Initial Problem

Start: eval_realbubble_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0, nondef.1
Locations: eval_realbubble_2, eval_realbubble_3, eval_realbubble_4, eval_realbubble_5, eval_realbubble_6, eval_realbubble_bb0_in, eval_realbubble_bb1_in, eval_realbubble_bb2_in, eval_realbubble_bb3_in, eval_realbubble_bb4_in, eval_realbubble_bb5_in, eval_realbubble_bb6_in, eval_realbubble_bb7_in, eval_realbubble_bb8_in, eval_realbubble_start, eval_realbubble_stop
Transitions:
8:eval_realbubble_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_3(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
10:eval_realbubble_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_4(Arg_0,nondef.1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
11:eval_realbubble_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_1<Arg_0
12:eval_realbubble_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5):|:Arg_0<=Arg_1
15:eval_realbubble_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
16:eval_realbubble_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,1)
1:eval_realbubble_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb1_in(Arg_0,Arg_1,Arg_4-1,Arg_3,Arg_4,Arg_5,Arg_6)
2:eval_realbubble_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,0,Arg_4,0,Arg_6):|:0<Arg_2
3:eval_realbubble_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=0
4:eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_3<Arg_2
5:eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_2<=Arg_3
6:eval_realbubble_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
13:eval_realbubble_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
17:eval_realbubble_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,Arg_6,Arg_6)
19:eval_realbubble_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<0
20:eval_realbubble_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_5
18:eval_realbubble_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=0 && 0<=Arg_5
21:eval_realbubble_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb1_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6)
22:eval_realbubble_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
0:eval_realbubble_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

Preprocessing

Found invariant Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 3<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_2 for location eval_realbubble_bb6_in

Found invariant Arg_6<=1 && Arg_6<=1+Arg_5 && Arg_5+Arg_6<=2 && 1+Arg_6<=Arg_4 && Arg_6<=1+Arg_3 && Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 2<=Arg_4+Arg_6 && 0<=Arg_3+Arg_6 && 1<=Arg_2+Arg_6 && Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 for location eval_realbubble_bb5_in

Found invariant Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_0 for location eval_realbubble_5

Found invariant 1+Arg_2<=Arg_4 for location eval_realbubble_bb8_in

Found invariant Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 for location eval_realbubble_4

Found invariant Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 for location eval_realbubble_3

Found invariant Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 for location eval_realbubble_bb3_in

Found invariant Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_0 for location eval_realbubble_6

Found invariant 1+Arg_2<=Arg_4 for location eval_realbubble_stop

Found invariant Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_4 && 3<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_2 for location eval_realbubble_bb7_in

Found invariant 1+Arg_2<=Arg_4 for location eval_realbubble_bb1_in

Found invariant Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 for location eval_realbubble_bb2_in

Found invariant Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_0 for location eval_realbubble_bb4_in

Found invariant Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 for location eval_realbubble_2

Cut unsatisfiable transition 19: eval_realbubble_bb6_in->eval_realbubble_bb7_in

Problem after Preprocessing

Start: eval_realbubble_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0, nondef.1
Locations: eval_realbubble_2, eval_realbubble_3, eval_realbubble_4, eval_realbubble_5, eval_realbubble_6, eval_realbubble_bb0_in, eval_realbubble_bb1_in, eval_realbubble_bb2_in, eval_realbubble_bb3_in, eval_realbubble_bb4_in, eval_realbubble_bb5_in, eval_realbubble_bb6_in, eval_realbubble_bb7_in, eval_realbubble_bb8_in, eval_realbubble_start, eval_realbubble_stop
Transitions:
8:eval_realbubble_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_3(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2
10:eval_realbubble_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_4(Arg_0,nondef.1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2
11:eval_realbubble_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && Arg_1<Arg_0
12:eval_realbubble_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && Arg_0<=Arg_1
15:eval_realbubble_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_0
16:eval_realbubble_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,1):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_0
1:eval_realbubble_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb1_in(Arg_0,Arg_1,Arg_4-1,Arg_3,Arg_4,Arg_5,Arg_6)
2:eval_realbubble_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,0,Arg_4,0,Arg_6):|:1+Arg_2<=Arg_4 && 0<Arg_2
3:eval_realbubble_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_2<=Arg_4 && Arg_2<=0
4:eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && Arg_3<Arg_2
5:eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && Arg_2<=Arg_3
6:eval_realbubble_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2
13:eval_realbubble_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_0
17:eval_realbubble_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,Arg_6,Arg_6):|:Arg_6<=1 && Arg_6<=1+Arg_5 && Arg_5+Arg_6<=2 && 1+Arg_6<=Arg_4 && Arg_6<=1+Arg_3 && Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 2<=Arg_4+Arg_6 && 0<=Arg_3+Arg_6 && 1<=Arg_2+Arg_6 && Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2
20:eval_realbubble_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 3<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_2 && 0<Arg_5
18:eval_realbubble_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 3<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_2 && Arg_5<=0 && 0<=Arg_5
21:eval_realbubble_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb1_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_4 && 3<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_2
22:eval_realbubble_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:1+Arg_2<=Arg_4
0:eval_realbubble_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)

