Initial Problem
Start: eval_heapsort_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7
Temp_Vars: nondef.0, nondef.1
Locations: eval_heapsort_4, eval_heapsort_5, eval_heapsort_7, eval_heapsort_8, eval_heapsort_bb0_in, eval_heapsort_bb10_in, eval_heapsort_bb11_in, eval_heapsort_bb1_in, eval_heapsort_bb2_in, eval_heapsort_bb3_in, eval_heapsort_bb4_in, eval_heapsort_bb5_in, eval_heapsort_bb6_in, eval_heapsort_bb7_in, eval_heapsort_bb8_in, eval_heapsort_bb9_in, eval_heapsort_start, eval_heapsort_stop
Transitions:
12:eval_heapsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_5(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5,Arg_6,Arg_7)
13:eval_heapsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_1,Arg_6,Arg_7):|:0<Arg_3
14:eval_heapsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_4,Arg_6,Arg_7):|:Arg_3<=0
22:eval_heapsort_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_8(nondef.1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
23:eval_heapsort_8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_2,Arg_7):|:0<Arg_0
24:eval_heapsort_8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5,Arg_7):|:Arg_0<=0
1:eval_heapsort_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,1,Arg_5,Arg_6,Arg_7)
31:eval_heapsort_bb10_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<1
32:eval_heapsort_bb10_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<Arg_6
33:eval_heapsort_bb10_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_6,Arg_5,Arg_6,Arg_7):|:1<=Arg_6 && Arg_6<=Arg_7
34:eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
3:eval_heapsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<=0
4:eval_heapsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_4<1
2:eval_heapsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:0<Arg_7 && 1<=Arg_4
5:eval_heapsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb3_in(Arg_0,2*Arg_4,2*Arg_4+1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:2*Arg_4<=Arg_7
6:eval_heapsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb5_in(Arg_0,2*Arg_4,2*Arg_4+1,Arg_3,Arg_4,Arg_4,Arg_6,Arg_7):|:Arg_7<2*Arg_4
7:eval_heapsort_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_1<1
8:eval_heapsort_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<Arg_1
9:eval_heapsort_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_1 && Arg_1<=Arg_7
10:eval_heapsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
15:eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_2<=Arg_7
16:eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5,Arg_7):|:Arg_7<Arg_2
17:eval_heapsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_2<1
18:eval_heapsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<Arg_2
19:eval_heapsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_2 && Arg_2<=Arg_7
20:eval_heapsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
27:eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_4<=Arg_6 && Arg_6<=Arg_4
25:eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb9_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_4<Arg_6
26:eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb9_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_6<Arg_4
30:eval_heapsort_bb9_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb10_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_4 && Arg_4<=Arg_7
28:eval_heapsort_bb9_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_4<1
29:eval_heapsort_bb9_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:Arg_7<Arg_4
0:eval_heapsort_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₁
τ = Arg_6<1
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = Arg_7<=0
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₄
τ = Arg_4<1
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = Arg_7<2*Arg_4
eval_heapsort_bb3_in->eval_heapsort_bb11_in
t₇
τ = Arg_1<1
eval_heapsort_bb3_in->eval_heapsort_bb11_in
t₈
τ = Arg_7<Arg_1
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = Arg_7<Arg_2
eval_heapsort_bb6_in->eval_heapsort_bb11_in
t₁₇
τ = Arg_2<1
eval_heapsort_bb6_in->eval_heapsort_bb11_in
t₁₈
τ = Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = Arg_4<Arg_6
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₆
τ = Arg_6<Arg_4
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₈
τ = Arg_4<1
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
Preprocessing
Cut unsatisfiable transition 4: eval_heapsort_bb1_in->eval_heapsort_bb11_in
Cut unsatisfiable transition 8: eval_heapsort_bb3_in->eval_heapsort_bb11_in
Cut unsatisfiable transition 18: eval_heapsort_bb6_in->eval_heapsort_bb11_in
Found invariant 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_bb9_in
Found invariant 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 for location eval_heapsort_bb2_in
Found invariant 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_5
Found invariant 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_bb4_in
Found invariant 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_7
Found invariant 1<=Arg_4 for location eval_heapsort_stop
Found invariant 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_8
Found invariant 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_bb5_in
Found invariant 1<=Arg_4 for location eval_heapsort_bb11_in
Found invariant 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_4
Found invariant 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_bb3_in
Found invariant 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_bb8_in
Found invariant 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_bb10_in
