Initial Problem

Start: eval_rank1_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7
Temp_Vars: nondef.0, nondef.1
Locations: eval_rank1_.critedge_in, eval_rank1_0, eval_rank1_1, eval_rank1_2, eval_rank1_3, eval_rank1_bb0_in, eval_rank1_bb1_in, eval_rank1_bb2_in, eval_rank1_bb3_in, eval_rank1_bb4_in, eval_rank1_bb5_in, eval_rank1_bb6_in, eval_rank1_bb7_in, eval_rank1_start, eval_rank1_stop
Transitions:
18:eval_rank1_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_3-1,Arg_5,Arg_6,Arg_6)
7:eval_rank1_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_1(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
8:eval_rank1_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5,Arg_7):|:0<Arg_0
9:eval_rank1_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_3,Arg_5,Arg_6,Arg_5):|:Arg_0<=0
14:eval_rank1_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_3(Arg_0,nondef.1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
16:eval_rank1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_1<=0
15:eval_rank1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<Arg_1
1:eval_rank1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_2,Arg_4,0,Arg_6,Arg_7)
2:eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=Arg_3 && 0<=Arg_5
3:eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_3<0
4:eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_5<0
5:eval_rank1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
11:eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_2<Arg_6
10:eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_2
12:eval_rank1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
17:eval_rank1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6+1,Arg_7)
19:eval_rank1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_4,Arg_7-1,Arg_6,Arg_7)
20:eval_rank1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
0:eval_rank1_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)

Preprocessing

Found invariant Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 for location eval_rank1_3

Found invariant 0<=Arg_7 && 0<=Arg_5+Arg_7 && Arg_5<=Arg_7 && 0<=1+Arg_4+Arg_7 && 0<=Arg_3+Arg_7 && 0<=Arg_2+Arg_7 && 0<=Arg_5 && 0<=1+Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_4<=Arg_3 && Arg_4<=Arg_2 && 0<=1+Arg_4 && 0<=1+Arg_3+Arg_4 && Arg_3<=1+Arg_4 && 0<=1+Arg_2+Arg_4 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2 for location eval_rank1_bb6_in

Found invariant 0<=1+Arg_5 && Arg_3<=Arg_2 for location eval_rank1_bb7_in

Found invariant Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 for location eval_rank1_bb4_in

Found invariant 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 for location eval_rank1_.critedge_in

Found invariant 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2 for location eval_rank1_bb2_in

Found invariant 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2 for location eval_rank1_0

Found invariant 0<=1+Arg_5 && Arg_3<=Arg_2 for location eval_rank1_bb1_in

Found invariant Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 for location eval_rank1_2

Found invariant 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 for location eval_rank1_bb3_in

Found invariant 0<=1+Arg_5 && Arg_3<=Arg_2 for location eval_rank1_stop

Found invariant 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2 for location eval_rank1_1

Found invariant Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 for location eval_rank1_bb5_in

Problem after Preprocessing

Start: eval_rank1_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7
Temp_Vars: nondef.0, nondef.1
Locations: eval_rank1_.critedge_in, eval_rank1_0, eval_rank1_1, eval_rank1_2, eval_rank1_3, eval_rank1_bb0_in, eval_rank1_bb1_in, eval_rank1_bb2_in, eval_rank1_bb3_in, eval_rank1_bb4_in, eval_rank1_bb5_in, eval_rank1_bb6_in, eval_rank1_bb7_in, eval_rank1_start, eval_rank1_stop
Transitions:
18:eval_rank1_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_3-1,Arg_5,Arg_6,Arg_6):|:0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0
7:eval_rank1_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_1(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2
8:eval_rank1_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5,Arg_7):|:0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2 && 0<Arg_0
9:eval_rank1_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_3,Arg_5,Arg_6,Arg_5):|:0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2 && Arg_0<=0
14:eval_rank1_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_3(Arg_0,nondef.1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0
16:eval_rank1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 && Arg_1<=0
15:eval_rank1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 && 0<Arg_1
1:eval_rank1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_2,Arg_4,0,Arg_6,Arg_7)
2:eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=1+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_5
3:eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=1+Arg_5 && Arg_3<=Arg_2 && Arg_3<0
4:eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=1+Arg_5 && Arg_3<=Arg_2 && Arg_5<0
5:eval_rank1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2
11:eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 && Arg_2<Arg_6
10:eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 && Arg_6<=Arg_2
12:eval_rank1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0
17:eval_rank1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6+1,Arg_7):|:Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0
19:eval_rank1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_4,Arg_7-1,Arg_6,Arg_7):|:0<=Arg_7 && 0<=Arg_5+Arg_7 && Arg_5<=Arg_7 && 0<=1+Arg_4+Arg_7 && 0<=Arg_3+Arg_7 && 0<=Arg_2+Arg_7 && 0<=Arg_5 && 0<=1+Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_4<=Arg_3 && Arg_4<=Arg_2 && 0<=1+Arg_4 && 0<=1+Arg_3+Arg_4 && Arg_3<=1+Arg_4 && 0<=1+Arg_2+Arg_4 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2
20:eval_rank1_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=1+Arg_5 && Arg_3<=Arg_2
0:eval_rank1_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)

