/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: not(x) -> if(x,false(),true())
    2: and(x,y) -> if(x,y,false())
    3: or(x,y) -> if(x,true(),y)
    4: implies(x,y) -> if(x,y,true())
    5: =(x,x) -> true()
    6: =(x,y) -> if(x,y,not(y))
    7: if(true(),x,y) -> x
    8: if(false(),x,y) -> y
    9: if(x,x,if(x,false(),true())) -> true()
    10: =(x,y) -> if(x,y,if(y,false(),true()))
Number of strict rules: 10
Direct POLO(bPol) ... removes: 4 1 3 5 10 6 2
      and	w: 2 * x1 + 2 * x2 + 1
      false	w: 0
      true	w: 0
      if	w: x1 + x2 + x3
      = 	w: x1 + 2 * x2 + 3
      or	w: x1 + 2 * x2 + 1
      implies	w: 2 * x1 + x2 + 2
      not	w: x1 + 1
Number of strict rules: 3
Direct POLO(bPol) ... removes: 8 7 9
      and	w: 2 * x1 + 2 * x2 + 1
      false	w: 0
      true	w: 0
      if	w: x1 + x2 + 2 * x3 + 1
      = 	w: x1 + 2 * x2 + 6
      or	w: x1 + 2 * x2 + 1
      implies	w: 2 * x1 + x2 + 2
      not	w: x1 + 2
Number of strict rules: 0