Initial Problem

Start: eval_abc_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: eval_abc_0, eval_abc_1, eval_abc_10, eval_abc_2, eval_abc_3, eval_abc_4, eval_abc_5, eval_abc_9, eval_abc_bb0_in, eval_abc_bb1_in, eval_abc_bb2_in, eval_abc_bb3_in, eval_abc_bb4_in, eval_abc_bb5_in, eval_abc_start, eval_abc_stop
Transitions:
2:eval_abc_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
3:eval_abc_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
15:eval_abc_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb1_in(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4)
4:eval_abc_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
5:eval_abc_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
6:eval_abc_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
7:eval_abc_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb1_in(Arg_0,Arg_4,Arg_2,Arg_3,Arg_4)
14:eval_abc_9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
1:eval_abc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
8:eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_3,Arg_3,Arg_4):|:1<=Arg_1
9:eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<1
10:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_2
11:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_2<1
12:eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4)
13:eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_9(Arg_1-1,Arg_1,Arg_2,Arg_3,Arg_4)
16:eval_abc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
0:eval_abc_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

Preprocessing

Found invariant 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && 1<=Arg_1 for location eval_abc_bb2_in

Found invariant 1<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location eval_abc_10

Found invariant 1<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 1<=Arg_1 for location eval_abc_bb4_in

Found invariant 1<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location eval_abc_9

Found invariant Arg_1<=Arg_4 for location eval_abc_bb1_in

Found invariant Arg_1<=Arg_4 && Arg_1<=0 for location eval_abc_stop

Found invariant 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 for location eval_abc_bb3_in

Found invariant Arg_1<=Arg_4 && Arg_1<=0 for location eval_abc_bb5_in

Problem after Preprocessing

Start: eval_abc_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: eval_abc_0, eval_abc_1, eval_abc_10, eval_abc_2, eval_abc_3, eval_abc_4, eval_abc_5, eval_abc_9, eval_abc_bb0_in, eval_abc_bb1_in, eval_abc_bb2_in, eval_abc_bb3_in, eval_abc_bb4_in, eval_abc_bb5_in, eval_abc_start, eval_abc_stop
Transitions:
2:eval_abc_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
3:eval_abc_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
15:eval_abc_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb1_in(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0
4:eval_abc_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
5:eval_abc_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
6:eval_abc_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
7:eval_abc_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb1_in(Arg_0,Arg_4,Arg_2,Arg_3,Arg_4)
14:eval_abc_9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0
1:eval_abc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
8:eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_3,Arg_3,Arg_4):|:Arg_1<=Arg_4 && 1<=Arg_1
9:eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<=Arg_4 && Arg_1<1
10:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && 1<=Arg_1 && 1<=Arg_2
11:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && 1<=Arg_1 && Arg_2<1
12:eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1
13:eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_9(Arg_1-1,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 1<=Arg_1
16:eval_abc_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:Arg_1<=Arg_4 && Arg_1<=0
0:eval_abc_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)

MPRF for transition 15:eval_abc_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb1_in(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_abc_10 [Arg_0+1 ]
eval_abc_bb1_in [Arg_1 ]
eval_abc_bb3_in [Arg_1 ]
eval_abc_bb2_in [Arg_1 ]
eval_abc_bb4_in [Arg_1 ]
eval_abc_9 [Arg_0+1 ]

MPRF for transition 14:eval_abc_9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_abc_10 [Arg_1-1 ]
eval_abc_bb1_in [Arg_1 ]
eval_abc_bb3_in [Arg_1 ]
eval_abc_bb2_in [Arg_1 ]
eval_abc_bb4_in [Arg_1 ]
eval_abc_9 [Arg_0+1 ]

MPRF for transition 8:eval_abc_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_3,Arg_3,Arg_4):|:Arg_1<=Arg_4 && 1<=Arg_1 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_abc_10 [Arg_0 ]
eval_abc_bb1_in [Arg_1 ]
eval_abc_bb3_in [Arg_1-1 ]
eval_abc_bb2_in [Arg_1-1 ]
eval_abc_bb4_in [Arg_1-1 ]
eval_abc_9 [Arg_0 ]

