0.78/0.81 YES 0.78/0.82 Input TRS: 0.78/0.82 1: 0(0(0(x1))) -> 0(0(1(0(2(x1))))) 0.78/0.82 2: 0(3(2(x1))) -> 4(3(0(2(x1)))) 0.78/0.82 3: 0(0(4(2(x1)))) -> 0(4(1(0(2(x1))))) 0.78/0.82 4: 0(0(5(2(x1)))) -> 5(0(2(3(0(x1))))) 0.78/0.82 5: 0(1(3(2(x1)))) -> 0(3(1(0(2(x1))))) 0.78/0.82 6: 0(1(3(2(x1)))) -> 3(1(1(0(2(x1))))) 0.78/0.82 7: 0(1(3(2(x1)))) -> 0(1(4(3(1(2(x1)))))) 0.78/0.82 8: 0(4(1(3(x1)))) -> 1(4(3(0(2(2(x1)))))) 0.78/0.82 9: 0(4(2(3(x1)))) -> 5(4(3(0(2(x1))))) 0.78/0.82 10: 0(4(5(2(x1)))) -> 5(0(2(2(4(2(x1)))))) 0.78/0.82 11: 0(5(1(3(x1)))) -> 3(0(1(5(1(2(x1)))))) 0.78/0.82 12: 0(5(3(0(x1)))) -> 5(0(1(4(3(0(x1)))))) 0.78/0.82 13: 0(5(3(2(x1)))) -> 5(1(5(0(2(3(x1)))))) 0.78/0.82 14: 4(0(2(3(x1)))) -> 3(4(3(0(2(x1))))) 0.78/0.82 15: 4(0(2(3(x1)))) -> 4(3(5(0(2(x1))))) 0.78/0.82 16: 4(4(1(3(x1)))) -> 4(3(4(1(2(2(x1)))))) 0.78/0.82 17: 4(5(2(0(x1)))) -> 4(2(1(5(0(2(x1)))))) 0.78/0.82 18: 4(5(2(0(x1)))) -> 5(1(0(2(2(4(x1)))))) 0.78/0.82 19: 5(1(0(0(x1)))) -> 5(1(0(2(0(x1))))) 0.78/0.82 20: 5(1(0(0(x1)))) -> 5(2(1(0(2(0(x1)))))) 0.78/0.82 21: 5(1(3(0(x1)))) -> 5(0(2(1(3(x1))))) 0.78/0.82 22: 5(1(3(2(x1)))) -> 3(0(1(5(1(2(x1)))))) 0.78/0.82 23: 5(1(3(2(x1)))) -> 3(1(1(5(2(2(x1)))))) 0.78/0.82 24: 5(3(0(0(x1)))) -> 5(0(4(3(0(2(x1)))))) 0.78/0.82 25: 0(0(4(1(3(x1))))) -> 4(0(1(0(2(3(x1)))))) 0.78/0.82 26: 0(0(4(5(2(x1))))) -> 5(0(1(0(2(4(x1)))))) 0.78/0.82 27: 0(0(5(3(2(x1))))) -> 0(1(5(0(2(3(x1)))))) 0.78/0.82 28: 0(1(0(5(2(x1))))) -> 1(0(2(5(1(0(x1)))))) 0.78/0.82 29: 0(1(4(5(2(x1))))) -> 2(1(5(0(2(4(x1)))))) 0.78/0.82 30: 0(3(1(4(0(x1))))) -> 4(1(0(1(0(3(x1)))))) 0.78/0.82 31: 0(3(2(0(0(x1))))) -> 0(0(1(0(2(3(x1)))))) 0.78/0.82 32: 0(3(4(0(2(x1))))) -> 4(3(0(2(1(0(x1)))))) 0.78/0.82 33: 0(3(4(0(2(x1))))) -> 4(3(0(2(3(0(x1)))))) 0.78/0.82 34: 0(3(4(4(2(x1))))) -> 4(0(3(4(2(2(x1)))))) 0.78/0.82 35: 0(4(2(5(3(x1))))) -> 0(4(3(5(1(2(x1)))))) 0.78/0.82 