/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: ap(ap(ff(),x),x) -> ap(ap(x,ap(ff(),x)),ap(ap(cons(),x),nil()))
Number of strict rules: 1
Direct poly ... failed.
Freezing ap
1: ap❆2_ff(x,x) -> ap(ap(x,ap❆1_ff(x)),ap❆2_cons(x,nil()))
2: ap(cons(),_1) ->= ap❆1_cons(_1)
3: ap(ap❆1_cons(_1),_2) ->= ap❆2_cons(_1,_2)
4: ap(ff(),_1) ->= ap❆1_ff(_1)
5: ap(ap❆1_ff(_1),_2) ->= ap❆2_ff(_1,_2)
Number of strict rules: 1
Direct poly ... failed.
Dependency Pairs:
   #1: #ap(ap❆1_ff(_1),_2) ->? #ap❆2_ff(_1,_2)
   #2: #ap❆2_ff(x,x) -> #ap(ap(x,ap❆1_ff(x)),ap❆2_cons(x,nil()))
   #3: #ap❆2_ff(x,x) -> #ap(x,ap❆1_ff(x))
Number of SCCs: 1, DPs: 3
	SCC { #1..3 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  #ap❆2_ff(x1,x2)		w: (1264 + x2_1 + x1_2, 30201 + x2_1 + x1_2)
  ap(x1,x2)		w: (0, x2_2 + x1_1)
  ff()		w: (3024, 3024)
  ap❆1_cons(x1)		w: (0, 1)
  ap❆1_ff(x1)		w: (0, 1264 + x1_2)
  nil()		w: (1, 20534)
  ap❆2_cons(x1,x2)		w: (0, 0)
  #ap(x1,x2)		w: (x2_1 + x1_2, 28937 + x2_1 + x1_2)
  cons()		w: (21395, 21394)
  ap❆2_ff(x1,x2)		w: (0, x2_2)
    USABLE RULES: { 1..5 }
    Removed DPs: #3
Number of SCCs: 1, DPs: 2
	SCC { #1 #2 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... succeeded.
  #ap❆2_ff(x1,x2)		w: (29515 + x2_2, 59717)
  ap(x1,x2)		w: (26953 + x1_2, 29517)
  ff()		w: (2562, 2563)
  ap❆1_cons(x1)		w: (2, 1)
  ap❆1_ff(x1)		w: (29516, 29517)
  nil()		w: (1, 1)
  ap❆2_cons(x1,x2)		w: (2, 2561)
  #ap(x1,x2)		w: (x2_2 + x1_1, 30200 + x1_2)
  cons()		w: (2, 1)
  ap❆2_ff(x1,x2)		w: (56470, 29517)
    USABLE RULES: { 1..5 }
    Removed DPs: #1 #2
Number of SCCs: 0, DPs: 0