Input TRS: 1: U11(tt(),M,N) -> U12(tt(),activate(M),activate(N)) 2: U12(tt(),M,N) -> s(plus(activate(N),activate(M))) 3: plus(N,0()) -> N 4: plus(N,s(M)) -> U11(tt(),M,N) 5: activate(X) -> X Number of strict rules: 5 Direct Order(PosReal,>,Poly) ... removes: 4 1 3 5 2 U11(x1,x2,x3) weight: (/ 9 8) + x1 + 2 * x2 + x3 s(x1) weight: (/ 9 16) + x1 activate(x1) weight: (/ 1 16) + x1 U12(x1,x2,x3) weight: (/ 7 8) + x1 + 2 * x2 + x3 0() weight: 0 plus(x1,x2) weight: (/ 1 16) + x1 + 2 * x2 tt() weight: 0 Number of strict rules: 0 YES