MPRF for transition 2:eval_realbubble_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,0,Arg_4,0,Arg_6):|:1+Arg_2<=Arg_4 && 0<Arg_2 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

eval_realbubble_3 [Arg_2-1 ]
eval_realbubble_4 [Arg_2-1 ]
eval_realbubble_6 [Arg_2-1 ]
eval_realbubble_bb3_in [Arg_2-1 ]
eval_realbubble_2 [Arg_2-1 ]
eval_realbubble_bb4_in [Arg_2-1 ]
eval_realbubble_5 [Arg_2-1 ]
eval_realbubble_bb5_in [Arg_2-1 ]
eval_realbubble_bb2_in [Arg_2-1 ]
eval_realbubble_bb6_in [Arg_2-1 ]
eval_realbubble_bb7_in [Arg_2-1 ]
eval_realbubble_bb1_in [Arg_2 ]

MPRF for transition 5:eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && Arg_2<=Arg_3 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

eval_realbubble_3 [Arg_2 ]
eval_realbubble_4 [Arg_2 ]
eval_realbubble_6 [Arg_2 ]
eval_realbubble_bb3_in [Arg_2 ]
eval_realbubble_2 [Arg_2 ]
eval_realbubble_bb4_in [Arg_2 ]
eval_realbubble_5 [Arg_2 ]
eval_realbubble_bb5_in [Arg_2 ]
eval_realbubble_bb2_in [Arg_2 ]
eval_realbubble_bb6_in [Arg_3-1 ]
eval_realbubble_bb7_in [Arg_2-1 ]
eval_realbubble_bb1_in [Arg_2 ]

MPRF for transition 20:eval_realbubble_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 3<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_2 && 0<Arg_5 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

eval_realbubble_3 [Arg_2 ]
eval_realbubble_4 [Arg_2 ]
eval_realbubble_6 [Arg_2 ]
eval_realbubble_bb3_in [Arg_2 ]
eval_realbubble_2 [Arg_2 ]
eval_realbubble_bb4_in [Arg_2 ]
eval_realbubble_5 [Arg_2 ]
eval_realbubble_bb5_in [Arg_2 ]
eval_realbubble_bb2_in [Arg_2 ]
eval_realbubble_bb6_in [Arg_2 ]
eval_realbubble_bb7_in [Arg_3-1 ]
eval_realbubble_bb1_in [Arg_2 ]

MPRF for transition 21:eval_realbubble_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb1_in(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 1<=Arg_5 && 3<=Arg_4+Arg_5 && 2<=Arg_3+Arg_5 && 2<=Arg_2+Arg_5 && 2<=Arg_4 && 3<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_2 of depth 1:

new bound:

Arg_4+1 {O(n)}

MPRF:

eval_realbubble_3 [Arg_2 ]
eval_realbubble_4 [Arg_2 ]
eval_realbubble_6 [Arg_2 ]
eval_realbubble_bb3_in [Arg_2 ]
eval_realbubble_2 [Arg_2 ]
eval_realbubble_bb4_in [Arg_2 ]
eval_realbubble_5 [Arg_2 ]
eval_realbubble_bb5_in [Arg_2 ]
eval_realbubble_bb2_in [Arg_2 ]
eval_realbubble_bb6_in [Arg_2 ]
eval_realbubble_bb7_in [Arg_3 ]
eval_realbubble_bb1_in [Arg_2 ]

MPRF for transition 8:eval_realbubble_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_3(nondef.0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 of depth 1:

new bound:

3*Arg_4*Arg_4+7*Arg_4+2 {O(n^2)}

MPRF:

eval_realbubble_3 [Arg_4-Arg_3 ]
eval_realbubble_4 [Arg_4-Arg_3 ]
eval_realbubble_6 [Arg_4-Arg_3 ]
eval_realbubble_bb1_in [2*Arg_4-Arg_2 ]
eval_realbubble_bb3_in [Arg_4+1-Arg_3 ]
eval_realbubble_2 [Arg_4+1-Arg_3 ]
eval_realbubble_bb4_in [Arg_4-Arg_3 ]
eval_realbubble_5 [Arg_4-Arg_3 ]
eval_realbubble_bb5_in [Arg_4-Arg_3 ]
eval_realbubble_bb2_in [Arg_4+1-Arg_3 ]
eval_realbubble_bb6_in [Arg_4-Arg_3 ]
eval_realbubble_bb7_in [Arg_4-Arg_3 ]

MPRF for transition 10:eval_realbubble_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_4(Arg_0,nondef.1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 of depth 1:

new bound:

Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}

MPRF:

eval_realbubble_3 [Arg_2-Arg_3 ]
eval_realbubble_4 [Arg_2-Arg_3-1 ]
eval_realbubble_6 [Arg_2-Arg_3-1 ]
eval_realbubble_bb1_in [Arg_2 ]
eval_realbubble_bb3_in [Arg_2-Arg_3 ]
eval_realbubble_2 [Arg_2-Arg_3 ]
eval_realbubble_bb4_in [Arg_2-Arg_3-1 ]
eval_realbubble_5 [Arg_2-Arg_3-1 ]
eval_realbubble_bb5_in [Arg_2-Arg_3-1 ]
eval_realbubble_bb2_in [Arg_2-Arg_3 ]
eval_realbubble_bb6_in [0 ]
eval_realbubble_bb7_in [Arg_2-Arg_3 ]

MPRF for transition 11:eval_realbubble_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && Arg_1<Arg_0 of depth 1:

new bound:

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

MPRF:

eval_realbubble_3 [Arg_2+1-Arg_3 ]
eval_realbubble_4 [Arg_2+1-Arg_3 ]
eval_realbubble_6 [Arg_2-Arg_3 ]
eval_realbubble_bb1_in [Arg_2+1 ]
eval_realbubble_bb3_in [Arg_2+1-Arg_3 ]
eval_realbubble_2 [Arg_2+1-Arg_3 ]
eval_realbubble_bb4_in [Arg_2-Arg_3 ]
eval_realbubble_5 [Arg_2-Arg_3 ]
eval_realbubble_bb5_in [Arg_2-Arg_3 ]
eval_realbubble_bb2_in [Arg_2+1-Arg_3 ]
eval_realbubble_bb6_in [0 ]
eval_realbubble_bb7_in [0 ]

MPRF for transition 12:eval_realbubble_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && Arg_0<=Arg_1 of depth 1:

new bound:

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

MPRF:

eval_realbubble_3 [Arg_2+1-Arg_3 ]
eval_realbubble_4 [Arg_2+1-Arg_3 ]
eval_realbubble_6 [Arg_2-Arg_3 ]
eval_realbubble_bb1_in [Arg_4 ]
eval_realbubble_bb3_in [Arg_2+1-Arg_3 ]
eval_realbubble_2 [Arg_2+1-Arg_3 ]
eval_realbubble_bb4_in [Arg_2-Arg_3 ]
eval_realbubble_5 [Arg_2-Arg_3 ]
eval_realbubble_bb5_in [Arg_2-Arg_3 ]
eval_realbubble_bb2_in [Arg_2+1-Arg_3 ]
eval_realbubble_bb6_in [0 ]
eval_realbubble_bb7_in [Arg_2-Arg_3 ]

MPRF for transition 15:eval_realbubble_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_0 of depth 1:

new bound:

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

MPRF:

eval_realbubble_3 [Arg_4-Arg_3 ]
eval_realbubble_4 [Arg_4-Arg_3 ]
eval_realbubble_6 [Arg_4-Arg_3-1 ]
eval_realbubble_bb1_in [Arg_4 ]
eval_realbubble_bb3_in [Arg_4-Arg_3 ]
eval_realbubble_2 [Arg_4-Arg_3 ]
eval_realbubble_bb4_in [Arg_4-Arg_3 ]
eval_realbubble_5 [Arg_4-Arg_3 ]
eval_realbubble_bb5_in [Arg_4-Arg_3-1 ]
eval_realbubble_bb2_in [Arg_4-Arg_3 ]
eval_realbubble_bb6_in [Arg_4-Arg_3 ]
eval_realbubble_bb7_in [Arg_4-Arg_3 ]

