/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


--------------------------------------------------------------------------------


YES
Input TRS:
    1: a__f(X) -> a__if(mark(X),c(),f(true()))
    2: a__if(true(),X,Y) -> mark(X)
    3: a__if(false(),X,Y) -> mark(Y)
    4: mark(f(X)) -> a__f(mark(X))
    5: mark(if(X1,X2,X3)) -> a__if(mark(X1),mark(X2),X3)
    6: mark(c()) -> c()
    7: mark(true()) -> true()
    8: mark(false()) -> false()
    9: a__f(X) -> f(X)
    10: a__if(X1,X2,X3) -> if(X1,X2,X3)
Number of strict rules: 10
Direct POLO(bPol) ... removes: 3
      a__f	w: x1 + 1
      false	w: 1
      c 	w: 0
      true	w: 0
      f 	w: x1 + 1
      if	w: x1 + x2 + x3
      mark	w: x1
      a__if	w: x1 + x2 + x3
Number of strict rules: 9
Direct POLO(bPol) ... removes: 4 8
      a__f	w: 2 * x1 + 1
      false	w: 1
      c 	w: 0
      true	w: 0
      f 	w: 2 * x1 + 1
      if	w: x1 + 2 * x2 + x3
      mark	w: 2 * x1
      a__if	w: x1 + 2 * x2 + x3
Number of strict rules: 7
Direct POLO(bPol) ... removes: 1 9
      a__f	w: 2 * x1 + 2
      false	w: 1
      c 	w: 0
      true	w: 0
      f 	w: 2 * x1 + 1
      if	w: x1 + 2 * x2 + x3
      mark	w: 2 * x1
      a__if	w: x1 + 2 * x2 + x3
Number of strict rules: 5
Direct POLO(bPol) ... removes: 2
      a__f	w: 2 * x1 + 1
      false	w: 1
      c 	w: 0
      true	w: 0
      f 	w: 2 * x1 + 1
      if	w: x1 + 2 * x2 + x3 + 1
      mark	w: x1
      a__if	w: x1 + 2 * x2 + x3 + 1
Number of strict rules: 4
Direct POLO(bPol) ... removes: 7
      a__f	w: 2 * x1
      false	w: 0
      c 	w: 0
      true	w: 1
      f 	w: x1
      if	w: x1 + 2 * x2 + x3
      mark	w: 2 * x1
      a__if	w: x1 + 2 * x2 + x3
Number of strict rules: 3
Direct POLO(bPol) ... removes: 5 10
      a__f	w: 2 * x1
      false	w: 0
      c 	w: 0
      true	w: 1
      f 	w: x1
      if	w: x1 + 2 * x2 + x3 + 2
      mark	w: 2 * x1
      a__if	w: x1 + 2 * x2 + x3 + 3
Number of strict rules: 1
Direct POLO(bPol) ... removes: 6
      a__f	w: 2 * x1
      false	w: 0
      c 	w: 1
      true	w: 1
      f 	w: x1
      if	w: x1 + 2 * x2 + x3 + 2
      mark	w: 2 * x1
      a__if	w: x1 + 2 * x2 + x3 + 3
Number of strict rules: 0