YES Input TRS: 1: 0(1(2(1(x1)))) -> 3(3(2(x1))) 2: 1(2(3(2(x1)))) -> 3(4(4(2(x1)))) 3: 0(5(1(4(1(x1))))) -> 4(1(4(3(x1)))) 4: 4(3(0(2(2(x1))))) -> 4(1(1(4(5(x1))))) 5: 5(5(1(5(2(x1))))) -> 4(3(5(2(x1)))) 6: 0(4(3(3(4(4(1(x1))))))) -> 4(4(2(5(0(2(2(x1))))))) 7: 2(0(4(1(2(2(1(3(x1)))))))) -> 2(3(0(4(5(5(1(1(x1)))))))) 8: 1(2(2(1(5(2(1(2(1(x1))))))))) -> 1(2(2(2(0(2(4(4(3(x1))))))))) 9: 4(5(1(4(3(4(3(5(4(3(x1)))))))))) -> 4(3(2(0(2(4(3(2(3(x1))))))))) 10: 1(4(1(2(5(3(4(3(3(2(2(x1))))))))))) -> 0(0(1(4(0(4(5(2(3(0(4(x1))))))))))) 11: 4(5(1(3(2(2(5(4(3(5(4(x1))))))))))) -> 4(0(1(1(5(3(5(4(2(2(4(x1))))))))))) 12: 5(1(4(0(1(5(5(3(3(0(3(2(x1)))))))))))) -> 3(0(5(3(2(0(1(0(4(1(2(x1))))))))))) 13: 0(4(1(1(3(3(2(5(4(2(2(1(3(x1))))))))))))) -> 1(0(1(4(3(4(4(2(3(4(2(2(1(x1))))))))))))) 14: 5(1(3(3(5(3(1(3(2(1(2(0(4(x1))))))))))))) -> 2(2(3(2(3(2(3(5(2(5(1(4(x1)))))))))))) 15: 0(5(3(5(3(3(3(3(4(5(5(5(4(4(x1)))))))))))))) -> 0(1(0(3(2(3(4(0(5(5(2(4(0(x1))))))))))))) 16: 1(5(0(1(0(4(4(2(2(3(4(1(4(1(x1)))))))))))))) -> 3(4(5(0(0(4(0(3(5(0(4(1(5(4(x1)))))))))))))) 17: 5(1(0(5(2(2(2(3(3(2(5(1(5(1(x1)))))))))))))) -> 5(4(0(1(4(3(2(2(3(3(3(5(5(1(x1)))))))))))))) 18: 5(1(2(2(4(0(2(4(2(5(2(1(4(0(5(x1))))))))))))))) -> 0(1(4(3(0(5(3(4(3(3(1(4(1(5(x1)))))))))))))) 19: 0(4(0(3(2(0(2(1(2(0(0(2(4(2(3(4(x1)))))))))))))))) -> 3(2(1(3(3(4(5(5(4(0(3(2(1(2(3(x1))))))))))))))) 20: 1(5(1(3(3(3(0(4(0(2(3(1(5(1(4(2(x1)))))))))))))))) -> 3(4(0(5(0(4(4(0(2(1(3(1(4(0(4(2(x1)))))))))))))))) 21: 5(1(1(0(0(3(2(5(0(3(4(2(1(2(5(1(x1)))))))))))))))) -> 5(1(3(2(1(0(1(0(5(5(3(1(1(4(1(0(x1)))))))))))))))) 22: 3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> 3(2(3(1(0(2(0(2(4(5(5(4(1(0(0(2(5(0(x1)))))))))))))))))) 23: 4(1(0(3(0(4(3(2(2(1(3(2(2(4(0(2(4(x1))))))))))))))))) -> 4(2(5(3(3(3(1(2(4(5(3(5(3(5(1(3(4(x1))))))))))))))))) 24: 3(0(0(2(1(1(3(5(1(2(2(2(5(1(0(0(0(1(x1)))))))))))))))))) -> 3(5(1(0(4(0(1(2(2(5(0(3(4(3(5(5(4(3(x1)))))))))))))))))) 25: 4(5(5(1(5(3(5(3(2(0(4(4(2(1(0(3(5(3(x1)))))))))))))))))) -> 4(4(0(5(1(3(5(5(3(4(4(0(0(4(3(0(0(0(x1)))))))))))))))))) 26: 4(5(5(2(5(1(0(2(1(0(1(4(4(4(2(1(5(1(x1)))))))))))))))))) -> 4(3(2(3(0(2(5(3(4(1(4(4(5(1(1(4(0(x1))))))))))))))))) 27: 0(2(0(2(2(0(1(1(2(4(1(1(0(3(3(2(1(4(1(4(x1)))))))))))))))))))) -> 2(2(3(3(0(2(1(3(5(3(4(4(1(2(4(4(4(4(4(0(x1)))))))))))))))))))) 28: 3(4(1(1(0(3(4(0(5(5(5(5(3(5(2(3(2(3(1(3(x1)))))))))))))))))))) -> 3(4(3(4(3(1(0(1(1(4(5(5(2(3(2(3(0(2(3(x1))))))))))))))))))) 29: 4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> 