Initial Problem

Start: eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: eval_start_0, eval_start_1, eval_start_10, eval_start_11, eval_start_2, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb4_in, eval_start_bb5_in, eval_start_bb6_in, eval_start_start, eval_start_stop
Transitions:
2:eval_start_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
3:eval_start_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
14:eval_start_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
15:eval_start_11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
4:eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb1_in(Arg_0,Arg_2,Arg_2,Arg_3,Arg_4):|:0<=Arg_3
5:eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_3<0
1:eval_start_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
6:eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_3<Arg_1
7:eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<=Arg_3
8:eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb3_in(Arg_1-Arg_3-1,Arg_1,Arg_2,Arg_3,2*Arg_3+100)
10:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb1_in(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4):|:Arg_4<=0
9:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<Arg_4
11:eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1)
12:eval_start_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
13:eval_start_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
0:eval_start_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

Found invariant 1+Arg_3<=0 for location eval_start_10

Found invariant 0<=Arg_3 && Arg_1<=Arg_2 for location eval_start_bb1_in

Found invariant 1+Arg_3<=0 for location eval_start_bb6_in

Found invariant 0<=Arg_3 && Arg_1<=Arg_3 && Arg_1<=Arg_2 for location eval_start_bb5_in

Found invariant 1+Arg_3<=0 for location eval_start_11

Found invariant 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1 for location eval_start_bb2_in

Found invariant 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 for location eval_start_bb3_in

Found invariant 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 for location eval_start_bb4_in

Problem after Preprocessing

Start: eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: eval_start_0, eval_start_1, eval_start_10, eval_start_11, eval_start_2, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb4_in, eval_start_bb5_in, eval_start_bb6_in, eval_start_start, eval_start_stop
Transitions:
2:eval_start_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
3:eval_start_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
14:eval_start_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1+Arg_3<=0
15:eval_start_11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1+Arg_3<=0
4:eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb1_in(Arg_0,Arg_2,Arg_2,Arg_3,Arg_4):|:0<=Arg_3
5:eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_3<0
1:eval_start_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
6:eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && Arg_1<=Arg_2 && Arg_3<Arg_1
7:eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && Arg_1<=Arg_2 && Arg_1<=Arg_3
8:eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb3_in(Arg_1-Arg_3-1,Arg_1,Arg_2,Arg_3,2*Arg_3+100):|:1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1
10:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb1_in(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4):|:1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_4<=0
9:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<Arg_4
11:eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1
12:eval_start_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && Arg_1<=Arg_3 && Arg_1<=Arg_2
13:eval_start_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1+Arg_3<=0
0:eval_start_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

MPRF for transition 6:eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && Arg_1<=Arg_2 && Arg_3<Arg_1 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

eval_start_bb2_in [Arg_1-1 ]
eval_start_bb1_in [Arg_1 ]
eval_start_bb4_in [Arg_1-1 ]
eval_start_bb3_in [Arg_1-1 ]

MPRF for transition 8:eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb3_in(Arg_1-Arg_3-1,Arg_1,Arg_2,Arg_3,2*Arg_3+100):|:1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

eval_start_bb2_in [Arg_1 ]
eval_start_bb1_in [Arg_1 ]
eval_start_bb4_in [Arg_1-1 ]
eval_start_bb3_in [Arg_1-1 ]

MPRF for transition 10:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb1_in(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4):|:1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_4<=0 of depth 1:

new bound:

2*Arg_2+1 {O(n)}

MPRF:

eval_start_bb2_in [Arg_1+Arg_2-1 ]
eval_start_bb1_in [Arg_1+Arg_2-1 ]
eval_start_bb4_in [Arg_0+Arg_2 ]
eval_start_bb3_in [Arg_0+Arg_2 ]

MPRF for transition 9:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<Arg_4 of depth 1:

new bound:

4*Arg_2*Arg_2+4*Arg_2*Arg_3+200*Arg_2+4*Arg_3+196 {O(n^2)}

MPRF:

eval_start_bb1_in [2*Arg_1+2*Arg_3+98 ]
eval_start_bb2_in [2*Arg_1+2*Arg_3+98 ]
eval_start_bb4_in [2*Arg_0+2*Arg_3+Arg_4-1 ]
eval_start_bb3_in [2*Arg_0+2*Arg_3+Arg_4 ]

MPRF for transition 11:eval_start_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 of depth 1:

new bound:

4*Arg_2*Arg_2+4*Arg_2*Arg_3+200*Arg_2+4*Arg_3+196 {O(n^2)}

MPRF:

eval_start_bb1_in [2*Arg_1+2*Arg_3+98 ]
eval_start_bb2_in [2*Arg_1+2*Arg_3+98 ]
eval_start_bb4_in [2*Arg_0+2*Arg_3+Arg_4 ]
eval_start_bb3_in [2*Arg_0+2*Arg_3+Arg_4 ]

Analysing control-flow refined program

Cut unsatisfiable transition 10: eval_start_bb3_in->eval_start_bb1_in

Cut unsatisfiable transition 105: n_eval_start_bb3_in___4->eval_start_bb1_in

Found invariant 99<=Arg_4 && 99<=Arg_3+Arg_4 && 99+Arg_3<=Arg_4 && 100<=Arg_2+Arg_4 && 100<=Arg_1+Arg_4 && 99<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_start_bb3_in___4

Found invariant 0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_start_bb3_in___2

Found invariant 1+Arg_3<=0 for location eval_start_10

Found invariant 0<=Arg_3 && Arg_1<=Arg_2 for location eval_start_bb1_in

Found invariant 1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_start_bb4_in___1

Found invariant 1+Arg_3<=0 for location eval_start_bb6_in

Found invariant 0<=Arg_3 && Arg_1<=Arg_3 && Arg_1<=Arg_2 for location eval_start_bb5_in

Found invariant 1+Arg_3<=0 for location eval_start_11

Found invariant 99<=Arg_4 && 99<=Arg_3+Arg_4 && 99+Arg_3<=Arg_4 && 100<=Arg_2+Arg_4 && 100<=Arg_1+Arg_4 && 99<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_start_bb4_in___3

Found invariant 100<=Arg_4 && 100<=Arg_3+Arg_4 && 100+Arg_3<=Arg_4 && 101<=Arg_2+Arg_4 && 101<=Arg_1+Arg_4 && 100<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_start_bb4_in___5

Found invariant 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1 for location eval_start_bb2_in

Found invariant 100<=Arg_4 && 100<=Arg_3+Arg_4 && 100+Arg_3<=Arg_4 && 101<=Arg_2+Arg_4 && 101<=Arg_1+Arg_4 && 100<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 for location eval_start_bb3_in

knowledge_propagation leads to new time bound Arg_2 {O(n)} for transition 96:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:100<=Arg_4 && 100<=Arg_3+Arg_4 && 100+Arg_3<=Arg_4 && 101<=Arg_2+Arg_4 && 101<=Arg_1+Arg_4 && 100<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1<=Arg_4 && Arg_1<=Arg_2 && 1<=Arg_4 && 0<=Arg_0+Arg_3 && 0<=Arg_3 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && Arg_1<=Arg_2 && 0<=Arg_4 && 0<=Arg_0+Arg_3 && 0<=Arg_3 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && 100+2*Arg_3<=Arg_4 && Arg_4<=100+2*Arg_3 && 1+Arg_0+Arg_3<=Arg_1 && Arg_1<=1+Arg_0+Arg_3 && 0<=Arg_0 && 0<=Arg_3 && 1+Arg_0+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3

