/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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MAYBE
Input TRS:
    1: numbers() -> d(0())
    2: d(x) -> if(le(x,nr()),x)
    3: if(true(),x) -> cons(x,d(s(x)))
    4: if(false(),x) -> nil()
    5: le(0(),y) -> true()
    6: le(s(x),0()) -> false()
    7: le(s(x),s(y)) -> le(x,y)
    8: nr() -> ack(s(s(s(s(s(s(0())))))),0())
    9: ack(0(),x) -> s(x)
    10: ack(s(x),0()) -> ack(x,s(0()))
    11: ack(s(x),s(y)) -> ack(x,ack(s(x),y))
Number of strict rules: 11
Direct poly ... failed.
Freezing ack
1: numbers() -> d(0())
2: d(x) -> if(le(x,nr()),x)
3: if(true(),x) -> cons(x,d(s(x)))
4: if(false(),x) -> nil()
5: le(0(),y) -> true()
6: le(s(x),0()) -> false()
7: le(s(x),s(y)) -> le(x,y)
8: nr() -> ack❆1_s(s(s(s(s(s(0()))))),0())
9: ack❆1_0(x) -> s(x)
10: ack❆1_s(x,0()) -> ack(x,s(0()))
11: ack❆1_s(x,s(y)) -> ack(x,ack❆1_s(x,y))
12: ack(0(),_1) ->= ack❆1_0(_1)
13: ack(s(_1),_2) ->= ack❆1_s(_1,_2)
Number of strict rules: 11
Direct poly ... failed.
Dependency Pairs:
   #1: #d(x) -> #if(le(x,nr()),x)
   #2: #d(x) -> #le(x,nr())
   #3: #d(x) -> #nr()
   #4: #ack(s(_1),_2) ->? #ack❆1_s(_1,_2)
   #5: #ack❆1_s(x,s(y)) -> #ack(x,ack❆1_s(x,y))
   #6: #ack❆1_s(x,s(y)) -> #ack❆1_s(x,y)
   #7: #ack(0(),_1) ->? #ack❆1_0(_1)
   #8: #le(s(x),s(y)) -> #le(x,y)
   #9: #ack❆1_s(x,0()) -> #ack(x,s(0()))
   #10: #if(true(),x) -> #d(s(x))
   #11: #numbers() -> #d(0())
   #12: #nr() -> #ack❆1_s(s(s(s(s(s(0()))))),0())
Number of SCCs: 3, DPs: 7
	SCC { #8 }
Sum... succeeded.
  le(x1,x2)		w: (0)
  d(x1)		w: (0)
  s(x1)		w: (1 + x1)
  #le(x1,x2)		w: (x2 + x1)
  ack(x1,x2)		w: (0)
  false()		w: (0)
  #ack❆1_0(x1)		w: (0)
  #numbers()		w: (0)
  true()		w: (0)
  0()		w: (0)
  if(x1,x2)		w: (0)
  nr()		w: (0)
  nil()		w: (0)
  #d(x1)		w: (0)
  #nr()		w: (0)
  ack❆1_0(x1)		w: (0)
  #ack(x1,x2)		w: (0)
  cons(x1,x2)		w: (0)
  #if(x1,x2)		w: (0)
  ack❆1_s(x1,x2)		w: (0)
  #ack❆1_s(x1,x2)		w: (0)
  numbers()		w: (0)
    USABLE RULES: { }
    Removed DPs: #8
Number of SCCs: 2, DPs: 6
	SCC { #1 #10 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.