0.00/0.30 YES 0.00/0.31 Input TRS: 0.00/0.31 1: 0(1(2(x1))) -> 0(2(1(0(x1)))) 0.00/0.31 2: 0(1(2(x1))) -> 1(0(2(3(x1)))) 0.00/0.31 3: 0(1(2(x1))) -> 0(2(4(1(5(x1))))) 0.00/0.31 4: 0(1(2(x1))) -> 0(3(2(1(0(x1))))) 0.00/0.31 5: 0(1(2(x1))) -> 1(0(3(2(3(x1))))) 0.00/0.31 6: 0(1(2(x1))) -> 0(1(3(4(2(3(x1)))))) 0.00/0.31 7: 0(5(2(x1))) -> 0(2(4(5(3(x1))))) 0.00/0.31 8: 0(5(2(x1))) -> 5(4(2(3(0(4(x1)))))) 0.00/0.31 9: 2(0(1(x1))) -> 3(0(2(1(x1)))) 0.00/0.31 10: 2(0(1(x1))) -> 0(2(1(1(4(x1))))) 0.00/0.31 11: 2(0(1(x1))) -> 0(3(2(4(1(x1))))) 0.00/0.31 12: 2(0(1(x1))) -> 3(0(2(1(4(x1))))) 0.00/0.31 13: 2(0(1(x1))) -> 0(2(2(3(4(1(x1)))))) 0.00/0.31 14: 2(0(1(x1))) -> 0(3(2(3(1(1(x1)))))) 0.00/0.31 15: 2(0(1(x1))) -> 4(0(4(2(1(4(x1)))))) 0.00/0.31 16: 2(5(1(x1))) -> 0(2(1(5(1(x1))))) 0.00/0.31 17: 2(5(1(x1))) -> 1(4(5(4(2(x1))))) 0.00/0.31 18: 2(5(1(x1))) -> 5(0(2(1(4(x1))))) 0.00/0.31 19: 2(5(1(x1))) -> 5(2(1(4(1(x1))))) 0.00/0.31 20: 2(5(1(x1))) -> 1(5(0(2(4(1(x1)))))) 0.00/0.31 21: 2(5(1(x1))) -> 5(2(1(1(1(1(x1)))))) 0.00/0.31 22: 0(1(2(1(x1)))) -> 3(1(4(0(2(1(x1)))))) 0.00/0.31 23: 0(1(3(1(x1)))) -> 5(0(3(1(1(x1))))) 0.00/0.31 24: 0(1(3(1(x1)))) -> 1(0(3(4(2(1(x1)))))) 0.00/0.31 25: 0(1(5(1(x1)))) -> 5(0(3(1(1(x1))))) 0.00/0.31 26: 0(2(1(2(x1)))) -> 0(2(2(1(5(x1))))) 0.00/0.31 27: 0(2(5(1(x1)))) -> 1(1(5(0(2(1(x1)))))) 0.00/0.31 28: 0(5(3(1(x1)))) -> 0(1(4(4(3(5(x1)))))) 0.00/0.31 29: 0(5(5(2(x1)))) -> 5(4(2(3(5(0(x1)))))) 0.00/0.31 30: 2(0(1(2(x1)))) -> 0(2(3(2(1(1(x1)))))) 0.00/0.31 31: 2(0(1(2(x1)))) -> 4(0(2(1(1(2(x1)))))) 0.00/0.31 32: 2(0(4(1(x1)))) -> 3(0(2(4(1(x1))))) 0.00/0.31 33: 2(0(5(1(x1)))) -> 5(4(2(1(0(x1))))) 0.00/0.31 34: 2(2(5(1(x1)))) -> 3(2(2(4(5(1(x1)))))) 0.00/0.31 35: 2(4(0(1(x1)))) -> 1(0(2(4(4(x1))))) 0.00/0.31 36: 2(4(0(1(x1)))) -> 3(0(0(2(4(1(x1)))))) 0.00/0.31 37: 2(4(0(1(x1)))) -> 5(4(0(2(1(1(x1)))))) 0.00/0.31 38: 2(5(2(1(x1)))) -> 1(5(2(2(3(1(x1)))))) 0.00/0.31 39: 2(5(4(1(x1)))) -> 4(5(2(1(4(4(x1)))))) 0.00/0.31 40: 2(5(5(1(x1)))) -> 1(5(4(2(4(5(x1)))))) 0.00/0.31 41: 2(5(5(2(x1)))) -> 5(5(2(3(2(x1))))) 