MAYBE
769.97/297.17	MAYBE
769.97/297.17	
769.97/297.17	We are left with following problem, upon which TcT provides the
769.97/297.17	certificate MAYBE.
769.97/297.17	
769.97/297.17	Strict Trs:
769.97/297.17	  { active(zeros()) -> mark(cons(0(), zeros()))
769.97/297.17	  , active(cons(X1, X2)) -> cons(active(X1), X2)
769.97/297.17	  , active(U11(X)) -> U11(active(X))
769.97/297.17	  , active(U11(tt())) -> mark(tt())
769.97/297.17	  , active(U21(X)) -> U21(active(X))
769.97/297.17	  , active(U21(tt())) -> mark(tt())
769.97/297.17	  , active(U31(X)) -> U31(active(X))
769.97/297.17	  , active(U31(tt())) -> mark(tt())
769.97/297.17	  , active(U41(X1, X2)) -> U41(active(X1), X2)
769.97/297.17	  , active(U41(tt(), V2)) -> mark(U42(isNatIList(V2)))
769.97/297.17	  , active(U42(X)) -> U42(active(X))
769.97/297.17	  , active(U42(tt())) -> mark(tt())
769.97/297.17	  , active(isNatIList(V)) -> mark(U31(isNatList(V)))
769.97/297.17	  , active(isNatIList(zeros())) -> mark(tt())
769.97/297.17	  , active(isNatIList(cons(V1, V2))) -> mark(U41(isNat(V1), V2))
769.97/297.17	  , active(U51(X1, X2)) -> U51(active(X1), X2)
769.97/297.17	  , active(U51(tt(), V2)) -> mark(U52(isNatList(V2)))
769.97/297.17	  , active(U52(X)) -> U52(active(X))
769.97/297.17	  , active(U52(tt())) -> mark(tt())
769.97/297.17	  , active(isNatList(cons(V1, V2))) -> mark(U51(isNat(V1), V2))
769.97/297.17	  , active(isNatList(nil())) -> mark(tt())
769.97/297.17	  , active(isNatList(take(V1, V2))) -> mark(U61(isNat(V1), V2))
769.97/297.17	  , active(U61(X1, X2)) -> U61(active(X1), X2)
769.97/297.17	  , active(U61(tt(), V2)) -> mark(U62(isNatIList(V2)))
769.97/297.17	  , active(U62(X)) -> U62(active(X))
769.97/297.17	  , active(U62(tt())) -> mark(tt())
769.97/297.17	  , active(U71(X1, X2, X3)) -> U71(active(X1), X2, X3)
769.97/297.17	  , active(U71(tt(), L, N)) -> mark(U72(isNat(N), L))
769.97/297.17	  , active(U72(X1, X2)) -> U72(active(X1), X2)
769.97/297.17	  , active(U72(tt(), L)) -> mark(s(length(L)))
769.97/297.17	  , active(isNat(0())) -> mark(tt())
769.97/297.17	  , active(isNat(s(V1))) -> mark(U21(isNat(V1)))
769.97/297.17	  , active(isNat(length(V1))) -> mark(U11(isNatList(V1)))
769.97/297.17	  , active(s(X)) -> s(active(X))
769.97/297.17	  , active(length(X)) -> length(active(X))
769.97/297.17	  , active(length(cons(N, L))) -> mark(U71(isNatList(L), L, N))
769.97/297.17	  , active(length(nil())) -> mark(0())
769.97/297.17	  , active(U81(X)) -> U81(active(X))
769.97/297.17	  , active(U81(tt())) -> mark(nil())
769.97/297.17	  , active(U91(X1, X2, X3, X4)) -> U91(active(X1), X2, X3, X4)
769.97/297.17	  , active(U91(tt(), IL, M, N)) -> mark(U92(isNat(M), IL, M, N))
769.97/297.17	  , active(U92(X1, X2, X3, X4)) -> U92(active(X1), X2, X3, X4)
769.97/297.17	  , active(U92(tt(), IL, M, N)) -> mark(U93(isNat(N), IL, M, N))
769.97/297.17	  , active(U93(X1, X2, X3, X4)) -> U93(active(X1), X2, X3, X4)
769.97/297.17	  , active(U93(tt(), IL, M, N)) -> mark(cons(N, take(M, IL)))
769.97/297.17	  , active(take(X1, X2)) -> take(X1, active(X2))
769.97/297.17	  , active(take(X1, X2)) -> take(active(X1), X2)
769.97/297.17	  , active(take(0(), IL)) -> mark(U81(isNatIList(IL)))
769.97/297.17	  , active(take(s(M), cons(N, IL))) ->
769.97/297.17	    mark(U91(isNatIList(IL), IL, M, N))
769.97/297.17	  , cons(mark(X1), X2) -> mark(cons(X1, X2))
769.97/297.17	  , cons(ok(X1), ok(X2)) -> ok(cons(X1, X2))
769.97/297.17	  , U11(mark(X)) -> mark(U11(X))
769.97/297.17	  , U11(ok(X)) -> ok(U11(X))
769.97/297.17	  , U21(mark(X)) -> mark(U21(X))
769.97/297.17	  , U21(ok(X)) -> ok(U21(X))