MPRF for transition 18:eval_rank1_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_3-1,Arg_5,Arg_6,Arg_6):|:0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 of depth 1:

new bound:

Arg_2+1 {O(n)}

MPRF:

eval_rank1_1 [Arg_3+1 ]
eval_rank1_3 [Arg_3+1 ]
eval_rank1_bb2_in [Arg_3+1 ]
eval_rank1_0 [Arg_3+1 ]
eval_rank1_.critedge_in [Arg_3+1 ]
eval_rank1_bb4_in [Arg_3+1 ]
eval_rank1_2 [Arg_3+1 ]
eval_rank1_bb5_in [Arg_3+1 ]
eval_rank1_bb3_in [Arg_3+1 ]
eval_rank1_bb6_in [Arg_4+1 ]
eval_rank1_bb1_in [Arg_3+1 ]

MPRF for transition 8:eval_rank1_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5,Arg_7):|:0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2 && 0<Arg_0 of depth 1:

new bound:

Arg_2+1 {O(n)}

MPRF:

eval_rank1_1 [Arg_3+1 ]
eval_rank1_3 [Arg_3 ]
eval_rank1_bb2_in [Arg_3+1 ]
eval_rank1_0 [Arg_3+1 ]
eval_rank1_.critedge_in [Arg_3 ]
eval_rank1_bb4_in [Arg_3 ]
eval_rank1_2 [Arg_3 ]
eval_rank1_bb5_in [Arg_3 ]
eval_rank1_bb3_in [Arg_3 ]
eval_rank1_bb6_in [Arg_4+1 ]
eval_rank1_bb1_in [Arg_3+1 ]

MPRF for transition 16:eval_rank1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 && Arg_1<=0 of depth 1:

new bound:

Arg_2+1 {O(n)}

MPRF:

eval_rank1_1 [Arg_3+1 ]
eval_rank1_3 [Arg_3+1 ]
eval_rank1_bb2_in [Arg_3+1 ]
eval_rank1_0 [Arg_3+1 ]
eval_rank1_.critedge_in [Arg_3 ]
eval_rank1_bb4_in [Arg_3+1 ]
eval_rank1_2 [Arg_3+1 ]
eval_rank1_bb5_in [Arg_3+1 ]
eval_rank1_bb3_in [Arg_3+1 ]
eval_rank1_bb6_in [Arg_4+1 ]
eval_rank1_bb1_in [Arg_3+1 ]

MPRF for transition 11:eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 && Arg_2<Arg_6 of depth 1:

new bound:

Arg_2+1 {O(n)}

MPRF:

eval_rank1_1 [Arg_3+1 ]
eval_rank1_3 [Arg_3+1 ]
eval_rank1_bb2_in [Arg_3+1 ]
eval_rank1_0 [Arg_3+1 ]
eval_rank1_.critedge_in [Arg_3 ]
eval_rank1_bb4_in [Arg_3+1 ]
eval_rank1_2 [Arg_3+1 ]
eval_rank1_bb5_in [Arg_3+1 ]
eval_rank1_bb3_in [Arg_3+1 ]
eval_rank1_bb6_in [Arg_4+1 ]
eval_rank1_bb1_in [Arg_3+1 ]

MPRF for transition 14:eval_rank1_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_3(Arg_0,nondef.1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 of depth 1:

new bound:

4*Arg_2*Arg_2+8*Arg_2+3 {O(n^2)}

MPRF:

eval_rank1_.critedge_in [Arg_2+Arg_3 ]
eval_rank1_1 [Arg_2+Arg_3+1 ]
eval_rank1_3 [Arg_2+Arg_3-Arg_6 ]
eval_rank1_bb2_in [Arg_2+Arg_3+1 ]
eval_rank1_0 [Arg_2+Arg_3+1 ]
eval_rank1_bb4_in [Arg_2+Arg_3+1-Arg_6 ]
eval_rank1_2 [Arg_2+Arg_3+1-Arg_6 ]
eval_rank1_bb5_in [Arg_2+Arg_3-Arg_6 ]
eval_rank1_bb3_in [Arg_2+Arg_3+1-Arg_6 ]
eval_rank1_bb6_in [Arg_2+Arg_4+1 ]
eval_rank1_bb1_in [Arg_2+Arg_3+1 ]

