2.73/2.87 YES 2.73/2.87 Input TRS: 2.73/2.87 1: 0(1(0(2(x1)))) -> 2(0(3(1(0(x1))))) 2.73/2.87 2: 0(1(0(2(x1)))) -> 2(0(0(3(1(2(x1)))))) 2.73/2.87 3: 0(1(0(2(x1)))) -> 2(0(3(1(0(4(x1)))))) 2.73/2.87 4: 0(1(0(2(x1)))) -> 2(2(0(3(1(0(x1)))))) 2.73/2.87 5: 0(1(0(2(x1)))) -> 2(3(1(0(0(2(x1)))))) 2.73/2.87 6: 0(1(0(2(x1)))) -> 2(3(1(0(3(0(x1)))))) 2.73/2.87 7: 0(1(0(2(x1)))) -> 4(1(0(3(0(2(x1)))))) 2.73/2.87 8: 0(1(0(2(x1)))) -> 4(1(0(4(0(2(x1)))))) 2.73/2.87 9: 0(1(4(2(x1)))) -> 2(3(1(0(4(x1))))) 2.73/2.87 10: 0(1(4(2(x1)))) -> 2(4(0(3(1(x1))))) 2.73/2.87 11: 0(1(4(2(x1)))) -> 3(2(1(0(4(x1))))) 2.73/2.87 12: 0(1(4(2(x1)))) -> 3(2(1(4(0(x1))))) 2.73/2.87 13: 0(1(4(2(x1)))) -> 4(0(3(1(2(x1))))) 2.73/2.87 14: 0(1(4(2(x1)))) -> 4(1(0(3(2(x1))))) 2.73/2.87 15: 0(1(4(2(x1)))) -> 4(1(0(4(2(x1))))) 2.73/2.87 16: 0(1(4(2(x1)))) -> 4(1(0(5(2(x1))))) 2.73/2.87 17: 0(1(4(2(x1)))) -> 2(0(3(1(0(4(x1)))))) 2.73/2.87 18: 0(1(4(2(x1)))) -> 2(0(3(1(4(4(x1)))))) 2.73/2.87 19: 0(1(4(2(x1)))) -> 2(3(1(4(0(4(x1)))))) 2.73/2.87 20: 0(1(4(2(x1)))) -> 2(4(3(0(4(1(x1)))))) 2.73/2.87 21: 0(1(4(2(x1)))) -> 2(4(3(1(0(3(x1)))))) 2.73/2.87 22: 0(1(4(2(x1)))) -> 3(2(1(0(4(1(x1)))))) 2.73/2.87 23: 0(1(4(2(x1)))) -> 3(2(2(1(4(0(x1)))))) 2.73/2.87 24: 0(1(4(2(x1)))) -> 3(2(3(1(0(4(x1)))))) 2.73/2.87 25: 0(1(4(2(x1)))) -> 3(2(3(1(4(0(x1)))))) 2.73/2.87 26: 0(1(4(2(x1)))) -> 4(0(3(1(3(2(x1)))))) 2.73/2.87 27: 0(1(4(2(x1)))) -> 4(0(3(1(4(2(x1)))))) 2.73/2.87 28: 0(1(4(2(x1)))) -> 4(1(0(4(3(2(x1)))))) 2.73/2.87 29: 0(1(4(2(x1)))) -> 4(1(0(4(5(2(x1)))))) 2.73/2.87 30: 0(1(4(2(x1)))) -> 4(1(0(5(3(2(x1)))))) 2.73/2.87 31: 0(1(4(2(x1)))) -> 4(1(1(0(5(2(x1)))))) 2.73/2.87 32: 0(1(4(2(x1)))) -> 4(1(3(0(5(2(x1)))))) 2.73/2.87 33: 0(1(4(2(x1)))) -> 4(3(0(3(1(2(x1)))))) 2.73/2.87 34: 0(1(4(2(x1)))) -> 4(4(0(3(1(2(x1)))))) 2.73/2.87 35: 0(0(1(0(2(x1))))) -> 1(0(0(2(0(4(x1)))))) 2.73/2.87 36: 0(0(1(0(2(x1))))) -> 1(0(4(0(0(2(x1)))))) 2.73/2.87 37: 