/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: +(a(),b()) -> +(b(),a())
    2: +(a(),+(b(),z)) -> +(b(),+(a(),z))
    3: +(+(x,y),z) -> +(x,+(y,z))
    4: f(a(),y) -> a()
    5: f(b(),y) -> b()
    6: f(+(x,y),z) -> +(f(x,z),f(y,z))
Number of strict rules: 6
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #+(a(),+(b(),z)) -> #+(b(),+(a(),z))
   #2: #+(a(),+(b(),z)) -> #+(a(),z)
   #3: #f(+(x,y),z) -> #+(f(x,z),f(y,z))
   #4: #f(+(x,y),z) -> #f(x,z)
   #5: #f(+(x,y),z) -> #f(y,z)
   #6: #+(+(x,y),z) -> #+(x,+(y,z))
   #7: #+(+(x,y),z) -> #+(y,z)
   #8: #+(a(),b()) -> #+(b(),a())
Number of SCCs: 3, DPs: 5
	SCC { #2 }
Sum... succeeded.
  a()		w: (1)
  b()		w: (1)
  f(x1,x2)		w: (0)
  #f(x1,x2)		w: (0)
  +(x1,x2)		w: (x2 + x1)
  #+(x1,x2)		w: (21238 + x2 + x1)
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 2, DPs: 4
	SCC { #4 #5 }
Sum... succeeded.
  a()		w: (1)
  b()		w: (1)
  f(x1,x2)		w: (0)
  #f(x1,x2)		w: (x1)
  +(x1,x2)		w: (1 + x2 + x1)
  #+(x1,x2)		w: (21238)
    USABLE RULES: { }
    Removed DPs: #4 #5
Number of SCCs: 1, DPs: 2
	SCC { #6 #7 }
Sum... succeeded.
  a()		w: (8856)
  b()		w: (1)
  f(x1,x2)		w: (0)
  #f(x1,x2)		w: (0)
  +(x1,x2)		w: (1 + x2 + x1)
  #+(x1,x2)		w: (x1)
    USABLE RULES: { }
    Removed DPs: #6 #7
Number of SCCs: 0, DPs: 0