36: 0(5(1(2(0(x1))))) -> 3(0(1(5(0(2(x1)))))) 0.78/0.82 37: 4(4(2(2(0(x1))))) -> 4(1(0(2(2(4(x1)))))) 0.78/0.82 38: 4(5(1(2(0(x1))))) -> 5(0(4(1(2(2(x1)))))) 0.78/0.82 39: 4(5(2(3(2(x1))))) -> 5(4(3(5(2(2(x1)))))) 0.78/0.82 40: 5(1(0(3(2(x1))))) -> 5(0(3(1(0(2(x1)))))) 0.78/0.82 41: 5(1(0(5(3(x1))))) -> 5(5(0(1(3(1(x1)))))) 0.78/0.82 42: 5(1(3(0(0(x1))))) -> 3(5(0(1(2(0(x1)))))) 0.78/0.82 43: 5(1(3(0(2(x1))))) -> 3(0(2(1(5(2(x1)))))) 0.78/0.82 44: 5(1(3(0(2(x1))))) -> 5(0(1(0(3(2(x1)))))) 0.78/0.82 45: 5(1(3(0(2(x1))))) -> 5(0(1(1(2(3(x1)))))) 0.78/0.82 46: 5(1(3(2(0(x1))))) -> 5(3(1(5(2(0(x1)))))) 0.78/0.82 47: 5(1(3(2(3(x1))))) -> 3(4(3(5(1(2(x1)))))) 0.78/0.82 48: 5(1(4(5(2(x1))))) -> 5(1(4(1(5(2(x1)))))) 0.78/0.82 49: 5(5(1(3(2(x1))))) -> 3(5(5(4(1(2(x1)))))) 0.78/0.82 Number of strict rules: 49 0.78/0.82 Direct POLO(bPol) ... failed. 0.78/0.82 Uncurrying 5 0.78/0.82 1: 0(0(0(x1))) -> 0(0(1(0(2(x1))))) 0.78/0.82 2: 0(3(2(x1))) -> 4(3(0(2(x1)))) 0.78/0.82 3: 0(0(4(2(x1)))) -> 0(4(1(0(2(x1))))) 0.78/0.82 4: 0(0(5^1_2(x1))) -> 5(0(2(3(0(x1))))) 0.78/0.82 5: 0(1(3(2(x1)))) -> 0(3(1(0(2(x1))))) 0.78/0.82 6: 0(1(3(2(x1)))) -> 3(1(1(0(2(x1))))) 0.78/0.82 7: 0(1(3(2(x1)))) -> 0(1(4(3(1(2(x1)))))) 0.78/0.82 8: 0(4(1(3(x1)))) -> 1(4(3(0(2(2(x1)))))) 0.78/0.82 9: 0(4(2(3(x1)))) -> 5(4(3(0(2(x1))))) 0.78/0.82 10: 0(4(5^1_2(x1))) -> 5(0(2(2(4(2(x1)))))) 0.78/0.82 11: 0(5^1_1(3(x1))) -> 3(0(1(5^1_1(2(x1))))) 0.78/0.82 12: 0(5^1_3(0(x1))) -> 5(0(1(4(3(0(x1)))))) 0.78/0.82 13: 0(5^1_3(2(x1))) -> 5^1_1(5(0(2(3(x1))))) 0.78/0.82 14: 4(0(2(3(x1)))) -> 3(4(3(0(2(x1))))) 0.78/0.82 15: 4(0(2(3(x1)))) -> 4(3(5(0(2(x1))))) 0.78/0.82 16: 4(4(1(3(x1)))) -> 4(3(4(1(2(2(x1)))))) 0.78/0.82 17: 4(5^1_2(0(x1))) -> 4(2(1(5(0(2(x1)))))) 0.78/0.82 18: 4(5^1_2(0(x1))) -> 5^1_1(0(2(2(4(x1))))) 0.78/0.82 19: 5^1_1(0(0(x1))) -> 5^1_1(0(2(0(x1)))) 0.78/0.82 20: 5^1_1(0(0(x1))) -> 