Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars:
Locations: eval_foo_.critedge5_in, eval_foo_.critedge_in, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_start, eval_foo_stop
Transitions:
10:eval_foo_.critedge5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=0 && 0<=Arg_1
11:eval_foo_.critedge5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<0
12:eval_foo_.critedge5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<Arg_1
15:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_3,Arg_4,Arg_2,Arg_3,Arg_4,Arg_5)
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_4<=0
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<Arg_4
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<0
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<Arg_1
4:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=0 && 0<=Arg_1
7:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_.critedge5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:0<Arg_1 && 0<Arg_0
8:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_1<=0
9:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_0<=0
13:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0,Arg_4,Arg_2,Arg_3,Arg_4,Arg_5)
14:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_0+1,Arg_1-1,Arg_2,Arg_3,Arg_4,Arg_5)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5)

Preprocessing

Cut unsatisfiable transition 10: eval_foo_.critedge5_in->eval_foo_bb4_in

Cut unsatisfiable transition 11: eval_foo_.critedge5_in->eval_foo_bb5_in

Eliminate variables {Arg_2,Arg_5} that do not contribute to the problem

Found invariant 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_bb5_in

Found invariant Arg_1<=Arg_4 && Arg_3<=Arg_0 for location eval_foo_stop

Found invariant 1<=Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_0 for location eval_foo_bb3_in

Found invariant 1<=Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_0 for location eval_foo_bb2_in

Found invariant Arg_1<=Arg_4 && Arg_3<=Arg_0 for location eval_foo_bb1_in

Found invariant Arg_1<=Arg_4 && Arg_3<=Arg_0 for location eval_foo_.critedge_in

Found invariant 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_.critedge5_in

Found invariant 1<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_1<=0 && 0<=Arg_1 for location eval_foo_bb4_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_3, Arg_4
Temp_Vars:
Locations: eval_foo_.critedge5_in, eval_foo_.critedge_in, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_bb4_in, eval_foo_bb5_in, eval_foo_start, eval_foo_stop
Transitions:
33:eval_foo_.critedge5_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 0<Arg_1
34:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_stop(Arg_0,Arg_1,Arg_3,Arg_4):|:Arg_1<=Arg_4 && Arg_3<=Arg_0
35:eval_foo_bb0_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_3,Arg_4,Arg_3,Arg_4)
37:eval_foo_bb1_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_3,Arg_4):|:Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_4<=0
36:eval_foo_bb1_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_3,Arg_4):|:Arg_1<=Arg_4 && Arg_3<=Arg_0 && 0<Arg_4
39:eval_foo_bb2_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_3,Arg_4):|:1<=Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_1<0
40:eval_foo_bb2_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_3,Arg_4):|:1<=Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && 0<Arg_1
38:eval_foo_bb2_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_3,Arg_4):|:1<=Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_1<=0 && 0<=Arg_1
41:eval_foo_bb3_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_.critedge5_in(Arg_0,Arg_1,Arg_3,Arg_4):|:1<=Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && 0<Arg_1 && 0<Arg_0
42:eval_foo_bb3_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_3,Arg_4):|:1<=Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_1<=0
43:eval_foo_bb3_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_3,Arg_4):|:1<=Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_0<=0
44:eval_foo_bb4_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_0,Arg_4,Arg_3,Arg_4):|:1<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && Arg_3<=Arg_0 && Arg_1<=0 && 0<=Arg_1
45:eval_foo_bb5_in(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb1_in(Arg_0+1,Arg_1-1,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_3<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
46:eval_foo_start(Arg_0,Arg_1,Arg_3,Arg_4) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_3,Arg_4)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
33: eval_foo_.critedge5_in->eval_foo_bb5_in: inf {Infinity}
34: eval_foo_.critedge_in->eval_foo_stop: 1 {O(1)}
35: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
36: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
37: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
38: eval_foo_bb2_in->eval_foo_bb4_in: inf {Infinity}
39: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
40: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
41: eval_foo_bb3_in->eval_foo_.critedge5_in: inf {Infinity}
42: eval_foo_bb3_in->eval_foo_.critedge_in: 1 {O(1)}
43: eval_foo_bb3_in->eval_foo_.critedge_in: 1 {O(1)}
44: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
45: eval_foo_bb5_in->eval_foo_bb1_in: inf {Infinity}
46: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
33: eval_foo_.critedge5_in->eval_foo_bb5_in: inf {Infinity}
34: eval_foo_.critedge_in->eval_foo_stop: 1 {O(1)}
35: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
36: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
37: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
38: eval_foo_bb2_in->eval_foo_bb4_in: inf {Infinity}
39: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
40: eval_foo_bb2_in->eval_foo_bb3_in: inf {Infinity}
41: eval_foo_bb3_in->eval_foo_.critedge5_in: inf {Infinity}
42: eval_foo_bb3_in->eval_foo_.critedge_in: 1 {O(1)}
43: eval_foo_bb3_in->eval_foo_.critedge_in: 1 {O(1)}
44: eval_foo_bb4_in->eval_foo_bb1_in: inf {Infinity}
45: eval_foo_bb5_in->eval_foo_bb1_in: inf {Infinity}
46: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

