/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/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 POLO(bPol) ... failed.
Uncurrying 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 POLO(bPol) ... 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 }
POLO(Sum)... succeeded.
      a 	w: 0
      h 	w: 3
      a^1_h	w: 0
      a^1_f	w: x1 + 3
      #a^1_h	w: x1 + 1
      a^1_g	w: 0
      f 	w: 2
      #a 	w: x2 + 2
      g 	w: 0
      #a^1_f	w: x1
    USABLE RULES: { }
    Removed DPs: #2..5
Number of SCCs: 0, DPs: 0