MPRF for transition 16:eval_realbubble_6(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,1):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_0 of depth 1:

new bound:

2*Arg_4*Arg_4+6*Arg_4+4 {O(n^2)}

MPRF:

eval_realbubble_3 [2*Arg_2-Arg_3 ]
eval_realbubble_4 [2*Arg_2-Arg_3 ]
eval_realbubble_6 [2*Arg_2-Arg_3 ]
eval_realbubble_bb1_in [2*Arg_2 ]
eval_realbubble_bb3_in [2*Arg_2-Arg_3 ]
eval_realbubble_2 [2*Arg_2-Arg_3 ]
eval_realbubble_bb4_in [2*Arg_2-Arg_3 ]
eval_realbubble_5 [2*Arg_2-Arg_3 ]
eval_realbubble_bb5_in [2*Arg_2-Arg_3-1 ]
eval_realbubble_bb2_in [2*Arg_2-Arg_3 ]
eval_realbubble_bb6_in [2*Arg_2-Arg_3 ]
eval_realbubble_bb7_in [Arg_2 ]

MPRF for transition 4:eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 1+Arg_5<=Arg_4 && Arg_5<=Arg_3 && Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 1+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && Arg_3<Arg_2 of depth 1:

new bound:

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

MPRF:

eval_realbubble_3 [Arg_2-Arg_3 ]
eval_realbubble_4 [Arg_2-Arg_3 ]
eval_realbubble_6 [Arg_2-Arg_3 ]
eval_realbubble_bb1_in [Arg_2+1 ]
eval_realbubble_bb3_in [Arg_2-Arg_3 ]
eval_realbubble_2 [Arg_2-Arg_3 ]
eval_realbubble_bb4_in [Arg_2-Arg_3 ]
eval_realbubble_5 [Arg_2-Arg_3 ]
eval_realbubble_bb5_in [Arg_2-Arg_3 ]
eval_realbubble_bb2_in [Arg_2+1-Arg_3 ]
eval_realbubble_bb6_in [Arg_2-Arg_3 ]
eval_realbubble_bb7_in [Arg_2-Arg_3 ]

MPRF for transition 6:eval_realbubble_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 of depth 1:

new bound:

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

MPRF:

eval_realbubble_3 [Arg_2-Arg_3 ]
eval_realbubble_4 [Arg_2-Arg_3 ]
eval_realbubble_6 [Arg_2-Arg_3 ]
eval_realbubble_bb1_in [Arg_2+1 ]
eval_realbubble_bb3_in [Arg_2+1-Arg_3 ]
eval_realbubble_2 [Arg_2-Arg_3 ]
eval_realbubble_bb4_in [Arg_2-Arg_3 ]
eval_realbubble_5 [Arg_2-Arg_3 ]
eval_realbubble_bb5_in [Arg_2-Arg_3 ]
eval_realbubble_bb2_in [Arg_2+1-Arg_3 ]
eval_realbubble_bb6_in [0 ]
eval_realbubble_bb7_in [0 ]

MPRF for transition 13:eval_realbubble_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 && 1+Arg_1<=Arg_0 of depth 1:

new bound:

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

MPRF:

eval_realbubble_3 [Arg_4-Arg_3-1 ]
eval_realbubble_4 [Arg_4-Arg_3-1 ]
eval_realbubble_6 [Arg_4-Arg_3-2 ]
eval_realbubble_bb1_in [Arg_4 ]
eval_realbubble_bb3_in [Arg_4-Arg_3-1 ]
eval_realbubble_2 [Arg_4-Arg_3-1 ]
eval_realbubble_bb4_in [Arg_4-Arg_3-1 ]
eval_realbubble_5 [Arg_4-Arg_3-2 ]
eval_realbubble_bb5_in [Arg_4-Arg_3-2 ]
eval_realbubble_bb2_in [Arg_4-Arg_3-1 ]
eval_realbubble_bb6_in [Arg_4-Arg_3-1 ]
eval_realbubble_bb7_in [Arg_4-Arg_3-1 ]

