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Proof step 565 from proof SII-loops (previous step)

〈tn1 := some(tn1 .t _ (S _ K _ K _ (S _ (S _ K _ K) _ (S _ K _ K))))〉〈if tn1 ≠ none then RED(tn1 .t; t3): 2 + m else t3 := K _ (S _ (S _ K _ K) _ (S _ K _ K)) _ (K _ (S _ (S _ K _ K) _ (S _ K _ K))) _ (S _ K _ K _ (S _ (S _ K _ K) _ (S _ K _ K)))〉 t3 = t, ∀ kappa0, t. kappa0 < ((((m + 1) + 1) + 1) + 1) + 1 → (〈RED(S _ (S _ K _ K) _ (S _ K _ K) _ (S _ (S _ K _ K) _ (S _ K _ K)); t3): kappa0 〉 t3 = t → false), m ≠ 0, tn = some(S _ (S _ K _ K) _ (S _ K _ K)), tn1 = tn ⊦

Heuristic symbolic execution applied rule assign left

And obtained the following new goals

Proof step 564:
〈if some(tn1 .t _ (S _ K _ K _ (S _ (S _ K _ K) _ (S _ K _ K)))) ≠ none then RED(some(tn1 .t _ (S _ K _ K _ (S _ (S _ K _ K) _ (S _ K _ K)))) .t; t3): 2 + m else t3 := K _ (S _ (S _ K _ K) _ (S _ K _ K)) _ (K _ (S _ (S _ K _ K) _ (S _ K _ K))) _ (S _ K _ K _ (S _ (S _ K _ K) _ (S _ K _ K)))〉 t3 = t, ∀ kappa0, t. kappa0 < ((((m + 1) + 1) + 1) + 1) + 1 → (〈RED(S _ (S _ K _ K) _ (S _ K _ K) _ (S _ (S _ K _ K) _ (S _ K _ K)); t3): kappa0 〉 t3 = t → false), m ≠ 0, tn = some(S _ (S _ K _ K) _ (S _ K _ K)), tn1 = tn ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]