Initial Problem

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars:
Locations: 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_start, eval_foo_stop
Transitions:
13:eval_foo_.critedge_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)
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_6,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
4:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<=0 && 0<=Arg_1
5:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<0
6:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<0
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):|:Arg_1<0 && 0<=Arg_0 && 0<=Arg_1
3: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 && 0<=Arg_1
7:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_1 && Arg_1<=Arg_0
8:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<Arg_1
9:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<Arg_0
11:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb1_in(Arg_1,Arg_2,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_1
10:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<Arg_2
12:eval_foo_bb4_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_1,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 2: eval_foo_bb1_in->eval_foo_bb2_in

Eliminate variables {Arg_3,Arg_5} that do not contribute to the problem

Found invariant Arg_1<=Arg_6 for location eval_foo_stop

Found invariant 1<=Arg_6 && 1<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_bb3_in

Found invariant 1<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_foo_bb2_in

Found invariant Arg_1<=Arg_6 for location eval_foo_bb1_in

Found invariant Arg_1<=Arg_6 for location eval_foo_.critedge_in

Found invariant 1<=Arg_6 && 3<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 3<=Arg_0+Arg_6 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_foo_bb4_in

Problem after Preprocessing

Start: eval_foo_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_4, Arg_6
Temp_Vars:
Locations: 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_start, eval_foo_stop
Transitions:
30:eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_stop(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6):|:Arg_1<=Arg_6
31:eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb1_in(Arg_4,Arg_6,Arg_2,Arg_4,Arg_6)
33:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6):|:Arg_1<=Arg_6 && Arg_1<=0 && 0<=Arg_1
34:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6):|:Arg_1<=Arg_6 && Arg_0<0
35:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6):|:Arg_1<=Arg_6 && Arg_1<0
32:eval_foo_bb1_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6):|:Arg_1<=Arg_6 && 0<Arg_1 && 0<=Arg_0 && 0<=Arg_1
36:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb1_in(Arg_1,Arg_0,Arg_2,Arg_4,Arg_6):|:1<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<=Arg_1 && Arg_1<=Arg_0
37:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_4,Arg_6):|:1<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<Arg_1
38:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_4,Arg_6):|:1<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<Arg_0
40:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb1_in(Arg_1,Arg_2,Arg_2,Arg_4,Arg_6):|:1<=Arg_6 && 1<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_2<=Arg_1
39:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6):|:1<=Arg_6 && 1<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<Arg_2
41:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2-Arg_1,Arg_4,Arg_6):|:1<=Arg_6 && 3<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 3<=Arg_0+Arg_6 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0
42:eval_foo_start(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb0_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6)

MPRF for transition 39:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6):|:1<=Arg_6 && 1<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<Arg_2 of depth 1:

new bound:

Arg_4+Arg_6 {O(n)}

MPRF:

eval_foo_bb2_in [Arg_0+Arg_1 ]
eval_foo_bb1_in [Arg_0+Arg_1 ]
eval_foo_bb4_in [Arg_1+Arg_2-1 ]
eval_foo_bb3_in [Arg_1+Arg_2 ]

MPRF for transition 41:eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_2-Arg_1,Arg_4,Arg_6):|:1<=Arg_6 && 3<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 3<=Arg_0+Arg_6 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 of depth 1:

new bound:

Arg_4+Arg_6+2 {O(n)}

MPRF:

eval_foo_bb2_in [Arg_0+Arg_1-2 ]
eval_foo_bb1_in [Arg_0+Arg_1-2 ]
eval_foo_bb4_in [Arg_2-1 ]
eval_foo_bb3_in [Arg_1+Arg_2-2 ]

MPRF for transition 37:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_4,Arg_6):|:1<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_0<Arg_1 of depth 1:

new bound:

2*Arg_4*Arg_4+2*Arg_6*Arg_6+4*Arg_4*Arg_6+Arg_6 {O(n^2)}

MPRF:

eval_foo_bb2_in [Arg_1 ]
eval_foo_bb1_in [Arg_1 ]
eval_foo_bb4_in [Arg_2-Arg_1 ]
eval_foo_bb3_in [Arg_2 ]

MPRF for transition 40:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb1_in(Arg_1,Arg_2,Arg_2,Arg_4,Arg_6):|:1<=Arg_6 && 1<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_2<=Arg_1 of depth 1:

new bound:

2*Arg_4+2*Arg_6 {O(n)}

MPRF:

eval_foo_bb2_in [Arg_1-Arg_0 ]
eval_foo_bb1_in [Arg_1-Arg_0 ]
eval_foo_bb4_in [1 ]
eval_foo_bb3_in [1 ]

MPRF for transition 38:eval_foo_bb2_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb3_in(Arg_0,Arg_1,Arg_0,Arg_4,Arg_6):|:1<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<Arg_0 of depth 1:

new bound:

2*Arg_4*Arg_6+2*Arg_6*Arg_6+Arg_6 {O(n^2)}

MPRF:

eval_foo_bb1_in [Arg_6 ]
eval_foo_bb2_in [Arg_6 ]
eval_foo_bb4_in [Arg_6-1 ]
eval_foo_bb3_in [Arg_6-1 ]

Analysing control-flow refined program

Cut unsatisfiable transition 139: n_eval_foo_bb1_in___11->eval_foo_.critedge_in

Cut unsatisfiable transition 143: n_eval_foo_bb1_in___11->eval_foo_.critedge_in

Cut unsatisfiable transition 140: n_eval_foo_bb1_in___2->eval_foo_.critedge_in

Cut unsatisfiable transition 144: n_eval_foo_bb1_in___2->eval_foo_.critedge_in

Cut unsatisfiable transition 141: n_eval_foo_bb1_in___4->eval_foo_.critedge_in

Cut unsatisfiable transition 145: n_eval_foo_bb1_in___4->eval_foo_.critedge_in

Cut unsatisfiable transition 146: n_eval_foo_bb1_in___7->eval_foo_.critedge_in

Cut unsatisfiable transition 147: n_eval_foo_bb3_in___10->eval_foo_bb4_in

Found invariant 1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_2 && Arg_6<=Arg_1 && 1+Arg_6<=Arg_0 && 1<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 3<=Arg_0+Arg_6 && Arg_4<=Arg_2 && Arg_4<=Arg_0 && 2<=Arg_4 && 4<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 4<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_foo_bb3_in___9

Found invariant Arg_6<=Arg_0 && 1<=Arg_6 && 1<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 1<=Arg_2+Arg_6 && 1+Arg_2<=Arg_6 && 1<=Arg_1+Arg_6 && 1+Arg_1<=Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && Arg_4<=Arg_2 && Arg_4<=Arg_1 && 1+Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 0<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___7

Found invariant Arg_1<=Arg_6 && Arg_4<=Arg_0 for location eval_foo_stop

Found invariant Arg_6<=Arg_4 && Arg_6<=Arg_1 && Arg_6<=Arg_0 && 1<=Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && Arg_4<=Arg_1 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___11

Found invariant 1<=Arg_6 && 3<=Arg_4+Arg_6 && 2<=Arg_2+Arg_6 && Arg_2<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___4

Found invariant Arg_6<=Arg_4 && Arg_6<=Arg_1 && Arg_6<=Arg_0 && 1<=Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && Arg_4<=Arg_1 && Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb2_in___8

Found invariant 2<=Arg_6 && 3<=Arg_4+Arg_6 && 4<=Arg_2+Arg_6 && Arg_2<=Arg_6 && 3<=Arg_1+Arg_6 && 1+Arg_1<=Arg_6 && 4<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1<=Arg_4 && 3<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_foo_bb3_in___5

Found invariant 1<=Arg_6 && 3<=Arg_4+Arg_6 && 2<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 3<=Arg_0+Arg_6 && 1<=Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_2<=Arg_0 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_foo_bb3_in

Found invariant Arg_6<=Arg_1 && 1<=Arg_6 && 1<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 1<=Arg_2+Arg_6 && 1+Arg_2<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && Arg_4<=Arg_0 && 0<=Arg_4 && 0<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_foo_bb3_in___10

Found invariant 1<=Arg_6 && 3<=Arg_4+Arg_6 && 2<=Arg_2+Arg_6 && Arg_2<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb1_in___2

Found invariant Arg_6<=Arg_1 && 1<=Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && Arg_4<=Arg_0 && 0<=Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location n_eval_foo_bb2_in___12

Found invariant 1<=Arg_6 && 3<=Arg_4+Arg_6 && 2<=Arg_2+Arg_6 && Arg_2<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_foo_bb2_in___1

Found invariant Arg_6<=Arg_1 && Arg_1<=Arg_6 && Arg_4<=Arg_0 && Arg_0<=Arg_4 for location eval_foo_bb1_in