0(0(1(0(2(x1))))) -> 2(1(0(3(0(0(x1)))))) 2.73/2.87 38: 0(0(1(4(2(x1))))) -> 0(0(3(1(2(4(x1)))))) 2.73/2.87 39: 0(0(1(4(2(x1))))) -> 0(2(3(1(0(4(x1)))))) 2.73/2.87 40: 0(0(1(4(2(x1))))) -> 0(2(4(0(3(1(x1)))))) 2.73/2.87 41: 0(0(1(4(2(x1))))) -> 0(3(1(0(2(4(x1)))))) 2.73/2.87 42: 0(0(1(4(2(x1))))) -> 1(0(3(4(0(2(x1)))))) 2.73/2.87 43: 0(0(1(4(2(x1))))) -> 2(0(0(3(1(4(x1)))))) 2.73/2.87 44: 0(0(1(4(2(x1))))) -> 2(1(0(4(0(0(x1)))))) 2.73/2.87 45: 0(1(2(0(2(x1))))) -> 2(0(1(0(4(2(x1)))))) 2.73/2.87 46: 0(1(2(4(2(x1))))) -> 2(3(1(0(2(4(x1)))))) 2.73/2.87 47: 0(1(2(4(2(x1))))) -> 4(1(0(2(2(4(x1)))))) 2.73/2.87 48: 0(1(3(4(2(x1))))) -> 2(3(1(4(4(0(x1)))))) 2.73/2.87 49: 0(1(3(4(2(x1))))) -> 2(4(3(0(4(1(x1)))))) 2.73/2.87 50: 0(1(3(4(2(x1))))) -> 3(2(1(0(4(0(x1)))))) 2.73/2.87 51: 0(1(3(4(2(x1))))) -> 4(0(3(3(1(2(x1)))))) 2.73/2.87 52: 0(1(3(4(2(x1))))) -> 4(1(4(0(3(2(x1)))))) 2.73/2.87 53: 0(1(4(0(2(x1))))) -> 2(0(3(1(0(4(x1)))))) 2.73/2.87 54: 0(1(5(0(2(x1))))) -> 0(2(3(1(0(5(x1)))))) 2.73/2.87 55: 0(1(5(0(2(x1))))) -> 3(0(5(1(0(2(x1)))))) 2.73/2.87 56: 0(1(5(0(2(x1))))) -> 5(1(3(0(0(2(x1)))))) 2.73/2.87 57: 0(1(5(4(2(x1))))) -> 0(4(4(1(2(5(x1)))))) 2.73/2.87 58: 0(1(5(4(2(x1))))) -> 1(0(4(5(1(2(x1)))))) 2.73/2.87 59: 0(1(5(4(2(x1))))) -> 2(0(4(4(5(1(x1)))))) 2.73/2.87 60: 0(1(5(4(2(x1))))) -> 4(0(2(3(1(5(x1)))))) 2.73/2.87 61: 0(1(5(4(2(x1))))) -> 4(1(0(2(5(2(x1)))))) 2.73/2.87 62: 0(1(5(4(2(x1))))) -> 4(1(0(5(2(5(x1)))))) 2.73/2.87 63: 0(1(5(4(2(x1))))) -> 4(2(1(3(0(5(x1)))))) 2.73/2.87 64: 0(1(5(4(2(x1))))) -> 4(3(1(0(2(5(x1)))))) 2.73/2.87 65: 0(1(5(4(2(x1))))) -> 4(4(0(5(1(2(x1)))))) 2.73/2.87 66: 0(1(5(4(2(x1))))) -> 4(4(2(1(0(5(x1)))))) 2.73/2.87 67: 0(1(5(4(2(x1))))) -> 5(0(4(5(2(1(x1)))))) 2.73/2.87 68: 0(1(5(4(2(x1))))) -> 5(1(2(0(4(3(x1)))))) 2.73/2.87 69: 0(1(5(4(2(x1))))) -> 5(3(1(0(4(2(x1)))))) 2.73/2.87 70: 0(2(1(4(2(x1))))) -> 0(4(4(1(2(2(x1)))))) 2.73/2.87 71: 0(2(1(4(2(x1))))) -> 3(2(2(1(4(0(x1)))))) 