0.00/0.31 42: 0(1(3(0(1(x1))))) -> 0(3(1(0(1(1(x1)))))) 0.00/0.31 43: 0(2(4(3(1(x1))))) -> 1(3(4(2(3(0(x1)))))) 0.00/0.31 44: 0(2(4(3(1(x1))))) -> 4(0(3(2(1(0(x1)))))) 0.00/0.31 45: 0(2(5(3(1(x1))))) -> 5(0(2(3(5(1(x1)))))) 0.00/0.31 46: 2(0(5(4(1(x1))))) -> 0(4(5(3(2(1(x1)))))) 0.00/0.31 47: 2(2(0(1(2(x1))))) -> 2(4(0(2(2(1(x1)))))) 0.00/0.31 48: 2(4(0(5(1(x1))))) -> 1(4(5(0(4(2(x1)))))) 0.00/0.31 49: 2(4(2(3(1(x1))))) -> 4(2(2(3(3(1(x1)))))) 0.00/0.31 50: 2(5(2(0(1(x1))))) -> 0(2(4(1(5(2(x1)))))) 0.00/0.31 Number of strict rules: 50 0.00/0.31 Direct POLO(bPol) ... failed. 0.00/0.31 Uncurrying ... failed. 0.00/0.31 Dependency Pairs: 0.00/0.31 #1: #0(1(2(x1))) -> #0(2(3(x1))) 0.00/0.31 #2: #0(1(2(x1))) -> #2(3(x1)) 0.00/0.31 #3: #0(2(4(3(1(x1))))) -> #2(3(0(x1))) 0.00/0.31 #4: #0(2(4(3(1(x1))))) -> #0(x1) 0.00/0.31 #5: #0(5(5(2(x1)))) -> #2(3(5(0(x1)))) 0.00/0.31 #6: #0(5(5(2(x1)))) -> #0(x1) 0.00/0.31 #7: #2(4(0(1(x1)))) -> #0(2(4(4(x1)))) 0.00/0.31 #8: #2(4(0(1(x1)))) -> #2(4(4(x1))) 0.00/0.31 #9: #2(0(5(4(1(x1))))) -> #0(4(5(3(2(1(x1)))))) 0.00/0.31 #10: #2(0(5(4(1(x1))))) -> #2(1(x1)) 0.00/0.31 #11: #0(1(3(0(1(x1))))) -> #0(3(1(0(1(1(x1)))))) 0.00/0.31 #12: #0(1(3(0(1(x1))))) -> #0(1(1(x1))) 0.00/0.31 #13: #2(5(5(2(x1)))) -> #2(3(2(x1))) 0.00/0.31 #14: #2(4(0(1(x1)))) -> #0(2(1(1(x1)))) 0.00/0.31 #15: #2(4(0(1(x1)))) -> #2(1(1(x1))) 0.00/0.31 #16: #2(2(0(1(2(x1))))) -> #2(4(0(2(2(1(x1)))))) 0.00/0.31 #17: #2(2(0(1(2(x1))))) -> #0(2(2(1(x1)))) 0.00/0.31 #18: #2(2(0(1(2(x1))))) -> #2(2(1(x1))) 0.00/0.31 #19: #2(2(0(1(2(x1))))) -> #2(1(x1)) 0.00/0.31 #20: #2(4(0(5(1(x1))))) -> #0(4(2(x1))) 0.00/0.31 #21: #2(4(0(5(1(x1))))) -> #2(x1) 0.00/0.31 #22: #2(5(2(1(x1)))) -> #2(2(3(1(x1)))) 0.00/0.31 #23: #2(5(2(1(x1)))) -> #2(3(1(x1))) 0.00/0.31 #24: #0(1(2(x1))) -> #0(1(3(4(2(3(x1)))))) 0.00/0.31 #25: #0(1(2(x1))) -> #2(3(x1)) 0.00/0.31 #26: #2(5(5(1(x1)))) -> #2(4(5(x1))) 0.00/0.31 #27: #2(0(1(x1))) -> #0(2(2(3(4(1(x1)))))) 0.00/0.31 #28: #2(0(1(x1))) -> #2(2(3(4(1(x1))))) 0.00/0.31 #29: #2(0(1(x1))) -> #2(3(4(1(x1)))) 