Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7, Arg_8, Arg_9
Temp_Vars: nondef.0, nondef.1
Locations: eval_foo_.critedge2_in, eval_foo_.critedge_in, eval_foo_0, eval_foo_1, eval_foo_6, eval_foo_7, 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_bb6_in, eval_foo_bb7_in, eval_foo_start, eval_foo_stop
Transitions:
2:eval_foo_.critedge2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb1_in(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_0
3:eval_foo_.critedge2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_0<0
13:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_2,Arg_4,Arg_0-1,Arg_6,Arg_7,Arg_8,Arg_9)
8:eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,nondef.0,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9)
11:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_4<=0 && 0<=Arg_4
9:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_4<0
10:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<Arg_4
18:eval_foo_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,nondef.1,Arg_7,Arg_8,Arg_9)
21:eval_foo_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge2_in(Arg_5,Arg_3,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_6<=0 && 0<=Arg_6
19:eval_foo_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_6<0
20:eval_foo_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<Arg_6
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge2_in(Arg_8,Arg_9,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9)
5:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_2<0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_2
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9)
12:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb1_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9)
15:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge2_in(Arg_5,Arg_3,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_7<Arg_3
14:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_3<=Arg_7
16:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9)
22:eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9)
23:eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9)
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9)

Preprocessing

Found invariant 0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_3<=Arg_7 && Arg_2<=Arg_7 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 for location eval_foo_bb5_in

Found invariant Arg_0<=Arg_8 && 1+Arg_0<=0 for location eval_foo_bb7_in

Found invariant 0<=Arg_8 && 0<=Arg_2+Arg_8 && 0<=Arg_1+Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_0

Found invariant 0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_3<=Arg_7 && Arg_2<=Arg_7 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 for location eval_foo_6

Found invariant 0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_3<=Arg_7 && Arg_2<=Arg_7 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 for location eval_foo_7

Found invariant Arg_0<=Arg_8 && 1+Arg_0<=0 for location eval_foo_stop

Found invariant 0<=Arg_8 && 0<=Arg_2+Arg_8 && 0<=Arg_1+Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_bb3_in

Found invariant 0<=Arg_8 && 0<=Arg_2+Arg_8 && 0<=Arg_1+Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_bb2_in

Found invariant 0<=Arg_8 && 0<=Arg_2+Arg_8 && 0<=Arg_1+Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_1

Found invariant 0<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_0 for location eval_foo_bb1_in

Found invariant 0<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_0 for location eval_foo_.critedge_in

Found invariant 0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_3<=Arg_7 && Arg_2<=Arg_7 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 for location eval_foo_bb6_in

Found invariant Arg_0<=Arg_8 for location eval_foo_.critedge2_in

Found invariant 0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 for location eval_foo_bb4_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7, Arg_8, Arg_9
Temp_Vars: nondef.0, nondef.1
Locations: eval_foo_.critedge2_in, eval_foo_.critedge_in, eval_foo_0, eval_foo_1, eval_foo_6, eval_foo_7, 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_bb6_in, eval_foo_bb7_in, eval_foo_start, eval_foo_stop
Transitions:
2:eval_foo_.critedge2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb1_in(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_0<=Arg_8 && 0<=Arg_0
3:eval_foo_.critedge2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_0<=Arg_8 && Arg_0<0
13:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_2,Arg_4,Arg_0-1,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_0
8:eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,nondef.0,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_2+Arg_8 && 0<=Arg_1+Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0
11:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_2+Arg_8 && 0<=Arg_1+Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=0 && 0<=Arg_4
9:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_2+Arg_8 && 0<=Arg_1+Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<0
10:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_2+Arg_8 && 0<=Arg_1+Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && 0<Arg_4
18:eval_foo_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,nondef.1,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_3<=Arg_7 && Arg_2<=Arg_7 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0
21:eval_foo_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge2_in(Arg_5,Arg_3,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_3<=Arg_7 && Arg_2<=Arg_7 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 && Arg_6<=0 && 0<=Arg_6
19:eval_foo_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_3<=Arg_7 && Arg_2<=Arg_7 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 && Arg_6<0
20:eval_foo_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_3<=Arg_7 && Arg_2<=Arg_7 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 && 0<Arg_6
1:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge2_in(Arg_8,Arg_9,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9)
5:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_0 && Arg_2<0
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_0 && 0<=Arg_2
6:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_2+Arg_8 && 0<=Arg_1+Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0
12:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb1_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_2+Arg_8 && 0<=Arg_1+Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0
15:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge2_in(Arg_5,Arg_3,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 && Arg_7<Arg_3
14:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 && Arg_3<=Arg_7
16:eval_foo_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_3<=Arg_7 && Arg_2<=Arg_7 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0
22:eval_foo_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_3<=Arg_7 && Arg_2<=Arg_7 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0
23:eval_foo_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_0<=Arg_8 && 1+Arg_0<=0
0:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9)