MPRF for transition 15:eval_rank1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 && 0<Arg_1 of depth 1:

new bound:

2*Arg_2*Arg_2+5*Arg_2+3 {O(n^2)}

MPRF:

eval_rank1_.critedge_in [Arg_2+1 ]
eval_rank1_1 [Arg_2+1 ]
eval_rank1_3 [Arg_2+1-Arg_6 ]
eval_rank1_bb2_in [Arg_2+1 ]
eval_rank1_0 [Arg_2+1 ]
eval_rank1_bb4_in [Arg_2+1-Arg_6 ]
eval_rank1_2 [Arg_2+1-Arg_6 ]
eval_rank1_bb5_in [Arg_2-Arg_6 ]
eval_rank1_bb3_in [Arg_2+1-Arg_6 ]
eval_rank1_bb6_in [Arg_2+1 ]
eval_rank1_bb1_in [Arg_2+1 ]

MPRF for transition 10:eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 && Arg_6<=Arg_2 of depth 1:

new bound:

4*Arg_2*Arg_2+8*Arg_2+3 {O(n^2)}

MPRF:

eval_rank1_.critedge_in [Arg_2+Arg_3 ]
eval_rank1_1 [Arg_2+Arg_3+1 ]
eval_rank1_3 [Arg_2+Arg_3-Arg_6 ]
eval_rank1_bb2_in [Arg_2+Arg_3+1 ]
eval_rank1_0 [Arg_2+Arg_3+1 ]
eval_rank1_bb4_in [Arg_2+Arg_3-Arg_6 ]
eval_rank1_2 [Arg_2+Arg_3-Arg_6 ]
eval_rank1_bb5_in [Arg_2+Arg_3-Arg_6 ]
eval_rank1_bb3_in [Arg_2+Arg_3+1-Arg_6 ]
eval_rank1_bb6_in [Arg_2+Arg_4+1 ]
eval_rank1_bb1_in [Arg_2+Arg_3+1 ]

MPRF for transition 12:eval_rank1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_0 of depth 1:

new bound:

4*Arg_2*Arg_2+8*Arg_2+3 {O(n^2)}

MPRF:

eval_rank1_.critedge_in [Arg_2+Arg_3 ]
eval_rank1_1 [Arg_2+Arg_3+1 ]
eval_rank1_3 [Arg_2+Arg_3-Arg_6 ]
eval_rank1_bb2_in [Arg_2+Arg_3+1 ]
eval_rank1_0 [Arg_2+Arg_3+1 ]
eval_rank1_bb4_in [Arg_2+Arg_3+1-Arg_6 ]
eval_rank1_2 [Arg_2+Arg_3-Arg_6 ]
eval_rank1_bb5_in [Arg_2+Arg_3-Arg_6 ]
eval_rank1_bb3_in [Arg_2+Arg_3+1-Arg_6 ]
eval_rank1_bb6_in [Arg_2+Arg_4+1 ]
eval_rank1_bb1_in [Arg_2+Arg_3+1 ]

MPRF for transition 17:eval_rank1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6+1,Arg_7):|:Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 0<=Arg_3+Arg_6 && 0<=Arg_2+Arg_6 && 1<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_2 && 0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && 1<=Arg_0+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 2<=Arg_0+Arg_1 && 1<=Arg_0 of depth 1:

new bound:

2*Arg_2*Arg_2+5*Arg_2+3 {O(n^2)}

MPRF:

eval_rank1_.critedge_in [Arg_2+1 ]
eval_rank1_1 [Arg_2+1 ]
eval_rank1_3 [Arg_2+1-Arg_6 ]
eval_rank1_bb2_in [Arg_2+1 ]
eval_rank1_0 [Arg_2+1 ]
eval_rank1_bb4_in [Arg_2+1-Arg_6 ]
eval_rank1_2 [Arg_2+1-Arg_6 ]
eval_rank1_bb5_in [Arg_2+1-Arg_6 ]
eval_rank1_bb3_in [Arg_2+1-Arg_6 ]
eval_rank1_bb6_in [Arg_2+1 ]
eval_rank1_bb1_in [Arg_2+1 ]

MPRF for transition 7:eval_rank1_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_1(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2 of depth 1:

new bound:

4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+44*Arg_2*Arg_2+39*Arg_2+13 {O(n^4)}

