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


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


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 poly ... removes: 4 3 5 6 2
  U11(x1)		w: (2 + x1)
  top(x1)		w: (x1)
  isNePal(x1)		w: (12330 + x1)
  U12(x1)		w: (1 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (x1)
  nil()		w: (24389)
  mark(x1)		w: (x1)
  active(x1)		w: (x1)
  tt()		w: (1)
  __(x1,x2)		w: (11651 + x2 + x1)
Number of strict rules: 23
Direct poly ... removes: 1 27 14 12
  U11(x1)		w: (1 + 2 * x1)
  top(x1)		w: (15046 + x1)
  isNePal(x1)		w: (3578 + x1)
  U12(x1)		w: (2023 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (x1)
  nil()		w: (16335)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (x1)
  tt()		w: (6218)
  __(x1,x2)		w: (17526 + x2 + 2 * x1)
Number of strict rules: 19
Direct poly ... removes: 18 21 19 17 22 28 20 23 24
  U11(x1)		w: (1558 + 2 * x1)
  top(x1)		w: (15046 + x1)
  isNePal(x1)		w: (1439 + x1)
  U12(x1)		w: (2023 + x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (310 + x1)
  nil()		w: (311)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (x1)
  tt()		w: (466)
  __(x1,x2)		w: (526 + x2 + 2 * x1)
Number of strict rules: 10
Direct poly ... removes: 25
  U11(x1)		w: (1370 + 2 * x1)
  top(x1)		w: (13824 + x1)
  isNePal(x1)		w: (1769 + x1)
  U12(x1)		w: (1370 + 2 * x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (1 + x1)
  nil()		w: (1)
  mark(x1)		w: (x1)
  active(x1)		w: (x1)
  tt()		w: (22)
  __(x1,x2)		w: (1 + x2 + 2 * x1)
Number of strict rules: 9
Direct poly ... removes: 9
  U11(x1)		w: (1 + 2 * x1)
  top(x1)		w: (28087 + x1)
  isNePal(x1)		w: (x1)
  U12(x1)		w: (2 * x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (2 + x1)
  nil()		w: (1)
  mark(x1)		w: (x1)
  active(x1)		w: (2 * x1)
  tt()		w: (2)
  __(x1,x2)		w: (x2 + 2 * x1)
Number of strict rules: 8
Direct poly ... removes: 8 7 11
  U11(x1)		w: (29 + x1)
  top(x1)		w: (28087 + x1)
  isNePal(x1)		w: (2 + 2 * x1)
  U12(x1)		w: (1 + 2 * x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (2 + 2 * x1)
  nil()		w: (6437)
  mark(x1)		w: (x1)
  active(x1)		w: (1 + 2 * x1)
  tt()		w: (1)
  __(x1,x2)		w: (2 + 2 * x2 + 2 * x1)
Number of strict rules: 5
Direct poly ... removes: 26 10
  U11(x1)		w: (29 + x1)
  top(x1)		w: (28087 + x1)
  isNePal(x1)		w: (1 + 2 * x1)
  U12(x1)		w: (2 + 2 * x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (2 + 2 * x1)
  nil()		w: (16494)
  mark(x1)		w: (x1)
  active(x1)		w: (1 + 2 * x1)
  tt()		w: (1)
  __(x1,x2)		w: (1 + 2 * x2 + 2 * x1)
Number of strict rules: 3
Direct poly ... removes: 15 16 13
  U11(x1)		w: (14 + 2 * x1)
  top(x1)		w: (28087 + 2 * x1)
  isNePal(x1)		w: (9 + 2 * x1)
  U12(x1)		w: (9 + 2 * x1)
  proper(x1)		w: (8 + x1)
  ok(x1)		w: (8 + 2 * x1)
  nil()		w: (1)
  mark(x1)		w: (7 + x1)
  active(x1)		w: (1 + x1)
  tt()		w: (1)
  __(x1,x2)		w: (2 + 2 * x2 + 2 * x1)
Number of strict rules: 0