MPRF for transition 11:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && 1<=Arg_1 && Arg_2<1 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_abc_10 [Arg_0 ]
eval_abc_bb1_in [Arg_1 ]
eval_abc_bb3_in [Arg_1 ]
eval_abc_bb2_in [Arg_1 ]
eval_abc_bb4_in [Arg_1-1 ]
eval_abc_9 [Arg_1-1 ]

MPRF for transition 13:eval_abc_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_9(Arg_1-1,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 1<=Arg_1 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

eval_abc_10 [Arg_0 ]
eval_abc_bb1_in [Arg_1 ]
eval_abc_bb3_in [Arg_1 ]
eval_abc_bb2_in [Arg_1 ]
eval_abc_bb4_in [Arg_1 ]
eval_abc_9 [Arg_1-1 ]

MPRF for transition 10:eval_abc_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && 1<=Arg_1 && 1<=Arg_2 of depth 1:

new bound:

Arg_3*Arg_4+Arg_3 {O(n^2)}

MPRF:

eval_abc_9 [Arg_3 ]
eval_abc_10 [Arg_3 ]
eval_abc_bb1_in [Arg_3 ]
eval_abc_bb4_in [Arg_2 ]
eval_abc_bb3_in [Arg_2-1 ]
eval_abc_bb2_in [Arg_2 ]

MPRF for transition 12:eval_abc_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> eval_abc_bb2_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 of depth 1:

new bound:

Arg_3*Arg_4+Arg_3 {O(n^2)}

MPRF:

eval_abc_9 [Arg_3 ]
eval_abc_10 [Arg_3 ]
eval_abc_bb1_in [Arg_3 ]
eval_abc_bb4_in [Arg_2 ]
eval_abc_bb3_in [Arg_2 ]
eval_abc_bb2_in [Arg_2 ]

Analysing control-flow refined program

Found invariant 1<=Arg_4 && 1+Arg_3<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=0 && Arg_3<=Arg_2 && Arg_2+Arg_3<=0 && 1+Arg_3<=Arg_1 && Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_abc_9___5

Found invariant 1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_abc_9___9

Found invariant 1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_abc_10___8

Found invariant 2<=Arg_4 && 2+Arg_3<=Arg_4 && 2+Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=0 && Arg_3<=Arg_2 && Arg_2+Arg_3<=0 && 1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_abc_bb4_in___1

Found invariant 1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_abc_bb4_in___10

Found invariant Arg_4<=Arg_1 && 1<=Arg_4 && 1+Arg_3<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_3<=0 && Arg_3<=Arg_2 && Arg_2+Arg_3<=0 && 1+Arg_3<=Arg_1 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 1<=Arg_1 for location n_eval_abc_bb4_in___13

Found invariant 1<=Arg_4 && 1+Arg_3<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=0 && Arg_3<=Arg_2 && Arg_2+Arg_3<=0 && 1+Arg_3<=Arg_1 && Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_abc_10___4

Found invariant 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_2 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_abc_bb3_in___14

Found invariant 1<=Arg_4 && 1+Arg_3<=Arg_4 && 1+Arg_2<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=0 && Arg_3<=Arg_2 && Arg_2+Arg_3<=0 && Arg_3<=Arg_1 && Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_abc_bb1_in___3

Found invariant 1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 for location n_eval_abc_bb1_in___7

Found invariant Arg_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_2 && Arg_2<=Arg_3 && 1<=Arg_1 for location n_eval_abc_bb2_in___15

Found invariant 2<=Arg_4 && 3<=Arg_3+Arg_4 && 3<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=Arg_2 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 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_abc_bb2_in___6

Found invariant Arg_4<=Arg_1 && Arg_1<=Arg_4 for location eval_abc_bb1_in

Found invariant Arg_1<=Arg_4 && Arg_1<=0 for location eval_abc_stop

Found invariant 1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_abc_bb2_in___12

Found invariant 1<=Arg_4 && 3<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 for location n_eval_abc_bb3_in___11

Found invariant Arg_1<=Arg_4 && Arg_1<=0 for location eval_abc_bb5_in

Found invariant 2<=Arg_4 && 2+Arg_3<=Arg_4 && 2+Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=0 && Arg_3<=Arg_2 && Arg_2+Arg_3<=0 && 1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 for location n_eval_abc_bb2_in___2

