Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0
Locations: eval_foo_1, eval_foo_2, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
8:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_2(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5,Arg_6)
9:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_2-1,Arg_1+Arg_0,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<0 && Arg_3<0
10:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_2-1,Arg_1+Arg_0,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<0 && 0<Arg_3
11:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_2-1,Arg_1+Arg_0,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_3 && Arg_3<0
12:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_2-1,Arg_1+Arg_0,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_3 && 0<Arg_3
13:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_1+Arg_0,Arg_1+Arg_0,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<0 && Arg_3<=0 && 0<=Arg_3
14:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_1+Arg_0,Arg_1+Arg_0,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_3 && Arg_3<=0 && 0<=Arg_3
15:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_2-1,Arg_2-1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=0 && 0<=Arg_3 && Arg_3<0
16:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_2-1,Arg_2-1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=0 && 0<=Arg_3 && 0<Arg_3
17:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_1+Arg_0,Arg_2-1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<=0 && 0<=Arg_3 && Arg_3<=0 && 0<=Arg_3
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_4,Arg_5,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
2:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_1 && 0<Arg_0
3:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<=0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<=0
5:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_1(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<Arg_0
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_1(Arg_0,Arg_1,Arg_0,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_1
18:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

Preprocessing

Cut unsatisfiable transition 10: eval_foo_2->eval_foo_bb1_in

Cut unsatisfiable transition 11: eval_foo_2->eval_foo_bb1_in

Cut unsatisfiable transition 13: eval_foo_2->eval_foo_bb1_in

Cut unsatisfiable transition 14: eval_foo_2->eval_foo_bb1_in

Cut unsatisfiable transition 15: eval_foo_2->eval_foo_bb1_in

Cut unsatisfiable transition 16: eval_foo_2->eval_foo_bb1_in

Eliminate variables {Arg_6} that do not contribute to the problem

Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_2

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

Found invariant Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_foo_1

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5
Temp_Vars: nondef.0
Locations: eval_foo_1, eval_foo_2, eval_foo_bb0_in, eval_foo_bb1_in, eval_foo_bb2_in, eval_foo_bb3_in, eval_foo_start, eval_foo_stop
Transitions:
37:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_2(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
38:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_2-1,Arg_1+Arg_0,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_3<0 && Arg_3<0
39:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_2-1,Arg_1+Arg_0,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && 0<Arg_3 && 0<Arg_3
40:eval_foo_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_1+Arg_0,Arg_2-1,Arg_2,Arg_3,Arg_4,Arg_5):|:Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_3<=0 && 0<=Arg_3 && Arg_3<=0 && 0<=Arg_3
41:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_bb1_in(Arg_4,Arg_5,Arg_2,Arg_3,Arg_4,Arg_5)
42: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_1 && 0<Arg_0
43:eval_foo_bb1_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
44:eval_foo_bb1_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_0<=0
45:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_1(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4,Arg_5):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_1<Arg_0
46:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5) -> eval_foo_1(Arg_0,Arg_1,Arg_0,Arg_3,Arg_4,Arg_5):|:1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_1
47:eval_foo_bb3_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)
48: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)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
37: eval_foo_1->eval_foo_2: inf {Infinity}
38: eval_foo_2->eval_foo_bb1_in: inf {Infinity}
39: eval_foo_2->eval_foo_bb1_in: inf {Infinity}
40: eval_foo_2->eval_foo_bb1_in: inf {Infinity}
41: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
42: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
43: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
44: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
45: eval_foo_bb2_in->eval_foo_1: inf {Infinity}
46: eval_foo_bb2_in->eval_foo_1: inf {Infinity}
47: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
48: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
37: eval_foo_1->eval_foo_2: inf {Infinity}
38: eval_foo_2->eval_foo_bb1_in: inf {Infinity}
39: eval_foo_2->eval_foo_bb1_in: inf {Infinity}
40: eval_foo_2->eval_foo_bb1_in: inf {Infinity}
41: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
42: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
43: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
44: eval_foo_bb1_in->eval_foo_bb3_in: 1 {O(1)}
45: eval_foo_bb2_in->eval_foo_1: inf {Infinity}
46: eval_foo_bb2_in->eval_foo_1: inf {Infinity}
47: eval_foo_bb3_in->eval_foo_stop: 1 {O(1)}
48: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

37: eval_foo_1->eval_foo_2, Arg_4: Arg_4 {O(n)}
37: eval_foo_1->eval_foo_2, Arg_5: Arg_5 {O(n)}
38: eval_foo_2->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
38: eval_foo_2->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
39: eval_foo_2->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
39: eval_foo_2->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
40: eval_foo_2->eval_foo_bb1_in, Arg_3: 0 {O(1)}
40: eval_foo_2->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
40: eval_foo_2->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_4 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_5 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in, Arg_3: Arg_3 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
41: eval_foo_bb0_in->eval_foo_bb1_in, Arg_5: Arg_5 {O(n)}
42: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
42: eval_foo_bb1_in->eval_foo_bb2_in, Arg_5: Arg_5 {O(n)}
43: eval_foo_bb1_in->eval_foo_bb3_in, Arg_3: Arg_3 {O(n)}
43: eval_foo_bb1_in->eval_foo_bb3_in, Arg_4: 2*Arg_4 {O(n)}
43: eval_foo_bb1_in->eval_foo_bb3_in, Arg_5: 2*Arg_5 {O(n)}
44: eval_foo_bb1_in->eval_foo_bb3_in, Arg_4: 3*Arg_4 {O(n)}
44: eval_foo_bb1_in->eval_foo_bb3_in, Arg_5: 3*Arg_5 {O(n)}
45: eval_foo_bb2_in->eval_foo_1, Arg_4: Arg_4 {O(n)}
45: eval_foo_bb2_in->eval_foo_1, Arg_5: Arg_5 {O(n)}
46: eval_foo_bb2_in->eval_foo_1, Arg_4: Arg_4 {O(n)}
46: eval_foo_bb2_in->eval_foo_1, Arg_5: Arg_5 {O(n)}
47: eval_foo_bb3_in->eval_foo_stop, Arg_4: 5*Arg_4 {O(n)}
47: eval_foo_bb3_in->eval_foo_stop, Arg_5: 5*Arg_5 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}
48: eval_foo_start->eval_foo_bb0_in, Arg_5: Arg_5 {O(n)}