MPRF for transition 17:eval_realbubble_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_realbubble_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4,Arg_6,Arg_6):|:Arg_6<=1 && Arg_6<=1+Arg_5 && Arg_5+Arg_6<=2 && 1+Arg_6<=Arg_4 && Arg_6<=1+Arg_3 && Arg_6<=Arg_2 && 0<=Arg_6 && 0<=Arg_5+Arg_6 && Arg_5<=Arg_6 && 2<=Arg_4+Arg_6 && 0<=Arg_3+Arg_6 && 1<=Arg_2+Arg_6 && Arg_5<=1 && 2+Arg_5<=Arg_4 && Arg_5<=Arg_3 && 1+Arg_5<=Arg_2 && 0<=Arg_5 && 2<=Arg_4+Arg_5 && 0<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 2<=Arg_4 && 2<=Arg_3+Arg_4 && 2+Arg_3<=Arg_4 && 3<=Arg_2+Arg_4 && 1+Arg_2<=Arg_4 && 1+Arg_3<=Arg_2 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 1<=Arg_2 of depth 1:

new bound:

Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}

MPRF:

eval_realbubble_3 [Arg_2-Arg_3 ]
eval_realbubble_4 [Arg_2-Arg_3 ]
eval_realbubble_6 [Arg_2-Arg_3 ]
eval_realbubble_bb1_in [Arg_2 ]
eval_realbubble_bb3_in [Arg_2-Arg_3 ]
eval_realbubble_2 [Arg_2-Arg_3 ]
eval_realbubble_bb4_in [Arg_2-Arg_3 ]
eval_realbubble_5 [Arg_2-Arg_3 ]
eval_realbubble_bb5_in [Arg_2-Arg_3 ]
eval_realbubble_bb2_in [Arg_2-Arg_3 ]
eval_realbubble_bb6_in [Arg_2-Arg_3 ]
eval_realbubble_bb7_in [Arg_2-Arg_3 ]

All Bounds

Timebounds

Overall timebound:13*Arg_4*Arg_4+41*Arg_4+31 {O(n^2)}
8: eval_realbubble_2->eval_realbubble_3: 3*Arg_4*Arg_4+7*Arg_4+2 {O(n^2)}
10: eval_realbubble_3->eval_realbubble_4: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
11: eval_realbubble_4->eval_realbubble_bb4_in: Arg_4*Arg_4+4*Arg_4+4 {O(n^2)}
12: eval_realbubble_4->eval_realbubble_bb5_in: Arg_4*Arg_4+2*Arg_4 {O(n^2)}
15: eval_realbubble_5->eval_realbubble_6: Arg_4*Arg_4+2*Arg_4 {O(n^2)}
16: eval_realbubble_6->eval_realbubble_bb5_in: 2*Arg_4*Arg_4+6*Arg_4+4 {O(n^2)}
1: eval_realbubble_bb0_in->eval_realbubble_bb1_in: 1 {O(1)}
2: eval_realbubble_bb1_in->eval_realbubble_bb2_in: Arg_4+1 {O(n)}
3: eval_realbubble_bb1_in->eval_realbubble_bb8_in: 1 {O(1)}
4: eval_realbubble_bb2_in->eval_realbubble_bb3_in: Arg_4*Arg_4+4*Arg_4+4 {O(n^2)}
5: eval_realbubble_bb2_in->eval_realbubble_bb6_in: Arg_4+1 {O(n)}
6: eval_realbubble_bb3_in->eval_realbubble_2: Arg_4*Arg_4+4*Arg_4+4 {O(n^2)}
13: eval_realbubble_bb4_in->eval_realbubble_5: Arg_4*Arg_4+2*Arg_4 {O(n^2)}
17: eval_realbubble_bb5_in->eval_realbubble_bb2_in: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
18: eval_realbubble_bb6_in->eval_realbubble_bb8_in: 1 {O(1)}
20: eval_realbubble_bb6_in->eval_realbubble_bb7_in: Arg_4+1 {O(n)}
21: eval_realbubble_bb7_in->eval_realbubble_bb1_in: Arg_4+1 {O(n)}
22: eval_realbubble_bb8_in->eval_realbubble_stop: 1 {O(1)}
0: eval_realbubble_start->eval_realbubble_bb0_in: 1 {O(1)}