MPRF for transition 116:n_eval_abc_10___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_bb1_in___7(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_4 && 1<=Arg_3 && 0<=Arg_0 && Arg_0+1<=Arg_1 && Arg_1<=1+Arg_0 && Arg_2<=0 && 0<=Arg_2 && Arg_2<=Arg_3 && 0<=Arg_0 && Arg_2<=0 && 1+Arg_0<=Arg_4 && Arg_0+1<=Arg_1 && Arg_1<=1+Arg_0 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

n_eval_abc_10___8 [Arg_0+1 ]
n_eval_abc_bb1_in___7 [Arg_0 ]
n_eval_abc_bb2_in___6 [Arg_0 ]
n_eval_abc_bb3_in___11 [Arg_1 ]
n_eval_abc_bb3_in___14 [Arg_1 ]
n_eval_abc_bb2_in___12 [Arg_1 ]
n_eval_abc_bb4_in___10 [Arg_1 ]
n_eval_abc_9___9 [Arg_0+1 ]

MPRF for transition 118:n_eval_abc_9___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_10___8(Arg_0,Arg_0+1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && 1+Arg_0<=Arg_4 && 1<=Arg_3 && 0<=Arg_0 && Arg_0+1<=Arg_1 && Arg_1<=1+Arg_0 && Arg_2<=0 && 0<=Arg_2 && Arg_2<=Arg_3 && 0<=Arg_0 && Arg_2<=0 && 1+Arg_0<=Arg_4 && Arg_0+1<=Arg_1 && Arg_1<=1+Arg_0 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

n_eval_abc_10___8 [Arg_0 ]
n_eval_abc_bb1_in___7 [Arg_1 ]
n_eval_abc_bb2_in___6 [Arg_1 ]
n_eval_abc_bb3_in___11 [Arg_1 ]
n_eval_abc_bb3_in___14 [Arg_1 ]
n_eval_abc_bb2_in___12 [Arg_1 ]
n_eval_abc_bb4_in___10 [Arg_1 ]
n_eval_abc_9___9 [Arg_0+1 ]

MPRF for transition 121:n_eval_abc_bb1_in___7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_bb2_in___6(Arg_0,Arg_1,Arg_3,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_1<=Arg_4 && 1<=Arg_3 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 0<=Arg_1 && Arg_2<=Arg_3 && 1+Arg_1<=Arg_4 && Arg_2<=0 && 1<=Arg_1 && Arg_1<=Arg_4 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

n_eval_abc_10___8 [Arg_0 ]
n_eval_abc_bb1_in___7 [Arg_0 ]
n_eval_abc_bb2_in___6 [Arg_1-1 ]
n_eval_abc_bb3_in___11 [Arg_1-1 ]
n_eval_abc_bb3_in___14 [Arg_1-1 ]
n_eval_abc_bb2_in___12 [Arg_1-1 ]
n_eval_abc_bb4_in___10 [Arg_1-1 ]
n_eval_abc_9___9 [Arg_1-1 ]

MPRF for transition 123:n_eval_abc_bb2_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_bb4_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && 1<=Arg_1 && 1<=Arg_1 && 0<=Arg_2 && 1+Arg_2<=Arg_3 && Arg_1<=Arg_4 && 1<=Arg_1 && Arg_2<=Arg_3 && Arg_2<1 && Arg_1<=Arg_4 of depth 1:

new bound:

2*Arg_3+Arg_4 {O(n)}

MPRF:

n_eval_abc_10___8 [Arg_0 ]
n_eval_abc_bb1_in___7 [Arg_0 ]
n_eval_abc_bb2_in___6 [Arg_1 ]
n_eval_abc_bb3_in___11 [Arg_1 ]
n_eval_abc_bb3_in___14 [Arg_1+Arg_3-Arg_2 ]
n_eval_abc_bb2_in___12 [Arg_1 ]
n_eval_abc_bb4_in___10 [Arg_1-1 ]
n_eval_abc_9___9 [Arg_1-1 ]

