Start: n_f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_f0, n_f1___1, n_f1___2, n_f1___3
Transitions:
0:n_f0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___3(Arg_0,Arg_1,2,Arg_3):|:0<=Arg_0 && 0<=Arg_1 && Arg_1<=3 && Arg_0<=3
1:n_f1___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___1(Arg_0,Arg_1-1,Arg_2,Arg_1-1):|:Arg_2<=2 && 2<=Arg_2 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=3 && Arg_1<=3 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0+Arg_2<=2*Arg_1 && 2+Arg_0+Arg_2<=2*Arg_1
2:n_f1___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___2(Arg_0,Arg_1+1,Arg_2,Arg_1+1):|:Arg_2<=2 && 2<=Arg_2 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=3 && Arg_1<=3 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 2*Arg_1<=1+Arg_0+Arg_2 && 1+2*Arg_1<=Arg_0+Arg_2
3:n_f1___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___1(Arg_0,Arg_1-1,Arg_2,Arg_1-1):|:Arg_2<=2 && 2<=Arg_2 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=3 && Arg_1<=3 && 2+Arg_0+Arg_2<=2*Arg_1
4:n_f1___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___2(Arg_0,Arg_1+1,Arg_2,Arg_1+1):|:Arg_2<=2 && 2<=Arg_2 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=3 && Arg_1<=3 && 1+2*Arg_1<=Arg_0+Arg_2
Found invariant Arg_3<=3 && Arg_3<=1+Arg_2 && Arg_2+Arg_3<=5 && Arg_3<=Arg_1 && Arg_1+Arg_3<=6 && Arg_3<=2+Arg_0 && Arg_0+Arg_3<=6 && 1<=Arg_3 && 3<=Arg_2+Arg_3 && Arg_2<=1+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=2+Arg_3 && Arg_2<=2 && Arg_2<=1+Arg_1 && Arg_1+Arg_2<=5 && Arg_2<=2+Arg_0 && Arg_0+Arg_2<=5 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=3 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=6 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=2+Arg_1 && Arg_0<=3 && 0<=Arg_0 for location n_f1___2
Found invariant Arg_2<=2 && Arg_2<=2+Arg_1 && Arg_1+Arg_2<=5 && Arg_2<=2+Arg_0 && Arg_0+Arg_2<=5 && 2<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=6 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=3+Arg_1 && Arg_0<=3 && 0<=Arg_0 for location n_f1___3
Found invariant Arg_3<=2 && Arg_3<=Arg_2 && Arg_2+Arg_3<=4 && Arg_3<=Arg_1 && Arg_1+Arg_3<=4 && Arg_3<=2+Arg_0 && Arg_0+Arg_3<=4 && 1<=Arg_3 && 3<=Arg_2+Arg_3 && Arg_2<=1+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=2 && Arg_2<=1+Arg_1 && Arg_1+Arg_2<=4 && Arg_2<=2+Arg_0 && Arg_0+Arg_2<=4 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=2 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=2 && 0<=Arg_0 for location n_f1___1
Start: n_f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: n_f0, n_f1___1, n_f1___2, n_f1___3
Transitions:
0:n_f0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___3(Arg_0,Arg_1,2,Arg_3):|:0<=Arg_0 && 0<=Arg_1 && Arg_1<=3 && Arg_0<=3
1:n_f1___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___1(Arg_0,Arg_1-1,Arg_2,Arg_1-1):|:Arg_3<=2 && Arg_3<=Arg_2 && Arg_2+Arg_3<=4 && Arg_3<=Arg_1 && Arg_1+Arg_3<=4 && Arg_3<=2+Arg_0 && Arg_0+Arg_3<=4 && 1<=Arg_3 && 3<=Arg_2+Arg_3 && Arg_2<=1+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=2 && Arg_2<=1+Arg_1 && Arg_1+Arg_2<=4 && Arg_2<=2+Arg_0 && Arg_0+Arg_2<=4 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=2 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=2 && 0<=Arg_0 && Arg_2<=2 && 2<=Arg_2 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=3 && Arg_1<=3 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0+Arg_2<=2*Arg_1 && 2+Arg_0+Arg_2<=2*Arg_1
