0.85/0.87 YES 0.85/0.87 Input TRS: 0.85/0.87 1: 0(1(2(x1))) -> 0(0(2(1(x1)))) 0.85/0.87 2: 0(1(2(x1))) -> 0(2(1(3(x1)))) 0.85/0.87 3: 0(1(2(x1))) -> 0(0(2(1(4(4(x1)))))) 0.85/0.87 4: 0(3(1(x1))) -> 0(1(3(4(0(x1))))) 0.85/0.87 5: 0(3(1(x1))) -> 0(1(3(4(4(x1))))) 0.85/0.87 6: 0(3(1(x1))) -> 1(3(4(4(4(0(x1)))))) 0.85/0.87 7: 0(3(2(x1))) -> 0(2(1(3(x1)))) 0.85/0.87 8: 0(3(2(x1))) -> 0(2(3(4(x1)))) 0.85/0.87 9: 0(3(2(x1))) -> 0(0(2(4(3(x1))))) 0.85/0.87 10: 0(3(2(x1))) -> 0(2(1(4(3(x1))))) 0.85/0.87 11: 0(3(2(x1))) -> 0(2(4(3(3(x1))))) 0.85/0.87 12: 0(3(2(x1))) -> 0(2(1(3(3(4(x1)))))) 0.85/0.87 13: 0(3(2(x1))) -> 0(2(3(4(5(5(x1)))))) 0.85/0.87 14: 0(3(2(x1))) -> 2(4(4(3(4(0(x1)))))) 0.85/0.87 15: 0(4(1(x1))) -> 0(1(4(4(x1)))) 0.85/0.87 16: 0(4(1(x1))) -> 0(2(1(4(x1)))) 0.85/0.87 17: 0(4(2(x1))) -> 0(2(1(4(x1)))) 0.85/0.87 18: 0(4(2(x1))) -> 0(2(3(4(x1)))) 0.85/0.87 19: 0(4(2(x1))) -> 0(2(4(3(x1)))) 0.85/0.87 20: 2(0(1(x1))) -> 5(0(2(1(x1)))) 0.85/0.87 21: 2(3(1(x1))) -> 1(3(5(2(x1)))) 0.85/0.87 22: 2(3(1(x1))) -> 0(2(1(3(5(x1))))) 0.85/0.87 23: 2(3(1(x1))) -> 1(4(3(5(2(x1))))) 0.85/0.87 24: 0(2(0(1(x1)))) -> 5(0(0(2(1(x1))))) 0.85/0.87 25: 0(3(1(1(x1)))) -> 0(1(4(1(3(4(x1)))))) 0.85/0.87 26: 0(3(2(1(x1)))) -> 0(0(3(4(2(1(x1)))))) 0.85/0.87 27: 0(3(2(2(x1)))) -> 1(3(4(0(2(2(x1)))))) 0.85/0.87 28: 0(4(1(2(x1)))) -> 1(4(0(2(5(x1))))) 0.85/0.87 29: 0(4(3(2(x1)))) -> 2(3(4(4(0(0(x1)))))) 0.85/0.87 30: 0(5(3(1(x1)))) -> 0(1(4(3(5(4(x1)))))) 0.85/0.87 31: 0(5(3(1(x1)))) -> 0(1(5(3(4(0(x1)))))) 0.85/0.87 32: 0(5(3(2(x1)))) -> 0(2(4(5(3(x1))))) 0.85/0.87 33: 0(5(3(2(x1)))) -> 0(2(5(3(3(x1))))) 0.85/0.87 34: 2(0(3(1(x1)))) -> 2(0(1(3(5(2(x1)))))) 0.85/0.87 35: 2(0(4(1(x1)))) -> 2(0(1(4(5(x1))))) 0.85/0.87 36: 2(5(3(2(x1)))) -> 2(5(2(3(3(x1))))) 0.85/0.87 37: 2(5(4(2(x1)))) -> 0(2(5(2(4(x1))))) 0.85/0.87 38: 0(0(3(2(1(x1))))) -> 0(0(1(3(5(2(x1)))))) 0.85/0.87 39: 0(1(0(3(2(x1))))) -> 0(1(4(3(2(0(x1)))))) 0.85/0.87 40: 0(1(0(3(2(x1))))) -> 2(3(1(0(0(5(x1)))))) 0.85/0.87 41: 0(3(2(5(1(x1))))) -> 0(2(5(1(3(3(x1)))))) 0.85/0.87 42: 0(5(1(1(2(x1))))) -> 0(2(4(1(1(5(x1)))))) 