Costbounds

Overall costbound: 13*Arg_4*Arg_4+41*Arg_4+31 {O(n^2)}
8: eval_realbubble_2->eval_realbubble_3: 3*Arg_4*Arg_4+7*Arg_4+2 {O(n^2)}
10: eval_realbubble_3->eval_realbubble_4: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
11: eval_realbubble_4->eval_realbubble_bb4_in: Arg_4*Arg_4+4*Arg_4+4 {O(n^2)}
12: eval_realbubble_4->eval_realbubble_bb5_in: Arg_4*Arg_4+2*Arg_4 {O(n^2)}
15: eval_realbubble_5->eval_realbubble_6: Arg_4*Arg_4+2*Arg_4 {O(n^2)}
16: eval_realbubble_6->eval_realbubble_bb5_in: 2*Arg_4*Arg_4+6*Arg_4+4 {O(n^2)}
1: eval_realbubble_bb0_in->eval_realbubble_bb1_in: 1 {O(1)}
2: eval_realbubble_bb1_in->eval_realbubble_bb2_in: Arg_4+1 {O(n)}
3: eval_realbubble_bb1_in->eval_realbubble_bb8_in: 1 {O(1)}
4: eval_realbubble_bb2_in->eval_realbubble_bb3_in: Arg_4*Arg_4+4*Arg_4+4 {O(n^2)}
5: eval_realbubble_bb2_in->eval_realbubble_bb6_in: Arg_4+1 {O(n)}
6: eval_realbubble_bb3_in->eval_realbubble_2: Arg_4*Arg_4+4*Arg_4+4 {O(n^2)}
13: eval_realbubble_bb4_in->eval_realbubble_5: Arg_4*Arg_4+2*Arg_4 {O(n^2)}
17: eval_realbubble_bb5_in->eval_realbubble_bb2_in: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
18: eval_realbubble_bb6_in->eval_realbubble_bb8_in: 1 {O(1)}
20: eval_realbubble_bb6_in->eval_realbubble_bb7_in: Arg_4+1 {O(n)}
21: eval_realbubble_bb7_in->eval_realbubble_bb1_in: Arg_4+1 {O(n)}
22: eval_realbubble_bb8_in->eval_realbubble_stop: 1 {O(1)}
0: eval_realbubble_start->eval_realbubble_bb0_in: 1 {O(1)}

