YES Problem: sq(0(x1)) -> p(s(p(s(p(p(p(p(s(s(s(s(0(p(s(p(s(x1))))))))))))))))) sq(s(x1)) -> s(p(s(p(s(p(p(s(s(twice(p(s(p(s(p(p(p(s(s(s(sq(p(p(p(p(p(p(s(s(s(s(s(s(x1))))))))))))))))))))))))))))))))) twice(0(x1)) -> p(p(p(p(s(s(p(s(s(s(0(p(p(p(s(s(s(p(p(s(s(p(s(p(s(p(s(x1))))))))))))))))))))))))))) twice(s(x1)) -> p(p(s(s(s(p(p(s(s(s(twice(p(s(p(s(x1))))))))))))))) p(p(s(x1))) -> p(x1) p(s(x1)) -> x1 p(0(x1)) -> 0(s(s(s(s(s(s(s(s(s(s(s(x1)))))))))))) 0(x1) -> x1 Proof: Arctic Interpretation Processor: dimension: 1 interpretation: [twice](x0) = x0, [p](x0) = x0, [s](x0) = x0, [sq](x0) = x0, [0](x0) = 1x0 orientation: sq(0(x1)) = 1x1 >= 1x1 = p(s(p(s(p(p(p(p(s(s(s(s(0(p(s(p(s(x1))))))))))))))))) sq(s(x1)) = x1 >= x1 = s(p(s(p(s(p(p(s(s(twice(p(s(p(s(p(p(p(s(s(s(sq(p(p(p(p(p(p(s(s(s(s(s(s(x1))))))))))))))))))))))))))))))))) twice(0(x1)) = 1x1 >= 1x1 = p(p(p(p(s(s(p(s(s(s(0(p(p(p(s(s(s(p(p(s(s(p(s(p(s(p(s(x1))))))))))))))))))))))))))) twice(s(x1)) = x1 >= x1 = p(p(s(s(s(p(p(s(s(s(twice(p(s(p(s(x1))))))))))))))) p(p(s(x1))) = x1 >= x1 = p(x1) p(s(x1)) = x1 >= x1 = x1 p(0(x1)) = 1x1 >= 1x1 = 0(s(s(s(s(s(s(s(s(s(s(s(x1)))))))))))) 0(x1) = 1x1 >= x1 = x1 problem: sq(0(x1)) -> p(s(p(s(p(p(p(p(s(s(s(s(0(p(s(p(s(x1))))))))))))))))) sq(s(x1)) -> s(p(s(p(s(p(p(s(s(twice(p(s(p(s(p(p(p(s(s(s(sq(p(p(p(p(p(p(s(s(s(s(s(s(x1))))))))))))))))))))))))))))))))) twice(0(x1)) -> p(p(p(p(s(s(p(s(s(s(0(p(p(p(s(s(s(p(p(s(s(p(s(p(s(p(s(x1))))))))))))))))))))))))))) twice(s(x1)) -> p(p(s(s(s(p(p(s(s(s(twice(p(s(p(s(x1))))))))))))))) p(p(s(x1))) -> p(x1) p(s(x1)) -> x1 p(0(x1)) -> 0(s(s(s(s(s(s(s(s(s(s(s(x1)))))))))))) Arctic Interpretation Processor: dimension: 1 interpretation: [twice](x0) = x0, [p](x0) = x0, [s](x0) = x0, [sq](x0) = 2x0, [0](x0) = 2x0 orientation: sq(0(x1)) = 4x1 >= 2x1 = p(s(p(s(p(p(p(p(s(s(s(s(0(p(s(p(s(x1))))))))))))))))) sq(s(x1)) = 2x1 >= 2x1 = s(p(s(p(s(p(p(s(s(twice(p(s(p(s(p(p(p(s(s(s(sq(p(p(p(p(p(p(s(s(s(s(s(s(x1))))))))))))))))))))))))))))))))) twice(0(x1)) = 2x1 >= 2x1 = p(p(p(p(s(s(p(s(s(s(0(p(p(p(s(s(s(p(p(s(s(p(s(p(s(p(s(x1))))))))))))))))))))))))))) twice(s(x1)) = x1 >= x1 = p(p(s(s(s(p(p(s(s(s(twice(p(s(p(s(x1))))))))))))))) p(p(s(x1))) = x1 >= x1 = p(x1) p(s(x1)) = x1 >= x1 = x1 p(0(x1)) = 2x1 >= 2x1 = 0(s(s(s(s(s(s(s(s(s(s(s(x1)))))))))))) problem: sq(s(x1)) -> s(p(s(p(s(p(p(s(s(twice(p(s(p(s(p(p(p(s(s(s(sq(p(p(p(p(p(p(s(s(s(s(s(s(x1))))))))))))))))))))))))))))))))) twice(0(x1)) -> p(p(p(p(s(s(p(s(s(s(0(p(p(p(s(s(s(p(p(s(s(p(s(p(s(p(s(x1))))))))))))))))))))))))))) twice(s(x1)) -> p(p(s(s(s(p(p(s(s(s(twice(p(s(p(s(x1))))))))))))))) p(p(s(x1))) -> p(x1) p(s(x1)) -> x1 p(0(x1)) -> 0(s(s(s(s(s(s(s(s(s(s(s(x1)))))))))))) String Reversal Processor: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) 0(twice(x1)) -> s(p(s(p(s(p(s(s(p(p(s(s(s(p(p(p(0(s(s(s(p(s(s(p(p(p(p(x1))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) Matrix Interpretation Processor: dim=2 interpretation: [1 0] [0] [twice](x0) = [2 1]x0 + [1], [p](x0) = x0, [s](x0) = x0, [1 0] [0] [sq](x0) = [0 0]x0 + [2], [1 1] [0] [0](x0) = [0 2]x0 + [2] orientation: [1 0] [0] [1 0] [0] s(sq(x1)) = [0 0]x1 + [2] >= [0 0]x1 + [2] = s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) [3 1] [1] [1 1] [0] 0(twice(x1)) = [4 2]x1 + [4] >= [0 2]x1 + [2] = s(p(s(p(s(p(s(s(p(p(s(s(s(p(p(p(0(s(s(s(p(s(s(p(p(p(p(x1))))))))))))))))))))))))))) [1 0] [0] [1 0] [0] s(twice(x1)) = [2 1]x1 + [1] >= [2 1]x1 + [1] = s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) = x1 >= x1 = p(x1) s(p(x1)) = x1 >= x1 = x1 [1 1] [0] [1 1] [0] 0(p(x1)) = [0 2]x1 + [2] >= [0 2]x1 + [2] = s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) problem: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) DP Processor: DPs: s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(p(p(x1))) s#(twice(x1)) -> s#(s(p(p(x1)))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) 