Initial Problem
Start: n_f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars: C_P, D_P, NoDet0
Locations: n_f0, n_f3___3, n_f3___4, n_f3___5, n_f6___1, n_f6___2
Transitions:
0:n_f0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___5(0,0,Arg_2,Arg_3,Arg_4)
1:n_f3___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___3(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=1+Arg_2 && Arg_3<=0 && D_P<=0 && 0<=1+C_P && Arg_2<=C_P+2 && 2+C_P<=Arg_2
2:n_f3___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___4(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=1+Arg_2 && Arg_3<=0 && 1<=D_P && 0<=C_P && Arg_2<=C_P+1 && 1+C_P<=Arg_2
3:n_f3___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___2(Arg_0,Arg_1,C_P,Arg_3,NoDet0):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=1+Arg_2 && Arg_3<=0 && C_P<=0 && Arg_2<=C_P && C_P<=Arg_2
4:n_f3___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___3(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=Arg_2 && 1<=Arg_3 && D_P<=0 && 0<=1+C_P && Arg_2<=C_P+2 && 2+C_P<=Arg_2
5:n_f3___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___4(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=Arg_2 && 1<=Arg_3 && 1<=D_P && 0<=C_P && Arg_2<=C_P+1 && 1+C_P<=Arg_2
6:n_f3___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___2(Arg_0,Arg_1,C_P,Arg_3,NoDet0):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=Arg_2 && 1<=Arg_3 && C_P<=0 && Arg_2<=C_P && C_P<=Arg_2
7:n_f3___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___3(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && D_P<=0 && 0<=1+C_P && Arg_2<=C_P+2 && 2+C_P<=Arg_2
8:n_f3___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___4(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1<=D_P && 0<=C_P && Arg_2<=C_P+1 && 1+C_P<=Arg_2
9:n_f3___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___2(Arg_0,Arg_1,C_P,Arg_3,NoDet0):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && C_P<=0 && Arg_2<=C_P && C_P<=Arg_2
10:n_f6___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___1(1,Arg_1,Arg_2,Arg_3,NoDet0):|:Arg_2<=0 && Arg_0<=1 && 1<=Arg_0 && 1<=Arg_4
11:n_f6___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___2(0,Arg_1,Arg_2,Arg_3,NoDet0):|:Arg_2<=0 && Arg_0<=1 && 1<=Arg_0 && Arg_4<=0
12:n_f6___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___1(1,Arg_1,Arg_2,Arg_3,NoDet0):|:Arg_2<=0 && Arg_0<=0 && 0<=Arg_0 && 1<=Arg_4
13:n_f6___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___2(0,Arg_1,Arg_2,Arg_3,NoDet0):|:Arg_2<=0 && Arg_0<=0 && 0<=Arg_0 && Arg_4<=0
Preprocessing
Found invariant 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_f3___4
Found invariant Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_2<=Arg_0 && Arg_0+Arg_2<=0 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_f6___2
Found invariant Arg_3<=0 && Arg_3<=1+Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && Arg_0+Arg_3<=0 && 0<=1+Arg_2 && 0<=1+Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_f3___3