Found invariant 1<=Arg_6 && 3<=Arg_4+Arg_6 && 2<=Arg_2+Arg_6 && Arg_2<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location n_eval_foo_bb2_in___3

Found invariant Arg_6<=Arg_0 && 2<=Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 3<=Arg_2+Arg_6 && 1+Arg_2<=Arg_6 && 3<=Arg_1+Arg_6 && 1+Arg_1<=Arg_6 && 4<=Arg_0+Arg_6 && Arg_0<=Arg_6 && Arg_4<=Arg_2 && Arg_4<=Arg_1 && 1+Arg_4<=Arg_0 && 1<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location n_eval_foo_bb2_in___6

Found invariant Arg_1<=Arg_6 && Arg_4<=Arg_0 for location eval_foo_.critedge_in

Found invariant 1<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 3<=Arg_0+Arg_6 && 1<=Arg_4 && 3<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 for location eval_foo_bb4_in

knowledge_propagation leads to new time bound Arg_4+Arg_6+2 {O(n)} for transition 121:eval_foo_bb3_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> n_eval_foo_bb1_in___4(Arg_1,Arg_2,Arg_2,Arg_4,Arg_6):|:1<=Arg_6 && 3<=Arg_4+Arg_6 && 2<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 3<=Arg_0+Arg_6 && 1<=Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_2<=Arg_0 && 2<=Arg_1+Arg_2 && 3<=Arg_0+Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && Arg_1<=Arg_6 && Arg_1+Arg_2<=Arg_0 && 1<=Arg_2 && 1<=Arg_1 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_2<=Arg_1 && 0<=Arg_0+Arg_2 && Arg_2<=Arg_0 && Arg_1<=Arg_6

knowledge_propagation leads to new time bound Arg_4+Arg_6+2 {O(n)} for transition 110:n_eval_foo_bb1_in___4(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6):|:1<=Arg_6 && 3<=Arg_4+Arg_6 && 2<=Arg_2+Arg_6 && Arg_2<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_6 && 0<=Arg_0 && Arg_1<=Arg_6 && 0<Arg_1 && 1<=Arg_0 && 0<Arg_0 && 1<=Arg_1 && 0<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_6 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && Arg_0<=Arg_6 && 1<=Arg_0+Arg_2 && 1<=Arg_0 && Arg_2<=Arg_0 && 0<=Arg_0 && 0<Arg_1 && Arg_1<=Arg_6

knowledge_propagation leads to new time bound Arg_4+Arg_6+2 {O(n)} for transition 117:n_eval_foo_bb2_in___3(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> n_eval_foo_bb3_in___5(Arg_0,Arg_1,Arg_0,Arg_4,Arg_6):|:1<=Arg_6 && 3<=Arg_4+Arg_6 && 2<=Arg_2+Arg_6 && Arg_2<=Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1<=Arg_4 && 2<=Arg_2+Arg_4 && Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_0+Arg_4 && Arg_0<=Arg_4 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 && Arg_0<=Arg_6 && Arg_1<=Arg_0 && 1<=Arg_1 && Arg_1<=Arg_2 && Arg_2<=Arg_1 && 1<=Arg_1 && Arg_1<Arg_0 && Arg_1<=Arg_6

knowledge_propagation leads to new time bound Arg_4+Arg_6+3 {O(n)} for transition 148:n_eval_foo_bb3_in___5(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6) -> eval_foo_bb4_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_6):|:2<=Arg_6 && 3<=Arg_4+Arg_6 && 4<=Arg_2+Arg_6 && Arg_2<=Arg_6 && 3<=Arg_1+Arg_6 && 1+Arg_1<=Arg_6 && 4<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1<=Arg_4 && 3<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && Arg_2<=Arg_0 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && 1+Arg_1<=Arg_2 && 4<=Arg_0+Arg_2 && Arg_0<=Arg_2 && 1+Arg_1<=Arg_0 && 1<=Arg_1 && 3<=Arg_0+Arg_1 && 2<=Arg_0 && 1<=Arg_6 && 1<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && Arg_1<=Arg_6 && 1<=Arg_0+Arg_6 && Arg_2<=Arg_0 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<Arg_2

