MAYBE
783.25/297.03	MAYBE
783.25/297.03	
783.25/297.03	We are left with following problem, upon which TcT provides the
783.25/297.03	certificate MAYBE.
783.25/297.03	
783.25/297.03	Strict Trs:
783.25/297.03	  { 0(#()) -> #()
783.25/297.03	  , +(x, #()) -> x
783.25/297.03	  , +(0(x), 0(y)) -> 0(+(x, y))
783.25/297.03	  , +(0(x), 1(y)) -> 1(+(x, y))
783.25/297.03	  , +(0(x), j(y)) -> j(+(x, y))
783.25/297.03	  , +(#(), x) -> x
783.25/297.03	  , +(+(x, y), z) -> +(x, +(y, z))
783.25/297.03	  , +(1(x), 0(y)) -> 1(+(x, y))
783.25/297.03	  , +(1(x), 1(y)) -> j(+(+(x, y), 1(#())))
783.25/297.03	  , +(1(x), j(y)) -> 0(+(x, y))
783.25/297.03	  , +(j(x), 0(y)) -> j(+(x, y))
783.25/297.03	  , +(j(x), 1(y)) -> 0(+(x, y))
783.25/297.03	  , +(j(x), j(y)) -> 1(+(+(x, y), j(#())))
783.25/297.03	  , opp(0(x)) -> 0(opp(x))
783.25/297.03	  , opp(#()) -> #()
783.25/297.03	  , opp(1(x)) -> j(opp(x))
783.25/297.03	  , opp(j(x)) -> 1(opp(x))
783.25/297.03	  , -(x, y) -> +(x, opp(y))
783.25/297.03	  , *(x, +(y, z)) -> +(*(x, y), *(x, z))
783.25/297.03	  , *(0(x), y) -> 0(*(x, y))
783.25/297.03	  , *(#(), x) -> #()
783.25/297.03	  , *(+(x, y), z) -> +(*(x, z), *(y, z))
783.25/297.03	  , *(1(x), y) -> +(0(*(x, y)), y)
783.25/297.03	  , *(j(x), y) -> -(0(*(x, y)), y)
783.25/297.03	  , *(*(x, y), z) -> *(x, *(y, z)) }
783.25/297.03	Obligation:
783.25/297.03	  runtime complexity
783.25/297.03	Answer:
783.25/297.03	  MAYBE
783.25/297.03	
783.25/297.03	None of the processors succeeded.
783.25/297.03	
783.25/297.03	Details of failed attempt(s):
783.25/297.03	-----------------------------
783.25/297.03	1) 'With Problem ... (timeout of 297 seconds)' failed due to the
783.25/297.03	   following reason:
783.25/297.03	   
783.25/297.03	   Computation stopped due to timeout after 297.0 seconds.
783.25/297.03	
783.25/297.03	2) 'Best' failed due to the following reason:
783.25/297.03	   
783.25/297.03	   None of the processors succeeded.
783.25/297.03	   
783.25/297.03	   Details of failed attempt(s):
783.25/297.03	   -----------------------------
783.25/297.03	   1) 'With Problem ... (timeout of 148 seconds) (timeout of 297
783.25/297.03	      seconds)' failed due to the following reason:
783.25/297.03	      
783.25/297.03	      Computation stopped due to timeout after 148.0 seconds.
783.25/297.03	   
783.25/297.03	   2) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)'
783.25/297.03	      failed due to the following reason:
783.25/297.03	      
783.25/297.03	      None of the processors succeeded.
783.25/297.03	      
783.25/297.03	      Details of failed attempt(s):
783.25/297.03	      -----------------------------
783.25/297.03	      1) 'Bounds with minimal-enrichment and initial automaton 'match''
783.25/297.03	         failed due to the following reason:
783.25/297.03	         
783.25/297.03	         match-boundness of the problem could not be verified.
783.25/297.03	      
783.25/297.03	      2) 'Bounds with perSymbol-enrichment and initial automaton 'match''
783.25/297.03	         failed due to the following reason:
783.25/297.03	         
783.25/297.03	         match-boundness of the problem could not be verified.
