YES Input TRS: 1: 0(0(1(1(1(2(0(1(1(3(2(1(x1)))))))))))) -> 3(5(5(4(3(3(0(5(0(4(1(5(4(0(3(1(x1)))))))))))))))) 2: 0(0(4(1(1(3(1(4(1(1(3(1(x1)))))))))))) -> 3(5(5(5(2(4(5(0(5(2(5(2(0(5(1(0(4(x1))))))))))))))))) 3: 0(1(0(4(2(2(0(3(4(1(1(5(x1)))))))))))) -> 4(0(1(5(4(3(1(2(3(5(3(5(0(1(x1)))))))))))))) 4: 0(1(2(2(2(2(2(4(3(0(4(0(x1)))))))))))) -> 5(5(5(2(2(4(5(3(5(3(3(3(5(0(5(5(0(2(x1)))))))))))))))))) 5: 0(1(2(4(1(5(3(4(2(1(2(1(x1)))))))))))) -> 0(5(2(3(5(5(2(1(0(4(5(3(1(1(5(x1))))))))))))))) 6: 0(1(3(1(1(2(2(4(2(5(0(2(x1)))))))))))) -> 2(5(4(5(3(5(1(3(4(3(3(5(5(5(2(5(4(x1))))))))))))))))) 7: 0(2(1(4(1(4(2(2(1(4(1(1(x1)))))))))))) -> 2(3(3(5(5(4(3(5(5(2(3(0(2(0(0(0(x1)))))))))))))))) 8: 0(2(3(3(2(0(1(4(4(4(0(4(x1)))))))))))) -> 5(1(3(5(5(0(3(2(1(4(5(5(5(5(1(5(3(3(x1)))))))))))))))))) 9: 0(2(4(0(3(5(1(3(0(2(2(0(x1)))))))))))) -> 0(4(0(5(5(5(5(5(4(1(3(3(5(5(2(5(0(x1))))))))))))))))) 10: 0(3(3(1(1(1(4(1(0(2(1(2(x1)))))))))))) -> 5(1(2(5(2(5(1(5(0(0(1(5(4(3(5(5(x1)))))))))))))))) 11: 0(4(1(1(2(2(2(2(0(1(4(4(x1)))))))))))) -> 4(0(0(5(0(0(5(1(5(0(2(3(0(5(2(2(3(x1))))))))))))))))) 12: 0(4(1(3(1(4(4(4(4(1(0(2(x1)))))))))))) -> 4(4(2(3(0(1(1(0(3(5(3(1(0(2(x1)))))))))))))) 13: 0(4(4(4(4(0(0(1(2(5(2(5(x1)))))))))))) -> 5(5(5(3(0(4(0(0(1(5(5(2(4(3(3(5(5(1(x1)))))))))))))))))) 14: 0(4(5(2(0(3(0(1(4(5(1(1(x1)))))))))))) -> 0(1(0(5(3(3(0(3(5(5(5(0(0(3(3(5(x1)))))))))))))))) 15: 0(5(1(2(5(4(4(2(0(1(1(2(x1)))))))))))) -> 0(5(4(5(3(4(5(4(3(3(3(2(3(3(5(4(2(x1))))))))))))))))) 16: 0(5(3(4(4(4(0(2(4(0(2(1(x1)))))))))))) -> 3(5(3(3(5(4(4(3(5(5(2(3(5(3(5(0(x1)))))))))))))))) 17: 0(5(4(1(2(0(0(2(0(4(2(3(x1)))))))))))) -> 5(5(4(5(3(5(2(2(3(3(3(3(5(5(0(2(x1)))))))))))))))) 18: 0(5(4(2(2(1(3(1(1(1(3(1(x1)))))))))))) -> 4(3(5(0(2(0(1(5(0(2(5(3(3(5(4(5(5(3(x1)))))))))))))))))) 19: 1(0(0(4(4(4(0(1(2(1(5(0(x1)))))))))))) -> 3(5(0(2(1(0(5(3(5(3(3(2(1(5(5(x1))))))))))))))) 20: 1(0(1(5(0(1(0(4(2(0(1(2(x1)))))))))))) -> 3(2(5(5(3(4(3(5(4(5(5(3(1(0(2(x1))))))))))))))) 21: 1(2(1(4(1(2(1(3(4(3(4(4(x1)))))))))))) -> 