MPRF for transition 2:eval_foo_.critedge2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb1_in(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:Arg_0<=Arg_8 && 0<=Arg_0 of depth 1:

new bound:

2*Arg_8+1 {O(n)}

MPRF:

eval_foo_1 [Arg_0+Arg_8 ]
eval_foo_7 [Arg_0+Arg_8 ]
eval_foo_.critedge_in [Arg_0+Arg_8 ]
eval_foo_bb2_in [Arg_0+Arg_8 ]
eval_foo_0 [Arg_0+Arg_8 ]
eval_foo_bb3_in [Arg_0+Arg_8 ]
eval_foo_bb1_in [Arg_0+Arg_8 ]
eval_foo_.critedge2_in [Arg_0+Arg_8+1 ]
eval_foo_bb5_in [Arg_0+Arg_8 ]
eval_foo_6 [Arg_0+Arg_8 ]
eval_foo_bb6_in [Arg_5+Arg_8+1 ]
eval_foo_bb4_in [Arg_0+Arg_8 ]

MPRF for transition 13:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_2,Arg_4,Arg_0-1,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_0 of depth 1:

new bound:

Arg_8+1 {O(n)}

MPRF:

eval_foo_1 [Arg_0+1 ]
eval_foo_7 [Arg_0 ]
eval_foo_.critedge_in [Arg_0+1 ]
eval_foo_bb2_in [Arg_0+1 ]
eval_foo_0 [Arg_0+1 ]
eval_foo_bb3_in [Arg_0+1 ]
eval_foo_bb1_in [Arg_0+1 ]
eval_foo_.critedge2_in [Arg_0+1 ]
eval_foo_bb5_in [Arg_0 ]
eval_foo_6 [Arg_0 ]
eval_foo_bb6_in [Arg_0 ]
eval_foo_bb4_in [Arg_0 ]

MPRF for transition 11:eval_foo_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_2+Arg_8 && 0<=Arg_1+Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=0 && 0<=Arg_4 of depth 1:

new bound:

Arg_8+1 {O(n)}

MPRF:

eval_foo_1 [Arg_0+1 ]
eval_foo_7 [Arg_0 ]
eval_foo_.critedge_in [Arg_0 ]
eval_foo_bb2_in [Arg_0+1 ]
eval_foo_0 [Arg_0+1 ]
eval_foo_bb3_in [Arg_0+1 ]
eval_foo_bb1_in [Arg_0+1 ]
eval_foo_.critedge2_in [Arg_0+1 ]
eval_foo_bb5_in [Arg_0 ]
eval_foo_6 [Arg_0 ]
eval_foo_bb6_in [Arg_5+1 ]
eval_foo_bb4_in [Arg_0 ]

MPRF for transition 21:eval_foo_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge2_in(Arg_5,Arg_3,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_3<=Arg_7 && Arg_2<=Arg_7 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 && Arg_6<=0 && 0<=Arg_6 of depth 1:

new bound:

Arg_8+1 {O(n)}

MPRF:

eval_foo_1 [Arg_0+1 ]
eval_foo_7 [Arg_0+1 ]
eval_foo_.critedge_in [Arg_0+1 ]
eval_foo_bb2_in [Arg_0+1 ]
eval_foo_0 [Arg_0+1 ]
eval_foo_bb3_in [Arg_0+1 ]
eval_foo_bb1_in [Arg_0+1 ]
eval_foo_.critedge2_in [Arg_0+1 ]
eval_foo_bb5_in [Arg_0+1 ]
eval_foo_6 [Arg_0+1 ]
eval_foo_bb6_in [Arg_0+1 ]
eval_foo_bb4_in [Arg_0+1 ]

MPRF for transition 5:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && Arg_2<=Arg_1 && 0<=Arg_0 && Arg_2<0 of depth 1:

new bound:

Arg_8+1 {O(n)}

MPRF:

eval_foo_1 [Arg_0+1 ]
eval_foo_7 [Arg_0 ]
eval_foo_.critedge_in [Arg_0 ]
eval_foo_bb2_in [Arg_0+1 ]
eval_foo_0 [Arg_0+1 ]
eval_foo_bb3_in [Arg_0+1 ]
eval_foo_bb1_in [Arg_0+1 ]
eval_foo_.critedge2_in [Arg_0+1 ]
eval_foo_bb5_in [Arg_0 ]
eval_foo_6 [Arg_0 ]
eval_foo_bb6_in [Arg_0 ]
eval_foo_bb4_in [Arg_0 ]

