Initial Problem
Start: eval_Loopus2015_ex1_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0
Locations: eval_Loopus2015_ex1_2, eval_Loopus2015_ex1_3, eval_Loopus2015_ex1_bb0_in, eval_Loopus2015_ex1_bb1_in, eval_Loopus2015_ex1_bb2_in, eval_Loopus2015_ex1_bb3_in, eval_Loopus2015_ex1_bb4_in, eval_Loopus2015_ex1_bb5_in, eval_Loopus2015_ex1_start, eval_Loopus2015_ex1_stop
Transitions:
6:eval_Loopus2015_ex1_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_3(Arg_0,Arg_1,nondef.0,Arg_3,Arg_4,Arg_5,Arg_6)
8:eval_Loopus2015_ex1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_1,Arg_0):|:Arg_2<=0
7:eval_Loopus2015_ex1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_1,Arg_5,Arg_6):|:0<Arg_2
1:eval_Loopus2015_ex1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,0,Arg_3)
2:eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_6
3:eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=0
4:eval_Loopus2015_ex1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_2(Arg_6-1,Arg_5+1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
10:eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,0,Arg_0):|:Arg_4<=0
9:eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:0<Arg_4
11:eval_Loopus2015_ex1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1,Arg_5,Arg_6)
12:eval_Loopus2015_ex1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
0:eval_Loopus2015_ex1_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
Preprocessing
Found invariant Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_Loopus2015_ex1_3
Found invariant Arg_6<=Arg_3 && 0<=Arg_5 for location eval_Loopus2015_ex1_bb1_in
Found invariant Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_Loopus2015_ex1_2
Found invariant Arg_6<=0 && Arg_6<=Arg_5 && Arg_6<=Arg_3 && 0<=Arg_5 for location eval_Loopus2015_ex1_stop
Found invariant Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && Arg_4<=1+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_4<=Arg_1 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_Loopus2015_ex1_bb3_in
Found invariant Arg_6<=0 && Arg_6<=Arg_5 && Arg_6<=Arg_3 && 0<=Arg_5 for location eval_Loopus2015_ex1_bb5_in
Found invariant Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 1<=Arg_4+Arg_5 && Arg_4<=1+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location eval_Loopus2015_ex1_bb4_in
Found invariant Arg_6<=Arg_3 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_3+Arg_6 && 0<=Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_3 for location eval_Loopus2015_ex1_bb2_in
Problem after Preprocessing
Start: eval_Loopus2015_ex1_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6
Temp_Vars: nondef.0
Locations: eval_Loopus2015_ex1_2, eval_Loopus2015_ex1_3, eval_Loopus2015_ex1_bb0_in, eval_Loopus2015_ex1_bb1_in, eval_Loopus2015_ex1_bb2_in, eval_Loopus2015_ex1_bb3_in, eval_Loopus2015_ex1_bb4_in, eval_Loopus2015_ex1_bb5_in, eval_Loopus2015_ex1_start, eval_Loopus2015_ex1_stop
Transitions:
6:eval_Loopus2015_ex1_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_3(Arg_0,Arg_1,nondef.0,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0
8:eval_Loopus2015_ex1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_1,Arg_0):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_2<=0
7:eval_Loopus2015_ex1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_1,Arg_5,Arg_6):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<Arg_2
1:eval_Loopus2015_ex1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,0,Arg_3)
2:eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_3 && 0<=Arg_5 && 0<Arg_6
3:eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_3 && 0<=Arg_5 && Arg_6<=0
4:eval_Loopus2015_ex1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_2(Arg_6-1,Arg_5+1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_3 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_3+Arg_6 && 0<=Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_3
10:eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,0,Arg_0):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && Arg_4<=1+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_4<=Arg_1 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=0
9:eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && Arg_4<=1+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_4<=Arg_1 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<Arg_4
11:eval_Loopus2015_ex1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1,Arg_5,Arg_6):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 1<=Arg_4+Arg_5 && Arg_4<=1+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0
12:eval_Loopus2015_ex1_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=0 && Arg_6<=Arg_5 && Arg_6<=Arg_3 && 0<=Arg_5
0:eval_Loopus2015_ex1_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6)
MPRF for transition 6:eval_Loopus2015_ex1_2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_3(Arg_0,Arg_1,nondef.0,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 of depth 1:
new bound:
Arg_3 {O(n)}
MPRF:
eval_Loopus2015_ex1_3 [Arg_0 ]
eval_Loopus2015_ex1_bb2_in [Arg_6 ]
eval_Loopus2015_ex1_2 [Arg_0+1 ]
eval_Loopus2015_ex1_bb1_in [Arg_6 ]
eval_Loopus2015_ex1_bb4_in [Arg_0 ]
eval_Loopus2015_ex1_bb3_in [Arg_0 ]
MPRF for transition 7:eval_Loopus2015_ex1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_1,Arg_5,Arg_6):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<Arg_2 of depth 1:
new bound:
Arg_3 {O(n)}
MPRF:
eval_Loopus2015_ex1_3 [Arg_0+1 ]
eval_Loopus2015_ex1_bb2_in [Arg_6 ]
eval_Loopus2015_ex1_2 [Arg_0+1 ]
eval_Loopus2015_ex1_bb1_in [Arg_6 ]
eval_Loopus2015_ex1_bb4_in [Arg_0 ]
eval_Loopus2015_ex1_bb3_in [Arg_0 ]
MPRF for transition 8:eval_Loopus2015_ex1_3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_1,Arg_0):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && 1<=Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_2<=0 of depth 1:
new bound:
Arg_3 {O(n)}
MPRF:
eval_Loopus2015_ex1_3 [Arg_6 ]
eval_Loopus2015_ex1_bb2_in [Arg_6 ]
eval_Loopus2015_ex1_2 [Arg_6 ]
eval_Loopus2015_ex1_bb1_in [Arg_6 ]
eval_Loopus2015_ex1_bb4_in [Arg_0 ]
eval_Loopus2015_ex1_bb3_in [Arg_0 ]
MPRF for transition 2:eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_3 && 0<=Arg_5 && 0<Arg_6 of depth 1:
new bound:
Arg_3 {O(n)}
MPRF:
eval_Loopus2015_ex1_3 [Arg_0 ]
eval_Loopus2015_ex1_bb2_in [Arg_6-1 ]
eval_Loopus2015_ex1_2 [Arg_0 ]
eval_Loopus2015_ex1_bb1_in [Arg_6 ]
eval_Loopus2015_ex1_bb4_in [Arg_5+Arg_6-Arg_1 ]
eval_Loopus2015_ex1_bb3_in [Arg_5+Arg_6-Arg_1 ]
MPRF for transition 4:eval_Loopus2015_ex1_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_2(Arg_6-1,Arg_5+1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_3 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_3+Arg_6 && 0<=Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_3 of depth 1:
new bound:
Arg_3 {O(n)}
MPRF:
eval_Loopus2015_ex1_3 [Arg_0 ]
eval_Loopus2015_ex1_bb2_in [Arg_6 ]
eval_Loopus2015_ex1_2 [Arg_6-1 ]
