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Proof step 572 from proof SII-loops (previous step)

〈if m = 0 then abort else tn0 := some(S _ (S _ K _ K) _ (S _ K _ K))〉 〈tn1 := tn0 ; if tn1 = none then { RED1(K _ (S _ (S _ K _ K) _ (S _ K _ K)); tn1): m ; if tn1 ≠ none then tn1 := some(tn1 .t _ (K _ (S _ (S _ K _ K) _ (S _ K _ K)))) else { RED1(K _ (S _ (S _ K _ K) _ (S _ K _ K)); tn1): m ; if tn1 ≠ none then tn1 := some(K _ (S _ (S _ K _ K) _ (S _ K _ K)) _ tn1 .t) } }〉 〈tn0 := tn1 ; if tn0 ≠ none then tn0 := some(tn0 .t _ (S _ K _ K _ (S _ (S _ K _ K) _ (S _ K _ K))))〉 〈if tn0 ≠ none then RED(tn0 .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) ⊦

Heuristic conditional left split applied rule if left

And obtained the following new goals

Rule argument

[fmapos-arg: pos: left 1]

Additional information

[[CONCRETESIMPRULES : ()]]