/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(U11(tt(),M,N)) -> mark(U12(tt(),M,N))
    2: active(U12(tt(),M,N)) -> mark(s(plus(N,M)))
    3: active(plus(N,0())) -> mark(N)
    4: active(plus(N,s(M))) -> mark(U11(tt(),M,N))
    5: mark(U11(X1,X2,X3)) -> active(U11(mark(X1),X2,X3))
    6: mark(tt()) -> active(tt())
    7: mark(U12(X1,X2,X3)) -> active(U12(mark(X1),X2,X3))
    8: mark(s(X)) -> active(s(mark(X)))
    9: mark(plus(X1,X2)) -> active(plus(mark(X1),mark(X2)))
    10: mark(0()) -> active(0())
    11: U11(mark(X1),X2,X3) -> U11(X1,X2,X3)
    12: U11(X1,mark(X2),X3) -> U11(X1,X2,X3)
    13: U11(X1,X2,mark(X3)) -> U11(X1,X2,X3)
    14: U11(active(X1),X2,X3) -> U11(X1,X2,X3)
    15: U11(X1,active(X2),X3) -> U11(X1,X2,X3)
    16: U11(X1,X2,active(X3)) -> U11(X1,X2,X3)
    17: U12(mark(X1),X2,X3) -> U12(X1,X2,X3)
    18: U12(X1,mark(X2),X3) -> U12(X1,X2,X3)
    19: U12(X1,X2,mark(X3)) -> U12(X1,X2,X3)
    20: U12(active(X1),X2,X3) -> U12(X1,X2,X3)
    21: U12(X1,active(X2),X3) -> U12(X1,X2,X3)
    22: U12(X1,X2,active(X3)) -> U12(X1,X2,X3)
    23: s(mark(X)) -> s(X)
    24: s(active(X)) -> s(X)
    25: plus(mark(X1),X2) -> plus(X1,X2)
    26: plus(X1,mark(X2)) -> plus(X1,X2)
    27: plus(active(X1),X2) -> plus(X1,X2)
    28: plus(X1,active(X2)) -> plus(X1,X2)
Number of strict rules: 28
Direct poly ... removes: 3
  U11(x1,x2,x3)		w: (11820 + x3 + x2 + 2 * x1)
  s(x1)		w: (8510 + x1)
  U12(x1,x2,x3)		w: (11820 + x3 + x2 + 2 * x1)
  0()		w: (240)
  mark(x1)		w: (x1)
  plus(x1,x2)		w: (11684 + x2 + x1)
  active(x1)		w: (x1)
  tt()		w: (4187)
Number of strict rules: 27
Direct poly ... removes: 4 1 2
  U11(x1,x2,x3)		w: (10542 + x3 + 2 * x2 + x1)
  s(x1)		w: (1065 + x1)
  U12(x1,x2,x3)		w: (9479 + x3 + 2 * x2 + x1)
  0()		w: (15081)
  mark(x1)		w: (x1)
  plus(x1,x2)		w: (9048 + 2 * x2 + x1)
  active(x1)		w: (x1)
  tt()		w: (635)
Number of strict rules: 24
Direct poly ... removes: 18 8 26 19 17 5 10 7 25 12 23 11 13 6
  U11(x1,x2,x3)		w: (11453 + 2 * x3 + 2 * x2 + x1)
  s(x1)		w: (1 + x1)
  U12(x1,x2,x3)		w: (371778 + x3 + x2 + 2 * x1)
  0()		w: (30249)
  mark(x1)		w: (87218 + 2 * x1)
  plus(x1,x2)		w: (174436 + 2 * x2 + x1)
  active(x1)		w: (x1)
  tt()		w: (32157)
Number of strict rules: 10
Direct poly ... removes: 9
  U11(x1,x2,x3)		w: (124 + 2 * x3 + 2 * x2 + x1)
  s(x1)		w: (21256 + x1)
  U12(x1,x2,x3)		w: (3454 + x3 + x2 + 2 * x1)
  0()		w: (1)
  mark(x1)		w: (1 + 2 * x1)
  plus(x1,x2)		w: (3 + 2 * x2 + x1)
  active(x1)		w: (x1)
  tt()		w: (21133)
Number of strict rules: 9
Direct poly ... removes: 15 16 21 27 22 28 20 14 24
  U11(x1,x2,x3)		w: (9124 + 2 * x3 + x2 + 2 * x1)
  s(x1)		w: (55927 + x1)
  U12(x1,x2,x3)		w: (98848 + x3 + x2 + 2 * x1)
  0()		w: (12148)
  mark(x1)		w: (1 + 2 * x1)
  plus(x1,x2)		w: (3889 + x2 + x1)
  active(x1)		w: (1 + x1)
  tt()		w: (10392)
Number of strict rules: 0