WORST_CASE(?, O(n^2))

Initial complexity problem:
1:	T:
		(Comp: ?, Cost: 1)    evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]
		(Comp: ?, Cost: 1)    evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))
		(Comp: ?, Cost: 1)    evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 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)    evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]
		(Comp: ?, Cost: 1)    evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))
		(Comp: ?, Cost: 1)    evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalrealbubblestart) = 2
	Pol(evalrealbubbleentryin) = 2
	Pol(evalrealbubblebb7in) = 2
	Pol(evalrealbubblebb4in) = 2
	Pol(evalrealbubblereturnin) = 1
	Pol(evalrealbubblebb1in) = 2
	Pol(evalrealbubblebb5in) = 2
	Pol(evalrealbubblebb2in) = 2
	Pol(evalrealbubblebb3in) = 2
	Pol(evalrealbubblebb6in) = 2
	Pol(evalrealbubblestop) = 0
	Pol(koat_start) = 2
orients all transitions weakly and the transition
	evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))
strictly and produces the following problem:
3:	T:
		(Comp: 1, Cost: 1)    evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]
		(Comp: ?, Cost: 1)    evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))
		(Comp: ?, Cost: 1)    evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)    evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalrealbubblestart) = 1
	Pol(evalrealbubbleentryin) = 1
	Pol(evalrealbubblebb7in) = 1
	Pol(evalrealbubblebb4in) = 1
	Pol(evalrealbubblereturnin) = 0
	Pol(evalrealbubblebb1in) = 1
	Pol(evalrealbubblebb5in) = 1
	Pol(evalrealbubblebb2in) = 1
	Pol(evalrealbubblebb3in) = 1
	Pol(evalrealbubblebb6in) = 1
	Pol(evalrealbubblestop) = 0
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]
strictly and produces the following problem:
4:	T:
		(Comp: 1, Cost: 1)    evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]
		(Comp: ?, Cost: 1)    evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))
		(Comp: ?, Cost: 1)    evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))
		(Comp: 1, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)    evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalrealbubblestart) = 1
	Pol(evalrealbubbleentryin) = 1
	Pol(evalrealbubblebb7in) = 1
	Pol(evalrealbubblebb4in) = 1
	Pol(evalrealbubblereturnin) = 0
	Pol(evalrealbubblebb1in) = 1
	Pol(evalrealbubblebb5in) = 1
	Pol(evalrealbubblebb2in) = 1
	Pol(evalrealbubblebb3in) = 1
	Pol(evalrealbubblebb6in) = 1
	Pol(evalrealbubblestop) = 0
	Pol(koat_start) = 1
orients all transitions weakly and the transition
	evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]
strictly and produces the following problem:
5:	T:
		(Comp: 1, Cost: 1)    evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)    evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: ?, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]
		(Comp: 1, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]
		(Comp: ?, Cost: 1)    evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))
		(Comp: ?, Cost: 1)    evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))
		(Comp: 1, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]
		(Comp: ?, Cost: 1)    evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)    evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)    koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalrealbubblestart) = 2*V_1
	Pol(evalrealbubbleentryin) = 2*V_1
	Pol(evalrealbubblebb7in) = 2*V_1 - 1
	Pol(evalrealbubblebb4in) = 2*V_1 - 3
	Pol(evalrealbubblereturnin) = 2*V_1 - 3
	Pol(evalrealbubblebb1in) = 2*V_1 - 3
	Pol(evalrealbubblebb5in) = 2*V_1 - 3
	Pol(evalrealbubblebb2in) = 2*V_1 - 3
	Pol(evalrealbubblebb3in) = 2*V_1 - 3
	Pol(evalrealbubblebb6in) = 2*V_1 - 3
	Pol(evalrealbubblestop) = 2*V_1 - 3
	Pol(koat_start) = 2*V_1
orients all transitions weakly and the transition
	evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]
strictly and produces the following problem:
6:	T:
		(Comp: 1, Cost: 1)         evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2*Ar_0, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]
		(Comp: 1, Cost: 1)         evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)         evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: ?, Cost: 1)         evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: ?, Cost: 1)         evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]
		(Comp: ?, Cost: 1)         evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]
		(Comp: ?, Cost: 1)         evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))
		(Comp: ?, Cost: 1)         evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))
		(Comp: 1, Cost: 1)         evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]
		(Comp: ?, Cost: 1)         evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]
		(Comp: ?, Cost: 1)         evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]
		(Comp: ?, Cost: 1)         evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)         evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)         koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalrealbubblebb6in) = 1
	Pol(evalrealbubblebb7in) = 0
	Pol(evalrealbubblebb5in) = 2
	Pol(evalrealbubblebb4in) = 3
	Pol(evalrealbubblebb1in) = 3
	Pol(evalrealbubblebb3in) = 3
	Pol(evalrealbubblebb2in) = 3
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 + 1
	S("evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 + 2
	S("evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-0) = ?
