/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: __(__(X,Y),Z) -> __(X,__(Y,Z))
    2: __(X,nil()) -> X
    3: __(nil(),X) -> X
    4: and(tt(),X) -> activate(X)
    5: isList(V) -> isNeList(activate(V))
    6: isList(n__nil()) -> tt()
    7: isList(n____(V1,V2)) -> and(isList(activate(V1)),n__isList(activate(V2)))
    8: isNeList(V) -> isQid(activate(V))
    9: isNeList(n____(V1,V2)) -> and(isList(activate(V1)),n__isNeList(activate(V2)))
    10: isNeList(n____(V1,V2)) -> and(isNeList(activate(V1)),n__isList(activate(V2)))
    11: isNePal(V) -> isQid(activate(V))
    12: isNePal(n____(I,__(P,I))) -> and(isQid(activate(I)),n__isPal(activate(P)))
    13: isPal(V) -> isNePal(activate(V))
    14: isPal(n__nil()) -> tt()
    15: isQid(n__a()) -> tt()
    16: isQid(n__e()) -> tt()
    17: isQid(n__i()) -> tt()
    18: isQid(n__o()) -> tt()
    19: isQid(n__u()) -> tt()
    20: nil() -> n__nil()
    21: __(X1,X2) -> n____(X1,X2)
    22: isList(X) -> n__isList(X)
    23: isNeList(X) -> n__isNeList(X)
    24: isPal(X) -> n__isPal(X)
    25: a() -> n__a()
    26: e() -> n__e()
    27: i() -> n__i()
    28: o() -> n__o()
    29: u() -> n__u()
    30: activate(n__nil()) -> nil()
    31: activate(n____(X1,X2)) -> __(X1,X2)
    32: activate(n__isList(X)) -> isList(X)
    33: activate(n__isNeList(X)) -> isNeList(X)
    34: activate(n__isPal(X)) -> isPal(X)
    35: activate(n__a()) -> a()
    36: activate(n__e()) -> e()
    37: activate(n__i()) -> i()
    38: activate(n__o()) -> o()
    39: activate(n__u()) -> u()
    40: activate(X) -> X
Number of strict rules: 40
Direct POLO(bPol) ... removes: 18 4 15 8 1 3 16 21 36 26 19 32 17 27 34 22 28 5 33 10 39 7 20 25 30 14 31 12 23 24 11 9 13 40 6 38 37 35 29 2
      a 	w: 4
      n__a	w: 3
      n__o	w: 3
      isNeList	w: x1 + 3
      isPal	w: x1 + 6
      u 	w: 4
      activate	w: x1 + 2
      and	w: x1 + x2 + 1
      n__isNeList	w: x1 + 2
      n__i	w: 3
      n__isList	w: x1 + 5
      isNePal	w: x1 + 3
      n__isPal	w: x1 + 5
      n__nil	w: 1
      isQid	w: x1
      n____	w: 2 * x1 + x2 + 11
      n__e	w: 3
      o 	w: 4
      isList	w: x1 + 6
      nil	w: 2
      n__u	w: 3
      i 	w: 4
      e 	w: 4
      tt	w: 2
      __	w: 2 * x1 + x2 + 12
Number of strict rules: 0