0.85/0.87 43: 0(5(1(2(2(x1))))) -> 0(2(5(2(1(2(x1)))))) 0.85/0.87 44: 0(5(3(2(1(x1))))) -> 0(1(3(4(2(5(x1)))))) 0.85/0.87 45: 0(5(5(3(2(x1))))) -> 0(2(5(1(3(5(x1)))))) 0.85/0.87 46: 2(0(3(1(1(x1))))) -> 2(1(0(1(3(4(x1)))))) 0.85/0.87 47: 2(2(0(3(1(x1))))) -> 1(3(0(2(5(2(x1)))))) 0.85/0.87 48: 2(2(0(5(1(x1))))) -> 2(0(2(1(5(1(x1)))))) 0.85/0.87 49: 2(5(5(4(1(x1))))) -> 5(5(2(1(3(4(x1)))))) 0.85/0.87 Number of strict rules: 49 0.85/0.87 Direct POLO(bPol) ... failed. 0.85/0.87 Uncurrying ... failed. 0.85/0.87 Dependency Pairs: 0.85/0.87 #1: #0(1(2(x1))) -> #0(2(1(3(x1)))) 0.85/0.87 #2: #0(1(2(x1))) -> #2(1(3(x1))) 0.85/0.87 #3: #0(5(1(2(2(x1))))) -> #0(2(5(2(1(2(x1)))))) 0.85/0.87 #4: #0(5(1(2(2(x1))))) -> #2(5(2(1(2(x1))))) 0.85/0.87 #5: #0(5(1(2(2(x1))))) -> #2(1(2(x1))) 0.85/0.87 #6: #0(4(3(2(x1)))) -> #2(3(4(4(0(0(x1)))))) 0.85/0.87 #7: #0(4(3(2(x1)))) -> #0(0(x1)) 0.85/0.87 #8: #0(4(3(2(x1)))) -> #0(x1) 0.85/0.87 #9: #2(0(4(1(x1)))) -> #2(0(1(4(5(x1))))) 0.85/0.87 #10: #2(0(4(1(x1)))) -> #0(1(4(5(x1)))) 0.85/0.87 #11: #2(0(3(1(1(x1))))) -> #2(1(0(1(3(4(x1)))))) 0.85/0.87 #12: #2(0(3(1(1(x1))))) -> #0(1(3(4(x1)))) 0.85/0.87 #13: #0(5(1(1(2(x1))))) -> #0(2(4(1(1(5(x1)))))) 0.85/0.87 #14: #0(5(1(1(2(x1))))) -> #2(4(1(1(5(x1))))) 0.85/0.87 #15: #0(3(2(5(1(x1))))) -> #0(2(5(1(3(3(x1)))))) 0.85/0.87 #16: #0(3(2(5(1(x1))))) -> #2(5(1(3(3(x1))))) 0.85/0.87 #17: #2(5(4(2(x1)))) -> #0(2(5(2(4(x1))))) 0.85/0.87 #18: #2(5(4(2(x1)))) -> #2(5(2(4(x1)))) 0.85/0.87 #19: #2(5(4(2(x1)))) -> #2(4(x1)) 0.85/0.87 #20: #2(2(0(3(1(x1))))) -> #0(2(5(2(x1)))) 0.85/0.87 #21: #2(2(0(3(1(x1))))) -> #2(5(2(x1))) 0.85/0.87 #22: #2(2(0(3(1(x1))))) -> #2(x1) 0.85/0.87 #23: #2(2(0(5(1(x1))))) -> #2(0(2(1(5(1(x1)))))) 0.85/0.87 #24: #2(2(0(5(1(x1))))) -> #0(2(1(5(1(x1))))) 0.85/0.87 #25: #2(2(0(5(1(x1))))) -> #2(1(5(1(x1)))) 0.85/0.87 #26: #0(0(3(2(1(x1))))) -> #0(0(1(3(5(2(x1)))))) 0.85/0.87 #27: #0(0(3(2(1(x1))))) -> #0(1(3(5(2(x1))))) 0.85/0.87 #28: #0(0(3(2(1(x1))))) -> #2(x1) 0.85/0.87 #29: #0(3(1(x1))) -> #0(x1) 0.85/0.87 #30: #0(1(0(3(2(x1))))) -> #2(3(1(0(0(5(x1)))))) 0.85/0.87 #31: #0(1(0(3(2(x1))))) -> #0(0(5(x1))) 0.85/0.87 #32: #0(1(0(3(2(x1))))) -> #0(5(x1)) 0.85/0.87 #33: #0(3(2(x1))) -> #0(2(3(4(5(5(x1)))))) 0.85/0.87 #34: #0(3(2(x1))) -> #2(3(4(5(5(x1))))) 0.85/0.87 #35: #0(3(2(x1))) -> #0(0(2(4(3(x1))))) 0.85/0.87 #36: #0(3(2(x1))) -> #0(2(4(3(x1)))) 0.85/0.87 #37: #0(3(2(x1))) -> #2(4(3(x1))) 0.85/0.87 #38: #0(3(2(x1))) -> #0(2(4(3(3(x1))))) 0.85/0.87 #39: #0(3(2(x1))) -> #2(4(3(3(x1)))) 0.85/0.87 #40: #0(2(0(1(x1)))) -> #0(0(2(1(x1)))) 0.85/0.87 #41: #0(2(0(1(x1)))) -> #0(2(1(x1))) 0.85/0.87 #42: #0(2(0(1(x1)))) -> #2(1(x1)) 0.85/0.87 #43: #2(3(1(x1))) -> #2(x1) 0.85/0.87 #44: #0(5(5(3(2(x1))))) -> #0(2(5(1(3(5(x1)))))) 0.85/0.87 #45: #0(5(5(3(2(x1))))) -> #2(5(1(3(5(x1))))) 0.85/0.87 #46: #0(3(2(x1))) -> #0(2(1(3(3(4(x1)))))) 0.85/0.87 #47: #0(3(2(x1))) -> #2(1(3(3(4(x1))))) 0.85/0.87 #48: #0(5(3(1(x1)))) -> #0(1(5(3(4(0(x1)))))) 0.85/0.87 #49: #0(5(3(1(x1)))) -> #0(x1) 0.85/0.87 #50: #0(3(2(x1))) -> #2(4(4(3(4(0(x1)))))) 0.85/0.87 #51: #0(3(2(x1))) -> #0(x1) 0.85/0.87 #52: #0(5(3(1(x1)))) -> #0(1(4(3(5(4(x1)))))) 0.85/0.87 #53: #2(5(5(4(1(x1))))) -> #2(1(3(4(x1)))) 0.85/0.87 #54: #0(3(1(1(x1)))) -> #0(1(4(1(3(4(x1)))))) 0.85/0.87 #55: #2(0(1(x1))) -> #0(2(1(x1))) 0.85/0.87 #56: #2(0(1(x1))) -> #2(1(x1)) 0.85/0.87 #57: #0(3(2(x1))) -> #0(2(1(3(x1)))) 0.85/0.87 #58: #0(3(2(x1))) -> #2(1(3(x1))) 0.85/0.87 #59: #0(1(0(3(2(x1))))) -> #0(1(4(3(2(0(x1)))))) 0.85/0.87 #60: #0(1(0(3(2(x1))))) -> #2(0(x1)) 0.85/0.87 #61: #0(1(0(3(2(x1))))) -> #0(x1) 0.85/0.87 #62: #0(3(2(x1))) -> #0(2(1(4(3(x1))))) 0.85/0.87 #63: #0(3(2(x1))) -> #2(1(4(3(x1)))) 0.85/0.87 #64: #0(5(3(2(x1)))) -> #0(2(5(3(3(x1))))) 0.85/0.87 #65: #0(5(3(2(x1)))) -> #2(5(3(3(x1)))) 0.85/0.87 #66: #0(3(1(x1))) -> #0(1(3(4(4(x1))))) 0.85/0.87 #67: #0(5(3(2(1(x1))))) -> #0(1(3(4(2(5(x1)))))) 0.85/0.87 #68: #0(5(3(2(1(x1))))) -> #2(5(x1)) 0.85/0.87 #69: #0(4(1(2(x1)))) -> #0(2(5(x1))) 0.85/0.87 #70: #0(4(1(2(x1)))) -> #2(5(x1)) 0.85/0.87 #71: #2(3(1(x1))) -> #0(2(1(3(5(x1))))) 0.85/0.87 #72: #2(3(1(x1))) -> #2(1(3(5(x1)))) 0.85/0.87 #73: #2(0(3(1(x1)))) -> #2(0(1(3(5(2(x1)))))) 