	S("evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-2) = 1
	S("evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-3) = 1
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-0) = ?
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-1) = ?
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-2) = 1
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-3) = 1
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]", 0-0) = ?
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]", 0-1) = ?
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]", 0-2) = 1
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]", 0-3) = 1
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]", 0-0) = ?
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]", 0-1) = ?
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]", 0-2) = 0
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]", 0-3) = 1
	S("evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))", 0-0) = ?
	S("evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))", 0-1) = ?
	S("evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))", 0-2) = 1
	S("evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))", 0-3) = 1
	S("evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))", 0-0) = ?
	S("evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))", 0-1) = ?
	S("evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))", 0-2) = 1
	S("evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))", 0-3) = 1
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]", 0-0) = ?
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]", 0-1) = ?
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]", 0-2) = 1
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]", 0-3) = 1
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]", 0-0) = ?
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]", 0-1) = ?
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]", 0-2) = 1
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]", 0-3) = Ar_3 + 2
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-0) = ?
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-1) = ?
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-2) = 1
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-3) = 1
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = ?
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = ?
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = 1
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_3 + 2
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-0) = ?
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-1) = ?
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-2) = Ar_2 + 1
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-3) = Ar_3 + 1
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]", 0-0) = ?
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]", 0-1) = 0
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]", 0-2) = 0
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]", 0-3) = Ar_3 + 1
	S("evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 + 1
	S("evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
	evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]
	evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]
	evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]
	evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
	evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))
	evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))
	evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]
	evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]
weakly and the transitions
	evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
	evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]
	evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]
	evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]
strictly and produces the following problem:
7:	T:
		(Comp: 1, Cost: 1)         evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)         evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2*Ar_0, Cost: 1)    evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]
		(Comp: 1, Cost: 1)         evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]
		(Comp: ?, Cost: 1)         evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: 6*Ar_0, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: ?, Cost: 1)         evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]
		(Comp: ?, Cost: 1)         evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]
		(Comp: ?, Cost: 1)         evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))
		(Comp: ?, Cost: 1)         evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))
		(Comp: 1, Cost: 1)         evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]
		(Comp: 6*Ar_0, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]
		(Comp: 6*Ar_0, Cost: 1)    evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]
		(Comp: 6*Ar_0, Cost: 1)    evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)         evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)         koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

A polynomial rank function with
	Pol(evalrealbubblebb4in) = V_1 - V_2 + 1
	Pol(evalrealbubblebb1in) = V_1 - V_2
	Pol(evalrealbubblebb3in) = V_1 - V_2
	Pol(evalrealbubblebb2in) = V_1 - V_2
and size complexities
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-0) = Ar_0
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-1) = Ar_1
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-2) = Ar_2
	S("koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]", 0-3) = Ar_3
	S("evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = 7*Ar_0 + 2401
	S("evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2 + 1
	S("evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3 + 2
	S("evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-0) = 7*Ar_0 + 49
	S("evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-1) = ?
	S("evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-2) = 1
	S("evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-3) = 1
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-0) = 7*Ar_0 + 49
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-1) = ?
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-2) = 1
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]", 0-3) = 1
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]", 0-0) = 7*Ar_0 + 49
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]", 0-1) = ?
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]", 0-2) = 1
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]", 0-3) = 1
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]", 0-0) = 7*Ar_0 + 343
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]", 0-1) = ?
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]", 0-2) = 0
	S("evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]", 0-3) = 1
	S("evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))", 0-0) = 7*Ar_0 + 49
	S("evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))", 0-1) = ?
	S("evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))", 0-2) = 1
	S("evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))", 0-3) = 1
	S("evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))", 0-0) = 7*Ar_0 + 49
	S("evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))", 0-1) = ?
	S("evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))", 0-2) = 1
	S("evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))", 0-3) = 1
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]", 0-0) = 7*Ar_0 + 49
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]", 0-1) = ?
