YES Input TRS: 1: 0(1(2(x1))) -> 1(3(2(x1))) 2: 1(1(4(2(3(x1))))) -> 1(5(4(4(x1)))) 3: 2(2(1(3(5(x1))))) -> 1(2(0(5(x1)))) 4: 3(0(0(2(1(x1))))) -> 0(5(4(0(x1)))) 5: 4(3(2(5(0(x1))))) -> 3(4(1(5(5(x1))))) 6: 0(0(0(3(2(5(x1)))))) -> 2(0(5(5(4(5(x1)))))) 7: 2(2(1(1(3(2(x1)))))) -> 2(1(4(0(0(x1))))) 8: 3(3(1(1(2(2(x1)))))) -> 3(3(0(0(2(x1))))) 9: 0(2(5(1(0(4(2(2(x1)))))))) -> 0(0(3(5(1(5(4(x1))))))) 10: 4(0(5(3(5(1(3(5(x1)))))))) -> 4(0(0(1(3(0(1(5(x1)))))))) 11: 4(4(4(3(5(1(4(0(x1)))))))) -> 3(0(2(2(2(2(3(2(x1)))))))) 12: 0(0(5(3(2(2(5(0(3(x1))))))))) -> 2(5(5(4(2(2(5(0(3(x1))))))))) 13: 3(2(2(0(0(0(0(3(1(0(5(x1))))))))))) -> 0(4(3(0(4(4(2(4(1(4(0(5(x1)))))))))))) 14: 4(3(3(3(5(0(0(3(2(4(4(1(2(x1))))))))))))) -> 4(4(5(2(2(0(5(0(1(4(3(0(x1)))))))))))) 15: 4(4(3(3(1(2(2(5(3(5(3(2(3(x1))))))))))))) -> 4(1(4(0(0(2(5(4(4(2(0(3(x1)))))))))))) 16: 0(0(5(0(1(4(4(3(5(2(0(0(3(3(x1)))))))))))))) -> 2(1(2(1(2(0(4(0(2(2(4(3(3(5(4(x1))))))))))))))) 17: 3(0(1(5(5(1(0(4(0(0(2(1(0(3(x1)))))))))))))) -> 3(4(0(1(2(5(2(2(0(3(0(4(5(1(x1)))))))))))))) 18: 5(5(0(5(4(4(4(3(4(0(5(4(3(3(x1)))))))))))))) -> 2(4(5(0(2(0(3(0(2(5(3(1(3(3(x1)))))))))))))) 19: 1(0(4(3(2(1(1(1(2(4(4(5(5(0(1(x1))))))))))))))) -> 1(0(2(4(5(5(0(1(1(4(4(5(0(1(x1)))))))))))))) 20: 3(4(1(1(4(4(0(4(4(2(4(1(0(0(5(3(2(x1))))))))))))))))) -> 3(5(5(5(0(1(3(2(4(2(0(3(5(3(0(x1))))))))))))))) 21: 0(2(1(3(5(3(4(1(1(4(4(0(4(3(4(1(0(2(x1)))))))))))))))))) -> 1(5(2(2(0(3(2(3(4(2(0(1(1(1(3(2(1(x1))))))))))))))))) 22: 3(3(0(0(1(2(3(5(3(0(5(2(0(0(2(4(4(1(x1)))))))))))))))))) -> 2(2(4(1(4(4(2(5(2(2(5(1(4(2(5(2(0(4(1(x1))))))))))))))))))) 23: 3(3(0(5(2(3(1(3(0(0(3(1(5(2(2(1(2(2(x1)))))))))))))))))) -> 1(0(3(0(4(2(4(3(2(0(4(2(1(5(5(2(2(x1))))))))))))))))) 24: 4(5(4(0(1(1(5(5(4(5(3(2(1(3(2(4(4(2(x1)))))))))))))))))) -> 3(4(5(5(3(0(4(3(3(3(0(5(3(2(2(5(0(x1))))))))))))))))) 25: 0(0(4(1(2(3(3(5(5(2(0(3(1(2(2(4(0(1(5(x1))))))))))))))))))) -> 2(2(0(1(0(1(5(0(1(0(0(5(0(1(1(4(5(x1))))))))))))))))) 26: 0(5(0(3(2(3(2(3(0(1(5(5(5(3(4(0(0(2(2(x1))))))))))))))))))) -> 2(2(5(4(0(0(1(5(5(3(2(2(5(0(0(5(4(0(x1)))))))))))))))))) 27: 4(0(3(4(1(3(2(0(0(0(2(1(0(1(1(3(1(5(1(x1))))))))))))))))))) -> 0(3(5(3(4(5(1(0(0(3(1(0(2(4(1(3(3(0(x1)))))))))))))))))) 28: 4(4(5(4(5(4(3(1(2(2(0(2(5(4(2(0(4(1(2(x1))))))))))))))))))) -> 0(3(5(5(2(0(3(4(2(4(5(0(2(1(3(2(2(1(x1)))))))))))))))))) 29: 3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> 3(4(5(0(5(3(1(3(5(5(5(4(0(4(1(2(5(5(0(x1))))))))))))))))))) 