33: eval_foo_.critedge5_in->eval_foo_bb5_in, Arg_1: 2*Arg_4 {O(n)}
33: eval_foo_.critedge5_in->eval_foo_bb5_in, Arg_3: Arg_3 {O(n)}
33: eval_foo_.critedge5_in->eval_foo_bb5_in, Arg_4: Arg_4 {O(n)}
34: eval_foo_.critedge_in->eval_foo_stop, Arg_1: 7*Arg_4 {O(n)}
34: eval_foo_.critedge_in->eval_foo_stop, Arg_3: 4*Arg_3 {O(n)}
34: eval_foo_.critedge_in->eval_foo_stop, Arg_4: 4*Arg_4 {O(n)}
35: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_3 {O(n)}
35: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_4 {O(n)}
35: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
35: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
36: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: 2*Arg_4 {O(n)}
36: eval_foo_bb1_in->eval_foo_bb2_in, Arg_3: Arg_3 {O(n)}
36: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
37: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_0: Arg_3 {O(n)}
37: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_1: Arg_4 {O(n)}
37: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_3: Arg_3 {O(n)}
37: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_4: Arg_4 {O(n)}
38: eval_foo_bb2_in->eval_foo_bb4_in, Arg_1: 0 {O(1)}
38: eval_foo_bb2_in->eval_foo_bb4_in, Arg_3: Arg_3 {O(n)}
38: eval_foo_bb2_in->eval_foo_bb4_in, Arg_4: Arg_4 {O(n)}
39: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: 2*Arg_4 {O(n)}
39: eval_foo_bb2_in->eval_foo_bb3_in, Arg_3: Arg_3 {O(n)}
39: eval_foo_bb2_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
40: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: 2*Arg_4 {O(n)}
40: eval_foo_bb2_in->eval_foo_bb3_in, Arg_3: Arg_3 {O(n)}
40: eval_foo_bb2_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
41: eval_foo_bb3_in->eval_foo_.critedge5_in, Arg_1: 2*Arg_4 {O(n)}
41: eval_foo_bb3_in->eval_foo_.critedge5_in, Arg_3: Arg_3 {O(n)}
41: eval_foo_bb3_in->eval_foo_.critedge5_in, Arg_4: Arg_4 {O(n)}
42: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_1: 2*Arg_4 {O(n)}
42: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_3: Arg_3 {O(n)}
42: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_4: Arg_4 {O(n)}
43: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_1: 4*Arg_4 {O(n)}
43: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_3: 2*Arg_3 {O(n)}
43: eval_foo_bb3_in->eval_foo_.critedge_in, Arg_4: 2*Arg_4 {O(n)}
44: eval_foo_bb4_in->eval_foo_bb1_in, Arg_1: Arg_4 {O(n)}
44: eval_foo_bb4_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
44: eval_foo_bb4_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
45: eval_foo_bb5_in->eval_foo_bb1_in, Arg_1: 2*Arg_4 {O(n)}
45: eval_foo_bb5_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
45: eval_foo_bb5_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
46: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
46: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
46: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}
46: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}