekey(ino) ∈ replay-log(log0, fs0, fi0 ⊖ fo0) ∧ ¬ fs0[replay-log(log0, fs0, fi0 ⊖ fo0)[inodekey(ino)]].directory) ∧ ( inodekey(ino) ∈ ri1 ∧ ¬ fs0[ri1[inodekey(ino)]].directory ∧ (fs0[ri1[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO) → (abs-files(fs0, ri1) \ abs-keys(orphans(fs0, ri1)))[ino] = mkfile (fs0[replay-log(log0, fs0, fi0 ⊖ fo0)[inodekey(ino)]].size, fs0[replay-log(log0, fs0, fi0 ⊖ fo0)[inodekey(ino)]].meta, fs0[replay-log(log0, fs0, fi0 ⊖ fo0)[inodekey(ino)]].nlink, abs-content(ino, fs0, replay-log(log0, fs0, fi0 ⊖ fo0))))

Rule argument

Additional information

Used simplifier rules: ⊦ ri ⊖ ∅ = ri; (s)% ⊦ replay(log, fs, fi, fo) = replay-log(log, fs, fi ⊖ fo); (s)