Start: l0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: l0, l1, l2, l3
Transitions:
0:l0(Arg_0,Arg_1,Arg_2,Arg_3) -> l1(0,Arg_1,Arg_2,Arg_3)
1:l1(Arg_0,Arg_1,Arg_2,Arg_3) -> l2(Arg_0,Arg_1,0,0):|:0<Arg_1
4:l1(Arg_0,Arg_1,Arg_2,Arg_3) -> l3(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=0
3:l2(Arg_0,Arg_1,Arg_2,Arg_3) -> l1(Arg_0+Arg_3,Arg_1-1,Arg_2,Arg_3):|:Arg_1<=Arg_2
2:l2(Arg_0,Arg_1,Arg_2,Arg_3) -> l2(Arg_0,Arg_1,Arg_2+1,Arg_3+Arg_2):|:Arg_2<Arg_1
5:l3(Arg_0,Arg_1,Arg_2,Arg_3) -> l3(Arg_0-1,Arg_1,Arg_2,Arg_3):|:0<Arg_0
Found invariant 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=1+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 for location l2
Found invariant 0<=Arg_0 for location l1
Found invariant Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_0 for location l3
Start: l0
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars:
Locations: l0, l1, l2, l3
Transitions:
0:l0(Arg_0,Arg_1,Arg_2,Arg_3) -> l1(0,Arg_1,Arg_2,Arg_3)
1:l1(Arg_0,Arg_1,Arg_2,Arg_3) -> l2(Arg_0,Arg_1,0,0):|:0<=Arg_0 && 0<Arg_1
4:l1(Arg_0,Arg_1,Arg_2,Arg_3) -> l3(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0 && Arg_1<=0
3:l2(Arg_0,Arg_1,Arg_2,Arg_3) -> l1(Arg_0+Arg_3,Arg_1-1,Arg_2,Arg_3):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=1+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_1<=Arg_2
2:l2(Arg_0,Arg_1,Arg_2,Arg_3) -> l2(Arg_0,Arg_1,Arg_2+1,Arg_3+Arg_2):|:0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=1+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && Arg_2<=Arg_1 && 0<=Arg_2 && 1<=Arg_1+Arg_2 && 0<=Arg_0+Arg_2 && 1<=Arg_1 && 1<=Arg_0+Arg_1 && 0<=Arg_0 && Arg_2<Arg_1
5:l3(Arg_0,Arg_1,Arg_2,Arg_3) -> l3(Arg_0-1,Arg_1,Arg_2,Arg_3):|:Arg_1<=0 && Arg_1<=Arg_0 && 0<=Arg_0 && 0<Arg_0
new bound:
Arg_1 {O(n)}
MPRF:
l2 [Arg_1-1 ]
l1 [Arg_1 ]
new bound:
Arg_1 {O(n)}
MPRF:
l2 [Arg_1 ]
l1 [Arg_1 ]
new bound:
Arg_1*Arg_1+2*Arg_1+1 {O(n^2)}
MPRF:
l1 [Arg_1+1 ]
l2 [Arg_1+1-Arg_2 ]
new bound:
2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1*Arg_1+1 {O(EXP)}
MPRF:
l3 [Arg_0+1 ]
Overall timebound:2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1*Arg_1+Arg_1*Arg_1+4*Arg_1+4 {O(EXP)}
0: l0->l1: 1 {O(1)}
1: l1->l2: Arg_1 {O(n)}
4: l1->l3: 1 {O(1)}
2: l2->l2: Arg_1*Arg_1+2*Arg_1+1 {O(n^2)}
3: l2->l1: Arg_1 {O(n)}
5: l3->l3: 2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1*Arg_1+1 {O(EXP)}
Overall costbound: 2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1*Arg_1+Arg_1*Arg_1+4*Arg_1+4 {O(EXP)}
0: l0->l1: 1 {O(1)}
1: l1->l2: Arg_1 {O(n)}
4: l1->l3: 1 {O(1)}
2: l2->l2: Arg_1*Arg_1+2*Arg_1+1 {O(n^2)}
3: l2->l1: Arg_1 {O(n)}
5: l3->l3: 2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1*Arg_1+1 {O(EXP)}
0: l0->l1, Arg_0: 0 {O(1)}
0: l0->l1, Arg_1: Arg_1 {O(n)}
0: l0->l1, Arg_2: Arg_2 {O(n)}
0: l0->l1, Arg_3: Arg_3 {O(n)}
1: l1->l2, Arg_0: 2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1*Arg_1 {O(EXP)}
1: l1->l2, Arg_1: Arg_1 {O(n)}
1: l1->l2, Arg_2: 0 {O(1)}
1: l1->l2, Arg_3: 0 {O(1)}
4: l1->l3, Arg_0: 2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1*Arg_1 {O(EXP)}
4: l1->l3, Arg_1: 2*Arg_1 {O(n)}
4: l1->l3, Arg_2: Arg_1*Arg_1+2*Arg_1+Arg_2+1 {O(n^2)}
4: l1->l3, Arg_3: 2*2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1+Arg_3 {O(EXP)}
2: l2->l2, Arg_0: 2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1*Arg_1 {O(EXP)}
2: l2->l2, Arg_1: Arg_1 {O(n)}
2: l2->l2, Arg_2: Arg_1*Arg_1+2*Arg_1+1 {O(n^2)}
2: l2->l2, Arg_3: 2*2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1 {O(EXP)}
3: l2->l1, Arg_0: 2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1*Arg_1 {O(EXP)}
3: l2->l1, Arg_1: Arg_1 {O(n)}
3: l2->l1, Arg_2: Arg_1*Arg_1+2*Arg_1+1 {O(n^2)}
3: l2->l1, Arg_3: 2*2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1 {O(EXP)}
5: l3->l3, Arg_0: 2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*3*Arg_1*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1*Arg_1 {O(EXP)}
5: l3->l3, Arg_1: 2*Arg_1 {O(n)}
5: l3->l3, Arg_2: Arg_1*Arg_1+2*Arg_1+Arg_2+1 {O(n^2)}
5: l3->l3, Arg_3: 2*2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1+2^(Arg_1*Arg_1+2*Arg_1+1)+2^(Arg_1*Arg_1+2*Arg_1+1)*Arg_1*Arg_1+Arg_3 {O(EXP)}