YES Input TRS: 1: 1(3(3(x1))) -> 3(5(3(2(5(0(2(4(5(4(x1)))))))))) 2: 0(3(3(3(x1)))) -> 5(4(3(5(3(0(5(4(4(0(x1)))))))))) 3: 0(3(3(3(1(x1))))) -> 5(4(4(0(3(1(0(5(1(0(x1)))))))))) 4: 1(2(3(3(3(x1))))) -> 4(1(1(2(3(5(0(4(0(5(x1)))))))))) 5: 1(4(4(2(2(x1))))) -> 1(1(2(0(1(1(1(0(2(2(x1)))))))))) 6: 0(3(3(1(4(3(x1)))))) -> 4(4(3(0(2(3(0(3(0(0(x1)))))))))) 7: 3(3(3(3(4(0(x1)))))) -> 3(0(0(2(1(0(5(3(5(4(x1)))))))))) 8: 4(0(1(3(4(0(x1)))))) -> 2(2(3(0(0(0(5(0(0(0(x1)))))))))) 9: 4(1(4(4(4(1(x1)))))) -> 4(1(0(3(3(5(5(5(4(1(x1)))))))))) 10: 0(1(3(5(2(2(3(x1))))))) -> 0(3(0(0(5(0(0(4(4(3(x1)))))))))) 11: 0(2(3(1(3(2(5(x1))))))) -> 0(4(3(1(2(3(2(3(2(0(x1)))))))))) 12: 1(1(3(3(5(3(1(x1))))))) -> 3(5(0(5(3(2(5(0(0(1(x1)))))))))) 13: 3(5(2(0(1(3(3(x1))))))) -> 3(4(3(2(3(2(4(4(5(5(x1)))))))))) 14: 4(1(4(2(4(0(1(x1))))))) -> 5(2(2(1(0(5(5(4(5(1(x1)))))))))) 15: 4(5(1(2(4(4(4(x1))))))) -> 4(1(1(4(5(3(0(1(0(4(x1)))))))))) 16: 5(1(4(5(3(3(3(x1))))))) -> 5(1(4(5(3(4(4(2(3(2(x1)))))))))) Number of strict rules: 16 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #0(3(3(3(x1)))) -> #5(4(3(5(3(0(5(4(4(0(x1)))))))))) #2: #0(3(3(3(x1)))) -> #4(3(5(3(0(5(4(4(0(x1))))))))) #3: #0(3(3(3(x1)))) -> #3(5(3(0(5(4(4(0(x1)))))))) #4: #0(3(3(3(x1)))) -> #5(3(0(5(4(4(0(x1))))))) #5: #0(3(3(3(x1)))) -> #3(0(5(4(4(0(x1)))))) #6: #0(3(3(3(x1)))) -> #0(5(4(4(0(x1))))) #7: #0(3(3(3(x1)))) -> #5(4(4(0(x1)))) #8: #0(3(3(3(x1)))) -> #4(4(0(x1))) #9: #0(3(3(3(x1)))) -> #4(0(x1)) #10: #0(3(3(3(x1)))) -> #0(x1) #11: #0(3(3(1(4(3(x1)))))) -> #4(4(3(0(2(3(0(3(0(0(x1)))))))))) #12: #0(3(3(1(4(3(x1)))))) -> #4(3(0(2(3(0(3(0(0(x1))))))))) #13: #0(3(3(1(4(3(x1)))))) -> #3(0(2(3(0(3(0(0(x1)))))))) #14: #0(3(3(1(4(3(x1)))))) -> #0(2(3(0(3(0(0(x1))))))) #15: #0(3(3(1(4(3(x1)))))) -> #3(0(3(0(0(x1))))) #16: #0(3(3(1(4(3(x1)))))) -> #0(3(0(0(x1)))) #17: #0(3(3(1(4(3(x1)))))) -> #3(0(0(x1))) #18: #0(3(3(1(4(3(x1)))))) -> #0(0(x1)) #19: #0(3(3(1(4(3(x1)))))) -> #0(x1) #20: #3(5(2(0(1(3(3(x1))))))) -> #3(4(3(2(3(2(4(4(5(5(x1)))))))))) #21: #3(5(2(0(1(3(3(x1))))))) -> #4(3(2(3(2(4(4(5(5(x1))))))))) #22: #3(5(2(0(1(3(3(x1))))))) -> #3(2(3(2(4(4(5(5(x1)))))))) #23: #3(5(2(0(1(3(3(x1))))))) -> #3(2(4(4(5(5(x1)))))) #24: #3(5(2(0(1(3(3(x1))))))) -> #4(4(5(5(x1)))) #25: #3(5(2(0(1(3(3(x1))))))) -> #4(5(5(x1))) #26: #3(5(2(0(1(3(3(x1))))))) -> #5(5(x1)) #27: #3(5(2(0(1(3(3(x1))))))) -> #5(x1) #28: #4(1(4(4(4(1(x1)))))) -> #4(1(0(3(3(5(5(5(4(1(x1)))))))))) #29: #4(1(4(4(4(1(x1)))))) -> #1(0(3(3(5(5(5(4(1(x1))))))))) #30: #4(1(4(4(4(1(x1)))))) -> #0(3(3(5(5(5(4(1(x1)))))))) #31: #4(1(4(4(4(1(x1)))))) -> #3(3(5(5(5(4(1(x1))))))) #32: #4(1(4(4(4(1(x1)))))) -> #3(5(5(5(4(1(x1)))))) #33: #4(1(4(4(4(1(x1)))))) -> #5(5(5(4(1(x1))))) #34: #4(1(4(4(4(1(x1)))))) -> #5(5(4(1(x1)))) #35: #4(1(4(4(4(1(x1)))))) -> #5(4(1(x1))) #36: #0(2(3(1(3(2(5(x1))))))) -> #0(4(3(1(2(3(2(3(2(0(x1)))))))))) #37: #0(2(3(1(3(2(5(x1))))))) -> #4(3(1(2(3(2(3(2(0(x1))))))))) #38: #0(2(3(1(3(2(5(x1))))))) -> #3(1(2(3(2(3(2(0(x1)))))))) #39: #0(2(3(1(3(2(5(x1))))))) -> #1(2(3(2(3(2(0(x1))))))) #40: #0(2(3(1(3(2(5(x1))))))) -> #3(2(3(2(0(x1))))) #41: #0(2(3(1(3(2(5(x1))))))) -> #3(2(0(x1))) #42: #0(2(3(1(3(2(5(x1))))))) -> #0(x1) #43: #1(1(3(3(5(3(1(x1))))))) -> #3(5(0(5(3(2(5(0(0(1(x1)))))))))) #44: #1(1(3(3(5(3(1(x1))))))) -> #5(0(5(3(2(5(0(0(1(x1))))))))) #45: #1(1(3(3(5(3(1(x1))))))) -> #0(5(3(2(5(0(0(1(x1)))))))) #46: #1(1(3(3(5(3(1(x1))))))) -> #5(3(2(5(0(0(1(x1))))))) #47: #1(1(3(3(5(3(1(x1))))))) -> #3(2(5(0(0(1(x1)))))) #48: #1(1(3(3(5(3(1(x1))))))) -> #5(0(0(1(x1)))) #49: #1(1(3(3(5(3(1(x1))))))) -> #0(0(1(x1))) #50: #1(1(3(3(5(3(1(x1))))))) -> #0(1(x1)) #51: #4(1(4(2(4(0(1(x1))))))) -> #5(2(2(1(0(5(5(4(5(1(x1)))))))))) #52: #4(1(4(2(4(0(1(x1))))))) -> #1(0(5(5(4(5(1(x1))))))) #53: #4(1(4(2(4(0(1(x1))))))) -> #0(5(5(4(5(1(x1)))))) #54: #4(1(4(2(4(0(1(x1))))))) -> #5(5(4(5(1(x1))))) #55: #4(1(4(2(4(0(1(x1))))))) -> #5(4(5(1(x1)))) #56: #4(1(4(2(4(0(1(x1))))))) -> #4(5(1(x1))) #57: #4(1(4(2(4(0(1(x1))))))) -> #5(1(x1)) #58: #3(3(3(3(4(0(x1)))))) -> #3(0(0(2(1(0(5(3(5(4(x1)))))))))) #59: #3(3(3(3(4(0(x1)))))) -> #0(0(2(1(0(5(3(5(4(x1))))))))) #60: #3(3(3(3(4(0(x1)))))) -> #0(2(1(0(5(3(5(4(x1)))))))) #61: #3(3(3(3(4(0(x1)))))) -> #1(0(5(3(5(4(x1)))))) #62: #3(3(3(3(4(0(x1)))))) -> #0(5(3(5(4(x1))))) #63: #3(3(3(3(4(0(x1)))))) -> #5(3(5(4(x1)))) #64: #3(3(3(3(4(0(x1)))))) -> #3(5(4(x1))) #65: #3(3(3(3(4(0(x1)))))) -> #5(4(x1)) #66: #3(3(3(3(4(0(x1)))))) -> #4(x1) #67: #0(1(3(5(2(2(3(x1))))))) -> #0(3(0(0(5(0(0(4(4(3(x1)))))))))) #68: #0(1(3(5(2(2(3(x1))))))) -> #3(0(0(5(0(0(4(4(3(x1))))))))) #69: #0(1(3(5(2(2(3(x1))))))) -> #0(0(5(0(0(4(4(3(x1)))))))) #70: #0(1(3(5(2(2(3(x1))))))) -> #0(5(0(0(4(4(3(x1))))))) #71: #0(1(3(5(2(2(3(x1))))))) -> #5(0(0(4(4(3(x1)))))) #72: #0(1(3(5(2(2(3(x1))))))) -> #0(0(4(4(3(x1))))) #73: #0(1(3(5(2(2(3(x1))))))) -> #0(4(4(3(x1)))) #74: #0(1(3(5(2(2(3(x1))))))) -> #4(4(3(x1))) #75: #0(1(3(5(2(2(3(x1))))))) -> #4(3(x1)) #76: #1(4(4(2(2(x1))))) -> #1(1(2(0(1(1(1(0(2(2(x1)))))))))) #77: #1(4(4(2(2(x1))))) -> #1(2(0(1(1(1(0(2(2(x1))))))))) #78: #1(4(4(2(2(x1))))) -> #0(1(1(1(0(2(2(x1))))))) #79: #1(4(4(2(2(x1))))) -> #1(1(1(0(2(2(x1)))))) #80: #1(4(4(2(2(x1))))) -> #1(1(0(2(2(x1))))) #81: #1(4(4(2(2(x1))))) -> #1(0(2(2(x1)))) #82: #1(4(4(2(2(x1))))) -> #0(2(2(x1))) #83: #5(1(4(5(3(3(3(x1))))))) -> #5(1(4(5(3(4(4(2(3(2(x1)))))))))) #84: #5(1(4(5(3(3(3(x1))))))) -> #1(4(5(3(4(4(2(3(2(x1))))))))) #85: #5(1(4(5(3(3(3(x1))))))) -> #4(5(3(4(4(2(3(2(x1)))))))) #86: #5(1(4(5(3(3(3(x1))))))) -> #5(3(4(4(2(3(2(x1))))))) #87: #5(1(4(5(3(3(3(x1))))))) -> #3(4(4(2(3(2(x1)))))) #88: #5(1(4(5(3(3(3(x1))))))) -> #4(4(2(3(2(x1))))) #89: #5(1(4(5(3(3(3(x1))))))) -> #4(2(3(2(x1)))) #90: #5(1(4(5(3(3(3(x1))))))) -> #3(2(x1)) #91: #0(3(3(3(1(x1))))) -> #5(4(4(0(3(1(0(5(1(0(x1)))))))))) #92: #0(3(3(3(1(x1))))) -> #4(4(0(3(1(0(5(1(0(x1))))))))) #93: #0(3(3(3(1(x1))))) -> #4(0(3(1(0(5(1(0(x1)))))))) #94: #0(3(3(3(1(x1))))) -> #0(3(1(0(5(1(0(x1))))))) #95: #0(3(3(3(1(x1))))) -> #3(1(0(5(1(0(x1)))))) #96: #0(3(3(3(1(x1))))) -> #1(0(5(1(0(x1))))) #97: #0(3(3(3(1(x1))))) -> #0(5(1(0(x1)))) #98: #0(3(3(3(1(x1))))) -> #5(1(0(x1))) #99: #0(3(3(3(1(x1))))) -> #1(0(x1)) #100: #0(3(3(3(1(x1))))) -> #0(x1) #101: #1(3(3(x1))) -> #3(5(3(2(5(0(2(4(5(4(x1)))))))))) #102: #1(3(3(x1))) -> #5(3(2(5(0(2(4(5(4(x1))))))))) #103: #1(3(3(x1))) -> #3(2(5(0(2(4(5(4(x1)))))))) #104: #1(3(3(x1))) -> #5(0(2(4(5(4(x1)))))) #105: #1(3(3(x1))) -> #0(2(4(5(4(x1))))) #106: #1(3(3(x1))) -> #4(5(4(x1))) #107: #1(3(3(x1))) -> #5(4(x1)) #108: #1(3(3(x1))) -> #4(x1) #109: #4(0(1(3(4(0(x1)))))) -> #3(0(0(0(5(0(0(0(x1)))))))) #110: #4(0(1(3(4(0(x1)))))) -> #0(0(0(5(0(0(0(x1))))))) #111: #4(0(1(3(4(0(x1)))))) -> #0(0(5(0(0(0(x1)))))) #112: #4(0(1(3(4(0(x1)))))) -> #0(5(0(0(0(x1))))) #113: #4(0(1(3(4(0(x1)))))) -> #5(0(0(0(x1)))) #114: #4(0(1(3(4(0(x1)))))) -> #0(0(0(x1))) #115: #4(0(1(3(4(0(x1)))))) -> #0(0(x1)) #116: #4(5(1(2(4(4(4(x1))))))) -> #4(1(1(4(5(3(0(1(0(4(x1)))))))))) #117: #4(5(1(2(4(4(4(x1))))))) -> #1(1(4(5(3(0(1(0(4(x1))))))))) #118: #4(5(1(2(4(4(4(x1))))))) -> #1(4(5(3(0(1(0(4(x1)))))))) #119: #4(5(1(2(4(4(4(x1))))))) -> #4(5(3(0(1(0(4(x1))))))) #120: #4(5(1(2(4(4(4(x1))))))) -> #5(3(0(1(0(4(x1)))))) #121: #4(5(1(2(4(4(4(x1))))))) -> #3(0(1(0(4(x1))))) #122: #4(5(1(2(4(4(4(x1))))))) -> #0(1(0(4(x1)))) #123: #4(5(1(2(4(4(4(x1))))))) -> #1(0(4(x1))) #124: #4(5(1(2(4(4(4(x1))))))) -> #0(4(x1)) #125: #1(2(3(3(3(x1))))) -> #4(1(1(2(3(5(0(4(0(5(x1)))))))))) #126: #1(2(3(3(3(x1))))) -> #1(1(2(3(5(0(4(0(5(x1))))))))) #127: #1(2(3(3(3(x1))))) -> #1(2(3(5(0(4(0(5(x1)))))))) #128: #1(2(3(3(3(x1))))) -> #3(5(0(4(0(5(x1)))))) #129: #1(2(3(3(3(x1))))) -> #5(0(4(0(5(x1))))) #130: #1(2(3(3(3(x1))))) -> #0(4(0(5(x1)))) #131: #1(2(3(3(3(x1))))) -> #4(0(5(x1))) #132: #1(2(3(3(3(x1))))) -> #0(5(x1)) #133: #1(2(3(3(3(x1))))) -> #5(x1) Number of SCCs: 1, DPs: 4 SCC { #10 #19 #42 #100 } POLO(Sum)... succeeded. #0 w: x1 1 w: x1 + 1 4 w: x1 5 w: x1 + 1 3 w: x1 + 20653 #4 w: 0 0 w: 0 #3 w: 0 #5 w: 0 2 w: x1 + 40650 #1 w: 0 USABLE RULES: { } Removed DPs: #10 #19 #42 #100 Number of SCCs: 0, DPs: 0