knowledge_propagation leads to new time bound Arg_2 {O(n)} for transition 99:n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb3_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1):|:100<=Arg_4 && 100<=Arg_3+Arg_4 && 100+Arg_3<=Arg_4 && 101<=Arg_2+Arg_4 && 101<=Arg_1+Arg_4 && 100<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 2*Arg_0+Arg_4<=98+2*Arg_2 && 100<=Arg_4 && 0<=Arg_0 && 2*Arg_0+Arg_4<=2*Arg_1+98 && 98+2*Arg_1<=2*Arg_0+Arg_4 && 2*Arg_3+100<=Arg_4 && Arg_4<=100+2*Arg_3 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3

knowledge_propagation leads to new time bound Arg_2 {O(n)} for transition 95:n_eval_start_bb3_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb4_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:99<=Arg_4 && 99<=Arg_3+Arg_4 && 99+Arg_3<=Arg_4 && 100<=Arg_2+Arg_4 && 100<=Arg_1+Arg_4 && 99<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_3<=Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1<=Arg_4 && Arg_1<=Arg_2 && 1<=Arg_4 && 0<=Arg_0+Arg_3 && 0<=Arg_3 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && Arg_1<=Arg_2 && 0<=Arg_4 && 0<=Arg_0+Arg_3 && 0<=Arg_3 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3

knowledge_propagation leads to new time bound Arg_2 {O(n)} for transition 98:n_eval_start_bb4_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1):|:99<=Arg_4 && 99<=Arg_3+Arg_4 && 99+Arg_3<=Arg_4 && 100<=Arg_2+Arg_4 && 100<=Arg_1+Arg_4 && 99<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_3<=Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_4 && Arg_1<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3

MPRF for transition 94:n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_3<=Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_1<=Arg_2 && Arg_1<=Arg_2 && 0<=Arg_4 && 0<=Arg_0+Arg_3 && 0<=Arg_3 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3 of depth 1:

new bound:

98*Arg_2+1 {O(n)}

MPRF:

eval_start_bb2_in [98*Arg_1+1 ]
eval_start_bb3_in [98*Arg_1+1 ]
eval_start_bb1_in [98*Arg_1+1 ]
n_eval_start_bb4_in___1 [98*Arg_0+Arg_4 ]
n_eval_start_bb4_in___3 [98*Arg_0+Arg_4 ]
n_eval_start_bb3_in___2 [98*Arg_0+Arg_4+1 ]
n_eval_start_bb4_in___5 [98*Arg_0+Arg_4-1 ]
n_eval_start_bb3_in___4 [98*Arg_0+Arg_4 ]

MPRF for transition 104:n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb1_in(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_4<=0 of depth 1:

new bound:

Arg_2 {O(n)}

MPRF:

eval_start_bb2_in [Arg_1 ]
eval_start_bb3_in [Arg_1 ]
eval_start_bb1_in [Arg_1 ]
n_eval_start_bb4_in___1 [Arg_1 ]
n_eval_start_bb4_in___3 [Arg_1 ]
n_eval_start_bb3_in___2 [Arg_1 ]
n_eval_start_bb4_in___5 [Arg_1 ]
n_eval_start_bb3_in___4 [Arg_1 ]

MPRF for transition 97:n_eval_start_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_3<=Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3 of depth 1:

new bound:

98*Arg_2 {O(n)}

MPRF:

eval_start_bb2_in [98*Arg_1 ]
eval_start_bb3_in [98*Arg_1+Arg_4-2*Arg_3-100 ]
eval_start_bb1_in [98*Arg_1 ]
n_eval_start_bb4_in___1 [98*Arg_0+Arg_4 ]
n_eval_start_bb4_in___3 [2*Arg_0+96*Arg_1+Arg_4-97 ]
n_eval_start_bb3_in___2 [98*Arg_0+Arg_4 ]
n_eval_start_bb4_in___5 [2*Arg_0+96*Arg_1+Arg_4-98 ]
n_eval_start_bb3_in___4 [2*Arg_0+96*Arg_1+Arg_4-97 ]