2(2(4(0(0(0(0(5(3(0(1(2(4(5(x1)))))))))))))) 22: 1(3(2(2(5(1(1(2(1(2(5(0(x1)))))))))))) -> 5(5(5(1(5(4(5(1(4(5(5(5(3(4(5(3(5(0(x1)))))))))))))))))) 23: 1(3(3(2(2(3(1(5(1(4(0(2(x1)))))))))))) -> 4(3(3(5(5(4(5(1(5(5(5(0(5(3(2(x1))))))))))))))) 24: 1(3(4(4(0(2(2(0(2(1(2(2(x1)))))))))))) -> 1(3(1(5(3(3(5(5(5(5(0(4(3(2(4(x1))))))))))))))) 25: 1(4(0(2(4(0(2(1(0(1(1(4(x1)))))))))))) -> 5(0(5(3(0(3(5(5(3(3(0(2(3(4(x1)))))))))))))) 26: 1(4(1(4(4(4(4(1(4(1(5(2(x1)))))))))))) -> 3(5(0(4(3(5(4(5(0(5(3(2(1(5(0(5(5(x1))))))))))))))))) 27: 1(4(3(2(0(2(4(3(1(1(1(1(x1)))))))))))) -> 4(4(5(3(4(5(5(4(0(4(5(0(5(5(x1)))))))))))))) 28: 1(4(4(4(0(2(2(3(2(4(2(2(x1)))))))))))) -> 1(4(5(5(5(5(3(5(1(5(0(0(5(2(5(3(5(x1))))))))))))))))) 29: 2(0(0(1(4(1(5(3(1(3(2(5(x1)))))))))))) -> 3(4(4(0(5(1(0(4(5(3(3(0(0(0(0(5(x1)))))))))))))))) 30: 2(0(1(3(2(0(5(0(4(4(1(4(x1)))))))))))) -> 4(5(5(3(5(0(4(3(5(5(5(0(1(3(2(3(3(0(x1)))))))))))))))))) 31: 2(0(2(0(1(3(4(1(2(0(1(5(x1)))))))))))) -> 5(5(3(5(2(3(0(3(3(5(3(5(5(3(3(x1))))))))))))))) 32: 2(0(2(1(1(1(3(4(4(2(2(0(x1)))))))))))) -> 5(5(0(1(4(0(3(0(5(3(3(5(4(5(4(4(0(3(x1)))))))))))))))))) 33: 2(0(2(5(2(2(0(3(1(5(0(4(x1)))))))))))) -> 5(0(5(4(5(2(5(1(2(2(3(5(5(5(3(x1))))))))))))))) 34: 2(0(4(1(3(4(2(5(4(1(1(3(x1)))))))))))) -> 2(2(3(5(0(0(4(2(0(4(3(5(5(5(4(5(0(x1))))))))))))))))) 35: 2(1(0(0(4(4(5(2(0(2(1(1(x1)))))))))))) -> 3(5(1(0(1(5(5(4(5(0(4(2(5(2(4(5(5(4(x1)))))))))))))))))) 36: 2(1(1(1(0(4(1(3(0(4(0(3(x1)))))))))))) -> 4(3(0(2(5(0(5(2(1(3(5(3(5(1(x1)))))))))))))) 37: 2(1(1(4(1(4(4(0(3(1(1(0(x1)))))))))))) -> 3(2(5(5(5(4(3(5(3(3(5(5(1(4(1(3(x1)))))))))))))))) 38: 2(1(3(5(1(3(1(3(1(3(1(2(x1)))))))))))) -> 0(5(1(5(0(2(5(1(3(4(4(0(5(4(3(5(4(x1))))))))))))))))) 39: 2(2(1(1(4(2(5(2(4(2(0(3(x1)))))))))))) -> 3(4(4(4(5(2(2(2(2(4(0(5(4(5(x1)))))))))))))) 40: 2(2(1(3(1(1(2(0(1(3(4(4(x1)))))))))))) -> 2(4(4(0(0(0(2(5(5(5(3(5(1(3(5(0(4(x1))))))))))))))))) 41: 2(2(1(4(4(0(5(2(0(4(2(4(x1)))))))))))) -> 3(5(0(2(5(1(3(2(3(3(5(5(5(0(0(4(x1)))))))))))))))) 