Initial Problem

Start: eval_realshellsort_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0, nondef.1, nondef.2
Locations: eval_realshellsort_.critedge_in, eval_realshellsort_2, eval_realshellsort_3, eval_realshellsort_4, eval_realshellsort_5, eval_realshellsort_bb0_in, eval_realshellsort_bb1_in, eval_realshellsort_bb2_in, eval_realshellsort_bb3_in, eval_realshellsort_bb4_in, eval_realshellsort_bb5_in, eval_realshellsort_bb6_in, eval_realshellsort_bb7_in, eval_realshellsort_start, eval_realshellsort_stop
Transitions:
22:eval_realshellsort_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5+1,Arg_6)
12:eval_realshellsort_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_3(Arg_0,nondef.1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
13:eval_realshellsort_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5)
18:eval_realshellsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_5(Arg_0,Arg_1,nondef.2,Arg_3,Arg_4,Arg_5,Arg_6)
20:eval_realshellsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_1
19:eval_realshellsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<Arg_2
1:eval_realshellsort_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_3,Arg_5,Arg_6)
2:eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb2_in(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4,0,Arg_6):|:Arg_4<=0 && 0<=Arg_4 && nondef.0<=0 && 0<=nondef.0 && 0<nondef.0
3:eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb2_in(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4,0,Arg_6):|:0<Arg_4 && 0<=nondef.0 && 2*nondef.0<=Arg_4 && Arg_4<2*nondef.0+2 && 0<nondef.0
4:eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb2_in(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4,0,Arg_6):|:Arg_4<0 && nondef.0<=0 && Arg_4<=2*nondef.0 && 2*nondef.0<Arg_4+2 && 0<nondef.0
5:eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_4<=0 && 0<=Arg_4 && nondef.0<=0 && 0<=nondef.0 && nondef.0<=0
6:eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_4 && 0<=nondef.0 && 2*nondef.0<=Arg_4 && Arg_4<2*nondef.0+2 && nondef.0<=0
7:eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_4<0 && nondef.0<=0 && Arg_4<=2*nondef.0 && 2*nondef.0<Arg_4+2 && nondef.0<=0
9:eval_realshellsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_0,Arg_5,Arg_6):|:Arg_3<=Arg_5
8:eval_realshellsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<Arg_3
10:eval_realshellsort_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
15:eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<Arg_0
14:eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_0<=Arg_6
16:eval_realshellsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
21:eval_realshellsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6-Arg_0)
23:eval_realshellsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
0:eval_realshellsort_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

Preprocessing

Cut unsatisfiable transition 2: eval_realshellsort_bb1_in->eval_realshellsort_bb2_in

Cut unsatisfiable transition 4: eval_realshellsort_bb1_in->eval_realshellsort_bb2_in

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 for location eval_realshellsort_5

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 for location eval_realshellsort_4

Found invariant Arg_4<=1 && Arg_4<=Arg_3 for location eval_realshellsort_bb7_in

Found invariant Arg_4<=1 && Arg_4<=Arg_3 for location eval_realshellsort_stop

Found invariant Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location eval_realshellsort_bb2_in

Found invariant 1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location eval_realshellsort_2

Found invariant 1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location eval_realshellsort_bb3_in

Found invariant Arg_4<=Arg_3 for location eval_realshellsort_bb1_in

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2 && 1<=Arg_0 for location eval_realshellsort_bb6_in

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 for location eval_realshellsort_bb5_in

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 0<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location eval_realshellsort_.critedge_in

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 0<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location eval_realshellsort_bb4_in

Found invariant 1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location eval_realshellsort_3

Problem after Preprocessing

Start: eval_realshellsort_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0, nondef.1, nondef.2
Locations: eval_realshellsort_.critedge_in, eval_realshellsort_2, eval_realshellsort_3, eval_realshellsort_4, eval_realshellsort_5, eval_realshellsort_bb0_in, eval_realshellsort_bb1_in, eval_realshellsort_bb2_in, eval_realshellsort_bb3_in, eval_realshellsort_bb4_in, eval_realshellsort_bb5_in, eval_realshellsort_bb6_in, eval_realshellsort_bb7_in, eval_realshellsort_start, eval_realshellsort_stop
Transitions:
22:eval_realshellsort_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5+1,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 0<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0
12:eval_realshellsort_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_3(Arg_0,nondef.1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0
13:eval_realshellsort_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5):|:1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0
18:eval_realshellsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_5(Arg_0,Arg_1,nondef.2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0
20:eval_realshellsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 && Arg_2<=Arg_1
19:eval_realshellsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 && Arg_1<Arg_2
1:eval_realshellsort_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_3,Arg_5,Arg_6)
3:eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb2_in(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4,0,Arg_6):|:Arg_4<=Arg_3 && 0<Arg_4 && 0<=nondef.0 && 2*nondef.0<=Arg_4 && Arg_4<2*nondef.0+2 && 0<nondef.0
5:eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_4<=Arg_3 && Arg_4<=0 && 0<=Arg_4 && nondef.0<=0 && 0<=nondef.0 && nondef.0<=0
6:eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_4<=Arg_3 && 0<Arg_4 && 0<=nondef.0 && 2*nondef.0<=Arg_4 && Arg_4<2*nondef.0+2 && nondef.0<=0
7:eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_4<=Arg_3 && Arg_4<0 && nondef.0<=0 && Arg_4<=2*nondef.0 && 2*nondef.0<Arg_4+2 && nondef.0<=0
9:eval_realshellsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_0,Arg_5,Arg_6):|:Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_3<=Arg_5
8:eval_realshellsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_5<Arg_3
10:eval_realshellsort_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0
15:eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 0<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_6<Arg_0
14:eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 0<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_0<=Arg_6
16:eval_realshellsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0
21:eval_realshellsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6-Arg_0):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2 && 1<=Arg_0
23:eval_realshellsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_4<=1 && Arg_4<=Arg_3
0:eval_realshellsort_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

MPRF for transition 3:eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb2_in(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4,0,Arg_6):|:Arg_4<=Arg_3 && 0<Arg_4 && 0<=nondef.0 && 2*nondef.0<=Arg_4 && Arg_4<2*nondef.0+2 && 0<nondef.0 of depth 1:

new bound:

Arg_3+1 {O(n)}

MPRF:

eval_realshellsort_3 [2*Arg_0 ]
eval_realshellsort_5 [2*Arg_0 ]
eval_realshellsort_bb2_in [2*Arg_0 ]
eval_realshellsort_bb1_in [Arg_4+1 ]
eval_realshellsort_bb3_in [2*Arg_0 ]
eval_realshellsort_2 [2*Arg_0 ]
eval_realshellsort_.critedge_in [2*Arg_0 ]
eval_realshellsort_bb5_in [2*Arg_0 ]
eval_realshellsort_4 [2*Arg_0 ]
eval_realshellsort_bb6_in [2*Arg_0 ]
eval_realshellsort_bb4_in [2*Arg_0 ]

MPRF for transition 9:eval_realshellsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_0,Arg_5,Arg_6):|:Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_3<=Arg_5 of depth 1:

new bound:

Arg_3+1 {O(n)}

MPRF:

eval_realshellsort_3 [Arg_0 ]
eval_realshellsort_5 [Arg_0 ]
eval_realshellsort_bb2_in [Arg_0 ]
eval_realshellsort_bb1_in [Arg_4-1 ]
eval_realshellsort_bb3_in [Arg_0 ]
eval_realshellsort_2 [Arg_0 ]
eval_realshellsort_.critedge_in [Arg_0 ]
eval_realshellsort_bb5_in [Arg_0 ]
eval_realshellsort_4 [Arg_0 ]
eval_realshellsort_bb6_in [Arg_0 ]
eval_realshellsort_bb4_in [Arg_0 ]

MPRF for transition 22:eval_realshellsort_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5+1,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 0<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 of depth 1:

new bound:

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

MPRF:

eval_realshellsort_3 [Arg_3-Arg_5 ]
eval_realshellsort_5 [Arg_3-Arg_5 ]
eval_realshellsort_bb1_in [Arg_3 ]
eval_realshellsort_bb2_in [Arg_3-Arg_5 ]
eval_realshellsort_bb3_in [Arg_3-Arg_5 ]
eval_realshellsort_2 [Arg_3-Arg_5 ]
eval_realshellsort_.critedge_in [Arg_3-Arg_5 ]
eval_realshellsort_bb5_in [Arg_3-Arg_5 ]
eval_realshellsort_4 [Arg_3-Arg_5 ]
eval_realshellsort_bb6_in [Arg_3-Arg_5 ]
eval_realshellsort_bb4_in [Arg_3-Arg_5 ]

MPRF for transition 12:eval_realshellsort_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_3(Arg_0,nondef.1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 of depth 1:

new bound:

Arg_3*Arg_3+3*Arg_3+2 {O(n^2)}

MPRF:

eval_realshellsort_3 [Arg_3-Arg_5 ]
eval_realshellsort_5 [Arg_3-Arg_5 ]
eval_realshellsort_bb1_in [Arg_3+1 ]
eval_realshellsort_bb2_in [Arg_3+1-Arg_5 ]
eval_realshellsort_bb3_in [Arg_3+1-Arg_5 ]
eval_realshellsort_2 [Arg_3+1-Arg_5 ]
eval_realshellsort_.critedge_in [Arg_3-Arg_5 ]
eval_realshellsort_bb5_in [Arg_3-Arg_5 ]
eval_realshellsort_4 [Arg_3-Arg_5 ]
eval_realshellsort_bb6_in [Arg_3-Arg_5 ]
eval_realshellsort_bb4_in [Arg_3-Arg_5 ]

MPRF for transition 13:eval_realshellsort_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5):|:1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 of depth 1:

new bound:

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

MPRF:

eval_realshellsort_3 [Arg_3+Arg_4-Arg_5 ]
eval_realshellsort_5 [Arg_3+Arg_4-Arg_5-1 ]
eval_realshellsort_bb1_in [2*Arg_3 ]
eval_realshellsort_bb2_in [Arg_3+Arg_4-Arg_5 ]
eval_realshellsort_bb3_in [Arg_3+Arg_4-Arg_5 ]
eval_realshellsort_2 [Arg_3+Arg_4-Arg_5 ]
eval_realshellsort_.critedge_in [Arg_3+Arg_4-Arg_5-1 ]
eval_realshellsort_bb5_in [Arg_3+Arg_4-Arg_5-1 ]
eval_realshellsort_4 [Arg_3+Arg_4-Arg_5-1 ]
eval_realshellsort_bb6_in [Arg_3+Arg_4-Arg_5-1 ]
eval_realshellsort_bb4_in [Arg_3+Arg_4-Arg_5-1 ]

MPRF for transition 20:eval_realshellsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 && Arg_2<=Arg_1 of depth 1:

new bound:

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

MPRF:

eval_realshellsort_3 [Arg_3-Arg_5 ]
eval_realshellsort_5 [Arg_3-Arg_5 ]
eval_realshellsort_bb1_in [Arg_3 ]
eval_realshellsort_bb2_in [Arg_3-Arg_5 ]
eval_realshellsort_bb3_in [Arg_3-Arg_5 ]
eval_realshellsort_2 [Arg_3-Arg_5 ]
eval_realshellsort_.critedge_in [Arg_3-Arg_5-1 ]
eval_realshellsort_bb5_in [Arg_3-Arg_5 ]
eval_realshellsort_4 [Arg_3-Arg_5 ]
eval_realshellsort_bb6_in [Arg_3-Arg_5 ]
eval_realshellsort_bb4_in [Arg_3-Arg_5 ]

MPRF for transition 8:eval_realshellsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_5<Arg_3 of depth 1:

new bound:

Arg_3*Arg_3+3*Arg_3+2 {O(n^2)}

MPRF:

eval_realshellsort_3 [Arg_3-Arg_5 ]
eval_realshellsort_5 [Arg_3-Arg_5 ]
eval_realshellsort_bb1_in [Arg_3+1 ]
eval_realshellsort_bb2_in [Arg_3+1-Arg_5 ]
eval_realshellsort_bb3_in [Arg_3-Arg_5 ]
eval_realshellsort_2 [Arg_3-Arg_5 ]
eval_realshellsort_.critedge_in [Arg_3-Arg_5 ]
eval_realshellsort_bb5_in [Arg_3-Arg_5 ]
eval_realshellsort_4 [Arg_3-Arg_5 ]
eval_realshellsort_bb6_in [Arg_3-Arg_5 ]
eval_realshellsort_bb4_in [Arg_3-Arg_5 ]

MPRF for transition 10:eval_realshellsort_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 of depth 1:

new bound:

Arg_3*Arg_3+3*Arg_3+2 {O(n^2)}

MPRF:

eval_realshellsort_3 [Arg_3-Arg_5 ]
eval_realshellsort_5 [Arg_3-Arg_5 ]
eval_realshellsort_bb1_in [Arg_3+1 ]
eval_realshellsort_bb2_in [Arg_3+1-Arg_5 ]
eval_realshellsort_bb3_in [Arg_3+1-Arg_5 ]
eval_realshellsort_2 [Arg_3-Arg_5 ]
eval_realshellsort_.critedge_in [Arg_3-Arg_5 ]
eval_realshellsort_bb5_in [Arg_3-Arg_5 ]
eval_realshellsort_4 [Arg_3-Arg_5 ]
eval_realshellsort_bb6_in [Arg_3-Arg_5 ]
eval_realshellsort_bb4_in [Arg_3-Arg_5 ]

MPRF for transition 15:eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_.critedge_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 0<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_6<Arg_0 of depth 1:

new bound:

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

MPRF:

eval_realshellsort_3 [Arg_3-Arg_5 ]
eval_realshellsort_5 [Arg_3-Arg_5 ]
eval_realshellsort_bb1_in [Arg_3 ]
eval_realshellsort_bb2_in [Arg_3-Arg_5 ]
eval_realshellsort_bb3_in [Arg_3-Arg_5 ]
eval_realshellsort_2 [Arg_3-Arg_5 ]
eval_realshellsort_.critedge_in [Arg_3-Arg_5-1 ]
eval_realshellsort_bb5_in [Arg_3-Arg_5 ]
eval_realshellsort_4 [Arg_3-Arg_5 ]
eval_realshellsort_bb6_in [Arg_3-Arg_5 ]
eval_realshellsort_bb4_in [Arg_3-Arg_5 ]

MPRF for transition 18:eval_realshellsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_5(Arg_0,Arg_1,nondef.2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 of depth 1:

new bound:

Arg_3*Arg_3*Arg_3*Arg_3+6*Arg_3*Arg_3*Arg_3+11*Arg_3*Arg_3+8*Arg_3+2 {O(n^4)}

MPRF:

eval_realshellsort_2 [Arg_3+Arg_5 ]
eval_realshellsort_3 [Arg_3+Arg_5 ]
eval_realshellsort_5 [Arg_0+Arg_6-2 ]
eval_realshellsort_bb3_in [2*Arg_0+2*Arg_5+1-3*Arg_3-Arg_4 ]
eval_realshellsort_bb2_in [2*Arg_0+Arg_5-2*Arg_3-Arg_4 ]
eval_realshellsort_bb1_in [2-2*Arg_3 ]
eval_realshellsort_.critedge_in [2*Arg_0-Arg_4-Arg_5-1 ]
eval_realshellsort_bb5_in [Arg_0+Arg_6-1 ]
eval_realshellsort_4 [Arg_0+Arg_6-1 ]
eval_realshellsort_bb6_in [Arg_0+Arg_6-2 ]
eval_realshellsort_bb4_in [Arg_0+Arg_6-1 ]

MPRF for transition 19:eval_realshellsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 && Arg_1<Arg_2 of depth 1:

new bound:

4*Arg_3*Arg_3*Arg_3*Arg_3+20*Arg_3*Arg_3*Arg_3+32*Arg_3*Arg_3+21*Arg_3+1 {O(n^4)}

MPRF:

eval_realshellsort_2 [4*Arg_5 ]
eval_realshellsort_3 [4*Arg_5 ]
eval_realshellsort_5 [2*Arg_5+2*Arg_6-1 ]
eval_realshellsort_bb3_in [2*Arg_0+2*Arg_5-4*Arg_3-1 ]
eval_realshellsort_bb2_in [2*Arg_0+2*Arg_5-4*Arg_3-1 ]
eval_realshellsort_bb1_in [Arg_4-4*Arg_3-1 ]
eval_realshellsort_.critedge_in [2*Arg_0+2*Arg_5+1-2*Arg_3-2*Arg_4 ]
eval_realshellsort_bb5_in [2*Arg_5+2*Arg_6-1 ]
eval_realshellsort_4 [2*Arg_5+2*Arg_6-1 ]
eval_realshellsort_bb6_in [2*Arg_5+2*Arg_6-3 ]
eval_realshellsort_bb4_in [2*Arg_5+2*Arg_6-1 ]

MPRF for transition 14:eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 0<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && Arg_0<=Arg_6 of depth 1:

new bound:

Arg_3*Arg_3*Arg_3*Arg_3+5*Arg_3*Arg_3*Arg_3+8*Arg_3*Arg_3+6*Arg_3 {O(n^4)}

MPRF:

eval_realshellsort_2 [Arg_5 ]
eval_realshellsort_3 [Arg_5+1-Arg_0 ]
eval_realshellsort_5 [Arg_6-Arg_0 ]
eval_realshellsort_bb3_in [-2*Arg_3 ]
eval_realshellsort_bb2_in [-2*Arg_3 ]
eval_realshellsort_bb1_in [-2*Arg_3 ]
eval_realshellsort_.critedge_in [-2*Arg_3 ]
eval_realshellsort_bb5_in [Arg_6-Arg_0 ]
eval_realshellsort_4 [Arg_6-Arg_0 ]
eval_realshellsort_bb6_in [Arg_6-Arg_0 ]
eval_realshellsort_bb4_in [Arg_6+1-Arg_0 ]

MPRF for transition 16:eval_realshellsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 of depth 1:

new bound:

Arg_3*Arg_3*Arg_3*Arg_3+5*Arg_3*Arg_3*Arg_3+8*Arg_3*Arg_3+5*Arg_3 {O(n^4)}

MPRF:

eval_realshellsort_2 [Arg_5 ]
eval_realshellsort_3 [Arg_5 ]
eval_realshellsort_5 [Arg_6-Arg_0 ]
eval_realshellsort_bb3_in [-Arg_3 ]
eval_realshellsort_bb2_in [-Arg_3 ]
eval_realshellsort_bb1_in [-Arg_3 ]
eval_realshellsort_.critedge_in [-Arg_3 ]
eval_realshellsort_bb5_in [Arg_6 ]
eval_realshellsort_4 [Arg_6-1 ]
eval_realshellsort_bb6_in [Arg_6-Arg_0 ]
eval_realshellsort_bb4_in [Arg_6 ]

MPRF for transition 21:eval_realshellsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realshellsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6-Arg_0):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2 && 1<=Arg_0 of depth 1:

new bound:

2*Arg_3*Arg_3*Arg_3*Arg_3+12*Arg_3*Arg_3*Arg_3+22*Arg_3*Arg_3+12*Arg_3+Arg_6+2 {O(n^4)}

MPRF:

eval_realshellsort_2 [2*Arg_3+2*Arg_5 ]
eval_realshellsort_3 [Arg_0+Arg_3+2*Arg_5 ]
eval_realshellsort_5 [Arg_5+2*Arg_6-Arg_0 ]
eval_realshellsort_bb3_in [Arg_5+Arg_6-2 ]
eval_realshellsort_bb2_in [Arg_5+Arg_6-2 ]
eval_realshellsort_bb1_in [Arg_6-2 ]
eval_realshellsort_.critedge_in [Arg_5+Arg_6-1 ]
eval_realshellsort_bb5_in [Arg_5+2*Arg_6-Arg_0 ]
eval_realshellsort_4 [Arg_5+2*Arg_6-Arg_0 ]
eval_realshellsort_bb6_in [Arg_5+2*Arg_6-Arg_0 ]
eval_realshellsort_bb4_in [Arg_0+Arg_5+2*Arg_6-2 ]