0.00/0.31 #30: #2(0(1(x1))) -> #0(2(1(x1))) 0.00/0.31 #31: #2(0(1(x1))) -> #2(1(x1)) 0.00/0.31 #32: #2(0(1(x1))) -> #0(3(2(4(1(x1))))) 0.00/0.31 #33: #2(0(1(x1))) -> #2(4(1(x1))) 0.00/0.31 #34: #0(1(3(1(x1)))) -> #0(3(4(2(1(x1))))) 0.00/0.31 #35: #0(1(3(1(x1)))) -> #2(1(x1)) 0.00/0.31 #36: #0(1(3(1(x1)))) -> #0(3(1(1(x1)))) 0.00/0.31 #37: #0(2(5(3(1(x1))))) -> #0(2(3(5(1(x1))))) 0.00/0.31 #38: #0(2(5(3(1(x1))))) -> #2(3(5(1(x1)))) 0.00/0.31 #39: #2(0(1(x1))) -> #0(2(1(4(x1)))) 0.00/0.31 #40: #2(0(1(x1))) -> #2(1(4(x1))) 0.00/0.31 #41: #2(0(1(2(x1)))) -> #0(2(1(1(2(x1))))) 0.00/0.31 #42: #2(0(1(2(x1)))) -> #2(1(1(2(x1)))) 0.00/0.31 #43: #2(0(1(x1))) -> #0(3(2(3(1(1(x1)))))) 0.00/0.31 #44: #2(0(1(x1))) -> #2(3(1(1(x1)))) 0.00/0.31 #45: #2(0(1(2(x1)))) -> #0(2(3(2(1(1(x1)))))) 0.00/0.31 #46: #2(0(1(2(x1)))) -> #2(3(2(1(1(x1))))) 0.00/0.31 #47: #2(0(1(2(x1)))) -> #2(1(1(x1))) 0.00/0.31 #48: #2(4(2(3(1(x1))))) -> #2(2(3(3(1(x1))))) 0.00/0.31 #49: #2(4(2(3(1(x1))))) -> #2(3(3(1(x1)))) 0.00/0.31 #50: #0(1(5(1(x1)))) -> #0(3(1(1(x1)))) 0.00/0.31 #51: #2(5(1(x1))) -> #0(2(4(1(x1)))) 0.00/0.31 #52: #2(5(1(x1))) -> #2(4(1(x1))) 0.00/0.31 #53: #0(5(2(x1))) -> #0(2(4(5(3(x1))))) 0.00/0.31 #54: #0(5(2(x1))) -> #2(4(5(3(x1)))) 0.00/0.31 #55: #2(5(4(1(x1)))) -> #2(1(4(4(x1)))) 0.00/0.31 #56: #2(0(1(x1))) -> #0(2(1(1(4(x1))))) 0.00/0.31 #57: #2(0(1(x1))) -> #2(1(1(4(x1)))) 0.00/0.31 #58: #2(0(5(1(x1)))) -> #2(1(0(x1))) 0.00/0.31 #59: #2(0(5(1(x1)))) -> #0(x1) 0.00/0.31 #60: #0(1(2(x1))) -> #0(3(2(3(x1)))) 0.00/0.31 #61: #0(1(2(x1))) -> #2(3(x1)) 0.00/0.31 #62: #0(2(4(3(1(x1))))) -> #0(3(2(1(0(x1))))) 0.00/0.31 #63: #0(2(4(3(1(x1))))) -> #2(1(0(x1))) 0.00/0.31 #64: #0(2(4(3(1(x1))))) -> #0(x1) 0.00/0.31 #65: #0(5(3(1(x1)))) -> #0(1(4(4(3(5(x1)))))) 0.00/0.31 #66: #0(1(2(1(x1)))) -> #0(2(1(x1))) 0.00/0.31 #67: #2(2(5(1(x1)))) -> #2(2(4(5(1(x1))))) 0.00/0.31 #68: #2(2(5(1(x1)))) -> #2(4(5(1(x1)))) 0.00/0.31 #69: #0(2(5(1(x1)))) -> #0(2(1(x1))) 0.00/0.31 #70: #0(2(5(1(x1)))) -> #2(1(x1)) 0.00/0.31 #71: #2(5(1(x1))) -> #2(x1) 0.00/0.31 #72: #2(0(4(1(x1)))) -> #0(2(4(1(x1)))) 0.00/0.31 #73: #2(0(4(1(x1)))) -> #2(4(1(x1))) 0.00/0.31 #74: #2(5(1(x1))) -> #2(1(4(1(x1)))) 0.00/0.31 #75: #0(2(1(2(x1)))) -> #0(2(2(1(5(x1))))) 0.00/0.31 #76: #0(2(1(2(x1)))) -> #2(2(1(5(x1)))) 0.00/0.31 #77: #0(2(1(2(x1)))) -> #2(1(5(x1))) 0.00/0.31 #78: #2(4(0(1(x1)))) -> #0(0(2(4(1(x1))))) 0.00/0.31 #79: #2(4(0(1(x1)))) -> #0(2(4(1(x1)))) 0.00/0.31 #80: #2(4(0(1(x1)))) -> #2(4(1(x1))) 0.00/0.31 #81: #2(5(1(x1))) -> #2(1(1(1(1(x1))))) 0.00/0.31 #82: #2(5(1(x1))) -> #0(2(1(5(1(x1))))) 0.00/0.31 #83: #2(5(1(x1))) -> #2(1(5(1(x1)))) 0.00/0.31 #84: #0(1(2(x1))) -> #0(2(4(1(5(x1))))) 0.00/0.31 #85: #0(1(2(x1))) -> #2(4(1(5(x1)))) 0.00/0.31 #86: #0(1(2(x1))) -> #0(2(1(0(x1)))) 0.00/0.31 #87: #0(1(2(x1))) -> #2(1(0(x1))) 0.00/0.31 #88: #0(1(2(x1))) -> #0(x1) 0.00/0.31 #89: #0(5(2(x1))) -> #2(3(0(4(x1)))) 0.00/0.31 #90: #0(5(2(x1))) -> #0(4(x1)) 0.00/0.31 #91: #2(0(1(x1))) -> #0(4(2(1(4(x1))))) 0.00/0.31 #92: #2(0(1(x1))) -> #2(1(4(x1))) 0.00/0.31 #93: #0(1(2(x1))) -> #0(3(2(1(0(x1))))) 0.00/0.31 #94: #0(1(2(x1))) -> #2(1(0(x1))) 0.00/0.31 #95: #0(1(2(x1))) -> #0(x1) 0.00/0.31 #96: #2(5(2(0(1(x1))))) -> #0(2(4(1(5(2(x1)))))) 0.00/0.31 #97: #2(5(2(0(1(x1))))) -> #2(4(1(5(2(x1))))) 0.00/0.31 #98: #2(5(2(0(1(x1))))) -> #2(x1) 0.00/0.31 #99: #2(5(1(x1))) -> #0(2(1(4(x1)))) 0.00/0.31 #100: #2(5(1(x1))) -> #2(1(4(x1))) 0.00/0.31 Number of SCCs: 2, DPs: 8 0.00/0.31 SCC { #21 #71 #98 } 0.00/0.31 POLO(Sum)... succeeded. 0.00/0.31 #0 w: 0 0.00/0.31 1 w: x1 + 1 0.00/0.31 4 w: x1 0.00/0.31 5 w: x1 0.00/0.31 3 w: 0 0.00/0.31 #2 w: x1 0.00/0.31 0 w: x1 0.00/0.31 2 w: x1 0.00/0.31 USABLE RULES: { } 0.00/0.31 Removed DPs: #21 #71 #98 0.00/0.31 Number of SCCs: 1, DPs: 5 0.00/0.31 SCC { #4 #6 #64 #88 #95 } 0.00/0.31 POLO(Sum)... succeeded. 0.00/0.31 #0 w: x1 0.00/0.31 1 w: x1 + 1 0.00/0.31 4 w: x1 0.00/0.31 5 w: x1 0.00/0.31 3 w: x1 0.00/0.31 #2 w: 0 0.00/0.31 0 w: 0 0.00/0.31 2 w: x1 + 1 0.00/0.31 USABLE RULES: { } 0.00/0.31 Removed DPs: #4 #6 #64 #88 #95 0.00/0.31 Number of SCCs: 0, DPs: 0 0.00/0.31 EOF