CFR: Improvement to new bound with the following program:

new bound:

203*Arg_2+1 {O(n)}

cfr-program:

Start: eval_start_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: eval_start_0, eval_start_1, eval_start_10, eval_start_11, eval_start_2, eval_start_bb0_in, eval_start_bb1_in, eval_start_bb2_in, eval_start_bb3_in, eval_start_bb5_in, eval_start_bb6_in, eval_start_start, eval_start_stop, n_eval_start_bb3_in___2, n_eval_start_bb3_in___4, n_eval_start_bb4_in___1, n_eval_start_bb4_in___3, n_eval_start_bb4_in___5
Transitions:
2:eval_start_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
3:eval_start_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
14:eval_start_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1+Arg_3<=0 && 1+Arg_3<=0
15:eval_start_11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1+Arg_3<=0 && 1+Arg_3<=0
4:eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb1_in(Arg_0,Arg_2,Arg_2,Arg_3,Arg_4):|:0<=Arg_3
5:eval_start_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_3<0
1:eval_start_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
6:eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && Arg_1<=Arg_2 && 0<=Arg_3 && Arg_1<=Arg_2 && Arg_3<Arg_1
7:eval_start_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && Arg_1<=Arg_2 && 0<=Arg_3 && Arg_1<=Arg_2 && Arg_1<=Arg_3
8:eval_start_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb3_in(Arg_1-Arg_3-1,Arg_1,Arg_2,Arg_3,2*Arg_3+100):|:1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_1
96:eval_start_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:100<=Arg_4 && 100<=Arg_3+Arg_4 && 100+Arg_3<=Arg_4 && 101<=Arg_2+Arg_4 && 101<=Arg_1+Arg_4 && 100<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1<=Arg_4 && Arg_1<=Arg_2 && 1<=Arg_4 && 0<=Arg_0+Arg_3 && 0<=Arg_3 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && Arg_1<=Arg_2 && 0<=Arg_4 && 0<=Arg_0+Arg_3 && 0<=Arg_3 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && 100+2*Arg_3<=Arg_4 && Arg_4<=100+2*Arg_3 && 1+Arg_0+Arg_3<=Arg_1 && Arg_1<=1+Arg_0+Arg_3 && 0<=Arg_0 && 0<=Arg_3 && 1+Arg_0+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3
12:eval_start_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_3 && Arg_1<=Arg_3 && Arg_1<=Arg_2 && 0<=Arg_3 && Arg_1<=Arg_3 && Arg_1<=Arg_2
13:eval_start_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1+Arg_3<=0 && 1+Arg_3<=0
0:eval_start_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
104:n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_start_bb1_in(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && Arg_4<=0
94:n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:0<=Arg_4 && 0<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_3<=Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && Arg_1<=Arg_2 && Arg_1<=Arg_2 && 0<=Arg_4 && 0<=Arg_0+Arg_3 && 0<=Arg_3 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3
95:n_eval_start_bb3_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb4_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:99<=Arg_4 && 99<=Arg_3+Arg_4 && 99+Arg_3<=Arg_4 && 100<=Arg_2+Arg_4 && 100<=Arg_1+Arg_4 && 99<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_3<=Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1<=Arg_4 && Arg_1<=Arg_2 && 1<=Arg_4 && 0<=Arg_0+Arg_3 && 0<=Arg_3 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && Arg_1<=Arg_2 && 0<=Arg_4 && 0<=Arg_0+Arg_3 && 0<=Arg_3 && 1+Arg_0<=Arg_1 && 1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3
97:n_eval_start_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1):|:1<=Arg_4 && 1<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_3<=Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && 0<Arg_4 && Arg_1<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3
98:n_eval_start_bb4_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb3_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1):|:99<=Arg_4 && 99<=Arg_3+Arg_4 && 99+Arg_3<=Arg_4 && 100<=Arg_2+Arg_4 && 100<=Arg_1+Arg_4 && 99<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_3<=Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_4 && Arg_1<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3
99:n_eval_start_bb4_in___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_start_bb3_in___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1):|:100<=Arg_4 && 100<=Arg_3+Arg_4 && 100+Arg_3<=Arg_4 && 101<=Arg_2+Arg_4 && 101<=Arg_1+Arg_4 && 100<=Arg_0+Arg_4 && 1+Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 1<=Arg_0+Arg_2 && 1+Arg_0<=Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 2*Arg_0+Arg_4<=98+2*Arg_2 && 100<=Arg_4 && 0<=Arg_0 && 2*Arg_0+Arg_4<=2*Arg_1+98 && 98+2*Arg_1<=2*Arg_0+Arg_4 && 2*Arg_3+100<=Arg_4 && Arg_4<=100+2*Arg_3 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_4 && Arg_1<=Arg_2 && 1+Arg_0<=Arg_1 && 0<=Arg_0+Arg_3