Analysing control-flow refined program

Cut unsatisfiable transition 9: eval_realshellsort_bb2_in->eval_realshellsort_bb1_in

Found invariant Arg_5<=0 && 2+Arg_5<=Arg_4 && 2+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_2___26

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_0 for location n_eval_realshellsort__Pcritedge_in___14

Found invariant 1+Arg_6<=Arg_5 && 1+Arg_6<=Arg_4 && 2+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 1<=Arg_5+Arg_6 && Arg_5<=1+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_4 && 1+Arg_5<=Arg_3 && Arg_5<=Arg_0 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_2___20

Found invariant Arg_5<=0 && 2+Arg_5<=Arg_4 && 2+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_3___25

Found invariant 1+Arg_6<=Arg_5 && 1+Arg_6<=Arg_4 && 2+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2 && 1<=Arg_0 for location n_eval_realshellsort__Pcritedge_in___6

Found invariant 1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 2<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_3___9

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_4 && 1+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort__Pcritedge_in___23

Found invariant Arg_6<=0 && Arg_6<=Arg_5 && Arg_5+Arg_6<=0 && 2+Arg_6<=Arg_4 && 2+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=0 && 2+Arg_5<=Arg_4 && 2+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_bb4_in___24

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_4___16

Found invariant Arg_4<=1 && Arg_4<=Arg_3 for location eval_realshellsort_bb7_in

Found invariant Arg_5<=0 && 2+Arg_5<=Arg_4 && 2+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_bb3_in___27

Found invariant Arg_6<=Arg_5 && Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && Arg_6<=Arg_0 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_5<=Arg_4 && 1+Arg_5<=Arg_3 && Arg_5<=Arg_0 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_bb4_in___18

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 2<=Arg_6 && 4<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 4<=Arg_4+Arg_6 && 5<=Arg_3+Arg_6 && 3<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_bb4_in___8

Found invariant Arg_4<=1 && Arg_4<=Arg_3 for location eval_realshellsort_stop

Found invariant Arg_5<=0 && 2+Arg_5<=Arg_4 && 2+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location eval_realshellsort_bb2_in

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2 && 1<=Arg_0 for location n_eval_realshellsort_bb6_in___13

Found invariant 1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 1<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 4<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2 && 1<=Arg_0 for location n_eval_realshellsort_bb5_in___5

Found invariant 1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 1<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 4<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2 && 1<=Arg_0 for location n_eval_realshellsort_bb6_in___1

Found invariant 1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 1<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 4<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2 && 1<=Arg_0 for location n_eval_realshellsort_4___4

Found invariant 1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 2<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_bb3_in___11

Found invariant 1+Arg_6<=Arg_5 && 1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 1<=Arg_5+Arg_6 && Arg_5<=1+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_0 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_bb2_in___22

Found invariant 1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 1<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 4<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_0 for location n_eval_realshellsort__Pcritedge_in___2

Found invariant Arg_4<=Arg_3 for location eval_realshellsort_bb1_in

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_bb5_in___17

Found invariant 1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 2<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_2___10

Found invariant 1+Arg_6<=Arg_5 && 1+Arg_6<=Arg_4 && 2+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 1<=Arg_5+Arg_6 && Arg_5<=1+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_4 && 1+Arg_5<=Arg_3 && Arg_5<=Arg_0 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_3___19

Found invariant 1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 1<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 4<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_5___3

Found invariant 1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 1<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2 && 1<=Arg_0 for location n_eval_realshellsort_bb4_in___7

Found invariant Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_5___15

Found invariant 1+Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 0<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 4<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_bb2_in___12

Found invariant 1+Arg_6<=Arg_5 && 1+Arg_6<=Arg_4 && 2+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 1<=Arg_5+Arg_6 && Arg_5<=1+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_4 && 1+Arg_5<=Arg_3 && Arg_5<=Arg_0 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 for location n_eval_realshellsort_bb3_in___21

knowledge_propagation leads to new time bound Arg_3+1 {O(n)} for transition 187:eval_realshellsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_bb3_in___27(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=0 && 2+Arg_5<=Arg_4 && 2+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 0<=Arg_5 && Arg_0<=Arg_4 && Arg_5<Arg_3 && Arg_4<=Arg_3 && Arg_5<Arg_0 && Arg_5<Arg_3 && Arg_4<=Arg_3 && 2<=Arg_4 && 0<=Arg_5 && 1<=Arg_0 && Arg_0<=Arg_4

knowledge_propagation leads to new time bound Arg_3+1 {O(n)} for transition 190:n_eval_realshellsort_bb3_in___27(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_2___26(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=0 && 2+Arg_5<=Arg_4 && 2+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 0<=Arg_5 && 1<=Arg_0 && Arg_0<=Arg_4 && Arg_5<Arg_0 && 2<=Arg_4 && Arg_4<=Arg_3 && 1+Arg_5<=Arg_3 && Arg_4<=Arg_3 && 2<=Arg_4 && 0<=Arg_5 && 1<=Arg_0 && Arg_0<=Arg_4

knowledge_propagation leads to new time bound Arg_3+1 {O(n)} for transition 171:n_eval_realshellsort_2___26(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_3___25(Arg_0,NoDet0,Arg_2,Arg_3,Arg4_P,Arg5_P,Arg_6):|:Arg_5<=0 && 2+Arg_5<=Arg_4 && 2+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 1+Arg_5<=Arg_3 && 0<=Arg_5 && Arg_4<=Arg_3 && 1<=Arg_0 && Arg_5<Arg_0 && Arg_0<=Arg_4 && 2<=Arg_4 && 0<=Arg5_P && 1<=Arg_0 && 1+Arg5_P<=Arg_3 && Arg_0<=Arg4_P && 2<=Arg4_P && Arg4_P<=Arg_3 && Arg_4<=Arg4_P && Arg4_P<=Arg_4 && Arg_5<=Arg5_P && Arg5_P<=Arg_5

knowledge_propagation leads to new time bound Arg_3+1 {O(n)} for transition 173:n_eval_realshellsort_3___25(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_bb4_in___24(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5):|:Arg_5<=0 && 2+Arg_5<=Arg_4 && 2+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 1+Arg_5<=Arg_3 && 0<=Arg_5 && Arg_4<=Arg_3 && 1<=Arg_0 && Arg_5<Arg_0 && Arg_0<=Arg_4 && 2<=Arg_4 && 1+Arg_5<=Arg_3 && Arg_4<=Arg_3 && 2<=Arg_4 && 0<=Arg_5 && 1<=Arg_0 && Arg_0<=Arg_4

knowledge_propagation leads to new time bound Arg_3+1 {O(n)} for transition 193:n_eval_realshellsort_bb4_in___24(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort__Pcritedge_in___23(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=0 && Arg_6<=Arg_5 && Arg_5+Arg_6<=0 && 2+Arg_6<=Arg_4 && 2+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=0 && 2+Arg_5<=Arg_4 && 2+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 1<=Arg_0 && 1<=Arg_0+Arg_6 && Arg_4<=Arg_3 && 2<=Arg_3+Arg_6 && 0<=Arg_5+Arg_6 && Arg_6<=Arg_5 && Arg_6<Arg_0 && 1+Arg_5<=Arg_3 && 2<=Arg_4 && Arg_0<=Arg_4 && Arg_5<=Arg_6 && Arg_6<=Arg_5 && Arg_4<=Arg_3 && 1+Arg_5<=Arg_3 && Arg_0<=Arg_4 && 2<=Arg_4 && 1<=Arg_0 && 0<=Arg_5 && 2<=Arg_3+Arg_6 && 1+Arg_5<=Arg_3 && Arg_4<=Arg_3 && Arg_6<Arg_0 && 2<=Arg_4 && 0<=Arg_5+Arg_6 && 1<=Arg_0 && Arg_6<=Arg_5 && 1<=Arg_0+Arg_6 && Arg_0<=Arg_4

MPRF for transition 169:n_eval_realshellsort_2___10(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_3___9(Arg_0,NoDet0,Arg_2,Arg_3,Arg4_P,Arg5_P,Arg_6):|:1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 2<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_0 && Arg_4<=Arg_3 && 1<=Arg_0+Arg_6 && 1<=Arg_0 && 1+Arg_6<=Arg_5 && 2<=Arg_4 && Arg_0<=Arg_4 && Arg_0<=Arg_5 && 1+Arg_5<=Arg_3 && 0<=Arg5_P && 1<=Arg_0 && 1+Arg5_P<=Arg_3 && Arg_0<=Arg4_P && 2<=Arg4_P && Arg4_P<=Arg_3 && Arg_4<=Arg4_P && Arg4_P<=Arg_4 && Arg_5<=Arg5_P && Arg5_P<=Arg_5 of depth 1:

new bound:

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

MPRF:

eval_realshellsort_bb2_in [0 ]
n_eval_realshellsort_3___19 [Arg_3 ]
n_eval_realshellsort_3___25 [0 ]
n_eval_realshellsort_bb4_in___24 [0 ]
n_eval_realshellsort_3___9 [Arg_3-Arg_5 ]
n_eval_realshellsort_5___15 [Arg_3-Arg_6 ]
n_eval_realshellsort_5___3 [Arg_3-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___14 [Arg_3-Arg_6 ]
n_eval_realshellsort__Pcritedge_in___2 [Arg_3-Arg_5 ]
n_eval_realshellsort_bb2_in___12 [Arg_3+1-Arg_5 ]
n_eval_realshellsort_bb2_in___22 [Arg_3 ]
eval_realshellsort_bb1_in [0 ]
n_eval_realshellsort_bb3_in___11 [Arg_3+1-Arg_5 ]
n_eval_realshellsort_2___10 [Arg_3+1-Arg_5 ]
n_eval_realshellsort_bb3_in___21 [Arg_3 ]
n_eval_realshellsort_2___20 [Arg_3 ]
n_eval_realshellsort_bb3_in___27 [0 ]
n_eval_realshellsort_2___26 [0 ]
n_eval_realshellsort__Pcritedge_in___23 [Arg_3 ]
n_eval_realshellsort_bb4_in___18 [Arg_3 ]
n_eval_realshellsort__Pcritedge_in___6 [Arg_3-Arg_5 ]
n_eval_realshellsort_bb4_in___8 [Arg_3-Arg_6 ]
n_eval_realshellsort_bb5_in___17 [Arg_3-Arg_5 ]
n_eval_realshellsort_4___16 [Arg_3-Arg_6 ]
n_eval_realshellsort_bb5_in___5 [Arg_3-Arg_5 ]
n_eval_realshellsort_4___4 [Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___1 [Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___13 [Arg_3-Arg_6 ]
n_eval_realshellsort_bb4_in___7 [Arg_3-Arg_5 ]

MPRF for transition 170:n_eval_realshellsort_2___20(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_3___19(Arg_0,NoDet0,Arg_2,Arg_3,Arg4_P,Arg5_P,Arg_6):|:1+Arg_6<=Arg_5 && 1+Arg_6<=Arg_4 && 2+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 1<=Arg_5+Arg_6 && Arg_5<=1+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_4 && 1+Arg_5<=Arg_3 && Arg_5<=Arg_0 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 1<=Arg_0 && Arg_4<=Arg_3 && 1+Arg_6<=Arg_5 && 1<=Arg_0+Arg_6 && Arg_0<=Arg_4 && 2<=Arg_4 && 1<=Arg_5+Arg_6 && 1+Arg_5<=Arg_3 && 0<=Arg5_P && 1<=Arg_0 && 1+Arg5_P<=Arg_3 && Arg_0<=Arg4_P && 2<=Arg4_P && Arg4_P<=Arg_3 && Arg_4<=Arg4_P && Arg4_P<=Arg_4 && Arg_5<=Arg5_P && Arg5_P<=Arg_5 of depth 1:

new bound:

Arg_3 {O(n)}

MPRF:

eval_realshellsort_bb2_in [2*Arg_0 ]
n_eval_realshellsort_3___19 [2*Arg_0-Arg_5 ]
n_eval_realshellsort_3___25 [2*Arg_0 ]
n_eval_realshellsort_3___9 [Arg_0 ]
n_eval_realshellsort_5___15 [Arg_0 ]
n_eval_realshellsort_5___3 [Arg_0 ]
n_eval_realshellsort__Pcritedge_in___14 [Arg_0 ]
n_eval_realshellsort__Pcritedge_in___2 [Arg_0 ]
n_eval_realshellsort_bb2_in___12 [Arg_0 ]
n_eval_realshellsort_bb2_in___22 [2*Arg_0-Arg_6 ]
eval_realshellsort_bb1_in [Arg_4 ]
n_eval_realshellsort_bb3_in___11 [Arg_0 ]
n_eval_realshellsort_2___10 [Arg_0 ]
n_eval_realshellsort_bb3_in___21 [2*Arg_0+1-Arg_5 ]
n_eval_realshellsort_2___20 [2*Arg_0+Arg_6+2-2*Arg_5 ]
n_eval_realshellsort_bb3_in___27 [2*Arg_0 ]
n_eval_realshellsort_2___26 [2*Arg_0 ]
n_eval_realshellsort_bb4_in___18 [2*Arg_0-Arg_5 ]
n_eval_realshellsort_bb4_in___24 [2*Arg_0 ]
n_eval_realshellsort__Pcritedge_in___23 [2*Arg_0-Arg_6 ]
n_eval_realshellsort__Pcritedge_in___6 [Arg_0 ]
n_eval_realshellsort_bb4_in___8 [Arg_0 ]
n_eval_realshellsort_bb5_in___17 [Arg_0 ]
n_eval_realshellsort_4___16 [Arg_0 ]
n_eval_realshellsort_bb5_in___5 [Arg_0 ]
n_eval_realshellsort_4___4 [Arg_0 ]
n_eval_realshellsort_bb6_in___1 [Arg_0 ]
n_eval_realshellsort_bb6_in___13 [Arg_0 ]
n_eval_realshellsort_bb4_in___7 [Arg_0 ]

MPRF for transition 172:n_eval_realshellsort_3___19(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_bb4_in___18(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5):|:1+Arg_6<=Arg_5 && 1+Arg_6<=Arg_4 && 2+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 1<=Arg_5+Arg_6 && Arg_5<=1+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_4 && 1+Arg_5<=Arg_3 && Arg_5<=Arg_0 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 1<=Arg_0 && Arg_4<=Arg_3 && 1+Arg_6<=Arg_5 && 1<=Arg_0+Arg_6 && Arg_0<=Arg_4 && 2<=Arg_4 && 1<=Arg_5+Arg_6 && 1+Arg_5<=Arg_3 && 1+Arg_5<=Arg_3 && Arg_4<=Arg_3 && 2<=Arg_4 && 0<=Arg_5 && 1<=Arg_0 && Arg_0<=Arg_4 of depth 1:

new bound:

Arg_3 {O(n)}

MPRF:

eval_realshellsort_bb2_in [2*Arg_0 ]
n_eval_realshellsort_3___19 [2*Arg_0+1-Arg_5 ]
n_eval_realshellsort_3___25 [2*Arg_0 ]
n_eval_realshellsort_3___9 [Arg_0 ]
n_eval_realshellsort_5___15 [Arg_0 ]
n_eval_realshellsort_5___3 [Arg_0 ]
n_eval_realshellsort__Pcritedge_in___14 [Arg_0 ]
n_eval_realshellsort__Pcritedge_in___2 [Arg_0 ]
n_eval_realshellsort_bb2_in___12 [Arg_0 ]
n_eval_realshellsort_bb2_in___22 [2*Arg_0-Arg_6 ]
eval_realshellsort_bb1_in [Arg_4 ]
n_eval_realshellsort_bb3_in___11 [Arg_0 ]
n_eval_realshellsort_2___10 [Arg_0 ]
n_eval_realshellsort_bb3_in___21 [2*Arg_0-Arg_6 ]
n_eval_realshellsort_2___20 [2*Arg_0+1-Arg_5 ]
n_eval_realshellsort_bb3_in___27 [2*Arg_0 ]
n_eval_realshellsort_2___26 [2*Arg_0 ]
n_eval_realshellsort_bb4_in___18 [2*Arg_0-Arg_6 ]
n_eval_realshellsort_bb4_in___24 [2*Arg_0 ]
n_eval_realshellsort__Pcritedge_in___23 [2*Arg_0-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___6 [Arg_0 ]
n_eval_realshellsort_bb4_in___8 [Arg_0 ]
n_eval_realshellsort_bb5_in___17 [Arg_0 ]
n_eval_realshellsort_4___16 [Arg_0 ]
n_eval_realshellsort_bb5_in___5 [Arg_0 ]
n_eval_realshellsort_4___4 [Arg_0 ]
n_eval_realshellsort_bb6_in___1 [Arg_0 ]
n_eval_realshellsort_bb6_in___13 [Arg_0 ]
n_eval_realshellsort_bb4_in___7 [Arg_0 ]

MPRF for transition 174:n_eval_realshellsort_3___9(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_bb4_in___8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5):|:1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 2<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_0 && Arg_4<=Arg_3 && 1<=Arg_0+Arg_6 && 1<=Arg_0 && 1+Arg_6<=Arg_5 && 2<=Arg_4 && Arg_0<=Arg_4 && Arg_0<=Arg_5 && 1+Arg_5<=Arg_3 && 1+Arg_5<=Arg_3 && Arg_4<=Arg_3 && 2<=Arg_4 && 0<=Arg_5 && 1<=Arg_0 && Arg_0<=Arg_4 of depth 1:

new bound:

3*Arg_3*Arg_3+6*Arg_3 {O(n^2)}

MPRF:

eval_realshellsort_bb2_in [2*Arg_3-Arg_4 ]
n_eval_realshellsort_3___19 [3*Arg_3 ]
n_eval_realshellsort_3___25 [2*Arg_3-Arg_4 ]
n_eval_realshellsort_bb4_in___24 [2*Arg_3-Arg_4 ]
n_eval_realshellsort_3___9 [3*Arg_3+1-Arg_0-Arg_5 ]
n_eval_realshellsort_5___15 [3*Arg_3-Arg_0-Arg_5 ]
n_eval_realshellsort_5___3 [3*Arg_3-Arg_0-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___14 [3*Arg_3-Arg_0-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___2 [3*Arg_3-Arg_0-Arg_5 ]
n_eval_realshellsort_bb2_in___12 [3*Arg_3+1-Arg_0-Arg_5 ]
n_eval_realshellsort_bb2_in___22 [3*Arg_3 ]
eval_realshellsort_bb1_in [2*Arg_3-Arg_4 ]
n_eval_realshellsort_bb3_in___11 [3*Arg_3+1-Arg_0-Arg_5 ]
n_eval_realshellsort_2___10 [3*Arg_3+1-Arg_0-Arg_5 ]
n_eval_realshellsort_bb3_in___21 [3*Arg_3 ]
n_eval_realshellsort_2___20 [3*Arg_3 ]
n_eval_realshellsort_bb3_in___27 [2*Arg_3-Arg_4 ]
n_eval_realshellsort_2___26 [2*Arg_3-Arg_4 ]
n_eval_realshellsort__Pcritedge_in___23 [3*Arg_3 ]
n_eval_realshellsort_bb4_in___18 [3*Arg_3 ]
n_eval_realshellsort__Pcritedge_in___6 [3*Arg_3-Arg_0-Arg_5 ]
n_eval_realshellsort_bb4_in___8 [3*Arg_3-Arg_0-Arg_6 ]
n_eval_realshellsort_bb5_in___17 [3*Arg_3-Arg_0-Arg_5 ]
n_eval_realshellsort_4___16 [3*Arg_3-Arg_0-Arg_6 ]
n_eval_realshellsort_bb5_in___5 [3*Arg_3-Arg_0-Arg_5 ]
n_eval_realshellsort_4___4 [3*Arg_3-Arg_0-Arg_5 ]
n_eval_realshellsort_bb6_in___1 [3*Arg_3-Arg_0-Arg_5 ]
n_eval_realshellsort_bb6_in___13 [3*Arg_3-Arg_0-Arg_5 ]
n_eval_realshellsort_bb4_in___7 [3*Arg_3-Arg_0-Arg_5 ]

