/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES Input TRS: 1: a12(a12(x1)) -> x1 2: a13(a13(x1)) -> x1 3: a14(a14(x1)) -> x1 4: a15(a15(x1)) -> x1 5: a16(a16(x1)) -> x1 6: a23(a23(x1)) -> x1 7: a24(a24(x1)) -> x1 8: a25(a25(x1)) -> x1 9: a26(a26(x1)) -> x1 10: a34(a34(x1)) -> x1 11: a35(a35(x1)) -> x1 12: a36(a36(x1)) -> x1 13: a45(a45(x1)) -> x1 14: a46(a46(x1)) -> x1 15: a56(a56(x1)) -> x1 16: a13(x1) -> a12(a23(a12(x1))) 17: a14(x1) -> a12(a23(a34(a23(a12(x1))))) 18: a15(x1) -> a12(a23(a34(a45(a34(a23(a12(x1))))))) 19: a16(x1) -> a12(a23(a34(a45(a56(a45(a34(a23(a12(x1))))))))) 20: a24(x1) -> a23(a34(a23(x1))) 21: a25(x1) -> a23(a34(a45(a34(a23(x1))))) 22: a26(x1) -> a23(a34(a45(a56(a45(a34(a23(x1))))))) 23: a35(x1) -> a34(a45(a34(x1))) 24: a36(x1) -> a34(a45(a56(a45(a34(x1))))) 25: a46(x1) -> a45(a56(a45(x1))) 26: a12(a23(a12(a23(a12(a23(x1)))))) -> x1 27: a23(a34(a23(a34(a23(a34(x1)))))) -> x1 28: a34(a45(a34(a45(a34(a45(x1)))))) -> x1 29: a45(a56(a45(a56(a45(a56(x1)))))) -> x1 30: a12(a34(x1)) -> a34(a12(x1)) 31: a12(a45(x1)) -> a45(a12(x1)) 32: a12(a56(x1)) -> a56(a12(x1)) 33: a23(a45(x1)) -> a45(a23(x1)) 34: a23(a56(x1)) -> a56(a23(x1)) 35: a34(a56(x1)) -> a56(a34(x1)) Number of strict rules: 35 Direct poly ... 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(x1) w: (12285 + 2 * x1) a25(x1) w: (6 + 2 * x1) a16(x1) w: (10 + 2 * x1) a24(x1) w: (4 + 2 * x1) a45(x1) w: (1 + x1) a34(x1) w: (1 + x1) a26(x1) w: (24396 + 2 * x1) a56(x1) w: (1 + x1) a13(x1) w: (11653 + 2 * x1) a15(x1) w: (8 + 2 * x1) a14(x1) w: (6 + 2 * x1) a23(x1) w: (1 + x1) a12(x1) w: (1 + x1) a35(x1) w: (13509 + 2 * x1) a46(x1) w: (29408 + 2 * x1) Number of strict rules: 6 Direct poly ... removes: 34 33 a36(x1) w: (21651 + 2 * x1) a25(x1) w: (58381 + 2 * x1) a16(x1) w: (128875 + 2 * x1) a24(x1) w: (49009 + 2 * x1) a45(x1) w: (1 + x1) a34(x1) w: (4684 + x1) a26(x1) w: (82773 + 2 * x1) a56(x1) w: (1 + x1) a13(x1) w: (67158 + 2 * x1) a15(x1) w: (128871 + 2 * x1) a14(x1) w: (119499 + x1) a23(x1) w: (13214 + 2 * x1) a12(x1) w: (14098 + x1) a35(x1) w: (22875 + 2 * x1) a46(x1) w: (29408 + 2 * x1) Number of strict rules: 4 Direct poly ... removes: 35 a36(x1) w: (106714 + x1) a25(x1) w: (212222 + 2 * x1) a16(x1) w: (274739 + 2 * x1) a24(x1) w: (2 * x1) a45(x1) w: (3566 + x1) a34(x1) w: (22775 + 2 * x1) a26(x1) w: (299127 + 2 * x1) a56(x1) w: (12063 + x1) a13(x1) w: (18462 + 2 * x1) a15(x1) w: (212223 + 2 * x1) a14(x1) w: (x1) a23(x1) w: (6812 + 2 * x1) a12(x1) w: (x1) a35(x1) w: (88963 + 2 * x1) a46(x1) w: (48600 + 2 * x1) Number of strict rules: 3 Direct poly ... removes: 32 30 31 a36(x1) w: (8 + x1) a25(x1) w: (19 + 2 * x1) a16(x1) w: (54 + 2 * x1) a24(x1) w: (2 * x1) a45(x1) w: (1 + x1) a34(x1) w: (1 + 2 * x1) a26(x1) w: (24416 + 2 * x1) a56(x1) w: (1 + x1) a13(x1) w: (11652 + 2 * x1) a15(x1) w: (39 + 2 * x1) a14(x1) w: (x1) a23(x1) w: (1 + 2 * x1) a12(x1) w: (2 * x1) a35(x1) w: (13511 + 2 * x1) a46(x1) w: (29408 + 2 * x1) Number of strict rules: 0