0.01/0.20 YES 0.01/0.20 Input TRS: 0.01/0.20 1: 0(0(1(0(2(x1))))) -> 0(0(1(2(2(x1))))) 0.01/0.20 2: 0(0(1(0(2(x1))))) -> 0(0(2(1(2(x1))))) 0.01/0.20 3: 0(0(1(0(2(x1))))) -> 0(1(0(2(2(x1))))) 0.01/0.20 4: 0(0(1(0(2(x1))))) -> 0(1(1(2(2(x1))))) 0.01/0.20 5: 0(0(1(0(2(x1))))) -> 0(1(2(0(2(x1))))) 0.01/0.20 6: 0(0(1(0(2(x1))))) -> 0(1(2(2(0(x1))))) 0.01/0.20 7: 0(0(1(0(2(x1))))) -> 0(1(2(2(2(x1))))) 0.01/0.20 8: 0(0(1(0(2(x1))))) -> 0(2(1(0(2(x1))))) 0.01/0.20 9: 0(0(1(0(2(x1))))) -> 0(2(1(2(2(x1))))) 0.01/0.20 10: 0(0(1(0(2(x1))))) -> 0(2(2(1(0(x1))))) 0.01/0.20 11: 0(0(1(0(2(x1))))) -> 0(2(2(1(2(x1))))) 0.01/0.20 12: 0(0(1(0(2(x1))))) -> 1(0(0(2(2(x1))))) 0.01/0.20 13: 0(0(1(0(2(x1))))) -> 1(0(2(0(2(x1))))) 0.01/0.20 14: 0(0(1(0(2(x1))))) -> 1(0(2(2(0(x1))))) 0.01/0.20 15: 0(0(1(0(2(x1))))) -> 1(0(2(2(2(x1))))) 0.01/0.20 16: 0(0(1(0(2(x1))))) -> 1(1(0(2(2(x1))))) 0.01/0.20 17: 0(0(1(0(2(x1))))) -> 1(2(0(2(2(x1))))) 0.01/0.20 18: 0(0(1(0(2(x1))))) -> 1(2(1(0(2(x1))))) 0.01/0.20 19: 0(0(1(0(2(x1))))) -> 1(2(2(0(2(x1))))) 0.01/0.20 20: 0(0(1(0(2(x1))))) -> 1(2(2(2(0(x1))))) 0.01/0.20 21: 0(0(1(0(2(x1))))) -> 2(1(0(2(2(x1))))) 0.01/0.20 22: 0(0(1(0(2(x1))))) -> 2(2(1(0(2(x1))))) 0.01/0.20 23: 0(0(1(0(2(x1))))) -> 2(2(2(1(0(x1))))) 0.01/0.20 24: 0(1(2(0(2(x1))))) -> 0(1(0(2(2(x1))))) 0.01/0.20 25: 0(1(2(0(2(x1))))) -> 0(1(1(2(2(x1))))) 0.01/0.20 26: 0(1(2(0(2(x1))))) -> 0(1(2(2(2(x1))))) 0.01/0.20 27: 0(1(2(0(2(x1))))) -> 0(2(1(0(2(x1))))) 0.01/0.20 28: 0(1(2(0(2(x1))))) -> 0(2(1(2(2(x1))))) 0.01/0.20 29: 0(1(2(0(2(x1))))) -> 0(2(2(1(0(x1))))) 0.01/0.20 30: 0(1(2(0(2(x1))))) -> 0(2(2(1(2(x1))))) 0.01/0.20 31: 0(1(2(0(2(x1))))) -> 1(0(2(2(2(x1))))) 0.01/0.20 32: 0(1(2(0(2(x1))))) -> 1(2(0(2(2(x1))))) 0.01/0.20 33: 0(1(2(0(2(x1))))) -> 1(2(2(0(2(x1))))) 0.01/0.20 34: 0(1(2(0(2(x1))))) -> 1(2(2(2(0(x1))))) 0.01/0.20 35: 1(0(1(0(2(x1))))) -> 0(1(2(2(2(x1))))) 0.01/0.20 