MPRF for transition 175:n_eval_realshellsort_4___16(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_5___15(Arg_0,Arg_1,NoDet0,Arg_3,Arg4_P,Arg5_P,Arg6_P):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 && Arg_0<=Arg_4 && Arg_4<=Arg_3 && 1<=Arg_0 && 2<=Arg_4 && Arg_0<=Arg_6 && 1+Arg_6<=Arg_3 && Arg_5<=Arg_6 && Arg_6<=Arg_5 && Arg_0<=Arg4_P && 1<=Arg_0 && Arg4_P<=Arg_3 && 2<=Arg4_P && Arg_0<=Arg6_P && 1+Arg5_P<=Arg_3 && Arg6_P<=Arg5_P && Arg_4<=Arg4_P && Arg4_P<=Arg_4 && Arg_5<=Arg5_P && Arg5_P<=Arg_5 && Arg_6<=Arg6_P && Arg6_P<=Arg_6 of depth 1:

new bound:

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

MPRF:

eval_realshellsort_bb2_in [0 ]
n_eval_realshellsort_3___19 [Arg_3 ]
n_eval_realshellsort_3___25 [0 ]
n_eval_realshellsort_bb4_in___24 [0 ]
n_eval_realshellsort_3___9 [Arg_3+1-Arg_5 ]
n_eval_realshellsort_5___15 [Arg_3-Arg_5 ]
n_eval_realshellsort_5___3 [Arg_3-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___14 [Arg_3-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___2 [Arg_3-Arg_5 ]
n_eval_realshellsort_bb2_in___12 [Arg_3+1-Arg_5 ]
n_eval_realshellsort_bb2_in___22 [Arg_3 ]
eval_realshellsort_bb1_in [0 ]
n_eval_realshellsort_bb3_in___11 [Arg_3+1-Arg_5 ]
n_eval_realshellsort_2___10 [Arg_3+1-Arg_5 ]
n_eval_realshellsort_bb3_in___21 [Arg_3 ]
n_eval_realshellsort_2___20 [Arg_3 ]
n_eval_realshellsort_bb3_in___27 [0 ]
n_eval_realshellsort_2___26 [0 ]
n_eval_realshellsort__Pcritedge_in___23 [Arg_3 ]
n_eval_realshellsort_bb4_in___18 [Arg_3 ]
n_eval_realshellsort__Pcritedge_in___6 [Arg_3-Arg_5 ]
n_eval_realshellsort_bb4_in___8 [Arg_3+1-Arg_5 ]
n_eval_realshellsort_bb5_in___17 [Arg_3+1-Arg_6 ]
n_eval_realshellsort_4___16 [Arg_3+1-Arg_6 ]
n_eval_realshellsort_bb5_in___5 [Arg_3-Arg_5 ]
n_eval_realshellsort_4___4 [Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___1 [Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___13 [Arg_3-Arg_5 ]
n_eval_realshellsort_bb4_in___7 [Arg_3-Arg_5 ]

MPRF for transition 177:n_eval_realshellsort_5___15(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort__Pcritedge_in___14(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 && Arg_0<=Arg_4 && Arg_4<=Arg_3 && 1<=Arg_0 && 2<=Arg_4 && Arg_0<=Arg_6 && 1+Arg_6<=Arg_3 && Arg_5<=Arg_6 && Arg_6<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && Arg_6<=Arg_5 && 1+Arg_5<=Arg_3 && 1<=Arg_0 && Arg_0<=Arg_4 && Arg_2<=Arg_1 && Arg_0<=Arg_6 of depth 1:

new bound:

2*Arg_3*Arg_3+3*Arg_3 {O(n^2)}

MPRF:

eval_realshellsort_bb2_in [Arg_3 ]
n_eval_realshellsort_3___19 [2*Arg_3 ]
n_eval_realshellsort_3___25 [Arg_3 ]
n_eval_realshellsort_bb4_in___24 [Arg_3 ]
n_eval_realshellsort_3___9 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_5___15 [2*Arg_3-Arg_6 ]
n_eval_realshellsort_5___3 [2*Arg_3-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___14 [2*Arg_3-Arg_5-1 ]
n_eval_realshellsort__Pcritedge_in___2 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb2_in___12 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb2_in___22 [2*Arg_3 ]
eval_realshellsort_bb1_in [Arg_3 ]
n_eval_realshellsort_bb3_in___11 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_2___10 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb3_in___21 [2*Arg_3 ]
n_eval_realshellsort_2___20 [2*Arg_3 ]
n_eval_realshellsort_bb3_in___27 [Arg_3 ]
n_eval_realshellsort_2___26 [Arg_3 ]
n_eval_realshellsort__Pcritedge_in___23 [2*Arg_3 ]
n_eval_realshellsort_bb4_in___18 [2*Arg_3 ]
n_eval_realshellsort__Pcritedge_in___6 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb4_in___8 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb5_in___17 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_4___16 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb5_in___5 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_4___4 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___1 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___13 [2*Arg_3-Arg_6 ]
n_eval_realshellsort_bb4_in___7 [2*Arg_3-Arg_5 ]

MPRF for transition 178:n_eval_realshellsort_5___15(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_bb6_in___13(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 && Arg_0<=Arg_4 && Arg_4<=Arg_3 && 1<=Arg_0 && 2<=Arg_4 && Arg_0<=Arg_6 && 1+Arg_6<=Arg_3 && Arg_5<=Arg_6 && Arg_6<=Arg_5 && 2<=Arg_4 && Arg_6<=Arg_5 && Arg_4<=Arg_3 && Arg_1<Arg_2 && 1<=Arg_0 && Arg_0<=Arg_4 && 1+Arg_5<=Arg_3 && Arg_0<=Arg_6 of depth 1:

new bound:

2*Arg_3*Arg_3+3*Arg_3 {O(n^2)}

MPRF:

eval_realshellsort_bb2_in [Arg_3 ]
n_eval_realshellsort_3___19 [2*Arg_3 ]
n_eval_realshellsort_3___25 [Arg_3 ]
n_eval_realshellsort_bb4_in___24 [Arg_3 ]
n_eval_realshellsort_3___9 [2*Arg_3+1-Arg_5 ]
n_eval_realshellsort_5___15 [2*Arg_3+1-Arg_5 ]
n_eval_realshellsort_5___3 [2*Arg_3-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___14 [2*Arg_3+1-Arg_6 ]
n_eval_realshellsort__Pcritedge_in___2 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb2_in___12 [2*Arg_3+1-Arg_5 ]
n_eval_realshellsort_bb2_in___22 [2*Arg_3 ]
eval_realshellsort_bb1_in [Arg_3 ]
n_eval_realshellsort_bb3_in___11 [2*Arg_3+1-Arg_5 ]
n_eval_realshellsort_2___10 [2*Arg_3+1-Arg_5 ]
n_eval_realshellsort_bb3_in___21 [2*Arg_3 ]
n_eval_realshellsort_2___20 [2*Arg_3 ]
n_eval_realshellsort_bb3_in___27 [Arg_3 ]
n_eval_realshellsort_2___26 [Arg_3 ]
n_eval_realshellsort__Pcritedge_in___23 [2*Arg_3 ]
n_eval_realshellsort_bb4_in___18 [2*Arg_3 ]
n_eval_realshellsort__Pcritedge_in___6 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb4_in___8 [2*Arg_3+1-Arg_6 ]
n_eval_realshellsort_bb5_in___17 [2*Arg_3+1-Arg_5 ]
n_eval_realshellsort_4___16 [2*Arg_3+1-Arg_5 ]
n_eval_realshellsort_bb5_in___5 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_4___4 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___1 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___13 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb4_in___7 [2*Arg_3-Arg_5 ]

MPRF for transition 179:n_eval_realshellsort_5___3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort__Pcritedge_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 1<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 4<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && 1<=Arg_0 && Arg_0<=Arg_4 && Arg_4<=Arg_3 && 1<=Arg_0 && 2<=Arg_4 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && Arg_0+Arg_6<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && Arg_6<=Arg_5 && 1+Arg_5<=Arg_3 && 1<=Arg_0 && Arg_0<=Arg_4 && Arg_2<=Arg_1 && Arg_0<=Arg_6 of depth 1:

new bound:

Arg_3*Arg_3+2*Arg_3+1 {O(n^2)}

MPRF:

eval_realshellsort_bb2_in [0 ]
n_eval_realshellsort_3___19 [Arg_3+1 ]
n_eval_realshellsort_3___25 [0 ]
n_eval_realshellsort_bb4_in___24 [0 ]
n_eval_realshellsort_3___9 [Arg_3+2-Arg_5 ]
n_eval_realshellsort_5___15 [Arg_3+2-Arg_5 ]
n_eval_realshellsort_5___3 [Arg_3+2-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___14 [Arg_3+1-Arg_6 ]
n_eval_realshellsort__Pcritedge_in___2 [Arg_3+1-Arg_5 ]
n_eval_realshellsort_bb2_in___12 [Arg_3+2-Arg_5 ]
n_eval_realshellsort_bb2_in___22 [Arg_3+1 ]
eval_realshellsort_bb1_in [0 ]
n_eval_realshellsort_bb3_in___11 [Arg_3+2-Arg_5 ]
n_eval_realshellsort_2___10 [Arg_3+2-Arg_5 ]
n_eval_realshellsort_bb3_in___21 [Arg_3+1 ]
n_eval_realshellsort_2___20 [Arg_3+1 ]
n_eval_realshellsort_bb3_in___27 [0 ]
n_eval_realshellsort_2___26 [0 ]
n_eval_realshellsort__Pcritedge_in___23 [Arg_3+1 ]
n_eval_realshellsort_bb4_in___18 [Arg_3+1 ]
n_eval_realshellsort__Pcritedge_in___6 [Arg_3+1-Arg_5 ]
n_eval_realshellsort_bb4_in___8 [Arg_3+2-Arg_5 ]
n_eval_realshellsort_bb5_in___17 [Arg_3+2-Arg_5 ]
n_eval_realshellsort_4___16 [Arg_3+2-Arg_6 ]
n_eval_realshellsort_bb5_in___5 [Arg_3+2-Arg_5 ]
n_eval_realshellsort_4___4 [Arg_3+2-Arg_5 ]
n_eval_realshellsort_bb6_in___1 [Arg_3+2-Arg_5 ]
n_eval_realshellsort_bb6_in___13 [Arg_3+2-Arg_5 ]
n_eval_realshellsort_bb4_in___7 [Arg_3+2-Arg_5 ]

MPRF for transition 181:n_eval_realshellsort__Pcritedge_in___14(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_bb2_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5+1,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 3<=Arg_4+Arg_6 && 3<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_4 && 1<=Arg_0 && Arg_4<=Arg_3 && 2<=Arg_4 && Arg_0<=Arg_6 && 1+Arg_6<=Arg_3 && Arg_2<=Arg_1 && Arg_5<=Arg_6 && Arg_6<=Arg_5 && 1+Arg_5<=Arg_3 && Arg_4<=Arg_3 && 2<=Arg_3+Arg_6 && 2<=Arg_4 && 0<=Arg_5+Arg_6 && 1<=Arg_0 && Arg_6<=Arg_5 && 1<=Arg_0+Arg_6 && Arg_0<=Arg_4 of depth 1:

new bound:

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

MPRF:

eval_realshellsort_bb2_in [0 ]
n_eval_realshellsort_3___19 [2*Arg_3 ]
n_eval_realshellsort_3___25 [0 ]
n_eval_realshellsort_bb4_in___24 [0 ]
n_eval_realshellsort_3___9 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort_5___15 [2*Arg_3-2*Arg_6 ]
n_eval_realshellsort_5___3 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort__Pcritedge_in___14 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort__Pcritedge_in___2 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort_bb2_in___12 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort_bb2_in___22 [2*Arg_3 ]
eval_realshellsort_bb1_in [0 ]
n_eval_realshellsort_bb3_in___11 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort_2___10 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort_bb3_in___21 [2*Arg_3 ]
n_eval_realshellsort_2___20 [2*Arg_3 ]
n_eval_realshellsort_bb3_in___27 [0 ]
n_eval_realshellsort_2___26 [0 ]
n_eval_realshellsort__Pcritedge_in___23 [2*Arg_3 ]
n_eval_realshellsort_bb4_in___18 [2*Arg_3 ]
n_eval_realshellsort__Pcritedge_in___6 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort_bb4_in___8 [2*Arg_3-2*Arg_6 ]
n_eval_realshellsort_bb5_in___17 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort_4___16 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort_bb5_in___5 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort_4___4 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort_bb6_in___1 [2*Arg_3-2*Arg_5 ]
n_eval_realshellsort_bb6_in___13 [2*Arg_3-2*Arg_6 ]
n_eval_realshellsort_bb4_in___7 [2*Arg_3-2*Arg_5 ]

MPRF for transition 182:n_eval_realshellsort__Pcritedge_in___2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_bb2_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5+1,Arg_6):|:1+Arg_6<=Arg_5 && 2+Arg_6<=Arg_3 && 1<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 4<=Arg_3+Arg_6 && 2<=Arg_0+Arg_6 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 5<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 5<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 3<=Arg_3 && 4<=Arg_0+Arg_3 && 2+Arg_0<=Arg_3 && Arg_2<=Arg_1 && 1<=Arg_0 && Arg_0<=Arg_4 && Arg_4<=Arg_3 && 1<=Arg_0 && 2<=Arg_4 && Arg_0<=Arg_6 && 1+Arg_5<=Arg_3 && Arg_0+Arg_6<=Arg_5 && Arg_2<=Arg_1 && 1+Arg_5<=Arg_3 && Arg_4<=Arg_3 && 2<=Arg_3+Arg_6 && 2<=Arg_4 && 0<=Arg_5+Arg_6 && 1<=Arg_0 && Arg_6<=Arg_5 && 1<=Arg_0+Arg_6 && Arg_0<=Arg_4 of depth 1:

new bound:

2*Arg_3*Arg_3+3*Arg_3 {O(n^2)}

MPRF:

eval_realshellsort_bb2_in [Arg_3 ]
n_eval_realshellsort_3___19 [2*Arg_3 ]
n_eval_realshellsort_3___25 [Arg_3 ]
n_eval_realshellsort_bb4_in___24 [Arg_3 ]
n_eval_realshellsort_3___9 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_5___15 [2*Arg_3-Arg_6 ]
n_eval_realshellsort_5___3 [2*Arg_3-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___14 [2*Arg_3-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___2 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb2_in___12 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb2_in___22 [2*Arg_3 ]
eval_realshellsort_bb1_in [Arg_3 ]
n_eval_realshellsort_bb3_in___11 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_2___10 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb3_in___21 [2*Arg_3 ]
n_eval_realshellsort_2___20 [2*Arg_3 ]
n_eval_realshellsort_bb3_in___27 [Arg_3 ]
n_eval_realshellsort_2___26 [Arg_3 ]
n_eval_realshellsort__Pcritedge_in___23 [2*Arg_3 ]
n_eval_realshellsort_bb4_in___18 [2*Arg_3 ]
n_eval_realshellsort__Pcritedge_in___6 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb4_in___8 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb5_in___17 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_4___16 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb5_in___5 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_4___4 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___1 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___13 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb4_in___7 [2*Arg_3-Arg_5 ]

MPRF for transition 183:n_eval_realshellsort__Pcritedge_in___23(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_bb2_in___22(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5+1,Arg_6):|:Arg_6<=Arg_5 && 1+Arg_6<=Arg_4 && 1+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_4 && 1+Arg_5<=Arg_3 && 1+Arg_5<=Arg_0 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 1<=Arg_0+Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && Arg_0<=Arg_3 && 1<=Arg_0 && 1+Arg_5<=Arg_3 && 0<=Arg_5 && Arg_4<=Arg_3 && 1<=Arg_0 && Arg_5<Arg_0 && Arg_0<=Arg_4 && 2<=Arg_4 && Arg_5<=Arg_6 && Arg_6<=Arg_5 && 1+Arg_5<=Arg_3 && Arg_4<=Arg_3 && 2<=Arg_3+Arg_6 && 2<=Arg_4 && 0<=Arg_5+Arg_6 && 1<=Arg_0 && Arg_6<=Arg_5 && 1<=Arg_0+Arg_6 && Arg_0<=Arg_4 of depth 1:

new bound:

Arg_3+1 {O(n)}

MPRF:

eval_realshellsort_bb2_in [2*Arg_0-1 ]
n_eval_realshellsort_3___19 [2*Arg_0-Arg_5-1 ]
n_eval_realshellsort_3___25 [2*Arg_0-1 ]
n_eval_realshellsort_3___9 [Arg_0-1 ]
n_eval_realshellsort_5___15 [Arg_0-1 ]
n_eval_realshellsort_5___3 [Arg_0-1 ]
n_eval_realshellsort__Pcritedge_in___14 [Arg_0-1 ]
n_eval_realshellsort__Pcritedge_in___2 [Arg_0-1 ]
n_eval_realshellsort_bb2_in___12 [Arg_0-1 ]
n_eval_realshellsort_bb2_in___22 [2*Arg_0-Arg_6-2 ]
eval_realshellsort_bb1_in [Arg_4-1 ]
n_eval_realshellsort_bb3_in___11 [Arg_0-1 ]
n_eval_realshellsort_2___10 [Arg_0-1 ]
n_eval_realshellsort_bb3_in___21 [2*Arg_0+Arg_6-2*Arg_5 ]
n_eval_realshellsort_2___20 [2*Arg_0-Arg_5-1 ]
n_eval_realshellsort_bb3_in___27 [2*Arg_0-1 ]
n_eval_realshellsort_2___26 [2*Arg_0-1 ]
n_eval_realshellsort_bb4_in___18 [2*Arg_0-Arg_5-1 ]
n_eval_realshellsort_bb4_in___24 [2*Arg_0-1 ]
n_eval_realshellsort__Pcritedge_in___23 [2*Arg_0-Arg_6-1 ]
n_eval_realshellsort__Pcritedge_in___6 [Arg_0-1 ]
n_eval_realshellsort_bb4_in___8 [Arg_0-1 ]
n_eval_realshellsort_bb5_in___17 [Arg_0-1 ]
n_eval_realshellsort_4___16 [Arg_0-1 ]
n_eval_realshellsort_bb5_in___5 [Arg_0-1 ]
n_eval_realshellsort_4___4 [Arg_0-1 ]
n_eval_realshellsort_bb6_in___1 [Arg_0-1 ]
n_eval_realshellsort_bb6_in___13 [Arg_0-1 ]
n_eval_realshellsort_bb4_in___7 [Arg_0-1 ]