Found invariant Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && Arg_1<=0 && 1+Arg_1<=Arg_0 && Arg_0+Arg_1<=1 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && Arg_0<=1 && 1<=Arg_0 for location n_f6___1
Found invariant Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 for location n_f3___5
Problem after Preprocessing
Start: n_f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars: C_P, D_P, NoDet0
Locations: n_f0, n_f3___3, n_f3___4, n_f3___5, n_f6___1, n_f6___2
Transitions:
0:n_f0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___5(0,0,Arg_2,Arg_3,Arg_4)
1:n_f3___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___3(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_3<=0 && Arg_3<=1+Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && Arg_0+Arg_3<=0 && 0<=1+Arg_2 && 0<=1+Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=1+Arg_2 && Arg_3<=0 && D_P<=0 && 0<=1+C_P && Arg_2<=C_P+2 && 2+C_P<=Arg_2
2:n_f3___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___4(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_3<=0 && Arg_3<=1+Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && Arg_0+Arg_3<=0 && 0<=1+Arg_2 && 0<=1+Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=1+Arg_2 && Arg_3<=0 && 1<=D_P && 0<=C_P && Arg_2<=C_P+1 && 1+C_P<=Arg_2
3:n_f3___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___2(Arg_0,Arg_1,C_P,Arg_3,NoDet0):|:Arg_3<=0 && Arg_3<=1+Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && Arg_0+Arg_3<=0 && 0<=1+Arg_2 && 0<=1+Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=1+Arg_2 && Arg_3<=0 && C_P<=0 && Arg_2<=C_P && C_P<=Arg_2
4:n_f3___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___3(Arg_0,Arg_1,C_P,D_P,Arg_4):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=Arg_2 && 1<=Arg_3 && D_P<=0 && 0<=1+C_P && Arg_2<=C_P+2 && 2+C_P<=Arg_2
5:n_f3___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___4(Arg_0,Arg_1,C_P,D_P,Arg_4):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=Arg_2 && 1<=Arg_3 && 1<=D_P && 0<=C_P && Arg_2<=C_P+1 && 1+C_P<=Arg_2
6:n_f3___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___2(Arg_0,Arg_1,C_P,Arg_3,NoDet0):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=Arg_2 && 1<=Arg_3 && C_P<=0 && Arg_2<=C_P && C_P<=Arg_2
7:n_f3___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___3(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && D_P<=0 && 0<=1+C_P && Arg_2<=C_P+2 && 2+C_P<=Arg_2
8:n_f3___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___4(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 1<=D_P && 0<=C_P && Arg_2<=C_P+1 && 1+C_P<=Arg_2
9:n_f3___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___2(Arg_0,Arg_1,C_P,Arg_3,NoDet0):|:Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && C_P<=0 && Arg_2<=C_P && C_P<=Arg_2
10:n_f6___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___1(1,Arg_1,Arg_2,Arg_3,NoDet0):|:Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && Arg_1<=0 && 1+Arg_1<=Arg_0 && Arg_0+Arg_1<=1 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_2<=0 && Arg_0<=1 && 1<=Arg_0 && 1<=Arg_4