MPRF:

eval_rank1_1 [Arg_2+Arg_5 ]
eval_rank1_bb5_in [Arg_2+Arg_6 ]
eval_rank1_3 [Arg_2+Arg_6 ]
eval_rank1_bb2_in [Arg_2+Arg_5+1 ]
eval_rank1_0 [Arg_2+Arg_5+1 ]
eval_rank1_bb3_in [Arg_2+Arg_6 ]
eval_rank1_.critedge_in [Arg_2+Arg_6 ]
eval_rank1_bb4_in [Arg_2+Arg_6 ]
eval_rank1_2 [Arg_2+Arg_6 ]
eval_rank1_bb6_in [Arg_2+Arg_7 ]
eval_rank1_bb1_in [Arg_2+Arg_5+1 ]

MPRF for transition 9:eval_rank1_1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_3,Arg_5,Arg_6,Arg_5):|:0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2 && Arg_0<=0 of depth 1:

new bound:

4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+44*Arg_2*Arg_2+39*Arg_2+13 {O(n^4)}

MPRF:

eval_rank1_1 [Arg_2+Arg_5+1 ]
eval_rank1_bb5_in [Arg_2+Arg_6 ]
eval_rank1_3 [Arg_2+Arg_6 ]
eval_rank1_bb2_in [Arg_2+Arg_5+1 ]
eval_rank1_0 [Arg_2+Arg_5+1 ]
eval_rank1_bb3_in [Arg_2+Arg_6 ]
eval_rank1_.critedge_in [Arg_2+Arg_6 ]
eval_rank1_bb4_in [Arg_2+Arg_6 ]
eval_rank1_2 [Arg_2+Arg_6 ]
eval_rank1_bb6_in [Arg_2+Arg_7 ]
eval_rank1_bb1_in [Arg_2+Arg_5+1 ]

MPRF for transition 2:eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=1+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_5 of depth 1:

new bound:

4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+46*Arg_2*Arg_2+44*Arg_2+17 {O(n^4)}

MPRF:

eval_rank1_1 [Arg_2+Arg_5+1 ]
eval_rank1_bb5_in [Arg_2+Arg_6+1 ]
eval_rank1_3 [Arg_2+Arg_6+1 ]
eval_rank1_bb2_in [Arg_2+Arg_5+1 ]
eval_rank1_0 [Arg_2+Arg_5+1 ]
eval_rank1_bb3_in [Arg_2+Arg_6+1 ]
eval_rank1_.critedge_in [Arg_2+Arg_6+1 ]
eval_rank1_bb4_in [Arg_2+Arg_6+1 ]
eval_rank1_2 [Arg_2+Arg_6+1 ]
eval_rank1_bb6_in [Arg_2+Arg_7+1 ]
eval_rank1_bb1_in [Arg_2+Arg_5+2 ]

MPRF for transition 5:eval_rank1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<=Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2 of depth 1:

new bound:

4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+44*Arg_2*Arg_2+39*Arg_2+13 {O(n^4)}

MPRF:

eval_rank1_1 [Arg_2+Arg_5 ]
eval_rank1_bb5_in [Arg_2+Arg_6 ]
eval_rank1_3 [Arg_2+Arg_6 ]
eval_rank1_bb2_in [Arg_2+Arg_5+1 ]
eval_rank1_0 [Arg_2+Arg_5 ]
eval_rank1_bb3_in [Arg_2+Arg_6 ]
eval_rank1_.critedge_in [Arg_2+Arg_6 ]
eval_rank1_bb4_in [Arg_2+Arg_6 ]
eval_rank1_2 [Arg_2+Arg_6 ]
eval_rank1_bb6_in [Arg_2+Arg_7 ]
eval_rank1_bb1_in [Arg_2+Arg_5+1 ]

MPRF for transition 19:eval_rank1_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_rank1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_4,Arg_4,Arg_7-1,Arg_6,Arg_7):|:0<=Arg_7 && 0<=Arg_5+Arg_7 && Arg_5<=Arg_7 && 0<=1+Arg_4+Arg_7 && 0<=Arg_3+Arg_7 && 0<=Arg_2+Arg_7 && 0<=Arg_5 && 0<=1+Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 0<=Arg_2+Arg_5 && Arg_4<=Arg_3 && Arg_4<=Arg_2 && 0<=1+Arg_4 && 0<=1+Arg_3+Arg_4 && Arg_3<=1+Arg_4 && 0<=1+Arg_2+Arg_4 && Arg_3<=Arg_2 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_2 of depth 1:

new bound:

4*Arg_2*Arg_2*Arg_2*Arg_2+24*Arg_2*Arg_2*Arg_2+55*Arg_2*Arg_2+58*Arg_2+23 {O(n^4)}