0.85/0.87 #74: #2(0(3(1(x1)))) -> #0(1(3(5(2(x1))))) 0.85/0.87 #75: #2(0(3(1(x1)))) -> #2(x1) 0.85/0.87 #76: #0(3(2(2(x1)))) -> #0(2(2(x1))) 0.85/0.87 #77: #0(4(2(x1))) -> #0(2(1(4(x1)))) 0.85/0.87 #78: #0(4(2(x1))) -> #2(1(4(x1))) 0.85/0.87 #79: #0(5(3(2(x1)))) -> #0(2(4(5(3(x1))))) 0.85/0.87 #80: #0(5(3(2(x1)))) -> #2(4(5(3(x1)))) 0.85/0.87 #81: #0(4(2(x1))) -> #0(2(4(3(x1)))) 0.85/0.87 #82: #0(4(2(x1))) -> #2(4(3(x1))) 0.85/0.87 #83: #0(3(2(1(x1)))) -> #0(0(3(4(2(1(x1)))))) 0.85/0.87 #84: #0(3(2(1(x1)))) -> #0(3(4(2(1(x1))))) 0.85/0.87 #85: #2(5(3(2(x1)))) -> #2(5(2(3(3(x1))))) 0.85/0.87 #86: #2(5(3(2(x1)))) -> #2(3(3(x1))) 0.85/0.87 #87: #2(3(1(x1))) -> #2(x1) 0.85/0.87 #88: #0(4(1(x1))) -> #0(2(1(4(x1)))) 0.85/0.87 #89: #0(4(1(x1))) -> #2(1(4(x1))) 0.85/0.87 #90: #0(1(2(x1))) -> #0(0(2(1(4(4(x1)))))) 0.85/0.87 #91: #0(1(2(x1))) -> #0(2(1(4(4(x1))))) 0.85/0.87 #92: #0(1(2(x1))) -> #2(1(4(4(x1)))) 0.85/0.87 #93: #0(1(2(x1))) -> #0(0(2(1(x1)))) 0.85/0.87 #94: #0(1(2(x1))) -> #0(2(1(x1))) 0.85/0.87 #95: #0(1(2(x1))) -> #2(1(x1)) 0.85/0.87 #96: #0(3(2(x1))) -> #0(2(3(4(x1)))) 0.85/0.87 #97: #0(3(2(x1))) -> #2(3(4(x1))) 0.85/0.87 #98: #0(4(1(x1))) -> #0(1(4(4(x1)))) 0.85/0.87 #99: #0(3(1(x1))) -> #0(1(3(4(0(x1))))) 0.85/0.87 #100: #0(3(1(x1))) -> #0(x1) 0.85/0.87 #101: #0(4(2(x1))) -> #0(2(3(4(x1)))) 0.85/0.87 #102: #0(4(2(x1))) -> #2(3(4(x1))) 0.85/0.87 Number of SCCs: 2, DPs: 11 0.85/0.87 SCC { #22 #43 #75 #87 } 0.85/0.87 POLO(Sum)... succeeded. 0.85/0.87 #0 w: 0 0.85/0.87 1 w: x1 + 1 0.85/0.87 4 w: 0 0.85/0.87 5 w: 0 0.85/0.87 3 w: x1 0.85/0.87 #2 w: x1 0.85/0.87 0 w: x1 0.85/0.87 2 w: x1 0.85/0.87 USABLE RULES: { } 0.85/0.87 Removed DPs: #22 #43 #75 #87 0.85/0.87 Number of SCCs: 1, DPs: 7 0.85/0.87 SCC { #8 #29 #32 #49 #51 #61 #100 } 0.85/0.87 POLO(Sum)... succeeded. 0.85/0.87 #0 w: x1 0.85/0.87 1 w: x1 + 1 0.85/0.87 4 w: x1 0.85/0.87 5 w: x1 + 1 0.85/0.87 3 w: x1 0.85/0.87 #2 w: 0 0.85/0.87 0 w: x1 0.85/0.87 2 w: x1 + 1 0.85/0.87 USABLE RULES: { } 0.85/0.87 Removed DPs: #8 #29 #32 #49 #51 #61 #100 0.85/0.87 Number of SCCs: 0, DPs: 0 0.85/0.87 EOF