Initial Problem

Start: n_f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: C_P, NoDet0
Locations: n_f0, n_f14___2, n_f14___4, n_f22___3, n_f9___1, n_f9___5
Transitions:
0:n_f0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f9___5(NoDet0,0,Arg_2,0)
1:n_f14___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f14___2(Arg_0,Arg_1,Arg_2-1,Arg_3):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_2 && 1<=Arg_2
2:n_f14___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f9___1(NoDet0,Arg_1,C_P,0):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_2 && C_P<=0 && Arg_2<=C_P && C_P<=Arg_2
3:n_f14___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f14___2(Arg_0,Arg_1,Arg_2-1,Arg_3):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 1<=Arg_2
4:n_f14___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f9___1(NoDet0,Arg_1,C_P,0):|:Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && C_P<=0 && Arg_2<=C_P && C_P<=Arg_2
5:n_f22___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f22___3(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_0
6:n_f9___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f14___4(Arg_0,0,NoDet0,Arg_3):|:Arg_3<=0 && 0<=Arg_3 && Arg_2<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_3<=0 && 0<=Arg_3 && Arg_0<=0
7:n_f9___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f22___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=0 && 0<=Arg_3 && Arg_2<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_3<=0 && 0<=Arg_3 && 1<=Arg_0
8:n_f9___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f14___4(Arg_0,0,NoDet0,Arg_3):|:Arg_1<=0 && 0<=Arg_1 && Arg_3<=0 && 0<=Arg_3 && Arg_0<=0
9:n_f9___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f22___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0 && 0<=Arg_1 && Arg_3<=0 && 0<=Arg_3 && 1<=Arg_0

Preprocessing

Found invariant Arg_3<=0 && Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_0+Arg_3<=0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_0<=Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 for location n_f14___2

Found invariant Arg_3<=0 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_0+Arg_3<=0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_0<=Arg_3 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 for location n_f14___4

Found invariant Arg_3<=0 && Arg_2+Arg_3<=0 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 0<=Arg_3 && Arg_2<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_1<=0 && 0<=Arg_1 for location n_f9___1

Found invariant Arg_3<=0 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_1<=0 && 0<=Arg_1 for location n_f9___5

Found invariant Arg_3<=0 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 for location n_f22___3

Problem after Preprocessing

Start: n_f0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: C_P, NoDet0
Locations: n_f0, n_f14___2, n_f14___4, n_f22___3, n_f9___1, n_f9___5
Transitions:
0:n_f0(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f9___5(NoDet0,0,Arg_2,0)
1:n_f14___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f14___2(Arg_0,Arg_1,Arg_2-1,Arg_3):|:Arg_3<=0 && Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_0+Arg_3<=0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_0<=Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_2 && 1<=Arg_2
2:n_f14___2(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f9___1(NoDet0,Arg_1,C_P,0):|:Arg_3<=0 && Arg_3<=Arg_2 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_0+Arg_3<=0 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_0<=Arg_3 && 0<=Arg_2 && 0<=Arg_1+Arg_2 && Arg_1<=Arg_2 && Arg_0<=Arg_2 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 0<=Arg_2 && C_P<=0 && Arg_2<=C_P && C_P<=Arg_2
3:n_f14___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f14___2(Arg_0,Arg_1,Arg_2-1,Arg_3):|:Arg_3<=0 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_0+Arg_3<=0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_0<=Arg_3 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && 1<=Arg_2
4:n_f14___4(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f9___1(NoDet0,Arg_1,C_P,0):|:Arg_3<=0 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && Arg_0+Arg_3<=0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_0<=Arg_3 && Arg_1<=0 && Arg_0+Arg_1<=0 && 0<=Arg_1 && Arg_0<=Arg_1 && Arg_0<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_0<=0 && C_P<=0 && Arg_2<=C_P && C_P<=Arg_2
5:n_f22___3(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f22___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=0 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 1+Arg_3<=Arg_0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && 1<=Arg_0+Arg_3 && Arg_1<=0 && 1+Arg_1<=Arg_0 && 0<=Arg_1 && 1<=Arg_0+Arg_1 && 1<=Arg_0 && 1<=Arg_0
6:n_f9___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f14___4(Arg_0,0,NoDet0,Arg_3):|:Arg_3<=0 && Arg_2+Arg_3<=0 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 0<=Arg_3 && Arg_2<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_3<=0 && 0<=Arg_3 && Arg_2<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_3<=0 && 0<=Arg_3 && Arg_0<=0
7:n_f9___1(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f22___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=0 && Arg_2+Arg_3<=0 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 0<=Arg_3 && Arg_2<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_2<=0 && Arg_2<=Arg_1 && Arg_1+Arg_2<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_3<=0 && 0<=Arg_3 && Arg_2<=0 && Arg_1<=0 && 0<=Arg_1 && Arg_3<=0 && 0<=Arg_3 && 1<=Arg_0
8:n_f9___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f14___4(Arg_0,0,NoDet0,Arg_3):|:Arg_3<=0 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_1<=0 && 0<=Arg_1 && Arg_1<=0 && 0<=Arg_1 && Arg_3<=0 && 0<=Arg_3 && Arg_0<=0
9:n_f9___5(Arg_0,Arg_1,Arg_2,Arg_3) -> n_f22___3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=0 && Arg_3<=Arg_1 && Arg_1+Arg_3<=0 && 0<=Arg_3 && 0<=Arg_1+Arg_3 && Arg_1<=Arg_3 && Arg_1<=0 && 0<=Arg_1 && Arg_1<=0 && 0<=Arg_1 && Arg_3<=0 && 0<=Arg_3 && 1<=Arg_0

