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Proof step 236 from proof inv-rename-new-reparent (previous step)

boolvar0 ↔ boolvar2, boolvar ↔ boolvar1, new_dent = negdentry(str0), new_parent_inode = mkinode(m0, md0, true, fs[ri[inodekey(m0)]].nlink, fs[ri[inodekey(m0)]].nsubdirs, fs[ri[inodekey(m0)]].size), old_child_inode = mkinode (fs[ri[dentrykey(m, str)]].ino, md1, boolvar2, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nlink, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].nsubdirs, m4), old_dent = mkdentry(str, fs[ri[dentrykey(m, str)]].ino), old_parent_inode = mkinode(m, md, true, fs[ri[inodekey(m)]].nlink, fs[ri[inodekey(m)]].nsubdirs, fs[ri[inodekey(m)]].size), old_dent.dentry?, fs[ri[dentrykey(m, str)]].dentry?, fs[ri[inodekey(m0)]].directory, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].inode?, ro.inodes?, fo.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro, fi, fo, log), ri[inodekey(fs[ri[dentrykey(m, str)]].ino)] ∈ fs, ri[dentrykey(m, str)] ∈ fs, inodekey(m) ∈ ri, inodekey(m0) ∈ ri, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri, dentrykey(m, str) ∈ ri, 1 ≤ fs[ri[inodekey(m)]].size, boolvar2 → 1 ≤ fs[ri[inodekey(m)]].nsubdirs, ¬ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory ∧ ¬ boolvar2 ∨ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory ∧ boolvar2 ∧ m4 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].size, fs[ri[inodekey(m0)]].nlink ≠ 0 ∨ m0 = ROOT_INO, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ fs[ri[inodekey(m)]].size = 0, m0 = m, inodekey(m) ∈ ro, dentrykey(m0, str0) ∈ ri, inodekey(m0) ∈ ro, old_parent_inode.nsubdirs ≥ (boolvar0 ⊃ 1;0) ∧ old_parent_inode.size ≥ 1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 237:
fs[ri[dentrykey(m, str)]].dentry?, fs[ri[inodekey(m0)]].directory, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].inode?, ro.inodes?, fo.inodes?, fs[ri[inodekey(m)]].nsubdirs < (boolvar2 ⊃ 1;0), file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), replay-cons-strong(fs, ri, ro, fi, fo, log), ri-inj(ri), ri-inj(fi), ubifs-cons(fs, ri, ro, fi, fo, log), ri[inodekey(fs[ri[dentrykey(m, str)]].ino)] ∈ fs, ri[dentrykey(m, str)] ∈ fs, inodekey(m) ∈ ri, inodekey(m0) ∈ ri, inodekey(fs[ri[dentrykey(m, str)]].ino) ∈ ri, dentrykey(m, str) ∈ ri, 1 ≤ fs[ri[inodekey(m)]].size, boolvar2 → 1 ≤ fs[ri[inodekey(m)]].nsubdirs, ¬ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory ∧ ¬ boolvar2 ∨ fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].directory ∧ boolvar2 ∧ m4 = fs[ri[inodekey(fs[ri[dentrykey(m, str)]].ino)]].size, fs[ri[inodekey(m0)]].nlink ≠ 0 ∨ m0 = ROOT_INO, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ fs[ri[inodekey(m)]].size = 0, m0 = m, inodekey(m) ∈ ro, dentrykey(m0, str0) ∈ ri, inodekey(m0) ∈ ro

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m ≤ n ↔ ¬ n < m; (ss)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).size = m2; (s)% ⊦ n ≥ m ↔ m ≤ n; (s)% ⊦ mkinode(m, md, boolvar, m0, m1, m2).nsubdirs = m1; (s)% ⊦ mkdentry(str, m).dentry?; (s)