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