/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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NO
Input TRS:
    1: app(app(app(if(),true()),x),y) -> x
    2: app(app(app(if(),false()),x),y) -> y
    3: app(app(app(until(),p),f),x) -> app(app(app(if(),app(p,x)),x),app(app(app(until(),p),f),app(f,x)))
Number of strict rules: 3
Direct poly ... failed.
Freezing app
1: app❆3_if(true(),x,y) -> x
2: app❆3_if(false(),x,y) -> y
3: app❆3_until(p,f,x) -> app❆3_if(app(p,x),x,app❆3_until(p,f,app(f,x)))
4: app(if(),_1) ->= app❆1_if(_1)
5: app(app❆1_if(_1),_2) ->= app❆2_if(_1,_2)
6: app(app❆2_if(_1,_2),_3) ->= app❆3_if(_1,_2,_3)
7: app(until(),_1) ->= app❆1_until(_1)
8: app(app❆1_until(_1),_2) ->= app❆2_until(_1,_2)
9: app(app❆2_until(_1,_2),_3) ->= app❆3_until(_1,_2,_3)
Number of strict rules: 3
Direct poly ... failed.
Dependency Pairs:
   #1: #app(app❆2_if(_1,_2),_3) ->? #app❆3_if(_1,_2,_3)
   #2: #app(app❆2_until(_1,_2),_3) ->? #app❆3_until(_1,_2,_3)
   #3: #app❆3_until(p,f,x) -> #app❆3_if(app(p,x),x,app❆3_until(p,f,app(f,x)))
   #4: #app❆3_until(p,f,x) -> #app(p,x)
   #5: #app❆3_until(p,f,x) -> #app❆3_until(p,f,app(f,x))
   #6: #app❆3_until(p,f,x) -> #app(f,x)
Number of SCCs: 1, DPs: 4
	SCC { #2 #4..6 }
Sum... succeeded.
  app❆1_if(x1)		w: (41 + x1)
  #app❆3_if(x1,x2,x3)		w: (0)
  app❆3_until(x1,x2,x3)		w: (121 + x3 + x2 + x1)
  false()		w: (1)
  app❆1_until(x1)		w: (41 + x1)
  app❆2_if(x1,x2)		w: (81)
  #app❆3_until(x1,x2,x3)		w: (1 + x2 + x1)
  true()		w: (1)
  if()		w: (1)
  app❆3_if(x1,x2,x3)		w: (121 + x3 + x2 + x1)
  app❆2_until(x1,x2)		w: (81 + x2 + x1)
  #app(x1,x2)		w: (x1)
  until()		w: (1)
  app(x1,x2)		w: (39 + x1)
    USABLE RULES: { }
    Removed DPs: #2 #4 #6
Number of SCCs: 1, DPs: 1
	SCC { #5 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  found.
  #app❆3_until(p_{1},f_{1},x)	-#5->
  #app❆3_until(p_{1},f_{1},app(f_{1},x))	--->*
  #app❆3_until(p_{1},f_{1},app(f_{1},x))
  Looping with: [ p_{1} := p_{1}; f_{1} := f_{1}; x := app(f_{1},x); ]