783.25/297.03	      
783.25/297.03	   
783.25/297.03	   3) 'Best' failed due to the following reason:
783.25/297.03	      
783.25/297.03	      None of the processors succeeded.
783.25/297.03	      
783.25/297.03	      Details of failed attempt(s):
783.25/297.03	      -----------------------------
783.25/297.03	      1) 'bsearch-popstar (timeout of 297 seconds)' failed due to the
783.25/297.03	         following reason:
783.25/297.03	         
783.25/297.03	         The processor is inapplicable, reason:
783.25/297.03	           Processor only applicable for innermost runtime complexity analysis
783.25/297.03	      
783.25/297.03	      2) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due
783.25/297.03	         to the following reason:
783.25/297.03	         
783.25/297.03	         The processor is inapplicable, reason:
783.25/297.03	           Processor only applicable for innermost runtime complexity analysis
783.25/297.03	      
783.25/297.03	   
783.25/297.03	
783.25/297.03	3) 'Weak Dependency Pairs (timeout of 297 seconds)' failed due to
783.25/297.03	   the following reason:
783.25/297.03	   
783.25/297.03	   We add the following weak dependency pairs:
783.25/297.03	   
783.25/297.03	   Strict DPs:
783.25/297.03	     { 0^#(#()) -> c_1()
783.25/297.03	     , +^#(x, #()) -> c_2(x)
783.25/297.03	     , +^#(0(x), 0(y)) -> c_3(0^#(+(x, y)))
783.25/297.03	     , +^#(0(x), 1(y)) -> c_4(+^#(x, y))
783.25/297.03	     , +^#(0(x), j(y)) -> c_5(+^#(x, y))
783.25/297.03	     , +^#(#(), x) -> c_6(x)
783.25/297.03	     , +^#(+(x, y), z) -> c_7(+^#(x, +(y, z)))
783.25/297.03	     , +^#(1(x), 0(y)) -> c_8(+^#(x, y))
783.25/297.03	     , +^#(1(x), 1(y)) -> c_9(+^#(+(x, y), 1(#())))
783.25/297.03	     , +^#(1(x), j(y)) -> c_10(0^#(+(x, y)))
783.25/297.03	     , +^#(j(x), 0(y)) -> c_11(+^#(x, y))
783.25/297.03	     , +^#(j(x), 1(y)) -> c_12(0^#(+(x, y)))
783.25/297.03	     , +^#(j(x), j(y)) -> c_13(+^#(+(x, y), j(#())))
783.25/297.03	     , opp^#(0(x)) -> c_14(0^#(opp(x)))
783.25/297.03	     , opp^#(#()) -> c_15()
783.25/297.03	     , opp^#(1(x)) -> c_16(opp^#(x))
783.25/297.03	     , opp^#(j(x)) -> c_17(opp^#(x))
783.25/297.03	     , -^#(x, y) -> c_18(+^#(x, opp(y)))
783.25/297.03	     , *^#(x, +(y, z)) -> c_19(+^#(*(x, y), *(x, z)))
783.25/297.03	     , *^#(0(x), y) -> c_20(0^#(*(x, y)))
783.25/297.03	     , *^#(#(), x) -> c_21()
783.25/297.03	     , *^#(+(x, y), z) -> c_22(+^#(*(x, z), *(y, z)))
783.25/297.03	     , *^#(1(x), y) -> c_23(+^#(0(*(x, y)), y))
783.25/297.03	     , *^#(j(x), y) -> c_24(-^#(0(*(x, y)), y))
783.25/297.03	     , *^#(*(x, y), z) -> c_25(*^#(x, *(y, z))) }
783.25/297.03	   
783.25/297.03	   and mark the set of starting terms.
783.25/297.03	   
783.25/297.03	   We are left with following problem, upon which TcT provides the
783.25/297.03	   certificate MAYBE.
