0.65/0.73 YES 0.65/0.73 Input TRS: 0.65/0.73 1: a12(a12(x1)) -> x1 0.65/0.73 2: a13(a13(x1)) -> x1 0.65/0.73 3: a14(a14(x1)) -> x1 0.65/0.73 4: a15(a15(x1)) -> x1 0.65/0.73 5: a16(a16(x1)) -> x1 0.65/0.73 6: a23(a23(x1)) -> x1 0.65/0.73 7: a24(a24(x1)) -> x1 0.65/0.73 8: a25(a25(x1)) -> x1 0.65/0.73 9: a26(a26(x1)) -> x1 0.65/0.73 10: a34(a34(x1)) -> x1 0.65/0.73 11: a35(a35(x1)) -> x1 0.65/0.73 12: a36(a36(x1)) -> x1 0.65/0.73 13: a45(a45(x1)) -> x1 0.65/0.73 14: a46(a46(x1)) -> x1 0.65/0.73 15: a56(a56(x1)) -> x1 0.65/0.73 16: a13(x1) -> a12(a23(a12(x1))) 0.65/0.73 17: a14(x1) -> a12(a23(a34(a23(a12(x1))))) 0.65/0.73 18: a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) 0.65/0.73 19: a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) 0.65/0.73 20: a24(x1) -> a23(a34(a23(x1))) 0.65/0.73 21: a25(x1) -> a23(a34(a45(a34(a23(x1))))) 0.65/0.73 22: a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) 0.65/0.73 23: a35(x1) -> a34(a45(a34(x1))) 0.65/0.73 24: a36(x1) -> a34(a45(a56(a45(a34(x1))))) 0.65/0.73 25: a46(x1) -> a45(a56(a45(x1))) 0.65/0.73 26: a12(a23(a12(a23(a12(a23(x1)))))) -> x1 0.65/0.73 27: a23(a34(a23(a34(a23(a34(x1)))))) -> x1 0.65/0.73 28: a34(a45(a34(a45(a34(a45(x1)))))) -> x1 0.65/0.73 29: a45(a56(a45(a56(a45(a56(x1)))))) -> x1 0.65/0.73 30: a12(a34(x1)) -> a34(a12(x1)) 0.65/0.73 31: a12(a45(x1)) -> a45(a12(x1)) 0.65/0.73 32: a12(a56(x1)) -> a56(a12(x1)) 0.65/0.73 33: a23(a45(x1)) -> a45(a23(x1)) 0.65/0.73 34: a23(a56(x1)) -> a56(a23(x1)) 0.65/0.73 35: a34(a56(x1)) -> a56(a34(x1)) 0.65/0.73 Number of strict rules: 35 0.65/0.73 Direct POLO(bPol) ... removes: 18 4 15 8 3 16 21 19 17 22 28 5 7 20 25 14 12 23 24 11 9 13 29 2 0.65/0.73 a36 w: 2 * x1 + 29 0.65/0.73 a25 w: 2 * x1 + 36 0.65/0.73 a16 w: 2 * x1 + 29 0.65/0.73 a24 w: 2 * x1 + 8 0.65/0.73 a45 w: x1 + 9 0.65/0.73 a34 w: x1 0.65/0.73 a26 w: 2 * x1 + 84 0.65/0.73 a56 w: 2 * x1 + 1 0.65/0.73 a13 w: 2 * x1 + 21 0.65/0.73 a15 w: x1 + 76 0.65/0.73 a14 w: x1 + 33 0.65/0.73 a23 w: x1 0.65/0.73 a12 w: x1 0.65/0.73 a35 w: 2 * x1 + 10 0.65/0.73 a46 w: 2 * x1 + 29 0.65/0.73 Number of strict rules: 11 0.65/0.73 Direct POLO(bPol) ... removes: 33 0.65/0.73 a36 w: 2 * x1 + 41 0.65/0.73 a25 w: 2 * x1 + 36 0.65/0.73 a16 w: 2 * x1 + 154 0.65/0.73 