/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: f(f(x)) -> f(c(f(x)))
    2: f(f(x)) -> f(d(f(x)))
    3: g(c(x)) -> x
    4: g(d(x)) -> x
    5: g(c(h(0()))) -> g(d(1()))
    6: g(c(1())) -> g(d(h(0())))
    7: g(h(x)) -> g(x)
Number of strict rules: 7
Direct POLO(bPol) ... removes: 4 3 7
      h 	w: 2 * x1 + 1
      1 	w: 3
      d 	w: x1
      c 	w: x1
      f 	w: 2 * x1 + 1
      0 	w: 1
      g 	w: x1 + 1
Number of strict rules: 4
Direct POLO(bPol) ... failed.
Uncurrying g
1: f(f(x)) -> f(c(f(x)))
2: f(f(x)) -> f(d(f(x)))
5: g^1_c(h(0())) -> g^1_d(1())
6: g^1_c(1()) -> g^1_d(h(0()))
8: g(d(_1)) ->= g^1_d(_1)
9: g(c(_1)) ->= g^1_c(_1)
Number of strict rules: 4
Direct POLO(bPol) ... removes: 8 5 9 6
      h 	w: x1
      1 	w: 1
      d 	w: x1
      g^1_c	w: x1 + 1
      c 	w: x1
      f 	w: x1 + 1
      0 	w: 1
      g 	w: x1 + 2
      g^1_d	w: x1
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #f(f(x)) -> #f(d(f(x)))
   #2: #f(f(x)) -> #f(c(f(x)))
Number of SCCs: 0, DPs: 0