Sizebounds

8: eval_realbubble_2->eval_realbubble_3, Arg_2: Arg_4+1 {O(n)}
8: eval_realbubble_2->eval_realbubble_3, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
8: eval_realbubble_2->eval_realbubble_3, Arg_4: Arg_4 {O(n)}
8: eval_realbubble_2->eval_realbubble_3, Arg_5: 1 {O(1)}
8: eval_realbubble_2->eval_realbubble_3, Arg_6: Arg_6+2 {O(n)}
10: eval_realbubble_3->eval_realbubble_4, Arg_2: Arg_4+1 {O(n)}
10: eval_realbubble_3->eval_realbubble_4, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
10: eval_realbubble_3->eval_realbubble_4, Arg_4: Arg_4 {O(n)}
10: eval_realbubble_3->eval_realbubble_4, Arg_5: 1 {O(1)}
10: eval_realbubble_3->eval_realbubble_4, Arg_6: Arg_6+2 {O(n)}
11: eval_realbubble_4->eval_realbubble_bb4_in, Arg_2: Arg_4+1 {O(n)}
11: eval_realbubble_4->eval_realbubble_bb4_in, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
11: eval_realbubble_4->eval_realbubble_bb4_in, Arg_4: Arg_4 {O(n)}
11: eval_realbubble_4->eval_realbubble_bb4_in, Arg_5: 1 {O(1)}
11: eval_realbubble_4->eval_realbubble_bb4_in, Arg_6: Arg_6+2 {O(n)}
12: eval_realbubble_4->eval_realbubble_bb5_in, Arg_2: Arg_4+1 {O(n)}
12: eval_realbubble_4->eval_realbubble_bb5_in, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
12: eval_realbubble_4->eval_realbubble_bb5_in, Arg_4: Arg_4 {O(n)}
12: eval_realbubble_4->eval_realbubble_bb5_in, Arg_5: 1 {O(1)}
12: eval_realbubble_4->eval_realbubble_bb5_in, Arg_6: 1 {O(1)}
15: eval_realbubble_5->eval_realbubble_6, Arg_2: Arg_4+1 {O(n)}
15: eval_realbubble_5->eval_realbubble_6, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
15: eval_realbubble_5->eval_realbubble_6, Arg_4: Arg_4 {O(n)}
15: eval_realbubble_5->eval_realbubble_6, Arg_5: 1 {O(1)}
15: eval_realbubble_5->eval_realbubble_6, Arg_6: Arg_6+2 {O(n)}
16: eval_realbubble_6->eval_realbubble_bb5_in, Arg_2: Arg_4+1 {O(n)}
16: eval_realbubble_6->eval_realbubble_bb5_in, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
16: eval_realbubble_6->eval_realbubble_bb5_in, Arg_4: Arg_4 {O(n)}
16: eval_realbubble_6->eval_realbubble_bb5_in, Arg_5: 1 {O(1)}
16: eval_realbubble_6->eval_realbubble_bb5_in, Arg_6: 1 {O(1)}
1: eval_realbubble_bb0_in->eval_realbubble_bb1_in, Arg_0: Arg_0 {O(n)}
1: eval_realbubble_bb0_in->eval_realbubble_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_realbubble_bb0_in->eval_realbubble_bb1_in, Arg_2: Arg_4+1 {O(n)}
1: eval_realbubble_bb0_in->eval_realbubble_bb1_in, Arg_3: Arg_3 {O(n)}
1: eval_realbubble_bb0_in->eval_realbubble_bb1_in, Arg_4: Arg_4 {O(n)}
1: eval_realbubble_bb0_in->eval_realbubble_bb1_in, Arg_5: Arg_5 {O(n)}
1: eval_realbubble_bb0_in->eval_realbubble_bb1_in, Arg_6: Arg_6 {O(n)}
2: eval_realbubble_bb1_in->eval_realbubble_bb2_in, Arg_2: Arg_4+1 {O(n)}
2: eval_realbubble_bb1_in->eval_realbubble_bb2_in, Arg_3: 0 {O(1)}
2: eval_realbubble_bb1_in->eval_realbubble_bb2_in, Arg_4: Arg_4 {O(n)}
2: eval_realbubble_bb1_in->eval_realbubble_bb2_in, Arg_5: 0 {O(1)}
2: eval_realbubble_bb1_in->eval_realbubble_bb2_in, Arg_6: Arg_6+1 {O(n)}
3: eval_realbubble_bb1_in->eval_realbubble_bb8_in, Arg_2: 2*Arg_4+2 {O(n)}
3: eval_realbubble_bb1_in->eval_realbubble_bb8_in, Arg_3: Arg_4*Arg_4+3*Arg_4+Arg_3+2 {O(n^2)}
3: eval_realbubble_bb1_in->eval_realbubble_bb8_in, Arg_4: 2*Arg_4 {O(n)}
3: eval_realbubble_bb1_in->eval_realbubble_bb8_in, Arg_5: Arg_5+1 {O(n)}
3: eval_realbubble_bb1_in->eval_realbubble_bb8_in, Arg_6: Arg_6+1 {O(n)}
4: eval_realbubble_bb2_in->eval_realbubble_bb3_in, Arg_2: Arg_4+1 {O(n)}
4: eval_realbubble_bb2_in->eval_realbubble_bb3_in, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
4: eval_realbubble_bb2_in->eval_realbubble_bb3_in, Arg_4: Arg_4 {O(n)}
4: eval_realbubble_bb2_in->eval_realbubble_bb3_in, Arg_5: 1 {O(1)}
