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


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


YES
Input TRS:
    1: *(x,+(y,z)) -> +(*(x,y),*(x,z))
    2: *(+(x,y),z) -> +(*(x,z),*(y,z))
    3: *(x,1()) -> x
    4: *(1(),y) -> y
Number of strict rules: 4
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #*(+(x,y),z) -> #*(x,z)
   #2: #*(+(x,y),z) -> #*(y,z)
   #3: #*(x,+(y,z)) -> #*(x,y)
   #4: #*(x,+(y,z)) -> #*(x,z)
Number of SCCs: 1, DPs: 4
	SCC { #1..4 }
Sum... succeeded.
  1()		w: (0)
  #*(x1,x2)		w: (x2)
  +(x1,x2)		w: (1 + x2 + x1)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #3 #4
Number of SCCs: 1, DPs: 2
	SCC { #1 #2 }
Sum... succeeded.
  1()		w: (0)
  #*(x1,x2)		w: (x1)
  +(x1,x2)		w: (1 + x2 + x1)
  *(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1 #2
Number of SCCs: 0, DPs: 0