Initial Problem

Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: E
Locations: evalfbb2in, evalfbb3in, evalfbb4in, evalfbb5in, evalfbb6in, evalfbb7in, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
12:evalfbb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3+1)
10:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb2in(Arg_0,Arg_1,Arg_2,Arg_3):|:1+Arg_3<=Arg_2
11:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_2<=Arg_3
13:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb5in(Arg_0,Arg_1,Arg_2+1,Arg_3)
8:evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb3in(Arg_0,Arg_1,Arg_2,0):|:1+Arg_2<=Arg_1
9:evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1<=Arg_2
14:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb7in(Arg_0+1,Arg_1,Arg_2,Arg_3)
2:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb5in(Arg_0,Arg_1,0,Arg_3):|:0<=Arg_1^3 && Arg_1^3<=0 && 1+Arg_0<=0
3:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb5in(Arg_0,Arg_1,0,Arg_3):|:1<=Arg_1^3 && 0<=E && 2*E<=Arg_1^3 && Arg_1^3<=1+2*E && 1+Arg_0<=E
4:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb5in(Arg_0,Arg_1,0,Arg_3):|:Arg_1^3+1<=0 && E<=0 && 1+Arg_0<=E && Arg_1^3<=2*E && 2*E<=1+Arg_1^3
5:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_1^3 && Arg_1^3<=0 && 0<=Arg_0
6:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:1<=Arg_1^3 && 0<=E && 2*E<=Arg_1^3 && Arg_1^3<=1+2*E && E<=Arg_0
7:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_1^3+1<=0 && E<=0 && E<=Arg_0 && Arg_1^3<=2*E && 2*E<=1+Arg_1^3
1:evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb7in(0,Arg_1,Arg_2,Arg_3)
15:evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfstop(Arg_0,Arg_1,Arg_2,Arg_3)
0:evalfstart(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3)

Preprocessing

Found invariant 0<=Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_0 for location evalfbb5in

Found invariant 0<=Arg_0 for location evalfreturnin

Found invariant 1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 2<=Arg_0+Arg_1 && 0<=Arg_0 for location evalfbb2in

Found invariant Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1+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 evalfbb3in

Found invariant 0<=Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_0 for location evalfbb6in

Found invariant 0<=Arg_0 for location evalfbb7in

Found invariant 0<=Arg_0 for location evalfstop

Found invariant Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1+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 evalfbb4in

Cut unsatisfiable transition 2: evalfbb7in->evalfbb5in

Cut unsatisfiable transition 4: evalfbb7in->evalfbb5in

Problem after Preprocessing

Start: evalfstart
Program_Vars: Arg_0, Arg_1, Arg_2, Arg_3
Temp_Vars: E
Locations: evalfbb2in, evalfbb3in, evalfbb4in, evalfbb5in, evalfbb6in, evalfbb7in, evalfentryin, evalfreturnin, evalfstart, evalfstop
Transitions:
12:evalfbb2in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3+1):|:1+Arg_3<=Arg_2 && 2+Arg_3<=Arg_1 && 0<=Arg_3 && 1<=Arg_2+Arg_3 && 2<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1+Arg_2<=Arg_1 && 1<=Arg_2 && 3<=Arg_1+Arg_2 && 1<=Arg_0+Arg_2 && 2<=Arg_1 && 2<=Arg_0+Arg_1 && 0<=Arg_0
10:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb2in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1+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 && 1+Arg_3<=Arg_2
11:evalfbb3in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3):|:Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1+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_3
13:evalfbb4in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb5in(Arg_0,Arg_1,Arg_2+1,Arg_3):|:Arg_3<=Arg_2 && 1+Arg_3<=Arg_1 && 0<=Arg_3 && 0<=Arg_2+Arg_3 && Arg_2<=Arg_3 && 1<=Arg_1+Arg_3 && 0<=Arg_0+Arg_3 && 1+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
8:evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb3in(Arg_0,Arg_1,Arg_2,0):|:0<=Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_0 && 1+Arg_2<=Arg_1
9:evalfbb5in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_0 && Arg_1<=Arg_2
14:evalfbb6in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb7in(Arg_0+1,Arg_1,Arg_2,Arg_3):|:0<=Arg_2 && Arg_1<=Arg_2 && 0<=Arg_0+Arg_2 && 0<=Arg_0
3:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb5in(Arg_0,Arg_1,0,Arg_3):|:0<=Arg_0 && 1<=Arg_1^3 && 0<=E && 2*E<=Arg_1^3 && Arg_1^3<=1+2*E && 1+Arg_0<=E
5:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0 && 0<=Arg_1^3 && Arg_1^3<=0 && 0<=Arg_0
6:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0 && 1<=Arg_1^3 && 0<=E && 2*E<=Arg_1^3 && Arg_1^3<=1+2*E && E<=Arg_0
7:evalfbb7in(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0 && Arg_1^3+1<=0 && E<=0 && E<=Arg_0 && Arg_1^3<=2*E && 2*E<=1+Arg_1^3
1:evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfbb7in(0,Arg_1,Arg_2,Arg_3)
15:evalfreturnin(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfstop(Arg_0,Arg_1,Arg_2,Arg_3):|:0<=Arg_0
0:evalfstart(Arg_0,Arg_1,Arg_2,Arg_3) -> evalfentryin(Arg_0,Arg_1,Arg_2,Arg_3)

