/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 poly ... removes: 4 8 1 3 5 10 7 9 6 2
  and(x1,x2)		w: (283 + x2 + x1)
  false()		w: (1)
  true()		w: (1)
  if(x1,x2,x3)		w: (281 + x3 + x2 + x1)
  =(x1,x2)		w: (567 + 2 * x2 + x1)
  or(x1,x2)		w: (283 + x2 + x1)
  implies(x1,x2)		w: (283 + x2 + x1)
  not(x1)		w: (284 + x1)
Number of strict rules: 0