4(4(3(1(4(4(0(5(3(5(2(1(4(2(4(1(0(2(4(5(0(x1))))))))))))))))))))) 30: 5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> 5(0(3(2(2(0(4(1(1(5(3(0(1(5(0(1(3(2(2(3(x1)))))))))))))))))))) Number of strict rules: 30 Direct POLO(bPol) ... removes: 18 4 15 8 1 3 16 21 26 19 27 28 5 10 7 20 25 14 12 23 24 11 9 13 2 1 w: x1 + 125830 4 w: x1 + 115344 5 w: x1 + 109052 3 w: x1 + 138413 0 w: x1 + 109053 2 w: x1 + 136316 Number of strict rules: 5 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #4(4(3(1(4(4(0(5(3(5(2(1(4(2(4(1(0(2(4(5(0(x1))))))))))))))))))))) #2: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #4(3(1(4(4(0(5(3(5(2(1(4(2(4(1(0(2(4(5(0(x1)))))))))))))))))))) #3: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #3(1(4(4(0(5(3(5(2(1(4(2(4(1(0(2(4(5(0(x1))))))))))))))))))) #4: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #4(4(0(5(3(5(2(1(4(2(4(1(0(2(4(5(0(x1))))))))))))))))) #5: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #4(0(5(3(5(2(1(4(2(4(1(0(2(4(5(0(x1)))))))))))))))) #6: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #0(5(3(5(2(1(4(2(4(1(0(2(4(5(0(x1))))))))))))))) #7: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #5(3(5(2(1(4(2(4(1(0(2(4(5(0(x1)))))))))))))) #8: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #3(5(2(1(4(2(4(1(0(2(4(5(0(x1))))))))))))) #9: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #5(2(1(4(2(4(1(0(2(4(5(0(x1)))))))))))) #10: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #4(2(4(1(0(2(4(5(0(x1))))))))) #11: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #4(1(0(2(4(5(0(x1))))))) #12: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #0(2(4(5(0(x1))))) #13: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #4(5(0(x1))) #14: #4(5(2(3(5(4(5(0(5(1(2(3(0(1(1(0(3(5(0(3(0(x1))))))))))))))))))))) -> #5(0(x1)) #15: #0(4(3(3(4(4(1(x1))))))) -> #4(4(2(5(0(2(2(x1))))))) #16: #0(4(3(3(4(4(1(x1))))))) -> #4(2(5(0(2(2(x1)))))) #17: #0(4(3(3(4(4(1(x1))))))) -> #5(0(2(2(x1)))) #18: #0(4(3(3(4(4(1(x1))))))) -> #0(2(2(x1))) #19: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #5(0(3(2(2(0(4(1(1(5(3(0(1(5(0(1(3(2(2(3(x1)))))))))))))))))))) #20: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #0(3(2(2(0(4(1(1(5(3(0(1(5(0(1(3(2(2(3(x1))))))))))))))))))) #21: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #3(2(2(0(4(1(1(5(3(0(1(5(0(1(3(2(2(3(x1)))))))))))))))))) #22: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #0(4(1(1(5(3(0(1(5(0(1(3(2(2(3(x1))))))))))))))) #23: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #4(1(1(5(3(0(1(5(0(1(3(2(2(3(x1)))))))))))))) #24: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #5(3(0(1(5(0(1(3(2(2(3(x1))))))))))) #25: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #3(0(1(5(0(1(3(2(2(3(x1)))))))))) #26: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #0(1(5(0(1(3(2(2(3(x1))))))))) #27: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #5(0(1(3(2(2(3(x1))))))) #28: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #0(1(3(2(2(3(x1)))))) #29: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #3(2(2(3(x1)))) #30: #5(1(4(0(0(3(4(2(3(0(3(5(4(0(4(2(4(0(0(5(0(x1))))))))))))))))))))) -> #3(x1) #31: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #3(2(3(1(0(2(0(2(4(5(5(4(1(0(0(2(5(0(x1)))))))))))))))))) #32: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #3(1(0(2(0(2(4(5(5(4(1(0(0(2(5(0(x1)))))))))))))))) #33: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #0(2(0(2(4(5(5(4(1(0(0(2(5(0(x1)))))))))))))) #34: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #0(2(4(5(5(4(1(0(0(2(5(0(x1)))))))))))) #35: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #4(5(5(4(1(0(0(2(5(0(x1)))))))))) #36: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #5(5(4(1(0(0(2(5(0(x1))))))))) #37: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #5(4(1(0(0(2(5(0(x1)))))))) #38: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #4(1(0(0(2(5(0(x1))))))) #39: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #0(0(2(5(0(x1))))) #40: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #0(2(5(0(x1)))) #41: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #5(0(x1)) #42: #3(2(1(2(4(2(1(1(3(3(3(5(2(2(0(4(4(x1))))))))))))))))) -> #0(x1) #43: #5(1(0(5(2(2(2(3(3(2(5(1(5(1(x1)))))))))))))) -> #5(4(0(1(4(3(2(2(3(3(3(5(5(1(x1)))))))))))))) #44: #5(1(0(5(2(2(2(3(3(2(5(1(5(1(x1)))))))))))))) -> #4(0(1(4(3(2(2(3(3(3(5(5(1(x1))))))))))))) #45: #5(1(0(5(2(2(2(3(3(2(5(1(5(1(x1)))))))))))))) -> #0(1(4(3(2(2(3(3(3(5(5(1(x1)))))))))))) #46: #5(1(0(5(2(2(2(3(3(2(5(1(5(1(x1)))))))))))))) -> #4(3(2(2(3(3(3(5(5(1(x1)))))))))) #47: #5(1(0(5(2(2(2(3(3(2(5(1(5(1(x1)))))))))))))) -> #3(2(2(3(3(3(5(5(1(x1))))))))) #48: #5(1(0(5(2(2(2(3(3(2(5(1(5(1(x1)))))))))))))) -> #3(3(3(5(5(1(x1)))))) #49: #5(1(0(5(2(2(2(3(3(2(5(1(5(1(x1)))))))))))))) -> #3(3(5(5(1(x1))))) #50: #5(1(0(5(2(2(2(3(3(2(5(1(5(1(x1)))))))))))))) -> #3(5(5(1(x1)))) #51: #5(1(0(5(2(2(2(3(3(2(5(1(5(1(x1)))))))))))))) -> #5(5(1(x1))) Number of SCCs: 0, DPs: 0