MPRF for transition 127:n_eval_abc_bb2_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_bb3_in___14(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:2<=Arg_4 && 3<=Arg_3+Arg_4 && 3<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=Arg_2 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 2<=Arg_0+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && 1<=Arg_2 && 1<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2 && 1<=Arg_1 && Arg_1<=Arg_4 && 1<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_3 && Arg_1<=Arg_4 && 1<=Arg_2 && 1<=Arg_1 && Arg_2<=Arg_3 && Arg_1<=Arg_4 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

n_eval_abc_10___8 [Arg_1-1 ]
n_eval_abc_bb1_in___7 [Arg_0 ]
n_eval_abc_bb2_in___6 [Arg_0 ]
n_eval_abc_bb3_in___11 [Arg_1-1 ]
n_eval_abc_bb3_in___14 [Arg_1-1 ]
n_eval_abc_bb2_in___12 [Arg_1-1 ]
n_eval_abc_bb4_in___10 [Arg_1-1 ]
n_eval_abc_9___9 [Arg_1-1 ]

MPRF for transition 129:n_eval_abc_bb3_in___14(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_bb2_in___12(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && Arg_3<=Arg_2 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_1<=Arg_4 && 1<=Arg_2 && 1<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2 && 1<=Arg_2 && 1<=Arg_1 && Arg_2<=Arg_3 && Arg_1<=Arg_4 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

n_eval_abc_10___8 [Arg_0 ]
n_eval_abc_bb1_in___7 [Arg_0 ]
n_eval_abc_bb2_in___6 [Arg_1 ]
n_eval_abc_bb3_in___11 [Arg_1-1 ]
n_eval_abc_bb3_in___14 [Arg_1 ]
n_eval_abc_bb2_in___12 [Arg_1-1 ]
n_eval_abc_bb4_in___10 [Arg_1-1 ]
n_eval_abc_9___9 [Arg_1-1 ]

MPRF for transition 131:n_eval_abc_bb4_in___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_9___9(Arg_1-1,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_1<=Arg_4 && 1+Arg_2<=Arg_3 && 1<=Arg_1 && Arg_2<1 && 0<=Arg_2 && Arg_2<=Arg_3 && 1<=Arg_1 && Arg_2<=0 && Arg_1<=Arg_4 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

n_eval_abc_10___8 [Arg_0 ]
n_eval_abc_bb1_in___7 [Arg_0 ]
n_eval_abc_bb2_in___6 [Arg_0 ]
n_eval_abc_bb3_in___11 [Arg_1 ]
n_eval_abc_bb3_in___14 [Arg_1 ]
n_eval_abc_bb2_in___12 [Arg_1 ]
n_eval_abc_bb4_in___10 [Arg_1 ]
n_eval_abc_9___9 [Arg_1-1 ]

MPRF for transition 122:n_eval_abc_bb2_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_bb3_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 2<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_3 && 1<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 2<=Arg_1+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && 1<=Arg_1 && 1<=Arg_1 && 0<=Arg_2 && 1+Arg_2<=Arg_3 && Arg_1<=Arg_4 && 1<=Arg_2 && 1<=Arg_1 && Arg_2<=Arg_3 && Arg_1<=Arg_4 of depth 1:

new bound:

Arg_3*Arg_4+Arg_3 {O(n^2)}

MPRF:

n_eval_abc_9___9 [Arg_3 ]
n_eval_abc_10___8 [Arg_3 ]
n_eval_abc_bb1_in___7 [Arg_3 ]
n_eval_abc_bb4_in___10 [0 ]
n_eval_abc_bb2_in___6 [Arg_3 ]
n_eval_abc_bb3_in___11 [Arg_2 ]
n_eval_abc_bb3_in___14 [Arg_3 ]
n_eval_abc_bb2_in___12 [Arg_2+1 ]

MPRF for transition 128:n_eval_abc_bb3_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_bb2_in___12(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4):|:1<=Arg_4 && 3<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 2<=Arg_3 && 3<=Arg_2+Arg_3 && 1+Arg_2<=Arg_3 && 3<=Arg_1+Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_1 && Arg_1<=Arg_4 && 1+Arg_2<=Arg_3 && 1<=Arg_2 && 1<=Arg_1 && 1<=Arg_2 && 1<=Arg_1 && Arg_2<=Arg_3 && Arg_1<=Arg_4 of depth 1:

new bound:

Arg_3*Arg_4+Arg_3 {O(n^2)}

MPRF:

n_eval_abc_9___9 [Arg_3 ]
n_eval_abc_10___8 [Arg_3 ]
n_eval_abc_bb1_in___7 [Arg_3 ]
n_eval_abc_bb4_in___10 [0 ]
n_eval_abc_bb2_in___6 [Arg_2 ]
n_eval_abc_bb3_in___11 [Arg_2 ]
n_eval_abc_bb3_in___14 [Arg_3 ]
n_eval_abc_bb2_in___12 [Arg_2 ]

