1.80/1.88 YES 1.80/1.88 Input TRS: 1.80/1.88 1: a12(a12(a12(a12(x1)))) -> x1 1.80/1.88 2: a13(a13(a13(a13(x1)))) -> x1 1.80/1.88 3: a14(a14(a14(a14(x1)))) -> x1 1.80/1.88 4: a15(a15(a15(a15(x1)))) -> x1 1.80/1.88 5: a16(a16(a16(a16(x1)))) -> x1 1.80/1.88 6: a23(a23(a23(a23(x1)))) -> x1 1.80/1.88 7: a24(a24(a24(a24(x1)))) -> x1 1.80/1.88 8: a25(a25(a25(a25(x1)))) -> x1 1.80/1.88 9: a26(a26(a26(a26(x1)))) -> x1 1.80/1.88 10: a34(a34(a34(a34(x1)))) -> x1 1.80/1.88 11: a35(a35(a35(a35(x1)))) -> x1 1.80/1.88 12: a36(a36(a36(a36(x1)))) -> x1 1.80/1.88 13: a45(a45(a45(a45(x1)))) -> x1 1.80/1.88 14: a46(a46(a46(a46(x1)))) -> x1 1.80/1.88 15: a56(a56(a56(a56(x1)))) -> x1 1.80/1.88 16: a13(a13(x1)) -> a12(a12(a23(a23(a12(a12(x1)))))) 1.80/1.88 17: a14(a14(x1)) -> a12(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1)))))))))) 1.80/1.88 18: a15(a15(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))) 1.80/1.88 19: a16(a16(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))))))) 1.80/1.88 20: a24(a24(x1)) -> a23(a23(a34(a34(a23(a23(x1)))))) 1.80/1.88 21: a25(a25(x1)) -> a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1)))))))))) 1.80/1.88 22: a26(a26(x1)) -> a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))))))) 1.80/1.88 23: a35(a35(x1)) -> a34(a34(a45(a45(a34(a34(x1)))))) 1.80/1.88 24: a36(a36(x1)) -> a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1)))))))))) 1.80/1.88 25: a46(a46(x1)) -> a45(a45(a56(a56(a45(a45(x1)))))) 1.80/1.88 26: a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) -> x1 1.80/1.88 27: a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) -> x1 1.80/1.88 28: a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) -> x1 1.80/1.88 29: a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) -> x1 1.80/1.88 30: a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1)))) 1.80/1.88 31: a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1)))) 1.80/1.88 32: a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1)))) 1.80/1.88 33: a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1)))) 1.80/1.88 34: a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1)))) 1.80/1.88 35: a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1)))) 1.80/1.88 Number of strict rules: 35 1.80/1.88 Direct POLO(bPol) ... removes: 18 4 15 8 1 3 16 21 26 19 17 27 22 28 5 10 7 20 25 14 12 23 24 11 9 13 6 29 2 1.80/1.88 a36 w: 2 * x1 + 5 1.80/1.88 a25 w: 2 * x1 + 5 1.80/1.88 a16 w: 2 * x1 + 8 1.80/1.88 a24 w: 2 * x1 + 3 1.80/1.88 a45 w: x1 + 1 1.80/1.88 a34 w: x1 + 1 1.80/1.88 a26 w: 2 * x1 + 6 1.80/1.88 a56 w: x1 + 2 1.80/1.88 a13 w: 2 * x1 + 3 1.80/1.88 a15 w: 2 * x1 + 6 1.80/1.88 a14 w: x1 + 6 1.80/1.88 a23 w: x1 + 1 1.80/1.88 a12 w: x1 + 1 1.80/1.88 a35 w: 2 * x1 + 3 1.80/1.88 a46 w: x1 + 5 1.80/1.88 Number of strict rules: 6 1.80/1.88 Direct POLO(bPol) ... removes: 32 30 31 1.80/1.88 a36 w: 2 * x1 + 4 1.80/1.88 a25 w: 2 * x1 + 4 1.80/1.88 a16 w: 2 * x1 + 8 1.80/1.88 a24 w: 2 * x1 + 2 1.80/1.88 a45 w: x1 + 1 1.80/1.88 a34 w: x1 + 1 1.80/1.88 a26 w: 2 * x1 + 5 1.80/1.88 a56 w: x1 + 1 1.80/1.88 a13 w: 2 * x1 + 8 1.80/1.88 a15 w: 2 * x1 + 23 1.80/1.88 a14 w: x1 + 20 1.80/1.88 a23 w: x1 + 1 1.80/1.88 a12 w: 2 * x1 + 1 1.80/1.88 a35 w: 2 * x1 + 3 1.80/1.88 a46 w: x1 + 3 1.80/1.88 Number of strict rules: 3 1.80/1.88 Direct POLO(bPol) ... removes: 34 33 1.80/1.88 a36 w: x1 + 1 1.80/1.88 a25 w: 2 * x1 + 39 1.80/1.88 a16 w: 2 * x1 + 1 1.80/1.88 a24 w: 2 * x1 + 8 1.80/1.88 a45 w: 2 * x1 + 2 1.80/1.88 a34 w: x1 + 1 1.80/1.88 a26 w: 2 * x1 + 161 1.80/1.88 a56 w: x1 + 1 1.80/1.88 a13 w: x1 + 1 1.80/1.88 a15 w: 2 * x1 + 39 1.80/1.88 a14 w: x1 + 12 1.80/1.88 a23 w: 2 * x1 + 1 1.80/1.88 a12 w: x1 1.80/1.88 a35 w: x1 + 8 1.80/1.88 a46 w: 2 * x1 + 13 1.80/1.88 Number of strict rules: 1 1.80/1.88 Direct POLO(bPol) ... removes: 35 1.80/1.88 a36 w: 2 * x1 + 1 1.80/1.88 a25 w: x1 + 1 1.80/1.88 a16 w: x1 + 1 1.80/1.88 a24 w: x1 + 1 1.80/1.88 a45 w: x1 + 1 1.80/1.88 a34 w: 2 * x1 + 1 1.80/1.88 a26 w: x1 + 1 1.80/1.88 a56 w: x1 + 1 1.80/1.88 a13 w: x1 + 1 1.80/1.88 a15 w: x1 + 1 1.80/1.88 a14 w: x1 + 1 1.80/1.88 a23 w: x1 + 1 1.80/1.88 a12 w: x1 + 1 1.80/1.88 a35 w: x1 + 11 1.80/1.88 a46 w: 2 * x1 + 1 1.80/1.88 Number of strict rules: 0 1.80/1.88 EOF