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:inf {Infinity}
30: eval_foo_.critedge_in->eval_foo_stop: 1 {O(1)}
31: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
32: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
33: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
34: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
35: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
36: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
37: eval_foo_bb2_in->eval_foo_bb3_in: 2*Arg_4*Arg_4+2*Arg_6*Arg_6+4*Arg_4*Arg_6+Arg_6 {O(n^2)}
38: eval_foo_bb2_in->eval_foo_bb3_in: 2*Arg_4*Arg_6+2*Arg_6*Arg_6+Arg_6 {O(n^2)}
39: eval_foo_bb3_in->eval_foo_bb4_in: Arg_4+Arg_6 {O(n)}
40: eval_foo_bb3_in->eval_foo_bb1_in: 2*Arg_4+2*Arg_6 {O(n)}
41: eval_foo_bb4_in->eval_foo_bb3_in: Arg_4+Arg_6+2 {O(n)}
42: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
30: eval_foo_.critedge_in->eval_foo_stop: 1 {O(1)}
31: eval_foo_bb0_in->eval_foo_bb1_in: 1 {O(1)}
32: eval_foo_bb1_in->eval_foo_bb2_in: inf {Infinity}
33: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
34: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
35: eval_foo_bb1_in->eval_foo_.critedge_in: 1 {O(1)}
36: eval_foo_bb2_in->eval_foo_bb1_in: inf {Infinity}
37: eval_foo_bb2_in->eval_foo_bb3_in: 2*Arg_4*Arg_4+2*Arg_6*Arg_6+4*Arg_4*Arg_6+Arg_6 {O(n^2)}
38: eval_foo_bb2_in->eval_foo_bb3_in: 2*Arg_4*Arg_6+2*Arg_6*Arg_6+Arg_6 {O(n^2)}
39: eval_foo_bb3_in->eval_foo_bb4_in: Arg_4+Arg_6 {O(n)}
40: eval_foo_bb3_in->eval_foo_bb1_in: 2*Arg_4+2*Arg_6 {O(n)}
41: eval_foo_bb4_in->eval_foo_bb3_in: Arg_4+Arg_6+2 {O(n)}
42: eval_foo_start->eval_foo_bb0_in: 1 {O(1)}

