0.00/0.11	MAYBE
0.00/0.11	Input TRS:
0.00/0.11	    AC symbols: + U *
0.00/0.11	    1: 0(\#()) -> \#()
0.00/0.11	    2: +(\#(),x) -> x
0.00/0.11	    3: +(0(x),0(y)) -> 0(+(x,y))
0.00/0.11	    4: +(0(x),1(y)) -> 1(+(x,y))
0.00/0.11	    5: +(1(x),1(y)) -> 0(+(1(\#()),+(x,y)))
0.00/0.11	    6: *(\#(),x) -> \#()
0.00/0.11	    7: *(0(x),y) -> 0(*(x,y))
0.00/0.11	    8: *(1(x),y) -> +(0(*(x,y)),y)
0.00/0.11	    9: *(+(y,z),x) -> +(*(x,y),*(x,z))
0.00/0.11	    10: U(empty(),b) -> b
0.00/0.11	    11: sum(empty()) -> 0(\#())
0.00/0.11	    12: sum(singl(x)) -> x
0.00/0.11	    13: sum(U(x,y)) -> +(sum(x),sum(y))
0.00/0.11	    14: prod(empty()) -> 1(\#())
0.00/0.11	    15: prod(singl(x)) -> x
0.00/0.11	    16: prod(U(x,y)) -> *(prod(x),prod(y))
0.00/0.11	Number of strict rules: 16
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: #sum(U(x,y)) -> #+(sum(x),sum(y))
0.00/0.11	   #2: #sum(U(x,y)) -> #sum(x)
0.00/0.11	   #3: #sum(U(x,y)) -> #sum(y)
0.00/0.11	   #4: #*(+(y,z),x) -> #+(*(x,y),*(x,z))
0.00/0.11	   #5: #*(+(y,z),x) -> #*(x,y)
0.00/0.11	   #6: #*(+(y,z),x) -> #*(x,z)
0.00/0.11	   #7: #sum(empty()) -> #0(\#())
0.00/0.11	   #8: #*(0(x),y) -> #0(*(x,y))
0.00/0.11	   #9: #*(0(x),y) -> #*(x,y)
0.00/0.11	   #10: #+(1(x),1(y)) -> #0(+(1(\#()),+(x,y)))
0.00/0.11	   #11: #+(1(x),1(y)) -> #+(1(\#()),+(x,y))
0.00/0.11	   #12: #+(1(x),1(y)) -> #+(x,y)
0.00/0.11	   #13: #+(x,+(y,z)) ->= #+(+(x,y),z)
0.00/0.11	   #14: #+(x,+(y,z)) ->= #+(x,y)
0.00/0.11	   #15: #*(x,*(y,z)) ->= #*(*(x,y),z)
0.00/0.11	   #16: #*(x,*(y,z)) ->= #*(x,y)
0.00/0.11	   #17: #prod(U(x,y)) -> #*(prod(x),prod(y))
0.00/0.11	   #18: #prod(U(x,y)) -> #prod(x)
0.00/0.11	   #19: #prod(U(x,y)) -> #prod(y)
0.00/0.11	   #20: #+(0(x),0(y)) -> #0(+(x,y))
0.00/0.11	   #21: #+(0(x),0(y)) -> #+(x,y)
0.00/0.11	   #22: #*(1(x),y) -> #+(0(*(x,y)),y)
0.00/0.11	   #23: #*(1(x),y) -> #0(*(x,y))
0.00/0.11	   #24: #*(1(x),y) -> #*(x,y)
0.00/0.11	   #25: #+(0(x),1(y)) -> #+(x,y)
0.00/0.11	   #26: #U(x,U(y,z)) ->= #U(U(x,y),z)
0.00/0.11	   #27: #U(x,U(y,z)) ->= #U(x,y)
0.00/0.11	Number of SCCs: 5, DPs: 18
0.00/0.11	  SCC { #18 #19 }
0.00/0.11	POLO(Sum)... succeeded.
0.00/0.11	      #0 	w: 0
0.00/0.11	      1 	w: 0
0.00/0.11	      prod	w: 0
0.00/0.11	      #prod	w: x1
0.00/0.11	      #* 	w: 0
0.00/0.11	      \#	w: 0
0.00/0.11	      #U 	w: 0
0.00/0.11	      sum	w: 0
0.00/0.11	      0 	w: 0
0.00/0.11	      singl	w: 0
0.00/0.11	      empty	w: 0
0.00/0.11	      + 	w: 0
0.00/0.11	      #sum	w: 0
0.00/0.11	      U 	w: x1 + x2 + 1
0.00/0.11	      #+ 	w: 0
0.00/0.11	      * 	w: 0
0.00/0.11	    USABLE RULES: { }
0.00/0.11	    Removed DPs: #18 #19
0.00/0.11	Number of SCCs: 4, DPs: 16
0.00/0.11	  SCC { #2 #3 }
0.00/0.11	POLO(Sum)... succeeded.
0.00/0.11	      #0 	w: 0
0.00/0.11	      1 	w: 0
0.00/0.11	      prod	w: 0
0.00/0.11	      #prod	w: 0
0.00/0.11	      #* 	w: 0
0.00/0.11	      \#	w: 0
0.00/0.11	      #U 	w: 0
0.00/0.11	      sum	w: 0
0.00/0.11	      0 	w: 0
0.00/0.11	      singl	w: 0
0.00/0.11	      empty	w: 0
0.00/0.11	      + 	w: 0
0.00/0.11	      #sum	w: x1
0.00/0.11	      U 	w: x1 + x2 + 1
0.00/0.11	      #+ 	w: 0
0.00/0.11	      * 	w: 0
0.00/0.11	    USABLE RULES: { }
0.00/0.11	    Removed DPs: #2 #3
0.00/0.11	Number of SCCs: 3, DPs: 14
0.00/0.11	  SCC { #26 #27 }
0.00/0.11	only weak rules.
0.00/0.11	Number of SCCs: 2, DPs: 12
0.00/0.11	  SCC { #5 #6 #9 #15 #16 #24 }
0.00/0.11	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
0.00/0.11	      #0 	w: 0
0.00/0.11	      1 	w: max(x1, 0)
0.00/0.11	      prod	w: 0
0.00/0.11	      #prod	w: max(x1 - 1, 0)
0.00/0.11	      #* 	w: max(x1 + x2 - 1, 0)
0.00/0.11	      \#	w: 0
0.00/0.11	      #U 	w: max(x1 + x2 - 1, 0)
0.00/0.11	      sum	w: 0
0.00/0.11	      0 	w: max(x1, 0)
0.00/0.11	      singl	w: max(x1 - 1, 0)
0.00/0.11	      empty	w: 0
0.00/0.11	      + 	w: max(x1, x2, 0)
0.00/0.11	      #sum	w: max(x1 - 1, 0)
0.00/0.11	      U 	w: 0
0.00/0.11	      #+ 	w: 0
0.00/0.11	      * 	w: max(x1 + x2 + 2, 0)
0.00/0.11	    USABLE RULES: { 1..9 17 19 }
0.00/0.11	    Removed DPs: #16
0.00/0.11	Number of SCCs: 2, DPs: 11
0.00/0.11	  SCC { #5 #6 #9 #15 #24 }
0.00/0.11	POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
0.00/0.11	Finding a loop...  failed.
0.00/0.11	EOF