769.97/297.17	  , U31(mark(X)) -> mark(U31(X))
769.97/297.17	  , U31(ok(X)) -> ok(U31(X))
769.97/297.17	  , U41(mark(X1), X2) -> mark(U41(X1, X2))
769.97/297.17	  , U41(ok(X1), ok(X2)) -> ok(U41(X1, X2))
769.97/297.17	  , U42(mark(X)) -> mark(U42(X))
769.97/297.17	  , U42(ok(X)) -> ok(U42(X))
769.97/297.17	  , isNatIList(ok(X)) -> ok(isNatIList(X))
769.97/297.17	  , U51(mark(X1), X2) -> mark(U51(X1, X2))
769.97/297.17	  , U51(ok(X1), ok(X2)) -> ok(U51(X1, X2))
769.97/297.17	  , U52(mark(X)) -> mark(U52(X))
769.97/297.17	  , U52(ok(X)) -> ok(U52(X))
769.97/297.17	  , isNatList(ok(X)) -> ok(isNatList(X))
769.97/297.17	  , U61(mark(X1), X2) -> mark(U61(X1, X2))
769.97/297.17	  , U61(ok(X1), ok(X2)) -> ok(U61(X1, X2))
769.97/297.17	  , U62(mark(X)) -> mark(U62(X))
769.97/297.17	  , U62(ok(X)) -> ok(U62(X))
769.97/297.17	  , U71(mark(X1), X2, X3) -> mark(U71(X1, X2, X3))
769.97/297.17	  , U71(ok(X1), ok(X2), ok(X3)) -> ok(U71(X1, X2, X3))
769.97/297.17	  , U72(mark(X1), X2) -> mark(U72(X1, X2))
769.97/297.17	  , U72(ok(X1), ok(X2)) -> ok(U72(X1, X2))
769.97/297.17	  , isNat(ok(X)) -> ok(isNat(X))
769.97/297.17	  , s(mark(X)) -> mark(s(X))
769.97/297.17	  , s(ok(X)) -> ok(s(X))
769.97/297.17	  , length(mark(X)) -> mark(length(X))
769.97/297.17	  , length(ok(X)) -> ok(length(X))
769.97/297.17	  , U81(mark(X)) -> mark(U81(X))
769.97/297.17	  , U81(ok(X)) -> ok(U81(X))
769.97/297.17	  , U91(mark(X1), X2, X3, X4) -> mark(U91(X1, X2, X3, X4))
769.97/297.17	  , U91(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U91(X1, X2, X3, X4))
769.97/297.17	  , U92(mark(X1), X2, X3, X4) -> mark(U92(X1, X2, X3, X4))
769.97/297.17	  , U92(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U92(X1, X2, X3, X4))
769.97/297.17	  , U93(mark(X1), X2, X3, X4) -> mark(U93(X1, X2, X3, X4))
769.97/297.17	  , U93(ok(X1), ok(X2), ok(X3), ok(X4)) -> ok(U93(X1, X2, X3, X4))
769.97/297.17	  , take(X1, mark(X2)) -> mark(take(X1, X2))
769.97/297.17	  , take(mark(X1), X2) -> mark(take(X1, X2))
769.97/297.17	  , take(ok(X1), ok(X2)) -> ok(take(X1, X2))
769.97/297.17	  , proper(zeros()) -> ok(zeros())
769.97/297.17	  , proper(cons(X1, X2)) -> cons(proper(X1), proper(X2))
769.97/297.17	  , proper(0()) -> ok(0())
769.97/297.17	  , proper(U11(X)) -> U11(proper(X))
769.97/297.17	  , proper(tt()) -> ok(tt())
769.97/297.17	  , proper(U21(X)) -> U21(proper(X))
769.97/297.17	  , proper(U31(X)) -> U31(proper(X))
769.97/297.17	  , proper(U41(X1, X2)) -> U41(proper(X1), proper(X2))
769.97/297.17	  , proper(U42(X)) -> U42(proper(X))
769.97/297.17	  , proper(isNatIList(X)) -> isNatIList(proper(X))
769.97/297.17	  , proper(U51(X1, X2)) -> U51(proper(X1), proper(X2))
769.97/297.17	  , proper(U52(X)) -> U52(proper(X))
769.97/297.17	  , proper(isNatList(X)) -> isNatList(proper(X))
769.97/297.17	  , proper(U61(X1, X2)) -> U61(proper(X1), proper(X2))
769.97/297.17	  , proper(U62(X)) -> U62(proper(X))
769.97/297.17	  , proper(U71(X1, X2, X3)) ->
769.97/297.17	    U71(proper(X1), proper(X2), proper(X3))
769.97/297.17	  , proper(U72(X1, X2)) -> U72(proper(X1), proper(X2))
769.97/297.17	  , proper(isNat(X)) -> isNat(proper(X))
769.97/297.17	  , proper(s(X)) -> s(proper(X))
769.97/297.17	  , proper(length(X)) -> length(proper(X))
769.97/297.17	  , proper(U81(X)) -> U81(proper(X))
769.97/297.17	  , proper(nil()) -> ok(nil())
769.97/297.17	  , proper(U91(X1, X2, X3, X4)) ->
769.97/297.17	    U91(proper(X1), proper(X2), proper(X3), proper(X4))
769.97/297.17	  , proper(U92(X1, X2, X3, X4)) ->
769.97/297.17	    U92(proper(X1), proper(X2), proper(X3), proper(X4))