5^1_2(1(0(2(0(x1))))) 0.78/0.82 21: 5^1_1(3(0(x1))) -> 5(0(2(1(3(x1))))) 0.78/0.82 22: 5^1_1(3(2(x1))) -> 3(0(1(5^1_1(2(x1))))) 0.78/0.82 23: 5^1_1(3(2(x1))) -> 3(1(1(5^1_2(2(x1))))) 0.78/0.82 24: 5^1_3(0(0(x1))) -> 5(0(4(3(0(2(x1)))))) 0.78/0.82 25: 0(0(4(1(3(x1))))) -> 4(0(1(0(2(3(x1)))))) 0.78/0.82 26: 0(0(4(5^1_2(x1)))) -> 5(0(1(0(2(4(x1)))))) 0.78/0.82 27: 0(0(5^1_3(2(x1)))) -> 0(1(5(0(2(3(x1)))))) 0.78/0.82 28: 0(1(0(5^1_2(x1)))) -> 1(0(2(5^1_1(0(x1))))) 0.78/0.82 29: 0(1(4(5^1_2(x1)))) -> 2(1(5(0(2(4(x1)))))) 0.78/0.82 30: 0(3(1(4(0(x1))))) -> 4(1(0(1(0(3(x1)))))) 0.78/0.82 31: 0(3(2(0(0(x1))))) -> 0(0(1(0(2(3(x1)))))) 0.78/0.82 32: 0(3(4(0(2(x1))))) -> 4(3(0(2(1(0(x1)))))) 0.78/0.82 33: 0(3(4(0(2(x1))))) -> 4(3(0(2(3(0(x1)))))) 0.78/0.82 34: 0(3(4(4(2(x1))))) -> 4(0(3(4(2(2(x1)))))) 0.78/0.82 35: 0(4(2(5^1_3(x1)))) -> 0(4(3(5^1_1(2(x1))))) 0.78/0.82 36: 0(5^1_1(2(0(x1)))) -> 3(0(1(5(0(2(x1)))))) 0.78/0.82 37: 4(4(2(2(0(x1))))) -> 4(1(0(2(2(4(x1)))))) 0.78/0.82 38: 4(5^1_1(2(0(x1)))) -> 5(0(4(1(2(2(x1)))))) 0.78/0.82 39: 4(5^1_2(3(2(x1)))) -> 5(4(3(5^1_2(2(x1))))) 0.78/0.82 40: 5^1_1(0(3(2(x1)))) -> 5(0(3(1(0(2(x1)))))) 0.78/0.82 41: 5^1_1(0(5^1_3(x1))) -> 5(5(0(1(3(1(x1)))))) 0.78/0.82 42: 5^1_1(3(0(0(x1)))) -> 3(5(0(1(2(0(x1)))))) 0.78/0.82 43: 5^1_1(3(0(2(x1)))) -> 3(0(2(1(5^1_2(x1))))) 0.78/0.82 44: 5^1_1(3(0(2(x1)))) -> 5(0(1(0(3(2(x1)))))) 0.78/0.82 45: 5^1_1(3(0(2(x1)))) -> 5(0(1(1(2(3(x1)))))) 0.78/0.82 46: 5^1_1(3(2(0(x1)))) -> 5^1_3(1(5^1_2(0(x1)))) 0.78/0.82 47: 5^1_1(3(2(3(x1)))) -> 3(4(3(5^1_1(2(x1))))) 0.78/0.82 48: 5^1_1(4(5^1_2(x1))) -> 5^1_1(4(1(5^1_2(x1)))) 0.78/0.82 49: 5(5^1_1(3(2(x1)))) -> 3(5(5(4(1(2(x1)))))) 0.78/0.82 50: 5(2(_1)) ->= 5^1_2(_1) 0.78/0.82 51: 5(1(_1)) ->= 5^1_1(_1) 0.78/0.82 52: 5(3(_1)) ->= 5^1_3(_1) 0.78/0.82 Number of strict rules: 49 0.78/0.82 Direct POLO(bPol) ... failed. 