/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(j(x,y),y) -> g(f(x,k(y)))
    2: f(x,h1(y,z)) -> h2(0(),x,h1(y,z))
    3: g(h2(x,y,h1(z,u))) -> h2(s(x),y,h1(z,u))
    4: h2(x,j(y,h1(z,u)),h1(z,u)) -> h2(s(x),y,h1(s(z),u))
    5: i(f(x,h(y))) -> y
    6: i(h2(s(x),y,h1(x,z))) -> z
    7: k(h(x)) -> h1(0(),x)
    8: k(h1(x,y)) -> h1(s(x),y)
Number of strict rules: 8
Direct POLO(bPol) ... removes: 4 8 1 3 5 7 6 2
      h 	w: 2 * x1 + 1
      s 	w: x1 + 1
      k 	w: x1 + 3
      f 	w: 2 * x1 + 2 * x2 + 4
      0 	w: 1
      j 	w: 2 * x1 + x2 + 10
      h1	w: 2 * x1 + 2 * x2 + 1
      i 	w: 2 * x1
      h2	w: 2 * x1 + x2 + 2 * x3
      g 	w: 2 * x1 + 2
Number of strict rules: 0