Initial Problem

Start: n_f0
Program_Vars: Arg_0
Temp_Vars:
Locations: n_f0, n_f11___1, n_f3___2, n_f3___3, n_f3___4
Transitions:
0:n_f0(Arg_0) -> n_f3___4(0)
1:n_f3___2(Arg_0) -> n_f11___1(Arg_0):|:Arg_0<=10 && 10<=Arg_0
2:n_f3___2(Arg_0) -> n_f11___1(Arg_0):|:Arg_0<=10 && 10<=Arg_0
3:n_f3___2(Arg_0) -> n_f3___2(Arg_0+1):|:Arg_0<=10 && Arg_0<=9
4:n_f3___3(Arg_0) -> n_f3___2(Arg_0+1):|:Arg_0<=9 && Arg_0<=9 && Arg_0<=10 && Arg_0<=9
5:n_f3___4(Arg_0) -> n_f3___3(Arg_0+1):|:Arg_0<=9 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=9 && Arg_0<=10 && Arg_0<=9

Preprocessing

Found invariant Arg_0<=10 && 2<=Arg_0 for location n_f3___2

Found invariant Arg_0<=0 && 0<=Arg_0 for location n_f3___4

Found invariant Arg_0<=10 && 10<=Arg_0 for location n_f11___1

Found invariant Arg_0<=1 && 1<=Arg_0 for location n_f3___3

Problem after Preprocessing

Start: n_f0
Program_Vars: Arg_0
Temp_Vars:
Locations: n_f0, n_f11___1, n_f3___2, n_f3___3, n_f3___4
Transitions:
0:n_f0(Arg_0) -> n_f3___4(0)
1:n_f3___2(Arg_0) -> n_f11___1(Arg_0):|:Arg_0<=10 && 2<=Arg_0 && Arg_0<=10 && 10<=Arg_0
2:n_f3___2(Arg_0) -> n_f11___1(Arg_0):|:Arg_0<=10 && 2<=Arg_0 && Arg_0<=10 && 10<=Arg_0
3:n_f3___2(Arg_0) -> n_f3___2(Arg_0+1):|:Arg_0<=10 && 2<=Arg_0 && Arg_0<=10 && Arg_0<=9
4:n_f3___3(Arg_0) -> n_f3___2(Arg_0+1):|:Arg_0<=1 && 1<=Arg_0 && Arg_0<=9 && Arg_0<=9 && Arg_0<=10 && Arg_0<=9
5:n_f3___4(Arg_0) -> n_f3___3(Arg_0+1):|:Arg_0<=0 && 0<=Arg_0 && Arg_0<=9 && Arg_0<=0 && 0<=Arg_0 && Arg_0<=9 && Arg_0<=10 && Arg_0<=9

MPRF for transition 3:n_f3___2(Arg_0) -> n_f3___2(Arg_0+1):|:Arg_0<=10 && 2<=Arg_0 && Arg_0<=10 && Arg_0<=9 of depth 1:

new bound:

13 {O(1)}

MPRF:

n_f3___2 [11-Arg_0 ]

All Bounds

Timebounds

Overall timebound:18 {O(1)}
0: n_f0->n_f3___4: 1 {O(1)}
1: n_f3___2->n_f11___1: 1 {O(1)}
2: n_f3___2->n_f11___1: 1 {O(1)}
3: n_f3___2->n_f3___2: 13 {O(1)}
4: n_f3___3->n_f3___2: 1 {O(1)}
5: n_f3___4->n_f3___3: 1 {O(1)}

Costbounds

Overall costbound: 18 {O(1)}
0: n_f0->n_f3___4: 1 {O(1)}
1: n_f3___2->n_f11___1: 1 {O(1)}
2: n_f3___2->n_f11___1: 1 {O(1)}
3: n_f3___2->n_f3___2: 13 {O(1)}
4: n_f3___3->n_f3___2: 1 {O(1)}
5: n_f3___4->n_f3___3: 1 {O(1)}

Sizebounds

0: n_f0->n_f3___4, Arg_0: 0 {O(1)}
1: n_f3___2->n_f11___1, Arg_0: 10 {O(1)}
2: n_f3___2->n_f11___1, Arg_0: 10 {O(1)}
3: n_f3___2->n_f3___2, Arg_0: 10 {O(1)}
4: n_f3___3->n_f3___2, Arg_0: 2 {O(1)}
5: n_f3___4->n_f3___3, Arg_0: 1 {O(1)}