(VAR X X1 X2 X3 Y Z ) (RULES active(and(true, X)) -> mark(X) active(and(false, Y)) -> mark(false) active(if(true, X, Y)) -> mark(X) active(if(false, X, Y)) -> mark(Y) active(add(0, X)) -> mark(X) active(add(s(X), Y)) -> mark(s(add(X, Y))) active(first(0, X)) -> mark(nil) active(first(s(X), cons(Y, Z))) -> mark(cons(Y, first(X, Z))) active(from(X)) -> mark(cons(X, from(s(X)))) mark(and(X1, X2)) -> active(and(mark(X1), X2)) mark(true) -> active(true) mark(false) -> active(false) mark(if(X1, X2, X3)) -> active(if(mark(X1), X2, X3)) mark(add(X1, X2)) -> active(add(mark(X1), X2)) mark(0) -> active(0) mark(s(X)) -> active(s(X)) mark(first(X1, X2)) -> active(first(mark(X1), mark(X2))) mark(nil) -> active(nil) mark(cons(X1, X2)) -> active(cons(X1, X2)) mark(from(X)) -> active(from(X)) and(mark(X1), X2) -> and(X1, X2) and(X1, mark(X2)) -> and(X1, X2) and(active(X1), X2) -> and(X1, X2) and(X1, active(X2)) -> and(X1, X2) if(mark(X1), X2, X3) -> if(X1, X2, X3) if(X1, mark(X2), X3) -> if(X1, X2, X3) if(X1, X2, mark(X3)) -> if(X1, X2, X3) if(active(X1), X2, X3) -> if(X1, X2, X3) if(X1, active(X2), X3) -> if(X1, X2, X3) if(X1, X2, active(X3)) -> if(X1, X2, X3) add(mark(X1), X2) -> add(X1, X2) add(X1, mark(X2)) -> add(X1, X2) add(active(X1), X2) -> add(X1, X2) add(X1, active(X2)) -> add(X1, X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) first(mark(X1), X2) -> first(X1, X2) first(X1, mark(X2)) -> first(X1, X2) first(active(X1), X2) -> first(X1, X2) first(X1, active(X2)) -> first(X1, X2) cons(mark(X1), X2) -> cons(X1, X2) cons(X1, mark(X2)) -> cons(X1, X2) cons(active(X1), X2) -> cons(X1, X2) cons(X1, active(X2)) -> cons(X1, X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) )