2:n_f1___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___2(Arg_0,Arg_1+1,Arg_2,Arg_1+1):|:Arg_3<=3 && Arg_3<=1+Arg_2 && Arg_2+Arg_3<=5 && Arg_3<=Arg_1 && Arg_1+Arg_3<=6 && Arg_3<=2+Arg_0 && Arg_0+Arg_3<=6 && 1<=Arg_3 && 3<=Arg_2+Arg_3 && Arg_2<=1+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=2+Arg_3 && Arg_2<=2 && Arg_2<=1+Arg_1 && Arg_1+Arg_2<=5 && Arg_2<=2+Arg_0 && Arg_0+Arg_2<=5 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=3 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=6 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=2+Arg_1 && Arg_0<=3 && 0<=Arg_0 && Arg_2<=2 && 2<=Arg_2 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=3 && Arg_1<=3 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && 2*Arg_1<=1+Arg_0+Arg_2 && 1+2*Arg_1<=Arg_0+Arg_2
3:n_f1___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___1(Arg_0,Arg_1-1,Arg_2,Arg_1-1):|:Arg_2<=2 && Arg_2<=2+Arg_1 && Arg_1+Arg_2<=5 && Arg_2<=2+Arg_0 && Arg_0+Arg_2<=5 && 2<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=6 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=3+Arg_1 && Arg_0<=3 && 0<=Arg_0 && Arg_2<=2 && 2<=Arg_2 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=3 && Arg_1<=3 && 2+Arg_0+Arg_2<=2*Arg_1
4:n_f1___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___2(Arg_0,Arg_1+1,Arg_2,Arg_1+1):|:Arg_2<=2 && Arg_2<=2+Arg_1 && Arg_1+Arg_2<=5 && Arg_2<=2+Arg_0 && Arg_0+Arg_2<=5 && 2<=Arg_2 && 2<=Arg_1+Arg_2 && Arg_1<=1+Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=1+Arg_2 && Arg_1<=3 && Arg_1<=3+Arg_0 && Arg_0+Arg_1<=6 && 0<=Arg_1 && 0<=Arg_0+Arg_1 && Arg_0<=3+Arg_1 && Arg_0<=3 && 0<=Arg_0 && Arg_2<=2 && 2<=Arg_2 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=3 && Arg_1<=3 && 1+2*Arg_1<=Arg_0+Arg_2
knowledge_propagation leads to new time bound 1 {O(1)} for transition 1:n_f1___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f1___1(Arg_0,Arg_1-1,Arg_2,Arg_1-1):|:Arg_3<=2 && Arg_3<=Arg_2 && Arg_2+Arg_3<=4 && Arg_3<=Arg_1 && Arg_1+Arg_3<=4 && Arg_3<=2+Arg_0 && Arg_0+Arg_3<=4 && 1<=Arg_3 && 3<=Arg_2+Arg_3 && Arg_2<=1+Arg_3 && 2<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && Arg_0<=Arg_3 && Arg_2<=2 && Arg_2<=1+Arg_1 && Arg_1+Arg_2<=4 && Arg_2<=2+Arg_0 && Arg_0+Arg_2<=4 && 2<=Arg_2 && 3<=Arg_1+Arg_2 && Arg_1<=Arg_2 && 2<=Arg_0+Arg_2 && Arg_0<=Arg_2 && Arg_1<=2 && Arg_1<=2+Arg_0 && Arg_0+Arg_1<=4 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && Arg_0<=Arg_1 && Arg_0<=2 && 0<=Arg_0 && Arg_2<=2 && 2<=Arg_2 && 0<=Arg_0 && 0<=Arg_1 && Arg_0<=3 && Arg_1<=3 && Arg_1<=Arg_3 && Arg_3<=Arg_1 && Arg_0+Arg_2<=2*Arg_1 && 2+Arg_0+Arg_2<=2*Arg_1
new bound:
7 {O(1)}
MPRF:
n_f1___2 [4-Arg_3 ]
Overall timebound:11 {O(1)}
0: n_f0->n_f1___3: 1 {O(1)}
1: n_f1___1->n_f1___1: 1 {O(1)}
2: n_f1___2->n_f1___2: 7 {O(1)}
3: n_f1___3->n_f1___1: 1 {O(1)}
4: n_f1___3->n_f1___2: 1 {O(1)}
Overall costbound: 11 {O(1)}
0: n_f0->n_f1___3: 1 {O(1)}
1: n_f1___1->n_f1___1: 1 {O(1)}
2: n_f1___2->n_f1___2: 7 {O(1)}
3: n_f1___3->n_f1___1: 1 {O(1)}
4: n_f1___3->n_f1___2: 1 {O(1)}
0: n_f0->n_f1___3, Arg_0: 3 {O(1)}
0: n_f0->n_f1___3, Arg_1: 3 {O(1)}
0: n_f0->n_f1___3, Arg_2: 2 {O(1)}
0: n_f0->n_f1___3, Arg_3: Arg_3 {O(n)}
1: n_f1___1->n_f1___1, Arg_0: 0 {O(1)}
1: n_f1___1->n_f1___1, Arg_1: 1 {O(1)}
1: n_f1___1->n_f1___1, Arg_2: 2 {O(1)}
1: n_f1___1->n_f1___1, Arg_3: 1 {O(1)}
2: n_f1___2->n_f1___2, Arg_0: 3 {O(1)}
2: n_f1___2->n_f1___2, Arg_1: 3 {O(1)}
2: n_f1___2->n_f1___2, Arg_2: 2 {O(1)}
2: n_f1___2->n_f1___2, Arg_3: 3 {O(1)}
3: n_f1___3->n_f1___1, Arg_0: 2 {O(1)}
3: n_f1___3->n_f1___1, Arg_1: 2 {O(1)}
3: n_f1___3->n_f1___1, Arg_2: 2 {O(1)}
3: n_f1___3->n_f1___1, Arg_3: 2 {O(1)}
4: n_f1___3->n_f1___2, Arg_0: 3 {O(1)}
4: n_f1___3->n_f1___2, Arg_1: 3 {O(1)}
4: n_f1___3->n_f1___2, Arg_2: 2 {O(1)}
4: n_f1___3->n_f1___2, Arg_3: 3 {O(1)}