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]", 0-2) = 1
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]", 0-3) = 1
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]", 0-0) = 7*Ar_0 + 49
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]", 0-1) = ?
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]", 0-2) = 1
	S("evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]", 0-3) = Ar_3 + 2
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-0) = 7*Ar_0 + 49
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-1) = ?
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-2) = 1
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]", 0-3) = 1
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-0) = 7*Ar_0 + 49
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-1) = ?
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-2) = 1
	S("evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]", 0-3) = Ar_3 + 2
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-0) = 7*Ar_0 + 343
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-1) = ?
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-2) = Ar_2 + 1
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]", 0-3) = Ar_3 + 1
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]", 0-0) = 7*Ar_0 + 49
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]", 0-1) = 0
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]", 0-2) = 0
	S("evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]", 0-3) = Ar_3 + 1
	S("evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0 + 1
	S("evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
	S("evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-0) = Ar_0
	S("evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-1) = Ar_1
	S("evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-2) = Ar_2
	S("evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))", 0-3) = Ar_3
orients the transitions
	evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
	evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))
	evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))
	evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]
	evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]
weakly and the transition
	evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
strictly and produces the following problem:
8:	T:
		(Comp: 1, Cost: 1)                       evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                       evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2*Ar_0, Cost: 1)                  evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]
		(Comp: 1, Cost: 1)                       evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]
		(Comp: 14*Ar_0^2 + 100*Ar_0, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: 6*Ar_0, Cost: 1)                  evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: ?, Cost: 1)                       evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]
		(Comp: ?, Cost: 1)                       evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]
		(Comp: ?, Cost: 1)                       evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))
		(Comp: ?, Cost: 1)                       evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))
		(Comp: 1, Cost: 1)                       evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]
		(Comp: 6*Ar_0, Cost: 1)                  evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]
		(Comp: 6*Ar_0, Cost: 1)                  evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]
		(Comp: 6*Ar_0, Cost: 1)                  evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)                       evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)                       koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Repeatedly propagating knowledge in problem 8 produces the following problem:
9:	T:
		(Comp: 1, Cost: 1)                       evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 1)                       evalrealbubbleentryin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2*Ar_0, Cost: 1)                  evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, 0, 0, Ar_3)) [ Ar_0 >= 1 ]
		(Comp: 1, Cost: 1)                       evalrealbubblebb7in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_0 ]
		(Comp: 14*Ar_0^2 + 100*Ar_0, Cost: 1)    evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_0 >= Ar_1 + 1 ]
		(Comp: 6*Ar_0, Cost: 1)                  evalrealbubblebb4in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_1 >= Ar_0 ]
		(Comp: 14*Ar_0^2 + 100*Ar_0, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3)) [ E >= F + 1 ]
		(Comp: 14*Ar_0^2 + 100*Ar_0, Cost: 1)    evalrealbubblebb1in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_2)) [ F >= E ]
		(Comp: 14*Ar_0^2 + 100*Ar_0, Cost: 1)    evalrealbubblebb2in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, 1))
		(Comp: 28*Ar_0^2 + 200*Ar_0, Cost: 1)    evalrealbubblebb3in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb4in(Ar_0, Ar_1 + 1, Ar_3, Ar_3))
		(Comp: 1, Cost: 1)                       evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 = 0 ]
		(Comp: 6*Ar_0, Cost: 1)                  evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 >= Ar_2 + 1 ]
		(Comp: 6*Ar_0, Cost: 1)                  evalrealbubblebb5in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3)) [ Ar_2 >= 1 ]
		(Comp: 6*Ar_0, Cost: 1)                  evalrealbubblebb6in(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblebb7in(Ar_0 - 1, Ar_1, Ar_2, Ar_3))
		(Comp: 2, Cost: 1)                       evalrealbubblereturnin(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestop(Ar_0, Ar_1, Ar_2, Ar_3))
		(Comp: 1, Cost: 0)                       koat_start(Ar_0, Ar_1, Ar_2, Ar_3) -> Com_1(evalrealbubblestart(Ar_0, Ar_1, Ar_2, Ar_3)) [ 0 <= 0 ]
	start location:	koat_start
	leaf cost:	0

Complexity upper bound 626*Ar_0 + 84*Ar_0^2 + 6

Time: 1.481 sec (SMT: 1.413 sec)