0.78/0.82 Dependency Pairs: 0.78/0.82 #1: #0(3(2(x1))) -> #4(3(0(2(x1)))) 0.78/0.82 #2: #0(3(2(x1))) -> #0(2(x1)) 0.78/0.82 #3: #5^1_1(3(0(2(x1)))) -> #0(2(1(5^1_2(x1)))) 0.78/0.82 #4: #0(1(4(5^1_2(x1)))) -> #5(0(2(4(x1)))) 0.78/0.82 #5: #0(1(4(5^1_2(x1)))) -> #0(2(4(x1))) 0.78/0.82 #6: #0(1(4(5^1_2(x1)))) -> #4(x1) 0.78/0.82 #7: #0(4(2(5^1_3(x1)))) -> #0(4(3(5^1_1(2(x1))))) 0.78/0.82 #8: #0(4(2(5^1_3(x1)))) -> #4(3(5^1_1(2(x1)))) 0.78/0.82 #9: #0(4(2(5^1_3(x1)))) -> #5^1_1(2(x1)) 0.78/0.82 #10: #5^1_1(3(2(0(x1)))) -> #5^1_3(1(5^1_2(0(x1)))) 0.78/0.82 #11: #5^1_1(3(0(0(x1)))) -> #5(0(1(2(0(x1))))) 0.78/0.82 #12: #5^1_1(3(0(0(x1)))) -> #0(1(2(0(x1)))) 0.78/0.82 #13: #5^1_1(0(5^1_3(x1))) -> #5(5(0(1(3(1(x1)))))) 0.78/0.82 #14: #5^1_1(0(5^1_3(x1))) -> #5(0(1(3(1(x1))))) 0.78/0.82 #15: #5^1_1(0(5^1_3(x1))) -> #0(1(3(1(x1)))) 0.78/0.82 #16: #4(4(2(2(0(x1))))) -> #4(1(0(2(2(4(x1)))))) 0.78/0.82 #17: #4(4(2(2(0(x1))))) -> #0(2(2(4(x1)))) 0.78/0.82 #18: #4(4(2(2(0(x1))))) -> #4(x1) 0.78/0.82 #19: #5^1_1(3(2(3(x1)))) -> #4(3(5^1_1(2(x1)))) 0.78/0.82 #20: #5^1_1(3(2(3(x1)))) -> #5^1_1(2(x1)) 0.78/0.82 #21: #5^1_1(4(5^1_2(x1))) -> #5^1_1(4(1(5^1_2(x1)))) 0.78/0.82 #22: #5^1_1(4(5^1_2(x1))) -> #4(1(5^1_2(x1))) 0.78/0.82 #23: #4(5^1_1(2(0(x1)))) -> #5(0(4(1(2(2(x1)))))) 0.78/0.82 #24: #4(5^1_1(2(0(x1)))) -> #0(4(1(2(2(x1))))) 0.78/0.82 #25: #4(5^1_1(2(0(x1)))) -> #4(1(2(2(x1)))) 0.78/0.82 #26: #0(1(3(2(x1)))) -> #0(2(x1)) 0.78/0.82 #27: #5^1_1(0(3(2(x1)))) -> #5(0(3(1(0(2(x1)))))) 0.78/0.82 #28: #5^1_1(0(3(2(x1)))) -> #0(3(1(0(2(x1))))) 0.78/0.82 #29: #5^1_1(0(3(2(x1)))) -> #0(2(x1)) 0.78/0.82 #30: #5(1(_1)) ->? #5^1_1(_1) 0.78/0.82 #31: #0(5^1_3(2(x1))) -> #5^1_1(5(0(2(3(x1))))) 0.78/0.82 #32: #0(5^1_3(2(x1))) -> #5(0(2(3(x1)))) 0.78/0.82 #33: #0(5^1_3(2(x1))) -> #0(2(3(x1))) 0.78/0.82 #34: #0(4(2(3(x1)))) -> #5(4(3(0(2(x1))))) 0.78/0.82 #35: #0(4(2(3(x1)))) -> #4(3(0(2(x1)))) 