36: 1(0(1(0(2(x1))))) -> 0(2(1(2(2(x1))))) 0.01/0.20 37: 1(0(1(0(2(x1))))) -> 1(0(0(2(2(x1))))) 0.01/0.20 38: 1(0(1(0(2(x1))))) -> 1(0(1(2(2(x1))))) 0.01/0.20 39: 1(0(1(0(2(x1))))) -> 1(0(2(0(2(x1))))) 0.01/0.20 40: 1(0(1(0(2(x1))))) -> 1(0(2(1(2(x1))))) 0.01/0.20 41: 1(0(1(0(2(x1))))) -> 1(0(2(2(0(x1))))) 0.01/0.20 42: 1(0(1(0(2(x1))))) -> 1(0(2(2(2(x1))))) 0.01/0.20 43: 1(0(1(0(2(x1))))) -> 1(1(0(2(2(x1))))) 0.01/0.20 44: 1(0(1(0(2(x1))))) -> 1(2(0(2(2(x1))))) 0.01/0.20 45: 1(0(1(0(2(x1))))) -> 1(2(1(0(2(x1))))) 0.01/0.20 46: 1(0(1(0(2(x1))))) -> 1(2(2(0(2(x1))))) 0.01/0.20 47: 1(0(1(0(2(x1))))) -> 1(2(2(2(0(x1))))) 0.01/0.20 48: 1(0(1(0(2(x1))))) -> 2(0(1(2(2(x1))))) 0.01/0.20 49: 1(0(1(0(2(x1))))) -> 2(0(2(1(2(x1))))) 0.01/0.20 50: 1(0(1(0(2(x1))))) -> 2(1(0(2(2(x1))))) 0.01/0.20 51: 1(0(1(0(2(x1))))) -> 2(1(2(0(2(x1))))) 0.01/0.20 52: 1(0(1(0(2(x1))))) -> 2(1(2(2(0(x1))))) 0.01/0.20 53: 1(0(1(0(2(x1))))) -> 2(2(0(1(2(x1))))) 0.01/0.20 54: 1(0(1(0(2(x1))))) -> 2(2(1(0(2(x1))))) 0.01/0.20 55: 1(0(1(0(2(x1))))) -> 2(2(1(2(0(x1))))) 0.01/0.20 56: 1(0(1(0(2(x1))))) -> 2(2(2(1(0(x1))))) 0.01/0.20 57: 1(0(2(0(2(x1))))) -> 1(0(2(2(2(x1))))) 0.01/0.20 58: 1(0(2(0(2(x1))))) -> 1(2(0(2(2(x1))))) 0.01/0.20 59: 1(0(2(0(2(x1))))) -> 1(2(2(0(2(x1))))) 0.01/0.20 60: 1(0(2(0(2(x1))))) -> 1(2(2(2(0(x1))))) 0.01/0.20 61: 1(0(2(0(2(x1))))) -> 2(1(0(2(2(x1))))) 0.01/0.20 62: 1(0(2(0(2(x1))))) -> 2(2(1(0(2(x1))))) 0.01/0.20 63: 1(1(2(0(2(x1))))) -> 0(1(2(2(2(x1))))) 0.01/0.20 64: 1(1(2(0(2(x1))))) -> 0(2(1(2(2(x1))))) 0.01/0.20 65: 1(1(2(0(2(x1))))) -> 0(2(2(1(2(x1))))) 0.01/0.20 66: 1(1(2(0(2(x1))))) -> 1(0(0(2(2(x1))))) 0.01/0.20 67: 1(1(2(0(2(x1))))) -> 1(0(1(2(2(x1))))) 0.01/0.20 68: 1(1(2(0(2(x1))))) -> 1(0(2(0(2(x1))))) 0.01/0.20 69: 1(1(2(0(2(x1))))) -> 1(0(2(1(2(x1))))) 0.01/0.20 70: 1(1(2(0(2(x1))))) -> 1(0(2(2(0(x1))))) 0.01/0.20 71: 1(1(2(0(2(x1))))) -> 