11:n_f6___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___2(0,Arg_1,Arg_2,Arg_3,NoDet0):|:Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && 1+Arg_2<=Arg_0 && Arg_0+Arg_2<=1 && Arg_1<=0 && 1+Arg_1<=Arg_0 && Arg_0+Arg_1<=1 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=1+Arg_1 && Arg_0<=1 && 1<=Arg_0 && Arg_2<=0 && Arg_0<=1 && 1<=Arg_0 && Arg_4<=0
12:n_f6___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___1(1,Arg_1,Arg_2,Arg_3,NoDet0):|:Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_2<=Arg_0 && Arg_0+Arg_2<=0 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=0 && Arg_0<=0 && 0<=Arg_0 && 1<=Arg_4
13:n_f6___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f6___2(0,Arg_1,Arg_2,Arg_3,NoDet0):|:Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_2<=Arg_0 && Arg_0+Arg_2<=0 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_2<=0 && Arg_0<=0 && 0<=Arg_0 && Arg_4<=0
MPRF for transition 1:n_f3___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___3(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_3<=0 && Arg_3<=1+Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && Arg_0+Arg_3<=0 && 0<=1+Arg_2 && 0<=1+Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=1+Arg_2 && Arg_3<=0 && D_P<=0 && 0<=1+C_P && Arg_2<=C_P+2 && 2+C_P<=Arg_2 of depth 1:
new bound:
2*Arg_2+2 {O(n)}
MPRF:
n_f3___3 [Arg_2+2 ]
n_f3___4 [Arg_2 ]
MPRF for transition 2:n_f3___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___4(Arg_0,Arg_1,C_P,D_P,Arg_4):|:Arg_3<=0 && Arg_3<=1+Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_3<=Arg_0 && Arg_0+Arg_3<=0 && 0<=1+Arg_2 && 0<=1+Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 0<=1+Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=1+Arg_2 && Arg_3<=0 && 1<=D_P && 0<=C_P && Arg_2<=C_P+1 && 1+C_P<=Arg_2 of depth 1:
new bound:
2*Arg_2+2 {O(n)}
MPRF:
n_f3___3 [Arg_2+2 ]
n_f3___4 [Arg_2 ]
MPRF for transition 4:n_f3___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___3(Arg_0,Arg_1,C_P,D_P,Arg_4):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=Arg_2 && 1<=Arg_3 && D_P<=0 && 0<=1+C_P && Arg_2<=C_P+2 && 2+C_P<=Arg_2 of depth 1:
new bound:
2*Arg_2+1 {O(n)}
MPRF:
n_f3___3 [Arg_2 ]
n_f3___4 [Arg_2+1 ]
MPRF for transition 5:n_f3___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_f3___4(Arg_0,Arg_1,C_P,D_P,Arg_4):|:1<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1+Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_1<=Arg_0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0 && 0<=Arg_2 && 1<=Arg_3 && 1<=D_P && 0<=C_P && Arg_2<=C_P+1 && 1+C_P<=Arg_2 of depth 1:
new bound:
2*Arg_2+1 {O(n)}
MPRF:
n_f3___3 [Arg_2 ]
n_f3___4 [Arg_2+1 ]
All Bounds
Timebounds
Overall timebound:inf {Infinity}
0: n_f0->n_f3___5: 1 {O(1)}
1: n_f3___3->n_f3___3: 2*Arg_2+2 {O(n)}
2: n_f3___3->n_f3___4: 2*Arg_2+2 {O(n)}
3: n_f3___3->n_f6___2: 1 {O(1)}
4: n_f3___4->n_f3___3: 2*Arg_2+1 {O(n)}
