/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: f(a(),f(a(),x)) -> f(c(),f(b(),x))
    2: f(b(),f(b(),x)) -> f(a(),f(c(),x))
    3: f(c(),f(c(),x)) -> f(b(),f(a(),x))
Number of strict rules: 3
Direct poly ... failed.
Freezing f
1: f❆1_a(f❆1_a(x)) -> f❆1_c(f❆1_b(x))
2: f❆1_b(f❆1_b(x)) -> f❆1_a(f❆1_c(x))
3: f❆1_c(f❆1_c(x)) -> f❆1_b(f❆1_a(x))
4: f(a(),_1) ->= f❆1_a(_1)
5: f(c(),_1) ->= f❆1_c(_1)
6: f(b(),_1) ->= f❆1_b(_1)
Number of strict rules: 3
Direct poly ... removes: 4 5 6
  a()		w: (1)
  b()		w: (1)
  c()		w: (1)
  f❆1_c(x1)		w: (1 + x1)
  f(x1,x2)		w: (10454 + x2 + 2 * x1)
  f❆1_b(x1)		w: (1 + x1)
  f❆1_a(x1)		w: (1 + x1)
Number of strict rules: 3
Direct poly ... failed.
Dependency Pairs:
   #1: #f❆1_b(f❆1_b(x)) -> #f❆1_a(f❆1_c(x))
   #2: #f❆1_b(f❆1_b(x)) -> #f❆1_c(x)
   #3: #f❆1_c(f❆1_c(x)) -> #f❆1_b(f❆1_a(x))
   #4: #f❆1_c(f❆1_c(x)) -> #f❆1_a(x)
   #5: #f❆1_a(f❆1_a(x)) -> #f❆1_c(f❆1_b(x))
   #6: #f❆1_a(f❆1_a(x)) -> #f❆1_b(x)
Number of SCCs: 1, DPs: 6
	SCC { #1..6 }
Sum... succeeded.
  a()		w: (0)
  b()		w: (0)
  c()		w: (0)
  #f❆1_b(x1)		w: (x1)
  f❆1_c(x1)		w: (7720 + x1)
  f(x1,x2)		w: (0)
  #f❆1_c(x1)		w: (x1)
  #f❆1_a(x1)		w: (x1)
  f❆1_b(x1)		w: (7720 + x1)
  f❆1_a(x1)		w: (7720 + x1)
    USABLE RULES: { 1..3 }
    Removed DPs: #2 #4 #6
Number of SCCs: 1, DPs: 3
	SCC { #1 #3 #5 }
Sum... Max... QLPOpS... NegMaxSum... QWPOpSMaxSum... 2D-Mat... sum_sum_int,sum_neg... heuristic_int,sum_neg... failed.
Finding a loop...  failed.