YES Input TRS: 1: 0(0(2(5(3(2(2(5(3(5(3(2(x1)))))))))))) -> 2(0(0(0(3(0(4(0(0(3(0(2(5(0(5(2(0(2(x1)))))))))))))))))) 2: 0(1(5(5(4(4(2(5(4(2(5(1(x1)))))))))))) -> 0(0(0(5(0(5(3(4(1(0(4(2(2(4(x1)))))))))))))) 3: 0(2(2(4(5(0(1(3(3(2(5(5(x1)))))))))))) -> 1(0(4(0(0(4(3(4(2(1(1(4(4(0(2(3(x1)))))))))))))))) 4: 0(2(5(3(5(1(5(1(5(5(5(5(x1)))))))))))) -> 2(0(4(0(4(1(5(1(0(4(5(1(1(1(1(0(3(2(x1)))))))))))))))))) 5: 0(3(0(2(5(2(5(3(3(3(5(4(x1)))))))))))) -> 2(4(4(2(0(4(4(2(4(4(2(3(1(2(1(1(1(5(x1)))))))))))))))))) 6: 0(3(1(2(1(2(3(1(5(3(3(5(x1)))))))))))) -> 0(1(4(4(2(2(0(0(5(4(2(3(1(0(2(1(0(2(x1)))))))))))))))))) 7: 0(5(3(2(2(1(2(3(3(2(5(0(x1)))))))))))) -> 3(0(5(5(4(3(1(1(5(4(0(1(4(0(x1)))))))))))))) 8: 0(5(5(3(2(4(0(5(4(4(0(4(x1)))))))))))) -> 2(1(0(4(4(3(0(1(0(4(0(2(2(4(4(4(x1)))))))))))))))) 9: 1(0(3(3(5(5(0(5(4(5(1(0(x1)))))))))))) -> 2(3(4(0(3(0(1(4(0(3(4(1(2(4(2(x1))))))))))))))) 10: 1(1(2(5(0(1(2(3(5(5(3(4(x1)))))))))))) -> 2(4(2(4(4(3(3(2(2(3(2(1(4(0(x1)))))))))))))) 11: 1(2(2(5(3(1(4(5(1(3(4(1(x1)))))))))))) -> 2(3(4(0(4(0(4(5(1(2(0(0(4(5(0(5(x1)))))))))))))))) 12: 1(2(4(1(5(3(1(1(0(5(4(2(x1)))))))))))) -> 2(0(1(2(0(4(2(2(1(1(4(4(1(0(0(4(4(0(x1)))))))))))))))))) 13: 1(3(0(5(5(0(1(2(5(1(5(4(x1)))))))))))) -> 4(0(4(3(0(3(0(4(0(1(0(4(5(4(x1)))))))))))))) 14: 1(3(3(1(5(2(3(3(5(5(5(5(x1)))))))))))) -> 0(2(4(0(1(4(0(4(4(4(5(2(4(3(1(5(2(3(x1)))))))))))))))))) 15: 1(3(5(5(1(3(2(4(2(3(2(5(x1)))))))))))) -> 1(2(0(3(0(4(4(1(4(0(1(5(1(1(x1)))))))))))))) 16: 1(5(0(5(1(4(5(4(3(5(0(2(x1)))))))))))) -> 0(1(5(4(0(1(5(0(4(4(4(4(2(0(0(2(x1)))))))))))))))) 17: 1(5(0(5(5(1(5(5(3(5(3(0(x1)))))))))))) -> 1(0(5(5(2(0(4(0(5(4(1(1(0(4(0(5(0(4(x1)))))))))))))))))) 18: 1(5(1(3(3(2(2(1(5(1(5(5(x1)))))))))))) -> 0(2(1(1(1(4(1(2(4(5(2(2(0(1(2(4(x1)))))))))))))))) 19: 1(5(2(0(3(3(5(3(1(5(2(3(x1)))))))))))) -> 5(2(4(0(5(4(5(0(5(3(4(2(0(3(x1)))))))))))))) 20: 1(5(3(1(1(2(3(3(2(5(1(1(x1)))))))))))) -> 3(1(1(3(1(2(4(0(0(2(5(1(2(0(0(4(x1)))))))))))))))) 21: 1(5(3(5(3(3(3(2(2(0(1(1(x1)))))))))))) -> 2(4(0(2(2(0(0(4(1(1(5(3(5(1(3(4(1(x1))))))))))))))))) 22: 1(5(5(0(5(1(5(3(5(0(3(4(x1)))))))))))) -> 