MPRF:

eval_rank1_1 [Arg_2+Arg_3+Arg_5+2 ]
eval_rank1_bb5_in [Arg_2+Arg_3+Arg_6+2 ]
eval_rank1_3 [Arg_2+Arg_3+Arg_6+2 ]
eval_rank1_bb2_in [Arg_2+Arg_3+Arg_5+2 ]
eval_rank1_0 [Arg_2+Arg_3+Arg_5+2 ]
eval_rank1_bb3_in [Arg_2+Arg_3+Arg_6+2 ]
eval_rank1_.critedge_in [Arg_2+Arg_3+Arg_6+1 ]
eval_rank1_bb4_in [Arg_2+Arg_3+Arg_6+2 ]
eval_rank1_2 [Arg_2+Arg_3+Arg_6+2 ]
eval_rank1_bb6_in [Arg_2+Arg_4+Arg_7+2 ]
eval_rank1_bb1_in [Arg_2+Arg_3+Arg_5+2 ]

All Bounds

Timebounds

Overall timebound:20*Arg_2*Arg_2*Arg_2*Arg_2+112*Arg_2*Arg_2*Arg_2+249*Arg_2*Arg_2+257*Arg_2+103 {O(n^4)}
18: eval_rank1_.critedge_in->eval_rank1_bb6_in: Arg_2+1 {O(n)}
7: eval_rank1_0->eval_rank1_1: 4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+44*Arg_2*Arg_2+39*Arg_2+13 {O(n^4)}
8: eval_rank1_1->eval_rank1_bb3_in: Arg_2+1 {O(n)}
9: eval_rank1_1->eval_rank1_bb6_in: 4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+44*Arg_2*Arg_2+39*Arg_2+13 {O(n^4)}
14: eval_rank1_2->eval_rank1_3: 4*Arg_2*Arg_2+8*Arg_2+3 {O(n^2)}
15: eval_rank1_3->eval_rank1_bb5_in: 2*Arg_2*Arg_2+5*Arg_2+3 {O(n^2)}
16: eval_rank1_3->eval_rank1_.critedge_in: Arg_2+1 {O(n)}
1: eval_rank1_bb0_in->eval_rank1_bb1_in: 1 {O(1)}
2: eval_rank1_bb1_in->eval_rank1_bb2_in: 4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+46*Arg_2*Arg_2+44*Arg_2+17 {O(n^4)}
3: eval_rank1_bb1_in->eval_rank1_bb7_in: 1 {O(1)}
4: eval_rank1_bb1_in->eval_rank1_bb7_in: 1 {O(1)}
5: eval_rank1_bb2_in->eval_rank1_0: 4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+44*Arg_2*Arg_2+39*Arg_2+13 {O(n^4)}
10: eval_rank1_bb3_in->eval_rank1_bb4_in: 4*Arg_2*Arg_2+8*Arg_2+3 {O(n^2)}
11: eval_rank1_bb3_in->eval_rank1_.critedge_in: Arg_2+1 {O(n)}
12: eval_rank1_bb4_in->eval_rank1_2: 4*Arg_2*Arg_2+8*Arg_2+3 {O(n^2)}
17: eval_rank1_bb5_in->eval_rank1_bb3_in: 2*Arg_2*Arg_2+5*Arg_2+3 {O(n^2)}
19: eval_rank1_bb6_in->eval_rank1_bb1_in: 4*Arg_2*Arg_2*Arg_2*Arg_2+24*Arg_2*Arg_2*Arg_2+55*Arg_2*Arg_2+58*Arg_2+23 {O(n^4)}
20: eval_rank1_bb7_in->eval_rank1_stop: 1 {O(1)}
0: eval_rank1_start->eval_rank1_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 20*Arg_2*Arg_2*Arg_2*Arg_2+112*Arg_2*Arg_2*Arg_2+249*Arg_2*Arg_2+257*Arg_2+103 {O(n^4)}
18: eval_rank1_.critedge_in->eval_rank1_bb6_in: Arg_2+1 {O(n)}
7: eval_rank1_0->eval_rank1_1: 4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+44*Arg_2*Arg_2+39*Arg_2+13 {O(n^4)}
8: eval_rank1_1->eval_rank1_bb3_in: Arg_2+1 {O(n)}
9: eval_rank1_1->eval_rank1_bb6_in: 4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+44*Arg_2*Arg_2+39*Arg_2+13 {O(n^4)}
14: eval_rank1_2->eval_rank1_3: 4*Arg_2*Arg_2+8*Arg_2+3 {O(n^2)}
15: eval_rank1_3->eval_rank1_bb5_in: 2*Arg_2*Arg_2+5*Arg_2+3 {O(n^2)}
16: eval_rank1_3->eval_rank1_.critedge_in: Arg_2+1 {O(n)}
1: eval_rank1_bb0_in->eval_rank1_bb1_in: 1 {O(1)}
2: eval_rank1_bb1_in->eval_rank1_bb2_in: 4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+46*Arg_2*Arg_2+44*Arg_2+17 {O(n^4)}
3: eval_rank1_bb1_in->eval_rank1_bb7_in: 1 {O(1)}
4: eval_rank1_bb1_in->eval_rank1_bb7_in: 1 {O(1)}
5: eval_rank1_bb2_in->eval_rank1_0: 4*Arg_2*Arg_2*Arg_2*Arg_2+22*Arg_2*Arg_2*Arg_2+44*Arg_2*Arg_2+39*Arg_2+13 {O(n^4)}
10: eval_rank1_bb3_in->eval_rank1_bb4_in: 4*Arg_2*Arg_2+8*Arg_2+3 {O(n^2)}
11: eval_rank1_bb3_in->eval_rank1_.critedge_in: Arg_2+1 {O(n)}
12: eval_rank1_bb4_in->eval_rank1_2: 4*Arg_2*Arg_2+8*Arg_2+3 {O(n^2)}
17: eval_rank1_bb5_in->eval_rank1_bb3_in: 2*Arg_2*Arg_2+5*Arg_2+3 {O(n^2)}
19: eval_rank1_bb6_in->eval_rank1_bb1_in: 4*Arg_2*Arg_2*Arg_2*Arg_2+24*Arg_2*Arg_2*Arg_2+55*Arg_2*Arg_2+58*Arg_2+23 {O(n^4)}
20: eval_rank1_bb7_in->eval_rank1_stop: 1 {O(1)}
0: eval_rank1_start->eval_rank1_bb0_in: 1 {O(1)}