42: 2(2(2(1(4(4(3(3(5(1(4(1(x1)))))))))))) -> 1(5(4(5(5(5(3(5(5(5(2(1(0(1(0(5(1(x1))))))))))))))))) 43: 2(2(5(2(5(5(0(4(0(1(2(0(x1)))))))))))) -> 1(2(5(4(0(5(4(3(0(5(5(0(5(5(x1)))))))))))))) 44: 2(3(1(3(4(1(2(1(2(1(0(1(x1)))))))))))) -> 2(2(4(4(0(3(3(2(4(5(0(1(4(5(5(x1))))))))))))))) 45: 2(3(2(1(5(1(1(2(4(1(4(1(x1)))))))))))) -> 3(3(0(5(4(5(5(0(0(0(2(3(3(1(4(5(0(x1))))))))))))))))) 46: 2(3(2(3(4(2(2(3(5(2(4(4(x1)))))))))))) -> 5(0(3(0(5(5(1(2(4(3(5(5(5(4(0(5(x1)))))))))))))))) 47: 2(3(2(4(0(0(4(1(3(0(4(1(x1)))))))))))) -> 4(5(5(1(0(0(1(0(5(1(5(5(3(3(5(5(5(0(x1)))))))))))))))))) 48: 2(3(3(4(1(3(2(1(4(1(4(3(x1)))))))))))) -> 5(1(1(5(0(0(0(5(1(0(3(5(2(2(x1)))))))))))))) 49: 2(4(2(0(4(4(2(2(3(3(1(0(x1)))))))))))) -> 5(5(5(0(2(5(1(5(3(5(2(4(4(1(4(5(3(x1))))))))))))))))) 50: 2(4(3(4(1(0(4(2(0(1(5(2(x1)))))))))))) -> 0(0(5(3(4(5(3(4(5(4(0(3(0(2(x1)))))))))))))) 51: 2(4(5(4(1(2(0(5(4(1(0(3(x1)))))))))))) -> 5(3(5(3(3(3(5(5(4(3(2(1(5(1(0(x1))))))))))))))) 52: 2(5(1(4(4(1(3(4(1(3(2(0(x1)))))))))))) -> 2(5(0(5(3(4(5(3(3(2(1(3(0(4(4(x1))))))))))))))) 53: 3(0(4(1(4(2(0(4(1(1(0(0(x1)))))))))))) -> 5(5(5(0(3(2(3(2(1(0(4(3(5(5(0(5(5(2(x1)))))))))))))))))) 54: 3(0(4(3(5(2(1(4(4(0(0(1(x1)))))))))))) -> 5(5(3(0(0(5(4(0(5(1(3(2(5(3(x1)))))))))))))) 55: 3(1(4(5(1(1(4(1(5(1(3(1(x1)))))))))))) -> 3(5(3(0(3(5(5(3(4(3(5(5(3(0(1(0(x1)))))))))))))))) 56: 3(2(0(3(1(4(1(2(1(1(4(4(x1)))))))))))) -> 1(5(2(0(5(1(3(5(4(3(5(3(0(5(2(5(2(x1))))))))))))))))) 57: 3(2(0(4(2(3(0(3(3(0(4(4(x1)))))))))))) -> 3(4(4(0(2(5(5(0(5(3(2(3(4(5(3(3(x1)))))))))))))))) 58: 3(2(2(2(0(4(5(2(2(5(3(4(x1)))))))))))) -> 1(5(2(3(1(1(0(1(0(4(3(1(5(3(x1)))))))))))))) 59: 3(2(4(2(5(0(3(2(0(2(2(5(x1)))))))))))) -> 4(5(0(0(2(2(5(0(5(0(5(1(0(2(5(x1))))))))))))))) 60: 3(3(1(2(3(4(4(5(4(1(3(1(x1)))))))))))) -> 4(0(4(5(2(1(5(5(0(4(3(1(5(3(5(5(x1)))))))))))))))) 61: 3(3(3(4(0(0(1(4(3(2(0(3(x1)))))))))))) -> 3(5(3(5(1(0(2(5(5(5(2(3(3(4(3(x1))))))))))))))) 62: 3(4(1(0(3(4(2(2(3(2(1(3(x1)))))))))))) -> 