/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
Input TRS:
    1: active(__(__(X,Y),Z)) -> mark(__(X,__(Y,Z)))
    2: active(__(X,nil())) -> mark(X)
    3: active(__(nil(),X)) -> mark(X)
    4: active(U11(tt())) -> mark(U12(tt()))
    5: active(U12(tt())) -> mark(tt())
    6: active(isNePal(__(I,__(P,I)))) -> mark(U11(tt()))
    7: active(__(X1,X2)) -> __(active(X1),X2)
    8: active(__(X1,X2)) -> __(X1,active(X2))
    9: active(U11(X)) -> U11(active(X))
    10: active(U12(X)) -> U12(active(X))
    11: active(isNePal(X)) -> isNePal(active(X))
    12: __(mark(X1),X2) -> mark(__(X1,X2))
    13: __(X1,mark(X2)) -> mark(__(X1,X2))
    14: U11(mark(X)) -> mark(U11(X))
    15: U12(mark(X)) -> mark(U12(X))
    16: isNePal(mark(X)) -> mark(isNePal(X))
    17: proper(__(X1,X2)) -> __(proper(X1),proper(X2))
    18: proper(nil()) -> ok(nil())
    19: proper(U11(X)) -> U11(proper(X))
    20: proper(tt()) -> ok(tt())
    21: proper(U12(X)) -> U12(proper(X))
    22: proper(isNePal(X)) -> isNePal(proper(X))
    23: __(ok(X1),ok(X2)) -> ok(__(X1,X2))
    24: U11(ok(X)) -> ok(U11(X))
    25: U12(ok(X)) -> ok(U12(X))
    26: isNePal(ok(X)) -> ok(isNePal(X))
    27: top(mark(X)) -> top(proper(X))
    28: top(ok(X)) -> top(active(X))
Number of strict rules: 28
Direct POLO(bPol) ... removes: 4 3 5 6 2
      U11	w: x1 + 2
      top	w: x1
      isNePal	w: x1 + 2
      U12	w: x1 + 1
      proper	w: x1
      ok	w: x1
      nil	w: 3
      mark	w: x1
      active	w: x1
      tt	w: 1
      __	w: x1 + x2 + 6
Number of strict rules: 23
Direct POLO(bPol) ... removes: 1 16 27 14 12
      U11	w: 2 * x1 + 1
      top	w: x1
      isNePal	w: 2 * x1 + 1
      U12	w: x1 + 1
      proper	w: x1
      ok	w: x1
      nil	w: 1
      mark	w: x1 + 1
      active	w: x1
      tt	w: 1
      __	w: 2 * x1 + x2 + 2
Number of strict rules: 18
Direct POLO(bPol) ... removes: 18 17 20
      U11	w: 2 * x1
      top	w: x1
      isNePal	w: 2 * x1
      U12	w: x1
      proper	w: 2 * x1
      ok	w: x1
      nil	w: 1
      mark	w: x1 + 1
      active	w: x1
      tt	w: 1
      __	w: 2 * x1 + x2 + 1
Number of strict rules: 15
Direct POLO(bPol) ... removes: 15 19
      U11	w: x1 + 3
      top	w: x1
      isNePal	w: x1
      U12	w: 2 * x1
      proper	w: 2 * x1
      ok	w: x1
      nil	w: 1
      mark	w: x1 + 2
      active	w: x1
      tt	w: 1
      __	w: x1 + x2 + 3
Number of strict rules: 13
Direct POLO(bPol) ... removes: 28 23
      U11	w: x1 + 3
      top	w: 2 * x1
      isNePal	w: x1 + 1
      U12	w: x1 + 1
      proper	w: x1 + 5
      ok	w: x1 + 6
      nil	w: 1
      mark	w: x1 + 4
      active	w: x1 + 1
      tt	w: 1
      __	w: x1 + x2 + 1
Number of strict rules: 11
Direct POLO(bPol) ... removes: 8 7 13
      U11	w: x1
      top	w: x1
      isNePal	w: x1
      U12	w: x1
      proper	w: x1 + 21
      ok	w: 2 * x1 + 1
      nil	w: 21
      mark	w: x1 + 20
      active	w: 2 * x1 + 2
      tt	w: 1
      __	w: x1 + 2 * x2 + 3
Number of strict rules: 8
Direct POLO(bPol) ... removes: 21
      U11	w: x1
      top	w: x1
      isNePal	w: x1
      U12	w: x1 + 2
      proper	w: 2 * x1 + 2
      ok	w: x1 + 3
      nil	w: 0
      mark	w: 2 * x1 + 1
      active	w: x1 + 4
      tt	w: 10
      __	w: x1 + 2 * x2
Number of strict rules: 7
Direct POLO(bPol) ... removes: 22
      U11	w: x1 + 1
      top	w: x1
      isNePal	w: x1 + 1
      U12	w: x1 + 4
      proper	w: 2 * x1 + 2
      ok	w: x1 + 3
      nil	w: 0
      mark	w: 2 * x1 + 1
      active	w: x1 + 4
      tt	w: 4
      __	w: x1 + x2
Number of strict rules: 6
Direct POLO(bPol) ... removes: 24 9
      U11	w: 2 * x1 + 3
      top	w: x1
      isNePal	w: x1
      U12	w: x1
      proper	w: x1 + 10
      ok	w: x1 + 1
      nil	w: 1
      mark	w: 2 * x1 + 2
      active	w: 2 * x1 + 2
      tt	w: 2
      __	w: 2 * x1 + 2 * x2 + 2
Number of strict rules: 4
Direct POLO(bPol) ... removes: 26 11
      U11	w: 2 * x1 + 2
      top	w: x1
      isNePal	w: 2 * x1 + 3
      U12	w: x1
      proper	w: 2 * x1 + 4
      ok	w: x1 + 1
      nil	w: 1
      mark	w: 2 * x1 + 1
      active	w: 2 * x1 + 2
      tt	w: 3
      __	w: x1 + x2 + 1
Number of strict rules: 2
Direct POLO(bPol) ... removes: 25
      U11	w: x1 + 1
      top	w: x1
      isNePal	w: x1 + 1
      U12	w: 2 * x1 + 1
      proper	w: 2 * x1 + 5
      ok	w: x1 + 7
      nil	w: 1
      mark	w: x1 + 4
      active	w: x1
      tt	w: 1
      __	w: x1 + 2 * x2 + 1
Number of strict rules: 1
Direct POLO(bPol) ... removes: 10
      U11	w: 2 * x1 + 8
      top	w: x1
      isNePal	w: x1
      U12	w: x1 + 7
      proper	w: x1 + 1
      ok	w: 2 * x1 + 1
      nil	w: 1
      mark	w: 2 * x1 + 7
      active	w: 2 * x1 + 2
      tt	w: 1
      __	w: x1 + x2 + 1
Number of strict rules: 0