0.78/0.82 #36: #0(4(2(3(x1)))) -> #0(2(x1)) 0.78/0.82 #37: #0(5^1_1(3(x1))) -> #0(1(5^1_1(2(x1)))) 0.78/0.82 #38: #0(5^1_1(3(x1))) -> #5^1_1(2(x1)) 0.78/0.82 #39: #5^1_3(0(0(x1))) -> #5(0(4(3(0(2(x1)))))) 0.78/0.82 #40: #5^1_3(0(0(x1))) -> #0(4(3(0(2(x1))))) 0.78/0.82 #41: #5^1_3(0(0(x1))) -> #4(3(0(2(x1)))) 0.78/0.82 #42: #5^1_3(0(0(x1))) -> #0(2(x1)) 0.78/0.82 #43: #5^1_1(3(0(2(x1)))) -> #5(0(1(1(2(3(x1)))))) 0.78/0.82 #44: #5^1_1(3(0(2(x1)))) -> #0(1(1(2(3(x1))))) 0.78/0.82 #45: #0(5^1_3(0(x1))) -> #5(0(1(4(3(0(x1)))))) 0.78/0.82 #46: #0(5^1_3(0(x1))) -> #0(1(4(3(0(x1))))) 0.78/0.82 #47: #0(5^1_3(0(x1))) -> #4(3(0(x1))) 0.78/0.82 #48: #0(3(2(0(0(x1))))) -> #0(0(1(0(2(3(x1)))))) 0.78/0.82 #49: #0(3(2(0(0(x1))))) -> #0(1(0(2(3(x1))))) 0.78/0.82 #50: #0(3(2(0(0(x1))))) -> #0(2(3(x1))) 0.78/0.82 #51: #4(0(2(3(x1)))) -> #4(3(0(2(x1)))) 0.78/0.82 #52: #4(0(2(3(x1)))) -> #0(2(x1)) 0.78/0.82 #53: #0(3(1(4(0(x1))))) -> #4(1(0(1(0(3(x1)))))) 0.78/0.82 #54: #0(3(1(4(0(x1))))) -> #0(1(0(3(x1)))) 0.78/0.82 #55: #0(3(1(4(0(x1))))) -> #0(3(x1)) 0.78/0.82 #56: #5(3(_1)) ->? #5^1_3(_1) 0.78/0.82 #57: #5(5^1_1(3(2(x1)))) -> #5(5(4(1(2(x1))))) 0.78/0.82 #58: #5(5^1_1(3(2(x1)))) -> #5(4(1(2(x1)))) 0.78/0.82 #59: #5(5^1_1(3(2(x1)))) -> #4(1(2(x1))) 0.78/0.82 #60: #0(0(4(1(3(x1))))) -> #4(0(1(0(2(3(x1)))))) 0.78/0.82 #61: #0(0(4(1(3(x1))))) -> #0(1(0(2(3(x1))))) 0.78/0.82 #62: #0(0(4(1(3(x1))))) -> #0(2(3(x1))) 0.78/0.82 #63: #5^1_1(0(0(x1))) -> #0(2(0(x1))) 0.78/0.82 #64: #0(1(3(2(x1)))) -> #0(1(4(3(1(2(x1)))))) 0.78/0.82 #65: #0(1(3(2(x1)))) -> #4(3(1(2(x1)))) 0.78/0.82 #66: #4(5^1_2(3(2(x1)))) -> #5(4(3(5^1_2(2(x1))))) 0.78/0.82 #67: #4(5^1_2(3(2(x1)))) -> #4(3(5^1_2(2(x1)))) 0.78/0.82 #68: #0(4(5^1_2(x1))) -> #5(0(2(2(4(2(x1)))))) 0.78/0.82 #69: #0(4(5^1_2(x1))) -> #0(2(2(4(2(x1))))) 0.78/0.82 #70: #0(4(5^1_2(x1))) -> #4(2(x1)) 0.78/0.82 #71: #0(3(4(0(2(x1))))) -> #4(3(0(2(3(0(x1)))))) 