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


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MAYBE
Input TRS:
    1: a(0(),b(0(),x)) -> b(0(),a(0(),x))
    2: a(0(),x) -> b(0(),b(0(),x))
    3: a(0(),a(1(),a(x,y))) -> a(1(),a(0(),a(x,y)))
    4: b(0(),a(1(),a(x,y))) -> b(1(),a(0(),a(x,y)))
    5: a(0(),a(x,y)) -> a(1(),a(1(),a(x,y)))
Number of strict rules: 5
Direct poly ... failed.
Freezing b
1: a(0(),b❆1_0(x)) -> b❆1_0(a(0(),x))
2: a(0(),x) -> b❆1_0(b❆1_0(x))
3: a(0(),a(1(),a(x,y))) -> a(1(),a(0(),a(x,y)))
4: b❆1_0(a(1(),a(x,y))) -> b❆1_1(a(0(),a(x,y)))
5: a(0(),a(x,y)) -> a(1(),a(1(),a(x,y)))
6: b(1(),_1) ->= b❆1_1(_1)
7: b(0(),_1) ->= b❆1_0(_1)
Number of strict rules: 5
Direct poly ... removes: 7 6
  a(x1,x2)		w: (28101 + x2 + x1)
  1()		w: (1143)
  b(x1,x2)		w: (x2 + 2 * x1)
  b❆1_0(x1)		w: (29244 + x1)
  0()		w: (30387)
  b❆1_1(x1)		w: (x1)
Number of strict rules: 5
Direct poly ... failed.
Dependency Pairs:
   #1: #a(0(),x) -> #b❆1_0(b❆1_0(x))
   #2: #a(0(),x) -> #b❆1_0(x)
   #3: #a(0(),a(x,y)) -> #a(1(),a(1(),a(x,y)))
   #4: #a(0(),a(x,y)) -> #a(1(),a(x,y))
   #5: #a(0(),a(1(),a(x,y))) -> #a(1(),a(0(),a(x,y)))
   #6: #a(0(),a(1(),a(x,y))) -> #a(0(),a(x,y))
   #7: #a(0(),b❆1_0(x)) -> #b❆1_0(a(0(),x))
   #8: #a(0(),b❆1_0(x)) -> #a(0(),x)
   #9: #b❆1_0(a(1(),a(x,y))) -> #a(0(),a(x,y))
Number of SCCs: 1, DPs: 5
	SCC { #2 #6..9 }
Sum... succeeded.
  a(x1,x2)		w: (41 + x2 + x1)
  1()		w: (1)
  b(x1,x2)		w: (0)
  b❆1_0(x1)		w: (42 + x1)
  0()		w: (43)
  #b❆1_0(x1)		w: (1 + x1)
  b❆1_1(x1)		w: (x1)
  #a(x1,x2)		w: (x2 + x1)
    USABLE RULES: { 1..5 }
    Removed DPs: #2 #6 #8
Number of SCCs: 1, DPs: 2
	SCC { #7 #9 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.