MPRF for transition 115:n_eval_abc_10___4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_bb1_in___3(Arg_0,Arg_0,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1+Arg_3<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=0 && Arg_3<=Arg_2 && Arg_2+Arg_3<=0 && 1+Arg_3<=Arg_1 && Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && Arg_2<=0 && 1+Arg_0<=Arg_4 && 0<=Arg_0 && Arg_0+1<=Arg_1 && Arg_1<=1+Arg_0 && Arg_2<=Arg_3 && Arg_3<=Arg_2 && Arg_2<=Arg_3 && 0<=Arg_0 && Arg_2<=0 && 1+Arg_0<=Arg_4 && Arg_0+1<=Arg_1 && Arg_1<=1+Arg_0 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

n_eval_abc_10___4 [Arg_1 ]
n_eval_abc_bb1_in___3 [Arg_0 ]
n_eval_abc_bb2_in___2 [Arg_0 ]
n_eval_abc_bb4_in___1 [Arg_1 ]
n_eval_abc_9___5 [Arg_0+1 ]

MPRF for transition 117:n_eval_abc_9___5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_10___4(Arg_0,Arg_0+1,Arg_2,Arg_3,Arg_4):|:1<=Arg_4 && 1+Arg_3<=Arg_4 && 1+Arg_2<=Arg_4 && 2<=Arg_1+Arg_4 && Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=0 && Arg_3<=Arg_2 && Arg_2+Arg_3<=0 && 1+Arg_3<=Arg_1 && Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=1+Arg_0 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 1+Arg_0<=Arg_1 && 0<=Arg_0 && Arg_2<=0 && 1+Arg_0<=Arg_4 && 0<=Arg_0 && Arg_0+1<=Arg_1 && Arg_1<=1+Arg_0 && Arg_2<=Arg_3 && Arg_3<=Arg_2 && Arg_2<=Arg_3 && 0<=Arg_0 && Arg_2<=0 && 1+Arg_0<=Arg_4 && Arg_0+1<=Arg_1 && Arg_1<=1+Arg_0 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

n_eval_abc_10___4 [Arg_0 ]
n_eval_abc_bb1_in___3 [Arg_0 ]
n_eval_abc_bb2_in___2 [Arg_1 ]
n_eval_abc_bb4_in___1 [Arg_0 ]
n_eval_abc_9___5 [Arg_0+1 ]

MPRF for transition 120:n_eval_abc_bb1_in___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_bb2_in___2(Arg_0,Arg_1,Arg_3,Arg_3,Arg_4):|:1<=Arg_4 && 1+Arg_3<=Arg_4 && 1+Arg_2<=Arg_4 && 1<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 1<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=0 && Arg_3<=Arg_2 && Arg_2+Arg_3<=0 && Arg_3<=Arg_1 && Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_2<=Arg_0 && Arg_1<=Arg_0 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 0<=Arg_0 && Arg_1<=Arg_4 && Arg_3<=0 && Arg_3<1 && Arg_0<=Arg_1 && Arg_1<=Arg_0 && 0<=Arg_1 && Arg_2<=Arg_3 && 1+Arg_1<=Arg_4 && Arg_2<=0 && 1<=Arg_1 && Arg_1<=Arg_4 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

n_eval_abc_10___4 [Arg_0+1 ]
n_eval_abc_bb1_in___3 [Arg_1+1 ]
n_eval_abc_bb2_in___2 [Arg_0 ]
n_eval_abc_bb4_in___1 [Arg_0 ]
n_eval_abc_9___5 [Arg_0+1 ]

MPRF for transition 126:n_eval_abc_bb2_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4):|:2<=Arg_4 && 2+Arg_3<=Arg_4 && 2+Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=0 && Arg_3<=Arg_2 && Arg_2+Arg_3<=0 && 1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_1<=Arg_4 && Arg_2<=Arg_3 && 1<=Arg_1 && Arg_2<=0 && Arg_2<1 && Arg_2<=Arg_3 && Arg_3<=Arg_2 && 1<=Arg_1 && Arg_1<=Arg_4 && 1<=Arg_1 && Arg_2<=Arg_3 && Arg_1<=Arg_4 && Arg_2<=0 && 1<=Arg_1 && Arg_2<=Arg_3 && Arg_2<1 && Arg_1<=Arg_4 of depth 1:

new bound:

Arg_4 {O(n)}

MPRF:

n_eval_abc_10___4 [Arg_0 ]
n_eval_abc_bb1_in___3 [Arg_1 ]
n_eval_abc_bb2_in___2 [Arg_1 ]
n_eval_abc_bb4_in___1 [Arg_1-1 ]
n_eval_abc_9___5 [Arg_0 ]

MPRF for transition 130:n_eval_abc_bb4_in___1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> n_eval_abc_9___5(Arg_1-1,Arg_1,Arg_2,Arg_3,Arg_4):|:2<=Arg_4 && 2+Arg_3<=Arg_4 && 2+Arg_2<=Arg_4 && 3<=Arg_1+Arg_4 && 1+Arg_1<=Arg_4 && 3<=Arg_0+Arg_4 && 1+Arg_0<=Arg_4 && Arg_3<=0 && Arg_3<=Arg_2 && Arg_2+Arg_3<=0 && 1+Arg_3<=Arg_1 && 1+Arg_3<=Arg_0 && Arg_2<=Arg_3 && Arg_2<=0 && 1+Arg_2<=Arg_1 && 1+Arg_2<=Arg_0 && Arg_1<=Arg_0 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && Arg_0<=Arg_1 && 1<=Arg_0 && Arg_2<=0 && Arg_1<=Arg_4 && 1<=Arg_1 && Arg_2<=Arg_3 && Arg_3<=Arg_2 && Arg_2<=Arg_3 && 1<=Arg_1 && Arg_2<=0 && Arg_1<=Arg_4 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

n_eval_abc_10___4 [Arg_0 ]
n_eval_abc_bb1_in___3 [Arg_0 ]
n_eval_abc_bb2_in___2 [Arg_0 ]
n_eval_abc_bb4_in___1 [Arg_0 ]
n_eval_abc_9___5 [Arg_1-1 ]

CFR did not improve the program. Rolling back

All Bounds

Timebounds

Overall timebound:2*Arg_3*Arg_4+2*Arg_3+5*Arg_4+10 {O(n^2)}
2: eval_abc_0->eval_abc_1: 1 {O(1)}
3: eval_abc_1->eval_abc_2: 1 {O(1)}
15: eval_abc_10->eval_abc_bb1_in: Arg_4 {O(n)}
4: eval_abc_2->eval_abc_3: 1 {O(1)}
5: eval_abc_3->eval_abc_4: 1 {O(1)}
6: eval_abc_4->eval_abc_5: 1 {O(1)}
7: eval_abc_5->eval_abc_bb1_in: 1 {O(1)}
14: eval_abc_9->eval_abc_10: Arg_4 {O(n)}
1: eval_abc_bb0_in->eval_abc_0: 1 {O(1)}
8: eval_abc_bb1_in->eval_abc_bb2_in: Arg_4 {O(n)}
9: eval_abc_bb1_in->eval_abc_bb5_in: 1 {O(1)}
10: eval_abc_bb2_in->eval_abc_bb3_in: Arg_3*Arg_4+Arg_3 {O(n^2)}
11: eval_abc_bb2_in->eval_abc_bb4_in: Arg_4 {O(n)}
12: eval_abc_bb3_in->eval_abc_bb2_in: Arg_3*Arg_4+Arg_3 {O(n^2)}
13: eval_abc_bb4_in->eval_abc_9: Arg_4 {O(n)}
16: eval_abc_bb5_in->eval_abc_stop: 1 {O(1)}
0: eval_abc_start->eval_abc_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 2*Arg_3*Arg_4+2*Arg_3+5*Arg_4+10 {O(n^2)}
2: eval_abc_0->eval_abc_1: 1 {O(1)}
3: eval_abc_1->eval_abc_2: 1 {O(1)}
15: eval_abc_10->eval_abc_bb1_in: Arg_4 {O(n)}
4: eval_abc_2->eval_abc_3: 1 {O(1)}
5: eval_abc_3->eval_abc_4: 1 {O(1)}
6: eval_abc_4->eval_abc_5: 1 {O(1)}
7: eval_abc_5->eval_abc_bb1_in: 1 {O(1)}
14: eval_abc_9->eval_abc_10: Arg_4 {O(n)}
1: eval_abc_bb0_in->eval_abc_0: 1 {O(1)}
8: eval_abc_bb1_in->eval_abc_bb2_in: Arg_4 {O(n)}
9: eval_abc_bb1_in->eval_abc_bb5_in: 1 {O(1)}
10: eval_abc_bb2_in->eval_abc_bb3_in: Arg_3*Arg_4+Arg_3 {O(n^2)}
11: eval_abc_bb2_in->eval_abc_bb4_in: Arg_4 {O(n)}
12: eval_abc_bb3_in->eval_abc_bb2_in: Arg_3*Arg_4+Arg_3 {O(n^2)}
13: eval_abc_bb4_in->eval_abc_9: Arg_4 {O(n)}
16: eval_abc_bb5_in->eval_abc_stop: 1 {O(1)}
0: eval_abc_start->eval_abc_bb0_in: 1 {O(1)}

