/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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 poly ... removes: 4 3 5 2
  top(x1)		w: (26928 + x1)
  and(x1,x2)		w: (14137 + x2 + x1)
  isNePal(x1)		w: (1 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (x1)
  nil()		w: (1)
  mark(x1)		w: (x1)
  active(x1)		w: (x1)
  tt()		w: (1)
  __(x1,x2)		w: (1 + x2 + x1)
Number of strict rules: 19
Direct poly ... removes: 1 22 10
  top(x1)		w: (47461 + x1)
  and(x1,x2)		w: (28938 + x2 + x1)
  isNePal(x1)		w: (10336 + x1)
  proper(x1)		w: (x1)
  ok(x1)		w: (x1)
  nil()		w: (2805)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (x1)
  tt()		w: (3)
  __(x1,x2)		w: (3025 + x2 + 2 * x1)
Number of strict rules: 16
Direct poly ... removes: 19 17 20
  top(x1)		w: (78710 + x1)
  and(x1,x2)		w: (1 + x2 + x1)
  isNePal(x1)		w: (x1)
  proper(x1)		w: (1 + 2 * x1)
  ok(x1)		w: (1 + x1)
  nil()		w: (0)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (1 + x1)
  tt()		w: (1)
  __(x1,x2)		w: (1 + x2 + x1)
Number of strict rules: 13
Direct poly ... removes: 16 14
  top(x1)		w: (78710 + x1)
  and(x1,x2)		w: (2 + x2 + x1)
  isNePal(x1)		w: (x1)
  proper(x1)		w: (1 + 2 * x1)
  ok(x1)		w: (1 + x1)
  nil()		w: (0)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (1 + x1)
  tt()		w: (1)
  __(x1,x2)		w: (2 + x2 + x1)
Number of strict rules: 11
Direct poly ... removes: 15 8 7 6
  top(x1)		w: (93756 + x1)
  and(x1,x2)		w: (17525 + x2 + x1)
  isNePal(x1)		w: (x1)
  proper(x1)		w: (1 + x1)
  ok(x1)		w: (2 * x1)
  nil()		w: (0)
  mark(x1)		w: (1 + x1)
  active(x1)		w: (2 * x1)
  tt()		w: (1)
  __(x1,x2)		w: (3579 + x2 + x1)
Number of strict rules: 7
Direct poly ... removes: 13
  top(x1)		w: (1183 + x1)
  and(x1,x2)		w: (1 + 2 * x2 + x1)
  isNePal(x1)		w: (2 * x1)
  proper(x1)		w: (2 * x1)
  ok(x1)		w: (2 * x1)
  nil()		w: (0)
  mark(x1)		w: (10435 + x1)
  active(x1)		w: (2 * x1)
  tt()		w: (5216)
  __(x1,x2)		w: (15331 + x2 + x1)
Number of strict rules: 6
Direct poly ... removes: 18 21 23 11 9
  top(x1)		w: (1191 + x1)
  and(x1,x2)		w: (44291 + 2 * x2 + x1)
  isNePal(x1)		w: (22144 + 2 * x1)
  proper(x1)		w: (22143 + 2 * x1)
  ok(x1)		w: (22145 + 2 * x1)
  nil()		w: (28776)
  mark(x1)		w: (22142 + x1)
  active(x1)		w: (22143 + 2 * x1)
  tt()		w: (841522)
  __(x1,x2)		w: (66436 + 2 * x2 + 2 * x1)
Number of strict rules: 1
Direct poly ... removes: 12
  top(x1)		w: (1191 + x1)
  and(x1,x2)		w: (46835 + x2 + 2 * x1)
  isNePal(x1)		w: (24508 + x1)
  proper(x1)		w: (46840 + x1)
  ok(x1)		w: (7040 + 2 * x1)
  nil()		w: (39801)
  mark(x1)		w: (46839 + x1)
  active(x1)		w: (1 + x1)
  tt()		w: (1)
  __(x1,x2)		w: (7036 + 2 * x2 + x1)
Number of strict rules: 0