Problem: Ap(Ap(Ap(S(),x),y),z) -> Ap(Ap(x,z),Ap(y,z)) Ap(Ap(K(),x),y) -> x Ap(I(),x) -> x Proof: Church Rosser Transformation Processor: strict: Ap(Ap(Ap(S(),x),y),z) -> Ap(Ap(x,z),Ap(y,z)) Ap(Ap(K(),x),y) -> x Ap(I(),x) -> x weak: critical peaks: 0 Closedness Processor (*parallel*): strict: weak: Qed