All Bounds

Timebounds

Overall timebound:inf {Infinity}
12: evalfbb2in->evalfbb3in: inf {Infinity}
10: evalfbb3in->evalfbb2in: inf {Infinity}
11: evalfbb3in->evalfbb4in: inf {Infinity}
13: evalfbb4in->evalfbb5in: inf {Infinity}
8: evalfbb5in->evalfbb3in: inf {Infinity}
9: evalfbb5in->evalfbb6in: inf {Infinity}
14: evalfbb6in->evalfbb7in: inf {Infinity}
3: evalfbb7in->evalfbb5in: inf {Infinity}
5: evalfbb7in->evalfreturnin: 1 {O(1)}
6: evalfbb7in->evalfreturnin: 1 {O(1)}
7: evalfbb7in->evalfreturnin: 1 {O(1)}
1: evalfentryin->evalfbb7in: 1 {O(1)}
15: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}

Costbounds

Overall costbound: inf {Infinity}
12: evalfbb2in->evalfbb3in: inf {Infinity}
10: evalfbb3in->evalfbb2in: inf {Infinity}
11: evalfbb3in->evalfbb4in: inf {Infinity}
13: evalfbb4in->evalfbb5in: inf {Infinity}
8: evalfbb5in->evalfbb3in: inf {Infinity}
9: evalfbb5in->evalfbb6in: inf {Infinity}
14: evalfbb6in->evalfbb7in: inf {Infinity}
3: evalfbb7in->evalfbb5in: inf {Infinity}
5: evalfbb7in->evalfreturnin: 1 {O(1)}
6: evalfbb7in->evalfreturnin: 1 {O(1)}
7: evalfbb7in->evalfreturnin: 1 {O(1)}
1: evalfentryin->evalfbb7in: 1 {O(1)}
15: evalfreturnin->evalfstop: 1 {O(1)}
0: evalfstart->evalfentryin: 1 {O(1)}

Sizebounds

12: evalfbb2in->evalfbb3in, Arg_1: Arg_1 {O(n)}
10: evalfbb3in->evalfbb2in, Arg_1: Arg_1 {O(n)}
11: evalfbb3in->evalfbb4in, Arg_1: Arg_1 {O(n)}
13: evalfbb4in->evalfbb5in, Arg_1: Arg_1 {O(n)}
8: evalfbb5in->evalfbb3in, Arg_1: Arg_1 {O(n)}
8: evalfbb5in->evalfbb3in, Arg_3: 0 {O(1)}
9: evalfbb5in->evalfbb6in, Arg_1: Arg_1 {O(n)}
14: evalfbb6in->evalfbb7in, Arg_1: Arg_1 {O(n)}
3: evalfbb7in->evalfbb5in, Arg_1: Arg_1 {O(n)}
3: evalfbb7in->evalfbb5in, Arg_2: 0 {O(1)}
5: evalfbb7in->evalfreturnin, Arg_1: 2*Arg_1 {O(n)}
6: evalfbb7in->evalfreturnin, Arg_1: 2*Arg_1 {O(n)}
7: evalfbb7in->evalfreturnin, Arg_1: 2*Arg_1 {O(n)}
1: evalfentryin->evalfbb7in, Arg_0: 0 {O(1)}
1: evalfentryin->evalfbb7in, Arg_1: Arg_1 {O(n)}
1: evalfentryin->evalfbb7in, Arg_2: Arg_2 {O(n)}
1: evalfentryin->evalfbb7in, Arg_3: Arg_3 {O(n)}
15: evalfreturnin->evalfstop, Arg_1: 6*Arg_1 {O(n)}
0: evalfstart->evalfentryin, Arg_0: Arg_0 {O(n)}
0: evalfstart->evalfentryin, Arg_1: Arg_1 {O(n)}
0: evalfstart->evalfentryin, Arg_2: Arg_2 {O(n)}
0: evalfstart->evalfentryin, Arg_3: Arg_3 {O(n)}