Initial Problem

Start: f300
Program_Vars: Arg_0, Arg_1
Temp_Vars: C, D
Locations: f1, f2, f300
Transitions:
0:f2(Arg_0,Arg_1) -> f1(C,D):|:C+1<=0 && Arg_0<=14 && 14<=Arg_0
2:f2(Arg_0,Arg_1) -> f1(Arg_0-1,C):|:15<=Arg_0 && Arg_0<=0
3:f2(Arg_0,Arg_1) -> f1(Arg_0-1,C):|:Arg_0<=13 && Arg_0<=0
1:f2(Arg_0,Arg_1) -> f2(C,Arg_1):|:0<=C && Arg_0<=14 && 14<=Arg_0
4:f2(Arg_0,Arg_1) -> f2(Arg_0-1,Arg_1):|:15<=Arg_0 && 1<=Arg_0
5:f2(Arg_0,Arg_1) -> f2(Arg_0-1,Arg_1):|:Arg_0<=13 && 1<=Arg_0
6:f300(Arg_0,Arg_1) -> f2(Arg_0,Arg_1)

Preprocessing

Cut unsatisfiable transition 2: f2->f1

Eliminate variables {D,Arg_1} that do not contribute to the problem

Found invariant 1+Arg_0<=0 for location f1

Problem after Preprocessing

Start: f300
Program_Vars: Arg_0
Temp_Vars: C
Locations: f1, f2, f300
Transitions:
17:f2(Arg_0) -> f1(C):|:C+1<=0 && Arg_0<=14 && 14<=Arg_0
19:f2(Arg_0) -> f1(Arg_0-1):|:Arg_0<=13 && Arg_0<=0
18:f2(Arg_0) -> f2(C):|:0<=C && Arg_0<=14 && 14<=Arg_0
20:f2(Arg_0) -> f2(Arg_0-1):|:15<=Arg_0 && 1<=Arg_0
21:f2(Arg_0) -> f2(Arg_0-1):|:Arg_0<=13 && 1<=Arg_0
22:f300(Arg_0) -> f2(Arg_0)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
17: f2->f1: 1 {O(1)}
18: f2->f2: inf {Infinity}
19: f2->f1: 1 {O(1)}
20: f2->f2: inf {Infinity}
21: f2->f2: inf {Infinity}
22: f300->f2: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
17: f2->f1: 1 {O(1)}
18: f2->f2: inf {Infinity}
19: f2->f1: 1 {O(1)}
20: f2->f2: inf {Infinity}
21: f2->f2: inf {Infinity}
22: f300->f2: 1 {O(1)}

Sizebounds

21: f2->f2, Arg_0: 12 {O(1)}
22: f300->f2, Arg_0: Arg_0 {O(n)}