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