Sizebounds

18: eval_rank1_.critedge_in->eval_rank1_bb6_in, Arg_2: Arg_2 {O(n)}
18: eval_rank1_.critedge_in->eval_rank1_bb6_in, Arg_3: Arg_2+1 {O(n)}
18: eval_rank1_.critedge_in->eval_rank1_bb6_in, Arg_4: 2*Arg_2+4 {O(n)}
18: eval_rank1_.critedge_in->eval_rank1_bb6_in, Arg_5: 6*Arg_2*Arg_2+15*Arg_2+12 {O(n^2)}
18: eval_rank1_.critedge_in->eval_rank1_bb6_in, Arg_6: 4*Arg_2*Arg_2+10*Arg_2+8 {O(n^2)}
18: eval_rank1_.critedge_in->eval_rank1_bb6_in, Arg_7: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
7: eval_rank1_0->eval_rank1_1, Arg_2: Arg_2 {O(n)}
7: eval_rank1_0->eval_rank1_1, Arg_3: Arg_2+1 {O(n)}
7: eval_rank1_0->eval_rank1_1, Arg_4: 3*Arg_2+Arg_4+5 {O(n)}
7: eval_rank1_0->eval_rank1_1, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
7: eval_rank1_0->eval_rank1_1, Arg_6: 4*Arg_2*Arg_2+10*Arg_2+Arg_6+8 {O(n^2)}
7: eval_rank1_0->eval_rank1_1, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+Arg_7+8 {O(n^2)}
8: eval_rank1_1->eval_rank1_bb3_in, Arg_2: Arg_2 {O(n)}
8: eval_rank1_1->eval_rank1_bb3_in, Arg_3: Arg_2+1 {O(n)}
8: eval_rank1_1->eval_rank1_bb3_in, Arg_4: 3*Arg_2+Arg_4+5 {O(n)}
8: eval_rank1_1->eval_rank1_bb3_in, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
8: eval_rank1_1->eval_rank1_bb3_in, Arg_6: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
8: eval_rank1_1->eval_rank1_bb3_in, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+Arg_7+8 {O(n^2)}
9: eval_rank1_1->eval_rank1_bb6_in, Arg_2: Arg_2 {O(n)}
9: eval_rank1_1->eval_rank1_bb6_in, Arg_3: Arg_2+1 {O(n)}
9: eval_rank1_1->eval_rank1_bb6_in, Arg_4: Arg_2+1 {O(n)}
9: eval_rank1_1->eval_rank1_bb6_in, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
9: eval_rank1_1->eval_rank1_bb6_in, Arg_6: 4*Arg_2*Arg_2+10*Arg_2+Arg_6+8 {O(n^2)}
9: eval_rank1_1->eval_rank1_bb6_in, Arg_7: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
14: eval_rank1_2->eval_rank1_3, Arg_2: Arg_2 {O(n)}
14: eval_rank1_2->eval_rank1_3, Arg_3: Arg_2+1 {O(n)}
14: eval_rank1_2->eval_rank1_3, Arg_4: 3*Arg_2+Arg_4+5 {O(n)}
14: eval_rank1_2->eval_rank1_3, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
14: eval_rank1_2->eval_rank1_3, Arg_6: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
14: eval_rank1_2->eval_rank1_3, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+Arg_7+8 {O(n^2)}
15: eval_rank1_3->eval_rank1_bb5_in, Arg_2: Arg_2 {O(n)}
15: eval_rank1_3->eval_rank1_bb5_in, Arg_3: Arg_2+1 {O(n)}
15: eval_rank1_3->eval_rank1_bb5_in, Arg_4: 3*Arg_2+Arg_4+5 {O(n)}
15: eval_rank1_3->eval_rank1_bb5_in, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
15: eval_rank1_3->eval_rank1_bb5_in, Arg_6: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
15: eval_rank1_3->eval_rank1_bb5_in, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+Arg_7+8 {O(n^2)}
16: eval_rank1_3->eval_rank1_.critedge_in, Arg_2: Arg_2 {O(n)}
16: eval_rank1_3->eval_rank1_.critedge_in, Arg_3: Arg_2+1 {O(n)}
16: eval_rank1_3->eval_rank1_.critedge_in, Arg_4: 3*Arg_2+Arg_4+5 {O(n)}
16: eval_rank1_3->eval_rank1_.critedge_in, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
