MAYBE * Step 1: Failure MAYBE + Considered Problem: - Strict TRS: cond_scanr_f_z_xs_1(Cons(0(),x11),0()) -> Cons(0(),Cons(0(),x11)) cond_scanr_f_z_xs_1(Cons(0(),x11),M(x2)) -> Cons(0(),Cons(0(),x11)) cond_scanr_f_z_xs_1(Cons(0(),x11),S(x2)) -> Cons(S(x2),Cons(0(),x11)) cond_scanr_f_z_xs_1(Cons(S(x2),x11),0()) -> Cons(S(x2),Cons(S(x2),x11)) cond_scanr_f_z_xs_1(Cons(S(x2),x11),S(x4)) -> Cons(plus#2(S(x4),S(x2)),Cons(S(x2),x11)) cond_scanr_f_z_xs_1(Cons(S(x40),x23),M(0())) -> Cons(S(x40),Cons(S(x40),x23)) cond_scanr_f_z_xs_1(Cons(S(x8),x23),M(S(x4))) -> Cons(minus#2(x8,x4),Cons(S(x8),x23)) foldl#3(x2,Nil()) -> x2 foldl#3(x6,Cons(x4,x2)) -> foldl#3(max#2(x6,x4),x2) main(x1) -> foldl#3(0(),scanr#3(x1)) max#2(0(),x8) -> x8 max#2(S(x12),0()) -> S(x12) max#2(S(x4),S(x2)) -> S(max#2(x4,x2)) minus#2(0(),x16) -> 0() minus#2(S(x20),0()) -> S(x20) minus#2(S(x4),S(x2)) -> minus#2(x4,x2) plus#2(0(),S(x2)) -> S(x2) plus#2(S(x4),S(x2)) -> S(plus#2(x4,S(x2))) scanr#3(Cons(x4,x2)) -> cond_scanr_f_z_xs_1(scanr#3(x2),x4) scanr#3(Nil()) -> Cons(0(),Nil()) - Signature: {cond_scanr_f_z_xs_1/2,foldl#3/2,main/1,max#2/2,minus#2/2,plus#2/2,scanr#3/1} / {0/0,Cons/2,M/1,Nil/0,S/1} - Obligation: innermost runtime complexity wrt. defined symbols {cond_scanr_f_z_xs_1,foldl#3,main,max#2,minus#2,plus#2 ,scanr#3} and constructors {0,Cons,M,Nil,S} + Applied Processor: NaturalPI {shape = Mixed 3, restrict = NoRestrict, uargs = UArgs, urules = URules, selector = Nothing} + Details: Incompatible MAYBE