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):|:10<=Arg_0 && Arg_0<=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):|:10<=Arg_0 && 0<Arg_0
7: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
8: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
9: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
10: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

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:
27:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2) -> eval_foo_bb1_in(Arg_2,0,Arg_2)
28: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
29: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
30: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
31: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 && 10<=Arg_0 && 0<Arg_0
32: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
33: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
34: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
35:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2) -> eval_foo_stop(Arg_0,Arg_1,Arg_2):|:0<=Arg_1
36: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}
27: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
28: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
29: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
30: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
31: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
32: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
33: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
34: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
35: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
36: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
27: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
28: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
29: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
30: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
31: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
32: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
33: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
34: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
35: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
36: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

27: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_2 {O(n)}
27: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: 0 {O(1)}
27: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
28: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: 10 {O(1)}
28: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 1 {O(1)}
28: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
29: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: Arg_2 {O(n)}
29: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: 0 {O(1)}
29: eval_foo_bb1_in->eval_foo_bb3_in, Arg_2: Arg_2 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in, Arg_0: Arg_2 {O(n)}
30: eval_foo_bb1_in->eval_foo_bb3_in, Arg_1: 0 {O(1)}
30: eval_foo_bb1_in->eval_foo_bb3_in, Arg_2: Arg_2 {O(n)}
31: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 9 {O(1)}
31: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 0 {O(1)}
31: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
32: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 1 {O(1)}
32: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 1 {O(1)}
32: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
33: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 10 {O(1)}
33: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 1 {O(1)}
33: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
34: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: 8 {O(1)}
34: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: 0 {O(1)}
34: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
35: eval_foo_bb3_in->eval_foo_stop, Arg_0: 2*Arg_2 {O(n)}
35: eval_foo_bb3_in->eval_foo_stop, Arg_1: 0 {O(1)}
35: eval_foo_bb3_in->eval_foo_stop, Arg_2: 2*Arg_2 {O(n)}
36: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
36: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
36: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}