
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    evalfstart(Ar_0, Ar_1) -> Com_1(evalfentryin(Ar_0, Ar_1))
		(Comp: ?, Cost: 1)    evalfentryin(Ar_0, Ar_1) -> Com_1(evalfbb1in(Ar_1, Ar_0))
		(Comp: ?, Cost: 1)    evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfbbin(Ar_0, Ar_1)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfreturnin(Ar_0, Ar_1)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalfbbin(Ar_0, Ar_1) -> Com_1(evalfbb1in(Ar_0, Ar_1 + 1))
		(Comp: ?, Cost: 1)    evalfreturnin(Ar_0, Ar_1) -> Com_1(evalfstop(Ar_0, Ar_1))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(evalfstart(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 1 produces the following problem:
2:	T:
		(Comp: 1, Cost: 1)    evalfstart(Ar_0, Ar_1) -> Com_1(evalfentryin(Ar_0, Ar_1))
		(Comp: 1, Cost: 1)    evalfentryin(Ar_0, Ar_1) -> Com_1(evalfbb1in(Ar_1, Ar_0))
		(Comp: ?, Cost: 1)    evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfbbin(Ar_0, Ar_1)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfreturnin(Ar_0, Ar_1)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalfbbin(Ar_0, Ar_1) -> Com_1(evalfbb1in(Ar_0, Ar_1 + 1))
		(Comp: ?, Cost: 1)    evalfreturnin(Ar_0, Ar_1) -> Com_1(evalfstop(Ar_0, Ar_1))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(evalfstart(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalfstart) = 2
	Pol(evalfentryin) = 2
	Pol(evalfbb1in) = 2
	Pol(evalfbbin) = 2
	Pol(evalfreturnin) = 1
	Pol(evalfstop) = 0
	Pol(koat_start) = 2
orients all transitions weakly and the transitions
	evalfreturnin(Ar_0, Ar_1) -> Com_1(evalfstop(Ar_0, Ar_1))
	evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfreturnin(Ar_0, Ar_1)) [ Ar_1 >= Ar_0 + 1 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    evalfstart(Ar_0, Ar_1) -> Com_1(evalfentryin(Ar_0, Ar_1))
		(Comp: 1, Cost: 1)    evalfentryin(Ar_0, Ar_1) -> Com_1(evalfbb1in(Ar_1, Ar_0))
		(Comp: ?, Cost: 1)    evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfbbin(Ar_0, Ar_1)) [ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)    evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfreturnin(Ar_0, Ar_1)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalfbbin(Ar_0, Ar_1) -> Com_1(evalfbb1in(Ar_0, Ar_1 + 1))
		(Comp: 2, Cost: 1)    evalfreturnin(Ar_0, Ar_1) -> Com_1(evalfstop(Ar_0, Ar_1))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1) -> Com_1(evalfstart(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalfstart) = -V_1 + V_2 + 1
	Pol(evalfentryin) = -V_1 + V_2 + 1
	Pol(evalfbb1in) = V_1 - V_2 + 1
	Pol(evalfbbin) = V_1 - V_2
	Pol(evalfreturnin) = V_1 - V_2
	Pol(evalfstop) = V_1 - V_2
	Pol(koat_start) = -V_1 + V_2 + 1
orients all transitions weakly and the transition
	evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfbbin(Ar_0, Ar_1)) [ Ar_0 >= Ar_1 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)                  evalfstart(Ar_0, Ar_1) -> Com_1(evalfentryin(Ar_0, Ar_1))
		(Comp: 1, Cost: 1)                  evalfentryin(Ar_0, Ar_1) -> Com_1(evalfbb1in(Ar_1, Ar_0))
		(Comp: Ar_0 + Ar_1 + 1, Cost: 1)    evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfbbin(Ar_0, Ar_1)) [ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)                  evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfreturnin(Ar_0, Ar_1)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)                  evalfbbin(Ar_0, Ar_1) -> Com_1(evalfbb1in(Ar_0, Ar_1 + 1))
		(Comp: 2, Cost: 1)                  evalfreturnin(Ar_0, Ar_1) -> Com_1(evalfstop(Ar_0, Ar_1))
		(Comp: 1, Cost: 0)                  koat_start(Ar_0, Ar_1) -> Com_1(evalfstart(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 4 produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)                  evalfstart(Ar_0, Ar_1) -> Com_1(evalfentryin(Ar_0, Ar_1))
		(Comp: 1, Cost: 1)                  evalfentryin(Ar_0, Ar_1) -> Com_1(evalfbb1in(Ar_1, Ar_0))
		(Comp: Ar_0 + Ar_1 + 1, Cost: 1)    evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfbbin(Ar_0, Ar_1)) [ Ar_0 >= Ar_1 ]
		(Comp: 2, Cost: 1)                  evalfbb1in(Ar_0, Ar_1) -> Com_1(evalfreturnin(Ar_0, Ar_1)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: Ar_0 + Ar_1 + 1, Cost: 1)    evalfbbin(Ar_0, Ar_1) -> Com_1(evalfbb1in(Ar_0, Ar_1 + 1))
		(Comp: 2, Cost: 1)                  evalfreturnin(Ar_0, Ar_1) -> Com_1(evalfstop(Ar_0, Ar_1))
		(Comp: 1, Cost: 0)                  koat_start(Ar_0, Ar_1) -> Com_1(evalfstart(Ar_0, Ar_1)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 2*Ar_0 + 2*Ar_1 + 8

Time: 0.016 sec (SMT: 0.014 sec)