5(4(5(0(5(5(1(3(0(0(2(4(1(1(x1)))))))))))))) 63: 3(4(2(1(1(4(4(1(3(3(4(2(x1)))))))))))) -> 4(0(4(2(1(1(5(5(4(4(5(0(5(0(x1)))))))))))))) 64: 3(4(2(2(0(4(2(2(1(2(4(2(x1)))))))))))) -> 2(2(0(1(4(5(2(2(3(5(5(3(3(4(x1)))))))))))))) 65: 3(4(4(4(2(1(5(2(4(1(5(2(x1)))))))))))) -> 3(0(0(1(5(5(3(4(0(5(1(0(5(3(5(4(5(5(x1)))))))))))))))))) 66: 4(0(0(1(0(4(1(3(1(2(2(4(x1)))))))))))) -> 4(5(0(2(0(0(5(2(5(0(5(0(3(3(0(x1))))))))))))))) 67: 4(0(2(1(1(1(4(3(0(3(4(4(x1)))))))))))) -> 1(5(5(1(0(2(4(5(5(4(0(5(2(3(5(x1))))))))))))))) 68: 4(0(2(2(2(2(5(4(4(2(4(0(x1)))))))))))) -> 5(0(3(3(5(5(2(4(5(0(4(0(2(5(2(5(x1)))))))))))))))) 69: 4(0(4(1(2(4(5(4(0(1(4(3(x1)))))))))))) -> 5(2(3(3(5(0(1(3(4(5(4(5(4(5(4(5(x1)))))))))))))))) 70: 4(1(1(2(0(2(3(0(3(4(5(4(x1)))))))))))) -> 4(1(5(3(5(1(5(5(4(2(3(3(5(3(5(3(3(x1))))))))))))))))) 71: 4(1(1(2(3(2(4(2(4(3(4(3(x1)))))))))))) -> 1(5(2(5(3(5(0(2(5(0(4(3(5(2(3(4(5(5(x1)))))))))))))))))) 72: 4(1(1(3(4(4(1(2(1(3(1(2(x1)))))))))))) -> 2(5(5(5(3(3(0(0(2(3(3(0(3(5(2(4(5(3(x1)))))))))))))))))) 73: 4(1(2(1(4(2(4(2(1(2(0(1(x1)))))))))))) -> 4(1(4(5(2(1(1(4(2(4(5(1(5(5(0(x1))))))))))))))) 74: 4(1(3(4(4(4(3(3(3(4(2(2(x1)))))))))))) -> 4(4(3(4(0(2(4(5(5(0(3(3(5(2(3(0(x1)))))))))))))))) 75: 4(1(4(2(2(0(4(5(2(0(4(5(x1)))))))))))) -> 0(4(2(2(4(5(5(5(3(3(3(5(1(4(x1)))))))))))))) 76: 4(1(4(2(3(1(3(4(3(2(5(2(x1)))))))))))) -> 3(3(4(5(5(4(3(3(3(3(0(4(2(1(5(x1))))))))))))))) 77: 4(2(0(0(5(3(2(0(4(1(3(5(x1)))))))))))) -> 2(5(3(3(4(3(1(3(0(3(3(5(5(5(5(5(x1)))))))))))))))) 78: 4(2(0(2(4(2(0(0(0(1(2(5(x1)))))))))))) -> 5(2(1(3(2(3(5(3(2(4(5(4(3(4(5(5(x1)))))))))))))))) 79: 4(2(0(3(2(2(0(3(2(4(2(3(x1)))))))))))) -> 2(1(5(2(2(1(5(5(4(5(0(0(0(2(x1)))))))))))))) 80: 4(2(1(0(4(3(2(1(2(4(2(3(x1)))))))))))) -> 0(3(5(0(5(5(5(5(3(5(4(0(3(5(5(3(4(x1))))))))))))))))) 81: 4(2(1(1(2(2(0(2(2(0(3(1(x1)))))))))))) -> 1(2(5(5(3(1(0(5(4(0(5(0(2(3(0(4(0(5(x1)))))))))))))))))) 82: 4(2(2(0(2(2(0(5(2(1(0(5(x1)))))))))))) -> 3(4(5(5(5(4(0(3(4(3(4(5(5(0(2(5(3(3(x1)))))))))))))))))) 83: 