/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(a(),f(b(),x)) -> f(b(),f(a(),x))
    2: f(b(),f(c(),x)) -> f(c(),f(b(),x))
    3: f(c(),f(a(),x)) -> f(a(),f(c(),x))
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying f
1: f^1_a(f^1_b(x)) -> f^1_b(f^1_a(x))
2: f^1_b(f^1_c(x)) -> f^1_c(f^1_b(x))
3: f^1_c(f^1_a(x)) -> f^1_a(f^1_c(x))
4: f(a(),_1) ->= f^1_a(_1)
5: f(c(),_1) ->= f^1_c(_1)
6: f(b(),_1) ->= f^1_b(_1)
Number of strict rules: 3
Direct POLO(bPol) ... removes: 4 5 6 2
      a 	w: 1
      b 	w: 1
      f^1_b	w: 2 * x1 + 2
      c 	w: 1
      f 	w: 2 * x1 + 2 * x2 + 1
      f^1_a	w: x1
      f^1_c	w: x1 + 2
Number of strict rules: 2
Direct POLO(bPol) ... removes: 3
      a 	w: 1
      b 	w: 1
      f^1_b	w: x1 + 2
      c 	w: 1
      f 	w: 2 * x1 + 2 * x2 + 1
      f^1_a	w: x1 + 1
      f^1_c	w: 2 * x1 + 2
Number of strict rules: 1
Direct POLO(bPol) ... removes: 1
      a 	w: 1
      b 	w: 1
      f^1_b	w: x1 + 2
      c 	w: 1
      f 	w: 2 * x1 + 2 * x2 + 1
      f^1_a	w: 2 * x1 + 2
      f^1_c	w: 2 * x1 + 2
Number of strict rules: 0