YES Input TRS: 1: 0(1(2(2(x1)))) -> 0(1(0(1(x1)))) 2: 0(0(0(0(0(x1))))) -> 2(0(2(0(x1)))) 3: 3(2(3(4(0(4(1(0(x1)))))))) -> 2(3(2(2(5(3(1(x1))))))) 4: 1(4(1(0(4(1(2(2(5(3(x1)))))))))) -> 1(4(4(2(5(3(1(5(2(x1))))))))) 5: 1(4(2(3(1(4(0(2(1(1(x1)))))))))) -> 1(1(4(1(0(4(2(3(2(1(x1)))))))))) 6: 2(5(1(2(4(5(1(3(1(5(x1)))))))))) -> 2(4(3(0(3(4(2(4(5(x1))))))))) 7: 2(3(2(4(3(2(3(4(4(0(0(0(x1)))))))))))) -> 2(4(2(0(2(2(2(2(4(3(0(x1))))))))))) 8: 5(0(2(4(2(4(1(4(4(5(1(4(x1)))))))))))) -> 1(4(5(3(3(2(3(2(3(3(4(x1))))))))))) 9: 1(0(1(3(5(5(1(2(5(2(3(5(4(x1))))))))))))) -> 1(0(3(4(1(2(3(4(5(3(3(5(4(x1))))))))))))) 10: 1(4(4(2(5(3(1(5(1(2(1(5(0(x1))))))))))))) -> 3(5(2(5(4(1(5(2(4(1(3(2(x1)))))))))))) 11: 4(1(2(5(1(1(0(0(5(4(1(3(1(x1))))))))))))) -> 4(1(1(2(2(3(5(1(4(2(3(1(x1)))))))))))) 12: 5(5(3(2(0(3(4(0(0(3(1(4(3(x1))))))))))))) -> 5(5(3(5(0(3(1(5(2(3(1(3(4(x1))))))))))))) 13: 0(5(3(2(4(0(2(1(2(3(3(4(3(3(x1)))))))))))))) -> 0(5(4(4(5(3(4(0(1(0(1(3(1(2(3(x1))))))))))))))) 14: 4(3(0(5(5(2(5(2(3(5(3(0(2(2(4(x1))))))))))))))) -> 4(3(3(4(3(1(4(1(5(0(0(5(1(5(3(4(x1)))))))))))))))) 15: 3(1(5(4(1(2(0(0(1(0(0(0(2(0(4(5(x1)))))))))))))))) -> 3(0(2(2(3(3(1(3(2(2(1(2(2(5(5(x1))))))))))))))) 16: 4(1(1(0(5(4(2(0(4(0(5(1(2(0(3(1(x1)))))))))))))))) -> 2(4(3(1(4(1(4(0(1(1(0(5(4(0(5(0(x1)))))))))))))))) 17: 4(0(2(2(4(4(1(1(1(1(0(4(1(5(1(2(0(1(x1)))))))))))))))))) -> 4(5(5(2(5(0(2(1(5(2(4(1(1(1(5(3(2(x1))))))))))))))))) 18: 4(4(4(4(3(1(1(3(3(4(2(2(4(0(3(5(4(2(5(2(3(x1))))))))))))))))))))) -> 2(5(5(4(0(1(5(3(3(5(0(1(5(1(5(4(2(4(2(2(x1)))))))))))))))))))) Number of strict rules: 18 Direct POLO(bPol) ... removes: 18 4 15 8 1 3 16 17 10 7 14 12 11 9 13 6 2 1 w: x1 + 36 4 w: x1 + 27 5 w: x1 + 22 3 w: x1 + 37 0 w: x1 + 50 2 w: x1 + 50 Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #1(4(2(3(1(4(0(2(1(1(x1)))))))))) -> #1(1(4(1(0(4(2(3(2(1(x1)))))))))) #2: #1(4(2(3(1(4(0(2(1(1(x1)))))))))) -> #1(4(1(0(4(2(3(2(1(x1))))))))) #3: #1(4(2(3(1(4(0(2(1(1(x1)))))))))) -> #1(0(4(2(3(2(1(x1))))))) Number of SCCs: 0, DPs: 0