MPRF for transition 184:n_eval_realshellsort__Pcritedge_in___6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_bb2_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5+1,Arg_6):|:1+Arg_6<=Arg_5 && 1+Arg_6<=Arg_4 && 2+Arg_6<=Arg_3 && 1+Arg_6<=Arg_0 && 0<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_5<=Arg_3 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 3<=Arg_3+Arg_5 && 2<=Arg_0+Arg_5 && Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1+Arg_1<=Arg_2 && 1<=Arg_0 && 0<=Arg_6 && 1<=Arg_0 && Arg_4<=Arg_3 && Arg_0<=Arg_4 && Arg_6<Arg_0 && 2<=Arg_4 && 1+Arg_5<=Arg_3 && Arg_0+Arg_6<=Arg_5 && 1+Arg_1<=Arg_2 && 1+Arg_5<=Arg_3 && Arg_4<=Arg_3 && 2<=Arg_3+Arg_6 && 2<=Arg_4 && 0<=Arg_5+Arg_6 && 1<=Arg_0 && Arg_6<=Arg_5 && 1<=Arg_0+Arg_6 && Arg_0<=Arg_4 of depth 1:

new bound:

2*Arg_3*Arg_3+3*Arg_3 {O(n^2)}

MPRF:

eval_realshellsort_bb2_in [Arg_3 ]
n_eval_realshellsort_3___19 [2*Arg_3 ]
n_eval_realshellsort_3___25 [Arg_3 ]
n_eval_realshellsort_bb4_in___24 [Arg_3 ]
n_eval_realshellsort_3___9 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_5___15 [2*Arg_3-Arg_6 ]
n_eval_realshellsort_5___3 [2*Arg_3-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___14 [2*Arg_3-Arg_5 ]
n_eval_realshellsort__Pcritedge_in___2 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb2_in___12 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb2_in___22 [2*Arg_3 ]
eval_realshellsort_bb1_in [Arg_3 ]
n_eval_realshellsort_bb3_in___11 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_2___10 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb3_in___21 [2*Arg_3 ]
n_eval_realshellsort_2___20 [2*Arg_3 ]
n_eval_realshellsort_bb3_in___27 [Arg_3 ]
n_eval_realshellsort_2___26 [Arg_3 ]
n_eval_realshellsort__Pcritedge_in___23 [2*Arg_3 ]
n_eval_realshellsort_bb4_in___18 [2*Arg_3 ]
n_eval_realshellsort__Pcritedge_in___6 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb4_in___8 [2*Arg_3-Arg_6 ]
n_eval_realshellsort_bb5_in___17 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_4___16 [2*Arg_3-Arg_6 ]
n_eval_realshellsort_bb5_in___5 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_4___4 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___1 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb6_in___13 [2*Arg_3-Arg_5 ]
n_eval_realshellsort_bb4_in___7 [2*Arg_3-Arg_5 ]

MPRF for transition 185:n_eval_realshellsort_bb2_in___12(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> n_eval_realshellsort_bb3_in___11(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_6<=Arg_5 && 1+Arg_6<=Arg_3 && 0<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_3 && 2<=Arg_5 && 4<=Arg_4+Arg_5 && 4<=Arg_3+Arg_5 && 3<=Arg_0+Arg_5 && 1+Arg_0<=Arg_5 && Arg_4<=Arg_3 && 2<=Arg_4 && 4<=Arg_3+Arg_4 && 3<=Arg_0+Arg_4 && Arg_0<=Arg_4 && 2<=Arg_3 && 3<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_0 && 1<=Arg_0 && 0<=Arg_5 && Arg_0<=Arg_4 && 2<=Arg_4 && Arg_4<=Arg_3 && Arg_0<=Arg_5 && 2<=Arg_4 && Arg_0<=Arg_4 && 1<=Arg_0+Arg_6 && Arg_5<=Arg_3 && 2<=Arg_3+Arg_6 && Arg_4<=Arg_3 && 1<=Arg_0 && 1<=Arg_5+Arg_6 && 1+Arg_6<=Arg_5 && Arg_5<Arg_3 && Arg_4<=Arg_3 && 2<=Arg_4 && 0<=Arg_5 && 1<=Arg_0 && Arg_0<=Arg_4 of depth 1:

new bound:

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

MPRF:

eval_realshellsort_bb2_in [0 ]
n_eval_realshellsort_3___19 [2*Arg_3 ]
n_eval_realshellsort_3___25 [0 ]
n_eval_realshellsort_bb4_in___24 [0 ]
n_eval_realshellsort_3___9 [2*Arg_3-2*Arg_5-1 ]
n_eval_realshellsort_5___15 [2*Arg_3-2*Arg_5-1 ]
n_eval_realshellsort_5___3 [2*Arg_3-2*Arg_5-1 ]
n_eval_realshellsort__Pcritedge_in___14 [2*Arg_3-2*Arg_6-1 ]
n_eval_realshellsort__Pcritedge_in___2 [2*Arg_3-2*Arg_5-1 ]
n_eval_realshellsort_bb2_in___12 [2*Arg_3+1-2*Arg_5 ]
n_eval_realshellsort_bb2_in___22 [2*Arg_3 ]
eval_realshellsort_bb1_in [0 ]
n_eval_realshellsort_bb3_in___11 [2*Arg_3-2*Arg_5-1 ]
n_eval_realshellsort_2___10 [2*Arg_3-2*Arg_5-1 ]
n_eval_realshellsort_bb3_in___21 [2*Arg_3 ]
n_eval_realshellsort_2___20 [2*Arg_3 ]
n_eval_realshellsort_bb3_in___27 [0 ]
n_eval_realshellsort_2___26 [0 ]
n_eval_realshellsort__Pcritedge_in___23 [2*Arg_3 ]
n_eval_realshellsort_bb4_in___18 [2*Arg_3 ]
n_eval_realshellsort__Pcritedge_in___6 [2*Arg_3-2*Arg_5-1 ]
n_eval_realshellsort_bb4_in___8 [2*Arg_3-2*Arg_6-1 ]
n_eval_realshellsort_bb5_in___17 [2*Arg_3-Arg_5-Arg_6-1 ]
n_eval_realshellsort_4___16 [2*Arg_3-2*Arg_6-1 ]
n_eval_realshellsort_bb5_in___5 [2*Arg_3-2*Arg_5-1 ]
n_eval_realshellsort_4___4 [2*Arg_3-2*Arg_5-1 ]
n_eval_realshellsort_bb6_in___1 [2*Arg_3-2*Arg_5-1 ]
n_eval_realshellsort_bb6_in___13 [2*Arg_3-2*Arg_5-1 ]
n_eval_realshellsort_bb4_in___7 [2*Arg_3-2*Arg_5-1 ]

All Bounds

Timebounds

Overall timebound:9*Arg_3*Arg_3*Arg_3*Arg_3+48*Arg_3*Arg_3*Arg_3+89*Arg_3*Arg_3+73*Arg_3+Arg_6+19 {O(n^4)}
22: eval_realshellsort_.critedge_in->eval_realshellsort_bb2_in: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
12: eval_realshellsort_2->eval_realshellsort_3: Arg_3*Arg_3+3*Arg_3+2 {O(n^2)}
13: eval_realshellsort_3->eval_realshellsort_bb4_in: 2*Arg_3*Arg_3+4*Arg_3 {O(n^2)}
18: eval_realshellsort_4->eval_realshellsort_5: Arg_3*Arg_3*Arg_3*Arg_3+6*Arg_3*Arg_3*Arg_3+11*Arg_3*Arg_3+8*Arg_3+2 {O(n^4)}
19: eval_realshellsort_5->eval_realshellsort_bb6_in: 4*Arg_3*Arg_3*Arg_3*Arg_3+20*Arg_3*Arg_3*Arg_3+32*Arg_3*Arg_3+21*Arg_3+1 {O(n^4)}
20: eval_realshellsort_5->eval_realshellsort_.critedge_in: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
1: eval_realshellsort_bb0_in->eval_realshellsort_bb1_in: 1 {O(1)}
3: eval_realshellsort_bb1_in->eval_realshellsort_bb2_in: Arg_3+1 {O(n)}
5: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in: 1 {O(1)}
6: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in: 1 {O(1)}
7: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in: 1 {O(1)}
8: eval_realshellsort_bb2_in->eval_realshellsort_bb3_in: Arg_3*Arg_3+3*Arg_3+2 {O(n^2)}
9: eval_realshellsort_bb2_in->eval_realshellsort_bb1_in: Arg_3+1 {O(n)}
10: eval_realshellsort_bb3_in->eval_realshellsort_2: Arg_3*Arg_3+3*Arg_3+2 {O(n^2)}
14: eval_realshellsort_bb4_in->eval_realshellsort_bb5_in: Arg_3*Arg_3*Arg_3*Arg_3+5*Arg_3*Arg_3*Arg_3+8*Arg_3*Arg_3+6*Arg_3 {O(n^4)}
15: eval_realshellsort_bb4_in->eval_realshellsort_.critedge_in: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
16: eval_realshellsort_bb5_in->eval_realshellsort_4: Arg_3*Arg_3*Arg_3*Arg_3+5*Arg_3*Arg_3*Arg_3+8*Arg_3*Arg_3+5*Arg_3 {O(n^4)}
21: eval_realshellsort_bb6_in->eval_realshellsort_bb4_in: 2*Arg_3*Arg_3*Arg_3*Arg_3+12*Arg_3*Arg_3*Arg_3+22*Arg_3*Arg_3+12*Arg_3+Arg_6+2 {O(n^4)}
23: eval_realshellsort_bb7_in->eval_realshellsort_stop: 1 {O(1)}
0: eval_realshellsort_start->eval_realshellsort_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 9*Arg_3*Arg_3*Arg_3*Arg_3+48*Arg_3*Arg_3*Arg_3+89*Arg_3*Arg_3+73*Arg_3+Arg_6+19 {O(n^4)}
22: eval_realshellsort_.critedge_in->eval_realshellsort_bb2_in: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
12: eval_realshellsort_2->eval_realshellsort_3: Arg_3*Arg_3+3*Arg_3+2 {O(n^2)}
13: eval_realshellsort_3->eval_realshellsort_bb4_in: 2*Arg_3*Arg_3+4*Arg_3 {O(n^2)}
18: eval_realshellsort_4->eval_realshellsort_5: Arg_3*Arg_3*Arg_3*Arg_3+6*Arg_3*Arg_3*Arg_3+11*Arg_3*Arg_3+8*Arg_3+2 {O(n^4)}
19: eval_realshellsort_5->eval_realshellsort_bb6_in: 4*Arg_3*Arg_3*Arg_3*Arg_3+20*Arg_3*Arg_3*Arg_3+32*Arg_3*Arg_3+21*Arg_3+1 {O(n^4)}
20: eval_realshellsort_5->eval_realshellsort_.critedge_in: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
1: eval_realshellsort_bb0_in->eval_realshellsort_bb1_in: 1 {O(1)}
3: eval_realshellsort_bb1_in->eval_realshellsort_bb2_in: Arg_3+1 {O(n)}
5: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in: 1 {O(1)}
6: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in: 1 {O(1)}
7: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in: 1 {O(1)}
8: eval_realshellsort_bb2_in->eval_realshellsort_bb3_in: Arg_3*Arg_3+3*Arg_3+2 {O(n^2)}
9: eval_realshellsort_bb2_in->eval_realshellsort_bb1_in: Arg_3+1 {O(n)}
10: eval_realshellsort_bb3_in->eval_realshellsort_2: Arg_3*Arg_3+3*Arg_3+2 {O(n^2)}
14: eval_realshellsort_bb4_in->eval_realshellsort_bb5_in: Arg_3*Arg_3*Arg_3*Arg_3+5*Arg_3*Arg_3*Arg_3+8*Arg_3*Arg_3+6*Arg_3 {O(n^4)}
15: eval_realshellsort_bb4_in->eval_realshellsort_.critedge_in: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
16: eval_realshellsort_bb5_in->eval_realshellsort_4: Arg_3*Arg_3*Arg_3*Arg_3+5*Arg_3*Arg_3*Arg_3+8*Arg_3*Arg_3+5*Arg_3 {O(n^4)}
21: eval_realshellsort_bb6_in->eval_realshellsort_bb4_in: 2*Arg_3*Arg_3*Arg_3*Arg_3+12*Arg_3*Arg_3*Arg_3+22*Arg_3*Arg_3+12*Arg_3+Arg_6+2 {O(n^4)}
23: eval_realshellsort_bb7_in->eval_realshellsort_stop: 1 {O(1)}
0: eval_realshellsort_start->eval_realshellsort_bb0_in: 1 {O(1)}