4(1(2(0(0(1(3(1(1(0(5(4(2(3(2(x1))))))))))))))) 23: 2(0(0(1(5(1(2(5(3(2(1(4(x1)))))))))))) -> 2(5(4(0(0(2(2(1(4(1(0(4(4(1(3(0(x1)))))))))))))))) 24: 2(0(5(4(2(2(3(3(2(5(2(5(x1)))))))))))) -> 4(5(3(2(0(4(4(0(1(2(2(1(0(2(0(0(4(x1))))))))))))))))) 25: 2(1(1(1(3(1(1(3(2(0(3(2(x1)))))))))))) -> 2(2(1(0(0(0(2(1(2(2(2(1(4(4(x1)))))))))))))) 26: 2(2(0(1(2(5(0(3(2(5(1(2(x1)))))))))))) -> 3(2(1(4(4(4(2(1(0(1(2(0(0(0(4(0(4(5(x1)))))))))))))))))) 27: 2(2(0(1(2(5(5(2(1(1(1(3(x1)))))))))))) -> 2(4(4(0(4(1(3(0(0(5(2(0(4(0(4(4(4(0(x1)))))))))))))))))) 28: 2(2(0(3(2(1(0(3(5(5(5(5(x1)))))))))))) -> 4(1(2(2(3(4(0(2(4(1(0(4(2(4(0(0(4(3(x1)))))))))))))))))) 29: 2(2(1(5(5(3(4(3(2(5(3(2(x1)))))))))))) -> 2(2(2(1(3(3(4(0(0(4(3(3(1(3(x1)))))))))))))) 30: 2(2(4(1(5(5(3(3(5(2(5(5(x1)))))))))))) -> 5(0(5(0(4(4(1(2(1(3(3(4(2(4(4(x1))))))))))))))) 31: 2(3(3(0(2(5(5(2(2(4(5(4(x1)))))))))))) -> 4(0(0(0(1(0(0(5(4(1(4(1(4(2(1(x1))))))))))))))) 32: 2(3(4(3(2(5(3(5(1(0(1(4(x1)))))))))))) -> 2(0(0(4(4(5(0(2(3(5(1(2(2(2(4(x1))))))))))))))) 33: 2(4(3(5(2(1(5(5(2(1(5(2(x1)))))))))))) -> 4(2(1(4(1(0(4(5(0(4(2(1(2(3(5(x1))))))))))))))) 34: 2(5(0(5(5(2(4(3(2(5(1(5(x1)))))))))))) -> 3(4(1(4(0(1(1(0(4(1(1(0(0(2(4(4(5(2(x1)))))))))))))))))) 35: 2(5(1(5(5(1(1(0(5(5(5(5(x1)))))))))))) -> 3(3(2(4(4(4(0(2(5(1(0(2(5(1(3(x1))))))))))))))) 36: 2(5(1(5(5(5(5(3(4(0(2(4(x1)))))))))))) -> 4(2(4(4(2(2(4(5(0(4(2(2(1(0(x1)))))))))))))) 37: 2(5(2(0(5(3(4(1(5(2(5(5(x1)))))))))))) -> 1(2(2(0(1(4(1(2(1(2(5(1(3(0(0(4(4(1(x1)))))))))))))))))) 38: 2(5(3(3(3(3(5(2(1(4(2(0(x1)))))))))))) -> 0(1(3(4(0(5(5(3(0(2(2(4(3(2(3(x1))))))))))))))) 39: 2(5(4(5(1(5(3(1(5(2(4(1(x1)))))))))))) -> 2(4(1(0(4(1(5(2(1(1(1(4(0(5(2(3(4(0(x1)))))))))))))))))) 40: 3(0(5(5(5(2(0(3(1(2(5(0(x1)))))))))))) -> 0(4(0(4(2(2(2(0(1(3(4(4(1(0(5(x1))))))))))))))) 41: 3(1(1(5(0(3(2(3(3(3(3(4(x1)))))))))))) -> 2(0(2(4(4(5(0(5(4(3(1(0(0(3(x1)))))))))))))) 42: 3(1(3(5(3(5(5(2(5(3(0(1(x1)))))))))))) -> 2(3(1(2(0(3(2(3(5(4(0(0(0(5(0(0(x1)))))))))))))))) 43: 3(2(1(1(5(4(1(5(0(2(3(5(x1)))))))))))) -> 2(5(4(2(3(0(0(4(5(4(4(2(4(0(0(0(2(x1))))))))))))))))) 