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Proof step 3 from proof new-exists (previous step)

∃ ino. ino ≠ 0 ∧ (∀ n. n ∈ dirs ∨ n ∈ files → n < ino) ⊦ ∃ ino. ino ≠ 0 ∧ ¬ ino ∈ dirs ∧ ¬ ino ∈ files

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information