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Proof step 98 from proof refine-evict (previous step)

fs[ri[inodekey(ino)]].nlink = 0, 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(ino) ∈ ri, inodekey(m) ∈ ri, asynced → boolvar, fs[ri[inodekey(m)]].directory ∧ m2 = fs[ri[inodekey(m)]].size ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ ¬ fs[ri[inodekey(m)]].directory ∧ m1 = 0 ∧ ¬ boolvar0 ⊦ # dentrykeys(inodekey(ino), ri) = 0, ino = ROOT_INO, m = ROOT_INO, ∀ key. key ∈ dentrykeys(inodekey(ino), ri) ↔ key ∈ ∅

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 99:
fs[ri[inodekey(key.ino)]].nlink = 0, key.dentry?, 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(m) ∈ ri, inodekey(key.ino) ∈ ri, key ∈ ri, asynced → boolvar, fs[ri[inodekey(m)]].directory ∧ m2 = fs[ri[inodekey(m)]].size ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ boolvar0 ∨ ¬ fs[ri[inodekey(m)]].directory ∧ m1 = 0 ∧ ¬ boolvar0 ⊦ # dentrykeys(inodekey(key.ino), ri) = 0, key.ino = ROOT_INO, dentrykeys(inodekey(key.ino), ri) = ∅, m = ROOT_INO

Rule argument

Additional information

Used simplifier rules: size-zero-01: ⊦ ks ≠ ∅ → # ks ≠ 0; (forward) from specification set-basic[node-index]%size-zero: ⊦ # ks ≠ 0 → ks ≠ ∅; (forward) from specification set-basic[node-index]% ⊦ ¬ key ∈ ∅; (s)% ⊦ inodekey(m).ino = m; (s)% ⊦ inodekey(m).inode?; (s)%⊦ key ∈ dentrykeys(key0, ri) ↔ key ∈ ri ∧ key.dentry? ∧ key0.inode? ∧ key.ino = key0.ino; (s)