Found invariant 1<=Arg_4 for location eval_heapsort_bb1_in
Found invariant 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_bb6_in
Found invariant 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 for location eval_heapsort_bb7_in
Cut unsatisfiable transition 31: eval_heapsort_bb10_in->eval_heapsort_bb11_in
Cut unsatisfiable transition 7: eval_heapsort_bb3_in->eval_heapsort_bb11_in
Cut unsatisfiable transition 17: eval_heapsort_bb6_in->eval_heapsort_bb11_in
Cut unsatisfiable transition 26: eval_heapsort_bb8_in->eval_heapsort_bb9_in
Cut unsatisfiable transition 28: eval_heapsort_bb9_in->eval_heapsort_bb11_in
Problem after Preprocessing
Start: eval_heapsort_start
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4, Arg_5, Arg_6, Arg_7
Temp_Vars: nondef.0, nondef.1
Locations: eval_heapsort_4, eval_heapsort_5, eval_heapsort_7, eval_heapsort_8, eval_heapsort_bb0_in, eval_heapsort_bb10_in, eval_heapsort_bb11_in, eval_heapsort_bb1_in, eval_heapsort_bb2_in, eval_heapsort_bb3_in, eval_heapsort_bb4_in, eval_heapsort_bb5_in, eval_heapsort_bb6_in, eval_heapsort_bb7_in, eval_heapsort_bb8_in, eval_heapsort_bb9_in, eval_heapsort_start, eval_heapsort_stop
Transitions:
12:eval_heapsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_5(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5,Arg_6,Arg_7):|:2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
13:eval_heapsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_1,Arg_6,Arg_7):|:2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
14:eval_heapsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_4,Arg_6,Arg_7):|:2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
22:eval_heapsort_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_8(nondef.1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
23:eval_heapsort_8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_2,Arg_7):|:3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
24:eval_heapsort_8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5,Arg_7):|:3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
1:eval_heapsort_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,1,Arg_5,Arg_6,Arg_7)
32:eval_heapsort_bb10_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
33:eval_heapsort_bb10_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_6,Arg_5,Arg_6,Arg_7):|:1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
34:eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_stop(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_4
3:eval_heapsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_4 && Arg_7<=0
2:eval_heapsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
5:eval_heapsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb3_in(Arg_0,2*Arg_4,2*Arg_4+1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
6:eval_heapsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb5_in(Arg_0,2*Arg_4,2*Arg_4+1,Arg_3,Arg_4,Arg_4,Arg_6,Arg_7):|:1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
9:eval_heapsort_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
10:eval_heapsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
15:eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
16:eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5,Arg_7):|:1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
19:eval_heapsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
20:eval_heapsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
27:eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
25:eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb9_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
30:eval_heapsort_bb9_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb10_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
29:eval_heapsort_bb9_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb11_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
0:eval_heapsort_start(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb0_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7)
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 12:eval_heapsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_5(Arg_0,Arg_1,Arg_2,nondef.0,Arg_4,Arg_5,Arg_6,Arg_7):|:2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 of depth 1:
new bound:
Arg_7+2 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7-Arg_4 ]
eval_heapsort_8 [Arg_7-Arg_4 ]
eval_heapsort_bb1_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb2_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb3_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb4_in [Arg_7+1-Arg_4 ]
eval_heapsort_4 [Arg_7+1-Arg_4 ]
eval_heapsort_bb5_in [Arg_7-Arg_4 ]
eval_heapsort_bb6_in [Arg_7-Arg_4 ]
eval_heapsort_bb7_in [Arg_7-Arg_4 ]
eval_heapsort_7 [Arg_7-Arg_4 ]
eval_heapsort_bb8_in [Arg_7-Arg_4 ]
eval_heapsort_bb9_in [Arg_7-Arg_4 ]
eval_heapsort_bb10_in [Arg_7-Arg_4 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 13:eval_heapsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_1,Arg_6,Arg_7):|:2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3 of depth 1:
new bound:
Arg_7+1 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7-Arg_4 ]
eval_heapsort_8 [Arg_7-Arg_4-1 ]
eval_heapsort_bb1_in [Arg_7-Arg_4 ]
eval_heapsort_bb2_in [Arg_7-Arg_4 ]
eval_heapsort_bb3_in [Arg_7-Arg_4 ]
eval_heapsort_bb4_in [Arg_7-Arg_4 ]
eval_heapsort_4 [Arg_7-Arg_4 ]
eval_heapsort_bb5_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb6_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb7_in [Arg_7-Arg_4-1 ]
eval_heapsort_7 [Arg_7-Arg_4-1 ]