2.73/2.87 72: 0(2(1(4(2(x1))))) -> 4(1(0(3(2(2(x1)))))) 2.73/2.87 73: 5(0(1(4(2(x1))))) -> 2(0(4(3(5(1(x1)))))) 2.73/2.87 74: 5(0(1(4(2(x1))))) -> 2(4(0(3(1(5(x1)))))) 2.73/2.87 75: 5(0(1(4(2(x1))))) -> 4(1(0(5(3(2(x1)))))) 2.73/2.87 76: 5(0(1(4(2(x1))))) -> 5(2(1(1(0(4(x1)))))) 2.73/2.87 77: 5(0(2(0(2(x1))))) -> 5(0(3(0(2(2(x1)))))) 2.73/2.87 78: 5(0(2(0(2(x1))))) -> 5(0(4(0(2(2(x1)))))) 2.73/2.87 79: 5(0(2(4(2(x1))))) -> 5(4(0(3(2(2(x1)))))) 2.73/2.87 80: 5(1(5(0(2(x1))))) -> 5(2(1(4(5(0(x1)))))) 2.73/2.87 81: 5(1(5(4(2(x1))))) -> 5(2(1(0(4(5(x1)))))) 2.73/2.87 82: 5(4(1(4(2(x1))))) -> 3(2(1(4(4(5(x1)))))) 2.73/2.87 83: 5(4(1(4(2(x1))))) -> 4(4(3(5(1(2(x1)))))) 2.73/2.87 84: 5(4(2(0(2(x1))))) -> 3(0(5(2(2(4(x1)))))) 2.73/2.87 85: 5(4(2(0(2(x1))))) -> 4(0(5(3(2(2(x1)))))) 2.73/2.87 86: 5(4(2(0(2(x1))))) -> 5(2(2(2(4(0(x1)))))) 2.73/2.87 87: 5(4(2(0(2(x1))))) -> 5(3(2(2(4(0(x1)))))) 2.73/2.87 88: 5(4(2(0(2(x1))))) -> 5(4(2(2(4(0(x1)))))) 2.73/2.87 89: 5(4(2(4(2(x1))))) -> 0(4(4(5(2(2(x1)))))) 2.73/2.87 90: 5(4(2(4(2(x1))))) -> 5(4(4(3(2(2(x1)))))) 2.73/2.87 91: 5(4(5(4(2(x1))))) -> 4(5(0(4(5(2(x1)))))) 2.73/2.87 Number of strict rules: 91 2.73/2.87 Direct POLO(bPol) ... failed. 2.73/2.87 Uncurrying 0 2.73/2.87 1: 0^1_1(0^1_2(x1)) -> 2(0^1_3(1(0(x1)))) 2.73/2.87 2: 0^1_1(0^1_2(x1)) -> 2(0^2_3(1(2(x1)))) 2.73/2.87 3: 0^1_1(0^1_2(x1)) -> 2(0^1_3(1(0^1_4(x1)))) 2.73/2.87 4: 0^1_1(0^1_2(x1)) -> 2(2(0^1_3(1(0(x1))))) 2.73/2.87 5: 0^1_1(0^1_2(x1)) -> 2(3(1(0(0^1_2(x1))))) 2.73/2.87 6: 0^1_1(0^1_2(x1)) -> 2(3(1(0^1_3(0(x1))))) 2.73/2.87 7: 0^1_1(0^1_2(x1)) -> 4(1(0^1_3(0^1_2(x1)))) 2.73/2.87 8: 0^1_1(0^1_2(x1)) -> 4(1(0^1_4(0^1_2(x1)))) 2.73/2.87 9: 0^1_1(4(2(x1))) -> 2(3(1(0^1_4(x1)))) 2.73/2.87 10: 0^1_1(4(2(x1))) -> 2(4(0^1_3(1(x1)))) 2.73/2.87 11: 0^1_1(4(2(x1))) -> 3(2(1(0^1_4(x1)))) 2.73/2.87 12: 0^1_1(4(2(x1))) -> 3(2(1(4(0(x1))))) 2.73/2.87 13: 0^1_1(4(2(x1))) -> 4(0^1_3(1(2(x1)))) 2.73/2.87 