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Proof step 10 from proof inv-propagate (previous step)

Pelem(a), p(a, c), rtc(n0, c, b), rtc(n0, c, b) ∧ Pelem(c) ∧ (∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b)) → Pelem(b), ∀ a, b, Pelem. rtc(n0, a, b) ∧ Pelem(a) ∧ (∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b)) → Pelem(b), ∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b) ⊦ Pelem(b)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
Pelem(a), p(a, c), rtc(n0, c, b), ∀ a, b, Pelem. rtc(n0, a, b) ∧ Pelem(a) ∧ (∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b)) → Pelem(b), ∀ a, b. Pelem(a) ∧ p(a, b) → Pelem(b) ⊦ Pelem(b), Pelem(c)

Proof step 10 from proof inv-propagate (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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