0#(p(x1)) -> 0#(x1) 0#(p(x1)) -> s#(0(x1)) 0#(p(x1)) -> s#(s(0(x1))) 0#(p(x1)) -> s#(s(s(0(x1)))) 0#(p(x1)) -> s#(s(s(s(0(x1))))) 0#(p(x1)) -> s#(s(s(s(s(0(x1)))))) 0#(p(x1)) -> s#(s(s(s(s(s(0(x1))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(0(x1)))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(0(x1))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(0(x1)))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(0(x1))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) TDG Processor: DPs: s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(p(p(x1))) s#(twice(x1)) -> s#(s(p(p(x1)))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) 0#(p(x1)) -> 0#(x1) 0#(p(x1)) -> s#(0(x1)) 0#(p(x1)) -> s#(s(0(x1))) 0#(p(x1)) -> s#(s(s(0(x1)))) 0#(p(x1)) -> s#(s(s(s(0(x1))))) 0#(p(x1)) -> s#(s(s(s(s(0(x1)))))) 0#(p(x1)) -> s#(s(s(s(s(s(0(x1))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(0(x1)))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(0(x1))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(0(x1)))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(0(x1))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) graph: 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(0(x1))))))))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(0(x1)))))))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(s(s(0(x1))))))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(s(0(x1)))))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(0(x1))))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(0(x1)))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(0(x1))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(0(x1)))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(0(x1))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(0(x1)) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> 0#(x1) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> 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s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> 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s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> 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s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(p(s(x1))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(p(s(x1))) -> 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s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(p(s(x1))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(x1) EDG Processor: DPs: s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(p(p(x1))) s#(twice(x1)) -> s#(s(p(p(x1)))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) 0#(p(x1)) -> 0#(x1) 0#(p(x1)) -> s#(0(x1)) 0#(p(x1)) -> s#(s(0(x1))) 0#(p(x1)) -> s#(s(s(0(x1)))) 0#(p(x1)) -> s#(s(s(s(0(x1))))) 0#(p(x1)) -> s#(s(s(s(s(0(x1)))))) 0#(p(x1)) -> s#(s(s(s(s(s(0(x1))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(0(x1)))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(0(x1))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(0(x1)))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(0(x1))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) graph: 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> 0#(x1) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(0(x1)) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(0(x1))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(0(x1)))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(0(x1))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(0(x1)))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(0(x1))))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(s(0(x1)))))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(s(s(0(x1))))))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(0(x1)))))))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(0(x1))))))))))) 