/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: le(0(),y) -> true()
    4: le(s(x),0()) -> false()
    5: le(s(x),s(y)) -> le(x,y)
    6: quot(0(),s(y)) -> 0()
    7: quot(s(x),s(y)) -> s(quot(minus(s(x),s(y)),s(y)))
Number of strict rules: 7
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #minus(s(x),s(y)) -> #minus(x,y)
   #2: #quot(s(x),s(y)) -> #quot(minus(s(x),s(y)),s(y))
   #3: #quot(s(x),s(y)) -> #minus(s(x),s(y))
   #4: #le(s(x),s(y)) -> #le(x,y)
Number of SCCs: 3, DPs: 3
	SCC { #4 }
Sum... succeeded.
  le(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  #le(x1,x2)		w: (x2 + x1)
  minus(x1,x2)		w: (0)
  false()		w: (0)
  true()		w: (0)
  0()		w: (0)
  quot(x1,x2)		w: (0)
  #minus(x1,x2)		w: (0)
  #quot(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 2, DPs: 2
	SCC { #1 }
Sum... succeeded.
  le(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  #le(x1,x2)		w: (0)
  minus(x1,x2)		w: (0)
  false()		w: (0)
  true()		w: (0)
  0()		w: (0)
  quot(x1,x2)		w: (0)
  #minus(x1,x2)		w: (x2)
  #quot(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  le(x1,x2)		w: (0, 0)
  s(x1)		w: (max{0, 3 + x1_1}, -3 + x1_2)
  #le(x1,x2)		w: (0, 0)
  minus(x1,x2)		w: (max{0, 1 + x2_2 + x1_1}, 0)
  false()		w: (0, 0)
  true()		w: (0, 0)
  0()		w: (1, -1)
  quot(x1,x2)		w: (0, 0)
  #minus(x1,x2)		w: (0, 0)
  #quot(x1,x2)		w: (max{0, 1 + x1_1}, -21237 + x2_2)
    USABLE RULES: { 1 2 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0