All Bounds

Timebounds

Overall timebound:203*Arg_2+12 {O(n)}
2: eval_start_0->eval_start_1: 1 {O(1)}
3: eval_start_1->eval_start_2: 1 {O(1)}
14: eval_start_10->eval_start_11: 1 {O(1)}
15: eval_start_11->eval_start_stop: 1 {O(1)}
4: eval_start_2->eval_start_bb1_in: 1 {O(1)}
5: eval_start_2->eval_start_bb6_in: 1 {O(1)}
1: eval_start_bb0_in->eval_start_0: 1 {O(1)}
6: eval_start_bb1_in->eval_start_bb2_in: Arg_2 {O(n)}
7: eval_start_bb1_in->eval_start_bb5_in: 1 {O(1)}
8: eval_start_bb2_in->eval_start_bb3_in: Arg_2 {O(n)}
96: eval_start_bb3_in->n_eval_start_bb4_in___5: Arg_2 {O(n)}
12: eval_start_bb5_in->eval_start_stop: 1 {O(1)}
13: eval_start_bb6_in->eval_start_10: 1 {O(1)}
0: eval_start_start->eval_start_bb0_in: 1 {O(1)}
94: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1: 98*Arg_2+1 {O(n)}
104: n_eval_start_bb3_in___2->eval_start_bb1_in: Arg_2 {O(n)}
95: n_eval_start_bb3_in___4->n_eval_start_bb4_in___3: Arg_2 {O(n)}
97: n_eval_start_bb4_in___1->n_eval_start_bb3_in___2: 98*Arg_2 {O(n)}
98: n_eval_start_bb4_in___3->n_eval_start_bb3_in___2: Arg_2 {O(n)}
99: n_eval_start_bb4_in___5->n_eval_start_bb3_in___4: Arg_2 {O(n)}

Costbounds

Overall costbound: 203*Arg_2+12 {O(n)}
2: eval_start_0->eval_start_1: 1 {O(1)}
3: eval_start_1->eval_start_2: 1 {O(1)}
14: eval_start_10->eval_start_11: 1 {O(1)}
15: eval_start_11->eval_start_stop: 1 {O(1)}
4: eval_start_2->eval_start_bb1_in: 1 {O(1)}
5: eval_start_2->eval_start_bb6_in: 1 {O(1)}
1: eval_start_bb0_in->eval_start_0: 1 {O(1)}
6: eval_start_bb1_in->eval_start_bb2_in: Arg_2 {O(n)}
7: eval_start_bb1_in->eval_start_bb5_in: 1 {O(1)}
8: eval_start_bb2_in->eval_start_bb3_in: Arg_2 {O(n)}
96: eval_start_bb3_in->n_eval_start_bb4_in___5: Arg_2 {O(n)}
12: eval_start_bb5_in->eval_start_stop: 1 {O(1)}
13: eval_start_bb6_in->eval_start_10: 1 {O(1)}
0: eval_start_start->eval_start_bb0_in: 1 {O(1)}
94: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1: 98*Arg_2+1 {O(n)}
104: n_eval_start_bb3_in___2->eval_start_bb1_in: Arg_2 {O(n)}
95: n_eval_start_bb3_in___4->n_eval_start_bb4_in___3: Arg_2 {O(n)}
97: n_eval_start_bb4_in___1->n_eval_start_bb3_in___2: 98*Arg_2 {O(n)}
98: n_eval_start_bb4_in___3->n_eval_start_bb3_in___2: Arg_2 {O(n)}
99: n_eval_start_bb4_in___5->n_eval_start_bb3_in___4: Arg_2 {O(n)}