All Bounds

Timebounds

Overall timebound:inf {Infinity}
0: n_f0->n_f9___5: 1 {O(1)}
1: n_f14___2->n_f14___2: inf {Infinity}
2: n_f14___2->n_f9___1: inf {Infinity}
3: n_f14___4->n_f14___2: inf {Infinity}
4: n_f14___4->n_f9___1: inf {Infinity}
5: n_f22___3->n_f22___3: inf {Infinity}
6: n_f9___1->n_f14___4: inf {Infinity}
7: n_f9___1->n_f22___3: 1 {O(1)}
8: n_f9___5->n_f14___4: 1 {O(1)}
9: n_f9___5->n_f22___3: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
0: n_f0->n_f9___5: 1 {O(1)}
1: n_f14___2->n_f14___2: inf {Infinity}
2: n_f14___2->n_f9___1: inf {Infinity}
3: n_f14___4->n_f14___2: inf {Infinity}
4: n_f14___4->n_f9___1: inf {Infinity}
5: n_f22___3->n_f22___3: inf {Infinity}
6: n_f9___1->n_f14___4: inf {Infinity}
7: n_f9___1->n_f22___3: 1 {O(1)}
8: n_f9___5->n_f14___4: 1 {O(1)}
9: n_f9___5->n_f22___3: 1 {O(1)}

Sizebounds

0: n_f0->n_f9___5, Arg_1: 0 {O(1)}
0: n_f0->n_f9___5, Arg_2: Arg_2 {O(n)}
0: n_f0->n_f9___5, Arg_3: 0 {O(1)}
1: n_f14___2->n_f14___2, Arg_1: 0 {O(1)}
1: n_f14___2->n_f14___2, Arg_3: 0 {O(1)}
2: n_f14___2->n_f9___1, Arg_1: 0 {O(1)}
2: n_f14___2->n_f9___1, Arg_2: 0 {O(1)}
2: n_f14___2->n_f9___1, Arg_3: 0 {O(1)}
3: n_f14___4->n_f14___2, Arg_1: 0 {O(1)}
3: n_f14___4->n_f14___2, Arg_3: 0 {O(1)}
4: n_f14___4->n_f9___1, Arg_1: 0 {O(1)}
4: n_f14___4->n_f9___1, Arg_3: 0 {O(1)}
5: n_f22___3->n_f22___3, Arg_1: 0 {O(1)}
5: n_f22___3->n_f22___3, Arg_3: 0 {O(1)}
6: n_f9___1->n_f14___4, Arg_1: 0 {O(1)}
6: n_f9___1->n_f14___4, Arg_3: 0 {O(1)}
7: n_f9___1->n_f22___3, Arg_1: 0 {O(1)}
7: n_f9___1->n_f22___3, Arg_3: 0 {O(1)}
8: n_f9___5->n_f14___4, Arg_1: 0 {O(1)}
8: n_f9___5->n_f14___4, Arg_3: 0 {O(1)}
9: n_f9___5->n_f22___3, Arg_1: 0 {O(1)}
9: n_f9___5->n_f22___3, Arg_2: Arg_2 {O(n)}
9: n_f9___5->n_f22___3, Arg_3: 0 {O(1)}