5.19/4.93	MAYBE
5.19/4.93	Input TRS:
5.19/4.93	    1: RAo(R()) -> R()
5.19/4.93	    2: RAn(R()) -> R()
5.19/4.93	    3: WAo(W()) -> W()
5.19/4.93	    4: WAn(W()) -> W()
5.19/4.93	    5: Rw() ->= RIn(Rw())
5.19/4.93	    6: Ww() ->= WIn(Ww())
5.19/4.93	    7: top(ok(system(r,W(),RIo(x),Ww(),p))) ->= top(check(system(RAo(r),W(),x,Ww(),p)))
5.19/4.93	    8: top(ok(system(r,W(),RIn(x),Ww(),p))) ->= top(check(system(RAn(r),W(),x,Ww(),p)))
5.19/4.93	    9: top(ok(system(R(),W(),Rw(),WIn(y),p))) ->= top(check(system(R(),WAn(W()),Rw(),y,p)))
5.19/4.93	    10: top(ok(system(R(),W(),Rw(),WIo(y),p))) ->= top(check(system(R(),WAo(W()),Rw(),y,p)))
5.19/4.93	    11: top(ok(system(r,W(),RIo(x),y,PR()))) ->= top(check(system(RAo(r),W(),x,y,PW())))
5.19/4.93	    12: top(ok(system(r,W(),RIn(x),y,PR()))) ->= top(check(system(RAn(r),W(),x,y,PW())))
5.19/4.93	    13: top(ok(system(R(),W(),x,WIo(y),PW()))) ->= top(check(system(R(),WAo(W()),x,y,PR())))
5.19/4.93	    14: top(ok(system(R(),W(),x,WIn(y),PW()))) ->= top(check(system(R(),WAn(W()),x,y,PR())))
5.19/4.93	    15: check(RIo(x)) ->= ok(RIo(x))
5.19/4.93	    16: check(RAo(x)) ->= RAo(check(x))
5.19/4.93	    17: check(RAn(x)) ->= RAn(check(x))
5.19/4.93	    18: check(WAo(x)) ->= WAo(check(x))
5.19/4.93	    19: check(WAn(x)) ->= WAn(check(x))
5.19/4.93	    20: check(RIo(x)) ->= RIo(check(x))
5.19/4.93	    21: check(RIn(x)) ->= RIn(check(x))
5.19/4.93	    22: check(WIo(x)) ->= WIo(check(x))
5.19/4.93	    23: check(WIn(x)) ->= WIn(check(x))
5.19/4.93	    24: check(system(v1,v2,v3,v4,v5)) ->= system(check(v1),v2,v3,v4,v5)
5.19/4.93	    25: check(system(v1,v2,v3,v4,v5)) ->= system(v1,check(v2),v3,v4,v5)
5.19/4.93	    26: check(system(v1,v2,v3,v4,v5)) ->= system(v1,v2,check(v3),v4,v5)
5.19/4.93	    27: check(system(v1,v2,v3,v4,v5)) ->= system(v1,v2,v3,check(v4),v5)
5.19/4.93	    28: check(system(v1,v2,v3,v4,v5)) ->= system(v1,v2,v3,v4,check(v5))
5.19/4.93	    29: RAo(ok(x)) ->= ok(RAo(x))
5.19/4.93	    30: RAn(ok(x)) ->= ok(RAn(x))
5.19/4.93	    31: WAo(ok(x)) ->= ok(WAo(x))
5.19/4.93	    32: WAn(ok(x)) ->= ok(WAn(x))
5.19/4.93	    33: RIo(ok(x)) ->= ok(RIo(x))
5.19/4.93	    34: RIn(ok(x)) ->= ok(RIn(x))
5.19/4.93	    35: WIo(ok(x)) ->= ok(WIo(x))
5.19/4.93	    36: WIn(ok(x)) ->= ok(WIn(x))
5.19/4.93	    37: system(ok(v1),v2,v3,v4,v5) ->= ok(system(v1,v2,v3,v4,v5))