1(0(2(2(2(x1))))) 0.01/0.20 72: 1(1(2(0(2(x1))))) -> 1(1(0(2(2(x1))))) 0.01/0.20 73: 1(1(2(0(2(x1))))) -> 1(2(0(2(2(x1))))) 0.01/0.20 74: 1(1(2(0(2(x1))))) -> 1(2(1(0(2(x1))))) 0.01/0.20 75: 1(1(2(0(2(x1))))) -> 1(2(2(0(2(x1))))) 0.01/0.20 76: 1(1(2(0(2(x1))))) -> 1(2(2(2(0(x1))))) 0.01/0.20 77: 1(1(2(0(2(x1))))) -> 2(0(1(2(2(x1))))) 0.01/0.20 78: 1(1(2(0(2(x1))))) -> 2(1(0(2(2(x1))))) 0.01/0.20 79: 1(1(2(0(2(x1))))) -> 2(1(2(0(2(x1))))) 0.01/0.20 80: 1(1(2(0(2(x1))))) -> 2(2(0(1(2(x1))))) 0.01/0.20 81: 1(1(2(0(2(x1))))) -> 2(2(1(0(2(x1))))) 0.01/0.20 82: 1(1(2(0(2(x1))))) -> 2(2(2(1(0(x1))))) 0.01/0.20 83: 1(2(2(0(2(x1))))) -> 1(0(2(2(2(x1))))) 0.01/0.20 84: 2(0(1(0(2(x1))))) -> 2(0(1(2(2(x1))))) 0.01/0.20 85: 2(0(1(0(2(x1))))) -> 2(0(2(1(2(x1))))) 0.01/0.20 86: 2(0(1(0(2(x1))))) -> 2(1(0(2(2(x1))))) 0.01/0.20 87: 2(0(1(0(2(x1))))) -> 2(1(2(0(2(x1))))) 0.01/0.20 88: 2(0(1(0(2(x1))))) -> 2(1(2(2(0(x1))))) 0.01/0.21 89: 2(0(1(0(2(x1))))) -> 2(2(0(1(2(x1))))) 0.01/0.21 90: 2(0(1(0(2(x1))))) -> 2(2(1(0(2(x1))))) 0.01/0.21 91: 2(0(1(0(2(x1))))) -> 2(2(1(2(0(x1))))) 0.01/0.21 92: 2(0(1(0(2(x1))))) -> 2(2(2(1(0(x1))))) 0.01/0.21 93: 2(1(1(0(2(x1))))) -> 2(0(1(0(2(x1))))) 0.01/0.21 94: 2(1(1(0(2(x1))))) -> 2(0(2(1(2(x1))))) 0.01/0.21 95: 2(1(1(0(2(x1))))) -> 2(1(2(0(2(x1))))) 0.01/0.21 96: 2(1(1(0(2(x1))))) -> 2(2(1(0(2(x1))))) 0.01/0.21 97: 2(1(2(0(2(x1))))) -> 2(0(1(2(2(x1))))) 0.01/0.21 98: 2(1(2(0(2(x1))))) -> 2(1(0(2(2(x1))))) 0.01/0.21 99: 2(1(2(0(2(x1))))) -> 2(2(1(0(2(x1))))) 0.01/0.21 100: 2(1(2(0(2(x1))))) -> 2(2(2(1(0(x1))))) 0.01/0.21 Number of strict rules: 100 0.01/0.21 Direct POLO(bPol) ... removes: 18 50 80 4 15 8 54 1 77 3 16 21 36 85 26 63 19 32 17 60 87 84 34 22 28 65 44 5 33 64 92 10 39 7 88 20 49 52 30 62 14 82 89 56 79 31 12 96 45 78 81 23 94 76 57 11 9 13 51 90 40 55 59 6 38 61 58 75 48 71 53 47 73 91 37 41 95 42 46 35 43 86 2 0.01/0.21 1 w: x1 + 2 0.01/0.21 0 w: x1 + 2 0.01/0.21 2 w: x1 + 1 0.01/0.21 Number of strict rules: 17 0.01/0.21 Direct POLO(bPol) ... failed. 