/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,x) -> 0()
    2: minus(s(x),s(y)) -> minus(x,y)
    3: minus(0(),x) -> 0()
    4: minus(x,0()) -> x
    5: div(s(x),s(y)) -> s(div(minus(x,y),s(y)))
    6: div(0(),s(y)) -> 0()
    7: f(x,0(),b) -> x
    8: f(x,s(y),b) -> div(f(x,minus(s(y),s(0())),b),b)
Number of strict rules: 8
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #minus(s(x),s(y)) -> #minus(x,y)
   #2: #div(s(x),s(y)) -> #div(minus(x,y),s(y))
   #3: #div(s(x),s(y)) -> #minus(x,y)
   #4: #f(x,s(y),b) -> #div(f(x,minus(s(y),s(0())),b),b)
   #5: #f(x,s(y),b) -> #f(x,minus(s(y),s(0())),b)
   #6: #f(x,s(y),b) -> #minus(s(y),s(0()))
Number of SCCs: 3, DPs: 3
	SCC { #1 }
Sum... succeeded.
  #div(x1,x2)		w: (0)
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (0)
  div(x1,x2)		w: (0)
  f(x1,x2,x3)		w: (0)
  0()		w: (0)
  #f(x1,x2,x3)		w: (0)
  #minus(x1,x2)		w: (x2 + x1)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 2
	SCC { #2 }
Sum... succeeded.
  #div(x1,x2)		w: (8855 + x1)
  s(x1)		w: (2439 + x1)
  minus(x1,x2)		w: (1 + x1)
  div(x1,x2)		w: (0)
  f(x1,x2,x3)		w: (0)
  0()		w: (1)
  #f(x1,x2,x3)		w: (0)
  #minus(x1,x2)		w: (0)
    USABLE RULES: { 1..4 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 1
	SCC { #5 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  #div(x1,x2)		w: (0, 0)
  s(x1)		w: (max{0, 29245 + x1_1}, -29245 + x1_2)
  minus(x1,x2)		w: (max{0, 2 + x2_2 + x1_1}, 0)
  div(x1,x2)		w: (0, 0)
  f(x1,x2,x3)		w: (0, 0)
  0()		w: (0, -1)
  #f(x1,x2,x3)		w: (max{0, 29243 + x2_1}, 0)
  #minus(x1,x2)		w: (0, 0)
    USABLE RULES: { 1..4 }
    Removed DPs: #5
Number of SCCs: 0, DPs: 0