5.19/4.93	    38: system(v1,ok(v2),v3,v4,v5) ->= ok(system(v1,v2,v3,v4,v5))
5.19/4.93	    39: system(v1,v2,ok(v3),v4,v5) ->= ok(system(v1,v2,v3,v4,v5))
5.19/4.93	    40: system(v1,v2,v3,ok(v4),v5) ->= ok(system(v1,v2,v3,v4,v5))
5.19/4.93	    41: system(v1,v2,v3,v4,ok(v5)) ->= ok(system(v1,v2,v3,v4,v5))
5.19/4.93	Number of strict rules: 4
5.19/4.93	Direct POLO(bPol) ... removes: 1 3 10 7 11 13
5.19/4.93	      RAo	w: x1 + 1
5.19/4.93	      RIo	w: x1 + 4
5.19/4.93	      W 	w: 1
5.19/4.93	      WIn	w: x1
5.19/4.93	      top	w: x1
5.19/4.93	      PR	w: 1
5.19/4.93	      WAo	w: x1 + 1
5.19/4.93	      system	w: x1 + x2 + x3 + x4 + x5 + 1
5.19/4.93	      Ww	w: 1
5.19/4.93	      WIo	w: x1 + 2
5.19/4.93	      check	w: x1 + 2
5.19/4.93	      ok	w: x1 + 2
5.19/4.93	      Rw	w: 1
5.19/4.93	      R 	w: 1
5.19/4.93	      WAn	w: x1
5.19/4.93	      RIn	w: x1
5.19/4.93	      PW	w: 1
5.19/4.93	      RAn	w: x1
5.19/4.93	Number of strict rules: 2
5.19/4.93	Direct POLO(bPol) ... failed.
5.19/4.93	Uncurrying ... failed.
5.19/4.93	Dependency Pairs:
5.19/4.93	   #1: #top(ok(system(R(),W(),Rw(),WIn(y),p))) ->? #top(check(system(R(),WAn(W()),Rw(),y,p)))
5.19/4.93	   #2: #top(ok(system(R(),W(),Rw(),WIn(y),p))) ->? #check(system(R(),WAn(W()),Rw(),y,p))
5.19/4.93	   #3: #top(ok(system(R(),W(),Rw(),WIn(y),p))) ->? #WAn(W())
5.19/4.93	   #4: #check(system(v1,v2,v3,v4,v5)) ->? #check(v1)
5.19/4.93	   #5: #check(WIn(x)) ->? #check(x)
5.19/4.93	   #6: #top(ok(system(r,W(),RIn(x),y,PR()))) ->? #top(check(system(RAn(r),W(),x,y,PW())))
5.19/4.93	   #7: #top(ok(system(r,W(),RIn(x),y,PR()))) ->? #check(system(RAn(r),W(),x,y,PW()))
5.19/4.93	   #8: #top(ok(system(r,W(),RIn(x),y,PR()))) ->? #RAn(r)
5.19/4.93	   #9: #top(ok(system(R(),W(),x,WIn(y),PW()))) ->? #top(check(system(R(),WAn(W()),x,y,PR())))
5.19/4.93	   #10: #top(ok(system(R(),W(),x,WIn(y),PW()))) ->? #check(system(R(),WAn(W()),x,y,PR()))
5.19/4.93	   #11: #top(ok(system(R(),W(),x,WIn(y),PW()))) ->? #WAn(W())
5.19/4.93	   #12: #RAn(ok(x)) ->? #RAn(x)
5.19/4.93	   #13: #check(system(v1,v2,v3,v4,v5)) ->? #check(v2)
5.19/4.93	   #14: #check(RIo(x)) ->? #check(x)
5.19/4.93	   #15: #check(system(v1,v2,v3,v4,v5)) ->? #check(v5)
5.19/4.93	   #16: #check(WIo(x)) ->? #check(x)
5.19/4.93	   #17: #check(system(v1,v2,v3,v4,v5)) ->? #check(v4)
5.19/4.93	   #18: #check(RAn(x)) ->? #RAn(check(x))