eval_Loopus2015_ex1_bb1_in [Arg_6 ]
eval_Loopus2015_ex1_bb4_in [Arg_0 ]
eval_Loopus2015_ex1_bb3_in [Arg_0 ]
MPRF for transition 9:eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && Arg_4<=1+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_4<=Arg_1 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && 0<Arg_4 of depth 1:
new bound:
2*Arg_3 {O(n)}
MPRF:
eval_Loopus2015_ex1_3 [Arg_0+Arg_3+Arg_5+1 ]
eval_Loopus2015_ex1_bb2_in [Arg_3+Arg_5+Arg_6 ]
eval_Loopus2015_ex1_2 [Arg_0+Arg_3+Arg_5+1 ]
eval_Loopus2015_ex1_bb1_in [Arg_3+Arg_5+Arg_6 ]
eval_Loopus2015_ex1_bb4_in [Arg_3+Arg_4+Arg_6-2 ]
eval_Loopus2015_ex1_bb3_in [Arg_3+Arg_4+Arg_6-1 ]
MPRF for transition 10:eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,0,Arg_0):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 1<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 0<=Arg_4+Arg_5 && Arg_4<=1+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_4<=Arg_1 && 0<=Arg_4 && 1<=Arg_3+Arg_4 && 1<=Arg_2+Arg_4 && 1<=Arg_1+Arg_4 && 0<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_4<=0 of depth 1:
new bound:
Arg_3 {O(n)}
MPRF:
eval_Loopus2015_ex1_3 [2*Arg_0+Arg_1+1-Arg_5-Arg_6 ]
eval_Loopus2015_ex1_bb2_in [Arg_6 ]
eval_Loopus2015_ex1_2 [Arg_1+Arg_6-Arg_5-1 ]
eval_Loopus2015_ex1_bb1_in [Arg_6 ]
eval_Loopus2015_ex1_bb4_in [Arg_0+Arg_1-Arg_5 ]
eval_Loopus2015_ex1_bb3_in [Arg_0+1 ]
MPRF for transition 11:eval_Loopus2015_ex1_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6) -> eval_Loopus2015_ex1_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1,Arg_5,Arg_6):|:Arg_6<=Arg_3 && Arg_6<=1+Arg_0 && 1<=Arg_6 && 1<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && 2<=Arg_3+Arg_6 && 2<=Arg_2+Arg_6 && 2<=Arg_1+Arg_6 && 1<=Arg_0+Arg_6 && 1+Arg_0<=Arg_6 && 1+Arg_5<=Arg_1 && 0<=Arg_5 && 1<=Arg_4+Arg_5 && Arg_4<=1+Arg_5 && 1<=Arg_3+Arg_5 && 1<=Arg_2+Arg_5 && 1<=Arg_1+Arg_5 && Arg_1<=1+Arg_5 && 0<=Arg_0+Arg_5 && Arg_4<=Arg_1 && 1<=Arg_4 && 2<=Arg_3+Arg_4 && 2<=Arg_2+Arg_4 && 2<=Arg_1+Arg_4 && 1<=Arg_0+Arg_4 && 1<=Arg_3 && 2<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 1<=Arg_0+Arg_3 && 1+Arg_0<=Arg_3 && 1<=Arg_2 && 2<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 of depth 1:
new bound:
2*Arg_3+1 {O(n)}
MPRF:
eval_Loopus2015_ex1_3 [Arg_0+Arg_3+Arg_5 ]
eval_Loopus2015_ex1_bb2_in [Arg_3+Arg_5+Arg_6-1 ]
eval_Loopus2015_ex1_2 [Arg_3+Arg_5+Arg_6-1 ]
eval_Loopus2015_ex1_bb1_in [Arg_3+Arg_5+Arg_6-1 ]
eval_Loopus2015_ex1_bb4_in [Arg_0+Arg_3+Arg_4+Arg_5-Arg_1 ]
eval_Loopus2015_ex1_bb3_in [Arg_3+Arg_4+Arg_5+Arg_6-Arg_1-1 ]
All Bounds
Timebounds
Overall timebound:10*Arg_3+5 {O(n)}
6: eval_Loopus2015_ex1_2->eval_Loopus2015_ex1_3: Arg_3 {O(n)}
7: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb3_in: Arg_3 {O(n)}
8: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb1_in: Arg_3 {O(n)}
1: eval_Loopus2015_ex1_bb0_in->eval_Loopus2015_ex1_bb1_in: 1 {O(1)}
2: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb2_in: Arg_3 {O(n)}
3: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb5_in: 1 {O(1)}
4: eval_Loopus2015_ex1_bb2_in->eval_Loopus2015_ex1_2: Arg_3 {O(n)}
9: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb4_in: 2*Arg_3 {O(n)}
10: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb1_in: Arg_3 {O(n)}
11: eval_Loopus2015_ex1_bb4_in->eval_Loopus2015_ex1_bb3_in: 2*Arg_3+1 {O(n)}
12: eval_Loopus2015_ex1_bb5_in->eval_Loopus2015_ex1_stop: 1 {O(1)}
0: eval_Loopus2015_ex1_start->eval_Loopus2015_ex1_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: 10*Arg_3+5 {O(n)}
