/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: a__and(tt(),X) -> mark(X)
    2: a__plus(N,0()) -> mark(N)
    3: a__plus(N,s(M)) -> s(a__plus(mark(N),mark(M)))
    4: mark(and(X1,X2)) -> a__and(mark(X1),X2)
    5: mark(plus(X1,X2)) -> a__plus(mark(X1),mark(X2))
    6: mark(tt()) -> tt()
    7: mark(0()) -> 0()
    8: mark(s(X)) -> s(mark(X))
    9: a__and(X1,X2) -> and(X1,X2)
    10: a__plus(X1,X2) -> plus(X1,X2)
Number of strict rules: 10
Direct poly ... removes: 1 2
  a__plus(x1,x2)		w: (1 + x2 + x1)
  s(x1)		w: (1 + x1)
  and(x1,x2)		w: (1 + x2 + 2 * x1)
  0()		w: (1)
  mark(x1)		w: (x1)
  plus(x1,x2)		w: (1 + x2 + x1)
  tt()		w: (1)
  a__and(x1,x2)		w: (1 + x2 + 2 * x1)
Number of strict rules: 8
Direct poly ... removes: 3
  a__plus(x1,x2)		w: (1325 + 2 * x2 + x1)
  s(x1)		w: (18458 + x1)
  and(x1,x2)		w: (25907 + x2 + x1)
  0()		w: (28882)
  mark(x1)		w: (x1)
  plus(x1,x2)		w: (1325 + 2 * x2 + x1)
  tt()		w: (2241)
  a__and(x1,x2)		w: (25907 + x2 + x1)
Number of strict rules: 7
Direct poly ... removes: 4 8 7 9 6
  a__plus(x1,x2)		w: (x2 + x1)
  s(x1)		w: (16908 + x1)
  and(x1,x2)		w: (25907 + x2 + x1)
  0()		w: (59089)
  mark(x1)		w: (2 * x1)
  plus(x1,x2)		w: (x2 + x1)
  tt()		w: (21238)
  a__and(x1,x2)		w: (25908 + x2 + x1)
Number of strict rules: 2
Direct poly ... removes: 5 10
  a__plus(x1,x2)		w: (8 + x2 + x1)
  s(x1)		w: (16908 + 2 * x1)
  and(x1,x2)		w: (25907 + x2 + x1)
  0()		w: (1)
  mark(x1)		w: (2 * x1)
  plus(x1,x2)		w: (7 + x2 + x1)
  tt()		w: (12458)
  a__and(x1,x2)		w: (25908 + x2 + x1)
Number of strict rules: 0