/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: a(f(),a(f(),x)) -> a(x,x)
    2: a(h(),x) -> a(f(),a(g(),a(f(),x)))
Number of strict rules: 2
Direct poly ... failed.
Freezing a
1: a❆1_f(a❆1_f(x)) -> a(x,x)
2: a❆1_h(x) -> a❆1_f(a❆1_g(a❆1_f(x)))
3: a(h(),_1) ->= a❆1_h(_1)
4: a(g(),_1) ->= a❆1_g(_1)
5: a(f(),_1) ->= a❆1_f(_1)
Number of strict rules: 2
Direct poly ... failed.
Dependency Pairs:
   #1: #a❆1_h(x) -> #a❆1_f(a❆1_g(a❆1_f(x)))
   #2: #a❆1_h(x) -> #a❆1_f(x)
   #3: #a(f(),_1) ->? #a❆1_f(_1)
   #4: #a(h(),_1) ->? #a❆1_h(_1)
   #5: #a❆1_f(a❆1_f(x)) -> #a(x,x)
Number of SCCs: 1, DPs: 4
	SCC { #2..5 }
Sum... succeeded.
  a(x1,x2)		w: (0)
  h()		w: (2)
  a❆1_f(x1)		w: (3 + x1)
  a❆1_g(x1)		w: (0)
  f()		w: (1)
  a❆1_h(x1)		w: (0)
  #a(x1,x2)		w: (2 + x2)
  #a❆1_f(x1)		w: (x1)
  g()		w: (0)
  #a❆1_h(x1)		w: (1 + x1)
    USABLE RULES: { }
    Removed DPs: #2..5
Number of SCCs: 0, DPs: 0