/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: quot(0(),s(y),s(z)) -> 0()
    2: quot(s(x),s(y),z) -> quot(x,y,z)
    3: plus(0(),y) -> y
    4: plus(s(x),y) -> s(plus(x,y))
    5: quot(x,0(),s(z)) -> s(quot(x,plus(z,s(0())),s(z)))
Number of strict rules: 5
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #quot(s(x),s(y),z) -> #quot(x,y,z)
   #2: #quot(x,0(),s(z)) -> #quot(x,plus(z,s(0())),s(z))
   #3: #quot(x,0(),s(z)) -> #plus(z,s(0()))
   #4: #plus(s(x),y) -> #plus(x,y)
Number of SCCs: 2, DPs: 3
	SCC { #4 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #plus(x1,x2)		w: (x1)
  0()		w: (0)
  quot(x1,x2,x3)		w: (0)
  plus(x1,x2)		w: (0)
  #quot(x1,x2,x3)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 2
	SCC { #1 #2 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #plus(x1,x2)		w: (0)
  0()		w: (21239)
  quot(x1,x2,x3)		w: (0)
  plus(x1,x2)		w: (1 + x1)
  #quot(x1,x2,x3)		w: (2437 + x1)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... succeeded.
  s(x1)		w: (1)
  #plus(x1,x2)		w: (0)
  0()		w: (3)
  quot(x1,x2,x3)		w: (0)
  plus(x1,x2)		w: (1 + x2)
  #quot(x1,x2,x3)		w: (3578 + x2)
    USABLE RULES: { 3 4 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0