0.78/0.82 #72: #0(3(4(0(2(x1))))) -> #0(2(3(0(x1)))) 0.78/0.82 #73: #0(3(4(0(2(x1))))) -> #0(x1) 0.78/0.82 #74: #0(1(3(2(x1)))) -> #0(3(1(0(2(x1))))) 0.78/0.82 #75: #0(1(3(2(x1)))) -> #0(2(x1)) 0.78/0.82 #76: #5^1_1(3(0(2(x1)))) -> #5(0(1(0(3(2(x1)))))) 0.78/0.82 #77: #5^1_1(3(0(2(x1)))) -> #0(1(0(3(2(x1))))) 0.78/0.82 #78: #5^1_1(3(0(2(x1)))) -> #0(3(2(x1))) 0.78/0.82 #79: #0(1(0(5^1_2(x1)))) -> #0(2(5^1_1(0(x1)))) 0.78/0.82 #80: #0(1(0(5^1_2(x1)))) -> #5^1_1(0(x1)) 0.78/0.82 #81: #0(1(0(5^1_2(x1)))) -> #0(x1) 0.78/0.82 #82: #5^1_1(3(2(x1))) -> #0(1(5^1_1(2(x1)))) 0.78/0.82 #83: #5^1_1(3(2(x1))) -> #5^1_1(2(x1)) 0.78/0.82 #84: #0(3(4(4(2(x1))))) -> #4(0(3(4(2(2(x1)))))) 0.78/0.82 #85: #0(3(4(4(2(x1))))) -> #0(3(4(2(2(x1))))) 0.78/0.82 #86: #0(3(4(4(2(x1))))) -> #4(2(2(x1))) 0.78/0.82 #87: #0(0(5^1_3(2(x1)))) -> #0(1(5(0(2(3(x1)))))) 0.78/0.82 #88: #0(0(5^1_3(2(x1)))) -> #5(0(2(3(x1)))) 0.78/0.82 #89: #0(0(5^1_3(2(x1)))) -> #0(2(3(x1))) 0.78/0.82 #90: #4(5^1_2(0(x1))) -> #4(2(1(5(0(2(x1)))))) 0.78/0.82 #91: #4(5^1_2(0(x1))) -> #5(0(2(x1))) 0.78/0.82 #92: #4(5^1_2(0(x1))) -> #0(2(x1)) 0.78/0.82 #93: #5^1_1(0(0(x1))) -> #5^1_1(0(2(0(x1)))) 0.78/0.82 #94: #5^1_1(0(0(x1))) -> #0(2(0(x1))) 0.78/0.82 #95: #0(3(4(0(2(x1))))) -> #4(3(0(2(1(0(x1)))))) 0.78/0.82 #96: #0(3(4(0(2(x1))))) -> #0(2(1(0(x1)))) 0.78/0.82 #97: #0(3(4(0(2(x1))))) -> #0(x1) 0.78/0.82 #98: #0(0(4(5^1_2(x1)))) -> #5(0(1(0(2(4(x1)))))) 0.78/0.82 #99: #0(0(4(5^1_2(x1)))) -> #0(1(0(2(4(x1))))) 0.78/0.82 #100: #0(0(4(5^1_2(x1)))) -> #0(2(4(x1))) 0.78/0.82 #101: #0(0(4(5^1_2(x1)))) -> #4(x1) 0.78/0.82 #102: #0(5^1_1(2(0(x1)))) -> #0(1(5(0(2(x1))))) 0.78/0.82 #103: #0(5^1_1(2(0(x1)))) -> #5(0(2(x1))) 0.78/0.82 #104: #0(5^1_1(2(0(x1)))) -> #0(2(x1)) 0.78/0.82 #105: #5^1_1(3(0(x1))) -> #5(0(2(1(3(x1))))) 0.78/0.82 #106: #5^1_1(3(0(x1))) -> #0(2(1(3(x1)))) 0.78/0.82 #107: #4(4(1(3(x1)))) -> #4(3(4(1(2(2(x1)))))) 0.78/0.82 #108: #4(4(1(3(x1)))) -> #4(1(2(2(x1)))) 0.78/0.82 #109: #0(0(4(2(x1)))) -> #0(4(1(0(2(x1))))) 0.78/0.82 #110: #0(0(4(2(x1)))) -> #4(1(0(2(x1)))) 0.78/0.82 #111: #0(0(4(2(x1)))) -> #0(2(x1)) 0.78/0.82 #112: #0(0(0(x1))) -> #0(0(1(0(2(x1))))) 0.78/0.82 #113: #0(0(0(x1))) -> #0(1(0(2(x1)))) 0.78/0.82 #114: #0(0(0(x1))) -> #0(2(x1)) 0.78/0.82 #115: #0(4(1(3(x1)))) -> #4(3(0(2(2(x1))))) 0.78/0.82 #116: #0(4(1(3(x1)))) -> #0(2(2(x1))) 0.78/0.82 #117: #4(0(2(3(x1)))) -> #4(3(5(0(2(x1))))) 0.78/0.82 #118: #4(0(2(3(x1)))) -> #5(0(2(x1))) 0.78/0.82 #119: #4(0(2(3(x1)))) -> #0(2(x1)) 0.78/0.82 #120: #0(0(5^1_2(x1))) -> #5(0(2(3(0(x1))))) 0.78/0.82 #121: #0(0(5^1_2(x1))) -> #0(2(3(0(x1)))) 0.78/0.82 #122: #0(0(5^1_2(x1))) -> #0(x1) 0.78/0.82 #123: #4(5^1_2(0(x1))) -> #5^1_1(0(2(2(4(x1))))) 0.78/0.82 #124: #4(5^1_2(0(x1))) -> #0(2(2(4(x1)))) 0.78/0.82 #125: #4(5^1_2(0(x1))) -> #4(x1) 0.78/0.82 Number of SCCs: 2, DPs: 7 0.78/0.82 SCC { #18 #125 } 0.78/0.82 POLO(Sum)... succeeded. 0.78/0.82 5^1_2 w: x1 0.78/0.82 #0 w: 0 0.78/0.82 1 w: 0 0.78/0.82 5^1_1 w: 0 0.78/0.82 4 w: x1 0.78/0.82 #5^1_1 w: 0 0.78/0.82 5^1_3 w: 0 0.78/0.82 5 w: 0 0.78/0.82 3 w: 0 0.78/0.82 #4 w: x1 0.78/0.82 0 w: x1 + 1 0.78/0.82 #5^1_3 w: 0 0.78/0.82 #5 w: 0 0.78/0.82 2 w: x1 0.78/0.82 USABLE RULES: { } 0.78/0.82 Removed DPs: #18 #125 0.78/0.82 Number of SCCs: 1, DPs: 5 0.78/0.82 SCC { #55 #73 #81 #97 #122 } 0.78/0.82 POLO(Sum)... succeeded. 0.78/0.82 5^1_2 w: x1 + 1 0.78/0.82 #0 w: x1 0.78/0.82 1 w: x1 0.78/0.82 5^1_1 w: 0 0.78/0.82 4 w: x1 0.78/0.82 #5^1_1 w: 0 0.78/0.82 5^1_3 w: 0 0.78/0.82 5 w: 0 0.78/0.82 3 w: x1 + 1 0.78/0.82 #4 w: 0 0.78/0.82 0 w: x1 + 1 0.78/0.82 #5^1_3 w: 0 0.78/0.82 #5 w: 0 0.78/0.82 2 w: x1 + 1 0.78/0.82 USABLE RULES: { } 0.78/0.82 Removed DPs: #55 #73 #81 #97 #122 0.78/0.82 Number of SCCs: 0, DPs: 0 0.78/0.82 EOF