14: 0^1_1(4(2(x1))) -> 4(1(0^1_3(2(x1)))) 2.73/2.87 15: 0^1_1(4(2(x1))) -> 4(1(0^1_4(2(x1)))) 2.73/2.87 16: 0^1_1(4(2(x1))) -> 4(1(0(5(2(x1))))) 2.73/2.87 17: 0^1_1(4(2(x1))) -> 2(0^1_3(1(0^1_4(x1)))) 2.73/2.87 18: 0^1_1(4(2(x1))) -> 2(0^1_3(1(4(4(x1))))) 2.73/2.87 19: 0^1_1(4(2(x1))) -> 2(3(1(4(0^1_4(x1))))) 2.73/2.87 20: 0^1_1(4(2(x1))) -> 2(4(3(0^1_4(1(x1))))) 2.73/2.87 21: 0^1_1(4(2(x1))) -> 2(4(3(1(0^1_3(x1))))) 2.73/2.87 22: 0^1_1(4(2(x1))) -> 3(2(1(0^1_4(1(x1))))) 2.73/2.87 23: 0^1_1(4(2(x1))) -> 3(2(2(1(4(0(x1)))))) 2.73/2.87 24: 0^1_1(4(2(x1))) -> 3(2(3(1(0^1_4(x1))))) 2.73/2.87 25: 0^1_1(4(2(x1))) -> 3(2(3(1(4(0(x1)))))) 2.73/2.87 26: 0^1_1(4(2(x1))) -> 4(0^1_3(1(3(2(x1))))) 2.73/2.87 27: 0^1_1(4(2(x1))) -> 4(0^1_3(1(4(2(x1))))) 2.73/2.87 28: 0^1_1(4(2(x1))) -> 4(1(0^1_4(3(2(x1))))) 2.73/2.87 29: 0^1_1(4(2(x1))) -> 4(1(0^1_4(5(2(x1))))) 2.73/2.87 30: 0^1_1(4(2(x1))) -> 4(1(0(5(3(2(x1)))))) 2.73/2.87 31: 0^1_1(4(2(x1))) -> 4(1(1(0(5(2(x1)))))) 2.73/2.87 32: 0^1_1(4(2(x1))) -> 4(1(3(0(5(2(x1)))))) 2.73/2.87 33: 0^1_1(4(2(x1))) -> 4(3(0^1_3(1(2(x1))))) 2.73/2.87 34: 0^1_1(4(2(x1))) -> 4(4(0^1_3(1(2(x1))))) 2.73/2.87 35: 0(0^1_1(0^1_2(x1))) -> 1(0(0^1_2(0^1_4(x1)))) 2.73/2.87 36: 0(0^1_1(0^1_2(x1))) -> 1(0^1_4(0(0^1_2(x1)))) 2.73/2.87 37: 0(0^1_1(0^1_2(x1))) -> 2(1(0^1_3(0(0(x1))))) 2.73/2.87 38: 0(0^1_1(4(2(x1)))) -> 0^2_3(1(2(4(x1)))) 2.73/2.87 39: 0(0^1_1(4(2(x1)))) -> 0^1_2(3(1(0^1_4(x1)))) 2.73/2.87 40: 0(0^1_1(4(2(x1)))) -> 0^1_2(4(0^1_3(1(x1)))) 2.73/2.87 41: 0(0^1_1(4(2(x1)))) -> 0^1_3(1(0^1_2(4(x1)))) 2.73/2.87 42: 0(0^1_1(4(2(x1)))) -> 1(0^1_3(4(0^1_2(x1)))) 2.73/2.87 43: 0(0^1_1(4(2(x1)))) -> 2(0^2_3(1(4(x1)))) 2.73/2.87 44: 0(0^1_1(4(2(x1)))) -> 2(1(0^1_4(0(0(x1))))) 2.73/2.87 45: 0^1_1(2(0^1_2(x1))) -> 2(0^1_1(0^1_4(2(x1)))) 2.73/2.87 46: 0^1_1(2(4(2(x1)))) -> 2(3(1(0^1_2(4(x1))))) 2.73/2.87 47: 0^1_1(2(4(2(x1)))) -> 4(1(0^1_2(2(4(x1))))) 2.73/2.87 48: 0^1_1(3(4(2(x1)))) -> 