/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: g(c(x,s(y))) -> g(c(s(x),y))
    2: f(c(s(x),y)) -> f(c(x,s(y)))
    3: f(f(x)) -> f(d(f(x)))
    4: f(x) -> x
Number of strict rules: 4
Direct POLO(bPol) ... removes: 4
      d 	w: x1
      s 	w: x1 + 1
      c 	w: x1 + x2
      f 	w: x1 + 1
      g 	w: x1
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying g
1: g^1_c(x,s(y)) -> g^1_c(s(x),y)
2: f(c(s(x),y)) -> f(c(x,s(y)))
3: f(f(x)) -> f(d(f(x)))
5: g(c(_1,_2)) ->= g^1_c(_1,_2)
Number of strict rules: 3
Direct POLO(bPol) ... removes: 1 5 2
      d 	w: x1
      s 	w: x1 + 1
      g^1_c	w: x1 + 2 * x2
      c 	w: 2 * x1 + x2 + 1
      f 	w: x1 + 1
      g 	w: 2 * x1
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #f(f(x)) -> #f(d(f(x)))
Number of SCCs: 0, DPs: 0