12.37/12.41 YES 12.37/12.41 Input TRS: 12.37/12.41 1: 0(1(0(x1))) -> 2(3(3(2(2(3(2(4(2(4(x1)))))))))) 12.37/12.41 2: 0(0(0(4(0(x1))))) -> 3(4(4(4(1(2(2(0(3(4(x1)))))))))) 12.37/12.41 3: 0(4(4(1(1(x1))))) -> 0(4(2(3(2(2(2(2(2(2(x1)))))))))) 12.37/12.41 4: 0(5(4(1(2(x1))))) -> 3(2(1(3(3(4(2(3(2(1(x1)))))))))) 12.37/12.41 5: 1(0(0(3(0(x1))))) -> 1(1(2(3(2(3(2(4(3(0(x1)))))))))) 12.37/12.41 6: 0(0(0(0(4(5(x1)))))) -> 0(2(3(2(4(1(5(2(3(5(x1)))))))))) 12.37/12.41 7: 0(0(0(2(0(4(x1)))))) -> 3(2(2(1(2(4(1(1(0(4(x1)))))))))) 12.37/12.41 8: 0(0(4(5(3(0(x1)))))) -> 1(2(2(3(5(2(2(1(1(4(x1)))))))))) 12.37/12.41 9: 0(1(5(3(1(1(x1)))))) -> 3(2(1(3(2(1(2(5(5(3(x1)))))))))) 12.37/12.41 10: 0(2(0(0(1(1(x1)))))) -> 3(4(2(3(1(2(3(2(3(3(x1)))))))))) 12.37/12.41 11: 0(5(0(0(0(2(x1)))))) -> 2(3(2(0(5(4(3(1(2(1(x1)))))))))) 12.37/12.41 12: 1(4(0(3(0(4(x1)))))) -> 3(2(2(5(3(3(2(1(4(4(x1)))))))))) 12.37/12.41 13: 3(0(0(1(3(5(x1)))))) -> 2(1(3(3(2(0(5(3(1(5(x1)))))))))) 12.37/12.41 14: 3(1(4(0(1(2(x1)))))) -> 2(3(2(2(1(0(3(1(1(2(x1)))))))))) 12.37/12.41 15: 4(0(0(1(3(1(x1)))))) -> 3(2(2(1(2(0(5(4(4(1(x1)))))))))) 12.37/12.41 16: 4(5(0(2(4(1(x1)))))) -> 2(1(4(2(3(2(2(3(4(1(x1)))))))))) 12.37/12.41 17: 5(4(3(0(1(5(x1)))))) -> 5(2(3(3(3(2(1(5(3(2(x1)))))))))) 12.37/12.41 18: 0(0(1(2(3(0(5(x1))))))) -> 3(2(1(3(2(1(4(3(5(5(x1)))))))))) 12.37/12.41 19: 0(0(5(1(5(1(3(x1))))))) -> 3(3(1(3(3(5(0(3(2(2(x1)))))))))) 12.37/12.41 20: 0(0(5(2(5(2(1(x1))))))) -> 2(3(5(3(4(2(2(1(2(0(x1)))))))))) 12.37/12.41 21: 0(0(5(4(2(0(2(x1))))))) -> 3(2(3(2(2(0(0(3(1(3(x1)))))))))) 12.37/12.41 22: 0(1(0(5(5(2(0(x1))))))) -> 3(2(2(4(3(3(3(0(2(0(x1)))))))))) 12.37/12.41 23: 0(2(0(3(0(0(2(x1))))))) -> 3(2(3(1(3(4(4(5(2(3(x1)))))))))) 12.37/12.41 24: 0(2(2(5(0(4(3(x1))))))) -> 0(4(1(1(2(2(3(2(5(3(x1)))))))))) 12.37/12.41 25: 0(2(4(0(1(5(4(x1))))))) -> 3(2(0(1(3(2(1(5(3(4(x1)))))))))) 12.37/12.41 26: 0(3(0(0(0(0(0(x1))))))) -> 2(0(5(2(3(1(0(2(4(4(x1)))))))))) 12.37/12.41 27: 0(4(0(0(0(4(3(x1))))))) -> 0(5(5(2(1(3(2(3(3(3(x1)))))))))) 12.37/12.41 28: 0(4(5(5(5(0(4(x1))))))) -> 2(3(5(1(2(3(0(2(4(4(x1)))))))))) 12.37/12.41 29: 0(5(1(1(5(0(0(x1))))))) -> 3(2(1(0(5(2(0(3(3(4(x1)))))))))) 12.37/12.41 30: 0(5(2(2(4(1(0(x1))))))) -> 2(3(3(1(2(3(2(3(0(4(x1)))))))))) 12.37/12.41 31: 0(5(3(1(4(3(1(x1))))))) -> 2(3(2(1(3(4(4(1(0(1(x1)))))))))) 12.37/12.41 32: 1(0(3(1(0(0(0(x1))))))) -> 2(4(2(2(5(3(2(4(4(4(x1)))))))))) 12.37/12.41 33: 1(1(2(4(4(0(2(x1))))))) -> 1(1(2(2(3(2(1(5(2(2(x1)))))))))) 12.37/12.41 34: 1(2(4(4(0(5(1(x1))))))) -> 