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Proof step 77 from proof inv-evict (previous step)

boolvar0 ↔ boolvar, fo.inodes?, ro.inodes?, file-node-cons(fs, ri), log-cons(log, fs), orphans-cons(fs, ri, ro), pre-evict(inode.ino, 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), inodekey(inode.ino) ∈ ri, ∀ ino. inodekey(ino) ∈ ro → links(ino, fs, ri) = ∅, ∀ ino. inodekey(ino) ∈ ro → dentrykeys(inodekey(ino), ri) = ∅ ⊦ inode.ino = ROOT_INO, ∃ boolvar, key. key = inodekey(inode.ino)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: ⊦ ubifs-cons(fs, ri, ro, fi, fo, log) ∧ key ∈ ro → key ∈ ri; (ss)% ⊦ valid-ino(ino, fs, ri) ↔ inodekey(ino) ∈ ri; (s)%⊦ pre-evict(ino, fs, ri, ro) ↔ valid-ino(ino, fs, ri) ∧ ino ≠ ROOT_INO ∧ (∀ ino. inodekey(ino) ∈ ri ∧ inodekey(ino) ∈ ro → dentrykeys(inodekey(ino), ri) = ∅) ∧ (∀ ino. inodekey(ino) ∈ ri ∧ inodekey(ino) ∈ ro → links(ino, fs, ri) = ∅); (s)