/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: a12(a12(a12(a12(x1)))) -> x1 2: a13(a13(a13(a13(x1)))) -> x1 3: a14(a14(a14(a14(x1)))) -> x1 4: a15(a15(a15(a15(x1)))) -> x1 5: a16(a16(a16(a16(x1)))) -> x1 6: a23(a23(a23(a23(x1)))) -> x1 7: a24(a24(a24(a24(x1)))) -> x1 8: a25(a25(a25(a25(x1)))) -> x1 9: a26(a26(a26(a26(x1)))) -> x1 10: a34(a34(a34(a34(x1)))) -> x1 11: a35(a35(a35(a35(x1)))) -> x1 12: a36(a36(a36(a36(x1)))) -> x1 13: a45(a45(a45(a45(x1)))) -> x1 14: a46(a46(a46(a46(x1)))) -> x1 15: a56(a56(a56(a56(x1)))) -> x1 16: a13(a13(x1)) -> a12(a12(a23(a23(a12(a12(x1)))))) 17: a14(a14(x1)) -> a12(a12(a23(a23(a34(a34(a23(a23(a12(a12(x1)))))))))) 18: a15(a15(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))) 19: a16(a16(x1)) -> a12(a12(a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(a12(a12(x1)))))))))))))))))) 20: a24(a24(x1)) -> a23(a23(a34(a34(a23(a23(x1)))))) 21: a25(a25(x1)) -> a23(a23(a34(a34(a45(a45(a34(a34(a23(a23(x1)))))))))) 22: a26(a26(x1)) -> a23(a23(a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(a23(a23(x1)))))))))))))) 23: a35(a35(x1)) -> a34(a34(a45(a45(a34(a34(x1)))))) 24: a36(a36(x1)) -> a34(a34(a45(a45(a56(a56(a45(a45(a34(a34(x1)))))))))) 25: a46(a46(x1)) -> a45(a45(a56(a56(a45(a45(x1)))))) 26: a12(a12(a23(a23(a12(a12(a23(a23(a12(a12(a23(a23(x1)))))))))))) -> x1 27: a23(a23(a34(a34(a23(a23(a34(a34(a23(a23(a34(a34(x1)))))))))))) -> x1 28: a34(a34(a45(a45(a34(a34(a45(a45(a34(a34(a45(a45(x1)))))))))))) -> x1 29: a45(a45(a56(a56(a45(a45(a56(a56(a45(a45(a56(a56(x1)))))))))))) -> x1 30: a12(a12(a34(a34(x1)))) -> a34(a34(a12(a12(x1)))) 31: a12(a12(a45(a45(x1)))) -> a45(a45(a12(a12(x1)))) 32: a12(a12(a56(a56(x1)))) -> a56(a56(a12(a12(x1)))) 33: a23(a23(a45(a45(x1)))) -> a45(a45(a23(a23(x1)))) 34: a23(a23(a56(a56(x1)))) -> a56(a56(a23(a23(x1)))) 35: a34(a34(a56(a56(x1)))) -> a56(a56(a34(a34(x1)))) Number of strict rules: 35 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 a36 w: 2 * x1 + 5 a25 w: 2 * x1 + 5 a16 w: 2 * x1 + 8 a24 w: 2 * x1 + 3 a45 w: x1 + 1 a34 w: x1 + 1 a26 w: 2 * x1 + 6 a56 w: x1 + 2 a13 w: 2 * x1 + 3 a15 w: 2 * x1 + 6 a14 w: x1 + 6 a23 w: x1 + 1 a12 w: x1 + 1 a35 w: 2 * x1 + 3 a46 w: x1 + 5 Number of strict rules: 6 Direct POLO(bPol) ... removes: 32 30 31 a36 w: 2 * x1 + 4 a25 w: 2 * x1 + 4 a16 w: 2 * x1 + 8 a24 w: 2 * x1 + 2 a45 w: x1 + 1 a34 w: x1 + 1 a26 w: 2 * x1 + 5 a56 w: x1 + 1 a13 w: 2 * x1 + 8 a15 w: 2 * x1 + 23 a14 w: x1 + 20 a23 w: x1 + 1 a12 w: 2 * x1 + 1 a35 w: 2 * x1 + 3 a46 w: x1 + 3 Number of strict rules: 3 Direct POLO(bPol) ... removes: 34 33 a36 w: x1 + 1 a25 w: 2 * x1 + 39 a16 w: 2 * x1 + 1 a24 w: 2 * x1 + 8 a45 w: 2 * x1 + 2 a34 w: x1 + 1 a26 w: 2 * x1 + 161 a56 w: x1 + 1 a13 w: x1 + 1 a15 w: 2 * x1 + 39 a14 w: x1 + 12 a23 w: 2 * x1 + 1 a12 w: x1 a35 w: x1 + 8 a46 w: 2 * x1 + 13 Number of strict rules: 1 Direct POLO(bPol) ... removes: 35 a36 w: 2 * x1 + 1 a25 w: x1 + 1 a16 w: x1 + 1 a24 w: x1 + 1 a45 w: x1 + 1 a34 w: 2 * x1 + 1 a26 w: x1 + 1 a56 w: x1 + 1 a13 w: x1 + 1 a15 w: x1 + 1 a14 w: x1 + 1 a23 w: x1 + 1 a12 w: x1 + 1 a35 w: x1 + 11 a46 w: 2 * x1 + 1 Number of strict rules: 0