6: eval_Loopus2015_ex1_2->eval_Loopus2015_ex1_3: Arg_3 {O(n)}
7: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb3_in: Arg_3 {O(n)}
8: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb1_in: Arg_3 {O(n)}
1: eval_Loopus2015_ex1_bb0_in->eval_Loopus2015_ex1_bb1_in: 1 {O(1)}
2: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb2_in: Arg_3 {O(n)}
3: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb5_in: 1 {O(1)}
4: eval_Loopus2015_ex1_bb2_in->eval_Loopus2015_ex1_2: Arg_3 {O(n)}
9: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb4_in: 2*Arg_3 {O(n)}
10: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb1_in: Arg_3 {O(n)}
11: eval_Loopus2015_ex1_bb4_in->eval_Loopus2015_ex1_bb3_in: 2*Arg_3+1 {O(n)}
12: eval_Loopus2015_ex1_bb5_in->eval_Loopus2015_ex1_stop: 1 {O(1)}
0: eval_Loopus2015_ex1_start->eval_Loopus2015_ex1_bb0_in: 1 {O(1)}
Sizebounds
6: eval_Loopus2015_ex1_2->eval_Loopus2015_ex1_3, Arg_0: Arg_3 {O(n)}
6: eval_Loopus2015_ex1_2->eval_Loopus2015_ex1_3, Arg_1: Arg_3 {O(n)}
6: eval_Loopus2015_ex1_2->eval_Loopus2015_ex1_3, Arg_3: Arg_3 {O(n)}
6: eval_Loopus2015_ex1_2->eval_Loopus2015_ex1_3, Arg_4: Arg_4 {O(n)}
6: eval_Loopus2015_ex1_2->eval_Loopus2015_ex1_3, Arg_5: Arg_3 {O(n)}
6: eval_Loopus2015_ex1_2->eval_Loopus2015_ex1_3, Arg_6: Arg_3 {O(n)}
7: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb3_in, Arg_0: Arg_3 {O(n)}
7: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb3_in, Arg_1: Arg_3 {O(n)}
7: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb3_in, Arg_3: Arg_3 {O(n)}
7: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb3_in, Arg_4: Arg_3 {O(n)}
7: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb3_in, Arg_5: Arg_3 {O(n)}
7: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb3_in, Arg_6: Arg_3 {O(n)}
8: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb1_in, Arg_0: Arg_3 {O(n)}
8: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb1_in, Arg_1: Arg_3 {O(n)}
8: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb1_in, Arg_3: Arg_3 {O(n)}
8: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb1_in, Arg_4: Arg_4 {O(n)}
8: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb1_in, Arg_5: Arg_3 {O(n)}
8: eval_Loopus2015_ex1_3->eval_Loopus2015_ex1_bb1_in, Arg_6: Arg_3 {O(n)}
1: eval_Loopus2015_ex1_bb0_in->eval_Loopus2015_ex1_bb1_in, Arg_0: Arg_0 {O(n)}
1: eval_Loopus2015_ex1_bb0_in->eval_Loopus2015_ex1_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_Loopus2015_ex1_bb0_in->eval_Loopus2015_ex1_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_Loopus2015_ex1_bb0_in->eval_Loopus2015_ex1_bb1_in, Arg_3: Arg_3 {O(n)}
1: eval_Loopus2015_ex1_bb0_in->eval_Loopus2015_ex1_bb1_in, Arg_4: Arg_4 {O(n)}
1: eval_Loopus2015_ex1_bb0_in->eval_Loopus2015_ex1_bb1_in, Arg_5: 0 {O(1)}
1: eval_Loopus2015_ex1_bb0_in->eval_Loopus2015_ex1_bb1_in, Arg_6: Arg_3 {O(n)}
2: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb2_in, Arg_0: 2*Arg_3+Arg_0 {O(n)}
2: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb2_in, Arg_1: 2*Arg_3+Arg_1 {O(n)}
2: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb2_in, Arg_3: Arg_3 {O(n)}
2: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb2_in, Arg_4: Arg_4 {O(n)}
2: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb2_in, Arg_5: Arg_3 {O(n)}
2: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb2_in, Arg_6: Arg_3 {O(n)}
3: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb5_in, Arg_0: 2*Arg_3+Arg_0 {O(n)}