44: 3(2(3(1(5(2(0(3(3(4(0(5(x1)))))))))))) -> 3(0(0(0(4(0(3(0(2(3(3(2(1(4(1(x1))))))))))))))) 45: 3(2(5(3(2(5(4(0(3(1(2(2(x1)))))))))))) -> 0(2(3(0(4(5(0(5(4(4(4(4(1(4(2(3(0(1(x1)))))))))))))))))) 46: 3(2(5(4(3(5(2(5(1(5(2(2(x1)))))))))))) -> 4(2(3(3(0(5(3(5(1(0(0(2(1(5(0(4(x1)))))))))))))))) 47: 3(2(5(5(5(4(4(3(2(3(1(0(x1)))))))))))) -> 0(0(2(2(4(5(4(0(4(5(5(4(0(5(x1)))))))))))))) 48: 3(3(1(1(4(5(3(4(3(5(1(5(x1)))))))))))) -> 2(4(1(2(5(0(1(3(0(5(0(4(2(0(x1)))))))))))))) 49: 3(3(3(1(0(2(4(3(3(4(4(5(x1)))))))))))) -> 0(2(0(4(4(4(0(5(5(0(1(3(3(5(x1)))))))))))))) 50: 3(4(0(5(3(4(0(0(4(5(2(4(x1)))))))))))) -> 0(0(0(5(4(5(4(4(0(4(2(4(4(0(0(x1))))))))))))))) 51: 3(4(1(5(3(1(2(3(1(0(1(3(x1)))))))))))) -> 1(3(4(3(3(5(4(0(4(0(4(4(5(0(1(x1))))))))))))))) 52: 3(4(3(3(4(5(2(5(4(2(4(5(x1)))))))))))) -> 4(0(0(3(5(1(0(0(4(2(4(4(3(5(0(2(2(x1))))))))))))))))) 53: 3(4(5(3(5(3(1(5(3(1(1(1(x1)))))))))))) -> 1(2(3(0(4(4(4(4(4(1(4(4(4(0(5(x1))))))))))))))) 54: 3(5(1(5(0(1(4(4(3(5(5(1(x1)))))))))))) -> 4(4(2(5(0(4(0(2(2(4(0(0(4(2(0(1(2(4(x1)))))))))))))))))) 55: 3(5(1(5(3(3(1(3(3(2(4(5(x1)))))))))))) -> 2(3(4(5(1(0(0(2(4(2(3(1(3(1(4(4(x1)))))))))))))))) 56: 3(5(3(2(1(3(2(1(5(5(3(5(x1)))))))))))) -> 3(3(2(1(4(2(1(2(1(5(0(1(0(4(x1)))))))))))))) 57: 3(5(3(2(3(3(5(3(2(5(3(4(x1)))))))))))) -> 4(1(1(3(0(4(2(1(2(1(0(4(4(1(1(1(2(x1))))))))))))))))) 58: 4(1(1(5(5(5(3(5(5(2(3(5(x1)))))))))))) -> 4(0(1(5(1(0(2(4(1(2(0(4(2(2(3(4(0(0(x1)))))))))))))))))) 59: 4(1(2(4(5(4(1(5(5(5(2(1(x1)))))))))))) -> 4(4(3(0(4(1(1(2(1(1(0(4(1(3(0(4(0(0(x1)))))))))))))))))) 60: 4(2(5(3(3(3(3(2(1(5(4(5(x1)))))))))))) -> 3(0(3(4(3(0(1(1(4(3(4(2(0(4(1(3(1(2(x1)))))))))))))))))) 61: 4(2(5(5(3(4(5(4(2(5(2(0(x1)))))))))))) -> 0(2(2(2(5(1(4(0(4(0(2(1(5(0(x1)))))))))))))) 62: 4(3(0(0(1(5(5(3(0(3(3(2(x1)))))))))))) -> 3(1(3(5(0(0(0(3(1(4(5(0(4(0(x1)))))))))))))) 63: 4(3(5(2(5(3(5(1(3(0(5(2(x1)))))))))))) -> 2(5(0(4(4(1(4(4(0(4(0(0(4(2(4(1(3(x1))))))))))))))))) 64: 4(5(0(5(0(1(1(2(1(2(4(0(x1)))))))))))) -> 4(2(0(0(0(5(4(2(3(0(4(4(0(1(x1)))))))))))))) 65: 4(5(5(2(3(2(5(0(2(0(3(1(x1)))))))))))) -> 