Problem: from(X) -> cons(X,from(s(X))) 2ndspos(0(),Z) -> rnil() 2ndspos(s(N),cons(X,cons(Y,Z))) -> rcons(posrecip(Y),2ndsneg(N,Z)) 2ndsneg(0(),Z) -> rnil() 2ndsneg(s(N),cons(X,cons(Y,Z))) -> rcons(negrecip(Y),2ndspos(N,Z)) pi(X) -> 2ndspos(X,from(0())) plus(0(),Y) -> Y plus(s(X),Y) -> s(plus(X,Y)) times(0(),Y) -> 0() times(s(X),Y) -> plus(Y,times(X,Y)) square(X) -> times(X,X) Proof: Containment Processor: loop length: 1 terms: from(X) context: cons(X,[]) substitution: X -> s(X) Qed