769.97/297.17	  , proper(U93(X1, X2, X3, X4)) ->
769.97/297.17	    U93(proper(X1), proper(X2), proper(X3), proper(X4))
769.97/297.17	  , proper(take(X1, X2)) -> take(proper(X1), proper(X2))
769.97/297.17	  , top(mark(X)) -> top(proper(X))
769.97/297.17	  , top(ok(X)) -> top(active(X)) }
769.97/297.17	Obligation:
769.97/297.17	  innermost runtime complexity
769.97/297.17	Answer:
769.97/297.17	  MAYBE
769.97/297.17	
769.97/297.17	None of the processors succeeded.
769.97/297.17	
769.97/297.17	Details of failed attempt(s):
769.97/297.17	-----------------------------
769.97/297.17	1) 'empty' failed due to the following reason:
769.97/297.17	   
769.97/297.17	   Empty strict component of the problem is NOT empty.
769.97/297.17	
769.97/297.17	2) 'Best' failed due to the following reason:
769.97/297.17	   
769.97/297.17	   None of the processors succeeded.
769.97/297.17	   
769.97/297.17	   Details of failed attempt(s):
769.97/297.17	   -----------------------------
769.97/297.17	   1) 'With Problem ... (timeout of 297 seconds)' failed due to the
769.97/297.17	      following reason:
769.97/297.17	      
769.97/297.17	      Computation stopped due to timeout after 297.0 seconds.
769.97/297.17	   
769.97/297.17	   2) 'Best' failed due to the following reason:
769.97/297.17	      
769.97/297.17	      None of the processors succeeded.
769.97/297.17	      
769.97/297.17	      Details of failed attempt(s):
769.97/297.17	      -----------------------------
769.97/297.17	      1) 'With Problem ... (timeout of 148 seconds) (timeout of 297
769.97/297.17	         seconds)' failed due to the following reason:
769.97/297.17	         
769.97/297.17	         Computation stopped due to timeout after 148.0 seconds.
769.97/297.17	      
769.97/297.17	      2) 'Best' failed due to the following reason:
769.97/297.17	         
769.97/297.17	         None of the processors succeeded.
769.97/297.17	         
769.97/297.17	         Details of failed attempt(s):
769.97/297.17	         -----------------------------
769.97/297.17	         1) 'Polynomial Path Order (PS) (timeout of 297 seconds)' failed due
769.97/297.17	            to the following reason:
769.97/297.17	            
769.97/297.17	            The input cannot be shown compatible
769.97/297.17	         
769.97/297.17	         2) 'bsearch-popstar (timeout of 297 seconds)' failed due to the
769.97/297.17	            following reason:
769.97/297.17	            
769.97/297.17	            The input cannot be shown compatible
769.97/297.17	         
769.97/297.17	      
769.97/297.17	      3) 'Fastest (timeout of 24 seconds) (timeout of 297 seconds)'
769.97/297.17	         failed due to the following reason:
769.97/297.17	         
769.97/297.17	         None of the processors succeeded.
769.97/297.17	         
769.97/297.17	         Details of failed attempt(s):
769.97/297.17	         -----------------------------
769.97/297.17	         1) 'Bounds with minimal-enrichment and initial automaton 'match''
769.97/297.17	            failed due to the following reason:
769.97/297.17	            
769.97/297.17	            match-boundness of the problem could not be verified.
769.97/297.17	         
769.97/297.17	         2) 'Bounds with perSymbol-enrichment and initial automaton 'match''
769.97/297.17	            failed due to the following reason:
769.97/297.17	            
769.97/297.17	            match-boundness of the problem could not be verified.
769.97/297.17	         
769.97/297.17	      
769.97/297.17	   
769.97/297.17	
769.97/297.17	
769.97/297.17	Arrrr..
770.09/297.27	EOF