Sizebounds

2: eval_abc_0->eval_abc_1, Arg_0: Arg_0 {O(n)}
2: eval_abc_0->eval_abc_1, Arg_1: Arg_1 {O(n)}
2: eval_abc_0->eval_abc_1, Arg_2: Arg_2 {O(n)}
2: eval_abc_0->eval_abc_1, Arg_3: Arg_3 {O(n)}
2: eval_abc_0->eval_abc_1, Arg_4: Arg_4 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_0: Arg_0 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_1: Arg_1 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_2: Arg_2 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_3: Arg_3 {O(n)}
3: eval_abc_1->eval_abc_2, Arg_4: Arg_4 {O(n)}
15: eval_abc_10->eval_abc_bb1_in, Arg_0: Arg_4 {O(n)}
15: eval_abc_10->eval_abc_bb1_in, Arg_1: Arg_4 {O(n)}
15: eval_abc_10->eval_abc_bb1_in, Arg_2: 4*Arg_3 {O(n)}
15: eval_abc_10->eval_abc_bb1_in, Arg_3: Arg_3 {O(n)}
15: eval_abc_10->eval_abc_bb1_in, Arg_4: Arg_4 {O(n)}
4: eval_abc_2->eval_abc_3, Arg_0: Arg_0 {O(n)}
4: eval_abc_2->eval_abc_3, Arg_1: Arg_1 {O(n)}
4: eval_abc_2->eval_abc_3, Arg_2: Arg_2 {O(n)}
4: eval_abc_2->eval_abc_3, Arg_3: Arg_3 {O(n)}
4: eval_abc_2->eval_abc_3, Arg_4: Arg_4 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_0: Arg_0 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_1: Arg_1 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_2: Arg_2 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_3: Arg_3 {O(n)}
5: eval_abc_3->eval_abc_4, Arg_4: Arg_4 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_0: Arg_0 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_1: Arg_1 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_2: Arg_2 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_3: Arg_3 {O(n)}
6: eval_abc_4->eval_abc_5, Arg_4: Arg_4 {O(n)}
7: eval_abc_5->eval_abc_bb1_in, Arg_0: Arg_0 {O(n)}
7: eval_abc_5->eval_abc_bb1_in, Arg_1: Arg_4 {O(n)}
7: eval_abc_5->eval_abc_bb1_in, Arg_2: Arg_2 {O(n)}
7: eval_abc_5->eval_abc_bb1_in, Arg_3: Arg_3 {O(n)}
7: eval_abc_5->eval_abc_bb1_in, Arg_4: Arg_4 {O(n)}
14: eval_abc_9->eval_abc_10, Arg_0: Arg_4 {O(n)}
14: eval_abc_9->eval_abc_10, Arg_1: Arg_4 {O(n)}
14: eval_abc_9->eval_abc_10, Arg_2: 4*Arg_3 {O(n)}
14: eval_abc_9->eval_abc_10, Arg_3: Arg_3 {O(n)}
14: eval_abc_9->eval_abc_10, Arg_4: Arg_4 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_0: Arg_0 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_1: Arg_1 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_2: Arg_2 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_3: Arg_3 {O(n)}
1: eval_abc_bb0_in->eval_abc_0, Arg_4: Arg_4 {O(n)}
