Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_2,0,Arg_2,Arg_3)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0 && Arg_0<=10
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:10<Arg_0
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,1,Arg_2,Arg_3):|:Arg_0<=10 && 10<=Arg_0 && Arg_0<=0 && 0<=Arg_0
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,0,Arg_2,Arg_3):|:Arg_0<=10 && 10<=Arg_0 && Arg_0<0
7:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,0,Arg_2,Arg_3):|:Arg_0<=10 && 10<=Arg_0 && 0<Arg_0
8:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,1,Arg_2,Arg_3):|:Arg_0<10 && Arg_0<=0 && 0<=Arg_0
9:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,1,Arg_2,Arg_3):|:10<Arg_0 && Arg_0<=0 && 0<=Arg_0
10:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_1,Arg_2,Arg_3):|:Arg_0<10 && Arg_0<0 && Arg_1<=1 && 1<=Arg_1
11:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_1,Arg_2,Arg_3):|:Arg_0<10 && 0<Arg_0 && Arg_1<=1 && 1<=Arg_1
12:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_1,Arg_2,Arg_3):|:10<Arg_0 && Arg_0<0 && Arg_1<=1 && 1<=Arg_1
13:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0+1,Arg_1,Arg_2,Arg_3):|:10<Arg_0 && 0<Arg_0 && Arg_1<=1 && 1<=Arg_1
14:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:Arg_0<10 && Arg_0<0 && Arg_1<1
15:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:Arg_0<10 && Arg_0<0 && 1<Arg_1
16:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:Arg_0<10 && 0<Arg_0 && Arg_1<1
17:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:Arg_0<10 && 0<Arg_0 && 1<Arg_1
18:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:10<Arg_0 && Arg_0<0 && Arg_1<1
19:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:10<Arg_0 && Arg_0<0 && 1<Arg_1
20:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:10<Arg_0 && 0<Arg_0 && Arg_1<1
21:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:10<Arg_0 && 0<Arg_0 && 1<Arg_1
22:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Cut unsatisfiable transition 5: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 6: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 9: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 10: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 12: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 13: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 14: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 15: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 18: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 19: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 20: eval_foo_bb2_in->eval_foo_bb1_in

Cut unsatisfiable transition 21: eval_foo_bb2_in->eval_foo_bb1_in

Eliminate variables {Arg_3} that do not contribute to the problem

Found invariant 0<=Arg_1 for location eval_foo_stop

Found invariant 0<=Arg_1 for location eval_foo_bb3_in

Found invariant 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=10 && 0<=Arg_0 for location eval_foo_bb2_in

Found invariant 0<=Arg_1 for location eval_foo_bb1_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
52:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb1_in(Arg_2,0,Arg_2)
53:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2):|:0<=Arg_1 && 0<=Arg_0 && Arg_0<=10
54:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2):|:0<=Arg_1 && Arg_0<0
55:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2):|:0<=Arg_1 && 10<Arg_0
56:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb1_in(Arg_0-1,0,Arg_2):|:0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=10 && 0<=Arg_0 && Arg_0<=10 && 10<=Arg_0 && 0<Arg_0
57:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb1_in(Arg_0+1,1,Arg_2):|:0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=10 && 0<=Arg_0 && Arg_0<10 && Arg_0<=0 && 0<=Arg_0
58:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb1_in(Arg_0+1,Arg_1,Arg_2):|:0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=10 && 0<=Arg_0 && Arg_0<10 && 0<Arg_0 && Arg_1<=1 && 1<=Arg_1
59:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2):|:0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=10 && 0<=Arg_0 && Arg_0<10 && 0<Arg_0 && Arg_1<1
60:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2):|:0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=10+Arg_1 && Arg_0<=10 && 0<=Arg_0 && Arg_0<10 && 0<Arg_0 && 1<Arg_1
61:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_foo_stop(Arg_0,Arg_1,Arg_2):|:0<=Arg_1
62:eval_foo_start(Arg_0,Arg_1,Arg_2) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
52: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
53: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
54: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
55: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
56: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
57: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
58: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
59: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
60: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
61: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
62: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
52: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
53: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
54: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
55: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
56: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
57: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
58: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
59: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
60: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
61: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
62: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

52: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_2 {O(n)}
52: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: 0 {O(1)}
52: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
53: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: 10 {O(1)}
53: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 2 {O(1)}
53: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
54: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: Arg_2 {O(n)}
54: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: 0 {O(1)}
54: eval_foo_bb1_in->eval_foo_bb3_in, Arg_2: Arg_2 {O(n)}
55: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: Arg_2 {O(n)}
55: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: 0 {O(1)}
55: eval_foo_bb1_in->eval_foo_bb3_in, Arg_2: Arg_2 {O(n)}
56: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 9 {O(1)}
56: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 0 {O(1)}
56: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
57: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 1 {O(1)}
57: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 1 {O(1)}
57: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
58: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 10 {O(1)}
58: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 1 {O(1)}
58: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
59: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 8 {O(1)}
59: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 0 {O(1)}
59: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
60: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 8 {O(1)}
60: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 2 {O(1)}
60: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
61: eval_foo_bb3_in->eval_foo_stop, Arg_0: 2*Arg_2 {O(n)}
61: eval_foo_bb3_in->eval_foo_stop, Arg_1: 0 {O(1)}
61: eval_foo_bb3_in->eval_foo_stop, Arg_2: 2*Arg_2 {O(n)}
62: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
62: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
62: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}