5: n_f3___4->n_f3___4: 2*Arg_2+1 {O(n)}
6: n_f3___4->n_f6___2: 1 {O(1)}
7: n_f3___5->n_f3___3: 1 {O(1)}
8: n_f3___5->n_f3___4: 1 {O(1)}
9: n_f3___5->n_f6___2: 1 {O(1)}
10: n_f6___1->n_f6___1: inf {Infinity}
11: n_f6___1->n_f6___2: inf {Infinity}
12: n_f6___2->n_f6___1: inf {Infinity}
13: n_f6___2->n_f6___2: inf {Infinity}
Costbounds
Overall costbound: inf {Infinity}
0: n_f0->n_f3___5: 1 {O(1)}
1: n_f3___3->n_f3___3: 2*Arg_2+2 {O(n)}
2: n_f3___3->n_f3___4: 2*Arg_2+2 {O(n)}
3: n_f3___3->n_f6___2: 1 {O(1)}
4: n_f3___4->n_f3___3: 2*Arg_2+1 {O(n)}
5: n_f3___4->n_f3___4: 2*Arg_2+1 {O(n)}
6: n_f3___4->n_f6___2: 1 {O(1)}
7: n_f3___5->n_f3___3: 1 {O(1)}
8: n_f3___5->n_f3___4: 1 {O(1)}
9: n_f3___5->n_f6___2: 1 {O(1)}
10: n_f6___1->n_f6___1: inf {Infinity}
11: n_f6___1->n_f6___2: inf {Infinity}
12: n_f6___2->n_f6___1: inf {Infinity}
13: n_f6___2->n_f6___2: inf {Infinity}
Sizebounds
0: n_f0->n_f3___5, Arg_0: 0 {O(1)}
0: n_f0->n_f3___5, Arg_1: 0 {O(1)}
0: n_f0->n_f3___5, Arg_2: Arg_2 {O(n)}
0: n_f0->n_f3___5, Arg_3: Arg_3 {O(n)}
0: n_f0->n_f3___5, Arg_4: Arg_4 {O(n)}
1: n_f3___3->n_f3___3, Arg_0: 0 {O(1)}
1: n_f3___3->n_f3___3, Arg_1: 0 {O(1)}
1: n_f3___3->n_f3___3, Arg_2: 4*Arg_2 {O(n)}
1: n_f3___3->n_f3___3, Arg_4: 4*Arg_4 {O(n)}
2: n_f3___3->n_f3___4, Arg_0: 0 {O(1)}
2: n_f3___3->n_f3___4, Arg_1: 0 {O(1)}
2: n_f3___3->n_f3___4, Arg_2: 4*Arg_2 {O(n)}
2: n_f3___3->n_f3___4, Arg_4: 4*Arg_4 {O(n)}
3: n_f3___3->n_f6___2, Arg_0: 0 {O(1)}
3: n_f3___3->n_f6___2, Arg_1: 0 {O(1)}
3: n_f3___3->n_f6___2, Arg_2: 1 {O(1)}
4: n_f3___4->n_f3___3, Arg_0: 0 {O(1)}
4: n_f3___4->n_f3___3, Arg_1: 0 {O(1)}
4: n_f3___4->n_f3___3, Arg_2: 4*Arg_2 {O(n)}
4: n_f3___4->n_f3___3, Arg_4: 4*Arg_4 {O(n)}
5: n_f3___4->n_f3___4, Arg_0: 0 {O(1)}
5: n_f3___4->n_f3___4, Arg_1: 0 {O(1)}
5: n_f3___4->n_f3___4, Arg_2: 4*Arg_2 {O(n)}
5: n_f3___4->n_f3___4, Arg_4: 4*Arg_4 {O(n)}
6: n_f3___4->n_f6___2, Arg_0: 0 {O(1)}
6: n_f3___4->n_f6___2, Arg_1: 0 {O(1)}
6: n_f3___4->n_f6___2, Arg_2: 0 {O(1)}
7: n_f3___5->n_f3___3, Arg_0: 0 {O(1)}
7: n_f3___5->n_f3___3, Arg_1: 0 {O(1)}
7: n_f3___5->n_f3___3, Arg_2: Arg_2 {O(n)}
7: n_f3___5->n_f3___3, Arg_4: Arg_4 {O(n)}
8: n_f3___5->n_f3___4, Arg_0: 0 {O(1)}
8: n_f3___5->n_f3___4, Arg_1: 0 {O(1)}
8: n_f3___5->n_f3___4, Arg_2: Arg_2 {O(n)}
8: n_f3___5->n_f3___4, Arg_4: Arg_4 {O(n)}
9: n_f3___5->n_f6___2, Arg_0: 0 {O(1)}
9: n_f3___5->n_f6___2, Arg_1: 0 {O(1)}
9: n_f3___5->n_f6___2, Arg_2: Arg_2 {O(n)}
9: n_f3___5->n_f6___2, Arg_3: Arg_3 {O(n)}
10: n_f6___1->n_f6___1, Arg_0: 1 {O(1)}
10: n_f6___1->n_f6___1, Arg_1: 0 {O(1)}
10: n_f6___1->n_f6___1, Arg_2: 2*Arg_2+2 {O(n)}
11: n_f6___1->n_f6___2, Arg_0: 0 {O(1)}
11: n_f6___1->n_f6___2, Arg_1: 0 {O(1)}
11: n_f6___1->n_f6___2, Arg_2: 2*Arg_2+2 {O(n)}
12: n_f6___2->n_f6___1, Arg_0: 1 {O(1)}
12: n_f6___2->n_f6___1, Arg_1: 0 {O(1)}
12: n_f6___2->n_f6___1, Arg_2: 2*Arg_2+2 {O(n)}
13: n_f6___2->n_f6___2, Arg_0: 0 {O(1)}
13: n_f6___2->n_f6___2, Arg_1: 0 {O(1)}
13: n_f6___2->n_f6___2, Arg_2: 2*Arg_2+2 {O(n)}