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Proof step 34 from proof termination-RED1 (previous step)

〈RED1(t1; tn)〉 tn = tn0, ∀ t0. #(t0) < #(t1 _ t2) → (¬ hasS(t0) → 〈RED1(t0; tn)〉 (tn ≠ none → ¬ hasS(tn) ∧ #(tn) < #(t0))), ¬ hasS(t1), ¬ hasS(t2), ¬ (ap(t1) ∧ t1 .1 = K ∧ value(t1 .2) ∧ value(t2)), ¬ (ap(t1) ∧ ap(t1 .1) ∧ t1 .1 .1 = S), tn0 ≠ none → ¬ hasS(tn0) ∧ #(tn0) < #(t1), tn0 ≠ none ⊦ 〈tn0 := some(tn0 .t _ t2)〉 (tn0 ≠ none → ¬ hasS(tn0) ∧ ¬ #(t1) + #(t2) < #(tn0))

Heuristic symbolic execution applied rule assign right

And obtained the following new goals

Proof step 33:
〈RED1(t1; tn)〉 tn = tn0, ∀ t0. #(t0) < #(t1 _ t2) → (¬ hasS(t0) → 〈RED1(t0; tn)〉 (tn ≠ none → ¬ hasS(tn) ∧ #(tn) < #(t0))), ¬ hasS(t1), ¬ hasS(t2), ¬ (ap(t1) ∧ t1 .1 = K ∧ value(t1 .2) ∧ value(t2)), ¬ (ap(t1) ∧ ap(t1 .1) ∧ t1 .1 .1 = S), tn0 ≠ none → ¬ hasS(tn0) ∧ #(tn0) < #(t1), tn0 ≠ none, ¬ (some(tn0 .t _ t2) ≠ none → ¬ hasS(some(tn0 .t _ t2)) ∧ ¬ #(t1) + #(t2) < #(some(tn0 .t _ t2))) ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]