783.25/297.03	   
783.25/297.03	   Strict DPs:
783.25/297.03	     { 0^#(#()) -> c_1()
783.25/297.03	     , +^#(x, #()) -> c_2(x)
783.25/297.03	     , +^#(0(x), 0(y)) -> c_3(0^#(+(x, y)))
783.25/297.03	     , +^#(0(x), 1(y)) -> c_4(+^#(x, y))
783.25/297.03	     , +^#(0(x), j(y)) -> c_5(+^#(x, y))
783.25/297.03	     , +^#(#(), x) -> c_6(x)
783.25/297.03	     , +^#(+(x, y), z) -> c_7(+^#(x, +(y, z)))
783.25/297.03	     , +^#(1(x), 0(y)) -> c_8(+^#(x, y))
783.25/297.03	     , +^#(1(x), 1(y)) -> c_9(+^#(+(x, y), 1(#())))
783.25/297.03	     , +^#(1(x), j(y)) -> c_10(0^#(+(x, y)))
783.25/297.03	     , +^#(j(x), 0(y)) -> c_11(+^#(x, y))
783.25/297.03	     , +^#(j(x), 1(y)) -> c_12(0^#(+(x, y)))
783.25/297.03	     , +^#(j(x), j(y)) -> c_13(+^#(+(x, y), j(#())))
783.25/297.03	     , opp^#(0(x)) -> c_14(0^#(opp(x)))
783.25/297.03	     , opp^#(#()) -> c_15()
783.25/297.03	     , opp^#(1(x)) -> c_16(opp^#(x))
783.25/297.03	     , opp^#(j(x)) -> c_17(opp^#(x))
783.25/297.03	     , -^#(x, y) -> c_18(+^#(x, opp(y)))
783.25/297.03	     , *^#(x, +(y, z)) -> c_19(+^#(*(x, y), *(x, z)))
783.25/297.03	     , *^#(0(x), y) -> c_20(0^#(*(x, y)))
783.25/297.03	     , *^#(#(), x) -> c_21()
783.25/297.03	     , *^#(+(x, y), z) -> c_22(+^#(*(x, z), *(y, z)))
783.25/297.03	     , *^#(1(x), y) -> c_23(+^#(0(*(x, y)), y))
783.25/297.03	     , *^#(j(x), y) -> c_24(-^#(0(*(x, y)), y))
783.25/297.03	     , *^#(*(x, y), z) -> c_25(*^#(x, *(y, z))) }
783.25/297.03	   Strict Trs:
783.25/297.03	     { 0(#()) -> #()
783.25/297.03	     , +(x, #()) -> x
783.25/297.03	     , +(0(x), 0(y)) -> 0(+(x, y))
783.25/297.03	     , +(0(x), 1(y)) -> 1(+(x, y))
783.25/297.03	     , +(0(x), j(y)) -> j(+(x, y))
783.25/297.03	     , +(#(), x) -> x
783.25/297.03	     , +(+(x, y), z) -> +(x, +(y, z))
783.25/297.03	     , +(1(x), 0(y)) -> 1(+(x, y))
783.25/297.03	     , +(1(x), 1(y)) -> j(+(+(x, y), 1(#())))
783.25/297.03	     , +(1(x), j(y)) -> 0(+(x, y))
783.25/297.03	     , +(j(x), 0(y)) -> j(+(x, y))
783.25/297.03	     , +(j(x), 1(y)) -> 0(+(x, y))
783.25/297.03	     , +(j(x), j(y)) -> 1(+(+(x, y), j(#())))
783.25/297.03	     , opp(0(x)) -> 0(opp(x))
783.25/297.03	     , opp(#()) -> #()
783.25/297.03	     , opp(1(x)) -> j(opp(x))
783.25/297.03	     , opp(j(x)) -> 1(opp(x))
783.25/297.03	     , -(x, y) -> +(x, opp(y))
783.25/297.03	     , *(x, +(y, z)) -> +(*(x, y), *(x, z))
