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Proof step 165 from proof inv-link (previous step)

c_inode.ino = fs[ri[dentrykey(ino, str)]].ino, c_inode.nlink = fs[ri[inodekey(c_inode.ino)]].nlink, c_inode.nsubdirs = fs[ri[inodekey(c_inode.ino)]].nsubdirs, fs[ri[dentrykey(ino, str)]].dentry?, fs[ri[inodekey(m)]].directory, fs[ri[inodekey(ino)]].directory, fo.inodes?, ro.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(fi), ri-inj(ri), ubifs-cons(fs, ri, ro, fi, fo, log), ri[dentrykey(ino, str)] ∈ fs, inodekey(ino) ∈ ri, inodekey(c_inode.ino) ∈ ri, inodekey(m) ∈ ri, dentrykey(ino, str) ∈ ri, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO ⊦ c_inode.directory, fs[ri[inodekey(c_inode.ino)]].directory, inodekey(c_inode.ino) ∈ ro, dentrykey(m, str0) ∈ ri, inodekey(m) ∈ ro, inodekey(ino) ∈ ro, ∃ ino0. inodekey(ino0) ∈ ri ∧ (fs[ri[inodekey(ino0)]].nlink ≠ 0 ∨ ino0 = ROOT_INO) ∧ ¬ inodekey(ino0) ∈ ro ∧ dentrykey(ino0, str) ∈ ri ∧ fs[ri[dentrykey(ino0, str)]].ino = c_inode.ino

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 166:
¬ boolvar, c_inode = mkinode(m0, md, boolvar, m1, m2, m3), m0 = fs[ri[dentrykey(ino, str)]].ino, m1 = fs[ri[inodekey(m0)]].nlink, m2 = fs[ri[inodekey(m0)]].nsubdirs, fs[ri[dentrykey(ino, str)]].dentry?, fs[ri[inodekey(ino)]].directory, fs[ri[inodekey(m)]].directory, 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), dentrykey(ino, str) ∈ ri, inodekey(m) ∈ ri, inodekey(m0) ∈ ri, inodekey(ino) ∈ ri, ri[dentrykey(ino, str)] ∈ fs, fs[ri[inodekey(ino)]].nlink ≠ 0 ∨ ino = ROOT_INO, fs[ri[inodekey(m)]].nlink ≠ 0 ∨ m = ROOT_INO ⊦ fs[ri[inodekey(m0)]].directory, inodekey(ino) ∈ ro, inodekey(m) ∈ ro, dentrykey(m, str0) ∈ ri, inodekey(m0) ∈ ro, ∃ ino0. inodekey(ino0) ∈ ri ∧ (fs[ri[inodekey(ino0)]].nlink ≠ 0 ∨ ino0 = ROOT_INO) ∧ ¬ inodekey(ino0) ∈ ro ∧ dentrykey(ino0, str) ∈ ri ∧ fs[ri[dentrykey(ino0, str)]].ino = m0

Rule argument

spec: inode name: elim seq: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2) subst: [inode, m, md, boolvar, m0, m1, m2] → [c_inode, m0, md, boolvar, m1, m2, m3]

Additional information

Used simplifier rules: ⊦ ( ( ( (m = inode.ino ∧ md = inode.meta) ∧ (boolvar ↔ inode.directory)) ∧ m0 = inode.nlink) ∧ m1 = inode.nsubdirs) ∧ m2 = inode.size ↔ inode = mkinode(m, md, boolvar, m0, m1, m2); (elim) Used terms: c_inode, m0, md, boolvar, m1, m2, m3