Initial Problem

Start: n_f0
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars: NoDet0
Locations: n_f0, n_f16___1, n_f16___3, n_f5___2, n_f5___4
Transitions:
0:n_f0(Arg_0,Arg_1,Arg_2) -> n_f5___4(0,0,Arg_2)
1:n_f5___2(Arg_0,Arg_1,Arg_2) -> n_f16___1(Arg_0,Arg_1,Arg_2)
2:n_f5___2(Arg_0,Arg_1,Arg_2) -> n_f5___2(Arg_0+1,Arg_1+2,NoDet0)
3:n_f5___4(Arg_0,Arg_1,Arg_2) -> n_f16___3(Arg_0,Arg_1,Arg_2):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0
4:n_f5___4(Arg_0,Arg_1,Arg_2) -> n_f5___2(Arg_0+1,Arg_1+2,NoDet0):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_0

Preprocessing

Eliminate variables {NoDet0,Arg_2} that do not contribute to the problem

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_f16___3

Found invariant 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_f16___1

Found invariant 2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0 for location n_f5___2

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_f5___4

Problem after Preprocessing

Start: n_f0
Program_Vars: Arg_0, Arg_1
Temp_Vars:
Locations: n_f0, n_f16___1, n_f16___3, n_f5___2, n_f5___4
Transitions:
10:n_f0(Arg_0,Arg_1) -> n_f5___4(0,0)
11:n_f5___2(Arg_0,Arg_1) -> n_f16___1(Arg_0,Arg_1):|:2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
12:n_f5___2(Arg_0,Arg_1) -> n_f5___2(Arg_0+1,Arg_1+2):|:2<=Arg_1 && 3<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1<=Arg_0
13:n_f5___4(Arg_0,Arg_1) -> n_f16___3(Arg_0,Arg_1):|: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
14:n_f5___4(Arg_0,Arg_1) -> n_f5___2(Arg_0+1,Arg_1+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

All Bounds

Timebounds

Overall timebound:inf {Infinity}
10: n_f0->n_f5___4: 1 {O(1)}
11: n_f5___2->n_f16___1: 1 {O(1)}
12: n_f5___2->n_f5___2: inf {Infinity}
13: n_f5___4->n_f16___3: 1 {O(1)}
14: n_f5___4->n_f5___2: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
10: n_f0->n_f5___4: 1 {O(1)}
11: n_f5___2->n_f16___1: 1 {O(1)}
12: n_f5___2->n_f5___2: inf {Infinity}
13: n_f5___4->n_f16___3: 1 {O(1)}
14: n_f5___4->n_f5___2: 1 {O(1)}

Sizebounds

10: n_f0->n_f5___4, Arg_0: 0 {O(1)}
10: n_f0->n_f5___4, Arg_1: 0 {O(1)}
13: n_f5___4->n_f16___3, Arg_0: 0 {O(1)}
13: n_f5___4->n_f16___3, Arg_1: 0 {O(1)}
14: n_f5___4->n_f5___2, Arg_0: 1 {O(1)}
14: n_f5___4->n_f5___2, Arg_1: 2 {O(1)}