1(0(0(3(4(1(5(1(0(4(4(0(3(4(0(0(x1)))))))))))))))) 66: 4(5(5(3(2(1(0(1(1(0(5(5(x1)))))))))))) -> 0(5(0(4(0(3(0(1(2(2(3(2(3(4(x1)))))))))))))) 67: 5(0(5(5(3(1(5(5(3(3(5(0(x1)))))))))))) -> 0(4(4(5(4(0(3(5(3(4(3(5(0(4(1(3(1(2(x1)))))))))))))))))) 68: 5(1(0(3(1(5(5(3(0(3(5(1(x1)))))))))))) -> 5(4(1(1(0(4(0(3(3(1(3(0(4(0(1(4(4(4(x1)))))))))))))))))) 69: 5(1(1(0(3(1(5(3(1(1(0(5(x1)))))))))))) -> 4(1(0(5(4(0(4(5(2(1(5(1(4(0(3(x1))))))))))))))) 70: 5(1(1(4(3(1(2(5(5(4(2(2(x1)))))))))))) -> 0(1(0(0(2(4(0(2(5(0(0(5(0(0(x1)))))))))))))) 71: 5(1(2(2(5(2(4(1(3(2(3(1(x1)))))))))))) -> 2(1(4(4(2(4(4(0(0(4(4(4(3(1(4(0(3(1(x1)))))))))))))))))) 72: 5(1(2(3(3(1(1(2(3(1(5(1(x1)))))))))))) -> 5(2(0(3(3(5(2(4(4(1(4(4(3(4(1(x1))))))))))))))) 73: 5(1(5(1(3(2(4(5(3(5(4(0(x1)))))))))))) -> 0(1(4(0(0(4(0(5(2(1(4(4(4(3(3(3(x1)))))))))))))))) 74: 5(2(1(4(3(5(3(1(5(3(5(1(x1)))))))))))) -> 0(1(1(1(1(2(0(5(0(0(0(2(3(0(0(1(x1)))))))))))))))) 75: 5(2(1(5(5(0(3(5(5(5(3(0(x1)))))))))))) -> 2(3(4(1(1(0(2(3(0(4(1(0(2(0(0(0(3(3(x1)))))))))))))))))) 76: 5(2(3(5(3(0(3(3(1(4(0(2(x1)))))))))))) -> 4(5(4(0(0(2(1(1(0(3(4(4(4(3(x1)))))))))))))) 77: 5(2(4(3(0(2(5(2(1(1(5(0(x1)))))))))))) -> 0(1(1(0(0(0(0(0(4(0(0(5(4(5(x1)))))))))))))) 78: 5(2(5(4(4(2(3(5(0(5(2(5(x1)))))))))))) -> 4(1(4(2(3(4(3(4(4(4(2(1(4(0(0(0(1(x1))))))))))))))))) 79: 5(3(2(0(2(0(4(2(5(1(5(2(x1)))))))))))) -> 4(3(0(4(5(0(3(4(0(3(5(1(1(1(4(x1))))))))))))))) 80: 5(3(3(2(1(1(3(3(2(5(5(1(x1)))))))))))) -> 3(1(4(0(1(4(2(0(3(0(0(3(1(2(4(x1))))))))))))))) 81: 5(3(3(3(1(5(2(0(1(5(4(0(x1)))))))))))) -> 3(5(0(3(5(0(0(4(2(3(4(0(1(2(2(3(0(0(x1)))))))))))))))))) 82: 5(3(5(2(5(5(2(4(2(1(2(2(x1)))))))))))) -> 0(1(3(4(4(4(0(1(5(0(1(1(2(1(x1)))))))))))))) 83: 5(3(5(4(4(5(1(3(4(5(5(5(x1)))))))))))) -> 5(3(4(4(0(4(4(0(1(5(0(5(2(2(3(4(0(4(x1)))))))))))))))))) 84: 5(4(3(3(0(3(2(5(4(0(5(5(x1)))))))))))) -> 1(1(4(1(3(2(2(0(1(2(2(0(0(1(1(4(3(x1))))))))))))))))) 85: 5(4(3(3(3(2(5(2(4(1(4(2(x1)))))))))))) -> 3(0(4(4(4(0(4(4(1(4(4(1(1(2(2(4(5(4(x1)))))))))))))))))) 86: 5(5(0(0(3(4(3(2(3(4(5(5(x1)))))))))))) -> 