8: eval_abc_bb1_in->eval_abc_bb2_in, Arg_0: Arg_0+Arg_4 {O(n)}
8: eval_abc_bb1_in->eval_abc_bb2_in, Arg_1: Arg_4 {O(n)}
8: eval_abc_bb1_in->eval_abc_bb2_in, Arg_2: 2*Arg_3 {O(n)}
8: eval_abc_bb1_in->eval_abc_bb2_in, Arg_3: Arg_3 {O(n)}
8: eval_abc_bb1_in->eval_abc_bb2_in, Arg_4: Arg_4 {O(n)}
9: eval_abc_bb1_in->eval_abc_bb5_in, Arg_0: Arg_0+Arg_4 {O(n)}
9: eval_abc_bb1_in->eval_abc_bb5_in, Arg_1: 2*Arg_4 {O(n)}
9: eval_abc_bb1_in->eval_abc_bb5_in, Arg_2: 4*Arg_3+Arg_2 {O(n)}
9: eval_abc_bb1_in->eval_abc_bb5_in, Arg_3: 2*Arg_3 {O(n)}
9: eval_abc_bb1_in->eval_abc_bb5_in, Arg_4: 2*Arg_4 {O(n)}
10: eval_abc_bb2_in->eval_abc_bb3_in, Arg_0: Arg_0+Arg_4 {O(n)}
10: eval_abc_bb2_in->eval_abc_bb3_in, Arg_1: Arg_4 {O(n)}
10: eval_abc_bb2_in->eval_abc_bb3_in, Arg_2: 2*Arg_3 {O(n)}
10: eval_abc_bb2_in->eval_abc_bb3_in, Arg_3: Arg_3 {O(n)}
10: eval_abc_bb2_in->eval_abc_bb3_in, Arg_4: Arg_4 {O(n)}
11: eval_abc_bb2_in->eval_abc_bb4_in, Arg_0: 2*Arg_0+2*Arg_4 {O(n)}
11: eval_abc_bb2_in->eval_abc_bb4_in, Arg_1: Arg_4 {O(n)}
11: eval_abc_bb2_in->eval_abc_bb4_in, Arg_2: 4*Arg_3 {O(n)}
11: eval_abc_bb2_in->eval_abc_bb4_in, Arg_3: Arg_3 {O(n)}
11: eval_abc_bb2_in->eval_abc_bb4_in, Arg_4: Arg_4 {O(n)}
12: eval_abc_bb3_in->eval_abc_bb2_in, Arg_0: Arg_0+Arg_4 {O(n)}
12: eval_abc_bb3_in->eval_abc_bb2_in, Arg_1: Arg_4 {O(n)}
12: eval_abc_bb3_in->eval_abc_bb2_in, Arg_2: 2*Arg_3 {O(n)}
12: eval_abc_bb3_in->eval_abc_bb2_in, Arg_3: Arg_3 {O(n)}
12: eval_abc_bb3_in->eval_abc_bb2_in, Arg_4: Arg_4 {O(n)}
13: eval_abc_bb4_in->eval_abc_9, Arg_0: Arg_4 {O(n)}
13: eval_abc_bb4_in->eval_abc_9, Arg_1: Arg_4 {O(n)}
13: eval_abc_bb4_in->eval_abc_9, Arg_2: 4*Arg_3 {O(n)}
13: eval_abc_bb4_in->eval_abc_9, Arg_3: Arg_3 {O(n)}
13: eval_abc_bb4_in->eval_abc_9, Arg_4: Arg_4 {O(n)}
16: eval_abc_bb5_in->eval_abc_stop, Arg_0: Arg_0+Arg_4 {O(n)}
16: eval_abc_bb5_in->eval_abc_stop, Arg_1: 2*Arg_4 {O(n)}
16: eval_abc_bb5_in->eval_abc_stop, Arg_2: 4*Arg_3+Arg_2 {O(n)}
16: eval_abc_bb5_in->eval_abc_stop, Arg_3: 2*Arg_3 {O(n)}
16: eval_abc_bb5_in->eval_abc_stop, Arg_4: 2*Arg_4 {O(n)}
0: eval_abc_start->eval_abc_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_abc_start->eval_abc_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_abc_start->eval_abc_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_abc_start->eval_abc_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_abc_start->eval_abc_bb0_in, Arg_4: Arg_4 {O(n)}