/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: +(x,0()) -> x
    2: +(x,s(y)) -> s(+(x,y))
    3: +(0(),y) -> y
    4: +(s(x),y) -> s(+(x,y))
    5: +(x,+(y,z)) -> +(+(x,y),z)
    6: f(g(f(x))) -> f(h(s(0()),x))
    7: f(g(h(x,y))) -> f(h(s(x),y))
    8: f(h(x,h(y,z))) -> f(h(+(x,y),z))
Number of strict rules: 8
Direct POLO(bPol) ... removes: 8 1 3 5 7 6 2
      h 	w: 2 * x1 + 2 * x2 + 2
      s 	w: x1 + 2
      f 	w: 2 * x1 + 1
      0 	w: 1
      + 	w: x1 + 2 * x2 + 1
      g 	w: 2 * x1 + 7
Number of strict rules: 1
Direct POLO(bPol) ... removes: 4
      h 	w: 2 * x1 + 2 * x2 + 2
      s 	w: x1 + 1
      f 	w: 2 * x1 + 12
      0 	w: 10
      + 	w: 2 * x1 + 2 * x2 + 1
      g 	w: 2 * x1
Number of strict rules: 0