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Proof step 306 from proof refine-link (previous step)

fs[ri[dentrykey(ino, str)]].ino = m0, fs[ri[dentrykey(ino1, str)]].ino = m0, 0 = fs[ri[inodekey(m0)]].nsubdirs, fs[ri[dentrykey(ino0, str)]] = dentrynode(key, m0), fs[ri[dentrykey(ino0, str)]].dentry?, fs[ri[inodekey(ino)]].directory, fs[ri[inodekey(ino1)]].directory, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(ino0)]].directory, 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), ri[dentrykey(ino0, str)] ∈ fs, dentrykey(ino, str) ∈ ri, inodekey(ino) ∈ ri, inodekey(ino1) ∈ ri, inodekey(m0) ∈ ri, dentrykey(ino1, str) ∈ ri, inodekey(m) ∈ ri, inodekey(ino0) ∈ ri, dentrykey(ino0, str) ∈ ri, asynced → boolvar0, ∀ adr, adr0, adr1. adr ∈ fs ∨ adr0 ∈ fs ∨ adr1 ∈ fs ∨ adr = adr0 ∨ adr = adr1 ∨ adr0 = adr1, fs[ri[inodekey(m0)]].nlink ≠ 0 ∨ m0 = ROOT_INO, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO, fs[ri[inodekey(ino1)]].nlink ≠ 0 ∨ ino1 = ROOT_INO, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, links(ino0, abs-dirs(fs, ri)) ≠ ∅ ∨ ino0 = ROOT_INO, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO, links(m0, abs-dirs(fs, ri)) ≠ ∅ ∨ m0 = ROOT_INO ⊦ m = 0, m0 = 0, fs[ri[inodekey(m0)]].directory, dentrykey(m, str0) ∈ ri, ∃ ino2. inodekey(ino2) ∈ ri ∧ (links(ino2, abs-dirs(fs, ri)) ≠ ∅ ∨ ino2 = ROOT_INO) ∧ dentrykey(ino2, str) ∈ ri ∧ m0 = fs[ri[dentrykey(ino2, str)]].ino, fs[ri[inodekey(m0)]].nlink = 0 ∧ m0 ≠ ROOT_INO, fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO, fs[ri[inodekey(ino1)]].nlink = 0 ∧ ino1 ≠ ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 307:
fs[ri[dentrykey(ino, str)]].ino = fs[ri[dentrykey(ino1, str)]].ino, 0 = fs[ri[inodekey(fs[ri[dentrykey(ino1, str)]].ino)]].nsubdirs, fs[ri[dentrykey(ino0, str)]] = dentrynode(key, fs[ri[dentrykey(ino1, str)]].ino), fs[ri[inodekey(ino)]].directory, fs[ri[inodekey(ino1)]].directory, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(ino0)]].directory, 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), ri[dentrykey(ino0, str)] ∈ fs, dentrykey(ino, str) ∈ ri, inodekey(ino) ∈ ri, inodekey(ino1) ∈ ri, inodekey(fs[ri[dentrykey(ino1, str)]].ino) ∈ ri, dentrykey(ino1, str) ∈ ri, inodekey(m) ∈ ri, inodekey(ino0) ∈ ri, dentrykey(ino0, str) ∈ ri, asynced → boolvar0, ∀ adr, adr0, adr1. adr ∈ fs ∨ adr0 ∈ fs ∨ adr1 ∈ fs ∨ adr = adr0 ∨ adr = adr1 ∨ adr0 = adr1, fs[ri[inodekey(fs[ri[dentrykey(ino1, str)]].ino)]].nlink ≠ 0 ∨ fs[ri[dentrykey(ino1, str)]].ino = ROOT_INO, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO, fs[ri[inodekey(ino1)]].nlink ≠ 0 ∨ ino1 = ROOT_INO, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, links(ino0, abs-dirs(fs, ri)) ≠ ∅ ∨ ino0 = ROOT_INO, links(m, abs-dirs(fs, ri)) ≠ ∅ ∨ m = ROOT_INO, links(fs[ri[dentrykey(ino1, str)]].ino, abs-dirs(fs, ri)) ≠ ∅ ∨ fs[ri[dentrykey(ino1, str)]].ino = ROOT_INO ⊦ fs[ri[dentrykey(ino1, str)]].ino = 0, m = 0, fs[ri[inodekey(fs[ri[dentrykey(ino1, str)]].ino)]].directory, dentrykey(m, str0) ∈ ri, ∃ ino2. inodekey(ino2) ∈ ri ∧ (links(ino2, abs-dirs(fs, ri)) ≠ ∅ ∨ ino2 = ROOT_INO) ∧ dentrykey(ino2, str) ∈ ri ∧ fs[ri[dentrykey(ino1, str)]].ino = fs[ri[dentrykey(ino2, str)]].ino, fs[ri[inodekey(fs[ri[dentrykey(ino1, str)]].ino)]].nlink = 0 ∧ fs[ri[dentrykey(ino1, str)]].ino ≠ ROOT_INO, fs[ri[inodekey(m)]].nlink = 0 ∧ m ≠ ROOT_INO, fs[ri[inodekey(ino1)]].nlink = 0 ∧ ino1 ≠ ROOT_INO

Rule argument

Additional information

Used simplifier rules: ⊦ dentrynode(key, m).dentry?; (s)