16: eval_rank1_3->eval_rank1_.critedge_in, Arg_6: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
16: eval_rank1_3->eval_rank1_.critedge_in, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+Arg_7+8 {O(n^2)}
1: eval_rank1_bb0_in->eval_rank1_bb1_in, Arg_0: Arg_0 {O(n)}
1: eval_rank1_bb0_in->eval_rank1_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_rank1_bb0_in->eval_rank1_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_rank1_bb0_in->eval_rank1_bb1_in, Arg_3: Arg_2 {O(n)}
1: eval_rank1_bb0_in->eval_rank1_bb1_in, Arg_4: Arg_4 {O(n)}
1: eval_rank1_bb0_in->eval_rank1_bb1_in, Arg_5: 0 {O(1)}
1: eval_rank1_bb0_in->eval_rank1_bb1_in, Arg_6: Arg_6 {O(n)}
1: eval_rank1_bb0_in->eval_rank1_bb1_in, Arg_7: Arg_7 {O(n)}
2: eval_rank1_bb1_in->eval_rank1_bb2_in, Arg_2: Arg_2 {O(n)}
2: eval_rank1_bb1_in->eval_rank1_bb2_in, Arg_3: Arg_2+1 {O(n)}
2: eval_rank1_bb1_in->eval_rank1_bb2_in, Arg_4: 3*Arg_2+Arg_4+5 {O(n)}
2: eval_rank1_bb1_in->eval_rank1_bb2_in, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
2: eval_rank1_bb1_in->eval_rank1_bb2_in, Arg_6: 4*Arg_2*Arg_2+10*Arg_2+Arg_6+8 {O(n^2)}
2: eval_rank1_bb1_in->eval_rank1_bb2_in, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+Arg_7+8 {O(n^2)}
3: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_2: 2*Arg_2 {O(n)}
3: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_3: 2*Arg_2+1 {O(n)}
3: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_4: 3*Arg_2+Arg_4+5 {O(n)}
3: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
3: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_6: 4*Arg_2*Arg_2+10*Arg_2+2*Arg_6+8 {O(n^2)}
3: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+Arg_7+8 {O(n^2)}
4: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_2: Arg_2 {O(n)}
4: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_3: Arg_2+1 {O(n)}
4: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_4: 3*Arg_2+5 {O(n)}
4: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_5: 1 {O(1)}
4: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_6: 4*Arg_2*Arg_2+10*Arg_2+Arg_6+8 {O(n^2)}
4: eval_rank1_bb1_in->eval_rank1_bb7_in, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+8 {O(n^2)}
5: eval_rank1_bb2_in->eval_rank1_0, Arg_2: Arg_2 {O(n)}
5: eval_rank1_bb2_in->eval_rank1_0, Arg_3: Arg_2+1 {O(n)}
5: eval_rank1_bb2_in->eval_rank1_0, Arg_4: 3*Arg_2+Arg_4+5 {O(n)}
5: eval_rank1_bb2_in->eval_rank1_0, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
5: eval_rank1_bb2_in->eval_rank1_0, Arg_6: 4*Arg_2*Arg_2+10*Arg_2+Arg_6+8 {O(n^2)}
5: eval_rank1_bb2_in->eval_rank1_0, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+Arg_7+8 {O(n^2)}
10: eval_rank1_bb3_in->eval_rank1_bb4_in, Arg_2: Arg_2 {O(n)}
10: eval_rank1_bb3_in->eval_rank1_bb4_in, Arg_3: Arg_2+1 {O(n)}
10: eval_rank1_bb3_in->eval_rank1_bb4_in, Arg_4: 3*Arg_2+Arg_4+5 {O(n)}
10: eval_rank1_bb3_in->eval_rank1_bb4_in, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
10: eval_rank1_bb3_in->eval_rank1_bb4_in, Arg_6: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