2(3(1(4(4(0(x1)))))) 2.73/2.87 49: 0^1_1(3(4(2(x1)))) -> 2(4(3(0^1_4(1(x1))))) 2.73/2.87 50: 0^1_1(3(4(2(x1)))) -> 3(2(1(0^1_4(0(x1))))) 2.73/2.87 51: 0^1_1(3(4(2(x1)))) -> 4(0^1_3(3(1(2(x1))))) 2.73/2.87 52: 0^1_1(3(4(2(x1)))) -> 4(1(4(0^1_3(2(x1))))) 2.73/2.87 53: 0^1_1(4(0^1_2(x1))) -> 2(0^1_3(1(0^1_4(x1)))) 2.73/2.87 54: 0^1_1(5(0^1_2(x1))) -> 0^1_2(3(1(0(5(x1))))) 2.73/2.87 55: 0^1_1(5(0^1_2(x1))) -> 3(0(5(1(0^1_2(x1))))) 2.73/2.87 56: 0^1_1(5(0^1_2(x1))) -> 5(1(3(0(0^1_2(x1))))) 2.73/2.87 57: 0^1_1(5(4(2(x1)))) -> 0^1_4(4(1(2(5(x1))))) 2.73/2.87 58: 0^1_1(5(4(2(x1)))) -> 1(0^1_4(5(1(2(x1))))) 2.73/2.87 59: 0^1_1(5(4(2(x1)))) -> 2(0^1_4(4(5(1(x1))))) 2.73/2.87 60: 0^1_1(5(4(2(x1)))) -> 4(0^1_2(3(1(5(x1))))) 2.73/2.87 61: 0^1_1(5(4(2(x1)))) -> 4(1(0^1_2(5(2(x1))))) 2.73/2.87 62: 0^1_1(5(4(2(x1)))) -> 4(1(0(5(2(5(x1)))))) 2.73/2.87 63: 0^1_1(5(4(2(x1)))) -> 4(2(1(3(0(5(x1)))))) 2.73/2.87 64: 0^1_1(5(4(2(x1)))) -> 4(3(1(0^1_2(5(x1))))) 2.73/2.87 65: 0^1_1(5(4(2(x1)))) -> 4(4(0(5(1(2(x1)))))) 2.73/2.87 66: 0^1_1(5(4(2(x1)))) -> 4(4(2(1(0(5(x1)))))) 2.73/2.87 67: 0^1_1(5(4(2(x1)))) -> 5(0^1_4(5(2(1(x1))))) 2.73/2.87 68: 0^1_1(5(4(2(x1)))) -> 5(1(2(0^1_4(3(x1))))) 2.73/2.87 69: 0^1_1(5(4(2(x1)))) -> 5(3(1(0^1_4(2(x1))))) 2.73/2.87 70: 0^1_2(1(4(2(x1)))) -> 0^1_4(4(1(2(2(x1))))) 2.73/2.87 71: 0^1_2(1(4(2(x1)))) -> 3(2(2(1(4(0(x1)))))) 2.73/2.87 72: 0^1_2(1(4(2(x1)))) -> 4(1(0^1_3(2(2(x1))))) 2.73/2.87 73: 5(0^1_1(4(2(x1)))) -> 2(0^1_4(3(5(1(x1))))) 2.73/2.87 74: 5(0^1_1(4(2(x1)))) -> 2(4(0^1_3(1(5(x1))))) 2.73/2.87 75: 5(0^1_1(4(2(x1)))) -> 4(1(0(5(3(2(x1)))))) 2.73/2.87 76: 5(0^1_1(4(2(x1)))) -> 5(2(1(1(0^1_4(x1))))) 2.73/2.87 77: 5(0^1_2(0^1_2(x1))) -> 5(0^1_3(0^1_2(2(x1)))) 2.73/2.87 78: 5(0^1_2(0^1_2(x1))) -> 5(0^1_4(0^1_2(2(x1)))) 2.73/2.87 79: 5(0^1_2(4(2(x1)))) -> 5(4(0^1_3(2(2(x1))))) 2.73/2.87 80: 5(1(5(0^1_2(x1)))) -> 5(2(1(4(5(0(x1)))))) 2.73/2.87 81: 5(1(5(4(2(x1))))) -> 5(2(1(0^1_4(5(x1))))) 