MPRF for transition 15:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9) -> eval_foo_.critedge2_in(Arg_5,Arg_3,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_8,Arg_9):|:0<=Arg_8 && 0<=1+Arg_5+Arg_8 && 1+Arg_5<=Arg_8 && 0<=Arg_0+Arg_8 && Arg_0<=Arg_8 && 1+Arg_5<=Arg_0 && 0<=1+Arg_5 && 0<=1+Arg_0+Arg_5 && Arg_0<=1+Arg_5 && Arg_2<=Arg_3 && Arg_2<=Arg_1 && 0<=Arg_0 && Arg_7<Arg_3 of depth 1:

new bound:

Arg_8+1 {O(n)}

MPRF:

eval_foo_1 [Arg_0+1 ]
eval_foo_7 [2*Arg_0-Arg_5 ]
eval_foo_.critedge_in [Arg_0+1 ]
eval_foo_bb2_in [Arg_0+1 ]
eval_foo_0 [Arg_0+1 ]
eval_foo_bb3_in [Arg_0+1 ]
eval_foo_bb1_in [Arg_0+1 ]
eval_foo_.critedge2_in [Arg_0+1 ]
eval_foo_bb5_in [Arg_0+1 ]
eval_foo_6 [Arg_0+1 ]
eval_foo_bb6_in [Arg_0+1 ]
eval_foo_bb4_in [Arg_0+1 ]

Analysing control-flow refined program

Cut unreachable locations [n_eval_foo_0___16; n_eval_foo_0___24; n_eval_foo_0___38; n_eval_foo_0___46; n_eval_foo_0___5; n_eval_foo_1___15; n_eval_foo_1___23; n_eval_foo_1___37; n_eval_foo_1___4; n_eval_foo_1___45; n_eval_foo_6___33; n_eval_foo_6___9; n_eval_foo_7___32; n_eval_foo_7___8; n_eval_foo__Pcritedge2_in___31; n_eval_foo__Pcritedge2_in___52; n_eval_foo__Pcritedge2_in___57; n_eval_foo__Pcritedge_in___14; n_eval_foo__Pcritedge_in___18; n_eval_foo__Pcritedge_in___22; n_eval_foo__Pcritedge_in___27; n_eval_foo__Pcritedge_in___3; n_eval_foo__Pcritedge_in___36; n_eval_foo__Pcritedge_in___40; n_eval_foo__Pcritedge_in___44; n_eval_foo__Pcritedge_in___49; n_eval_foo__Pcritedge_in___55; n_eval_foo_bb1_in___19; n_eval_foo_bb1_in___28; n_eval_foo_bb1_in___41; n_eval_foo_bb1_in___50; n_eval_foo_bb1_in___56; n_eval_foo_bb2_in___17; n_eval_foo_bb2_in___26; n_eval_foo_bb2_in___39; n_eval_foo_bb2_in___48; n_eval_foo_bb2_in___54; n_eval_foo_bb3_in___1; n_eval_foo_bb3_in___12; n_eval_foo_bb3_in___13; n_eval_foo_bb3_in___2; n_eval_foo_bb3_in___20; n_eval_foo_bb3_in___21; n_eval_foo_bb3_in___34; n_eval_foo_bb3_in___35; n_eval_foo_bb3_in___42; n_eval_foo_bb3_in___43; n_eval_foo_bb4_in___11; n_eval_foo_bb4_in___25; n_eval_foo_bb4_in___47; n_eval_foo_bb4_in___53; n_eval_foo_bb5_in___10; n_eval_foo_bb5_in___51; n_eval_foo_bb6_in___29; n_eval_foo_bb6_in___30; n_eval_foo_bb6_in___6; n_eval_foo_bb6_in___7] from the program graph

Eliminate variables {Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7,Arg_9} that do not contribute to the problem

Found invariant 1+Arg_8<=0 && Arg_8<=Arg_0 && 2+Arg_0+Arg_8<=0 && Arg_0<=Arg_8 && 1+Arg_0<=0 for location eval_foo_bb7_in

Found invariant 1+Arg_8<=0 && Arg_8<=Arg_0 && 2+Arg_0+Arg_8<=0 && Arg_0<=Arg_8 && 1+Arg_0<=0 for location eval_foo_stop

Found invariant Arg_8<=Arg_0 && Arg_0<=Arg_8 for location eval_foo_.critedge2_in

CFR: Improvement to new bound with the following program:

new bound:

0 {O(1)}

cfr-program:

Start: eval_foo_start
Program_Vars: Arg_0, Arg_8
Temp_Vars:
Locations: eval_foo_.critedge2_in, eval_foo_bb0_in, eval_foo_bb7_in, eval_foo_start, eval_foo_stop
Transitions:
292:eval_foo_.critedge2_in(Arg_0,Arg_8) -> eval_foo_bb7_in(Arg_0,Arg_8):|:Arg_8<=Arg_0 && Arg_0<=Arg_8 && Arg_0<=Arg_8 && Arg_0<0
293:eval_foo_bb0_in(Arg_0,Arg_8) -> eval_foo_.critedge2_in(Arg_8,Arg_8)
294:eval_foo_bb7_in(Arg_0,Arg_8) -> eval_foo_stop(Arg_0,Arg_8):|:1+Arg_8<=0 && Arg_8<=Arg_0 && 2+Arg_0+Arg_8<=0 && Arg_0<=Arg_8 && 1+Arg_0<=0 && Arg_0<=Arg_8 && 1+Arg_0<=0
295:eval_foo_start(Arg_0,Arg_8) -> eval_foo_bb0_in(Arg_0,Arg_8)

All Bounds

Timebounds

Overall timebound:4 {O(1)}
292: eval_foo_.critedge2_in->eval_foo_bb7_in: 1 {O(1)}
293: eval_foo_bb0_in->eval_foo_.critedge2_in: 1 {O(1)}
294: eval_foo_bb7_in->eval_foo_stop: 1 {O(1)}
295: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 4 {O(1)}
292: eval_foo_.critedge2_in->eval_foo_bb7_in: 1 {O(1)}
293: eval_foo_bb0_in->eval_foo_.critedge2_in: 1 {O(1)}
294: eval_foo_bb7_in->eval_foo_stop: 1 {O(1)}
295: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

3: eval_foo_.critedge2_in->eval_foo_bb7_in, Arg_0: 3*Arg_8+2 {O(n)}
3: eval_foo_.critedge2_in->eval_foo_bb7_in, Arg_5: 6*Arg_8+Arg_5+12 {O(n)}
3: eval_foo_.critedge2_in->eval_foo_bb7_in, Arg_7: 3*Arg_7 {O(n)}
3: eval_foo_.critedge2_in->eval_foo_bb7_in, Arg_8: 3*Arg_8 {O(n)}
3: eval_foo_.critedge2_in->eval_foo_bb7_in, Arg_9: 3*Arg_9 {O(n)}
1: eval_foo_bb0_in->eval_foo_.critedge2_in, Arg_0: Arg_8 {O(n)}
1: eval_foo_bb0_in->eval_foo_.critedge2_in, Arg_1: Arg_9 {O(n)}
1: eval_foo_bb0_in->eval_foo_.critedge2_in, Arg_2: Arg_2 {O(n)}
1: eval_foo_bb0_in->eval_foo_.critedge2_in, Arg_3: Arg_3 {O(n)}
1: eval_foo_bb0_in->eval_foo_.critedge2_in, Arg_4: Arg_4 {O(n)}
1: eval_foo_bb0_in->eval_foo_.critedge2_in, Arg_5: Arg_5 {O(n)}
1: eval_foo_bb0_in->eval_foo_.critedge2_in, Arg_6: Arg_6 {O(n)}
1: eval_foo_bb0_in->eval_foo_.critedge2_in, Arg_7: Arg_7 {O(n)}
1: eval_foo_bb0_in->eval_foo_.critedge2_in, Arg_8: Arg_8 {O(n)}
1: eval_foo_bb0_in->eval_foo_.critedge2_in, Arg_9: Arg_9 {O(n)}
23: eval_foo_bb7_in->eval_foo_stop, Arg_0: 3*Arg_8+2 {O(n)}
23: eval_foo_bb7_in->eval_foo_stop, Arg_5: 6*Arg_8+Arg_5+12 {O(n)}
23: eval_foo_bb7_in->eval_foo_stop, Arg_7: 3*Arg_7 {O(n)}
23: eval_foo_bb7_in->eval_foo_stop, Arg_8: 3*Arg_8 {O(n)}
23: eval_foo_bb7_in->eval_foo_stop, Arg_9: 3*Arg_9 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_5: Arg_5 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_6: Arg_6 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_7: Arg_7 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_8: Arg_8 {O(n)}
0: eval_foo_start->eval_foo_bb0_in, Arg_9: Arg_9 {O(n)}