Sizebounds

22: eval_realshellsort_.critedge_in->eval_realshellsort_bb2_in, Arg_3: Arg_3 {O(n)}
22: eval_realshellsort_.critedge_in->eval_realshellsort_bb2_in, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
22: eval_realshellsort_.critedge_in->eval_realshellsort_bb2_in, Arg_6: 3*Arg_3*Arg_3+6*Arg_3 {O(n^2)}
12: eval_realshellsort_2->eval_realshellsort_3, Arg_3: Arg_3 {O(n)}
12: eval_realshellsort_2->eval_realshellsort_3, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
12: eval_realshellsort_2->eval_realshellsort_3, Arg_6: 6*Arg_3*Arg_3+12*Arg_3+Arg_6 {O(n^2)}
13: eval_realshellsort_3->eval_realshellsort_bb4_in, Arg_3: Arg_3 {O(n)}
13: eval_realshellsort_3->eval_realshellsort_bb4_in, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
13: eval_realshellsort_3->eval_realshellsort_bb4_in, Arg_6: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
18: eval_realshellsort_4->eval_realshellsort_5, Arg_3: Arg_3 {O(n)}
18: eval_realshellsort_4->eval_realshellsort_5, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
18: eval_realshellsort_4->eval_realshellsort_5, Arg_6: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
19: eval_realshellsort_5->eval_realshellsort_bb6_in, Arg_3: Arg_3 {O(n)}
19: eval_realshellsort_5->eval_realshellsort_bb6_in, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
19: eval_realshellsort_5->eval_realshellsort_bb6_in, Arg_6: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
20: eval_realshellsort_5->eval_realshellsort_.critedge_in, Arg_3: Arg_3 {O(n)}
20: eval_realshellsort_5->eval_realshellsort_.critedge_in, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
20: eval_realshellsort_5->eval_realshellsort_.critedge_in, Arg_6: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
1: eval_realshellsort_bb0_in->eval_realshellsort_bb1_in, Arg_0: Arg_0 {O(n)}
1: eval_realshellsort_bb0_in->eval_realshellsort_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_realshellsort_bb0_in->eval_realshellsort_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_realshellsort_bb0_in->eval_realshellsort_bb1_in, Arg_3: Arg_3 {O(n)}
1: eval_realshellsort_bb0_in->eval_realshellsort_bb1_in, Arg_4: Arg_3 {O(n)}
1: eval_realshellsort_bb0_in->eval_realshellsort_bb1_in, Arg_5: Arg_5 {O(n)}
1: eval_realshellsort_bb0_in->eval_realshellsort_bb1_in, Arg_6: Arg_6 {O(n)}
3: eval_realshellsort_bb1_in->eval_realshellsort_bb2_in, Arg_3: Arg_3 {O(n)}
3: eval_realshellsort_bb1_in->eval_realshellsort_bb2_in, Arg_5: 0 {O(1)}
3: eval_realshellsort_bb1_in->eval_realshellsort_bb2_in, Arg_6: 3*Arg_3*Arg_3+6*Arg_3+Arg_6 {O(n^2)}
5: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_0: Arg_0 {O(n)}
5: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_1: Arg_1 {O(n)}
5: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_2: Arg_2 {O(n)}
5: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_3: Arg_3 {O(n)}
5: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_4: 0 {O(1)}
5: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_5: Arg_5 {O(n)}
5: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_6: Arg_6 {O(n)}
6: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_3: 2*Arg_3 {O(n)}
6: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_4: 1 {O(1)}
6: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_5: Arg_3*Arg_3+2*Arg_3+Arg_5 {O(n^2)}
6: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_6: 3*Arg_3*Arg_3+6*Arg_3+Arg_6 {O(n^2)}
7: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_0: Arg_0 {O(n)}
7: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_1: Arg_1 {O(n)}
7: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_2: Arg_2 {O(n)}
7: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_3: Arg_3 {O(n)}
7: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_4: Arg_3 {O(n)}
7: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_5: Arg_5 {O(n)}
7: eval_realshellsort_bb1_in->eval_realshellsort_bb7_in, Arg_6: Arg_6 {O(n)}
8: eval_realshellsort_bb2_in->eval_realshellsort_bb3_in, Arg_3: Arg_3 {O(n)}
8: eval_realshellsort_bb2_in->eval_realshellsort_bb3_in, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
8: eval_realshellsort_bb2_in->eval_realshellsort_bb3_in, Arg_6: 6*Arg_3*Arg_3+12*Arg_3+Arg_6 {O(n^2)}
9: eval_realshellsort_bb2_in->eval_realshellsort_bb1_in, Arg_3: Arg_3 {O(n)}
9: eval_realshellsort_bb2_in->eval_realshellsort_bb1_in, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
9: eval_realshellsort_bb2_in->eval_realshellsort_bb1_in, Arg_6: 3*Arg_3*Arg_3+6*Arg_3 {O(n^2)}
10: eval_realshellsort_bb3_in->eval_realshellsort_2, Arg_3: Arg_3 {O(n)}
10: eval_realshellsort_bb3_in->eval_realshellsort_2, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
10: eval_realshellsort_bb3_in->eval_realshellsort_2, Arg_6: 6*Arg_3*Arg_3+12*Arg_3+Arg_6 {O(n^2)}
14: eval_realshellsort_bb4_in->eval_realshellsort_bb5_in, Arg_3: Arg_3 {O(n)}
14: eval_realshellsort_bb4_in->eval_realshellsort_bb5_in, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
14: eval_realshellsort_bb4_in->eval_realshellsort_bb5_in, Arg_6: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
15: eval_realshellsort_bb4_in->eval_realshellsort_.critedge_in, Arg_3: Arg_3 {O(n)}
15: eval_realshellsort_bb4_in->eval_realshellsort_.critedge_in, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
15: eval_realshellsort_bb4_in->eval_realshellsort_.critedge_in, Arg_6: 2*Arg_3*Arg_3+4*Arg_3 {O(n^2)}
16: eval_realshellsort_bb5_in->eval_realshellsort_4, Arg_3: Arg_3 {O(n)}
16: eval_realshellsort_bb5_in->eval_realshellsort_4, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
16: eval_realshellsort_bb5_in->eval_realshellsort_4, Arg_6: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
21: eval_realshellsort_bb6_in->eval_realshellsort_bb4_in, Arg_3: Arg_3 {O(n)}
21: eval_realshellsort_bb6_in->eval_realshellsort_bb4_in, Arg_5: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
21: eval_realshellsort_bb6_in->eval_realshellsort_bb4_in, Arg_6: Arg_3*Arg_3+2*Arg_3 {O(n^2)}
23: eval_realshellsort_bb7_in->eval_realshellsort_stop, Arg_3: 4*Arg_3 {O(n)}
23: eval_realshellsort_bb7_in->eval_realshellsort_stop, Arg_4: Arg_3+1 {O(n)}
23: eval_realshellsort_bb7_in->eval_realshellsort_stop, Arg_5: Arg_3*Arg_3+2*Arg_3+3*Arg_5 {O(n^2)}
23: eval_realshellsort_bb7_in->eval_realshellsort_stop, Arg_6: 3*Arg_3*Arg_3+3*Arg_6+6*Arg_3 {O(n^2)}
0: eval_realshellsort_start->eval_realshellsort_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_realshellsort_start->eval_realshellsort_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_realshellsort_start->eval_realshellsort_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_realshellsort_start->eval_realshellsort_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_realshellsort_start->eval_realshellsort_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_realshellsort_start->eval_realshellsort_bb0_in, Arg_5: Arg_5 {O(n)}
0: eval_realshellsort_start->eval_realshellsort_bb0_in, Arg_6: Arg_6 {O(n)}