MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: cond_merge_ys_zs_2(False(),Cons(x7,x8),Cons(x5,x6),x4,x3,x2,x1) -> Cons(x2,merge#2(Cons(x7,x8),x1)) cond_merge_ys_zs_2(True(),Cons(x7,x8),Cons(x5,x6),x4,x3,x2,x1) -> Cons(x4,merge#2(x3,Cons(x5,x6))) const_f#2(x3,Cons(x6,Cons(x4,x2))) -> merge#2(x6,x4) dc#1(map(),divisible(),mergesort_zs_3(),divide(),const_f(),Cons(x229,Nil())) -> Cons(x229,Nil()) dc#1(map(),divisible(),mergesort_zs_3(),divide(),const_f(),Cons(x51,Cons(x25,x33))) -> const_f#2(Cons(x51 ,Cons(x25 ,x33)) ,map#2(dc(map() ,divisible() ,mergesort_zs_3() ,divide() ,const_f()) ,divide_ys#1(Cons(x51 ,Cons(x25 ,x33)) ,S(halve#1(length#1(x33)))))) dc#1(map(),divisible(),mergesort_zs_3(),divide(),const_f(),Nil()) -> Nil() divide_ys#1(x2,x1) -> Cons(take#2(x1,x2),Cons(drop#2(x1,x2),Nil())) drop#2(0(),x2) -> x2 drop#2(S(x10),Cons(x56,x64)) -> drop#2(x10,x64) drop#2(S(0()),Nil()) -> bot[1]() halve#1(0()) -> 0() halve#1(S(0())) -> S(0()) halve#1(S(S(x14))) -> S(halve#1(x14)) length#1(Cons(x6,x8)) -> S(length#1(x8)) length#1(Nil()) -> 0() leq#2(0(),x16) -> True() leq#2(S(x20),0()) -> False() leq#2(S(x4),S(x2)) -> leq#2(x4,x2) main(x113) -> dc#1(map(),divisible(),mergesort_zs_3(),divide(),const_f(),x113) map#2(dc(x2,x4,x6,x8,x10),Nil()) -> Nil() map#2(dc(x6,x8,x10,x12,x14),Cons(x4,x2)) -> Cons(dc#1(x6,x8,x10,x12,x14,x4),map#2(dc(x6,x8,x10,x12,x14),x2)) merge#2(Cons(x4,x2),Nil()) -> Cons(x4,x2) merge#2(Cons(x8,x6),Cons(x4,x2)) -> cond_merge_ys_zs_2(leq#2(x8,x4),Cons(x8,x6),Cons(x4,x2),x8,x6,x4,x2) merge#2(Nil(),x2) -> x2 take#2(0(),x2) -> Nil() take#2(S(x22),Cons(x56,x64)) -> Cons(x56,take#2(x22,x64)) take#2(S(0()),Nil()) -> Cons(bot[0](),Nil()) - Signature: {cond_merge_ys_zs_2/7,const_f#2/2,dc#1/6,divide_ys#1/2,drop#2/2,halve#1/1,length#1/1,leq#2/2,main/1,map#2/2 ,merge#2/2,take#2/2} / {0/0,Cons/2,False/0,Nil/0,S/1,True/0,bot[0]/0,bot[1]/0,const_f/0,dc/5,divide/0 ,divisible/0,map/0,mergesort_zs_3/0} - Obligation: innermost runtime complexity wrt. defined symbols {cond_merge_ys_zs_2,const_f#2,dc#1,divide_ys#1,drop#2 ,halve#1,length#1,leq#2,main,map#2,merge#2,take#2} and constructors {0,Cons,False,Nil,S,True,bot[0],bot[1] ,const_f,dc,divide,divisible,map,mergesort_zs_3} + Applied Processor: Ara {heuristics_ = NoHeuristics, minDegree = 1, maxDegree = 3, araTimeout = 60, araFindStrictRules = Nothing, araSmtSolver = MiniSMT} + Details: The input can not be schown compatible. MAYBE