Initial Problem

Start: n_f3
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars: A_P, B_P, NoDet0
Locations: n_f2___3, n_f2___4, n_f3, n_f300___1, n_f300___2
Transitions:
0:n_f2___3(Arg_0,Arg_1,Arg_2) -> n_f2___3(Arg_0+Arg_1,Arg_1,Arg_2):|:0<=Arg_0 && 0<=Arg_0+Arg_1
1:n_f2___3(Arg_0,Arg_1,Arg_2) -> n_f300___1(A_P,B_P,NoDet0):|:0<=Arg_0 && 1+Arg_0+B_P<=0 && Arg_0+B_P<=A_P && A_P<=Arg_0+B_P && Arg_1<=B_P && B_P<=Arg_1
2:n_f2___4(Arg_0,Arg_1,Arg_2) -> n_f2___3(Arg_0+Arg_1,Arg_1,Arg_2):|:0<=Arg_0+Arg_1
3:n_f2___4(Arg_0,Arg_1,Arg_2) -> n_f300___2(A_P,B_P,NoDet0):|:1+Arg_0+B_P<=0 && Arg_0+B_P<=A_P && A_P<=Arg_0+B_P && Arg_1<=B_P && B_P<=Arg_1
4:n_f3(Arg_0,Arg_1,Arg_2) -> n_f2___4(Arg_0,Arg_1,Arg_2)

Preprocessing

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

Found invariant 1+Arg_1<=0 && Arg_1<=Arg_0 for location n_f300___1

Problem after Preprocessing

Start: n_f3
Program_Vars: Arg_0, Arg_1
Temp_Vars: A_P, B_P
Locations: n_f2___3, n_f2___4, n_f3, n_f300___1, n_f300___2
Transitions:
10:n_f2___3(Arg_0,Arg_1) -> n_f2___3(Arg_0+Arg_1,Arg_1):|:0<=Arg_0 && 0<=Arg_0+Arg_1
11:n_f2___3(Arg_0,Arg_1) -> n_f300___1(A_P,B_P):|:0<=Arg_0 && 1+Arg_0+B_P<=0 && Arg_0+B_P<=A_P && A_P<=Arg_0+B_P && Arg_1<=B_P && B_P<=Arg_1
12:n_f2___4(Arg_0,Arg_1) -> n_f2___3(Arg_0+Arg_1,Arg_1):|:0<=Arg_0+Arg_1
13:n_f2___4(Arg_0,Arg_1) -> n_f300___2(A_P,B_P):|:1+Arg_0+B_P<=0 && Arg_0+B_P<=A_P && A_P<=Arg_0+B_P && Arg_1<=B_P && B_P<=Arg_1
14:n_f3(Arg_0,Arg_1) -> n_f2___4(Arg_0,Arg_1)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
10: n_f2___3->n_f2___3: inf {Infinity}
11: n_f2___3->n_f300___1: 1 {O(1)}
12: n_f2___4->n_f2___3: 1 {O(1)}
13: n_f2___4->n_f300___2: 1 {O(1)}
14: n_f3->n_f2___4: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
10: n_f2___3->n_f2___3: inf {Infinity}
11: n_f2___3->n_f300___1: 1 {O(1)}
12: n_f2___4->n_f2___3: 1 {O(1)}
13: n_f2___4->n_f300___2: 1 {O(1)}
14: n_f3->n_f2___4: 1 {O(1)}

Sizebounds

10: n_f2___3->n_f2___3, Arg_1: Arg_1 {O(n)}
11: n_f2___3->n_f300___1, Arg_1: 2*Arg_1 {O(n)}
12: n_f2___4->n_f2___3, Arg_0: Arg_0+Arg_1 {O(n)}
12: n_f2___4->n_f2___3, Arg_1: Arg_1 {O(n)}
13: n_f2___4->n_f300___2, Arg_1: Arg_1 {O(n)}
14: n_f3->n_f2___4, Arg_0: Arg_0 {O(n)}
14: n_f3->n_f2___4, Arg_1: Arg_1 {O(n)}