5.19/4.93	   #19: #check(RAn(x)) ->? #check(x)
5.19/4.93	   #20: #check(WAn(x)) ->? #WAn(check(x))
5.19/4.93	   #21: #check(WAn(x)) ->? #check(x)
5.19/4.93	   #22: #WAn(ok(x)) ->? #WAn(x)
5.19/4.93	   #23: #check(system(v1,v2,v3,v4,v5)) ->? #check(v3)
5.19/4.93	   #24: #check(RIn(x)) ->? #check(x)
5.19/4.93	   #25: #check(RAo(x)) ->? #check(x)
5.19/4.93	   #26: #top(ok(system(r,W(),RIn(x),Ww(),p))) ->? #top(check(system(RAn(r),W(),x,Ww(),p)))
5.19/4.93	   #27: #top(ok(system(r,W(),RIn(x),Ww(),p))) ->? #check(system(RAn(r),W(),x,Ww(),p))
5.19/4.93	   #28: #top(ok(system(r,W(),RIn(x),Ww(),p))) ->? #RAn(r)
5.19/4.93	   #29: #check(WAo(x)) ->? #check(x)
5.19/4.93	Number of SCCs: 4, DPs: 19
5.19/4.93	  SCC { #12 }
5.19/4.93	POLO(Sum)... succeeded.
5.19/4.93	      RAo	w: x1 + 1
5.19/4.93	      RIo	w: x1 + 1
5.19/4.93	      W 	w: 1
5.19/4.93	      #RAn	w: x1
5.19/4.93	      WIn	w: x1
5.19/4.93	      top	w: x1
5.19/4.93	      PR	w: 1
5.19/4.93	      #check	w: 0
5.19/4.93	      #top	w: 0
5.19/4.93	      WAo	w: x1 + 1
5.19/4.93	      system	w: x1 + x2 + x3 + x4 + x5 + 1
5.19/4.93	      #WAn	w: 0
5.19/4.93	      Ww	w: 1
5.19/4.93	      WIo	w: x1 + 1
5.19/4.93	      check	w: x1 + 1
5.19/4.93	      ok	w: x1 + 1
5.19/4.93	      Rw	w: 1
5.19/4.93	      R 	w: 1
5.19/4.93	      WAn	w: x1
5.19/4.93	      RIn	w: x1
5.19/4.93	      PW	w: 1
5.19/4.93	      RAn	w: x1
5.19/4.93	    Removed DPs: #12
5.19/4.93	Number of SCCs: 3, DPs: 18
5.19/4.93	  SCC { #22 }
5.19/4.93	POLO(Sum)... succeeded.
5.19/4.93	      RAo	w: x1 + 1
5.19/4.93	      RIo	w: x1 + 1
5.19/4.93	      W 	w: 1
5.19/4.93	      #RAn	w: 0
5.19/4.93	      WIn	w: x1
5.19/4.93	      top	w: x1
5.19/4.93	      PR	w: 1
5.19/4.93	      #check	w: 0
5.19/4.93	      #top	w: 0
5.19/4.93	      WAo	w: x1 + 1
5.19/4.93	      system	w: x1 + x2 + x3 + x4 + x5 + 1
5.19/4.93	      #WAn	w: x1
5.19/4.93	      Ww	w: 1
5.19/4.93	      WIo	w: x1 + 1
5.19/4.93	      check	w: x1 + 1
5.19/4.93	      ok	w: x1 + 1
5.19/4.93	      Rw	w: 1
5.19/4.93	      R 	w: 1
5.19/4.93	      WAn	w: x1
5.19/4.93	      RIn	w: x1
5.19/4.93	      PW	w: 1
5.19/4.93	      RAn	w: x1
5.19/4.93	    Removed DPs: #22
5.19/4.93	Number of SCCs: 2, DPs: 17
5.19/4.93	  SCC { #1 #6 #9 #26 }
5.19/4.93	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
5.19/4.93	Finding a loop...  failed.
5.19/4.93	EOF