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Proof step 136 from proof refine-evict (previous step)

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), 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, ∀ alink. ¬ inodekey(alink.pino) ∈ ri ∨ ¬ dentrykey(alink.pino, alink.name) ∈ ri ∨ fs[ri[dentrykey(ino, str)]].ino ≠ fs[ri[dentrykey(alink.pino, alink.name)]].ino, 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

User applied rule all left

And closed the goal!

Rule argument

pos: left 22 terms: mklink(ino, str) abort: F discard: T computed: F

Additional information

Used simplifier rules: ⊦ mklink(m, str).pino = m; (s)% ⊦ mklink(m, str).name = str; (s) Used terms: mklink(ino, str)