0#(p(x1)) -> 0#(x1) -> 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(x1) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) 0#(p(x1)) -> s#(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) -> s#(sq(x1)) -> 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s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(x1) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(s(x1))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(s(p(s(x1))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(p(s(p(s(p(s(x1)))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(p(p(x1))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(p(p(s(s(s(p(p(x1)))))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))) s#(sq(x1)) -> s#(x1) -> s#(twice(x1)) -> s#(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) SCC Processor: #sccs: 2 #rules: 14 #arcs: 588/1296 DPs: 0#(p(x1)) -> 0#(x1) TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) Arctic Interpretation Processor: dimension: 1 interpretation: [0#](x0) = x0 + -15, [twice](x0) = 3, [p](x0) = 5x0 + 3, [s](x0) = -5x0 + 4, [sq](x0) = -4x0 + 0, [0](x0) = 9 orientation: 0#(p(x1)) = 5x1 + 3 >= x1 + -15 = 0#(x1) s(sq(x1)) = -9x1 + 4 >= 4 = s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) = 4 >= 4 = s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) = 5x1 + 4 >= 5x1 + 3 = p(x1) s(p(x1)) = x1 + 4 >= x1 = x1 0(p(x1)) = 9 >= 4 = s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) problem: DPs: TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) Qed DPs: s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) -> s#(x1) TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) Arctic Interpretation Processor: dimension: 1 interpretation: [s#](x0) = 1x0, [twice](x0) = x0, [p](x0) = x0, [s](x0) = x0, [sq](x0) = 1x0, [0](x0) = 4 orientation: s#(twice(x1)) = 1x1 >= 1x1 = s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) = 1x1 >= 1x1 = s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) = 1x1 >= 1x1 = s#(s(s(p(p(x1))))) s#(twice(x1)) = 1x1 >= 1x1 = s#(s(p(p(x1)))) s#(sq(x1)) = 2x1 >= 2x1 = s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) = 2x1 >= 2x1 = s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) = 2x1 >= 2x1 = s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) = 2x1 >= 2x1 = s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) = 2x1 >= 2x1 = s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) = 2x1 >= 1x1 = s#(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))) s#(sq(x1)) = 2x1 >= 1x1 = s#(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))) s#(sq(x1)) = 2x1 >= 1x1 = s#(s(p(p(s(p(s(p(s(x1))))))))) s#(sq(x1)) = 2x1 >= 1x1 = s#(x1) s(sq(x1)) = 1x1 >= 1x1 = s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) = x1 >= x1 = s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) = x1 >= x1 = p(x1) s(p(x1)) = x1 >= x1 = x1 0(p(x1)) = 4 >= 4 = s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) problem: DPs: s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) EDG Processor: DPs: s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) graph: s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(p(p(x1)))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) -> s#(s(p(p(x1)))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) -> s#(s(p(p(x1)))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(twice(x1)) -> s#(s(p(p(x1)))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(twice(x1)) -> s#(s(p(p(x1)))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(p(p(x1)))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(p(p(x1)))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(p(p(x1)))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(p(p(x1)))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(twice(x1)) -> s#(s(s(p(p(x1))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(s(s(s(p(p(x1))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(s(p(p(x1))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(twice(x1)) -> s#(s(p(p(x1)))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) Arctic