YES (VAR x x0) (RULES p(x) -> x s(x0) -> x0 +(x,0()) -> x ) (COMMENT Termination is shown by EKBO with interpretations on natural numbers p_A(x1) = 1 0_A = 1 s_A(x1) = x1 + 1 +_A(x1,x2) = x1 + 2 0#_A = 0 +#_A(x1,x2) = x1 + x2 weights w0 = 1 w(p) = 1 w(0) = 1 w(s) = 1 w(+) = 0 and precedence: + > p > s > 0 )