3: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb5_in, Arg_1: 2*Arg_3+Arg_1 {O(n)}
3: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb5_in, Arg_3: 3*Arg_3 {O(n)}
3: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb5_in, Arg_4: 2*Arg_4 {O(n)}
3: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb5_in, Arg_5: Arg_3 {O(n)}
3: eval_Loopus2015_ex1_bb1_in->eval_Loopus2015_ex1_bb5_in, Arg_6: 3*Arg_3 {O(n)}
4: eval_Loopus2015_ex1_bb2_in->eval_Loopus2015_ex1_2, Arg_0: Arg_3 {O(n)}
4: eval_Loopus2015_ex1_bb2_in->eval_Loopus2015_ex1_2, Arg_1: Arg_3 {O(n)}
4: eval_Loopus2015_ex1_bb2_in->eval_Loopus2015_ex1_2, Arg_3: Arg_3 {O(n)}
4: eval_Loopus2015_ex1_bb2_in->eval_Loopus2015_ex1_2, Arg_4: Arg_4 {O(n)}
4: eval_Loopus2015_ex1_bb2_in->eval_Loopus2015_ex1_2, Arg_5: Arg_3 {O(n)}
4: eval_Loopus2015_ex1_bb2_in->eval_Loopus2015_ex1_2, Arg_6: Arg_3 {O(n)}
9: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb4_in, Arg_0: Arg_3 {O(n)}
9: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb4_in, Arg_1: Arg_3 {O(n)}
9: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb4_in, Arg_3: Arg_3 {O(n)}
9: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb4_in, Arg_4: Arg_3 {O(n)}
9: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb4_in, Arg_5: Arg_3 {O(n)}
9: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb4_in, Arg_6: Arg_3 {O(n)}
10: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb1_in, Arg_0: Arg_3 {O(n)}
10: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb1_in, Arg_1: Arg_3 {O(n)}
10: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb1_in, Arg_3: Arg_3 {O(n)}
10: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb1_in, Arg_4: 0 {O(1)}
10: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb1_in, Arg_5: 0 {O(1)}
10: eval_Loopus2015_ex1_bb3_in->eval_Loopus2015_ex1_bb1_in, Arg_6: Arg_3 {O(n)}
11: eval_Loopus2015_ex1_bb4_in->eval_Loopus2015_ex1_bb3_in, Arg_0: Arg_3 {O(n)}
11: eval_Loopus2015_ex1_bb4_in->eval_Loopus2015_ex1_bb3_in, Arg_1: Arg_3 {O(n)}
11: eval_Loopus2015_ex1_bb4_in->eval_Loopus2015_ex1_bb3_in, Arg_3: Arg_3 {O(n)}
11: eval_Loopus2015_ex1_bb4_in->eval_Loopus2015_ex1_bb3_in, Arg_4: Arg_3 {O(n)}
11: eval_Loopus2015_ex1_bb4_in->eval_Loopus2015_ex1_bb3_in, Arg_5: Arg_3 {O(n)}
11: eval_Loopus2015_ex1_bb4_in->eval_Loopus2015_ex1_bb3_in, Arg_6: Arg_3 {O(n)}
12: eval_Loopus2015_ex1_bb5_in->eval_Loopus2015_ex1_stop, Arg_0: 2*Arg_3+Arg_0 {O(n)}
12: eval_Loopus2015_ex1_bb5_in->eval_Loopus2015_ex1_stop, Arg_1: 2*Arg_3+Arg_1 {O(n)}
12: eval_Loopus2015_ex1_bb5_in->eval_Loopus2015_ex1_stop, Arg_3: 3*Arg_3 {O(n)}
12: eval_Loopus2015_ex1_bb5_in->eval_Loopus2015_ex1_stop, Arg_4: 2*Arg_4 {O(n)}
12: eval_Loopus2015_ex1_bb5_in->eval_Loopus2015_ex1_stop, Arg_5: Arg_3 {O(n)}
12: eval_Loopus2015_ex1_bb5_in->eval_Loopus2015_ex1_stop, Arg_6: 3*Arg_3 {O(n)}
0: eval_Loopus2015_ex1_start->eval_Loopus2015_ex1_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_Loopus2015_ex1_start->eval_Loopus2015_ex1_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_Loopus2015_ex1_start->eval_Loopus2015_ex1_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_Loopus2015_ex1_start->eval_Loopus2015_ex1_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_Loopus2015_ex1_start->eval_Loopus2015_ex1_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_Loopus2015_ex1_start->eval_Loopus2015_ex1_bb0_in, Arg_5: Arg_5 {O(n)}
0: eval_Loopus2015_ex1_start->eval_Loopus2015_ex1_bb0_in, Arg_6: Arg_6 {O(n)}