YES Problem: minus(minus(x)) -> x minus(h(x)) -> h(minus(x)) minus(f(x,y)) -> f(minus(y),minus(x)) Proof: DP Processor: DPs: minus#(h(x)) -> minus#(x) minus#(f(x,y)) -> minus#(x) minus#(f(x,y)) -> minus#(y) TRS: minus(minus(x)) -> x minus(h(x)) -> h(minus(x)) minus(f(x,y)) -> f(minus(y),minus(x)) Usable Rule Processor: DPs: minus#(h(x)) -> minus#(x) minus#(f(x,y)) -> minus#(x) minus#(f(x,y)) -> minus#(y) TRS: Arctic Interpretation Processor: dimension: 1 usable rules: interpretation: [minus#](x0) = x0, [f](x0, x1) = 1x0 + 3x1 + -1, [h](x0) = 1x0 orientation: minus#(h(x)) = 1x >= x = minus#(x) minus#(f(x,y)) = 1x + 3y + -1 >= x = minus#(x) minus#(f(x,y)) = 1x + 3y + -1 >= y = minus#(y) problem: DPs: TRS: Qed