10: eval_rank1_bb3_in->eval_rank1_bb4_in, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+Arg_7+8 {O(n^2)}
11: eval_rank1_bb3_in->eval_rank1_.critedge_in, Arg_2: Arg_2 {O(n)}
11: eval_rank1_bb3_in->eval_rank1_.critedge_in, Arg_3: Arg_2+1 {O(n)}
11: eval_rank1_bb3_in->eval_rank1_.critedge_in, Arg_4: 2*Arg_4+6*Arg_2+10 {O(n)}
11: eval_rank1_bb3_in->eval_rank1_.critedge_in, Arg_5: 4*Arg_2*Arg_2+10*Arg_2+8 {O(n^2)}
11: eval_rank1_bb3_in->eval_rank1_.critedge_in, Arg_6: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
11: eval_rank1_bb3_in->eval_rank1_.critedge_in, Arg_7: 8*Arg_2*Arg_2+2*Arg_7+20*Arg_2+16 {O(n^2)}
12: eval_rank1_bb4_in->eval_rank1_2, Arg_2: Arg_2 {O(n)}
12: eval_rank1_bb4_in->eval_rank1_2, Arg_3: Arg_2+1 {O(n)}
12: eval_rank1_bb4_in->eval_rank1_2, Arg_4: 3*Arg_2+Arg_4+5 {O(n)}
12: eval_rank1_bb4_in->eval_rank1_2, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
12: eval_rank1_bb4_in->eval_rank1_2, Arg_6: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
12: eval_rank1_bb4_in->eval_rank1_2, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+Arg_7+8 {O(n^2)}
17: eval_rank1_bb5_in->eval_rank1_bb3_in, Arg_2: Arg_2 {O(n)}
17: eval_rank1_bb5_in->eval_rank1_bb3_in, Arg_3: Arg_2+1 {O(n)}
17: eval_rank1_bb5_in->eval_rank1_bb3_in, Arg_4: 3*Arg_2+Arg_4+5 {O(n)}
17: eval_rank1_bb5_in->eval_rank1_bb3_in, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
17: eval_rank1_bb5_in->eval_rank1_bb3_in, Arg_6: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
17: eval_rank1_bb5_in->eval_rank1_bb3_in, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+Arg_7+8 {O(n^2)}
19: eval_rank1_bb6_in->eval_rank1_bb1_in, Arg_2: Arg_2 {O(n)}
19: eval_rank1_bb6_in->eval_rank1_bb1_in, Arg_3: Arg_2+1 {O(n)}
19: eval_rank1_bb6_in->eval_rank1_bb1_in, Arg_4: 3*Arg_2+5 {O(n)}
19: eval_rank1_bb6_in->eval_rank1_bb1_in, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+4 {O(n^2)}
19: eval_rank1_bb6_in->eval_rank1_bb1_in, Arg_6: 4*Arg_2*Arg_2+10*Arg_2+Arg_6+8 {O(n^2)}
19: eval_rank1_bb6_in->eval_rank1_bb1_in, Arg_7: 4*Arg_2*Arg_2+10*Arg_2+8 {O(n^2)}
20: eval_rank1_bb7_in->eval_rank1_stop, Arg_2: 3*Arg_2 {O(n)}
20: eval_rank1_bb7_in->eval_rank1_stop, Arg_3: 3*Arg_2+2 {O(n)}
20: eval_rank1_bb7_in->eval_rank1_stop, Arg_4: 6*Arg_2+Arg_4+10 {O(n)}
20: eval_rank1_bb7_in->eval_rank1_stop, Arg_5: 2*Arg_2*Arg_2+5*Arg_2+5 {O(n^2)}
20: eval_rank1_bb7_in->eval_rank1_stop, Arg_6: 8*Arg_2*Arg_2+20*Arg_2+3*Arg_6+16 {O(n^2)}
20: eval_rank1_bb7_in->eval_rank1_stop, Arg_7: 8*Arg_2*Arg_2+20*Arg_2+Arg_7+16 {O(n^2)}
0: eval_rank1_start->eval_rank1_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_rank1_start->eval_rank1_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_rank1_start->eval_rank1_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_rank1_start->eval_rank1_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_rank1_start->eval_rank1_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_rank1_start->eval_rank1_bb0_in, Arg_5: Arg_5 {O(n)}
0: eval_rank1_start->eval_rank1_bb0_in, Arg_6: Arg_6 {O(n)}
0: eval_rank1_start->eval_rank1_bb0_in, Arg_7: Arg_7 {O(n)}