/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: minus(x,0()) -> x
    2: minus(s(x),s(y)) -> minus(x,y)
    3: double(0()) -> 0()
    4: double(s(x)) -> s(s(double(x)))
    5: plus(0(),y) -> y
    6: plus(s(x),y) -> s(plus(x,y))
    7: plus(s(x),y) -> plus(x,s(y))
    8: plus(s(x),y) -> s(plus(minus(x,y),double(y)))
    9: plus(s(plus(x,y)),z) -> s(plus(plus(x,y),z))
Number of strict rules: 9
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #minus(s(x),s(y)) -> #minus(x,y)
   #2: #plus(s(x),y) -> #plus(x,y)
   #3: #plus(s(plus(x,y)),z) -> #plus(plus(x,y),z)
   #4: #plus(s(x),y) -> #plus(x,s(y))
   #5: #plus(s(x),y) -> #plus(minus(x,y),double(y))
   #6: #plus(s(x),y) -> #minus(x,y)
   #7: #plus(s(x),y) -> #double(y)
   #8: #double(s(x)) -> #double(x)
Number of SCCs: 3, DPs: 6
	SCC { #8 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  #plus(x1,x2)		w: (0)
  0()		w: (0)
  #double(x1)		w: (x1)
  double(x1)		w: (0)
  #minus(x1,x2)		w: (0)
  plus(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #8
Number of SCCs: 2, DPs: 5
	SCC { #1 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  #plus(x1,x2)		w: (0)
  0()		w: (0)
  #double(x1)		w: (0)
  double(x1)		w: (0)
  #minus(x1,x2)		w: (x2)
  plus(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 4
	SCC { #2..5 }
Sum... Max... QLPOpS... succeeded.
  s(x1)	1[x1]
  minus(x1,x2)	x1
  #plus(x1,x2)	x1
  0()	2
  #double(x1)	0[]
  double(x1)	2[x1]
  #minus(x1,x2)	0[x2]
  plus(x1,x2)	3[x1,x2]
    USABLE RULES: { 1..9 }
    Removed DPs: #2..5
Number of SCCs: 0, DPs: 0