2.73/2.87 82: 5(4(1(4(2(x1))))) -> 3(2(1(4(4(5(x1)))))) 2.73/2.87 83: 5(4(1(4(2(x1))))) -> 4(4(3(5(1(2(x1)))))) 2.73/2.87 84: 5(4(2(0^1_2(x1)))) -> 3(0(5(2(2(4(x1)))))) 2.73/2.87 85: 5(4(2(0^1_2(x1)))) -> 4(0(5(3(2(2(x1)))))) 2.73/2.87 86: 5(4(2(0^1_2(x1)))) -> 5(2(2(2(4(0(x1)))))) 2.73/2.87 87: 5(4(2(0^1_2(x1)))) -> 5(3(2(2(4(0(x1)))))) 2.73/2.87 88: 5(4(2(0^1_2(x1)))) -> 5(4(2(2(4(0(x1)))))) 2.73/2.87 89: 5(4(2(4(2(x1))))) -> 0^1_4(4(5(2(2(x1))))) 2.73/2.87 90: 5(4(2(4(2(x1))))) -> 5(4(4(3(2(2(x1)))))) 2.73/2.87 91: 5(4(5(4(2(x1))))) -> 4(5(0^1_4(5(2(x1))))) 2.73/2.87 92: 0(2(_1)) ->= 0^1_2(_1) 2.73/2.87 93: 0(1(_1)) ->= 0^1_1(_1) 2.73/2.87 94: 0(4(_1)) ->= 0^1_4(_1) 2.73/2.87 95: 0(3(_1)) ->= 0^1_3(_1) 2.73/2.87 96: 0(0^1_3(_1)) ->= 0^2_3(_1) 2.73/2.87 Number of strict rules: 91 2.73/2.87 Direct POLO(bPol) ... removes: 18 4 15 8 1 77 3 21 36 68 26 19 17 27 34 22 28 72 33 10 39 7 20 52 49 14 79 69 96 45 78 70 24 94 76 57 11 9 13 51 40 67 59 6 38 58 74 53 73 37 41 95 42 35 29 43 2 2.73/2.87 1 w: x1 2.73/2.87 4 w: x1 2.73/2.87 5 w: x1 2.73/2.87 3 w: x1 2.73/2.87 0^1_4 w: x1 2.73/2.87 0^1_3 w: x1 + 1 2.73/2.87 0 w: x1 + 2 2.73/2.87 0^1_1 w: x1 + 2 2.73/2.87 0^2_3 w: x1 + 1 2.73/2.87 2 w: x1 2.73/2.87 0^1_2 w: x1 + 2 2.73/2.87 Number of strict rules: 37 2.73/2.87 Direct POLO(bPol) ... removes: 50 16 63 32 44 5 64 25 62 30 56 12 23 61 75 48 71 47 46 66 2.73/2.87 1 w: x1 + 3 2.73/2.87 4 w: x1 2.73/2.87 5 w: x1 2.73/2.87 3 w: x1 2.73/2.87 0^1_4 w: x1 2.73/2.87 0^1_3 w: x1 + 4 2.73/2.87 0 w: 2 * x1 2.73/2.87 0^1_1 w: 2 * x1 + 6 2.73/2.87 0^2_3 w: x1 + 9 2.73/2.87 2 w: x1 2.73/2.87 0^1_2 w: 2 * x1 2.73/2.87 Number of strict rules: 17 2.73/2.87 Direct POLO(bPol) ... failed. 