783.25/297.03	     , *(0(x), y) -> 0(*(x, y))
783.25/297.03	     , *(#(), x) -> #()
783.25/297.03	     , *(+(x, y), z) -> +(*(x, z), *(y, z))
783.25/297.03	     , *(1(x), y) -> +(0(*(x, y)), y)
783.25/297.03	     , *(j(x), y) -> -(0(*(x, y)), y)
783.25/297.03	     , *(*(x, y), z) -> *(x, *(y, z)) }
783.25/297.03	   Obligation:
783.25/297.03	     runtime complexity
783.25/297.03	   Answer:
783.25/297.03	     MAYBE
783.25/297.03	   
783.25/297.03	   We estimate the number of application of {1,15,21} by applications
783.25/297.03	   of Pre({1,15,21}) = {2,3,6,10,12,14,16,17,20,25}. Here rules are
783.25/297.03	   labeled as follows:
783.25/297.03	   
783.25/297.03	     DPs:
783.25/297.03	       { 1: 0^#(#()) -> c_1()
783.25/297.03	       , 2: +^#(x, #()) -> c_2(x)
783.25/297.03	       , 3: +^#(0(x), 0(y)) -> c_3(0^#(+(x, y)))
783.25/297.03	       , 4: +^#(0(x), 1(y)) -> c_4(+^#(x, y))
783.25/297.03	       , 5: +^#(0(x), j(y)) -> c_5(+^#(x, y))
783.25/297.03	       , 6: +^#(#(), x) -> c_6(x)
783.25/297.03	       , 7: +^#(+(x, y), z) -> c_7(+^#(x, +(y, z)))
783.25/297.03	       , 8: +^#(1(x), 0(y)) -> c_8(+^#(x, y))
783.25/297.03	       , 9: +^#(1(x), 1(y)) -> c_9(+^#(+(x, y), 1(#())))
783.25/297.03	       , 10: +^#(1(x), j(y)) -> c_10(0^#(+(x, y)))
783.25/297.03	       , 11: +^#(j(x), 0(y)) -> c_11(+^#(x, y))
783.25/297.03	       , 12: +^#(j(x), 1(y)) -> c_12(0^#(+(x, y)))
783.25/297.03	       , 13: +^#(j(x), j(y)) -> c_13(+^#(+(x, y), j(#())))
783.25/297.03	       , 14: opp^#(0(x)) -> c_14(0^#(opp(x)))
783.25/297.03	       , 15: opp^#(#()) -> c_15()
783.25/297.03	       , 16: opp^#(1(x)) -> c_16(opp^#(x))
783.25/297.03	       , 17: opp^#(j(x)) -> c_17(opp^#(x))
783.25/297.03	       , 18: -^#(x, y) -> c_18(+^#(x, opp(y)))
783.25/297.03	       , 19: *^#(x, +(y, z)) -> c_19(+^#(*(x, y), *(x, z)))
783.25/297.03	       , 20: *^#(0(x), y) -> c_20(0^#(*(x, y)))
783.25/297.03	       , 21: *^#(#(), x) -> c_21()
783.25/297.03	       , 22: *^#(+(x, y), z) -> c_22(+^#(*(x, z), *(y, z)))
783.25/297.03	       , 23: *^#(1(x), y) -> c_23(+^#(0(*(x, y)), y))
783.25/297.03	       , 24: *^#(j(x), y) -> c_24(-^#(0(*(x, y)), y))
783.25/297.03	       , 25: *^#(*(x, y), z) -> c_25(*^#(x, *(y, z))) }
783.25/297.03	   
783.25/297.03	   We are left with following problem, upon which TcT provides the
783.25/297.03	   certificate MAYBE.
