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Proof step 792 from proof refine-rename-overwrite-reparent-file (previous step)

m12 + 1 = fs[ri[inodekey(m0)]].nlink, 0 = fs[ri[inodekey(m0)]].nsubdirs, abs-dirs(fs, ri)[m4] = mkdir(m15, md0, m16, m17, entries0), fs[ri[inodekey(m)]] = inodenode(key3, md5, false, m10, 0, m13), fs[ri[inodekey(m4)]] = inodenode(key1, md3, true, m1, m3, m6), fs[ri[dentrykey(m9, str)]] = dentrynode(key, m), fs[ri[dentrykey(m4, str0)]] = dentrynode(key0, m0), fs[ri[inodekey(m9)]] = inodenode(key2, md4, true, m7, m8, m14 + 1), abs-dir(m9, fs, ri) = mkdir(m2, md, m5, m11, entries), fs[ri[inodekey(m9)]].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), inodekey(m) ∈ ri, ri[inodekey(m)] ∈ fs, ri[inodekey(m9)] ∈ fs, inodekey(m0) ∈ ri, ri[inodekey(m4)] ∈ fs, inodekey(m4) ∈ ri, ri[dentrykey(m4, str0)] ∈ fs, dentrykey(m4, str0) ∈ ri, ri[dentrykey(m9, str)] ∈ fs, dentrykey(m9, str) ∈ ri, inodekey(m9) ∈ ri, ⌊err0⌋ , m12 = 0 → links(m0, fs, ri) = ∅ ++ dentrykey(m4, str0), boolvar2 → boolvar0, links(m9, abs-dirs(fs, ri)) ≠ ∅ ∨ m9 = ROOT_INO, links(m4, abs-dirs(fs, ri)) ≠ ∅ ∨ m4 = ROOT_INO, m7 ≠ 0 ∨ m9 = ROOT_INO, m1 ≠ 0 ∨ m4 = ROOT_INO ⊦ m0 = ROOT_INO, m0 = 0, m4 = 0, m9 = m4, m9 = 0, fs[ri[inodekey(m0)]].directory, str0 ∈ entries0 ∧ m0 = entries0[str0] ∧ ¬ fs[ri[inodekey(entries[str])]].directory ∧ str ∈ entries ∧ m = entries[str] ∧ m7 = m5 ∧ m14 + 1 = m2 ∧ m8 = m11 ∧ m1 = m16 ∧ m6 = m15 ∧ m3 = m17 ∧ m10 = fs[ri[inodekey(entries[str])]].nlink, m1 = 0 ∧ m4 ≠ ROOT_INO, m7 = 0 ∧ m9 ≠ ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ dentrynode(key, m).ino = m; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).nsubdirs = m0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + n = m + n0 ↔ n = n0; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).size = m1; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).nlink = m; (s)% ⊦ str ∈ abs-children(ino, fs, ri) ↔ dentrykey(ino, str) ∈ ri; (s)%⊦ dentrykey(ino, str) ∈ ri → abs-children(ino, fs, ri)[str] = fs[ri[dentrykey(ino, str)]].ino; (s)% ⊦ inodenode(key, md, boolvar, m, m0, m1).directory ↔ boolvar; (s)%⊦ mkdir(m, md, m0, m1, entries) = mkdir(m2, md0, m3, m4, entries0) ↔ m = m2 ∧ md = md0 ∧ m0 = m3 ∧ m1 = m4 ∧ entries = entries0; (ws)%⊦ abs-dir(ino, fs, ri) = mkdir (fs[ri[inodekey(ino)]].size, fs[ri[inodekey(ino)]].meta, fs[ri[inodekey(ino)]].nlink, fs[ri[inodekey(ino)]].nsubdirs, abs-children(ino, fs, ri)); (s)