a24 w: 2 * x1 + 8 0.65/0.73 a45 w: x1 + 13 0.65/0.73 a34 w: x1 0.65/0.73 a26 w: 2 * x1 + 84 0.65/0.73 a56 w: 2 * x1 0.65/0.73 a13 w: 2 * x1 + 21 0.65/0.73 a15 w: 2 * x1 + 25 0.65/0.73 a14 w: x1 + 33 0.65/0.73 a23 w: 2 * x1 0.65/0.73 a12 w: x1 0.65/0.73 a35 w: 2 * x1 + 14 0.65/0.73 a46 w: 2 * x1 + 39 0.65/0.73 Number of strict rules: 10 0.65/0.73 Direct POLO(bPol) ... removes: 31 0.65/0.73 a36 w: 2 * x1 + 41 0.65/0.73 a25 w: 2 * x1 + 25 0.65/0.73 a16 w: 2 * x1 + 96 0.65/0.73 a24 w: 2 * x1 + 8 0.65/0.73 a45 w: x1 + 8 0.65/0.73 a34 w: x1 0.65/0.73 a26 w: 2 * x1 + 84 0.65/0.73 a56 w: 2 * x1 0.65/0.73 a13 w: 2 * x1 + 21 0.65/0.73 a15 w: 2 * x1 + 4 0.65/0.73 a14 w: x1 + 33 0.65/0.73 a23 w: 2 * x1 0.65/0.73 a12 w: 2 * x1 0.65/0.73 a35 w: 2 * x1 + 8 0.65/0.73 a46 w: 2 * x1 + 24 0.65/0.73 Number of strict rules: 9 0.65/0.73 Direct POLO(bPol) ... removes: 1 26 32 27 10 30 6 0.65/0.73 a36 w: 2 * x1 + 1 0.65/0.73 a25 w: x1 + 31 0.65/0.73 a16 w: x1 + 1 0.65/0.73 a24 w: x1 + 1 0.65/0.73 a45 w: 2 * x1 + 26 0.65/0.73 a34 w: x1 + 1 0.65/0.73 a26 w: 2 * x1 + 1 0.65/0.73 a56 w: x1 + 1 0.65/0.73 a13 w: x1 + 1 0.65/0.73 a15 w: 2 * x1 + 26 0.65/0.73 a14 w: x1 + 1 0.65/0.73 a23 w: x1 + 1 0.65/0.73 a12 w: 2 * x1 + 27 0.65/0.73 a35 w: x1 + 28 0.65/0.73 a46 w: 2 * x1 + 53 0.65/0.73 Number of strict rules: 2 0.65/0.73 Direct POLO(bPol) ... removes: 34 0.65/0.73 a36 w: x1 + 17 0.65/0.73 a25 w: x1 + 1 0.65/0.73 a16 w: x1 + 1 0.65/0.73 a24 w: x1 + 2 0.65/0.73 a45 w: 2 * x1 + 2 0.65/0.73 a34 w: x1 0.65/0.73 a26 w: x1 + 1 0.65/0.73 a56 w: 2 * x1 + 4 0.65/0.73 a13 w: x1 + 1 0.65/0.73 a15 w: x1 + 26 0.65/0.73 a14 w: 2 * x1 + 1 0.65/0.73 a23 w: 2 * x1 + 3 0.65/0.73 a12 w: x1 + 1 0.65/0.73 a35 w: x1 + 1 0.65/0.73 a46 w: 2 * x1 + 17 0.65/0.73 Number of strict rules: 1 0.65/0.73 Direct POLO(bPol) ... removes: 35 0.65/0.73 a36 w: x1 + 17 0.65/0.73 a25 w: x1 + 1 0.65/0.73 a16 w: x1 + 1 0.65/0.73 a24 w: x1 + 2 0.65/0.73 a45 w: 2 * x1 + 1 0.65/0.73 a34 w: 2 * x1 + 1 0.65/0.73 a26 w: x1 + 1 0.65/0.73 a56 w: 2 * x1 + 4 0.65/0.73 a13 w: x1 + 1 0.65/0.73 a15 w: x1 + 26 0.65/0.73 a14 w: x1 + 1 0.65/0.73 a23 w: 2 * x1 + 3 0.65/0.73 a12 w: x1 + 4 0.65/0.73 a35 w: x1 + 1 0.65/0.73 a46 w: 2 * x1 + 12 0.65/0.73 Number of strict rules: 0 0.65/0.73 EOF