783.25/297.03	   
783.25/297.03	   Strict DPs:
783.25/297.03	     { +^#(x, #()) -> c_2(x)
783.25/297.03	     , +^#(0(x), 0(y)) -> c_3(0^#(+(x, y)))
783.25/297.03	     , +^#(0(x), 1(y)) -> c_4(+^#(x, y))
783.25/297.03	     , +^#(0(x), j(y)) -> c_5(+^#(x, y))
783.25/297.03	     , +^#(#(), x) -> c_6(x)
783.25/297.03	     , +^#(+(x, y), z) -> c_7(+^#(x, +(y, z)))
783.25/297.03	     , +^#(1(x), 0(y)) -> c_8(+^#(x, y))
783.25/297.03	     , +^#(1(x), 1(y)) -> c_9(+^#(+(x, y), 1(#())))
783.25/297.03	     , +^#(1(x), j(y)) -> c_10(0^#(+(x, y)))
783.25/297.03	     , +^#(j(x), 0(y)) -> c_11(+^#(x, y))
783.25/297.03	     , +^#(j(x), 1(y)) -> c_12(0^#(+(x, y)))
783.25/297.03	     , +^#(j(x), j(y)) -> c_13(+^#(+(x, y), j(#())))
783.25/297.04	     , opp^#(0(x)) -> c_14(0^#(opp(x)))
783.25/297.04	     , opp^#(1(x)) -> c_16(opp^#(x))
783.25/297.04	     , opp^#(j(x)) -> c_17(opp^#(x))
783.25/297.04	     , -^#(x, y) -> c_18(+^#(x, opp(y)))
783.25/297.04	     , *^#(x, +(y, z)) -> c_19(+^#(*(x, y), *(x, z)))
783.25/297.04	     , *^#(0(x), y) -> c_20(0^#(*(x, y)))
783.25/297.04	     , *^#(+(x, y), z) -> c_22(+^#(*(x, z), *(y, z)))
783.25/297.04	     , *^#(1(x), y) -> c_23(+^#(0(*(x, y)), y))
783.25/297.04	     , *^#(j(x), y) -> c_24(-^#(0(*(x, y)), y))
783.25/297.04	     , *^#(*(x, y), z) -> c_25(*^#(x, *(y, z))) }
783.25/297.04	   Strict Trs:
783.25/297.04	     { 0(#()) -> #()
783.25/297.04	     , +(x, #()) -> x
783.25/297.04	     , +(0(x), 0(y)) -> 0(+(x, y))
783.25/297.04	     , +(0(x), 1(y)) -> 1(+(x, y))
783.25/297.04	     , +(0(x), j(y)) -> j(+(x, y))
783.25/297.04	     , +(#(), x) -> x
783.25/297.04	     , +(+(x, y), z) -> +(x, +(y, z))
783.25/297.04	     , +(1(x), 0(y)) -> 1(+(x, y))
783.25/297.04	     , +(1(x), 1(y)) -> j(+(+(x, y), 1(#())))
783.25/297.04	     , +(1(x), j(y)) -> 0(+(x, y))
783.25/297.04	     , +(j(x), 0(y)) -> j(+(x, y))
783.25/297.04	     , +(j(x), 1(y)) -> 0(+(x, y))
783.25/297.04	     , +(j(x), j(y)) -> 1(+(+(x, y), j(#())))
783.25/297.04	     , opp(0(x)) -> 0(opp(x))
783.25/297.04	     , opp(#()) -> #()
783.25/297.04	     , opp(1(x)) -> j(opp(x))
783.25/297.04	     , opp(j(x)) -> 1(opp(x))
783.25/297.04	     , -(x, y) -> +(x, opp(y))
783.25/297.04	     , *(x, +(y, z)) -> +(*(x, y), *(x, z))
783.25/297.04	     , *(0(x), y) -> 0(*(x, y))
783.25/297.04	     , *(#(), x) -> #()
783.25/297.04	     , *(+(x, y), z) -> +(*(x, z), *(y, z))
