/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: f(a(),f(f(a(),a()),x)) -> f(f(a(),a()),f(a(),f(a(),x)))
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying f
1: f^1_a(f(f^1_a(a()),x)) -> f(f^1_a(a()),f^1_a(f^1_a(x)))
2: f(a(),_1) ->= f^1_a(_1)
Number of strict rules: 1
Direct POLO(bPol) ... removes: 2
      a 	w: 1
      f 	w: 2 * x1 + x2
      f^1_a	w: x1
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #f^1_a(f(f^1_a(a()),x)) -> #f^1_a(f^1_a(x))
   #2: #f^1_a(f(f^1_a(a()),x)) -> #f^1_a(x)
Number of SCCs: 1, DPs: 2
  SCC { #1 #2 }
POLO(Sum)... succeeded.
      a 	w: 1
      #f^1_a	w: x1
      f 	w: x2 + 1
      f^1_a	w: x1
    USABLE RULES: { 1 }
    Removed DPs: #1 #2
Number of SCCs: 0, DPs: 0