Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_start, eval_foo_stop
Transitions:
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_2,Arg_3,Arg_2,Arg_3,Arg_4)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<Arg_0 && 0<Arg_1
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<=0
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_3,Arg_4):|:Arg_0<Arg_1
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<=Arg_0
7:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4):|:Arg_1<Arg_0 && Arg_1<Arg_0
8:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_0-1,Arg_0,Arg_2,Arg_3,Arg_4):|:Arg_1<Arg_0 && Arg_0<=Arg_1
9:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=Arg_1 && Arg_1<Arg_0
10:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_0<=Arg_1 && Arg_0<=Arg_1
11:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

Cut unsatisfiable transition 8: eval_foo_bb3_in->eval_foo_bb1_in

Cut unsatisfiable transition 9: eval_foo_bb3_in->eval_foo_bb1_in

Eliminate variables {Arg_4} that do not contribute to the problem

Found invariant Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_bb3_in

Found invariant 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_bb2_in

Problem after Preprocessing

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_bb4_in, eval_foo_start, eval_foo_stop
Transitions:
24:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_2,Arg_3,Arg_2,Arg_3)
25: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 && 0<Arg_1
26:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_0<=0
27:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
28:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_3):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<Arg_1
29:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<=Arg_0
30:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0,Arg_0,Arg_2,Arg_3):|:Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<Arg_0 && Arg_1<Arg_0
31:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb1_in(Arg_0-1,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1 && Arg_0<=Arg_1
32:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3)
33:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
24: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
25: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
26: eval_foo_bb1_in->eval_foo_bb4_in: 1 {O(1)}
27: eval_foo_bb1_in->eval_foo_bb4_in: 1 {O(1)}
28: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
29: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
30: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
31: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
32: eval_foo_bb4_in->eval_foo_stop: 1 {O(1)}
33: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
24: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
25: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
26: eval_foo_bb1_in->eval_foo_bb4_in: 1 {O(1)}
27: eval_foo_bb1_in->eval_foo_bb4_in: 1 {O(1)}
28: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
29: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
30: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
31: eval_foo_bb3_in->eval_foo_bb1_in: inf {Infinity}
32: eval_foo_bb4_in->eval_foo_stop: 1 {O(1)}
33: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

24: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_2 {O(n)}
24: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_3 {O(n)}
24: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
24: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
25: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_2+Arg_3 {O(n)}
25: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: Arg_2+Arg_3 {O(n)}
25: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: Arg_2 {O(n)}
25: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
26: eval_foo_bb1_in->eval_foo_bb4_in, Arg_0: 2*Arg_2+Arg_3 {O(n)}
26: eval_foo_bb1_in->eval_foo_bb4_in, Arg_1: 2*Arg_3+Arg_2 {O(n)}
26: eval_foo_bb1_in->eval_foo_bb4_in, Arg_2: 2*Arg_2 {O(n)}
26: eval_foo_bb1_in->eval_foo_bb4_in, Arg_3: 2*Arg_3 {O(n)}
27: eval_foo_bb1_in->eval_foo_bb4_in, Arg_0: Arg_2 {O(n)}
27: eval_foo_bb1_in->eval_foo_bb4_in, Arg_1: Arg_3 {O(n)}
27: eval_foo_bb1_in->eval_foo_bb4_in, Arg_2: Arg_2 {O(n)}
27: eval_foo_bb1_in->eval_foo_bb4_in, Arg_3: Arg_3 {O(n)}
28: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: Arg_2+Arg_3 {O(n)}
28: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: Arg_2+Arg_3 {O(n)}
28: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
28: eval_foo_bb2_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
29: eval_foo_bb2_in->eval_foo_bb3_in, Arg_0: Arg_2+Arg_3 {O(n)}
29: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: Arg_2+Arg_3 {O(n)}
29: eval_foo_bb2_in->eval_foo_bb3_in, Arg_2: Arg_2 {O(n)}
29: eval_foo_bb2_in->eval_foo_bb3_in, Arg_3: Arg_3 {O(n)}
30: eval_foo_bb3_in->eval_foo_bb1_in, Arg_0: Arg_2+Arg_3 {O(n)}
30: eval_foo_bb3_in->eval_foo_bb1_in, Arg_1: Arg_2+Arg_3 {O(n)}
30: eval_foo_bb3_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
30: eval_foo_bb3_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
31: eval_foo_bb3_in->eval_foo_bb1_in, Arg_0: Arg_2+Arg_3 {O(n)}
31: eval_foo_bb3_in->eval_foo_bb1_in, Arg_1: Arg_2+Arg_3 {O(n)}
31: eval_foo_bb3_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
31: eval_foo_bb3_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
32: eval_foo_bb4_in->eval_foo_stop, Arg_0: 3*Arg_2+Arg_3 {O(n)}
32: eval_foo_bb4_in->eval_foo_stop, Arg_1: 3*Arg_3+Arg_2 {O(n)}
32: eval_foo_bb4_in->eval_foo_stop, Arg_2: 3*Arg_2 {O(n)}
32: eval_foo_bb4_in->eval_foo_stop, Arg_3: 3*Arg_3 {O(n)}
33: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
33: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
33: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
33: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}