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


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


YES
Input TRS:
    1: a__U11(tt(),M,N) -> a__U12(tt(),M,N)
    2: a__U12(tt(),M,N) -> s(a__plus(mark(N),mark(M)))
    3: a__plus(N,0()) -> mark(N)
    4: a__plus(N,s(M)) -> a__U11(tt(),M,N)
    5: mark(U11(X1,X2,X3)) -> a__U11(mark(X1),X2,X3)
    6: mark(U12(X1,X2,X3)) -> a__U12(mark(X1),X2,X3)
    7: mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2))
    8: mark(tt()) -> tt()
    9: mark(s(X)) -> s(mark(X))
    10: mark(0()) -> 0()
    11: a__U11(X1,X2,X3) -> U11(X1,X2,X3)
    12: a__U12(X1,X2,X3) -> U12(X1,X2,X3)
    13: a__plus(X1,X2) -> plus(X1,X2)
Number of strict rules: 13
Direct poly ... removes: 3
  a__plus(x1,x2)		w: (2241 + x2 + x1)
  U11(x1,x2,x3)		w: (3564 + x3 + x2 + x1)
  s(x1)		w: (1324 + x1)
  U12(x1,x2,x3)		w: (3564 + x3 + x2 + x1)
  0()		w: (28882)
  mark(x1)		w: (x1)
  a__U11(x1,x2,x3)		w: (3564 + x3 + x2 + x1)
  a__U12(x1,x2,x3)		w: (3564 + x3 + x2 + x1)
  plus(x1,x2)		w: (2241 + x2 + x1)
  tt()		w: (1)
Number of strict rules: 12
Direct poly ... removes: 4 2
  a__plus(x1,x2)		w: (5095 + 2 * x2 + x1)
  U11(x1,x2,x3)		w: (3567 + x3 + 2 * x2 + x1)
  s(x1)		w: (16144 + x1)
  U12(x1,x2,x3)		w: (3567 + x3 + 2 * x2 + x1)
  0()		w: (1)
  mark(x1)		w: (x1)
  a__U11(x1,x2,x3)		w: (3567 + x3 + 2 * x2 + x1)
  a__U12(x1,x2,x3)		w: (3567 + x3 + 2 * x2 + x1)
  plus(x1,x2)		w: (5095 + 2 * x2 + x1)
  tt()		w: (33815)
Number of strict rules: 10
Direct poly ... removes: 1
  a__plus(x1,x2)		w: (12618 + 2 * x2 + x1)
  U11(x1,x2,x3)		w: (16917 + x3 + 2 * x2 + x1)
  s(x1)		w: (12457 + x1)
  U12(x1,x2,x3)		w: (4460 + x3 + 2 * x2 + x1)
  0()		w: (868)
  mark(x1)		w: (x1)
  a__U11(x1,x2,x3)		w: (16917 + x3 + 2 * x2 + x1)
  a__U12(x1,x2,x3)		w: (4460 + x3 + 2 * x2 + x1)
  plus(x1,x2)		w: (12618 + 2 * x2 + x1)
  tt()		w: (20615)
Number of strict rules: 9
Direct poly ... removes: 8 5 10 7 12 11 9 13 6
  a__plus(x1,x2)		w: (25234 + x2 + x1)
  U11(x1,x2,x3)		w: (15261 + x3 + 2 * x2 + x1)
  s(x1)		w: (19556 + x1)
  U12(x1,x2,x3)		w: (7632 + x3 + x2 + x1)
  0()		w: (868)
  mark(x1)		w: (2 * x1)
  a__U11(x1,x2,x3)		w: (15262 + x3 + 2 * x2 + x1)
  a__U12(x1,x2,x3)		w: (15262 + x3 + 2 * x2 + x1)
  plus(x1,x2)		w: (12618 + x2 + x1)
  tt()		w: (29528)
Number of strict rules: 0