eval_heapsort_bb8_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb9_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb10_in [Arg_7-Arg_6 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 14:eval_heapsort_5(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_4,Arg_6,Arg_7):|:2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0 of depth 1:
new bound:
Arg_7+2 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7+1-Arg_4 ]
eval_heapsort_8 [Arg_7-Arg_4 ]
eval_heapsort_bb1_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb2_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb3_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb4_in [Arg_7+1-Arg_4 ]
eval_heapsort_4 [Arg_7+1-Arg_4 ]
eval_heapsort_bb5_in [Arg_7-Arg_4 ]
eval_heapsort_bb6_in [Arg_7-Arg_4 ]
eval_heapsort_bb7_in [Arg_7-Arg_4 ]
eval_heapsort_7 [Arg_7-Arg_4 ]
eval_heapsort_bb8_in [Arg_7-Arg_4 ]
eval_heapsort_bb9_in [Arg_7-Arg_4 ]
eval_heapsort_bb10_in [Arg_7-Arg_4 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 22:eval_heapsort_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_8(nondef.1,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 of depth 1:
new bound:
Arg_7+1 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7-Arg_4 ]
eval_heapsort_8 [Arg_7-Arg_4-1 ]
eval_heapsort_bb1_in [Arg_7-Arg_4 ]
eval_heapsort_bb2_in [Arg_7-Arg_4 ]
eval_heapsort_bb3_in [Arg_7-Arg_4 ]
eval_heapsort_bb4_in [Arg_7-Arg_4 ]
eval_heapsort_4 [Arg_7-Arg_4 ]
eval_heapsort_bb5_in [Arg_7-Arg_4 ]
eval_heapsort_bb6_in [Arg_7-Arg_4 ]
eval_heapsort_bb7_in [Arg_7-Arg_4 ]
eval_heapsort_7 [Arg_7-Arg_4 ]
eval_heapsort_bb8_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb9_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb10_in [Arg_7-Arg_4-1 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 23:eval_heapsort_8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_2,Arg_7):|:3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0 of depth 1:
new bound:
Arg_7+5 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7+4-Arg_4 ]
eval_heapsort_8 [Arg_7+4-Arg_4 ]
eval_heapsort_bb1_in [Arg_7+4-Arg_4 ]
eval_heapsort_bb2_in [Arg_7+4-Arg_4 ]
eval_heapsort_bb3_in [Arg_7+4-Arg_4 ]
eval_heapsort_bb4_in [Arg_7+4-Arg_4 ]
eval_heapsort_4 [Arg_7+4-Arg_4 ]
eval_heapsort_bb5_in [Arg_7+4-Arg_4 ]
eval_heapsort_bb6_in [Arg_7+4-Arg_4 ]
eval_heapsort_bb7_in [Arg_7+4-Arg_4 ]
eval_heapsort_7 [Arg_7+4-Arg_4 ]
eval_heapsort_bb8_in [Arg_7+4-Arg_6 ]
eval_heapsort_bb9_in [Arg_7+4-Arg_6 ]
eval_heapsort_bb10_in [Arg_7+4-Arg_6 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 24:eval_heapsort_8(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5,Arg_7):|:3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0 of depth 1:
new bound:
Arg_7+1 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7-Arg_4 ]
eval_heapsort_8 [Arg_7-Arg_4 ]
eval_heapsort_bb1_in [Arg_7-Arg_4 ]
eval_heapsort_bb2_in [Arg_7-Arg_4 ]
eval_heapsort_bb3_in [Arg_7-Arg_4 ]
eval_heapsort_bb4_in [Arg_7-Arg_4 ]
eval_heapsort_4 [Arg_7-Arg_4 ]
eval_heapsort_bb5_in [Arg_7-Arg_4 ]
eval_heapsort_bb6_in [Arg_7-Arg_4 ]
eval_heapsort_bb7_in [Arg_7-Arg_4 ]
eval_heapsort_7 [Arg_7-Arg_4 ]
eval_heapsort_bb8_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb9_in [Arg_7-Arg_6 ]
eval_heapsort_bb10_in [Arg_7-Arg_6 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 33:eval_heapsort_bb10_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_6,Arg_5,Arg_6,Arg_7):|:1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7 of depth 1:
new bound:
2*Arg_7+1 {O(n)}
MPRF:
eval_heapsort_5 [2*Arg_7-Arg_4 ]
eval_heapsort_8 [2*Arg_7-Arg_4 ]
eval_heapsort_bb1_in [2*Arg_7-Arg_4 ]
eval_heapsort_bb2_in [2*Arg_7-Arg_4 ]
eval_heapsort_bb3_in [2*Arg_7-Arg_4 ]
eval_heapsort_bb4_in [2*Arg_7-Arg_4 ]
eval_heapsort_4 [2*Arg_7-Arg_4 ]
eval_heapsort_bb5_in [2*Arg_7-Arg_4 ]
eval_heapsort_bb6_in [2*Arg_7-Arg_4 ]
eval_heapsort_bb7_in [2*Arg_7-Arg_4 ]
eval_heapsort_7 [2*Arg_7-Arg_4 ]
eval_heapsort_bb8_in [2*Arg_7-Arg_4 ]
eval_heapsort_bb9_in [2*Arg_7-Arg_4 ]
eval_heapsort_bb10_in [2*Arg_7-Arg_4 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 5:eval_heapsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb3_in(Arg_0,2*Arg_4,2*Arg_4+1,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7 of depth 1:
new bound:
Arg_7+3 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7-2*Arg_4 ]
eval_heapsort_8 [Arg_7-2*Arg_4 ]
eval_heapsort_bb1_in [Arg_7+1-2*Arg_4 ]
eval_heapsort_bb2_in [Arg_7+1-2*Arg_4 ]
eval_heapsort_bb3_in [Arg_7-2*Arg_4 ]
eval_heapsort_bb4_in [Arg_7-2*Arg_4 ]
eval_heapsort_4 [Arg_7-2*Arg_4 ]
eval_heapsort_bb5_in [Arg_7-2*Arg_4 ]
eval_heapsort_bb6_in [Arg_7-2*Arg_4 ]
eval_heapsort_bb7_in [Arg_7-2*Arg_4 ]
eval_heapsort_7 [Arg_7-2*Arg_4 ]
eval_heapsort_bb8_in [Arg_7-2*Arg_4 ]
eval_heapsort_bb9_in [Arg_7+1-2*Arg_6 ]
eval_heapsort_bb10_in [Arg_7+1-2*Arg_6 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 9:eval_heapsort_bb3_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7 of depth 1:
new bound:
Arg_7+1 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7-Arg_4-1 ]
eval_heapsort_8 [Arg_7-Arg_4-1 ]
eval_heapsort_bb1_in [Arg_7-Arg_4 ]
eval_heapsort_bb2_in [Arg_7-Arg_4 ]
eval_heapsort_bb3_in [Arg_7-Arg_4 ]
eval_heapsort_bb4_in [Arg_7-Arg_4-1 ]
eval_heapsort_4 [Arg_7-Arg_4-1 ]
eval_heapsort_bb5_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb6_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb7_in [Arg_7-Arg_4-1 ]
eval_heapsort_7 [Arg_7-Arg_4-1 ]
eval_heapsort_bb8_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb9_in [Arg_7-Arg_6 ]