Sizebounds

2: eval_start_0->eval_start_1, Arg_0: Arg_0 {O(n)}
2: eval_start_0->eval_start_1, Arg_1: Arg_1 {O(n)}
2: eval_start_0->eval_start_1, Arg_2: Arg_2 {O(n)}
2: eval_start_0->eval_start_1, Arg_3: Arg_3 {O(n)}
2: eval_start_0->eval_start_1, Arg_4: Arg_4 {O(n)}
3: eval_start_1->eval_start_2, Arg_0: Arg_0 {O(n)}
3: eval_start_1->eval_start_2, Arg_1: Arg_1 {O(n)}
3: eval_start_1->eval_start_2, Arg_2: Arg_2 {O(n)}
3: eval_start_1->eval_start_2, Arg_3: Arg_3 {O(n)}
3: eval_start_1->eval_start_2, Arg_4: Arg_4 {O(n)}
14: eval_start_10->eval_start_11, Arg_0: Arg_0 {O(n)}
14: eval_start_10->eval_start_11, Arg_1: Arg_1 {O(n)}
14: eval_start_10->eval_start_11, Arg_2: Arg_2 {O(n)}
14: eval_start_10->eval_start_11, Arg_3: Arg_3 {O(n)}
14: eval_start_10->eval_start_11, Arg_4: Arg_4 {O(n)}
15: eval_start_11->eval_start_stop, Arg_0: Arg_0 {O(n)}
15: eval_start_11->eval_start_stop, Arg_1: Arg_1 {O(n)}
15: eval_start_11->eval_start_stop, Arg_2: Arg_2 {O(n)}
15: eval_start_11->eval_start_stop, Arg_3: Arg_3 {O(n)}
15: eval_start_11->eval_start_stop, Arg_4: Arg_4 {O(n)}
4: eval_start_2->eval_start_bb1_in, Arg_0: Arg_0 {O(n)}
4: eval_start_2->eval_start_bb1_in, Arg_1: Arg_2 {O(n)}
4: eval_start_2->eval_start_bb1_in, Arg_2: Arg_2 {O(n)}
4: eval_start_2->eval_start_bb1_in, Arg_3: Arg_3 {O(n)}
4: eval_start_2->eval_start_bb1_in, Arg_4: Arg_4 {O(n)}
5: eval_start_2->eval_start_bb6_in, Arg_0: Arg_0 {O(n)}
5: eval_start_2->eval_start_bb6_in, Arg_1: Arg_1 {O(n)}
5: eval_start_2->eval_start_bb6_in, Arg_2: Arg_2 {O(n)}
5: eval_start_2->eval_start_bb6_in, Arg_3: Arg_3 {O(n)}
5: eval_start_2->eval_start_bb6_in, Arg_4: Arg_4 {O(n)}
1: eval_start_bb0_in->eval_start_0, Arg_0: Arg_0 {O(n)}
1: eval_start_bb0_in->eval_start_0, Arg_1: Arg_1 {O(n)}
1: eval_start_bb0_in->eval_start_0, Arg_2: Arg_2 {O(n)}
1: eval_start_bb0_in->eval_start_0, Arg_3: Arg_3 {O(n)}
1: eval_start_bb0_in->eval_start_0, Arg_4: Arg_4 {O(n)}
6: eval_start_bb1_in->eval_start_bb2_in, Arg_0: Arg_0+Arg_2 {O(n)}
6: eval_start_bb1_in->eval_start_bb2_in, Arg_1: Arg_2 {O(n)}
6: eval_start_bb1_in->eval_start_bb2_in, Arg_2: Arg_2 {O(n)}
6: eval_start_bb1_in->eval_start_bb2_in, Arg_3: Arg_3 {O(n)}
6: eval_start_bb1_in->eval_start_bb2_in, Arg_4: Arg_4 {O(n)}
