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Proof step 33 from proof refine-unlink (previous step)

fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink = 1, fs[ri[inodekey(ROOT_INO)]].directory, fs[ri[inodekey(m)]].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(ROOT_INO) ∈ ri, dentrykey(m, str) ∈ ri, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri, inodekey(m) ∈ ri, asynced → boolvar, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri ∧ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory ∧ fs[ri[dentrykey(m, str)]].ino ≠ ROOT_INO ∧ links(fs[ri[dentrykey(m, str)]].ino, abs-dirs(fs, ri)) = ∅ → abs-children(fs[ri[dentrykey(m, str)]].ino, fs, ri) = ∅, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri ∧ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory → fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink = # links(fs[ri[dentrykey(m, str)]].ino, abs-dirs(fs, ri)) ∧ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink ≤ 1 ∧ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].size = # abs-children(fs[ri[dentrykey(m, str)]].ino, fs, ri) ∧ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs = # subdirs(fs[ri[dentrykey(m, str)]].ino, abs-dirs(fs, ri)), inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri ∧ ¬ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory → fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink = # links(fs[ri[dentrykey(m, str)]].ino, abs-dirs(fs, ri)), ∀ name. inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri ∧ dentrykey(fs[ri[dentrykey(m, str)]].ino, name) ∈ ri → inodekey(abs-dirs(fs, ri)[fs[ri[dentrykey(m, str)]].ino].entries[name]) ∈ ri ∧ fs[ri[inodekey(abs-dirs(fs, ri)[fs[ri[dentrykey(m, str)]].ino].entries[name])]].directory ∨ inodekey(abs-dirs(fs, ri)[fs[ri[dentrykey(m, str)]].ino].entries[name]) ∈ ri ∧ ¬ fs[ri[inodekey(abs-dirs(fs, ri)[fs[ri[dentrykey(m, str)]].ino].entries[name])]].directory, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ links(fs[ri[dentrykey(m, str)]].ino, fs, ri) = ∅ ++ dentrykey(m, str), fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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