4(2(2(3(1(4(1(1(2(3(4(4(x1)))))))))))) -> 1(0(0(4(3(4(0(1(4(5(3(2(4(0(x1)))))))))))))) 84: 4(2(4(0(3(1(3(1(3(2(2(3(x1)))))))))))) -> 4(5(1(0(1(3(4(5(5(4(5(2(4(4(5(5(5(2(x1)))))))))))))))))) 85: 4(3(1(1(2(4(0(3(1(4(3(0(x1)))))))))))) -> 2(5(3(5(5(2(3(0(3(5(5(2(3(4(1(x1))))))))))))))) 86: 4(4(2(2(0(4(2(0(3(1(4(2(x1)))))))))))) -> 2(4(5(1(5(3(3(3(1(0(1(0(1(4(5(5(x1)))))))))))))))) 87: 4(4(4(4(1(0(4(1(3(2(3(2(x1)))))))))))) -> 1(3(0(4(0(0(5(5(5(1(3(5(5(1(0(1(4(5(x1)))))))))))))))))) 88: 4(5(0(0(2(2(0(4(3(0(4(4(x1)))))))))))) -> 4(5(5(4(3(4(5(3(0(0(3(4(5(5(5(1(4(x1))))))))))))))))) 89: 5(1(2(3(1(3(1(3(0(4(2(4(x1)))))))))))) -> 0(3(2(5(5(4(5(5(3(5(5(4(5(5(4(3(5(x1))))))))))))))))) 90: 5(1(5(2(2(1(1(2(0(3(2(2(x1)))))))))))) -> 0(2(5(3(5(5(4(1(0(5(1(5(5(3(3(5(5(5(x1)))))))))))))))))) 91: 5(2(0(4(2(2(1(2(5(4(1(2(x1)))))))))))) -> 4(5(5(5(1(3(0(4(0(4(4(5(5(5(0(4(x1)))))))))))))))) 92: 5(2(0(5(0(1(2(0(0(2(0(4(x1)))))))))))) -> 0(3(3(4(3(5(1(5(5(2(3(0(1(3(x1)))))))))))))) 93: 5(3(0(2(2(4(1(2(4(5(1(0(x1)))))))))))) -> 0(5(1(5(0(2(5(2(5(3(5(1(5(5(x1)))))))))))))) 94: 5(3(2(1(4(2(1(2(1(1(4(3(x1)))))))))))) -> 4(5(0(5(3(3(0(5(5(0(5(5(3(5(1(5(1(3(x1)))))))))))))))))) 95: 5(4(2(2(2(1(1(5(3(2(2(1(x1)))))))))))) -> 0(4(0(5(5(0(5(3(0(2(5(4(2(5(5(x1))))))))))))))) 96: 5(5(1(2(2(0(3(5(1(1(4(3(x1)))))))))))) -> 0(5(0(3(5(4(5(0(1(0(4(0(5(0(x1)))))))))))))) Number of strict rules: 96 Direct POLO(bPol) ... removes: 18 50 80 4 15 8 54 1 77 3 16 21 36 68 85 26 63 19 32 17 60 27 87 34 22 28 65 44 5 72 33 64 93 92 10 39 7 88 20 25 49 52 30 62 14 82 89 56 79 31 69 96 45 78 81 23 70 24 94 76 11 9 13 51 90 40 67 55 59 6 38 61 58 74 75 48 71 53 47 73 91 37 41 95 42 46 66 83 35 29 43 86 2 1 w: x1 + 803 4 w: x1 + 791 5 w: x1 3 w: x1 + 362 0 w: x1 + 362 2 w: x1 + 1287 Number of strict rules: 3 Direct POLO(bPol) ... failed. Uncurrying ... failed. Dependency Pairs: #1: #3(2(0(4(2(3(0(3(3(0(4(4(x1)))))))))))) -> #3(4(4(0(2(5(5(0(5(3(2(3(4(5(3(3(x1)))))))))))))))) #2: #3(2(0(4(2(3(0(3(3(0(4(4(x1)))))))))))) -> #4(4(0(2(5(5(0(5(3(2(3(4(5(3(3(x1))))))))))))))) #3: #3(2(0(4(2(3(0(3(3(0(4(4(x1)))))))))))) -> #4(0(2(5(5(0(5(3(2(3(4(5(3(3(x1)))))))))))))) #4: #3(2(0(4(2(3(0(3(3(0(4(4(x1)))))))))))) -> #0(2(5(5(0(5(3(2(3(4(5(3(3(x1))))))))))))) #5: #3(2(0(4(2(3(0(3(3(0(4(4(x1)))))))))))) -> #0(5(3(2(3(4(5(3(3(x1))))))))) #6: #3(2(0(4(2(3(0(3(3(0(4(4(x1)))))))))))) -> #3(2(3(4(5(3(3(x1))))))) #7: #3(2(0(4(2(3(0(3(3(0(4(4(x1)))))))))))) -> #3(4(5(3(3(x1))))) #8: #3(2(0(4(2(3(0(3(3(0(4(4(x1)))))))))))) -> #4(5(3(3(x1)))) #9: #3(2(0(4(2(3(0(3(3(0(4(4(x1)))))))))))) -> #3(3(x1)) #10: #3(2(0(4(2(3(0(3(3(0(4(4(x1)))))))))))) -> #3(x1) #11: #0(4(1(3(1(4(4(4(4(1(0(2(x1)))))))))))) -> #4(4(2(3(0(1(1(0(3(5(3(1(0(2(x1)))))))))))))) #12: #0(4(1(3(1(4(4(4(4(1(0(2(x1)))))))))))) -> #4(2(3(0(1(1(0(3(5(3(1(0(2(x1))))))))))))) #13: #0(4(1(3(1(4(4(4(4(1(0(2(x1)))))))))))) -> #3(0(1(1(0(3(5(3(1(0(2(x1))))))))))) #14: #0(4(1(3(1(4(4(4(4(1(0(2(x1)))))))))))) -> #0(1(1(0(3(5(3(1(0(2(x1)))))))))) #15: #0(4(1(3(1(4(4(4(4(1(0(2(x1)))))))))))) -> #0(3(5(3(1(0(2(x1))))))) #16: #0(4(1(3(1(4(4(4(4(1(0(2(x1)))))))))))) -> #3(5(3(1(0(2(x1)))))) #17: #0(4(1(3(1(4(4(4(4(1(0(2(x1)))))))))))) -> #3(1(0(2(x1)))) #18: #4(2(4(0(3(1(3(1(3(2(2(3(x1)))))))))))) -> #4(5(1(0(1(3(4(5(5(4(5(2(4(4(5(5(5(2(x1)))))))))))))))))) #19: #4(2(4(0(3(1(3(1(3(2(2(3(x1)))))))))))) -> #0(1(3(4(5(5(4(5(2(4(4(5(5(5(2(x1))))))))))))))) #20: #4(2(4(0(3(1(3(1(3(2(2(3(x1)))))))))))) -> #3(4(5(5(4(5(2(4(4(5(5(5(2(x1))))))))))))) #21: #4(2(4(0(3(1(3(1(3(2(2(3(x1)))))))))))) -> #4(5(5(4(5(2(4(4(5(5(5(2(x1)))))))))))) #22: #4(2(4(0(3(1(3(1(3(2(2(3(x1)))))))))))) -> #4(5(2(4(4(5(5(5(2(x1))))))))) #23: #4(2(4(0(3(1(3(1(3(2(2(3(x1)))))))))))) -> #4(4(5(5(5(2(x1)))))) #24: #4(2(4(0(3(1(3(1(3(2(2(3(x1)))))))))))) -> #4(5(5(5(2(x1))))) Number of SCCs: 1, DPs: 1 SCC { #10 } POLO(Sum)... succeeded. #0 w: 0 1 w: 0 4 w: x1 + 1 5 w: 0 3 w: x1 #4 w: 0 0 w: x1 + 2437 #3 w: x1 2 w: x1 USABLE RULES: { } Removed DPs: #10 Number of SCCs: 0, DPs: 0