7: eval_start_bb1_in->eval_start_bb5_in, Arg_0: Arg_0+Arg_2 {O(n)}
7: eval_start_bb1_in->eval_start_bb5_in, Arg_1: 2*Arg_2 {O(n)}
7: eval_start_bb1_in->eval_start_bb5_in, Arg_2: 2*Arg_2 {O(n)}
7: eval_start_bb1_in->eval_start_bb5_in, Arg_3: 2*Arg_3 {O(n)}
7: eval_start_bb1_in->eval_start_bb5_in, Arg_4: Arg_4 {O(n)}
8: eval_start_bb2_in->eval_start_bb3_in, Arg_0: Arg_2 {O(n)}
8: eval_start_bb2_in->eval_start_bb3_in, Arg_1: Arg_2 {O(n)}
8: eval_start_bb2_in->eval_start_bb3_in, Arg_2: Arg_2 {O(n)}
8: eval_start_bb2_in->eval_start_bb3_in, Arg_3: Arg_3 {O(n)}
8: eval_start_bb2_in->eval_start_bb3_in, Arg_4: 2*Arg_3+100 {O(n)}
10: eval_start_bb3_in->eval_start_bb1_in, Arg_0: Arg_2 {O(n)}
10: eval_start_bb3_in->eval_start_bb1_in, Arg_1: Arg_2 {O(n)}
10: eval_start_bb3_in->eval_start_bb1_in, Arg_2: Arg_2 {O(n)}
10: eval_start_bb3_in->eval_start_bb1_in, Arg_3: Arg_3 {O(n)}
10: eval_start_bb3_in->eval_start_bb1_in, Arg_4: 2*Arg_3+100 {O(n)}
96: eval_start_bb3_in->n_eval_start_bb4_in___5, Arg_0: Arg_2 {O(n)}
96: eval_start_bb3_in->n_eval_start_bb4_in___5, Arg_1: Arg_2 {O(n)}
96: eval_start_bb3_in->n_eval_start_bb4_in___5, Arg_2: Arg_2 {O(n)}
96: eval_start_bb3_in->n_eval_start_bb4_in___5, Arg_3: Arg_3 {O(n)}
96: eval_start_bb3_in->n_eval_start_bb4_in___5, Arg_4: 2*Arg_3+100 {O(n)}
12: eval_start_bb5_in->eval_start_stop, Arg_0: Arg_0+Arg_2 {O(n)}
12: eval_start_bb5_in->eval_start_stop, Arg_1: 2*Arg_2 {O(n)}
12: eval_start_bb5_in->eval_start_stop, Arg_2: 2*Arg_2 {O(n)}
12: eval_start_bb5_in->eval_start_stop, Arg_3: 2*Arg_3 {O(n)}
12: eval_start_bb5_in->eval_start_stop, Arg_4: Arg_4 {O(n)}
13: eval_start_bb6_in->eval_start_10, Arg_0: Arg_0 {O(n)}
13: eval_start_bb6_in->eval_start_10, Arg_1: Arg_1 {O(n)}
13: eval_start_bb6_in->eval_start_10, Arg_2: Arg_2 {O(n)}
13: eval_start_bb6_in->eval_start_10, Arg_3: Arg_3 {O(n)}
13: eval_start_bb6_in->eval_start_10, Arg_4: Arg_4 {O(n)}
0: eval_start_start->eval_start_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_start_start->eval_start_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_start_start->eval_start_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_start_start->eval_start_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_start_start->eval_start_bb0_in, Arg_4: Arg_4 {O(n)}