eval_heapsort_bb10_in [Arg_7-Arg_6 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 10:eval_heapsort_bb4_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 of depth 1:
new bound:
Arg_7+1 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7-Arg_4-1 ]
eval_heapsort_8 [Arg_7-Arg_4-1 ]
eval_heapsort_bb1_in [Arg_7-Arg_4 ]
eval_heapsort_bb2_in [Arg_7-Arg_4 ]
eval_heapsort_bb3_in [Arg_7-Arg_4 ]
eval_heapsort_bb4_in [Arg_7-Arg_4 ]
eval_heapsort_4 [Arg_7-Arg_4-1 ]
eval_heapsort_bb5_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb6_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb7_in [Arg_7-Arg_4-1 ]
eval_heapsort_7 [Arg_7-Arg_4-1 ]
eval_heapsort_bb8_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb9_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb10_in [Arg_7-Arg_4-1 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 15:eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7 of depth 1:
new bound:
Arg_7+2 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7+1-Arg_4 ]
eval_heapsort_8 [Arg_7-Arg_4 ]
eval_heapsort_bb1_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb2_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb3_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb4_in [Arg_7+1-Arg_4 ]
eval_heapsort_4 [Arg_7+1-Arg_4 ]
eval_heapsort_bb5_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb6_in [Arg_7-Arg_4 ]
eval_heapsort_bb7_in [Arg_7-Arg_4 ]
eval_heapsort_7 [Arg_7-Arg_4 ]
eval_heapsort_bb8_in [Arg_7-Arg_4 ]
eval_heapsort_bb9_in [Arg_7+1-Arg_6 ]
eval_heapsort_bb10_in [Arg_7+1-Arg_6 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 19:eval_heapsort_bb6_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7 of depth 1:
new bound:
Arg_7+1 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7-Arg_4 ]
eval_heapsort_8 [Arg_7-Arg_4-1 ]
eval_heapsort_bb1_in [Arg_7-Arg_4 ]
eval_heapsort_bb2_in [Arg_7-Arg_4 ]
eval_heapsort_bb3_in [Arg_7-Arg_4 ]
eval_heapsort_bb4_in [Arg_7-Arg_4 ]
eval_heapsort_4 [Arg_7-Arg_4 ]
eval_heapsort_bb5_in [Arg_7-Arg_4 ]
eval_heapsort_bb6_in [Arg_7-Arg_4 ]
eval_heapsort_bb7_in [Arg_7-Arg_4-1 ]
eval_heapsort_7 [Arg_7-Arg_4-1 ]
eval_heapsort_bb8_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb9_in [Arg_7-Arg_6 ]
eval_heapsort_bb10_in [Arg_7-Arg_6 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 20:eval_heapsort_bb7_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_7(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 of depth 1:
new bound:
Arg_7+2 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7-Arg_4-1 ]
eval_heapsort_8 [Arg_7-Arg_4-2 ]
eval_heapsort_bb1_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb2_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb3_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb4_in [Arg_7-Arg_4-1 ]
eval_heapsort_4 [Arg_7-Arg_4-1 ]
eval_heapsort_bb5_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb6_in [Arg_7-Arg_4-1 ]
eval_heapsort_bb7_in [Arg_7-Arg_4-1 ]
eval_heapsort_7 [Arg_7-Arg_4-2 ]
eval_heapsort_bb8_in [Arg_7-Arg_4-2 ]
eval_heapsort_bb9_in [Arg_7-Arg_4-2 ]
eval_heapsort_bb10_in [Arg_7-Arg_4-2 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
MPRF for transition 30:eval_heapsort_bb9_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb10_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7 of depth 1:
new bound:
Arg_7+2 {O(n)}
MPRF:
eval_heapsort_5 [Arg_7+1-Arg_4 ]
eval_heapsort_8 [Arg_7+1-Arg_4 ]
eval_heapsort_bb1_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb2_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb3_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb4_in [Arg_7+1-Arg_4 ]
eval_heapsort_4 [Arg_7+1-Arg_4 ]
eval_heapsort_bb5_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb6_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb7_in [Arg_7+1-Arg_4 ]
eval_heapsort_7 [Arg_7+1-Arg_4 ]
eval_heapsort_bb8_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb9_in [Arg_7+1-Arg_4 ]
eval_heapsort_bb10_in [Arg_7+1-Arg_6 ]
Show Graph
G
eval_heapsort_4
eval_heapsort_4
eval_heapsort_5
eval_heapsort_5
eval_heapsort_4->eval_heapsort_5
t₁₂
η (Arg_3) = nondef.0
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb5_in
eval_heapsort_bb5_in
eval_heapsort_5->eval_heapsort_bb5_in
t₁₃
η (Arg_5) = Arg_1
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_3
eval_heapsort_5->eval_heapsort_bb5_in
t₁₄
η (Arg_5) = Arg_4
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_3<=0
eval_heapsort_7
eval_heapsort_7
eval_heapsort_8
eval_heapsort_8
eval_heapsort_7->eval_heapsort_8
t₂₂
η (Arg_0) = nondef.1
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in
eval_heapsort_bb8_in
eval_heapsort_8->eval_heapsort_bb8_in
t₂₃
η (Arg_6) = Arg_2
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 0<Arg_0
eval_heapsort_8->eval_heapsort_bb8_in
t₂₄
η (Arg_6) = Arg_5
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_0<=0
eval_heapsort_bb0_in
eval_heapsort_bb0_in
eval_heapsort_bb1_in
eval_heapsort_bb1_in
eval_heapsort_bb0_in->eval_heapsort_bb1_in
t₁
η (Arg_4) = 1
eval_heapsort_bb10_in
eval_heapsort_bb10_in
eval_heapsort_bb11_in
eval_heapsort_bb11_in
eval_heapsort_bb10_in->eval_heapsort_bb11_in
t₃₂
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_6
eval_heapsort_bb10_in->eval_heapsort_bb1_in
t₃₃
η (Arg_4) = Arg_6
τ = 1<=Arg_7 && 3<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && Arg_4<=Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_6 && Arg_6<=Arg_7
eval_heapsort_stop
eval_heapsort_stop
eval_heapsort_bb11_in->eval_heapsort_stop
t₃₄
τ = 1<=Arg_4
eval_heapsort_bb1_in->eval_heapsort_bb11_in
t₃