4: eval_realbubble_bb2_in->eval_realbubble_bb3_in, Arg_6: Arg_6+2 {O(n)}
5: eval_realbubble_bb2_in->eval_realbubble_bb6_in, Arg_2: Arg_4+1 {O(n)}
5: eval_realbubble_bb2_in->eval_realbubble_bb6_in, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
5: eval_realbubble_bb2_in->eval_realbubble_bb6_in, Arg_4: Arg_4 {O(n)}
5: eval_realbubble_bb2_in->eval_realbubble_bb6_in, Arg_5: 1 {O(1)}
5: eval_realbubble_bb2_in->eval_realbubble_bb6_in, Arg_6: 1 {O(1)}
6: eval_realbubble_bb3_in->eval_realbubble_2, Arg_2: Arg_4+1 {O(n)}
6: eval_realbubble_bb3_in->eval_realbubble_2, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
6: eval_realbubble_bb3_in->eval_realbubble_2, Arg_4: Arg_4 {O(n)}
6: eval_realbubble_bb3_in->eval_realbubble_2, Arg_5: 1 {O(1)}
6: eval_realbubble_bb3_in->eval_realbubble_2, Arg_6: Arg_6+2 {O(n)}
13: eval_realbubble_bb4_in->eval_realbubble_5, Arg_2: Arg_4+1 {O(n)}
13: eval_realbubble_bb4_in->eval_realbubble_5, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
13: eval_realbubble_bb4_in->eval_realbubble_5, Arg_4: Arg_4 {O(n)}
13: eval_realbubble_bb4_in->eval_realbubble_5, Arg_5: 1 {O(1)}
13: eval_realbubble_bb4_in->eval_realbubble_5, Arg_6: Arg_6+2 {O(n)}
17: eval_realbubble_bb5_in->eval_realbubble_bb2_in, Arg_2: Arg_4+1 {O(n)}
17: eval_realbubble_bb5_in->eval_realbubble_bb2_in, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
17: eval_realbubble_bb5_in->eval_realbubble_bb2_in, Arg_4: Arg_4 {O(n)}
17: eval_realbubble_bb5_in->eval_realbubble_bb2_in, Arg_5: 1 {O(1)}
17: eval_realbubble_bb5_in->eval_realbubble_bb2_in, Arg_6: 1 {O(1)}
18: eval_realbubble_bb6_in->eval_realbubble_bb8_in, Arg_2: Arg_4+1 {O(n)}
18: eval_realbubble_bb6_in->eval_realbubble_bb8_in, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
18: eval_realbubble_bb6_in->eval_realbubble_bb8_in, Arg_4: Arg_4 {O(n)}
18: eval_realbubble_bb6_in->eval_realbubble_bb8_in, Arg_5: 0 {O(1)}
18: eval_realbubble_bb6_in->eval_realbubble_bb8_in, Arg_6: 1 {O(1)}
20: eval_realbubble_bb6_in->eval_realbubble_bb7_in, Arg_2: Arg_4+1 {O(n)}
20: eval_realbubble_bb6_in->eval_realbubble_bb7_in, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
20: eval_realbubble_bb6_in->eval_realbubble_bb7_in, Arg_4: Arg_4 {O(n)}
20: eval_realbubble_bb6_in->eval_realbubble_bb7_in, Arg_5: 1 {O(1)}
20: eval_realbubble_bb6_in->eval_realbubble_bb7_in, Arg_6: 1 {O(1)}
21: eval_realbubble_bb7_in->eval_realbubble_bb1_in, Arg_2: Arg_4+1 {O(n)}
21: eval_realbubble_bb7_in->eval_realbubble_bb1_in, Arg_3: Arg_4*Arg_4+3*Arg_4+2 {O(n^2)}
21: eval_realbubble_bb7_in->eval_realbubble_bb1_in, Arg_4: Arg_4 {O(n)}
21: eval_realbubble_bb7_in->eval_realbubble_bb1_in, Arg_5: 1 {O(1)}
21: eval_realbubble_bb7_in->eval_realbubble_bb1_in, Arg_6: 1 {O(1)}
22: eval_realbubble_bb8_in->eval_realbubble_stop, Arg_2: 3*Arg_4+3 {O(n)}
22: eval_realbubble_bb8_in->eval_realbubble_stop, Arg_3: 2*Arg_4*Arg_4+6*Arg_4+Arg_3+4 {O(n^2)}
22: eval_realbubble_bb8_in->eval_realbubble_stop, Arg_4: 3*Arg_4 {O(n)}
22: eval_realbubble_bb8_in->eval_realbubble_stop, Arg_5: Arg_5+1 {O(n)}
22: eval_realbubble_bb8_in->eval_realbubble_stop, Arg_6: Arg_6+2 {O(n)}
0: eval_realbubble_start->eval_realbubble_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_realbubble_start->eval_realbubble_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_realbubble_start->eval_realbubble_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_realbubble_start->eval_realbubble_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_realbubble_start->eval_realbubble_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_realbubble_start->eval_realbubble_bb0_in, Arg_5: Arg_5 {O(n)}
0: eval_realbubble_start->eval_realbubble_bb0_in, Arg_6: Arg_6 {O(n)}