0.00/0.10	YES
0.00/0.11	Input TRS:
0.00/0.11	    1: T(ok(sys(x,P(d,b),R(b),y))) -> T(check(sys(x,bot(),R(not(b)),y)))
0.00/0.11	    2: T(ok(sys(S(b,c(d,ds)),bot(),y,z))) ->= T(check(sys(S(b,c(d,ds)),P(d,b),y,z)))
0.00/0.11	    3: T(ok(sys(S(b,c(d,ds)),x,y,F(b)))) ->= T(check(sys(S(not(b),ds),x,y,bot())))
0.00/0.11	    4: T(ok(sys(x,y,R(b),bot()))) ->= T(check(sys(x,y,R(b),F(not(b)))))
0.00/0.11	    5: not(1()) ->= 0()
0.00/0.11	    6: not(0()) ->= 1()
0.00/0.11	    7: nils() ->= c(new(),nils())
0.00/0.11	    8: p(d,b) ->= bot()
0.00/0.11	    9: f(b) ->= bot()
0.00/0.11	    10: check(old()) ->= ok(old())
0.00/0.11	    11: check(f(v1)) ->= f(check(v1))
0.00/0.11	    12: f(ok(v1)) ->= ok(f(v1))
0.00/0.11	    13: check(p(v1,v2())) ->= p(v1,check(v2()))
0.00/0.11	    14: check(p(v1,v2())) ->= p(check(v1),v2())
0.00/0.11	    15: p(v1,ok(v2())) ->= ok(p(v1,v2()))
0.00/0.11	    16: p(ok(v1),v2()) ->= ok(p(v1,v2()))
0.00/0.11	    17: check(R(v1)) ->= R(check(v1))
0.00/0.11	    18: R(ok(v1)) ->= ok(R(v1))
0.00/0.11	    19: check(not(v1)) ->= not(check(v1))
0.00/0.11	    20: not(ok(v1)) ->= ok(not(v1))
0.00/0.11	    21: check(F(v1)) ->= F(check(v1))
0.00/0.11	    22: F(ok(v1)) ->= ok(F(v1))
0.00/0.11	    23: check(P(v1,v2())) ->= P(v1,check(v2()))
0.00/0.11	    24: check(P(v1,v2())) ->= P(check(v1),v2())
0.00/0.11	    25: P(v1,ok(v2())) ->= ok(P(v1,v2()))
0.00/0.11	    26: P(ok(v1),v2()) ->= ok(P(v1,v2()))
0.00/0.11	    27: check(c(v1,v2())) ->= c(v1,check(v2()))
0.00/0.11	    28: check(c(v1,v2())) ->= c(check(v1),v2())
0.00/0.11	    29: c(v1,ok(v2())) ->= ok(c(v1,v2()))
0.00/0.11	    30: c(ok(v1),v2()) ->= ok(c(v1,v2()))
0.00/0.11	    31: check(S(v1,v2())) ->= S(v1,check(v2()))
0.00/0.11	    32: check(S(v1,v2())) ->= S(check(v1),v2())
0.00/0.11	    33: S(v1,ok(v2())) ->= ok(S(v1,v2()))
0.00/0.11	    34: S(ok(v1),v2()) ->= ok(S(v1,v2()))
0.00/0.11	    35: check(sys(v1,v2(),v3(),v4)) ->= sys(v1,v2(),v3(),check(v4))
0.00/0.11	    36: check(sys(v1,v2(),v3(),v4)) ->= sys(v1,v2(),check(v3()),v4)
0.00/0.11	    37: check(sys(v1,v2(),v3(),v4)) ->= sys(v1,check(v2()),v3(),v4)
0.00/0.11	    38: check(sys(v1,v2(),v3(),v4)) ->= sys(check(v1),v2(),v3(),v4)
0.00/0.11	    39: sys(v1,v2(),v3(),ok(v4)) ->= ok(sys(v1,v2(),v3(),v4))
0.00/0.11	    40: sys(v1,v2(),ok(v3()),v4) ->= ok(sys(v1,v2(),v3(),v4))
0.00/0.11	    41: sys(v1,ok(v2()),v3(),v4) ->= ok(sys(v1,v2(),v3(),v4))
0.00/0.11	    42: sys(ok(v1),v2(),v3(),v4) ->= ok(sys(v1,v2(),v3(),v4))
0.00/0.11	Number of strict rules: 1
0.00/0.11	Direct POLO(bPol) ... failed.
0.00/0.11	Uncurrying ... failed.
0.00/0.11	Dependency Pairs:
0.00/0.11	   #1: #T(ok(sys(S(b,c(d,ds)),bot(),y,z))) ->? #T(check(sys(S(b,c(d,ds)),P(d,b),y,z)))
0.00/0.11	   #2: #T(ok(sys(S(b,c(d,ds)),x,y,F(b)))) ->? #T(check(sys(S(not(b),ds),x,y,bot())))
0.00/0.11	   #3: #T(ok(sys(x,P(d,b),R(b),y))) -> #T(check(sys(x,bot(),R(not(b)),y)))
0.00/0.11	   #4: #T(ok(sys(x,y,R(b),bot()))) ->? #T(check(sys(x,y,R(b),F(not(b)))))
0.00/0.11	Number of SCCs: 1, DPs: 1
0.00/0.11	  SCC { #2 }
0.00/0.11	POLO(Sum)... succeeded.
0.00/0.11	      1 	w: 1
0.00/0.11	      new	w: 1
0.00/0.11	      S 	w: x1 + 3
0.00/0.11	      #T 	w: x1
0.00/0.11	      v2	w: 1
0.00/0.11	      T 	w: 0
0.00/0.11	      F 	w: 3
0.00/0.11	      v3	w: 1
0.00/0.11	      bot	w: 1
0.00/0.11	      nils	w: 2
0.00/0.11	      c 	w: 2
0.00/0.11	      f 	w: 1
0.00/0.11	      check	w: x1
0.00/0.11	      sys	w: x1 + x2 + x4
0.00/0.11	      p 	w: 1
0.00/0.11	      ok	w: x1
0.00/0.11	      0 	w: 1
0.00/0.11	      R 	w: 1
0.00/0.11	      old	w: 1
0.00/0.11	      P 	w: x2
0.00/0.11	      not	w: 1
0.00/0.11	    Removed DPs: #2
0.00/0.11	Number of SCCs: 0, DPs: 0
0.00/0.11	EOF