τ = 1<=Arg_4 && Arg_7<=0
eval_heapsort_bb2_in
eval_heapsort_bb2_in
eval_heapsort_bb1_in->eval_heapsort_bb2_in
t₂
τ = 1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
eval_heapsort_bb3_in
eval_heapsort_bb3_in
eval_heapsort_bb2_in->eval_heapsort_bb3_in
t₅
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && 2*Arg_4<=Arg_7
eval_heapsort_bb2_in->eval_heapsort_bb5_in
t₆
η (Arg_1) = 2*Arg_4
η (Arg_2) = 2*Arg_4+1
η (Arg_5) = Arg_4
τ = 1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
eval_heapsort_bb4_in
eval_heapsort_bb4_in
eval_heapsort_bb3_in->eval_heapsort_bb4_in
t₉
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_1 && Arg_1<=Arg_7
eval_heapsort_bb4_in->eval_heapsort_4
t₁₀
τ = 2<=Arg_7 && 3<=Arg_4+Arg_7 && 1+Arg_4<=Arg_7 && 5<=Arg_2+Arg_7 && 4<=Arg_1+Arg_7 && Arg_1<=Arg_7 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb6_in
eval_heapsort_bb6_in
eval_heapsort_bb5_in->eval_heapsort_bb6_in
t₁₅
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_2<=Arg_7
eval_heapsort_bb5_in->eval_heapsort_bb8_in
t₁₆
η (Arg_6) = Arg_5
τ = 1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
eval_heapsort_bb7_in
eval_heapsort_bb7_in
eval_heapsort_bb6_in->eval_heapsort_bb7_in
t₁₉
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_2 && Arg_2<=Arg_7
eval_heapsort_bb7_in->eval_heapsort_7
t₂₀
τ = 3<=Arg_7 && 4<=Arg_5+Arg_7 && 4<=Arg_4+Arg_7 && 2+Arg_4<=Arg_7 && 6<=Arg_2+Arg_7 && Arg_2<=Arg_7 && 5<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1
eval_heapsort_bb8_in->eval_heapsort_bb11_in
t₂₇
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<=Arg_6 && Arg_6<=Arg_4
eval_heapsort_bb9_in
eval_heapsort_bb9_in
eval_heapsort_bb8_in->eval_heapsort_bb9_in
t₂₅
τ = 1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
eval_heapsort_bb9_in->eval_heapsort_bb10_in
t₃₀
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && 1<=Arg_4 && Arg_4<=Arg_7
eval_heapsort_bb9_in->eval_heapsort_bb11_in
t₂₉
τ = 2<=Arg_6 && 3<=Arg_5+Arg_6 && 3<=Arg_4+Arg_6 && 1+Arg_4<=Arg_6 && 5<=Arg_2+Arg_6 && 4<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_4
eval_heapsort_start
eval_heapsort_start
eval_heapsort_start->eval_heapsort_bb0_in
t₀
knowledge_propagation leads to new time bound 2*Arg_7+2 {O(n)} for transition 2:eval_heapsort_bb1_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_4 && 0<Arg_7 && 1<=Arg_4
knowledge_propagation leads to new time bound 2*Arg_7+2 {O(n)} for transition 6:eval_heapsort_bb2_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb5_in(Arg_0,2*Arg_4,2*Arg_4+1,Arg_3,Arg_4,Arg_4,Arg_6,Arg_7):|:1<=Arg_7 && 2<=Arg_4+Arg_7 && 1<=Arg_4 && Arg_7<2*Arg_4
knowledge_propagation leads to new time bound 4*Arg_7+5 {O(n)} for transition 16:eval_heapsort_bb5_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_5,Arg_7):|:1<=Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_7<Arg_2
knowledge_propagation leads to new time bound 6*Arg_7+11 {O(n)} for transition 25:eval_heapsort_bb8_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7) -> eval_heapsort_bb9_in(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4,Arg_5,Arg_6,Arg_7):|:1<=Arg_7 && 2<=Arg_6+Arg_7 && 2<=Arg_5+Arg_7 && 2<=Arg_4+Arg_7 && 4<=Arg_2+Arg_7 && 3<=Arg_1+Arg_7 && 1<=Arg_6 && 2<=Arg_5+Arg_6 && 2<=Arg_4+Arg_6 && Arg_4<=Arg_6 && 4<=Arg_2+Arg_6 && 3<=Arg_1+Arg_6 && Arg_5<=Arg_1 && 1<=Arg_5 && 2<=Arg_4+Arg_5 && Arg_4<=Arg_5 && 4<=Arg_2+Arg_5 && 3<=Arg_1+Arg_5 && 2+Arg_4<=Arg_2 && 1+Arg_4<=Arg_1 && 1<=Arg_4 && 4<=Arg_2+Arg_4 && 3<=Arg_1+Arg_4 && 3<=Arg_2 && 5<=Arg_1+Arg_2 && 2<=Arg_1 && Arg_4<Arg_6
All Bounds
Timebounds
Overall timebound:29*Arg_7+52 {O(n)}
12: eval_heapsort_4->eval_heapsort_5: Arg_7+2 {O(n)}
13: eval_heapsort_5->eval_heapsort_bb5_in: Arg_7+1 {O(n)}
14: eval_heapsort_5->eval_heapsort_bb5_in: Arg_7+2 {O(n)}
22: eval_heapsort_7->eval_heapsort_8: Arg_7+1 {O(n)}
23: eval_heapsort_8->eval_heapsort_bb8_in: Arg_7+5 {O(n)}
24: eval_heapsort_8->eval_heapsort_bb8_in: Arg_7+1 {O(n)}
1: eval_heapsort_bb0_in->eval_heapsort_bb1_in: 1 {O(1)}
32: eval_heapsort_bb10_in->eval_heapsort_bb11_in: 1 {O(1)}
33: eval_heapsort_bb10_in->eval_heapsort_bb1_in: 2*Arg_7+1 {O(n)}
34: eval_heapsort_bb11_in->eval_heapsort_stop: 1 {O(1)}
2: eval_heapsort_bb1_in->eval_heapsort_bb2_in: 2*Arg_7+2 {O(n)}
3: eval_heapsort_bb1_in->eval_heapsort_bb11_in: 1 {O(1)}
5: eval_heapsort_bb2_in->eval_heapsort_bb3_in: Arg_7+3 {O(n)}
6: eval_heapsort_bb2_in->eval_heapsort_bb5_in: 2*Arg_7+2 {O(n)}
9: eval_heapsort_bb3_in->eval_heapsort_bb4_in: Arg_7+1 {O(n)}
10: eval_heapsort_bb4_in->eval_heapsort_4: Arg_7+1 {O(n)}
15: eval_heapsort_bb5_in->eval_heapsort_bb6_in: Arg_7+2 {O(n)}
16: eval_heapsort_bb5_in->eval_heapsort_bb8_in: 4*Arg_7+5 {O(n)}
19: eval_heapsort_bb6_in->eval_heapsort_bb7_in: Arg_7+1 {O(n)}
20: eval_heapsort_bb7_in->eval_heapsort_7: Arg_7+2 {O(n)}
25: eval_heapsort_bb8_in->eval_heapsort_bb9_in: 6*Arg_7+11 {O(n)}
27: eval_heapsort_bb8_in->eval_heapsort_bb11_in: 1 {O(1)}
29: eval_heapsort_bb9_in->eval_heapsort_bb11_in: 1 {O(1)}
30: eval_heapsort_bb9_in->eval_heapsort_bb10_in: Arg_7+2 {O(n)}
0: eval_heapsort_start->eval_heapsort_bb0_in: 1 {O(1)}
Costbounds
Overall costbound: 29*Arg_7+52 {O(n)}
12: eval_heapsort_4->eval_heapsort_5: Arg_7+2 {O(n)}
13: eval_heapsort_5->eval_heapsort_bb5_in: Arg_7+1 {O(n)}
14: eval_heapsort_5->eval_heapsort_bb5_in: Arg_7+2 {O(n)}
22: eval_heapsort_7->eval_heapsort_8: Arg_7+1 {O(n)}
23: eval_heapsort_8->eval_heapsort_bb8_in: Arg_7+5 {O(n)}
24: eval_heapsort_8->eval_heapsort_bb8_in: Arg_7+1 {O(n)}
1: eval_heapsort_bb0_in->eval_heapsort_bb1_in: 1 {O(1)}
