/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: p(0()) -> 0()
    2: p(s(x)) -> x
    3: minus(x,0()) -> x
    4: minus(s(x),s(y)) -> minus(x,y)
    5: minus(x,s(y)) -> p(minus(x,y))
    6: div(0(),s(y)) -> 0()
    7: div(s(x),s(y)) -> s(div(minus(s(x),s(y)),s(y)))
    8: log(s(0()),s(s(y))) -> 0()
    9: log(s(s(x)),s(s(y))) -> s(log(div(minus(x,y),s(s(y))),s(s(y))))
Number of strict rules: 9
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #log(s(s(x)),s(s(y))) -> #log(div(minus(x,y),s(s(y))),s(s(y)))
   #2: #log(s(s(x)),s(s(y))) -> #div(minus(x,y),s(s(y)))
   #3: #log(s(s(x)),s(s(y))) -> #minus(x,y)
   #4: #div(s(x),s(y)) -> #div(minus(s(x),s(y)),s(y))
   #5: #div(s(x),s(y)) -> #minus(s(x),s(y))
   #6: #minus(x,s(y)) -> #p(minus(x,y))
   #7: #minus(x,s(y)) -> #minus(x,y)
   #8: #minus(s(x),s(y)) -> #minus(x,y)
Number of SCCs: 3, DPs: 4
	SCC { #4 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  #div(x1,x2)		w: (max{0, 1 + x2_2 + x1_1}, -15921 + x2_2)
  s(x1)		w: (max{0, 3 + x1_1}, -3)
  minus(x1,x2)		w: (max{0, 1 + x2_2 + x1_1}, 0)
  div(x1,x2)		w: (0, 0)
  #log(x1,x2)		w: (0, 0)
  #p(x1)		w: (0, 0)
  p(x1)		w: (max{0, -3 + x1_1}, 0)
  log(x1,x2)		w: (0, 0)
  0()		w: (0, -1)
  #minus(x1,x2)		w: (0, 0)
    USABLE RULES: { 1..5 }
    Removed DPs: #4
Number of SCCs: 2, DPs: 3
	SCC { #7 #8 }
Sum... succeeded.
  #div(x1,x2)		w: (1)
  s(x1)		w: (1 + x1)
  minus(x1,x2)		w: (1 + x2)
  div(x1,x2)		w: (0)
  #log(x1,x2)		w: (0)
  #p(x1)		w: (0)
  p(x1)		w: (2 + x1)
  log(x1,x2)		w: (0)
  0()		w: (2438)
  #minus(x1,x2)		w: (x2)
    USABLE RULES: { }
    Removed DPs: #7 #8
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... succeeded.
  #div(x1,x2)		w: (0, -15921)
  s(x1)		w: (max{0, 22051 + x1_1}, -22051)
  minus(x1,x2)		w: (max{0, x2_2 + x1_1}, 0)
  div(x1,x2)		w: (max{0, 1 + x1_1}, x1_2)
  #log(x1,x2)		w: (max{0, 1 + x2_1 + x1_1}, 0)
  #p(x1)		w: (0, 0)
  p(x1)		w: (max{0, -22051 + x1_1}, 0)
  log(x1,x2)		w: (0, 0)
  0()		w: (0, 0)
  #minus(x1,x2)		w: (0, 0)
    USABLE RULES: { 1..7 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0