Start: f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: f0, f1, f2, f3, f4
Transitions:
0:f0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
1:f1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f1(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4):|:Arg_1+1<=Arg_0
2:f1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f2(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4):|:Arg_0<=Arg_1
3:f2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f2(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4):|:1<=Arg_2
4:f2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f3(Arg_0,Arg_1,Arg_2,Arg_2,Arg_4):|:Arg_2<=0
5:f3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f3(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3+1<=Arg_0
6:f3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_3):|:Arg_0<=Arg_3
7:f4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1):|:1<=Arg_4
Found invariant Arg_3<=Arg_1 && Arg_2<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_0<=Arg_1 for location f3
Found invariant Arg_2<=Arg_1 && Arg_0<=Arg_1 for location f2
Found invariant Arg_4<=Arg_3 && Arg_4<=Arg_1 && Arg_2<=Arg_4 && Arg_3<=Arg_1 && Arg_2<=Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_0<=Arg_1 for location f4
Start: f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3, Arg_4
Temp_Vars:
Locations: f0, f1, f2, f3, f4
Transitions:
0:f0(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4)
1:f1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f1(Arg_0,Arg_1+1,Arg_2,Arg_3,Arg_4):|:Arg_1+1<=Arg_0
2:f1(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f2(Arg_0,Arg_1,Arg_1,Arg_3,Arg_4):|:Arg_0<=Arg_1
3:f2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f2(Arg_0,Arg_1,Arg_2-1,Arg_3,Arg_4):|:Arg_2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_2
4:f2(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f3(Arg_0,Arg_1,Arg_2,Arg_2,Arg_4):|:Arg_2<=Arg_1 && Arg_0<=Arg_1 && Arg_2<=0
5:f3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f3(Arg_0,Arg_1,Arg_2,Arg_3+1,Arg_4):|:Arg_3<=Arg_1 && Arg_2<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_0<=Arg_1 && Arg_3+1<=Arg_0
6:f3(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_3):|:Arg_3<=Arg_1 && Arg_2<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=Arg_3
7:f4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4) -> f4(Arg_0,Arg_1,Arg_2,Arg_3,Arg_4-1):|:Arg_4<=Arg_3 && Arg_4<=Arg_1 && Arg_2<=Arg_4 && Arg_3<=Arg_1 && Arg_2<=Arg_3 && Arg_0<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_0<=Arg_1 && 1<=Arg_4
new bound:
Arg_0+Arg_1 {O(n)}
MPRF:
f1 [Arg_0-Arg_1 ]
new bound:
3*Arg_1+Arg_0 {O(n)}
MPRF:
f2 [Arg_2 ]
new bound:
12*Arg_1+4*Arg_0+1 {O(n)}
MPRF:
f3 [Arg_1+1-Arg_3 ]
new bound:
24*Arg_1+8*Arg_0+1 {O(n)}
MPRF:
f4 [Arg_4 ]
Overall timebound:14*Arg_0+40*Arg_1+6 {O(n)}
0: f0->f1: 1 {O(1)}
1: f1->f1: Arg_0+Arg_1 {O(n)}
2: f1->f2: 1 {O(1)}
3: f2->f2: 3*Arg_1+Arg_0 {O(n)}
4: f2->f3: 1 {O(1)}
5: f3->f3: 12*Arg_1+4*Arg_0+1 {O(n)}
6: f3->f4: 1 {O(1)}
7: f4->f4: 24*Arg_1+8*Arg_0+1 {O(n)}
Overall costbound: 14*Arg_0+40*Arg_1+6 {O(n)}
0: f0->f1: 1 {O(1)}
1: f1->f1: Arg_0+Arg_1 {O(n)}
2: f1->f2: 1 {O(1)}
3: f2->f2: 3*Arg_1+Arg_0 {O(n)}
4: f2->f3: 1 {O(1)}
5: f3->f3: 12*Arg_1+4*Arg_0+1 {O(n)}
6: f3->f4: 1 {O(1)}
7: f4->f4: 24*Arg_1+8*Arg_0+1 {O(n)}
0: f0->f1, Arg_0: Arg_0 {O(n)}
0: f0->f1, Arg_1: Arg_1 {O(n)}
0: f0->f1, Arg_2: Arg_2 {O(n)}
0: f0->f1, Arg_3: Arg_3 {O(n)}
0: f0->f1, Arg_4: Arg_4 {O(n)}
1: f1->f1, Arg_0: Arg_0 {O(n)}
1: f1->f1, Arg_1: 2*Arg_1+Arg_0 {O(n)}
1: f1->f1, Arg_2: Arg_2 {O(n)}
1: f1->f1, Arg_3: Arg_3 {O(n)}
1: f1->f1, Arg_4: Arg_4 {O(n)}
2: f1->f2, Arg_0: 2*Arg_0 {O(n)}
2: f1->f2, Arg_1: 3*Arg_1+Arg_0 {O(n)}
2: f1->f2, Arg_2: 3*Arg_1+Arg_0 {O(n)}
2: f1->f2, Arg_3: 2*Arg_3 {O(n)}
2: f1->f2, Arg_4: 2*Arg_4 {O(n)}
3: f2->f2, Arg_0: 2*Arg_0 {O(n)}
3: f2->f2, Arg_1: 3*Arg_1+Arg_0 {O(n)}
3: f2->f2, Arg_2: 3*Arg_1+Arg_0 {O(n)}
3: f2->f2, Arg_3: 2*Arg_3 {O(n)}
3: f2->f2, Arg_4: 2*Arg_4 {O(n)}
4: f2->f3, Arg_0: 4*Arg_0 {O(n)}
4: f2->f3, Arg_1: 2*Arg_0+6*Arg_1 {O(n)}
4: f2->f3, Arg_2: 2*Arg_0+6*Arg_1 {O(n)}
4: f2->f3, Arg_3: 2*Arg_0+6*Arg_1 {O(n)}
4: f2->f3, Arg_4: 4*Arg_4 {O(n)}
5: f3->f3, Arg_0: 4*Arg_0 {O(n)}
5: f3->f3, Arg_1: 2*Arg_0+6*Arg_1 {O(n)}
5: f3->f3, Arg_2: 2*Arg_0+6*Arg_1 {O(n)}
5: f3->f3, Arg_3: 18*Arg_1+6*Arg_0+1 {O(n)}
5: f3->f3, Arg_4: 4*Arg_4 {O(n)}
6: f3->f4, Arg_0: 8*Arg_0 {O(n)}
6: f3->f4, Arg_1: 12*Arg_1+4*Arg_0 {O(n)}
6: f3->f4, Arg_2: 12*Arg_1+4*Arg_0 {O(n)}
6: f3->f4, Arg_3: 24*Arg_1+8*Arg_0+1 {O(n)}
6: f3->f4, Arg_4: 24*Arg_1+8*Arg_0+1 {O(n)}
7: f4->f4, Arg_0: 8*Arg_0 {O(n)}
7: f4->f4, Arg_1: 12*Arg_1+4*Arg_0 {O(n)}
7: f4->f4, Arg_2: 12*Arg_1+4*Arg_0 {O(n)}
7: f4->f4, Arg_3: 24*Arg_1+8*Arg_0+1 {O(n)}
7: f4->f4, Arg_4: 24*Arg_1+8*Arg_0+1 {O(n)}