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Proof step 42 from proof kappa-TOPRED (previous step)

〈TOPRED(t; tn)〉 tn = tn0, tn0 ≠ tn1, tn2 = tn, n ≠ 0, ¬ (ap(t) ∧ ap(t .1) ∧ t .1 .1 = K ∧ value(t .1 .2) ∧ value(t .2)), ap(t) ∧ ap(t .1) ∧ ap(t .1 .1) ∧ t .1 .1 .1 = S, v = t .2, v0 = t .1 .2, v4 = t .1 .1 .2, ¬ (value(v4) ∧ value(v0) ∧ value(v)), none = tn1 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
〈TOPRED(t; tn2)〉 tn2 = tn0, t .1 .1 .1 = S, tn0 ≠ none, n ≠ 0, ap(t), ap(t .1), ap(t .1 .1), ¬ (value(t .1 .1 .2) ∧ value(t .1 .2) ∧ value(t .2)), ¬ (t .1 .1 = K ∧ value(t .1 .2) ∧ value(t .2)) ⊦

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]