0(2(1(0(1(2(4(0(0(5(3(2(2(2(0(x1))))))))))))))) 87: 5(5(1(2(5(2(5(3(3(3(4(5(x1)))))))))))) -> 3(5(1(3(1(5(2(4(0(2(3(3(4(4(2(x1))))))))))))))) 88: 5(5(1(3(3(2(0(5(5(1(0(0(x1)))))))))))) -> 5(0(4(0(3(4(5(1(2(4(4(4(3(0(0(0(1(x1))))))))))))))))) 89: 5(5(1(5(1(5(3(4(2(5(4(5(x1)))))))))))) -> 0(5(4(0(4(0(4(1(2(2(1(1(3(4(4(0(3(3(x1)))))))))))))))))) 90: 5(5(1(5(2(5(1(5(1(1(1(4(x1)))))))))))) -> 1(4(1(3(4(4(5(4(0(5(4(5(0(4(3(5(2(x1))))))))))))))))) 91: 5(5(2(5(3(3(1(0(1(4(5(5(x1)))))))))))) -> 2(4(3(0(5(2(3(0(5(4(4(0(3(2(3(2(5(x1))))))))))))))))) 92: 5(5(3(1(0(3(3(0(2(3(5(3(x1)))))))))))) -> 2(4(5(2(2(2(0(0(4(4(3(0(4(0(0(2(4(4(x1)))))))))))))))))) 93: 5(5(3(3(5(3(3(0(4(5(3(0(x1)))))))))))) -> 4(4(0(2(4(0(3(4(1(4(1(3(3(4(4(4(4(3(x1)))))))))))))))))) 94: 5(5(3(4(0(2(5(5(3(2(4(1(x1)))))))))))) -> 2(4(3(0(4(0(1(3(2(4(1(1(0(1(1(1(0(1(x1)))))))))))))))))) 95: 5(5(4(5(5(2(5(3(1(2(1(1(x1)))))))))))) -> 0(3(0(2(2(4(4(3(1(4(4(2(5(0(0(0(x1)))))))))))))))) 96: 5(5(5(5(5(3(2(5(2(0(5(5(x1)))))))))))) -> 5(3(5(3(3(1(5(5(4(1(3(4(0(1(x1)))))))))))))) Number of strict rules: 96 Direct POLO(bPol) ... removes: 18 50 80 4 15 8 54 1 77 3 16 21 36 68 85 26 63 19 32 17 60 27 87 84 34 22 28 65 44 5 72 33 64 93 92 10 39 7 88 20 25 49 52 30 62 14 82 89 56 79 31 12 69 96 45 78 81 23 70 24 94 76 57 11 9 13 51 90 40 67 55 59 6 61 58 74 75 48 71 53 47 73 91 37 41 95 42 46 66 83 35 29 43 86 2 1 w: x1 + 19445 4 w: x1 5 w: x1 + 174975 3 w: x1 + 116652 0 w: x1 2 w: x1 + 38881 Number of strict rules: 1 Direct POLO(bPol) ... failed. Uncurrying 2 38: 2^1_5(3(3(3(3(5(2^1_1(4(2^1_0(x1))))))))) -> 0(1(3(4(0(5(5(3(0(2^2_4(3(2^1_3(x1)))))))))))) 97: 2(0(_1)) ->= 2^1_0(_1) 98: 2(1(_1)) ->= 2^1_1(_1) 99: 2(4(_1)) ->= 2^1_4(_1) 100: 2(2^1_4(_1)) ->= 2^2_4(_1) 101: 2(5(_1)) ->= 2^1_5(_1) 102: 2(3(_1)) ->= 2^1_3(_1) Number of strict rules: 1 Direct POLO(bPol) ... removes: 102 100 101 98 38 97 99 1 w: 2 * x1 + 1 4 w: 2 * x1 + 240 5 w: x1 + 1 2^1_0 w: x1 + 1 3 w: x1 + 3805 2^1_3 w: x1 + 1 2^1_4 w: 2 * x1 + 9 0 w: x1 + 1 2^1_5 w: x1 + 11831 2^2_4 w: x1 2 w: x1 + 11831 2^1_1 w: 2 * x1 + 11831 Number of strict rules: 0