783.25/297.04	     , *(1(x), y) -> +(0(*(x, y)), y)
783.25/297.04	     , *(j(x), y) -> -(0(*(x, y)), y)
783.25/297.04	     , *(*(x, y), z) -> *(x, *(y, z)) }
783.25/297.04	   Weak DPs:
783.25/297.04	     { 0^#(#()) -> c_1()
783.25/297.04	     , opp^#(#()) -> c_15()
783.25/297.04	     , *^#(#(), x) -> c_21() }
783.25/297.04	   Obligation:
783.25/297.04	     runtime complexity
783.25/297.04	   Answer:
783.25/297.04	     MAYBE
783.25/297.04	   
783.25/297.04	   We estimate the number of application of {2,9,11,13,18} by
783.25/297.04	   applications of Pre({2,9,11,13,18}) =
783.25/297.04	   {1,3,4,5,6,7,8,10,12,14,15,16,17,19,20,22}. Here rules are labeled
783.25/297.04	   as follows:
783.25/297.04	   
783.25/297.04	     DPs:
783.25/297.04	       { 1: +^#(x, #()) -> c_2(x)
783.25/297.04	       , 2: +^#(0(x), 0(y)) -> c_3(0^#(+(x, y)))
783.25/297.04	       , 3: +^#(0(x), 1(y)) -> c_4(+^#(x, y))
783.25/297.04	       , 4: +^#(0(x), j(y)) -> c_5(+^#(x, y))
783.25/297.04	       , 5: +^#(#(), x) -> c_6(x)
783.25/297.04	       , 6: +^#(+(x, y), z) -> c_7(+^#(x, +(y, z)))
783.25/297.04	       , 7: +^#(1(x), 0(y)) -> c_8(+^#(x, y))
783.25/297.04	       , 8: +^#(1(x), 1(y)) -> c_9(+^#(+(x, y), 1(#())))
783.25/297.04	       , 9: +^#(1(x), j(y)) -> c_10(0^#(+(x, y)))
783.25/297.04	       , 10: +^#(j(x), 0(y)) -> c_11(+^#(x, y))
783.25/297.04	       , 11: +^#(j(x), 1(y)) -> c_12(0^#(+(x, y)))
783.25/297.04	       , 12: +^#(j(x), j(y)) -> c_13(+^#(+(x, y), j(#())))
783.25/297.04	       , 13: opp^#(0(x)) -> c_14(0^#(opp(x)))
783.25/297.04	       , 14: opp^#(1(x)) -> c_16(opp^#(x))
783.25/297.04	       , 15: opp^#(j(x)) -> c_17(opp^#(x))
783.25/297.04	       , 16: -^#(x, y) -> c_18(+^#(x, opp(y)))
783.25/297.04	       , 17: *^#(x, +(y, z)) -> c_19(+^#(*(x, y), *(x, z)))
783.25/297.04	       , 18: *^#(0(x), y) -> c_20(0^#(*(x, y)))
783.25/297.04	       , 19: *^#(+(x, y), z) -> c_22(+^#(*(x, z), *(y, z)))
783.25/297.04	       , 20: *^#(1(x), y) -> c_23(+^#(0(*(x, y)), y))
783.25/297.04	       , 21: *^#(j(x), y) -> c_24(-^#(0(*(x, y)), y))
783.25/297.04	       , 22: *^#(*(x, y), z) -> c_25(*^#(x, *(y, z)))
783.25/297.04	       , 23: 0^#(#()) -> c_1()
783.25/297.04	       , 24: opp^#(#()) -> c_15()
783.25/297.04	       , 25: *^#(#(), x) -> c_21() }
783.25/297.04	   
783.25/297.04	   We are left with following problem, upon which TcT provides the
783.25/297.04	   certificate MAYBE.