30: 2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> 5(4(5(4(1(3(4(3(0(3(3(1(1(4(4(2(1(2(0(1(0(x1))))))))))))))))))))) Number of strict rules: 30 Direct POLO(bPol) ... removes: 4 15 8 1 3 16 21 26 19 17 27 22 28 7 20 25 14 12 23 24 9 6 2 1 w: x1 + 343317 4 w: x1 + 316908 5 w: x1 + 448953 3 w: x1 + 343317 0 w: x1 + 448953 2 w: x1 + 343317 Number of strict rules: 7 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #3(4(5(0(5(3(1(3(5(5(5(4(0(4(1(2(5(5(0(x1))))))))))))))))))) #2: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #4(5(0(5(3(1(3(5(5(5(4(0(4(1(2(5(5(0(x1)))))))))))))))))) #3: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #5(0(5(3(1(3(5(5(5(4(0(4(1(2(5(5(0(x1))))))))))))))))) #4: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #5(3(1(3(5(5(5(4(0(4(1(2(5(5(0(x1))))))))))))))) #5: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #3(1(3(5(5(5(4(0(4(1(2(5(5(0(x1)))))))))))))) #6: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #3(5(5(5(4(0(4(1(2(5(5(0(x1)))))))))))) #7: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #5(5(5(4(0(4(1(2(5(5(0(x1))))))))))) #8: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #5(5(4(0(4(1(2(5(5(0(x1)))))))))) #9: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #5(4(0(4(1(2(5(5(0(x1))))))))) #10: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #4(0(4(1(2(5(5(0(x1)))))))) #11: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #4(1(2(5(5(0(x1)))))) #12: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #2(5(5(0(x1)))) #13: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #5(5(0(x1))) #14: #3(3(3(5(2(0(0(3(3(1(2(5(2(1(3(1(0(5(2(2(x1)))))))))))))))))))) -> #5(0(x1)) #15: #3(2(2(0(0(0(0(3(1(0(5(x1))))))))))) -> #4(3(0(4(4(2(4(1(4(0(5(x1))))))))))) #16: #3(2(2(0(0(0(0(3(1(0(5(x1))))))))))) -> #3(0(4(4(2(4(1(4(0(5(x1)))))))))) #17: #3(2(2(0(0(0(0(3(1(0(5(x1))))))))))) -> #4(4(2(4(1(4(0(5(x1)))))))) #18: #3(2(2(0(0(0(0(3(1(0(5(x1))))))))))) -> #4(2(4(1(4(0(5(x1))))))) #19: #3(2(2(0(0(0(0(3(1(0(5(x1))))))))))) -> #2(4(1(4(0(5(x1)))))) #20: #3(2(2(0(0(0(0(3(1(0(5(x1))))))))))) -> #4(1(4(0(5(x1))))) #21: #3(2(2(0(0(0(0(3(1(0(5(x1))))))))))) -> #4(0(5(x1))) #22: #4(4(4(3(5(1(4(0(x1)))))))) -> #3(0(2(2(2(2(3(2(x1)))))))) #23: #4(4(4(3(5(1(4(0(x1)))))))) -> #2(2(2(2(3(2(x1)))))) #24: #4(4(4(3(5(1(4(0(x1)))))))) -> #2(2(2(3(2(x1))))) #25: #4(4(4(3(5(1(4(0(x1)))))))) -> #2(2(3(2(x1)))) #26: #4(4(4(3(5(1(4(0(x1)))))))) -> #2(3(2(x1))) #27: #4(4(4(3(5(1(4(0(x1)))))))) -> #3(2(x1)) #28: #4(4(4(3(5(1(4(0(x1)))))))) -> #2(x1) #29: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #5(4(5(4(1(3(4(3(0(3(3(1(1(4(4(2(1(2(0(1(0(x1))))))))))))))))))))) #30: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #4(5(4(1(3(4(3(0(3(3(1(1(4(4(2(1(2(0(1(0(x1)))))))))))))))))))) #31: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #5(4(1(3(4(3(0(3(3(1(1(4(4(2(1(2(0(1(0(x1))))))))))))))))))) #32: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #4(1(3(4(3(0(3(3(1(1(4(4(2(1(2(0(1(0(x1)))))))))))))))))) #33: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #3(4(3(0(3(3(1(1(4(4(2(1(2(0(1(0(x1)))))))))))))))) #34: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #4(3(0(3(3(1(1(4(4(2(1(2(0(1(0(x1))))))))))))))) #35: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #3(0(3(3(1(1(4(4(2(1(2(0(1(0(x1)))))))))))))) #36: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #3(3(1(1(4(4(2(1(2(0(1(0(x1)))))))))))) #37: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #3(1(1(4(4(2(1(2(0(1(0(x1))))))))))) #38: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #4(4(2(1(2(0(1(0(x1)))))))) #39: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #4(2(1(2(0(1(0(x1))))))) #40: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #2(1(2(0(1(0(x1)))))) #41: #2(5(4(3(4(4(4(4(2(1(2(2(1(5(5(2(5(0(1(1(1(x1))))))))))))))))))))) -> #2(0(1(0(x1)))) #42: #4(0(5(3(5(1(3(5(x1)))))))) -> #4(0(0(1(3(0(1(5(x1)))))))) #43: #4(0(5(3(5(1(3(5(x1)))))))) -> #3(0(1(5(x1)))) #44: #4(3(2(5(0(x1))))) -> #3(4(1(5(5(x1))))) #45: #4(3(2(5(0(x1))))) -> #4(1(5(5(x1)))) #46: #4(3(2(5(0(x1))))) -> #5(5(x1)) #47: #4(3(2(5(0(x1))))) -> #5(x1) #48: #5(5(0(5(4(4(4(3(4(0(5(4(3(3(x1)))))))))))))) -> #2(4(5(0(2(0(3(0(2(5(3(1(3(3(x1)))))))))))))) #49: #5(5(0(5(4(4(4(3(4(0(5(4(3(3(x1)))))))))))))) -> #4(5(0(2(0(3(0(2(5(3(1(3(3(x1))))))))))))) #50: #5(5(0(5(4(4(4(3(4(0(5(4(3(3(x1)))))))))))))) -> #5(0(2(0(3(0(2(5(3(1(3(3(x1)))))))))))) #51: #5(5(0(5(4(4(4(3(4(0(5(4(3(3(x1)))))))))))))) -> #2(0(3(0(2(5(3(1(3(3(x1)))))))))) #52: #5(5(0(5(4(4(4(3(4(0(5(4(3(3(x1)))))))))))))) -> #3(0(2(5(3(1(3(3(x1)))))))) #53: #5(5(0(5(4(4(4(3(4(0(5(4(3(3(x1)))))))))))))) -> #2(5(3(1(3(3(x1)))))) #54: #5(5(0(5(4(4(4(3(4(0(5(4(3(3(x1)))))))))))))) -> #5(3(1(3(3(x1))))) #55: #5(5(0(5(4(4(4(3(4(0(5(4(3(3(x1)))))))))))))) -> #3(1(3(3(x1)))) Number of SCCs: 0, DPs: 0