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Proof step 132 from proof refine-evict (previous step)

fs[ri[inodekey(fs[ri[dentrykey(ino, str)]].ino)]].nlink = 0, 0 = # links(fs[ri[dentrykey(ino, str)]].ino, abs-dirs(fs, ri)), abs-dirs(fs, ri)[fs[ri[dentrykey(ino, str)]].ino] = mkdir(m0, md, m3, m4, entries), fs[ri[inodekey(ROOT_INO)]].directory, fo.inodes?, orphans(fs, ri).inodes?, 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(ROOT_INO) ∈ ri, dentrykey(ino, str) ∈ ri, inodekey(fs[ri[dentrykey(ino, str)]].ino) ∈ ri, inodekey(m) ∈ ri, fs[ri[inodekey(fs[ri[dentrykey(ino, str)]].ino)]].directory ∧ links(fs[ri[dentrykey(ino, str)]].ino, abs-dirs(fs, ri)) = ∅ → abs-children(fs[ri[dentrykey(ino, str)]].ino, fs, ri) = ∅, ¬ fs[ri[inodekey(fs[ri[dentrykey(ino, str)]].ino)]].directory → 0 = # links(fs[ri[dentrykey(ino, str)]].ino, abs-dirs(fs, ri)), asynced → boolvar, fs[ri[inodekey(fs[ri[dentrykey(ino, str)]].ino)]].directory → 0 = # links(fs[ri[dentrykey(ino, str)]].ino, abs-dirs(fs, ri)) ∧ fs[ri[inodekey(fs[ri[dentrykey(ino, str)]].ino)]].size = # abs-children(fs[ri[dentrykey(ino, str)]].ino, fs, ri) ∧ fs[ri[inodekey(fs[ri[dentrykey(ino, str)]].ino)]].nsubdirs = # subdirs(fs[ri[dentrykey(ino, str)]].ino, abs-dirs(fs, ri)), ∀ name. dentrykey(fs[ri[dentrykey(ino, str)]].ino, name) ∈ ri → inodekey(entries[name]) ∈ ri ∧ fs[ri[inodekey(entries[name])]].directory ∨ inodekey(entries[name]) ∈ ri ∧ ¬ fs[ri[inodekey(entries[name])]].directory, 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 ⊦ # links(fs[ri[dentrykey(ino, str)]].ino, fs, ri) = 0, fs[ri[dentrykey(ino, str)]].ino = ROOT_INO, links(fs[ri[dentrykey(ino, str)]].ino, fs, ri) = ∅, m = ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 133:
fs[ri[inodekey(fs[ri[dentrykey(ino, str)]].ino)]].nlink = 0, abs-dirs(fs, ri)[fs[ri[dentrykey(ino, str)]].ino] = mkdir(m0, md, m3, m4, entries), links(fs[ri[dentrykey(ino, str)]].ino, abs-dirs(fs, ri)) = ∅, fs[ri[inodekey(ROOT_INO)]].directory, orphans(fs, ri).inodes?, fo.inodes?, 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(fs[ri[dentrykey(ino, str)]].ino) ∈ ri, dentrykey(ino, str) ∈ ri, inodekey(ROOT_INO) ∈ ri, inodekey(ino) ∈ ri, fs[ri[inodekey(fs[ri[dentrykey(ino, str)]].ino)]].directory → abs-children(fs[ri[dentrykey(ino, str)]].ino, fs, ri) = ∅, asynced → boolvar, fs[ri[inodekey(fs[ri[dentrykey(ino, str)]].ino)]].directory → fs[ri[inodekey(fs[ri[dentrykey(ino, str)]].ino)]].size = # abs-children(fs[ri[dentrykey(ino, str)]].ino, fs, ri) ∧ fs[ri[inodekey(fs[ri[dentrykey(ino, str)]].ino)]].nsubdirs = # subdirs(fs[ri[dentrykey(ino, str)]].ino, abs-dirs(fs, ri)), ∀ name. dentrykey(fs[ri[dentrykey(ino, str)]].ino, name) ∈ ri → inodekey(entries[name]) ∈ ri ∧ fs[ri[inodekey(entries[name])]].directory ∨ inodekey(entries[name]) ∈ ri ∧ ¬ fs[ri[inodekey(entries[name])]].directory, 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 ⊦ # links(fs[ri[dentrykey(ino, str)]].ino, fs, ri) = 0, fs[ri[dentrykey(ino, str)]].ino = ROOT_INO, links(fs[ri[dentrykey(ino, str)]].ino, fs, ri) = ∅, m = ROOT_INO

Rule argument

Additional information

Used simplifier rules: ⊦ # ∅ = 0; (s)%size-zero-02: ⊦ # ls = 0 → ls = ∅; (forward) from specification set-basic[alink-set]