/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: not(x) -> xor(x,true())
    2: or(x,y) -> xor(and(x,y),xor(x,y))
    3: implies(x,y) -> xor(and(x,y),xor(x,true()))
    4: and(x,true()) -> x
    5: and(x,false()) -> false()
    6: and(x,x) -> x
    7: xor(x,false()) -> x
    8: xor(x,x) -> false()
    9: and(xor(x,y),z) -> xor(and(x,z),and(y,z))
Number of strict rules: 9
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #or(x,y) -> #xor(and(x,y),xor(x,y))
   #2: #or(x,y) -> #and(x,y)
   #3: #or(x,y) -> #xor(x,y)
   #4: #and(xor(x,y),z) -> #xor(and(x,z),and(y,z))
   #5: #and(xor(x,y),z) -> #and(x,z)
   #6: #and(xor(x,y),z) -> #and(y,z)
   #7: #implies(x,y) -> #xor(and(x,y),xor(x,true()))
   #8: #implies(x,y) -> #and(x,y)
   #9: #implies(x,y) -> #xor(x,true())
   #10: #not(x) -> #xor(x,true())
Number of SCCs: 1, DPs: 2
  SCC { #5 #6 }
POLO(Sum)... succeeded.
      and	w: 0
      false	w: 0
      true	w: 0
      #not	w: 0
      #implies	w: 0
      or	w: 0
      implies	w: 0
      #xor	w: 0
      #or	w: 0
      xor	w: x1 + x2 + 1
      #and	w: x1
      not	w: 0
    USABLE RULES: { }
    Removed DPs: #5 #6
Number of SCCs: 0, DPs: 0