/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: pred(s(x)) -> x
    2: minus(x,0()) -> x
    3: minus(x,s(y)) -> pred(minus(x,y))
    4: quot(0(),s(y)) -> 0()
    5: quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
Number of strict rules: 5
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #quot(s(x),s(y)) -> #quot(minus(x,y),s(y))
   #2: #quot(s(x),s(y)) -> #minus(x,y)
   #3: #minus(x,s(y)) -> #pred(minus(x,y))
   #4: #minus(x,s(y)) -> #minus(x,y)
Number of SCCs: 2, DPs: 2
	SCC { #4 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  pred(x1)		w: (0)
  0()		w: (0)
  quot(x1,x2)		w: (0)
  #minus(x1,x2)		w: (x2)
  #pred(x1)		w: (0)
  #quot(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... succeeded.
  s(x1)		w: (8857 + x1)
  minus(x1,x2)		w: (8856 + x1)
  pred(x1)		w: (x1)
  0()		w: (1)
  quot(x1,x2)		w: (0)
  #minus(x1,x2)		w: (0)
  #pred(x1)		w: (0)
  #quot(x1,x2)		w: (2 + x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0