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Proof step 459 from proof refine-rename-new-keep-parent (previous step)

fs[ri[dentrykey(m3, str)]] = dentrynode(key, m), fs[ri[inodekey(m3)]] = inodenode(key0, md1, boolvar, m4, m5, m6), boolvar, dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), new_dent_inode0 = new_dent_inode, new_inode = mkinode(m3, md0, true, m4, m5, m6), old_dent0 = mkdentry(str, m), old_dent1 = negdentry(str0), old_dent_inode = mkinode(m, md, boolvar1, m0, m1, m2), old_inode = mkinode(m3, md0, true, m4, m5, m6), fs[ri[inodekey(m3)]].inode?, orphans(fs, ri).inodes?, fo.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-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), dentrykey(m3, str) ∈ ri, ri[dentrykey(m3, str)] ∈ fs, inodekey(m) ∈ ri, ri[inodekey(m3)] ∈ fs, inodekey(m3) ∈ ri, 1 ≤ m6, ⌊err0⌋ , boolvar1 → 1 ≤ m5, boolvar3 → boolvar0, m4 ≠ 0 ∨ m3 = ROOT_INO, links(m3, abs-dirs(fs, ri)) ≠ ∅ ∨ m3 = ROOT_INO, ¬ fs[ri[inodekey(m)]].directory ∧ ¬ boolvar1 ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∨ fs[ri[inodekey(m)]].directory ∧ boolvar1 ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ m2 = fs[ri[inodekey(m)]].size, fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m2 = fs[ri[inodekey(m)]].size ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ boolvar1 ∨ ¬ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar1 ⊦ ⟨afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent0, old_dent1, err1, dirs, files; boolvar3)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (boolvar3 → boolvar2) ∧ mkinode(m3, md0, true, m4, m5, m6) = old_inode ∧ mkinode(m3, md0, true, m4, m5, m6) = new_inode ∧ mkinode(m, md, boolvar1, m0, m1, m2) = old_dent_inode ∧ new_dent_inode0 = new_dent_inode ∧ mkdentry(str, m) = old_dent0 ∧ negdentry(str0) = old_dent1 ∧ err0 = err1), m6 = 0, dentrykey(m3, str0) ∈ ri, m4 = 0 ∧ m3 ≠ ROOT_INO

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 460:
fs[ri[dentrykey(m3, str)]] = dentrynode(key, m), fs[ri[inodekey(m3)]] = inodenode(key0, md1, true, m4, m5, m6), dirs = abs-dirs(fs, ri), files = abs-files(fs, ri), new_dent_inode0 = new_dent_inode, new_inode = mkinode(m3, md0, true, m4, m5, m6), old_dent0 = mkdentry(str, m), old_dent1 = negdentry(str0), old_dent_inode = mkinode(m, md, boolvar1, m0, m1, m2), old_inode = mkinode(m3, md0, true, m4, m5, m6), m6 ≠ 0, orphans(fs, ri).inodes?, fo.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-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, orphans(fs, ri), fi, fo, log), dentrykey(m3, str) ∈ ri, ri[dentrykey(m3, str)] ∈ fs, inodekey(m) ∈ ri, ri[inodekey(m3)] ∈ fs, inodekey(m3) ∈ ri, 1 ≤ m6, ⌊err0⌋ , ¬ dentrykey(m3, str0) ∈ ri, boolvar1 → 1 ≤ m5, boolvar3 → boolvar0, m4 ≠ 0 ∨ m3 = ROOT_INO, links(m3, abs-dirs(fs, ri)) ≠ ∅ ∨ m3 = ROOT_INO, ¬ fs[ri[inodekey(m)]].directory ∧ ¬ boolvar1 ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∨ fs[ri[inodekey(m)]].directory ∧ boolvar1 ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ m2 = fs[ri[inodekey(m)]].size, fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m2 = fs[ri[inodekey(m)]].size ∧ m1 = fs[ri[inodekey(m)]].nsubdirs ∧ boolvar1 ∨ ¬ fs[ri[inodekey(m)]].directory ∧ m0 = fs[ri[inodekey(m)]].nlink ∧ m1 = 0 ∧ ¬ boolvar1 ⊦ ⟨afs_rename#(; old_inode, new_inode, old_dent_inode, new_dent_inode, old_dent0, old_dent1, err1, dirs, files; boolvar3)⟩ ( dirs = abs-dirs(fs, ri) ∧ files = abs-files(fs, ri) ∧ (boolvar3 → boolvar2) ∧ mkinode(m3, md0, true, m4, m5, m6) = old_inode ∧ mkinode(m3, md0, true, m4, m5, m6) = new_inode ∧ mkinode(m, md, boolvar1, m0, m1, m2) = old_dent_inode ∧ new_dent_inode0 = new_dent_inode ∧ mkdentry(str, m) = old_dent0 ∧ negdentry(str0) = old_dent1 ∧ err0 = err1), m4 = 0 ∧ m3 ≠ ROOT_INO

Rule argument

Additional information

Used simplifier rules: ⊦ inodenode(key, md, boolvar, m, m0, m1).inode?; (s)%not-zero: 0 < n ⊦ (* n) ≤ m → m ≠ 0; (forward) from specification nat