2.73/2.87 Dependency Pairs: 2.73/2.87 #1: #5(4(2(0^1_2(x1)))) -> #5(2(2(2(4(0(x1)))))) 2.73/2.87 #2: #5(4(2(0^1_2(x1)))) -> #0(x1) 2.73/2.87 #3: #5(4(1(4(2(x1))))) -> #5(1(2(x1))) 2.73/2.87 #4: #5(4(5(4(2(x1))))) -> #5(0^1_4(5(2(x1)))) 2.73/2.87 #5: #5(4(5(4(2(x1))))) -> #5(2(x1)) 2.73/2.87 #6: #0^1_1(5(0^1_2(x1))) -> #0(5(1(0^1_2(x1)))) 2.73/2.87 #7: #0^1_1(5(0^1_2(x1))) -> #5(1(0^1_2(x1))) 2.73/2.87 #8: #5(4(2(4(2(x1))))) -> #5(4(4(3(2(2(x1)))))) 2.73/2.87 #9: #5(1(5(4(2(x1))))) -> #5(2(1(0^1_4(5(x1))))) 2.73/2.87 #10: #5(1(5(4(2(x1))))) -> #5(x1) 2.73/2.87 #11: #0^1_1(4(2(x1))) -> #0(5(2(x1))) 2.73/2.87 #12: #0^1_1(4(2(x1))) -> #5(2(x1)) 2.73/2.87 #13: #5(4(2(4(2(x1))))) -> #5(2(2(x1))) 2.73/2.87 #14: #5(4(1(4(2(x1))))) -> #5(x1) 2.73/2.87 #15: #5(4(2(0^1_2(x1)))) -> #5(4(2(2(4(0(x1)))))) 2.73/2.87 #16: #5(4(2(0^1_2(x1)))) -> #0(x1) 2.73/2.87 #17: #0(1(_1)) ->? #0^1_1(_1) 2.73/2.87 #18: #0^1_1(5(4(2(x1)))) -> #0(5(1(2(x1)))) 2.73/2.87 #19: #0^1_1(5(4(2(x1)))) -> #5(1(2(x1))) 2.73/2.87 #20: #5(4(2(0^1_2(x1)))) -> #0(5(2(2(4(x1))))) 2.73/2.87 #21: #5(4(2(0^1_2(x1)))) -> #5(2(2(4(x1)))) 2.73/2.87 #22: #5(4(2(0^1_2(x1)))) -> #5(3(2(2(4(0(x1)))))) 2.73/2.87 #23: #5(4(2(0^1_2(x1)))) -> #0(x1) 2.73/2.87 #24: #0^1_1(5(4(2(x1)))) -> #5(x1) 2.73/2.87 #25: #5(4(2(0^1_2(x1)))) -> #0(5(3(2(2(x1))))) 2.73/2.87 #26: #5(4(2(0^1_2(x1)))) -> #5(3(2(2(x1)))) 2.73/2.87 #27: #0^1_1(5(0^1_2(x1))) -> #0(5(x1)) 2.73/2.87 #28: #0^1_1(5(0^1_2(x1))) -> #5(x1) 2.73/2.87 #29: #5(1(5(0^1_2(x1)))) -> #5(2(1(4(5(0(x1)))))) 2.73/2.87 #30: #5(1(5(0^1_2(x1)))) -> #5(0(x1)) 2.73/2.87 #31: #5(1(5(0^1_2(x1)))) -> #0(x1) 2.73/2.87 Number of SCCs: 1, DPs: 9 2.73/2.87 SCC { #2 #10 #14 #16 #17 #23 #24 #28 #31 } 2.73/2.87 POLO(Sum)... succeeded. 2.73/2.87 #0 w: x1 + 1 2.73/2.87 1 w: x1 + 1 2.73/2.87 4 w: x1 2.73/2.87 5 w: x1 2.73/2.87 3 w: 0 2.73/2.87 0^1_4 w: 0 2.73/2.87 0^1_3 w: 0 2.73/2.87 0 w: 0 2.73/2.87 0^1_1 w: 0 2.73/2.87 0^2_3 w: 0 2.73/2.87 #0^1_1 w: x1 + 1 2.73/2.87 #5 w: x1 2.73/2.87 2 w: x1 + 1 2.73/2.87 0^1_2 w: x1 + 1 2.73/2.87 USABLE RULES: { } 2.73/2.87 Removed DPs: #2 #10 #14 #16 #17 #23 #24 #28 #31 2.73/2.87 Number of SCCs: 0, DPs: 0 2.73/2.87 EOF