
Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    evalNestedSinglestart(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSingleentryin(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalNestedSingleentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb5in(0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb2in(Ar_0, Ar_1, Ar_0)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2)) [ 0 >= D + 1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2)) [ D >= 1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2 + 1))
		(Comp: ?, Cost: 1)    evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb5in(Ar_2 + 1, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglestop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglestart(Ar_0, Ar_1, Ar_2)) [ 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)    evalNestedSinglestart(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSingleentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    evalNestedSingleentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb5in(0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb2in(Ar_0, Ar_1, Ar_0)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2)) [ 0 >= D + 1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2)) [ D >= 1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2 + 1))
		(Comp: ?, Cost: 1)    evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb5in(Ar_2 + 1, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglestop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglestart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalNestedSinglestart) = 2
	Pol(evalNestedSingleentryin) = 2
	Pol(evalNestedSinglebb5in) = 2
	Pol(evalNestedSinglebb2in) = 2
	Pol(evalNestedSinglereturnin) = 1
	Pol(evalNestedSinglebb4in) = 2
	Pol(evalNestedSinglebb3in) = 2
	Pol(evalNestedSinglebb1in) = 2
	Pol(evalNestedSinglestop) = 0
	Pol(koat_start) = 2
orients all transitions weakly and the transitions
	evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglestop(Ar_0, Ar_1, Ar_2))
	evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_1 ]
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    evalNestedSinglestart(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSingleentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)    evalNestedSingleentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb5in(0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb2in(Ar_0, Ar_1, Ar_0)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: 2, Cost: 1)    evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2)) [ 0 >= D + 1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2)) [ D >= 1 ]
		(Comp: ?, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)    evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2 + 1))
		(Comp: ?, Cost: 1)    evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb5in(Ar_2 + 1, Ar_1, Ar_2))
		(Comp: 2, Cost: 1)    evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglestop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglestart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalNestedSinglestart) = 2*V_2 + 2
	Pol(evalNestedSingleentryin) = 2*V_2 + 2
	Pol(evalNestedSinglebb5in) = -2*V_1 + 2*V_2 + 2
	Pol(evalNestedSinglebb2in) = 2*V_2 - 2*V_3 + 1
	Pol(evalNestedSinglereturnin) = -2*V_1 + 2*V_2
	Pol(evalNestedSinglebb4in) = 2*V_2 - 2*V_3
	Pol(evalNestedSinglebb3in) = 2*V_2 - 2*V_3
	Pol(evalNestedSinglebb1in) = 2*V_2 - 2*V_3 - 1
	Pol(evalNestedSinglestop) = -2*V_1 + 2*V_2
	Pol(koat_start) = 2*V_2 + 2
orients all transitions weakly and the transitions
	evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb2in(Ar_0, Ar_1, Ar_0)) [ Ar_1 >= Ar_0 + 1 ]
	evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)             evalNestedSinglestart(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSingleentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             evalNestedSingleentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb5in(0, Ar_1, Ar_2))
		(Comp: 2*Ar_1 + 2, Cost: 1)    evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb2in(Ar_0, Ar_1, Ar_0)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: 2, Cost: 1)             evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_1 ]
		(Comp: ?, Cost: 1)             evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2, Cost: 1)    evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)             evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2)) [ 0 >= D + 1 ]
		(Comp: ?, Cost: 1)             evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2)) [ D >= 1 ]
		(Comp: ?, Cost: 1)             evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2))
		(Comp: ?, Cost: 1)             evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2 + 1))
		(Comp: ?, Cost: 1)             evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb5in(Ar_2 + 1, Ar_1, Ar_2))
		(Comp: 2, Cost: 1)             evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglestop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglestart(Ar_0, Ar_1, Ar_2)) [ 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)             evalNestedSinglestart(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSingleentryin(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 1)             evalNestedSingleentryin(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb5in(0, Ar_1, Ar_2))
		(Comp: 2*Ar_1 + 2, Cost: 1)    evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb2in(Ar_0, Ar_1, Ar_0)) [ Ar_1 >= Ar_0 + 1 ]
		(Comp: 2, Cost: 1)             evalNestedSinglebb5in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2)) [ Ar_0 >= Ar_1 ]
		(Comp: 4*Ar_1 + 4, Cost: 1)    evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2)) [ Ar_2 >= Ar_1 ]
		(Comp: 2*Ar_1 + 2, Cost: 1)    evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2)) [ Ar_1 >= Ar_2 + 1 ]
		(Comp: 2*Ar_1 + 2, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2)) [ 0 >= D + 1 ]
		(Comp: 2*Ar_1 + 2, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2)) [ D >= 1 ]
		(Comp: 2*Ar_1 + 2, Cost: 1)    evalNestedSinglebb3in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2))
		(Comp: 4*Ar_1 + 4, Cost: 1)    evalNestedSinglebb1in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb2in(Ar_0, Ar_1, Ar_2 + 1))
		(Comp: 6*Ar_1 + 6, Cost: 1)    evalNestedSinglebb4in(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglebb5in(Ar_2 + 1, Ar_1, Ar_2))
		(Comp: 2, Cost: 1)             evalNestedSinglereturnin(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglestop(Ar_0, Ar_1, Ar_2))
		(Comp: 1, Cost: 0)             koat_start(Ar_0, Ar_1, Ar_2) -> Com_1(evalNestedSinglestart(Ar_0, Ar_1, Ar_2)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 24*Ar_1 + 30

Time: 0.040 sec (SMT: 0.031 sec)
