YES TRS: not(true()) -> false() not(false()) -> true() odd(0()) -> false() odd(s(x)) -> not(odd(x)) +(x,0()) -> x +(x,s(y)) -> s(+(x,y)) +(s(x),y) -> s(+(x,y)) max/plus interpretations on N: not_A(x1) = max{0, x1} not#_A(x1) = max{0, x1} true_A = 0 true#_A = 0 false_A = 0 false#_A = 0 odd_A(x1) = max{0, x1} odd#_A(x1) = max{0, x1} 0_A = 0 0#_A = 0 s_A(x1) = max{0, x1} s#_A(x1) = max{0, x1} +_A(x1,x2) = max{0, x1, x2} +#_A(x1,x2) = max{0, x1, x2} precedence: + > 0 = s > not = false > true = odd