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


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NO
Input TRS:
    1: app(app(iterate(),f),x) -> app(app(cons(),x),app(app(iterate(),f),app(f,x)))
Number of strict rules: 1
Direct poly ... failed.
Freezing app
1: app❆2_iterate(f,x) -> app❆2_cons(x,app❆2_iterate(f,app(f,x)))
2: app(cons(),_1) ->= app❆1_cons(_1)
3: app(app❆1_cons(_1),_2) ->= app❆2_cons(_1,_2)
4: app(iterate(),_1) ->= app❆1_iterate(_1)
5: app(app❆1_iterate(_1),_2) ->= app❆2_iterate(_1,_2)
Number of strict rules: 1
Direct poly ... failed.
Dependency Pairs:
   #1: #app(app❆1_iterate(_1),_2) ->? #app❆2_iterate(_1,_2)
   #2: #app❆2_iterate(f,x) -> #app❆2_iterate(f,app(f,x))
   #3: #app❆2_iterate(f,x) -> #app(f,x)
Number of SCCs: 1, DPs: 3
	SCC { #1..3 }
Sum... succeeded.
  app❆2_iterate(x1,x2)		w: (2 + x2 + x1)
  app❆1_iterate(x1)		w: (2 + x1)
  #app(x1,x2)		w: (x1)
  cons()		w: (1)
  app❆2_cons(x1,x2)		w: (2 + x2 + x1)
  app❆1_cons(x1)		w: (2 + x1)
  #app❆2_iterate(x1,x2)		w: (1 + x1)
  iterate()		w: (1)
  app(x1,x2)		w: (1)
    USABLE RULES: { }
    Removed DPs: #1 #3
Number of SCCs: 1, DPs: 1
	SCC { #2 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  found.
  #app❆2_iterate(f_{1},x)	-#2->
  #app❆2_iterate(f_{1},app(f_{1},x))	--->*
  #app❆2_iterate(f_{1},app(f_{1},x))
  Looping with: [ f_{1} := f_{1}; x := app(f_{1},x); ]