1(3(3(2(2(3(5(1(0(3(x1)))))))))) 12.37/12.41 35: 1(3(0(0(3(3(5(x1))))))) -> 3(2(2(1(2(4(5(4(3(5(x1)))))))))) 12.37/12.41 36: 1(4(1(3(0(4(3(x1))))))) -> 1(3(5(1(2(3(2(2(5(1(x1)))))))))) 12.37/12.41 37: 1(4(4(0(0(0(0(x1))))))) -> 2(1(2(4(3(3(5(3(1(0(x1)))))))))) 12.37/12.41 38: 1(5(0(0(5(3(3(x1))))))) -> 1(5(4(3(2(1(1(3(2(1(x1)))))))))) 12.37/12.41 39: 4(0(0(0(4(0(2(x1))))))) -> 4(4(2(2(3(2(4(1(2(2(x1)))))))))) 12.37/12.41 40: 4(0(0(0(4(1(4(x1))))))) -> 4(4(3(2(1(1(2(1(0(0(x1)))))))))) 12.37/12.41 41: 4(0(0(4(0(0(2(x1))))))) -> 3(0(3(2(3(3(5(4(1(5(x1)))))))))) 12.37/12.41 42: 4(0(0(4(5(2(4(x1))))))) -> 3(3(5(2(2(2(3(4(4(0(x1)))))))))) 12.37/12.41 43: 4(0(3(0(2(5(1(x1))))))) -> 4(3(3(2(3(4(3(1(0(3(x1)))))))))) 12.37/12.41 44: 4(0(4(0(1(1(2(x1))))))) -> 2(2(0(3(1(4(3(2(2(2(x1)))))))))) 12.37/12.41 45: 4(0(4(1(4(0(0(x1))))))) -> 3(1(2(2(0(0(2(1(1(4(x1)))))))))) 12.37/12.41 46: 4(1(0(5(4(1(4(x1))))))) -> 2(5(1(2(1(3(2(4(3(4(x1)))))))))) 12.37/12.41 47: 4(1(2(5(4(0(0(x1))))))) -> 2(4(5(1(3(0(3(2(0(4(x1)))))))))) 12.37/12.41 48: 4(1(4(0(3(1(0(x1))))))) -> 5(3(2(0(2(2(2(5(1(4(x1)))))))))) 12.37/12.41 49: 4(3(0(5(5(0(2(x1))))))) -> 3(0(3(2(3(2(2(4(5(2(x1)))))))))) 12.37/12.41 50: 4(3(5(5(4(1(0(x1))))))) -> 3(5(1(3(4(5(2(3(3(4(x1)))))))))) 12.37/12.41 51: 5(0(0(0(1(4(0(x1))))))) -> 5(2(5(3(2(2(3(0(5(4(x1)))))))))) 12.37/12.41 52: 5(0(2(1(5(1(5(x1))))))) -> 5(3(2(3(3(3(4(3(3(2(x1)))))))))) 12.37/12.41 53: 5(0(2(5(4(4(0(x1))))))) -> 5(4(0(3(2(2(1(1(3(4(x1)))))))))) 12.37/12.41 54: 5(0(5(0(1(5(2(x1))))))) -> 5(3(2(3(2(4(3(2(0(2(x1)))))))))) 12.37/12.41 55: 5(0(5(5(5(4(5(x1))))))) -> 5(2(3(3(2(3(3(0(3(2(x1)))))))))) 12.37/12.41 56: 5(3(0(1(4(3(1(x1))))))) -> 3(2(2(1(2(1(0(0(3(1(x1)))))))))) 12.37/12.41 57: 5(3(5(0(1(0(1(x1))))))) -> 5(3(2(2(1(5(5(3(5(1(x1)))))))))) 12.37/12.41 58: 5(4(0(4(1(0(3(x1))))))) -> 5(3(2(2(4(4(3(2(4(3(x1)))))))))) 12.37/12.41 Number of strict rules: 58 12.37/12.41 Direct POLO(bPol) ... removes: 18 50 4 8 54 1 3 16 21 36 26 19 32 17 27 34 22 28 44 5 33 10 39 7 20 25 49 52 30 14 31 12 45 23 24 57 11 9 13 51 40 55 6 38 58 48 53 37 41 42 46 35 29 43 2 12.37/12.41 1 w: x1 12.37/12.41 4 w: x1 + 2 12.37/12.41 5 w: x1 + 3 12.37/12.41 3 w: x1 12.37/12.41 0 w: x1 + 5 12.37/12.41 2 w: x1 12.37/12.41 Number of strict rules: 3 12.37/12.41 Direct POLO(bPol) ... removes: 15 56 47 12.37/12.41 1 w: x1 + 2 12.37/12.41 4 w: 2 * x1 + 10 12.37/12.41 5 w: x1 + 8 12.37/12.41 3 w: x1 + 1 12.37/12.41 0 w: 2 * x1 + 12 12.37/12.41 2 w: x1 + 1 12.37/12.41 Number of strict rules: 0 12.37/12.41 EOF