YES Input TRS: 1: 0(1(0(2(x1)))) -> 3(4(4(x1))) 2: 2(0(0(3(x1)))) -> 3(4(1(x1))) 3: 5(3(5(0(1(x1))))) -> 5(2(3(0(x1)))) 4: 0(0(1(2(2(3(x1)))))) -> 4(0(2(2(3(x1))))) 5: 0(5(3(1(4(3(x1)))))) -> 1(4(0(5(2(x1))))) 6: 2(0(4(3(5(3(3(1(x1)))))))) -> 2(1(2(2(2(0(3(1(x1)))))))) 7: 2(4(0(2(3(0(0(2(x1)))))))) -> 2(4(0(3(4(4(2(x1))))))) 8: 2(1(4(0(4(1(5(0(2(x1))))))))) -> 3(3(2(2(3(0(3(3(4(x1))))))))) 9: 5(0(4(0(0(1(3(5(0(x1))))))))) -> 5(0(0(0(3(5(5(3(2(x1))))))))) 10: 5(3(5(4(4(2(2(2(1(x1))))))))) -> 5(0(3(0(0(4(5(2(1(x1))))))))) 11: 2(0(4(2(3(3(3(5(4(2(x1)))))))))) -> 3(4(4(2(0(2(3(3(5(2(x1)))))))))) 12: 4(4(3(2(0(1(1(4(0(2(x1)))))))))) -> 2(3(4(0(0(1(2(1(3(4(x1)))))))))) 13: 1(5(5(2(4(2(4(0(3(3(0(x1))))))))))) -> 1(3(5(4(5(5(5(3(2(4(2(x1))))))))))) 14: 2(5(5(0(1(1(5(1(4(2(3(3(x1)))))))))))) -> 4(2(3(0(3(0(0(2(3(2(3(x1))))))))))) 15: 3(0(2(4(5(2(1(2(0(2(5(1(x1)))))))))))) -> 3(1(3(0(5(0(2(2(4(0(4(x1))))))))))) 16: 3(3(3(4(3(0(0(4(4(5(0(5(x1)))))))))))) -> 3(1(5(5(0(3(1(0(5(2(5(x1))))))))))) 17: 0(5(3(5(1(0(5(1(2(4(4(5(0(x1))))))))))))) -> 0(3(1(0(4(5(5(2(5(5(2(4(0(x1))))))))))))) 18: 2(5(2(4(1(5(3(3(1(0(2(5(3(x1))))))))))))) -> 2(3(1(3(3(5(1(2(0(3(2(3(0(x1))))))))))))) 19: 2(5(5(3(5(3(1(3(1(2(5(0(0(x1))))))))))))) -> 2(5(5(5(0(4(5(5(1(1(3(2(2(x1))))))))))))) 20: 3(5(3(3(3(2(3(0(2(4(2(1(3(x1))))))))))))) -> 5(1(3(1(4(0(0(1(5(0(4(5(x1)))))))))))) 21: 2(0(3(0(2(3(1(0(0(3(0(3(5(3(x1)))))))))))))) -> 3(4(0(2(1(4(4(4(0(5(5(5(2(x1))))))))))))) 22: 3(5(3(3(1(2(4(0(4(3(5(4(2(1(x1)))))))))))))) -> 5(2(0(1(4(4(3(3(3(5(3(4(1(2(x1)))))))))))))) 23: 3(5(5(0(2(2(0(0(3(5(1(3(3(5(3(5(x1)))))))))))))))) -> 3(1(4(2(0(3(4(0(4(1(5(4(2(5(x1)))))))))))))) 24: 5(5(3(5(0(5(3(5(2(3(1(3(3(4(0(2(x1)))))))))))))))) -> 5(2(4(2(4(4(0(5(5(1(3(4(0(4(0(x1))))))))))))))) 25: 2(2(1(3(4(0(1(1(4(2(2(2(0(4(4(2(4(4(x1)))))))))))))))))) -> 4(3(4(4(5(5(0(1(0(1(3(2(5(5(1(1(4(4(x1)))))))))))))))))) 26: 0(3(0(2(2(2(5(5(2(4(4(3(5(1(0(0(0(3(3(x1))))))))))))))))))) -> 3(3(1(3(4(5(5(2(0(4(2(3(1(1(5(1(2(3(x1)))))))))))))))))) 27: 3(3(4(3(3(4(3(0(2(5(3(1(4(5(2(5(2(4(3(5(x1)))))))))))))))))))) -> 5(2(5(0(5(0(1(1(1(3(2(4(4(0(3(2(4(1(5(x1))))))))))))))))))) 28: 2(1(5(5(3(0(1(3(3(3(1(2(0(5(2(0(3(5(2(2(2(x1))))))))))))))))))))) -> 3(0(3(3(4(0(1(4(5(1(3(3(3(4(1(2(1(3(2(1(x1)))))))))))))))))))) 29: 5(1(3(4(0(3(0(2(5(3(0(2(2(0(1(2(3(3(4(1(1(x1))))))))))))))))))))) -> 5(0(1(1(4(2(0(1(1(2(1(4(0(4(3(1(2(0(0(2(x1)))))))))))))))))))) 30: 5(4(0(0(3(2(5(3(0(3(0(4(5(0(4(4(5(1(1(1(3(x1))))))))))))))))))))) -> 5(2(5(1(0(3(5(3(2(1(0(0(5(5(4(5(4(4(2(2(2(x1))))))))))))))))))))) Number of strict rules: 30 Direct POLO(bPol) ... removes: 18 4 15 8 1 3 16 21 26 19 17 27 28 5 10 7 20 25 30 14 12 23 24 9 13 6 29 2 1 w: x1 + 234746 4 w: x1 + 249451 5 w: x1 + 205425 3 w: x1 + 220102 0 w: x1 + 220095 2 w: x1 + 205420 Number of strict rules: 2 Direct POLO(bPol) ... failed. Uncurrying 3 11: 2(0(4(2(3(3(3^1_5(4(2(x1))))))))) -> 3^1_4(4(2(0(2(3(3^1_5(2(x1)))))))) 22: 3^1_5(3^2_1(2(4(0(4(3^1_5(4(2(1(x1)))))))))) -> 5(2(0(1(4(4(3(3(3^1_5(3^1_4(1(2(x1)))))))))))) 31: 3(1(_1)) ->= 3^1_1(_1) 32: 3(3^1_1(_1)) ->= 3^2_1(_1) 33: 3(4(_1)) ->= 3^1_4(_1) 34: 3(5(_1)) ->= 3^1_5(_1) Number of strict rules: 2 Direct POLO(bPol) ... removes: 32 34 22 33 31 11 1 w: x1 + 1 4 w: 2 * x1 + 1 5 w: x1 + 1 3 w: 2 * x1 + 3 3^1_5 w: 2 * x1 3^1_4 w: 2 * x1 0 w: 2 * x1 2 w: x1 + 1 3^1_1 w: x1 + 1 3^2_1 w: 2 * x1 Number of strict rules: 0