Interpretation Processor: dimension: 1 interpretation: [s#](x0) = x0, [twice](x0) = 12x0, [p](x0) = x0, [s](x0) = x0, [sq](x0) = 8, [0](x0) = 8x0 + 14 orientation: s#(twice(x1)) = 12x1 >= x1 = s#(s(s(p(p(s(s(s(p(p(x1)))))))))) s#(twice(x1)) = 12x1 >= x1 = s#(s(p(p(s(s(s(p(p(x1))))))))) s#(twice(x1)) = 12x1 >= x1 = s#(s(s(p(p(x1))))) s#(twice(x1)) = 12x1 >= x1 = s#(s(p(p(x1)))) s#(sq(x1)) = 8 >= 8 = s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) = 8 >= 8 = s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) = 8 >= 8 = s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) = 8 >= 8 = s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) = 8 >= 8 = s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s(sq(x1)) = 8 >= 8 = s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) = 12x1 >= 12x1 = s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) = x1 >= x1 = p(x1) s(p(x1)) = x1 >= x1 = x1 0(p(x1)) = 8x1 + 14 >= 8x1 + 14 = s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) problem: DPs: s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) EDG Processor: DPs: s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) graph: s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) Matrix Interpretation Processor: dim=1 interpretation: [s#](x0) = 4x0, [twice](x0) = 4, [p](x0) = 1/2x0, [s](x0) = 2x0, [sq](x0) = 3/2x0 + 6, [0](x0) = 0 orientation: s#(sq(x1)) = 6x1 + 24 >= 24 = s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s#(sq(x1)) = 6x1 + 24 >= 12 = s#(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))))) s#(sq(x1)) = 6x1 + 24 >= 6 = s#(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))) s#(sq(x1)) = 6x1 + 24 >= 3 = s#(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1)))))))))))))))))))))))))))))) s#(sq(x1)) = 6x1 + 24 >= 3/2 = s#(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))) s(sq(x1)) = 3x1 + 12 >= 12 = s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) = 8 >= 4 = s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) = 1/2x1 >= 1/2x1 = p(x1) s(p(x1)) = x1 >= x1 = x1 0(p(x1)) = 0 >= 0 = s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) problem: DPs: s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice (s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) EDG Processor: DPs: s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice (s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) graph: s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice (s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) -> s#(sq(x1)) -> s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice (s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) Matrix Interpretation Processor: dim=1 interpretation: [s#](x0) = 1/2x0, [twice](x0) = 1/2, [p](x0) = 1/2x0, [s](x0) = 2x0, [sq](x0) = 3x0 + 5/2, [0](x0) = 0 orientation: s#(sq(x1)) = 3/2x1 + 5/4 >= 1 = s#(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(sq(x1)) = 6x1 + 5 >= 4 = s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice(s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) = 1 >= 1/2 = s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) = 1/2x1 >= 1/2x1 = p(x1) s(p(x1)) = x1 >= x1 = x1 0(p(x1)) = 0 >= 0 = s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) problem: DPs: TRS: s(sq(x1)) -> s(s(s(s(s(s(p(p(p(p(p(p(sq(s(s(s(p(p(p(s(p(s(p(twice (s(s(p(p(s(p(s(p(s(x1))))))))))))))))))))))))))))))))) s(twice(x1)) -> s(p(s(p(twice(s(s(s(p(p(s(s(s(p(p(x1))))))))))))))) s(p(p(x1))) -> p(x1) s(p(x1)) -> x1 0(p(x1)) -> s(s(s(s(s(s(s(s(s(s(s(0(x1)))))))))))) Qed