783.25/297.04	   
783.25/297.04	   Strict DPs:
783.25/297.04	     { +^#(x, #()) -> c_2(x)
783.25/297.04	     , +^#(0(x), 1(y)) -> c_4(+^#(x, y))
783.25/297.04	     , +^#(0(x), j(y)) -> c_5(+^#(x, y))
783.25/297.04	     , +^#(#(), x) -> c_6(x)
783.25/297.04	     , +^#(+(x, y), z) -> c_7(+^#(x, +(y, z)))
783.25/297.04	     , +^#(1(x), 0(y)) -> c_8(+^#(x, y))
783.25/297.04	     , +^#(1(x), 1(y)) -> c_9(+^#(+(x, y), 1(#())))
783.25/297.04	     , +^#(j(x), 0(y)) -> c_11(+^#(x, y))
783.25/297.04	     , +^#(j(x), j(y)) -> c_13(+^#(+(x, y), j(#())))
783.25/297.04	     , opp^#(1(x)) -> c_16(opp^#(x))
783.25/297.04	     , opp^#(j(x)) -> c_17(opp^#(x))
783.25/297.04	     , -^#(x, y) -> c_18(+^#(x, opp(y)))
783.25/297.04	     , *^#(x, +(y, z)) -> c_19(+^#(*(x, y), *(x, z)))
783.25/297.04	     , *^#(+(x, y), z) -> c_22(+^#(*(x, z), *(y, z)))
783.25/297.04	     , *^#(1(x), y) -> c_23(+^#(0(*(x, y)), y))
783.25/297.04	     , *^#(j(x), y) -> c_24(-^#(0(*(x, y)), y))
783.25/297.04	     , *^#(*(x, y), z) -> c_25(*^#(x, *(y, z))) }
783.25/297.04	   Strict Trs:
783.25/297.04	     { 0(#()) -> #()
783.25/297.04	     , +(x, #()) -> x
783.25/297.04	     , +(0(x), 0(y)) -> 0(+(x, y))
783.25/297.04	     , +(0(x), 1(y)) -> 1(+(x, y))
783.25/297.04	     , +(0(x), j(y)) -> j(+(x, y))
783.25/297.04	     , +(#(), x) -> x
783.25/297.04	     , +(+(x, y), z) -> +(x, +(y, z))
783.25/297.04	     , +(1(x), 0(y)) -> 1(+(x, y))
783.25/297.04	     , +(1(x), 1(y)) -> j(+(+(x, y), 1(#())))
783.25/297.04	     , +(1(x), j(y)) -> 0(+(x, y))
783.25/297.04	     , +(j(x), 0(y)) -> j(+(x, y))
783.25/297.04	     , +(j(x), 1(y)) -> 0(+(x, y))
783.25/297.04	     , +(j(x), j(y)) -> 1(+(+(x, y), j(#())))
783.25/297.04	     , opp(0(x)) -> 0(opp(x))
783.25/297.04	     , opp(#()) -> #()
783.25/297.04	     , opp(1(x)) -> j(opp(x))
783.25/297.04	     , opp(j(x)) -> 1(opp(x))
783.25/297.04	     , -(x, y) -> +(x, opp(y))
783.25/297.04	     , *(x, +(y, z)) -> +(*(x, y), *(x, z))
783.25/297.04	     , *(0(x), y) -> 0(*(x, y))
783.25/297.04	     , *(#(), x) -> #()
783.25/297.04	     , *(+(x, y), z) -> +(*(x, z), *(y, z))
783.25/297.04	     , *(1(x), y) -> +(0(*(x, y)), y)
783.25/297.04	     , *(j(x), y) -> -(0(*(x, y)), y)
783.25/297.04	     , *(*(x, y), z) -> *(x, *(y, z)) }
783.25/297.04	   Weak DPs:
783.25/297.04	     { 0^#(#()) -> c_1()
783.25/297.04	     , +^#(0(x), 0(y)) -> c_3(0^#(+(x, y)))
783.25/297.04	     , +^#(1(x), j(y)) -> c_10(0^#(+(x, y)))
783.25/297.04	     , +^#(j(x), 1(y)) -> c_12(0^#(+(x, y)))
783.25/297.04	     , opp^#(0(x)) -> c_14(0^#(opp(x)))
783.25/297.04	     , opp^#(#()) -> c_15()
783.25/297.04	     , *^#(0(x), y) -> c_20(0^#(*(x, y)))
783.25/297.04	     , *^#(#(), x) -> c_21() }
783.25/297.04	   Obligation:
783.25/297.04	     runtime complexity
783.25/297.04	   Answer:
783.25/297.04	     MAYBE
783.25/297.04	   
783.25/297.04	   Empty strict component of the problem is NOT empty.
783.25/297.04	
783.25/297.04	
783.25/297.04	Arrrr..
783.37/297.18	EOF