0.01/0.21 Uncurrying ... failed. 0.01/0.21 Dependency Pairs: 0.01/0.21 #1: #0(1(2(0(2(x1))))) -> #0(2(2(1(0(x1))))) 0.01/0.21 #2: #0(1(2(0(2(x1))))) -> #2(2(1(0(x1)))) 0.01/0.21 #3: #0(1(2(0(2(x1))))) -> #2(1(0(x1))) 0.01/0.21 #4: #0(1(2(0(2(x1))))) -> #1(0(x1)) 0.01/0.21 #5: #0(1(2(0(2(x1))))) -> #0(x1) 0.01/0.21 #6: #1(2(2(0(2(x1))))) -> #1(0(2(2(2(x1))))) 0.01/0.21 #7: #1(2(2(0(2(x1))))) -> #0(2(2(2(x1)))) 0.01/0.21 #8: #1(2(2(0(2(x1))))) -> #2(2(2(x1))) 0.01/0.21 #9: #1(2(2(0(2(x1))))) -> #2(2(x1)) 0.01/0.21 #10: #1(1(2(0(2(x1))))) -> #1(0(0(2(2(x1))))) 0.01/0.21 #11: #1(1(2(0(2(x1))))) -> #0(0(2(2(x1)))) 0.01/0.21 #12: #1(1(2(0(2(x1))))) -> #0(2(2(x1))) 0.01/0.21 #13: #1(1(2(0(2(x1))))) -> #2(2(x1)) 0.01/0.21 #14: #2(1(2(0(2(x1))))) -> #2(2(1(0(2(x1))))) 0.01/0.21 #15: #2(1(2(0(2(x1))))) -> #2(1(0(2(x1)))) 0.01/0.21 #16: #2(1(2(0(2(x1))))) -> #1(0(2(x1))) 0.01/0.21 #17: #2(1(2(0(2(x1))))) -> #2(0(1(2(2(x1))))) 0.01/0.21 #18: #2(1(2(0(2(x1))))) -> #0(1(2(2(x1)))) 0.01/0.21 #19: #2(1(2(0(2(x1))))) -> #1(2(2(x1))) 0.01/0.21 #20: #2(1(2(0(2(x1))))) -> #2(2(x1)) 0.01/0.21 #21: #1(1(2(0(2(x1))))) -> #1(2(1(0(2(x1))))) 0.01/0.21 #22: #1(1(2(0(2(x1))))) -> #2(1(0(2(x1)))) 0.01/0.21 #23: #1(1(2(0(2(x1))))) -> #1(0(2(x1))) 0.01/0.21 #24: #1(1(2(0(2(x1))))) -> #1(0(1(2(2(x1))))) 0.01/0.21 #25: #1(1(2(0(2(x1))))) -> #0(1(2(2(x1)))) 0.01/0.21 #26: #1(1(2(0(2(x1))))) -> #1(2(2(x1))) 0.01/0.21 #27: #1(1(2(0(2(x1))))) -> #2(2(x1)) 0.01/0.21 #28: #2(1(2(0(2(x1))))) -> #2(1(0(2(2(x1))))) 0.01/0.21 #29: #2(1(2(0(2(x1))))) -> #1(0(2(2(x1)))) 0.01/0.21 #30: #2(1(2(0(2(x1))))) -> #0(2(2(x1))) 0.01/0.21 #31: #2(1(2(0(2(x1))))) -> #2(2(x1)) 0.01/0.21 #32: #0(1(2(0(2(x1))))) -> #0(1(0(2(2(x1))))) 0.01/0.21 #33: #0(1(2(0(2(x1))))) -> #1(0(2(2(x1)))) 0.01/0.21 #34: #0(1(2(0(2(x1))))) -> #0(2(2(x1))) 0.01/0.21 #35: #0(1(2(0(2(x1))))) -> #2(2(x1)) 0.01/0.21 #36: #1(1(2(0(2(x1))))) -> #1(0(2(2(0(x1))))) 0.01/0.21 #37: #1(1(2(0(2(x1))))) -> #0(2(2(0(x1)))) 0.01/0.21 #38: #1(1(2(0(2(x1))))) -> #2(2(0(x1))) 0.01/0.21 #39: #1(1(2(0(2(x1))))) -> #2(0(x1)) 0.01/0.21 #40: #1(1(2(0(2(x1))))) -> #0(x1) 0.01/0.21 #41: #1(1(2(0(2(x1))))) -> #1(0(2(1(2(x1))))) 0.01/0.21 #42: #1(1(2(0(2(x1))))) -> #0(2(1(2(x1)))) 0.01/0.21 #43: #1(1(2(0(2(x1))))) -> #2(1(2(x1))) 0.01/0.21 #44: #1(1(2(0(2(x1))))) -> #1(2(x1)) 0.01/0.21 #45: #0(1(2(0(2(x1))))) -> #0(1(1(2(2(x1))))) 0.01/0.21 #46: #0(1(2(0(2(x1))))) -> #1(1(2(2(x1)))) 0.01/0.21 #47: #0(1(2(0(2(x1))))) -> #1(2(2(x1))) 0.01/0.21 #48: #0(1(2(0(2(x1))))) -> #2(2(x1)) 0.01/0.21 #49: #2(1(1(0(2(x1))))) -> #2(0(1(0(2(x1))))) 0.01/0.21 #50: #2(1(1(0(2(x1))))) -> #0(1(0(2(x1)))) 0.01/0.21 #51: #1(1(2(0(2(x1))))) -> #1(1(0(2(2(x1))))) 0.01/0.21 #52: #1(1(2(0(2(x1))))) -> #1(0(2(2(x1)))) 0.01/0.21 #53: #1(1(2(0(2(x1))))) -> #0(2(2(x1))) 0.01/0.21 #54: #1(1(2(0(2(x1))))) -> #2(2(x1)) 0.01/0.21 #55: #0(1(2(0(2(x1))))) -> #0(2(1(0(2(x1))))) 0.01/0.21 #56: #0(1(2(0(2(x1))))) -> #2(1(0(2(x1)))) 0.01/0.21 #57: #0(1(2(0(2(x1))))) -> #1(0(2(x1))) 0.01/0.21 #58: #2(1(2(0(2(x1))))) -> #2(2(2(1(0(x1))))) 0.01/0.21 #59: #2(1(2(0(2(x1))))) -> #2(2(1(0(x1)))) 0.01/0.21 #60: #2(1(2(0(2(x1))))) -> #2(1(0(x1))) 0.01/0.21 #61: #2(1(2(0(2(x1))))) -> #1(0(x1)) 0.01/0.21 #62: #2(1(2(0(2(x1))))) -> #0(x1) 0.01/0.21 #63: #1(1(2(0(2(x1))))) -> #1(0(2(0(2(x1))))) 0.01/0.21 #64: #1(1(2(0(2(x1))))) -> #0(2(0(2(x1)))) 0.01/0.21 Number of SCCs: 1, DPs: 1 0.01/0.21 SCC { #5 } 0.01/0.21 POLO(Sum)... succeeded. 0.01/0.21 #0 w: x1 0.01/0.21 1 w: x1 0.01/0.21 #2 w: 0 0.01/0.21 0 w: x1 0.01/0.21 2 w: x1 + 1 0.01/0.21 #1 w: 0 0.01/0.21 USABLE RULES: { } 0.01/0.21 Removed DPs: #5 0.01/0.21 Number of SCCs: 0, DPs: 0 0.01/0.21 EOF