32: eval_heapsort_bb10_in->eval_heapsort_bb11_in: 1 {O(1)}
33: eval_heapsort_bb10_in->eval_heapsort_bb1_in: 2*Arg_7+1 {O(n)}
34: eval_heapsort_bb11_in->eval_heapsort_stop: 1 {O(1)}
2: eval_heapsort_bb1_in->eval_heapsort_bb2_in: 2*Arg_7+2 {O(n)}
3: eval_heapsort_bb1_in->eval_heapsort_bb11_in: 1 {O(1)}
5: eval_heapsort_bb2_in->eval_heapsort_bb3_in: Arg_7+3 {O(n)}
6: eval_heapsort_bb2_in->eval_heapsort_bb5_in: 2*Arg_7+2 {O(n)}
9: eval_heapsort_bb3_in->eval_heapsort_bb4_in: Arg_7+1 {O(n)}
10: eval_heapsort_bb4_in->eval_heapsort_4: Arg_7+1 {O(n)}
15: eval_heapsort_bb5_in->eval_heapsort_bb6_in: Arg_7+2 {O(n)}
16: eval_heapsort_bb5_in->eval_heapsort_bb8_in: 4*Arg_7+5 {O(n)}
19: eval_heapsort_bb6_in->eval_heapsort_bb7_in: Arg_7+1 {O(n)}
20: eval_heapsort_bb7_in->eval_heapsort_7: Arg_7+2 {O(n)}
25: eval_heapsort_bb8_in->eval_heapsort_bb9_in: 6*Arg_7+11 {O(n)}
27: eval_heapsort_bb8_in->eval_heapsort_bb11_in: 1 {O(1)}
29: eval_heapsort_bb9_in->eval_heapsort_bb11_in: 1 {O(1)}
30: eval_heapsort_bb9_in->eval_heapsort_bb10_in: Arg_7+2 {O(n)}
0: eval_heapsort_start->eval_heapsort_bb0_in: 1 {O(1)}
Sizebounds
12: eval_heapsort_4->eval_heapsort_5, Arg_1: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
12: eval_heapsort_4->eval_heapsort_5, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
12: eval_heapsort_4->eval_heapsort_5, Arg_4: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
12: eval_heapsort_4->eval_heapsort_5, Arg_5: 2*2^(Arg_7+3)*Arg_7+20*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7+Arg_5 {O(EXP)}
12: eval_heapsort_4->eval_heapsort_5, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7+Arg_6 {O(EXP)}
12: eval_heapsort_4->eval_heapsort_5, Arg_7: Arg_7 {O(n)}
13: eval_heapsort_5->eval_heapsort_bb5_in, Arg_1: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
13: eval_heapsort_5->eval_heapsort_bb5_in, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
13: eval_heapsort_5->eval_heapsort_bb5_in, Arg_4: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
13: eval_heapsort_5->eval_heapsort_bb5_in, Arg_5: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
13: eval_heapsort_5->eval_heapsort_bb5_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7+Arg_6 {O(EXP)}
13: eval_heapsort_5->eval_heapsort_bb5_in, Arg_7: Arg_7 {O(n)}
14: eval_heapsort_5->eval_heapsort_bb5_in, Arg_1: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
14: eval_heapsort_5->eval_heapsort_bb5_in, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
14: eval_heapsort_5->eval_heapsort_bb5_in, Arg_4: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
14: eval_heapsort_5->eval_heapsort_bb5_in, Arg_5: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
14: eval_heapsort_5->eval_heapsort_bb5_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7+Arg_6 {O(EXP)}
14: eval_heapsort_5->eval_heapsort_bb5_in, Arg_7: Arg_7 {O(n)}
22: eval_heapsort_7->eval_heapsort_8, Arg_1: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
22: eval_heapsort_7->eval_heapsort_8, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
22: eval_heapsort_7->eval_heapsort_8, Arg_4: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
22: eval_heapsort_7->eval_heapsort_8, Arg_5: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
22: eval_heapsort_7->eval_heapsort_8, Arg_6: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8+2*Arg_6 {O(EXP)}
22: eval_heapsort_7->eval_heapsort_8, Arg_7: Arg_7 {O(n)}
23: eval_heapsort_8->eval_heapsort_bb8_in, Arg_1: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
23: eval_heapsort_8->eval_heapsort_bb8_in, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
23: eval_heapsort_8->eval_heapsort_bb8_in, Arg_4: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
23: eval_heapsort_8->eval_heapsort_bb8_in, Arg_5: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
23: eval_heapsort_8->eval_heapsort_bb8_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
23: eval_heapsort_8->eval_heapsort_bb8_in, Arg_7: Arg_7 {O(n)}
24: eval_heapsort_8->eval_heapsort_bb8_in, Arg_1: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
24: eval_heapsort_8->eval_heapsort_bb8_in, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
24: eval_heapsort_8->eval_heapsort_bb8_in, Arg_4: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
24: eval_heapsort_8->eval_heapsort_bb8_in, Arg_5: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
24: eval_heapsort_8->eval_heapsort_bb8_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
24: eval_heapsort_8->eval_heapsort_bb8_in, Arg_7: Arg_7 {O(n)}
1: eval_heapsort_bb0_in->eval_heapsort_bb1_in, Arg_0: Arg_0 {O(n)}
1: eval_heapsort_bb0_in->eval_heapsort_bb1_in, Arg_1: Arg_1 {O(n)}
1: eval_heapsort_bb0_in->eval_heapsort_bb1_in, Arg_2: Arg_2 {O(n)}
1: eval_heapsort_bb0_in->eval_heapsort_bb1_in, Arg_3: Arg_3 {O(n)}
1: eval_heapsort_bb0_in->eval_heapsort_bb1_in, Arg_4: 1 {O(1)}
1: eval_heapsort_bb0_in->eval_heapsort_bb1_in, Arg_5: Arg_5 {O(n)}
1: eval_heapsort_bb0_in->eval_heapsort_bb1_in, Arg_6: Arg_6 {O(n)}
1: eval_heapsort_bb0_in->eval_heapsort_bb1_in, Arg_7: Arg_7 {O(n)}
32: eval_heapsort_bb10_in->eval_heapsort_bb11_in, Arg_1: 2^(Arg_7+3)*32+2^(Arg_7+3)*8*Arg_7 {O(EXP)}
32: eval_heapsort_bb10_in->eval_heapsort_bb11_in, Arg_2: 2*2^(Arg_7+3)*Arg_7+24*2^(Arg_7+3)+2^(Arg_7+3)*4*Arg_7+2 {O(EXP)}
32: eval_heapsort_bb10_in->eval_heapsort_bb11_in, Arg_4: 28*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7+2^(Arg_7+3)*4*Arg_7 {O(EXP)}
32: eval_heapsort_bb10_in->eval_heapsort_bb11_in, Arg_5: 2*2^(Arg_7+3)*Arg_7+20*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7 {O(EXP)}
