0.00/0.02	YES
0.00/0.03	Input TRS:
0.00/0.03	    AC symbols: + *
0.00/0.03	    1: dx(X()) -> 1()
0.00/0.03	    2: dx(0()) -> 0()
0.00/0.03	    3: dx(1()) -> 0()
0.00/0.03	    4: dx(a()) -> 0()
0.00/0.03	    5: dx(+(f,g)) -> +(dx(f),dx(g))
0.00/0.03	    6: dx(*(f,g)) -> +(*(dx(f),g),*(dx(g),f))
0.00/0.03	    7: dx(-(f,g)) -> -(dx(f),dx(g))
0.00/0.03	    8: dx(neg(f)) -> neg(dx(f))
0.00/0.03	    9: dx(/(f,g)) -> -(/(dx(f),g),/(*(dx(g),f),exp(g,2())))
0.00/0.03	    10: dx(ln(f)) -> /(dx(f),f)
0.00/0.03	    11: dx(exp(f,g)) -> +(*(dx(f),*(exp(f,-(g,1())),g)),*(dx(g),*(exp(f,g),ln(f))))
0.00/0.03	Number of strict rules: 11
0.00/0.03	Direct POLO(bPol) ... failed.
0.00/0.03	Uncurrying ... failed.
0.00/0.03	Dependency Pairs:
0.00/0.03	   #1: #dx(*(f,g)) -> #+(*(dx(f),g),*(dx(g),f))
0.00/0.03	   #2: #dx(*(f,g)) -> #*(dx(f),g)
0.00/0.03	   #3: #dx(*(f,g)) -> #dx(f)
0.00/0.03	   #4: #dx(*(f,g)) -> #*(dx(g),f)
0.00/0.03	   #5: #dx(*(f,g)) -> #dx(g)
0.00/0.03	   #6: #*(x,*(y,z)) ->= #*(*(x,y),z)
0.00/0.03	   #7: #*(x,*(y,z)) ->= #*(x,y)
0.00/0.03	   #8: #dx(/(f,g)) -> #dx(f)
0.00/0.03	   #9: #dx(/(f,g)) -> #*(dx(g),f)
0.00/0.03	   #10: #dx(/(f,g)) -> #dx(g)
0.00/0.03	   #11: #dx(exp(f,g)) -> #+(*(dx(f),*(exp(f,-(g,1())),g)),*(dx(g),*(exp(f,g),ln(f))))
0.00/0.03	   #12: #dx(exp(f,g)) -> #*(dx(f),*(exp(f,-(g,1())),g))
0.00/0.03	   #13: #dx(exp(f,g)) -> #dx(f)
0.00/0.03	   #14: #dx(exp(f,g)) -> #*(exp(f,-(g,1())),g)
0.00/0.03	   #15: #dx(exp(f,g)) -> #*(dx(g),*(exp(f,g),ln(f)))
0.00/0.03	   #16: #dx(exp(f,g)) -> #dx(g)
0.00/0.03	   #17: #dx(exp(f,g)) -> #*(exp(f,g),ln(f))
0.00/0.03	   #18: #+(x,+(y,z)) ->= #+(+(x,y),z)
0.00/0.03	   #19: #+(x,+(y,z)) ->= #+(x,y)
0.00/0.03	   #20: #dx(-(f,g)) -> #dx(f)
0.00/0.03	   #21: #dx(-(f,g)) -> #dx(g)
0.00/0.03	   #22: #dx(ln(f)) -> #dx(f)
0.00/0.03	   #23: #dx(+(f,g)) -> #+(dx(f),dx(g))
0.00/0.03	   #24: #dx(+(f,g)) -> #dx(f)
0.00/0.03	   #25: #dx(+(f,g)) -> #dx(g)
0.00/0.03	   #26: #dx(neg(f)) -> #dx(f)
0.00/0.03	Number of SCCs: 3, DPs: 16
0.00/0.03	  SCC { #6 #7 }
0.00/0.03	only weak rules.
0.00/0.03	Number of SCCs: 2, DPs: 14
0.00/0.03	  SCC { #18 #19 }
0.00/0.03	only weak rules.
0.00/0.03	Number of SCCs: 1, DPs: 12
0.00/0.03	  SCC { #3 #5 #8 #10 #13 #16 #20..22 #24..26 }
0.00/0.03	POLO(Sum)... succeeded.
0.00/0.03	      a 	w: 0
0.00/0.03	      1 	w: 0
0.00/0.03	      ln	w: x1 + 1
0.00/0.03	      / 	w: x1 + x2 + 1
0.00/0.03	      #dx	w: x1
0.00/0.03	      dx	w: 0
0.00/0.03	      0 	w: 0
0.00/0.03	      - 	w: x1 + x2 + 1
0.00/0.03	      neg	w: x1 + 1
0.00/0.03	      2 	w: 0
0.00/0.03	      exp	w: x1 + x2 + 1
0.00/0.03	      + 	w: x1 + x2 + 1
0.00/0.03	      X 	w: 0
0.00/0.03	      * 	w: x1 + x2 + 1
0.00/0.03	    USABLE RULES: { }
0.00/0.03	    Removed DPs: #3 #5 #8 #10 #13 #16 #20..22 #24..26
0.00/0.03	Number of SCCs: 0, DPs: 0
0.00/0.03	Next Dependency Pairs:
0.00/0.03	   #27: #*(x,*(y,z)) ->= #*(*(x,y),z)
0.00/0.03	   #28: #*(x,*(y,z)) ->= #*(x,y)
0.00/0.03	   #29: #+(x,+(y,z)) ->= #+(+(x,y),z)
0.00/0.03	   #30: #+(x,+(y,z)) ->= #+(x,y)
0.00/0.03	Number of SCCs: 2, DPs: 4
0.00/0.03	  SCC { #27 #28 }
0.00/0.03	only weak rules.
0.00/0.03	Number of SCCs: 1, DPs: 2
0.00/0.03	  SCC { #29 #30 }
0.00/0.03	only weak rules.
0.00/0.03	Number of SCCs: 0, DPs: 0
0.00/0.03	EOF