94: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1, Arg_0: Arg_2 {O(n)}
94: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1, Arg_1: Arg_2 {O(n)}
94: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1, Arg_2: Arg_2 {O(n)}
94: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1, Arg_3: Arg_3 {O(n)}
94: n_eval_start_bb3_in___2->n_eval_start_bb4_in___1, Arg_4: 2*Arg_3+100 {O(n)}
104: n_eval_start_bb3_in___2->eval_start_bb1_in, Arg_0: Arg_2 {O(n)}
104: n_eval_start_bb3_in___2->eval_start_bb1_in, Arg_1: Arg_2 {O(n)}
104: n_eval_start_bb3_in___2->eval_start_bb1_in, Arg_2: Arg_2 {O(n)}
104: n_eval_start_bb3_in___2->eval_start_bb1_in, Arg_3: Arg_3 {O(n)}
104: n_eval_start_bb3_in___2->eval_start_bb1_in, Arg_4: 0 {O(1)}
95: n_eval_start_bb3_in___4->n_eval_start_bb4_in___3, Arg_0: Arg_2 {O(n)}
95: n_eval_start_bb3_in___4->n_eval_start_bb4_in___3, Arg_1: Arg_2 {O(n)}
95: n_eval_start_bb3_in___4->n_eval_start_bb4_in___3, Arg_2: Arg_2 {O(n)}
95: n_eval_start_bb3_in___4->n_eval_start_bb4_in___3, Arg_3: Arg_3 {O(n)}
95: n_eval_start_bb3_in___4->n_eval_start_bb4_in___3, Arg_4: 2*Arg_3+100 {O(n)}
97: n_eval_start_bb4_in___1->n_eval_start_bb3_in___2, Arg_0: Arg_2 {O(n)}
97: n_eval_start_bb4_in___1->n_eval_start_bb3_in___2, Arg_1: Arg_2 {O(n)}
97: n_eval_start_bb4_in___1->n_eval_start_bb3_in___2, Arg_2: Arg_2 {O(n)}
97: n_eval_start_bb4_in___1->n_eval_start_bb3_in___2, Arg_3: Arg_3 {O(n)}
97: n_eval_start_bb4_in___1->n_eval_start_bb3_in___2, Arg_4: 2*Arg_3+100 {O(n)}
98: n_eval_start_bb4_in___3->n_eval_start_bb3_in___2, Arg_0: Arg_2 {O(n)}
98: n_eval_start_bb4_in___3->n_eval_start_bb3_in___2, Arg_1: Arg_2 {O(n)}
98: n_eval_start_bb4_in___3->n_eval_start_bb3_in___2, Arg_2: Arg_2 {O(n)}
98: n_eval_start_bb4_in___3->n_eval_start_bb3_in___2, Arg_3: Arg_3 {O(n)}
98: n_eval_start_bb4_in___3->n_eval_start_bb3_in___2, Arg_4: 2*Arg_3+100 {O(n)}
99: n_eval_start_bb4_in___5->n_eval_start_bb3_in___4, Arg_0: Arg_2 {O(n)}
99: n_eval_start_bb4_in___5->n_eval_start_bb3_in___4, Arg_1: Arg_2 {O(n)}
99: n_eval_start_bb4_in___5->n_eval_start_bb3_in___4, Arg_2: Arg_2 {O(n)}
99: n_eval_start_bb4_in___5->n_eval_start_bb3_in___4, Arg_3: Arg_3 {O(n)}
99: n_eval_start_bb4_in___5->n_eval_start_bb3_in___4, Arg_4: 2*Arg_3+100 {O(n)}