32: eval_heapsort_bb10_in->eval_heapsort_bb11_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
32: eval_heapsort_bb10_in->eval_heapsort_bb11_in, Arg_7: Arg_7 {O(n)}
33: eval_heapsort_bb10_in->eval_heapsort_bb1_in, Arg_1: 2^(Arg_7+3)*32+2^(Arg_7+3)*8*Arg_7 {O(EXP)}
33: eval_heapsort_bb10_in->eval_heapsort_bb1_in, Arg_2: 2*2^(Arg_7+3)*Arg_7+24*2^(Arg_7+3)+2^(Arg_7+3)*4*Arg_7+2 {O(EXP)}
33: eval_heapsort_bb10_in->eval_heapsort_bb1_in, Arg_4: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
33: eval_heapsort_bb10_in->eval_heapsort_bb1_in, Arg_5: 2*2^(Arg_7+3)*Arg_7+20*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7 {O(EXP)}
33: eval_heapsort_bb10_in->eval_heapsort_bb1_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
33: eval_heapsort_bb10_in->eval_heapsort_bb1_in, Arg_7: Arg_7 {O(n)}
34: eval_heapsort_bb11_in->eval_heapsort_stop, Arg_1: 18*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*4*Arg_7+2^(Arg_7+3)*88+Arg_1 {O(EXP)}
34: eval_heapsort_bb11_in->eval_heapsort_stop, Arg_2: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*3*Arg_7+2^(Arg_7+3)*4*Arg_7+2^(Arg_7+3)*68+2^(Arg_7+3)*8*Arg_7+Arg_2+6 {O(EXP)}
34: eval_heapsort_bb11_in->eval_heapsort_stop, Arg_4: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*3*Arg_7+2^(Arg_7+3)*6*Arg_7+2^(Arg_7+3)*76+2^(Arg_7+3)*8*Arg_7+1 {O(EXP)}
34: eval_heapsort_bb11_in->eval_heapsort_stop, Arg_5: 12*2^(Arg_7+3)*Arg_7+2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*56+Arg_5 {O(EXP)}
34: eval_heapsort_bb11_in->eval_heapsort_stop, Arg_6: 16*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7+2^(Arg_7+3)*Arg_7+Arg_6 {O(EXP)}
34: eval_heapsort_bb11_in->eval_heapsort_stop, Arg_7: 5*Arg_7 {O(n)}
2: eval_heapsort_bb1_in->eval_heapsort_bb2_in, Arg_1: 2^(Arg_7+3)*32+2^(Arg_7+3)*8*Arg_7+Arg_1 {O(EXP)}
2: eval_heapsort_bb1_in->eval_heapsort_bb2_in, Arg_2: 2*2^(Arg_7+3)*Arg_7+24*2^(Arg_7+3)+2^(Arg_7+3)*4*Arg_7+Arg_2+2 {O(EXP)}
2: eval_heapsort_bb1_in->eval_heapsort_bb2_in, Arg_4: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
2: eval_heapsort_bb1_in->eval_heapsort_bb2_in, Arg_5: 2*2^(Arg_7+3)*Arg_7+20*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7+Arg_5 {O(EXP)}
2: eval_heapsort_bb1_in->eval_heapsort_bb2_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7+Arg_6 {O(EXP)}
2: eval_heapsort_bb1_in->eval_heapsort_bb2_in, Arg_7: Arg_7 {O(n)}
3: eval_heapsort_bb1_in->eval_heapsort_bb11_in, Arg_0: Arg_0 {O(n)}
3: eval_heapsort_bb1_in->eval_heapsort_bb11_in, Arg_1: Arg_1 {O(n)}
3: eval_heapsort_bb1_in->eval_heapsort_bb11_in, Arg_2: Arg_2 {O(n)}
3: eval_heapsort_bb1_in->eval_heapsort_bb11_in, Arg_3: Arg_3 {O(n)}
3: eval_heapsort_bb1_in->eval_heapsort_bb11_in, Arg_4: 1 {O(1)}
3: eval_heapsort_bb1_in->eval_heapsort_bb11_in, Arg_5: Arg_5 {O(n)}
3: eval_heapsort_bb1_in->eval_heapsort_bb11_in, Arg_6: Arg_6 {O(n)}
3: eval_heapsort_bb1_in->eval_heapsort_bb11_in, Arg_7: Arg_7 {O(n)}
5: eval_heapsort_bb2_in->eval_heapsort_bb3_in, Arg_1: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
5: eval_heapsort_bb2_in->eval_heapsort_bb3_in, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
5: eval_heapsort_bb2_in->eval_heapsort_bb3_in, Arg_4: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
5: eval_heapsort_bb2_in->eval_heapsort_bb3_in, Arg_5: 2*2^(Arg_7+3)*Arg_7+20*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7+Arg_5 {O(EXP)}
5: eval_heapsort_bb2_in->eval_heapsort_bb3_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7+Arg_6 {O(EXP)}
5: eval_heapsort_bb2_in->eval_heapsort_bb3_in, Arg_7: Arg_7 {O(n)}
6: eval_heapsort_bb2_in->eval_heapsort_bb5_in, Arg_1: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
6: eval_heapsort_bb2_in->eval_heapsort_bb5_in, Arg_2: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8+2 {O(EXP)}
6: eval_heapsort_bb2_in->eval_heapsort_bb5_in, Arg_4: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
6: eval_heapsort_bb2_in->eval_heapsort_bb5_in, Arg_5: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
6: eval_heapsort_bb2_in->eval_heapsort_bb5_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7+Arg_6 {O(EXP)}
6: eval_heapsort_bb2_in->eval_heapsort_bb5_in, Arg_7: Arg_7 {O(n)}
9: eval_heapsort_bb3_in->eval_heapsort_bb4_in, Arg_1: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
9: eval_heapsort_bb3_in->eval_heapsort_bb4_in, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
9: eval_heapsort_bb3_in->eval_heapsort_bb4_in, Arg_4: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
9: eval_heapsort_bb3_in->eval_heapsort_bb4_in, Arg_5: 2*2^(Arg_7+3)*Arg_7+20*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7+Arg_5 {O(EXP)}
9: eval_heapsort_bb3_in->eval_heapsort_bb4_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7+Arg_6 {O(EXP)}
9: eval_heapsort_bb3_in->eval_heapsort_bb4_in, Arg_7: Arg_7 {O(n)}
10: eval_heapsort_bb4_in->eval_heapsort_4, Arg_1: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
10: eval_heapsort_bb4_in->eval_heapsort_4, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
10: eval_heapsort_bb4_in->eval_heapsort_4, Arg_4: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
10: eval_heapsort_bb4_in->eval_heapsort_4, Arg_5: 2*2^(Arg_7+3)*Arg_7+20*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7+Arg_5 {O(EXP)}
10: eval_heapsort_bb4_in->eval_heapsort_4, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7+Arg_6 {O(EXP)}
10: eval_heapsort_bb4_in->eval_heapsort_4, Arg_7: Arg_7 {O(n)}
15: eval_heapsort_bb5_in->eval_heapsort_bb6_in, Arg_1: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
