YES Input TRS: 1: 0(1(2(3(x1)))) -> 0(2(2(3(x1)))) 2: 1(1(4(4(5(x1))))) -> 5(1(0(0(5(x1))))) 3: 2(3(3(2(5(x1))))) -> 3(5(4(5(5(x1))))) 4: 5(1(1(5(3(x1))))) -> 5(1(4(5(3(x1))))) 5: 0(2(5(1(1(4(x1)))))) -> 0(3(2(2(4(5(x1)))))) 6: 1(2(1(4(0(3(x1)))))) -> 4(2(5(4(5(3(x1)))))) 7: 1(5(2(0(4(3(x1)))))) -> 5(0(1(1(1(x1))))) 8: 2(2(1(5(4(0(x1)))))) -> 2(3(5(4(0(3(x1)))))) 9: 4(0(2(3(1(4(4(x1))))))) -> 4(1(3(0(5(0(5(x1))))))) 10: 4(3(5(4(3(2(2(2(x1)))))))) -> 4(1(2(3(4(1(4(x1))))))) 11: 0(2(2(2(3(4(3(3(3(x1))))))))) -> 0(5(4(0(5(3(5(5(3(x1))))))))) 12: 4(5(3(4(1(1(0(5(2(x1))))))))) -> 4(4(3(1(3(2(0(5(2(x1))))))))) 13: 3(3(4(1(0(4(5(1(5(2(x1)))))))))) -> 3(3(4(1(5(0(3(0(2(4(x1)))))))))) 14: 2(4(5(4(0(5(5(1(2(1(4(2(x1)))))))))))) -> 4(1(0(1(1(3(3(0(1(4(2(x1))))))))))) 15: 1(0(0(4(5(4(3(4(5(1(5(4(0(x1))))))))))))) -> 5(3(3(1(2(1(1(0(3(1(3(x1))))))))))) 16: 1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> 4(4(4(3(2(0(1(3(1(2(2(4(5(x1))))))))))))) 17: 4(1(5(4(5(3(3(3(1(2(0(2(0(x1))))))))))))) -> 4(1(4(3(4(4(0(1(3(1(1(5(x1)))))))))))) 18: 2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> 5(5(5(2(0(2(5(0(0(4(3(2(1(4(3(3(1(x1))))))))))))))))) 19: 1(5(1(1(3(0(3(3(3(3(1(1(5(1(5(2(5(2(x1)))))))))))))))))) -> 3(5(4(2(0(5(1(3(4(1(1(2(5(2(4(1(5(2(x1)))))))))))))))))) 20: 2(4(3(3(4(2(3(5(4(0(4(0(2(3(0(3(3(0(x1)))))))))))))))))) -> 2(1(3(0(4(4(1(5(2(1(0(3(0(5(0(1(5(x1))))))))))))))))) 21: 2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> 2(1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))))))) 22: 2(3(5(1(3(0(0(5(0(2(2(4(5(4(0(3(1(4(2(x1))))))))))))))))))) -> 5(2(0(2(0(3(2(3(5(2(2(4(1(3(5(5(1(2(x1)))))))))))))))))) 23: 3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> 3(2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))))) 24: 3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> 3(1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))))) 25: 4(5(1(4(5(3(1(5(5(3(5(0(2(1(2(4(4(5(1(0(4(x1))))))))))))))))))))) -> 4(4(0(2(1(5(2(0(4(5(2(2(3(5(5(2(2(0(3(5(4(x1))))))))))))))))))))) Number of strict rules: 25 Direct POLO(bPol) ... removes: 4 15 8 1 19 17 22 5 10 7 20 25 14 12 13 6 2 1 w: x1 + 152391 4 w: x1 + 121913 5 w: x1 + 121913 3 w: x1 + 121913 0 w: x1 + 121913 2 w: x1 + 121913 Number of strict rules: 8 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #4(0(2(3(1(4(4(x1))))))) -> #4(1(3(0(5(0(5(x1))))))) #2: #4(0(2(3(1(4(4(x1))))))) -> #1(3(0(5(0(5(x1)))))) #3: #4(0(2(3(1(4(4(x1))))))) -> #3(0(5(0(5(x1))))) #4: #4(0(2(3(1(4(4(x1))))))) -> #0(5(0(5(x1)))) #5: #4(0(2(3(1(4(4(x1))))))) -> #0(5(x1)) #6: #0(2(2(2(3(4(3(3(3(x1))))))))) -> #0(5(4(0(5(3(5(5(3(x1))))))))) #7: #0(2(2(2(3(4(3(3(3(x1))))))))) -> #4(0(5(3(5(5(3(x1))))))) #8: #0(2(2(2(3(4(3(3(3(x1))))))))) -> #0(5(3(5(5(3(x1)))))) #9: #0(2(2(2(3(4(3(3(3(x1))))))))) -> #3(5(5(3(x1)))) #10: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #3(1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))))) #11: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #1(3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1))))))))))))))))))) #12: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #3(3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))))) #13: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #3(0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1))))))))))))))))) #14: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #0(5(4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))))) #15: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #4(2(4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))))) #16: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #2(4(1(2(3(5(0(3(4(5(2(4(3(x1))))))))))))) #17: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #4(1(2(3(5(0(3(4(5(2(4(3(x1)))))))))))) #18: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #1(2(3(5(0(3(4(5(2(4(3(x1))))))))))) #19: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #2(3(5(0(3(4(5(2(4(3(x1)))))))))) #20: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #3(5(0(3(4(5(2(4(3(x1))))))))) #21: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #0(3(4(5(2(4(3(x1))))))) #22: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #3(4(5(2(4(3(x1)))))) #23: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #4(5(2(4(3(x1))))) #24: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #2(4(3(x1))) #25: #3(5(5(2(0(4(4(5(5(0(3(5(2(1(2(1(0(2(2(3(x1)))))))))))))))))))) -> #4(3(x1)) #26: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #3(2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))))) #27: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #2(0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1))))))))))))))))))) #28: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #0(1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))))))) #29: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #1(5(0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1))))))))))))))))) #30: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #0(1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1))))))))))))))) #31: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #1(5(5(1(2(3(0(2(4(2(5(2(2(4(x1)))))))))))))) #32: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #1(2(3(0(2(4(2(5(2(2(4(x1))))))))))) #33: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #2(3(0(2(4(2(5(2(2(4(x1)))))))))) #34: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #3(0(2(4(2(5(2(2(4(x1))))))))) #35: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #0(2(4(2(5(2(2(4(x1)))))))) #36: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #2(4(2(5(2(2(4(x1))))))) #37: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #4(2(5(2(2(4(x1)))))) #38: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #2(5(2(2(4(x1))))) #39: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #2(2(4(x1))) #40: #3(2(3(4(1(2(5(5(0(1(2(3(4(0(5(1(4(4(5(4(x1)))))))))))))))))))) -> #2(4(x1)) #41: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #2(1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))))))) #42: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #1(5(0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1))))))))))))))))) #43: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #0(0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1))))))))))))))) #44: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #0(1(5(2(2(2(3(1(0(5(0(4(3(3(x1)))))))))))))) #45: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #1(5(2(2(2(3(1(0(5(0(4(3(3(x1))))))))))))) #46: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #2(2(2(3(1(0(5(0(4(3(3(x1))))))))))) #47: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #2(2(3(1(0(5(0(4(3(3(x1)))))))))) #48: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #2(3(1(0(5(0(4(3(3(x1))))))))) #49: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #3(1(0(5(0(4(3(3(x1)))))))) #50: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #1(0(5(0(4(3(3(x1))))))) #51: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #0(5(0(4(3(3(x1)))))) #52: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #0(4(3(3(x1)))) #53: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #4(3(3(x1))) #54: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #3(3(x1)) #55: #2(5(5(1(2(3(5(0(3(0(0(3(3(1(0(1(3(2(x1)))))))))))))))))) -> #3(x1) #56: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #4(4(4(3(2(0(1(3(1(2(2(4(5(x1))))))))))))) #57: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #4(4(3(2(0(1(3(1(2(2(4(5(x1)))))))))))) #58: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #4(3(2(0(1(3(1(2(2(4(5(x1))))))))))) #59: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #3(2(0(1(3(1(2(2(4(5(x1)))))))))) #60: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #2(0(1(3(1(2(2(4(5(x1))))))))) #61: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #0(1(3(1(2(2(4(5(x1)))))))) #62: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #1(3(1(2(2(4(5(x1))))))) #63: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #3(1(2(2(4(5(x1)))))) #64: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #1(2(2(4(5(x1))))) #65: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #2(2(4(5(x1)))) #66: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #2(4(5(x1))) #67: #1(2(2(1(2(3(2(4(4(0(0(3(2(x1))))))))))))) -> #4(5(x1)) #68: #2(3(3(2(5(x1))))) -> #3(5(4(5(5(x1))))) #69: #2(3(3(2(5(x1))))) -> #4(5(5(x1))) #70: #2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> #2(0(2(5(0(0(4(3(2(1(4(3(3(1(x1)))))))))))))) #71: #2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> #0(2(5(0(0(4(3(2(1(4(3(3(1(x1))))))))))))) #72: #2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> #2(5(0(0(4(3(2(1(4(3(3(1(x1)))))))))))) #73: #2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> #0(0(4(3(2(1(4(3(3(1(x1)))))))))) #74: #2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> #0(4(3(2(1(4(3(3(1(x1))))))))) #75: #2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> #4(3(2(1(4(3(3(1(x1)))))))) #76: #2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> #3(2(1(4(3(3(1(x1))))))) #77: #2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> #2(1(4(3(3(1(x1)))))) #78: #2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> #1(4(3(3(1(x1))))) #79: #2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> #4(3(3(1(x1)))) #80: #2(2(3(3(0(2(0(2(5(0(5(5(5(1(0(3(1(x1))))))))))))))))) -> #3(3(1(x1))) Number of SCCs: 0, DPs: 0