Sizebounds

30: eval_foo_.critedge_in->eval_foo_stop, Arg_0: 2*Arg_6+5*Arg_4 {O(n)}
30: eval_foo_.critedge_in->eval_foo_stop, Arg_1: 3*Arg_6+Arg_4 {O(n)}
30: eval_foo_.critedge_in->eval_foo_stop, Arg_2: 3*Arg_2+4*Arg_4+4*Arg_6 {O(n)}
30: eval_foo_.critedge_in->eval_foo_stop, Arg_4: 5*Arg_4 {O(n)}
30: eval_foo_.critedge_in->eval_foo_stop, Arg_6: 5*Arg_6 {O(n)}
31: eval_foo_bb0_in->eval_foo_bb1_in, Arg_0: Arg_4 {O(n)}
31: eval_foo_bb0_in->eval_foo_bb1_in, Arg_1: Arg_6 {O(n)}
31: eval_foo_bb0_in->eval_foo_bb1_in, Arg_2: Arg_2 {O(n)}
31: eval_foo_bb0_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
31: eval_foo_bb0_in->eval_foo_bb1_in, Arg_6: Arg_6 {O(n)}
32: eval_foo_bb1_in->eval_foo_bb2_in, Arg_0: Arg_4+Arg_6 {O(n)}
32: eval_foo_bb1_in->eval_foo_bb2_in, Arg_1: Arg_4+Arg_6 {O(n)}
32: eval_foo_bb1_in->eval_foo_bb2_in, Arg_2: 2*Arg_4+2*Arg_6+Arg_2 {O(n)}
32: eval_foo_bb1_in->eval_foo_bb2_in, Arg_4: Arg_4 {O(n)}
32: eval_foo_bb1_in->eval_foo_bb2_in, Arg_6: Arg_6 {O(n)}
33: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_0: 2*Arg_4+Arg_6 {O(n)}
33: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_1: 0 {O(1)}
33: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_2: 2*Arg_4+2*Arg_6+Arg_2 {O(n)}
33: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_4: 2*Arg_4 {O(n)}
33: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_6: 2*Arg_6 {O(n)}
34: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_0: Arg_4 {O(n)}
34: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_1: Arg_6 {O(n)}
34: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_2: Arg_2 {O(n)}
34: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_4: Arg_4 {O(n)}
34: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_6: Arg_6 {O(n)}
35: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_0: 2*Arg_4+Arg_6 {O(n)}
35: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_1: 2*Arg_6+Arg_4 {O(n)}
35: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_2: 2*Arg_4+2*Arg_6+Arg_2 {O(n)}
35: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_4: 2*Arg_4 {O(n)}
35: eval_foo_bb1_in->eval_foo_.critedge_in, Arg_6: 2*Arg_6 {O(n)}
36: eval_foo_bb2_in->eval_foo_bb1_in, Arg_0: Arg_4+Arg_6 {O(n)}
36: eval_foo_bb2_in->eval_foo_bb1_in, Arg_1: Arg_4+Arg_6 {O(n)}
36: eval_foo_bb2_in->eval_foo_bb1_in, Arg_2: 2*Arg_4+2*Arg_6+Arg_2 {O(n)}
36: eval_foo_bb2_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
36: eval_foo_bb2_in->eval_foo_bb1_in, Arg_6: Arg_6 {O(n)}
37: eval_foo_bb2_in->eval_foo_bb3_in, Arg_0: Arg_4+Arg_6 {O(n)}
37: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: Arg_4+Arg_6 {O(n)}
37: eval_foo_bb2_in->eval_foo_bb3_in, Arg_2: Arg_4+Arg_6 {O(n)}
37: eval_foo_bb2_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
37: eval_foo_bb2_in->eval_foo_bb3_in, Arg_6: Arg_6 {O(n)}
38: eval_foo_bb2_in->eval_foo_bb3_in, Arg_0: Arg_4+Arg_6 {O(n)}
38: eval_foo_bb2_in->eval_foo_bb3_in, Arg_1: Arg_4+Arg_6 {O(n)}
38: eval_foo_bb2_in->eval_foo_bb3_in, Arg_2: Arg_4+Arg_6 {O(n)}
38: eval_foo_bb2_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
38: eval_foo_bb2_in->eval_foo_bb3_in, Arg_6: Arg_6 {O(n)}
39: eval_foo_bb3_in->eval_foo_bb4_in, Arg_0: Arg_4+Arg_6 {O(n)}
39: eval_foo_bb3_in->eval_foo_bb4_in, Arg_1: Arg_4+Arg_6 {O(n)}
39: eval_foo_bb3_in->eval_foo_bb4_in, Arg_2: Arg_4+Arg_6 {O(n)}
39: eval_foo_bb3_in->eval_foo_bb4_in, Arg_4: Arg_4 {O(n)}
39: eval_foo_bb3_in->eval_foo_bb4_in, Arg_6: Arg_6 {O(n)}
40: eval_foo_bb3_in->eval_foo_bb1_in, Arg_0: Arg_4+Arg_6 {O(n)}
40: eval_foo_bb3_in->eval_foo_bb1_in, Arg_1: Arg_4+Arg_6 {O(n)}
40: eval_foo_bb3_in->eval_foo_bb1_in, Arg_2: 2*Arg_4+2*Arg_6 {O(n)}
40: eval_foo_bb3_in->eval_foo_bb1_in, Arg_4: Arg_4 {O(n)}
40: eval_foo_bb3_in->eval_foo_bb1_in, Arg_6: Arg_6 {O(n)}
41: eval_foo_bb4_in->eval_foo_bb3_in, Arg_0: Arg_4+Arg_6 {O(n)}
41: eval_foo_bb4_in->eval_foo_bb3_in, Arg_1: Arg_4+Arg_6 {O(n)}
41: eval_foo_bb4_in->eval_foo_bb3_in, Arg_2: Arg_4+Arg_6 {O(n)}
41: eval_foo_bb4_in->eval_foo_bb3_in, Arg_4: Arg_4 {O(n)}
41: eval_foo_bb4_in->eval_foo_bb3_in, Arg_6: Arg_6 {O(n)}
42: eval_foo_start->eval_foo_bb0_in, Arg_0: Arg_0 {O(n)}
42: eval_foo_start->eval_foo_bb0_in, Arg_1: Arg_1 {O(n)}
42: eval_foo_start->eval_foo_bb0_in, Arg_2: Arg_2 {O(n)}
42: eval_foo_start->eval_foo_bb0_in, Arg_4: Arg_4 {O(n)}
42: eval_foo_start->eval_foo_bb0_in, Arg_6: Arg_6 {O(n)}