15: eval_heapsort_bb5_in->eval_heapsort_bb6_in, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
15: eval_heapsort_bb5_in->eval_heapsort_bb6_in, Arg_4: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
15: eval_heapsort_bb5_in->eval_heapsort_bb6_in, Arg_5: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
15: eval_heapsort_bb5_in->eval_heapsort_bb6_in, Arg_6: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8+2*Arg_6 {O(EXP)}
15: eval_heapsort_bb5_in->eval_heapsort_bb6_in, Arg_7: Arg_7 {O(n)}
16: eval_heapsort_bb5_in->eval_heapsort_bb8_in, Arg_1: 16*2^(Arg_7+3)+2^(Arg_7+3)*4*Arg_7 {O(EXP)}
16: eval_heapsort_bb5_in->eval_heapsort_bb8_in, Arg_2: 16*2^(Arg_7+3)+2^(Arg_7+3)*4*Arg_7+2 {O(EXP)}
16: eval_heapsort_bb5_in->eval_heapsort_bb8_in, Arg_4: 12*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7 {O(EXP)}
16: eval_heapsort_bb5_in->eval_heapsort_bb8_in, Arg_5: 12*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7 {O(EXP)}
16: eval_heapsort_bb5_in->eval_heapsort_bb8_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
16: eval_heapsort_bb5_in->eval_heapsort_bb8_in, Arg_7: Arg_7 {O(n)}
19: eval_heapsort_bb6_in->eval_heapsort_bb7_in, Arg_1: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
19: eval_heapsort_bb6_in->eval_heapsort_bb7_in, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
19: eval_heapsort_bb6_in->eval_heapsort_bb7_in, Arg_4: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
19: eval_heapsort_bb6_in->eval_heapsort_bb7_in, Arg_5: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
19: eval_heapsort_bb6_in->eval_heapsort_bb7_in, Arg_6: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8+2*Arg_6 {O(EXP)}
19: eval_heapsort_bb6_in->eval_heapsort_bb7_in, Arg_7: Arg_7 {O(n)}
20: eval_heapsort_bb7_in->eval_heapsort_7, Arg_1: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
20: eval_heapsort_bb7_in->eval_heapsort_7, Arg_2: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
20: eval_heapsort_bb7_in->eval_heapsort_7, Arg_4: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
20: eval_heapsort_bb7_in->eval_heapsort_7, Arg_5: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
20: eval_heapsort_bb7_in->eval_heapsort_7, Arg_6: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8+2*Arg_6 {O(EXP)}
20: eval_heapsort_bb7_in->eval_heapsort_7, Arg_7: Arg_7 {O(n)}
25: eval_heapsort_bb8_in->eval_heapsort_bb9_in, Arg_1: 2^(Arg_7+3)*32+2^(Arg_7+3)*8*Arg_7 {O(EXP)}
25: eval_heapsort_bb8_in->eval_heapsort_bb9_in, Arg_2: 2*2^(Arg_7+3)*Arg_7+24*2^(Arg_7+3)+2^(Arg_7+3)*4*Arg_7+2 {O(EXP)}
25: eval_heapsort_bb8_in->eval_heapsort_bb9_in, Arg_4: 28*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7+2^(Arg_7+3)*4*Arg_7 {O(EXP)}
25: eval_heapsort_bb8_in->eval_heapsort_bb9_in, Arg_5: 2*2^(Arg_7+3)*Arg_7+20*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7 {O(EXP)}
25: eval_heapsort_bb8_in->eval_heapsort_bb9_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
25: eval_heapsort_bb8_in->eval_heapsort_bb9_in, Arg_7: Arg_7 {O(n)}
27: eval_heapsort_bb8_in->eval_heapsort_bb11_in, Arg_1: 2*2^(Arg_7+3)*Arg_7+24*2^(Arg_7+3)+2^(Arg_7+3)*4*Arg_7 {O(EXP)}
27: eval_heapsort_bb8_in->eval_heapsort_bb11_in, Arg_2: 20*2^(Arg_7+3)+2^(Arg_7+3)*4*Arg_7+2^(Arg_7+3)*Arg_7+2 {O(EXP)}
27: eval_heapsort_bb8_in->eval_heapsort_bb11_in, Arg_4: 2*2^(Arg_7+3)*Arg_7+20*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7 {O(EXP)}
27: eval_heapsort_bb8_in->eval_heapsort_bb11_in, Arg_5: 16*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7+2^(Arg_7+3)*Arg_7 {O(EXP)}
27: eval_heapsort_bb8_in->eval_heapsort_bb11_in, Arg_6: 2*2^(Arg_7+3)*Arg_7+2^(Arg_7+3)*8 {O(EXP)}
27: eval_heapsort_bb8_in->eval_heapsort_bb11_in, Arg_7: 2*Arg_7 {O(n)}
29: eval_heapsort_bb9_in->eval_heapsort_bb11_in, Arg_1: 2^(Arg_7+3)*32+2^(Arg_7+3)*8*Arg_7 {O(EXP)}
29: eval_heapsort_bb9_in->eval_heapsort_bb11_in, Arg_2: 2*2^(Arg_7+3)*Arg_7+24*2^(Arg_7+3)+2^(Arg_7+3)*4*Arg_7+2 {O(EXP)}
29: eval_heapsort_bb9_in->eval_heapsort_bb11_in, Arg_4: 28*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7+2^(Arg_7+3)*4*Arg_7 {O(EXP)}
29: eval_heapsort_bb9_in->eval_heapsort_bb11_in, Arg_5: 2*2^(Arg_7+3)*Arg_7+20*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7 {O(EXP)}
29: eval_heapsort_bb9_in->eval_heapsort_bb11_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
29: eval_heapsort_bb9_in->eval_heapsort_bb11_in, Arg_7: Arg_7 {O(n)}
30: eval_heapsort_bb9_in->eval_heapsort_bb10_in, Arg_1: 2^(Arg_7+3)*32+2^(Arg_7+3)*8*Arg_7 {O(EXP)}
30: eval_heapsort_bb9_in->eval_heapsort_bb10_in, Arg_2: 2*2^(Arg_7+3)*Arg_7+24*2^(Arg_7+3)+2^(Arg_7+3)*4*Arg_7+2 {O(EXP)}
30: eval_heapsort_bb9_in->eval_heapsort_bb10_in, Arg_4: 28*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7+2^(Arg_7+3)*4*Arg_7 {O(EXP)}
30: eval_heapsort_bb9_in->eval_heapsort_bb10_in, Arg_5: 2*2^(Arg_7+3)*Arg_7+20*2^(Arg_7+3)+2^(Arg_7+3)*3*Arg_7 {O(EXP)}
30: eval_heapsort_bb9_in->eval_heapsort_bb10_in, Arg_6: 2^(Arg_7+3)*4+2^(Arg_7+3)*Arg_7 {O(EXP)}
30: eval_heapsort_bb9_in->eval_heapsort_bb10_in, Arg_7: Arg_7 {O(n)}
0: eval_heapsort_start->eval_heapsort_bb0_in, Arg_0: Arg_0 {O(n)}
0: eval_heapsort_start->eval_heapsort_bb0_in, Arg_1: Arg_1 {O(n)}
0: eval_heapsort_start->eval_heapsort_bb0_in, Arg_2: Arg_2 {O(n)}
0: eval_heapsort_start->eval_heapsort_bb0_in, Arg_3: Arg_3 {O(n)}
0: eval_heapsort_start->eval_heapsort_bb0_in, Arg_4: Arg_4 {O(n)}
0: eval_heapsort_start->eval_heapsort_bb0_in, Arg_5: Arg_5 {O(n)}
0: eval_heapsort_start->eval_heapsort_bb0_in, Arg_6: Arg_6 {O(n)}
0: eval_heapsort_start->eval_heapsort_bb0_in, Arg_7: Arg_7 {O(n)}