
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    f(Ar_0) -> Com_1(f(Ar_0)) [ 0 >= Ar_0^2 + 1 ]
		(Comp: ?, Cost: 1)    start(Ar_0) -> Com_1(f(Ar_0))
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(start(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: ?, Cost: 1)    f(Ar_0) -> Com_1(f(Ar_0)) [ 0 >= Ar_0^2 + 1 ]
		(Comp: 1, Cost: 1)    start(Ar_0) -> Com_1(f(Ar_0))
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(start(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

By chaining the transition start(Ar_0) -> Com_1(f(Ar_0)) with all transitions in problem 2, the following new transition is obtained:
	start(Ar_0) -> Com_1(f(Ar_0)) [ 0 >= Ar_0^2 + 1 ]
We thus obtain the following problem:
3:	T:
		(Comp: 1, Cost: 2)    start(Ar_0) -> Com_1(f(Ar_0)) [ 0 >= Ar_0^2 + 1 ]
		(Comp: ?, Cost: 1)    f(Ar_0) -> Com_1(f(Ar_0)) [ 0 >= Ar_0^2 + 1 ]
		(Comp: 1, Cost: 0)    koat_start(Ar_0) -> Com_1(start(Ar_0)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound ?

Time: 0.013 sec (SMT: 0.011 sec)
