/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: minus(minus(x)) -> x
    2: minus(+(x,y)) -> *(minus(minus(minus(x))),minus(minus(minus(y))))
    3: minus(*(x,y)) -> +(minus(minus(minus(x))),minus(minus(minus(y))))
    4: f(minus(x)) -> minus(minus(minus(f(x))))
Number of strict rules: 4
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #minus(+(x,y)) -> #minus(minus(minus(x)))
   #2: #minus(+(x,y)) -> #minus(minus(x))
   #3: #minus(+(x,y)) -> #minus(x)
   #4: #minus(+(x,y)) -> #minus(minus(minus(y)))
   #5: #minus(+(x,y)) -> #minus(minus(y))
   #6: #minus(+(x,y)) -> #minus(y)
   #7: #minus(*(x,y)) -> #minus(minus(minus(x)))
   #8: #minus(*(x,y)) -> #minus(minus(x))
   #9: #minus(*(x,y)) -> #minus(x)
   #10: #minus(*(x,y)) -> #minus(minus(minus(y)))
   #11: #minus(*(x,y)) -> #minus(minus(y))
   #12: #minus(*(x,y)) -> #minus(y)
   #13: #f(minus(x)) -> #minus(minus(minus(f(x))))
   #14: #f(minus(x)) -> #minus(minus(f(x)))
   #15: #f(minus(x)) -> #minus(f(x))
   #16: #f(minus(x)) -> #f(x)
Number of SCCs: 2, DPs: 13
	SCC { #16 }
Sum... succeeded.
  minus(x1)		w: (1 + x1)
  f(x1)		w: (0)
  #f(x1)		w: (x1)
  #minus(x1)		w: (0)
  +(x1,x2)		w: (0)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #16
Number of SCCs: 1, DPs: 12
	SCC { #1..12 }
Sum... succeeded.
  minus(x1)		w: (x1)
  f(x1)		w: (0)
  #f(x1)		w: (0)
  #minus(x1)		w: (x1)
  +(x1,x2)		w: (7720 + x2 + x1)
  *(x1,x2)		w: (7720 + x2 + x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #1..12
Number of SCCs: 0, DPs: 0